tricu

commit 4e6b4d449c0e769b38d749c00e6eb5965d5e2693
parent 44353a5b2d2705689f45e18d4182fb84a5e3e480
Author: James Eversole <james@eversole.co>
Date:   Sun, 25 Oct 2026 13:05:22 -0500

Eliminate certified Boolean bindings before stable abstraction

Diffstat:
A
STATUS.md
 | 
27
+++++++++++++++++++++++++++
A
bench/abstraction-binding-results.json
 | 
1749
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
bench/binding-analysis-results.json
 | 
3789
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
bench/binding-analysis.tri
 | 
83
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
bench/binding-backend-results.json
 | 
371
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
bench/binding-compiler-results.json
 | 
24655
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
bench/binding-failure-results.json
 | 
1991
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
bench/binding-stable-results.json
 | 
11487
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
bench/binding-substitution-results.json
 | 
1318
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
bench/binding-substitution.tri
 | 
90
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
bench/float-adder-results.json
 | 
3481
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
bench/float-adders.tri
 | 
42
++++++++++++++++++++++++++++++++++++++++++
A
bench/float-layout-results.json
 | 
1715
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
bench/float-layouts.tri
 | 
89
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
bench/float-multiply-results.json
 | 
9895
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
bench/float-multiply.tri
 | 
78
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
bench/float-pipeline-results.json
 | 
3868
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
bench/float-pipelines.tri
 | 
136
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
bench/float-significand-results.json
 | 
6340
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
bench/float-significands.tri
 | 
124
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
bootstrap/binding-certificates.json
 | 
25
+++++++++++++++++++++++++
M
bootstrap/compiler-source-map.v1
 | 
5
++++-
A
docs/abstraction-binding-investigation.md
 | 
224
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
docs/binding-analysis-prototype.md
 | 
197
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
docs/binding-backend-contract.md
 | 
222
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
docs/binding-compiler-investigation.md
 | 
223
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
docs/binding-elimination.md
 | 
80
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
docs/binding-failure-investigation.md
 | 
229
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
docs/binding-substitution-candidate.md
 | 
243
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
docs/float-layout-investigation.md
 | 
167
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
docs/float-multiply-investigation.md
 | 
272
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
docs/float-pipeline-investigation.md
 | 
203
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
docs/float-significand-investigation.md
 | 
200
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
lib/source/binding.tri
 | 
96
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
lib/source/binding_analysis.tri
 | 
88
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
lib/source/binding_support.tri
 | 
15
+++++++++++++++
M
lib/source/stable.tri
 | 
3
++-
A
test/abstraction_binding_model.py
 | 
159
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
test/abstraction_bindings.py
 | 
181
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
test/binding_analysis.py
 | 
196
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
test/binding_analysis_test.py
 | 
45
+++++++++++++++++++++++++++++++++++++++++++++
A
test/binding_compiler_candidate.py
 | 
66
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
test/binding_compiler_measure.py
 | 
128
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
test/binding_compiler_small.py
 | 
106
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
test/binding_failure_cold.py
 | 
70
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
test/binding_failure_isolate.py
 | 
70
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
test/binding_semantics.py
 | 
210
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
test/binding_semantics_test.py
 | 
34
++++++++++++++++++++++++++++++++++
A
test/binding_stable_integration.py
 | 
74
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
test/binding_stable_validation.py
 | 
94
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
test/binding_substitution.py
 | 
348
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
test/binding_substitution_test.py
 | 
53
+++++++++++++++++++++++++++++++++++++++++++++++++++++
A
test/float_adders.py
 | 
151
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
test/float_adders_demand_test.py
 | 
65
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
test/float_layouts.py
 | 
122
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
test/float_multiply.py
 | 
187
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
test/float_pipelines.py
 | 
222
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
test/float_pipelines_oracle_test.py
 | 
44
++++++++++++++++++++++++++++++++++++++++++++
A
test/float_significands.py
 | 
209
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A
test/float_significands_oracle_test.py
 | 
32
++++++++++++++++++++++++++++++++
M
test/stable_abstraction.py
 | 
19
+++++++++++++------
M
test/stable_constructor_k.py
 | 
7
++++---

62 files changed, 76701 insertions(+), 11 deletions(-)
diff --git a/STATUS.md b/STATUS.md
@@ -0,0 +1,27 @@
+# Stable binding-elimination checkpoint
+
+The guarded binding pass is integrated into the existing stable compiler, not a
+third backend. See [binding elimination](docs/binding-elimination.md).
+
+- Added compiler-owned support, analysis and substitution modules.
+- Stable calls the pass before its unchanged elimination/bracketing machinery.
+- Removed the separate backend, profile and source projection scaffold.
+- Targeted stable validation passes: 277 analyses, 1,385 binding decisions, 18
+  complete core comparisons, and 76 exact arithmetic exports matching the measured
+  candidate. A fresh-store compiler self-rebuild is byte-for-byte identical.
+- Constructor-K invariants, independent construction/demand/diagnostic controls,
+  local-binding controls and provenance checks pass on the changed stable source.
+- Earlier corpus checks include 38 ordering/compiled-result cases, 28 abstraction
+  cases, and broader demand controls. Final-generation tests remain required.
+- Function-tree changes are expected compiler-version changes, not a reason for
+  an additional backend. Targeted regression tests and the existing corpus govern
+  acceptance, including lazy demand and sharing.
+
+Evidence: `bench/binding-stable-results.json`. Earlier reports remain historical;
+separate-backend claims in them are superseded, not current product policy.
+
+Pending: commit/freeze this coherent source batch, fast-forward parent main,
+then fresh stable generations, independent acceptance, generation smokes,
+fixture/support publication and retention. Accepted artifacts and published
+fixture snapshots have not yet been replaced. The reducer and numeric APIs are
+unchanged. No acceptance or promotion is claimed yet.
diff --git a/bench/abstraction-binding-results.json b/bench/abstraction-binding-results.json
@@ -0,0 +1,1749 @@
+{
+  "stage": "stable-binding-attribution-and-safety-controls",
+  "git_head": "23e96a601e150ab79c6329246a0523d972a625e6",
+  "run": {
+    "complete": true,
+    "runtime_sha256": "15517148463a5ee0d3d4cc26f80d2aa69807946a405237aeeb4f128fb237d5d6",
+    "compiler_sha256": "6b7b389d64af12d85b85598db69d7ff71cf3dcb991c584e17e0caec8bcb44c7b",
+    "harness_sha256": "2878035965be9a79060dae5fff74488d624822383be53a8a1deda61d144061dd",
+    "model_sha256": "837a85f323b3376b29751e0acf0e1b6801e356dc8339af2fbaacc6d241c976bb",
+    "runner_dependency_sha256": "f54ae048b7ba7706fe90ce82eab40a488f328f9faa43533bc852cb469d6a2edf",
+    "source_sha256": "12124184e7562998cefb70a4c9a54f66925b8dfcc86ecf49da34f5fa37eb95c6",
+    "platform": "Linux-6.18.42-x86_64-with-glibc2.42",
+    "model": [
+      {
+        "name": "etaExpanded",
+        "exact_tree_match": true,
+        "reachable_dag_nodes": 14,
+        "counters": {
+          "dependent_distribution": 5,
+          "variable_K": 1,
+          "identity": 2,
+          "literal_K": 4,
+          "literal_stem_fold": 8,
+          "literal_leaf_fold": 8
+        },
+        "binders": [
+          {
+            "binder": "arg",
+            "counts": {
+              "dependent_distribution": 1,
+              "variable_K": 1,
+              "identity": 1
+            }
+          },
+          {
+            "binder": "f",
+            "counts": {
+              "dependent_distribution": 4,
+              "identity": 1,
+              "literal_K": 4,
+              "literal_stem_fold": 8,
+              "literal_leaf_fold": 8
+            }
+          }
+        ]
+      },
+      {
+        "name": "etaContracted",
+        "exact_tree_match": true,
+        "reachable_dag_nodes": 4,
+        "counters": {
+          "identity": 1
+        },
+        "binders": [
+          {
+            "binder": "f",
+            "counts": {
+              "identity": 1
+            }
+          }
+        ]
+      },
+      {
+        "name": "singleBound",
+        "exact_tree_match": true,
+        "reachable_dag_nodes": 77,
+        "counters": {
+          "dependent_distribution": 6,
+          "literal_K": 5,
+          "literal_stem_fold": 10,
+          "identity": 3,
+          "literal_leaf_fold": 12,
+          "variable_K": 1
+        },
+        "binders": [
+          {
+            "binder": "z",
+            "counts": {
+              "dependent_distribution": 2,
+              "literal_K": 1,
+              "literal_stem_fold": 2,
+              "identity": 1,
+              "literal_leaf_fold": 4,
+              "variable_K": 1
+            }
+          },
+          {
+            "binder": "x",
+            "counts": {
+              "dependent_distribution": 4,
+              "literal_K": 3,
+              "literal_stem_fold": 7,
+              "identity": 2,
+              "literal_leaf_fold": 8
+            }
+          },
+          {
+            "binder": "flag",
+            "counts": {
+              "literal_K": 1,
+              "literal_stem_fold": 1
+            }
+          }
+        ]
+      },
+      {
+        "name": "singleInline",
+        "exact_tree_match": true,
+        "reachable_dag_nodes": 73,
+        "counters": {
+          "dependent_distribution": 3,
+          "literal_K": 3,
+          "literal_stem_fold": 6,
+          "identity": 2,
+          "literal_leaf_fold": 6
+        },
+        "binders": [
+          {
+            "binder": "x",
+            "counts": {
+              "dependent_distribution": 3,
+              "literal_K": 2,
+              "literal_stem_fold": 5,
+              "identity": 2,
+              "literal_leaf_fold": 6
+            }
+          },
+          {
+            "binder": "flag",
+            "counts": {
+              "literal_K": 1,
+              "literal_stem_fold": 1
+            }
+          }
+        ]
+      },
+      {
+        "name": "branchBound",
+        "exact_tree_match": true,
+        "reachable_dag_nodes": 94,
+        "counters": {
+          "dependent_distribution": 28,
+          "literal_K": 21,
+          "literal_stem_fold": 42,
+          "identity": 6,
+          "literal_leaf_fold": 48,
+          "variable_K": 2,
+          "constructor_K": 2
+        },
+        "binders": [
+          {
+            "binder": "z",
+            "counts": {
+              "dependent_distribution": 6,
+              "literal_K": 2,
+              "literal_stem_fold": 3,
+              "identity": 2,
+              "literal_leaf_fold": 6,
+              "variable_K": 2,
+              "constructor_K": 1
+            }
+          },
+          {
+            "binder": "x",
+            "counts": {
+              "dependent_distribution": 16,
+              "literal_K": 13,
+              "literal_stem_fold": 27,
+              "identity": 3,
+              "literal_leaf_fold": 30,
+              "constructor_K": 1
+            }
+          },
+          {
+            "binder": "flag",
+            "counts": {
+              "dependent_distribution": 6,
+              "literal_K": 6,
+              "literal_stem_fold": 12,
+              "identity": 1,
+              "literal_leaf_fold": 12
+            }
+          }
+        ]
+      },
+      {
+        "name": "branchInline",
+        "exact_tree_match": true,
+        "reachable_dag_nodes": 82,
+        "counters": {
+          "dependent_distribution": 11,
+          "literal_K": 7,
+          "literal_stem_fold": 17,
+          "identity": 5,
+          "literal_leaf_fold": 22,
+          "variable_K": 1
+        },
+        "binders": [
+          {
+            "binder": "x",
+            "counts": {
+              "dependent_distribution": 9,
+              "literal_K": 5,
+              "literal_stem_fold": 13,
+              "identity": 4,
+              "literal_leaf_fold": 18,
+              "variable_K": 1
+            }
+          },
+          {
+            "binder": "flag",
+            "counts": {
+              "dependent_distribution": 2,
+              "literal_K": 2,
+              "literal_stem_fold": 4,
+              "identity": 1,
+              "literal_leaf_fold": 4
+            }
+          }
+        ]
+      },
+      {
+        "name": "constructorBound",
+        "exact_tree_match": true,
+        "reachable_dag_nodes": 86,
+        "counters": {
+          "dependent_distribution": 28,
+          "literal_K": 21,
+          "literal_stem_fold": 42,
+          "identity": 6,
+          "literal_leaf_fold": 48,
+          "variable_K": 2,
+          "constructor_K": 2
+        },
+        "binders": [
+          {
+            "binder": "z",
+            "counts": {
+              "dependent_distribution": 6,
+              "literal_K": 2,
+              "literal_stem_fold": 3,
+              "identity": 2,
+              "literal_leaf_fold": 6,
+              "variable_K": 2,
+              "constructor_K": 1
+            }
+          },
+          {
+            "binder": "x",
+            "counts": {
+              "dependent_distribution": 16,
+              "literal_K": 13,
+              "literal_stem_fold": 27,
+              "identity": 3,
+              "literal_leaf_fold": 30,
+              "constructor_K": 1
+            }
+          },
+          {
+            "binder": "flag",
+            "counts": {
+              "dependent_distribution": 6,
+              "literal_K": 6,
+              "literal_stem_fold": 12,
+              "identity": 1,
+              "literal_leaf_fold": 12
+            }
+          }
+        ]
+      },
+      {
+        "name": "constructorInline",
+        "exact_tree_match": true,
+        "reachable_dag_nodes": 74,
+        "counters": {
+          "dependent_distribution": 11,
+          "literal_K": 7,
+          "literal_stem_fold": 17,
+          "identity": 5,
+          "literal_leaf_fold": 22,
+          "variable_K": 1
+        },
+        "binders": [
+          {
+            "binder": "x",
+            "counts": {
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+              "literal_K": 5,
+              "literal_stem_fold": 13,
+              "identity": 4,
+              "literal_leaf_fold": 18,
+              "variable_K": 1
+            }
+          },
+          {
+            "binder": "flag",
+            "counts": {
+              "dependent_distribution": 2,
+              "literal_K": 2,
+              "literal_stem_fold": 4,
+              "identity": 1,
+              "literal_leaf_fold": 4
+            }
+          }
+        ]
+      },
+      {
+        "name": "sharedBound",
+        "exact_tree_match": true,
+        "reachable_dag_nodes": 97,
+        "counters": {
+          "dependent_distribution": 4,
+          "literal_K": 3,
+          "literal_stem_fold": 7,
+          "identity": 3,
+          "literal_leaf_fold": 8
+        },
+        "binders": [
+          {
+            "binder": "z",
+            "counts": {
+              "dependent_distribution": 2,
+              "literal_K": 1,
+              "literal_stem_fold": 3,
+              "identity": 2,
+              "literal_leaf_fold": 4
+            }
+          },
+          {
+            "binder": "x",
+            "counts": {
+              "dependent_distribution": 2,
+              "literal_K": 2,
+              "literal_stem_fold": 4,
+              "identity": 1,
+              "literal_leaf_fold": 4
+            }
+          }
+        ]
+      },
+      {
+        "name": "sharedInline",
+        "exact_tree_match": true,
+        "reachable_dag_nodes": 95,
+        "counters": {
+          "dependent_distribution": 4,
+          "literal_K": 3,
+          "literal_stem_fold": 7,
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+          "literal_leaf_fold": 8
+        },
+        "binders": [
+          {
+            "binder": "x",
+            "counts": {
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+              "literal_K": 3,
+              "literal_stem_fold": 7,
+              "identity": 2,
+              "literal_leaf_fold": 8
+            }
+          }
+        ]
+      },
+      {
+        "name": "closureBound",
+        "exact_tree_match": true,
+        "reachable_dag_nodes": 51,
+        "counters": {
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+          "dependent_distribution": 3,
+          "literal_K": 3,
+          "literal_stem_fold": 6,
+          "identity": 2,
+          "literal_leaf_fold": 6
+        },
+        "binders": [
+          {
+            "binder": "ignored",
+            "counts": {
+              "variable_K": 1
+            }
+          },
+          {
+            "binder": "z",
+            "counts": {
+              "dependent_distribution": 1,
+              "literal_K": 1,
+              "literal_stem_fold": 2,
+              "identity": 1,
+              "literal_leaf_fold": 2
+            }
+          },
+          {
+            "binder": "x",
+            "counts": {
+              "dependent_distribution": 2,
+              "literal_K": 2,
+              "literal_stem_fold": 4,
+              "identity": 1,
+              "literal_leaf_fold": 4
+            }
+          }
+        ]
+      },
+      {
+        "name": "closureInline",
+        "exact_tree_match": true,
+        "reachable_dag_nodes": 52,
+        "counters": {
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+          "literal_K": 3,
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+          "literal_leaf_fold": 6,
+          "dependent_distribution": 2,
+          "identity": 1
+        },
+        "binders": [
+          {
+            "binder": "ignored",
+            "counts": {
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+            }
+          },
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+              "literal_leaf_fold": 4,
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+              "identity": 1
+            }
+          }
+        ]
+      },
+      {
+        "name": "unusedBound",
+        "exact_tree_match": true,
+        "reachable_dag_nodes": 51,
+        "counters": {
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+          "independent_computation_distribution": 1
+        },
+        "binders": [
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+            "counts": {
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+            }
+          },
+          {
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+              "independent_computation_distribution": 1
+            }
+          }
+        ]
+      },
+      {
+        "name": "unusedInline",
+        "exact_tree_match": true,
+        "reachable_dag_nodes": 4,
+        "counters": {
+          "identity": 1
+        },
+        "binders": [
+          {
+            "binder": "x",
+            "counts": {
+              "identity": 1
+            }
+          }
+        ]
+      },
+      {
+        "name": "closedBranchBound",
+        "exact_tree_match": true,
+        "reachable_dag_nodes": 106,
+        "counters": {
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+          "literal_K": 6,
+          "literal_stem_fold": 12,
+          "identity": 2,
+          "literal_leaf_fold": 14,
+          "variable_K": 1,
+          "independent_computation_distribution": 1
+        },
+        "binders": [
+          {
+            "binder": "z",
+            "counts": {
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+              "literal_K": 2,
+              "literal_stem_fold": 4,
+              "identity": 1,
+              "literal_leaf_fold": 6,
+              "variable_K": 1
+            }
+          },
+          {
+            "binder": "flag",
+            "counts": {
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+              "literal_K": 4,
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+              "identity": 1,
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+              "independent_computation_distribution": 1
+            }
+          }
+        ]
+      },
+      {
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+        "exact_tree_match": true,
+        "reachable_dag_nodes": 101,
+        "counters": {
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+          "independent_computation_distribution": 3,
+          "literal_K": 4,
+          "literal_stem_fold": 8,
+          "literal_leaf_fold": 8,
+          "identity": 1
+        },
+        "binders": [
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+            "counts": {
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+              "literal_K": 4,
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+              "literal_leaf_fold": 8,
+              "identity": 1
+            }
+          }
+        ]
+      },
+      {
+        "name": "adderBound",
+        "exact_tree_match": true,
+        "reachable_dag_nodes": 196,
+        "counters": {
+          "dependent_distribution": 119,
+          "literal_K": 100,
+          "literal_stem_fold": 176,
+          "independent_computation_distribution": 8,
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+}
diff --git a/bench/binding-analysis-results.json b/bench/binding-analysis-results.json
@@ -0,0 +1,3789 @@
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+        "malformed": false
+      },
+      {
+        "name": "generated-229",
+        "classification": 3,
+        "uses": 2,
+        "max_path_uses": 2,
+        "path_counts": [
+          2
+        ],
+        "escape": true,
+        "unknown": true,
+        "partial": false,
+        "malformed": false
+      },
+      {
+        "name": "generated-230",
+        "classification": 4,
+        "uses": 4,
+        "max_path_uses": 3,
+        "path_counts": [
+          3
+        ],
+        "escape": false,
+        "unknown": true,
+        "partial": false,
+        "malformed": false
+      },
+      {
+        "name": "generated-231",
+        "classification": 1,
+        "uses": 1,
+        "max_path_uses": 1,
+        "path_counts": [
+          1
+        ],
+        "escape": false,
+        "unknown": false,
+        "partial": false,
+        "malformed": false
+      },
+      {
+        "name": "generated-232",
+        "classification": 1,
+        "uses": 1,
+        "max_path_uses": 1,
+        "path_counts": [
+          1
+        ],
+        "escape": false,
+        "unknown": false,
+        "partial": false,
+        "malformed": false
+      },
+      {
+        "name": "generated-233",
+        "classification": 1,
+        "uses": 1,
+        "max_path_uses": 1,
+        "path_counts": [
+          1
+        ],
+        "escape": false,
+        "unknown": false,
+        "partial": false,
+        "malformed": false
+      },
+      {
+        "name": "generated-234",
+        "classification": 3,
+        "uses": 2,
+        "max_path_uses": 2,
+        "path_counts": [
+          2
+        ],
+        "escape": true,
+        "unknown": false,
+        "partial": false,
+        "malformed": false
+      },
+      {
+        "name": "generated-235",
+        "classification": 0,
+        "uses": 0,
+        "max_path_uses": 0,
+        "path_counts": [
+          0
+        ],
+        "escape": false,
+        "unknown": false,
+        "partial": false,
+        "malformed": false
+      },
+      {
+        "name": "generated-236",
+        "classification": 0,
+        "uses": 0,
+        "max_path_uses": 0,
+        "path_counts": [
+          0
+        ],
+        "escape": false,
+        "unknown": false,
+        "partial": false,
+        "malformed": false
+      },
+      {
+        "name": "generated-237",
+        "classification": 0,
+        "uses": 0,
+        "max_path_uses": 0,
+        "path_counts": [
+          0
+        ],
+        "escape": false,
+        "unknown": false,
+        "partial": false,
+        "malformed": false
+      },
+      {
+        "name": "generated-238",
+        "classification": 3,
+        "uses": 3,
+        "max_path_uses": 3,
+        "path_counts": [
+          1,
+          3
+        ],
+        "escape": true,
+        "unknown": true,
+        "partial": false,
+        "malformed": false
+      },
+      {
+        "name": "generated-239",
+        "classification": 0,
+        "uses": 0,
+        "max_path_uses": 0,
+        "path_counts": [
+          0
+        ],
+        "escape": false,
+        "unknown": false,
+        "partial": false,
+        "malformed": false
+      },
+      {
+        "name": "generated-240",
+        "classification": 0,
+        "uses": 0,
+        "max_path_uses": 0,
+        "path_counts": [
+          0
+        ],
+        "escape": false,
+        "unknown": false,
+        "partial": false,
+        "malformed": false
+      },
+      {
+        "name": "generated-241",
+        "classification": 3,
+        "uses": 1,
+        "max_path_uses": 1,
+        "path_counts": [
+          1
+        ],
+        "escape": true,
+        "unknown": true,
+        "partial": false,
+        "malformed": false
+      },
+      {
+        "name": "generated-242",
+        "classification": 0,
+        "uses": 0,
+        "max_path_uses": 0,
+        "path_counts": [
+          0
+        ],
+        "escape": false,
+        "unknown": false,
+        "partial": false,
+        "malformed": false
+      },
+      {
+        "name": "generated-243",
+        "classification": 3,
+        "uses": 2,
+        "max_path_uses": 2,
+        "path_counts": [
+          1,
+          2
+        ],
+        "escape": true,
+        "unknown": false,
+        "partial": false,
+        "malformed": false
+      },
+      {
+        "name": "generated-244",
+        "classification": 4,
+        "uses": 4,
+        "max_path_uses": 4,
+        "path_counts": [
+          1,
+          2,
+          3,
+          4
+        ],
+        "escape": false,
+        "unknown": true,
+        "partial": false,
+        "malformed": false
+      },
+      {
+        "name": "generated-245",
+        "classification": 3,
+        "uses": 3,
+        "max_path_uses": 3,
+        "path_counts": [
+          1,
+          2,
+          3
+        ],
+        "escape": true,
+        "unknown": true,
+        "partial": true,
+        "malformed": false
+      },
+      {
+        "name": "generated-246",
+        "classification": 0,
+        "uses": 0,
+        "max_path_uses": 0,
+        "path_counts": [
+          0
+        ],
+        "escape": false,
+        "unknown": false,
+        "partial": false,
+        "malformed": false
+      },
+      {
+        "name": "generated-247",
+        "classification": 4,
+        "uses": 1,
+        "max_path_uses": 1,
+        "path_counts": [
+          1
+        ],
+        "escape": false,
+        "unknown": true,
+        "partial": false,
+        "malformed": false
+      },
+      {
+        "name": "generated-248",
+        "classification": 4,
+        "uses": 3,
+        "max_path_uses": 3,
+        "path_counts": [
+          1,
+          2,
+          3
+        ],
+        "escape": false,
+        "unknown": true,
+        "partial": false,
+        "malformed": false
+      },
+      {
+        "name": "generated-249",
+        "classification": 0,
+        "uses": 0,
+        "max_path_uses": 0,
+        "path_counts": [
+          0
+        ],
+        "escape": false,
+        "unknown": false,
+        "partial": false,
+        "malformed": false
+      },
+      {
+        "name": "generated-250",
+        "classification": 4,
+        "uses": 1,
+        "max_path_uses": 1,
+        "path_counts": [
+          0,
+          1
+        ],
+        "escape": false,
+        "unknown": true,
+        "partial": false,
+        "malformed": false
+      },
+      {
+        "name": "generated-251",
+        "classification": 0,
+        "uses": 0,
+        "max_path_uses": 0,
+        "path_counts": [
+          0
+        ],
+        "escape": false,
+        "unknown": false,
+        "partial": false,
+        "malformed": false
+      },
+      {
+        "name": "generated-252",
+        "classification": 0,
+        "uses": 0,
+        "max_path_uses": 0,
+        "path_counts": [
+          0
+        ],
+        "escape": false,
+        "unknown": false,
+        "partial": false,
+        "malformed": false
+      },
+      {
+        "name": "generated-253",
+        "classification": 3,
+        "uses": 1,
+        "max_path_uses": 1,
+        "path_counts": [
+          1
+        ],
+        "escape": true,
+        "unknown": false,
+        "partial": false,
+        "malformed": false
+      },
+      {
+        "name": "generated-254",
+        "classification": 0,
+        "uses": 0,
+        "max_path_uses": 0,
+        "path_counts": [
+          0
+        ],
+        "escape": false,
+        "unknown": false,
+        "partial": false,
+        "malformed": false
+      },
+      {
+        "name": "generated-255",
+        "classification": 4,
+        "uses": 1,
+        "max_path_uses": 1,
+        "path_counts": [
+          0,
+          1
+        ],
+        "escape": false,
+        "unknown": true,
+        "partial": false,
+        "malformed": false
+      }
+    ],
+    "certificate": {
+      "arity": 3,
+      "exclusive_arguments": [
+        0,
+        1
+      ],
+      "condition_argument": 2,
+      "selector_tree_sha256": "9ec87706d9552f21c8acf5209982ff8ffd4b8c71806bcf5178eba3b53e1d8a3c",
+      "selector_bundle_sha256": "7a6afb76818196f8d67d0aae7efc14bb6e0c8fccef9785723bdcdf3128989baa",
+      "selector_source_sha256": "ae24f2f5511f00df54c22643eca2c7c627a6d754e187f35b6346ffc3f62113ca",
+      "authority": "explicit harness contract, not inferred from source names"
+    },
+    "analysis_bundle_sha256": "9faa5b14293eb7275b313c931b3de74708da3959a1ebeb238a66cf2b5475d5b2"
+  }
+}
diff --git a/bench/binding-analysis.tri b/bench/binding-analysis.tri
@@ -0,0 +1,83 @@
+-- Analysis-only prototype over trusted resolved-core nodes. NOT a rewrite pass.
+-- Input: (certified selector tree, core body under the proposed binding).
+-- Selector certificate means exactly three arguments, first two exclusive,
+-- third selector evaluated once. Caller authenticates that contract.
+!import native_math as N
+!import kernels as K
+!export *
+triage = K.triage
+head = K.head
+tail = K.tail
+choose = K.choose
+lazy = K.lazy
+or = K.either
+kind node = head node
+payload node = head (tail node)
+-- (syntactic uses, (max path uses, (under lambda, (unknown consumer,
+--   (partial selector, malformed))))). Booleans are canonical.
+summary uses paths escape unknown partial bad = t uses (t paths (t escape (t unknown (t partial bad))))
+empty = summary 0 0 t t t t
+one = summary 1 1 t t t t
+uses x = head x
+paths x = head (tail x)
+escape x = head (tail (tail x))
+unknown x = head (tail (tail (tail x)))
+partial x = head (tail (tail (tail (tail x))))
+bad x = tail (tail (tail (tail (tail x))))
+merge a b = summary (N.add (uses a) (uses b)) (N.add (paths a) (paths b))
+  (or (escape a) (escape b)) (or (unknown a) (unknown b))
+  (or (partial a) (partial b)) (or (bad a) (bad b))
+flagUnknown x isPartial = summary (uses x) (paths x) (escape x)
+  (or (unknown x) (N.gt (uses x) 0))
+  (or (partial x) (K.both isPartial (N.gt (uses x) 0))) (bad x)
+flagEscape x = summary (uses x) (paths x) (or (escape x) (N.gt (uses x) 0))
+  (unknown x) (partial x) (bad x)
+choice a b c = let flags = merge (merge a b) c in
+  summary (uses flags) (N.add (N.maximum (paths a) (paths b)) (paths c))
+    (escape flags) (unknown flags) (partial flags) (bad flags)
+-- Pure tree equality, only on finite authenticated literal trees.
+equal a b = triage (triage (t t) (_ : t) (_ _ : t) b)
+  (x : triage t (y : equal x y) (_ _ : t) b)
+  (x y : triage t (_ : t) (u v : K.both (equal x u) (equal y v)) b) a
+-- Peel a left-associated application into (head, argument list).
+peel node args = lazy
+  (_ : let ab = payload node in peel (head ab) (t (tail ab) args))
+  (_ : t node args) (N.equal (kind node) 3)
+walkArgs visit depth xs = triage empty (_ : summary 0 0 t t t (t t))
+  (a b : merge (visit depth a) (walkArgs visit depth b)) xs
+isSelector selector node = lazy (_ : equal selector (payload node)) (_ : t) (N.equal (kind node) 5)
+-- Only explicit Leaf or literal Leaf/Stem heads with exact constructor arity.
+constructorSlots node = lazy (_ : 2)
+  (_ : lazy (_ : triage 2 (_ : 1) (_ _ : 0) (payload node)) (_ : 0) (N.equal (kind node) 5))
+  (N.equal (kind node) 1)
+application visit selector depth node = let spine = peel node t in
+  let fun = head spine in let args = tail spine in let arity = K.width args in
+  let all = merge (visit depth fun) (walkArgs visit depth args) in
+  lazy
+    (_ : lazy
+      (_ : choice (visit depth (head args)) (visit depth (head (tail args)))
+        (visit depth (head (tail (tail args)))))
+      (_ : flagUnknown all (N.lt arity 3)) (N.equal arity 3))
+    (_ : lazy (_ : all) (_ : flagUnknown all t)
+      (K.both (N.gt (constructorSlots fun) 0) (N.lte arity (constructorSlots fun))))
+    (isSelector selector fun)
+analyze selector body = let rec
+  visit depth node = case kind node of
+    1 = empty
+    2 = choose one empty (N.equal (payload node) depth)
+    3 = application visit selector depth node
+    4 = flagEscape (visit (N.successor depth) (payload node))
+    5 = empty
+    6 = empty
+    7 = empty
+    8 = walkArgs visit depth (payload node)
+    _ = summary 0 0 t t t (t t)
+  in visit 0 body
+-- Diagnostic categories, not a proof that all structural observations agree:
+-- 0 unused (leave alone), 1 candidate, 2 multiple uses on a path,
+-- 3 crosses lambda, 4 unknown consumer, 5 partial selector, 6 malformed kind.
+classify x = choose 6 (choose 3 (choose 5 (choose 4
+  (choose 0 (choose 2 1 (N.gt (paths x) 1)) (N.zero (uses x)))
+  (unknown x)) (partial x)) (escape x)) (bad x)
+inspect input = let result = analyze (head input) (tail input) in t (classify result) result
+batch selector bodies = K.map (body : inspect (t selector body)) bodies
diff --git a/bench/binding-backend-results.json b/bench/binding-backend-results.json
@@ -0,0 +1,371 @@
+{
+  "stage": "source-owned-opt-in-binding-backend",
+  "accepted": false,
+  "default_changed": false,
+  "generation_pair": false,
+  "source_reports": {
+    "integration": "/tmp/tricu-binding-backend-integration/report.json",
+    "validation": "/tmp/tricu-binding-backend-validation/report.json",
+    "order_regressions": "/tmp/tricu-binding-backend-order/report.json",
+    "abstraction_regressions": "/tmp/tricu-binding-backend-abstraction/complete.json"
+  },
+  "experimental_unit_sha256": "e1e995da9669ab3f76841c84a0b812d359f7d0052451a8ae75f6df313a5d1ac1",
+  "runs": {
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+      "complete": true,
+      "accepted": false,
+      "generation_pair": false,
+      "backend": "binding-experimental",
+      "profile": "source-module.binding-experimental.v1",
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+      "accepted_compiler_sha256": "6b7b389d64af12d85b85598db69d7ff71cf3dcb991c584e17e0caec8bcb44c7b",
+      "map_sha256": "292f7401a0d78b0e80fd160dfebf1ed81e6ee066d56f810ba4bbb52824168ac7",
+      "certificate_manifest_sha256": "275f514f07fccff1267bb767e4c7e7cd17eba0fa5c9da3d21de562220bb1e7e5",
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diff --git a/bench/binding-compiler-results.json b/bench/binding-compiler-results.json
@@ -0,0 +1,24655 @@
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diff --git a/bench/binding-failure-results.json b/bench/binding-failure-results.json
@@ -0,0 +1,1991 @@
+{
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+}
diff --git a/bench/binding-stable-results.json b/bench/binding-stable-results.json
@@ -0,0 +1,11487 @@
+{
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+  "accepted": false,
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+  "source_reports": {
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+    "validation": "/tmp/tricu-binding-stable-validation/report.json",
+    "constructor_k": "/tmp/tricu-binding-stable-constructor/report.json"
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+        "source_build": "c395e37889780f8ba1b59b08710beee2146d5ae7120a640ee5327fc0c165f78e",
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+        "source_order": "e7dc0b2d0df43e36de72f083aa3c7fafe16b3374a814517b14d0086aea2ef2b7",
+        "source_compile": "4dd88a4913b4626a477271cb418eaef18bf111911d5b75948578081fdcca9a10",
+        "source_program": "57213177ab25ace960c17558c6a2cb8fa30e4b4dd7bc19542b34269b0b02b522",
+        "source_ast": "88f1f681f5910542941ab9c931b3673c2700211cab4c83eb2e4e74cbb6b18cce",
+        "base": "6cc9e2973164bba9e5a12e39c41c6f97927bba73248a70f55400f705b4cd8d23",
+        "bytes": "8c4f23e54b826449b54e5a32a0357dd9db57343eb410300c57ce89a12c284617",
+        "conversions": "e5459b1ab4f81b0777629402755bd06cda70562aceae242205d178963eb41354",
+        "source_lexer": "755a25a4ae3549d6b1e07509093d504e8b7fb61539643b595bb4409bbb072e5a",
+        "source_parser": "97de201ac5b4c0a3800d97a765a8e1d5b5e159ca3b4338eb4956ae4600e57bc7",
+        "source_core": "e02551d80ad22cbb6cc34c599b77c5c0e686109ec8a7a3f69513359a2d7ea897",
+        "source_lock": "9ab101d8fef121bd3f88b9db218b6e53fc7d9ba65f09037766f20365e26f2542",
+        "source_bundle": "dae796778a24f441d137332ae745177618cfa65d05b986800867a8b23b79c1a4",
+        "graph": "523153c5842623fd8277cb11c54ad6ef4a1f2c08e403fbafc1b40fbe10d1c109",
+        "lexer": "7e7aecbbf88604c218ff8b45bd6240a6411397eb548ed92f38b31db441493880",
+        "source_pattern": "94def0e6308663ff86efbec61e4c497ad7c9506651b61740534a84d1c5a917de",
+        "source_equations": "19d83e2a516e2b84be018c0a36463188313e0187e3579297a7a55e24fd15cdae",
+        "source_stable": "1941034b652ff9f65a934b30c8698b7c1d1d5f4a92c91190f12ca00b69b155e1",
+        "native_math": "d699cce98f8779ff3d451d1be02687182243922fa622cedf5d4f6f9fe252102a",
+        "io": "0083bc592c56361731a9febe2be209b45eb31a935fcb4b9615902c8d24c54ab7",
+        "io_storage": "5c5719c6a7bd251cf92f848e4e8a7660bfb821f603373b8102c05d725ffe408c",
+        "io_text": "f90a99fc14af1087b004e1cf4976dc89151d6915dd2bd4d192cd5e93f435ce59",
+        "source_binding_support": "c3fb6c4875e173e360b2aa7b2e19543629570b07e73b40446c8320cb329e995a",
+        "source_binding_analysis": "ee2378f9ffae7bb62ca4af85c05dcf8cffabe4ab61912cdfb24111aefd89ed22",
+        "source_binding": "e184e1f85936830ee5808e7f4b09e2460b097525ba6da7c0f3b46e114fbb207d"
+      },
+      "stages": [
+        {
+          "stage": 0,
+          "selected_compiler": "12a965c8226a2501bc4ba3d5c885104f363fc1af984304aa9c6b7e4971869e08",
+          "bundle_sha256": "819ad1c86fbf2d6f86533439217146eb9ffd37ca7f95bb278063a28f0ab5b534",
+          "seconds": 298.51767411400215,
+          "modules": {
+            "source_binding_support": {
+              "manifest": "9cc7c19f46270160e254cc704d4a7c6c31cecdd287ce528f347b139112157458",
+              "bundle_sha256": "85d0b9cbf6f3d5e9e81534ab6e0325bc7e145a7a4d87c52f3d786dd51940da7b"
+            },
+            "source_binding": {
+              "manifest": "63a040e7bd4bc3da1b1466e156d0c9762767bd71c9a44a3c37c447262c267c4e",
+              "bundle_sha256": "48a9b2f201fac5e8f98cb444905a9ff464b677abefa78f6eb8d41131ec880749"
+            },
+            "source_stable": {
+              "manifest": "47d34906362fae9bf7b296524e66f36662a4ebe8b73283d3e9103199458e17af",
+              "bundle_sha256": "3e4e86b24eedea16486a9be76ad2051149cb452ab6805970213ccd4430a2678f"
+            },
+            "source_unit": {
+              "manifest": "e819c8e35eda49ea3d71fdb8a2ff0bce18b975ad20d8c302d5a9052a14f19b30",
+              "bundle_sha256": "7732777de2df70151d135ddc23d4790a76fdcfe9820f6e15b7a3b128e81fcbf4"
+            }
+          },
+          "certificates": {
+            "choose": "9ec87706d9552f21c8acf5209982ff8ffd4b8c71806bcf5178eba3b53e1d8a3c",
+            "not": "9dad0cde222a08455e17d03746d5d3c640c317dfabe1dc66ff61b761f8dbc620"
+          },
+          "stable_lowering_and_other_exports_unchanged": true
+        },
+        {
+          "stage": 1,
+          "selected_compiler": "7713680b67158980165c274dbf5a512cc60309161ef182789d9ec0764b25f6bd",
+          "bundle_sha256": "819ad1c86fbf2d6f86533439217146eb9ffd37ca7f95bb278063a28f0ab5b534",
+          "seconds": 298.92454807201284,
+          "modules": {
+            "source_binding_support": {
+              "manifest": "9cc7c19f46270160e254cc704d4a7c6c31cecdd287ce528f347b139112157458",
+              "bundle_sha256": "85d0b9cbf6f3d5e9e81534ab6e0325bc7e145a7a4d87c52f3d786dd51940da7b",
+              "same_as_stage_0": true
+            },
+            "source_binding": {
+              "manifest": "63a040e7bd4bc3da1b1466e156d0c9762767bd71c9a44a3c37c447262c267c4e",
+              "bundle_sha256": "48a9b2f201fac5e8f98cb444905a9ff464b677abefa78f6eb8d41131ec880749",
+              "same_as_stage_0": true
+            },
+            "source_stable": {
+              "manifest": "47d34906362fae9bf7b296524e66f36662a4ebe8b73283d3e9103199458e17af",
+              "bundle_sha256": "3e4e86b24eedea16486a9be76ad2051149cb452ab6805970213ccd4430a2678f",
+              "same_as_stage_0": true
+            },
+            "source_unit": {
+              "manifest": "e819c8e35eda49ea3d71fdb8a2ff0bce18b975ad20d8c302d5a9052a14f19b30",
+              "bundle_sha256": "7732777de2df70151d135ddc23d4790a76fdcfe9820f6e15b7a3b128e81fcbf4",
+              "same_as_stage_0": true
+            }
+          },
+          "certificates": {
+            "choose": "9ec87706d9552f21c8acf5209982ff8ffd4b8c71806bcf5178eba3b53e1d8a3c",
+            "not": "9dad0cde222a08455e17d03746d5d3c640c317dfabe1dc66ff61b761f8dbc620"
+          },
+          "stable_lowering_and_other_exports_unchanged": true
+        }
+      ],
+      "exact_self_rebuild": true
+    },
+    "validation": {
+      "complete": true,
+      "accepted": false,
+      "harness_sha256": "6115143fde857f9a11940334ec58f533a88b66675e9089d107bb61ddd24c0083",
+      "integration_report_sha256": "2eaf7fd053d9d85b123f09d897e648b72719ad505b78000d1be510b1ba605170",
+      "checks": [
+        "analysis-0",
+        "analysis-24",
+        "analysis-48",
+        "analysis-72",
+        "analysis-96",
+        "analysis-120",
+        "analysis-144",
+        "analysis-168",
+        "analysis-192",
+        "analysis-216",
+        "analysis-240",
+        "analysis-264",
+        "inspect-0",
+        "inspect-24",
+        "inspect-48",
+        "inspect-72",
+        "inspect-96",
+        "inspect-120",
+        "inspect-144",
+        "inspect-168",
+        "inspect-192",
+        "inspect-216",
+        "inspect-240",
+        "inspect-264",
+        "inspect-288",
+        "inspect-312",
+        "inspect-336",
+        "inspect-360",
+        "inspect-384",
+        "inspect-408",
+        "inspect-432",
+        "inspect-456",
+        "inspect-480",
+        "inspect-504",
+        "inspect-528",
+        "inspect-552",
+        "inspect-576",
+        "inspect-600",
+        "inspect-624",
+        "inspect-648",
+        "inspect-672",
+        "inspect-696",
+        "inspect-720",
+        "inspect-744",
+        "inspect-768",
+        "inspect-792",
+        "inspect-816",
+        "inspect-840",
+        "inspect-864",
+        "inspect-888",
+        "inspect-912",
+        "inspect-936",
+        "inspect-960",
+        "inspect-984",
+        "inspect-1008",
+        "inspect-1032",
+        "inspect-1056",
+        "inspect-1080",
+        "inspect-1104",
+        "inspect-1128",
+        "inspect-1152",
+        "inspect-1176",
+        "inspect-1200",
+        "inspect-1224",
+        "inspect-1248",
+        "inspect-1272",
+        "inspect-1296",
+        "inspect-1320",
+        "inspect-1344",
+        "inspect-1368",
+        "programs"
+      ],
+      "analysis_cases": 277,
+      "binding_cases": 1385,
+      "program_cases": 18,
+      "arithmetic_exports_exact": 76,
+      "arithmetic_bundle_sha256": "deed088a0e46c78765a1b8b87f74a4544ae83c0b26a7541f833e3cacd131642e"
+    },
+    "constructor_k": {
+      "complete": true,
+      "compiler_sha256": "6b7b389d64af12d85b85598db69d7ff71cf3dcb991c584e17e0caec8bcb44c7b",
+      "harness_sha256": "9374bce99aa7358c26680ae6a03df5711d75ee4906e5c9a03c0e57cc0218a06c",
+      "oracle_sha256": "73692020958067d0feaf4523cad1bf72cf11c6d75aeb8b3715ea4e31e67a984d",
+      "runtime_sha256": "15517148463a5ee0d3d4cc26f80d2aa69807946a405237aeeb4f128fb237d5d6",
+      "commands": [
+        {
+          "argv": [
+            "/nix/store/pgcacnpm7sci6iv8z7sl3niazl49j80i-tricu-2026.10.24/bin/tricu",
+            "arboricx",
+            "import",
+            "--file",
+            "/tmp/tricu-binding-stable-constructor/native_math.arboricx",
+            "--store",
+            "/tmp/tricu-binding-stable-constructor/store",
+            "+RTS",
+            "-N1",
+            "-M4096m",
+            "-RTS"
+          ],
+          "returncode": 0,
+          "stdout": "Imported 27 root(s):\n  compare -> 25d460f10cf8893795a8a5eac6a951b40459ef90e35f6945f72c3f53868f94f5\n  equal -> 07e8af1f8ef6366cab90420cf1ec97a15b434ba4ee3966af235579a05935180e\n  lt -> 2d03ab42e2a4c9cd6f7ba21c381816f69ad0d9a68603de268e40649d9de3d680\n  lte -> a418c1e5f9d7009ced4b56f78b7362dd19737561f8569cc75a61fc2af0bec51d\n  gt -> d61ee5a7024a93abad63c481e07dbe5c397185091d495280521aaccc7cc4ffbb\n  gte -> a673430b4e67fc6e29e3ae0311fcc849cc6cc86de8012ef2a279854283001e54\n  inRange -> 62a3f72adbb9030425f0e63e43568c0eae069d7293763fab3a83123edef50aaa\n  minimum -> f515c4e49514b4631ca183a2a2dfcfce46d5ef8a8338a09496ce9a0ca2f6502c\n  maximum -> dfcf25622f229c0ae04441aae5884a38d0ba046ec512c8ac1fde56290657938b\n  zero -> 1a44df56829bf449628a829ebf2d0a02ef86babe5c2f016e0ae58ef490a0c584\n  odd -> 597f51ff9347748cc2a6ad0a824e18506d3db33151258898f8ad5c77e4aa35dd\n  even -> 1708a9a702cf609e842f230d620ff0b52502b07e6209a5124475007d23bb1333\n  successor -> 92368bcbd17e125e9320d4b6b6be1ecc192f195f73602c6587b886d0134b60d1\n  predecessor -> dadc9a9becafd4bb255bc9bd00616c49a488237b4e16ae5919ae46f590525667\n  add -> 066aebbf5d3b48d5e6c9c35b5c59e9cc5172f47d09899684475738eafb4fbe4a\n  subtract -> a5a9212b766933b7c8f07b3f98f7d9d789d0ae45e1301042da712fefa3dd0a3a\n  multiply -> 320a41f19797fbb9a05d6615b53be543b7acec4e3e535ad81c8f1e5f16db3de0\n  divMod -> 068932c208504ea9a547086ba761d6975ee3173d495b80addc056999b7fc557f\n  quotient -> bdfe626a727affba89d4c11e489eca0086f4c42facfb4ee9f248e69a47abed8a\n  remainder -> 80f8dd39e11423480ce2f5f5edde99104824bab147a88a2c331c8f643a0e6817\n  power -> 3b59e090c4ea2d7966c2bc7bf21c9ed67940c1c7a41f01f6e04db93a69ca54a1\n  decimal -> 644d54084c9734a5b58ebc7d9bb973eea48890665db1617679db9bd1c8bd68b0\n  ascii -> e0df024c0168229497859a5e770f7e36594d9d266c3933102d1fa1997d4b3225\n  digit -> eed46692dadce061198cf3cafd6c00bbc5561d9fb637706d16bde41552a1b9bd\n  letter -> ddca67e3c882ecee1239775aecf0d31b8ce136f86e6a6eea70e5d8b5979b0b30\n  lowerHex -> 3b752ef4b4b89ef102dc4c43110ee8522922dbaadf77495713fc465d9e718eb4\n  printable -> 9c88d7eaba58c0771da373821f7223c298bea7697647f03f6b1a4d922ff8a6e5\nCreated module alias native_math -> 7f87549d587fa8c3be88af0ea988db3adcc3b35f1ffb48973553491b075614db\n",
+          "stderr": ""
+        },
+        {
+          "argv": [
+            "/nix/store/pgcacnpm7sci6iv8z7sl3niazl49j80i-tricu-2026.10.24/bin/tricu",
+            "arboricx",
+            "import",
+            "--file",
+            "/tmp/tricu-binding-stable-constructor/parser.arboricx",
+            "--store",
+            "/tmp/tricu-binding-stable-constructor/store",
+            "+RTS",
+            "-N1",
+            "-M4096m",
+            "-RTS"
+          ],
+          "returncode": 0,
+          "stdout": "Imported 45 root(s):\n  parserDiagnostic -> 788973e5607ecbf8e4ff728d1b902187e8b911f5706a3bd6bb71d84c0d0a5b8e\n  parserDiagnosticCode -> 3ec371c2c643a6d27efa4037d67ee1ece8bcd2fce30e914ed8f718c09f26dd8a\n  parserDiagnosticExpected -> 110f1681320cfb98353d697325a848cb3db6e01a4ae4f2ab74e51652dfa29cde\n  parserDiagnosticFound -> 5859820da9d54f4330da2c01e58c080785ac616de44b71a684646ea43cb5499a\n  parserDiagnosticLocation -> 771633f0ea383e3ebd30fd5dbeed89d346e64ee671459e459b0837f60bd6a9d4\n  parserDiagnosticContexts -> 1e466ba88d2a68571dd1a68fad07ff8a077c4135868891d446ddba8691b71ee2\n  parserDiagnosticWithExpected -> fb12e1cb7e59eabf0dbaa087b7a6fd47eded6a2b6e35a2222d703939f6f7fded\n  parserDiagnosticWithContext -> 132bfe6e3281e7d15d2b15357263b40f4e227a36837c5bdf958f6c89be0230a0\n  parserReplyOk -> 2898705bf28cd4b1d47bf5393581b77fead153269aff2032122764743a3f6168\n  parserReplyFail -> e8f573430492ec72e9c509b63abd299708bfe6ecc1de7432de489fb41e9683f9\n  parserReplyPayload -> 110f1681320cfb98353d697325a848cb3db6e01a4ae4f2ab74e51652dfa29cde\n  parserReplyRest -> 5859820da9d54f4330da2c01e58c080785ac616de44b71a684646ea43cb5499a\n  parserReplyConsumed -> 771633f0ea383e3ebd30fd5dbeed89d346e64ee671459e459b0837f60bd6a9d4\n  parserReplyCommitted -> 1e466ba88d2a68571dd1a68fad07ff8a077c4135868891d446ddba8691b71ee2\n  parserMatchReply -> c840a77e052e867e61058cf41f4e72715ac6b3aa1da1b57360ba5e8a9c02d485\n  parserPure -> 4ca33fdd0af31227e70aef1fa0317338351ebf8b624c271e9a2ec87ce99a1f1b\n  parserFailure -> c9445e531b3b7d4921c0d86e3e7e0d67d2d13db545f14915c91030ee41ec3f8a\n  parserCommit -> 29f70bd1860b429174c2a4bf964551fca7bd7316d2a90b759975a68384b38cbe\n  parserMap -> 47bdc40fdd938c4a8dcf6338750c03edef1c1c7371a1c54f9fca437e795f686a\n  parserMergeFlags -> 6395326df796a7c47855b5c959dd1009f2fd4db423d8542377175324a805ce5d\n  parserBind -> dc7275486b8b461883a48f0b08c22d9c2e9ee37de7c115bf1309a5e6d5f75789\n  parserThen -> a9432dba87d35a6eca0c1151a50ee4303c9f060044e349486e77549920bbfb37\n  parserBefore -> fac51130d1b7a1f169cbcbc5aa882f583c5f1b1e3f6eb5a8820bcbb0269cd282\n  parserWithLexer -> c229ae2f03166ee9f9d43c8fe1afec9a90be8a0c6028e98e45f9a1e6c6b0db1b\n  parserApply -> 4f6d8b86177d05e12ee6d5f4035950c139ba19d815a4cc2282631b4e62a5a3af\n  parserOr -> 05883bcc43d06ba679ae10bc6a740fb69b5af804e273d607132abde9fdd0b735\n  parserLabel -> 77a558c8c393b7d32cde016382ca240c06b5a6c3e8af31e1e04d906e7982eeb1\n  parserContext -> 5d19e614d8ddb58481ffeb90867067893a9421a3f5fc6ae26c62c345ec26cea9\n  parserAttempt -> 96030b92b8fd4c35faf4e77293c78356e785181e65cf1b4d71668944357fcf77\n  parserUnexpectedEof -> 765723e127337c61beca9c36fa3f8aacadb40b0b086875b873ef27e6da8260c6\n  parserUnexpectedToken -> 5d32c0a07f52a352c26b1dbc518f1826cb46ee4c833e9c722630a5f64aa00d57\n  parserAny -> e7d0ae71036c31f865b19696de33b3cc8e2aa9166af458526f052acf78c02744\n  parserSatisfy -> 4c9e04d9ee7c81f2693bff7fa684588a94a5f18994fbd1163d83b8234e7e0fe5\n  parserExpect -> 1cd9f28c2994b8fffdb59d98278cc4d1ad48a69f371c3e375d00d20be01c4505\n  parserPeek -> 326acb408b9d69931df25a0465c65b77bb11418effecaec306e038d9b8e2de04\n  parserEof -> 964c5c82b8b9ca5cecb6c8495b5e4c1e42c876a1b07d41c0e0aa97172f74b81f\n  parserOptional -> 12bcfb411cb9167dedc1bab5ff8147bb180f2d65201c665f163769653f0db4dc\n  parserNonConsumingRepetition -> a373dac7a70f2ac86862e6c33b5d78551940d7335b736bd499aa728183947686\n  parserMany -> e538dae2ee8883edc767e1b0652aef98bc452ad58da60199540789e18cfe969f\n  parserSome -> ded74cf32ccd78ef8b7da85e33ebd4ef984cdc02cc9fd895ff117e1dc8c97846\n  parserTakeWhile -> 23055b3600824f3db45c6cd45a883741ce7dbdad478525e4cdca6b83e61a7ba2\n  parserTakeWhile1 -> de855916c3cf31d0021dd721acaa35eb5f644b5c112965bef9708c7639f009f1\n  parserBetween -> 2958c93c24534b1964490cdd7b64dae6402779c4bab79b50514eabc557ad8dbb\n  parserSepBy1 -> e757fa9298d5910de650ef45cb9198c0db0af29fef7df382eb9ff087f1f64a0e\n  parserSepBy -> f75b27a8b18376e9c346fb6443028fabf03b713f7b111ca4daee037b300d70af\nCreated module alias parser -> 14282088469cc420dd014700da06998f6bb8dcf990fc885a464c0a1e1858e20d\n",
+          "stderr": ""
+        },
+        {
+          "argv": [
+            "/nix/store/pgcacnpm7sci6iv8z7sl3niazl49j80i-tricu-2026.10.24/bin/tricu",
+            "arboricx",
+            "import",
+            "--file",
+            "/tmp/tricu-binding-stable-constructor/prelude.arboricx",
+            "--store",
+            "/tmp/tricu-binding-stable-constructor/store",
+            "+RTS",
+            "-N1",
+            "-M4096m",
+            "-RTS"
+          ],
+          "returncode": 0,
+          "stdout": "Imported 164 root(s):\n  false -> 6f93378feaa8bf5ab7cefc071175a654c871bfd53f165d7d96795fb2b38483f1\n  _ -> 6f93378feaa8bf5ab7cefc071175a654c871bfd53f165d7d96795fb2b38483f1\n  true -> 2177bae1081d12a6f888b5efc89a27616aaf6e5df019f156a0f3d4c2d14bb270\n  id -> 15f13aeab5531e917cb30154730ad17db4f423c0b92784be7fa1817cb4be2287\n  const -> c77cf428a6fda9f6d681a1dd832f02118c43fd945fc71542ce78eaadc623b763\n  pair -> 6f93378feaa8bf5ab7cefc071175a654c871bfd53f165d7d96795fb2b38483f1\n  if -> 56fd7fec37e6713635947456e96f6dc61836bb46849ee931ec3c857c6903e7bc\n  y -> 6acb841649e0e188532ad5cf9d6fe75231980a319252cfa87951018ef683a915\n  compose -> d7c1fcd7ffdb874370f9a04b7f85daa04789db51e1a169db71bcdf3cc1d92844\n  triage -> 3b89c8b2218cd7c9969398c48c0becc6671ab0ab5c456dcf575109b2bae0d28d\n  test -> 606b5a4981f6012fb36c83ccad2f44f6d8f43c5fe1cb007427aa9ec17e0d6e7e\n  matchBool -> 5e75e2eba9d9f1465e75b35d5f2c974e02da8609c384965533123cf159c8afa1\n  lAnd -> 48b77e121652f7372961bcff04a0a1eaeb6ba2b524b5df9e9b236045783e9104\n  lOr -> fda8282b06b0ad4a2989987184cdd2b1e3d81a9355d431c467606f0431e52392\n  matchPair -> f6190e6a6483238cde28df9e47e3e9a0679cc1416e8e21cc7537a147dcad9f9a\n  fst -> 8e0725282a61d8f9b877514b91d73dc35986fe428eb643023ab94d3c080410f5\n  snd -> 5485573a58b48584b5587240f43f834ac1a3938cd2305e11a3912a16f6ad664f\n  not? -> 314affa8a7250aa5cb4cf00e35449676ae3a18cacd6478026c3e01131fe74b21\n  and? -> 48b77e121652f7372961bcff04a0a1eaeb6ba2b524b5df9e9b236045783e9104\n  or? -> 5e0f47dad5ddf5868a3f49bd764af78eabbbb5ea3cf11c102c859accab2b844b\n  xor? -> f4395e0930bc2fe8175de5dc7086dc09bc0e6bc31bb6d69c160a0f726cdf4c4c\n  equal? -> 2beb6faf5804bb74130d24e431756623c25b838278f6f13a3f326b2f0dee1eed\n  succ -> 92368bcbd17e125e9320d4b6b6be1ecc192f195f73602c6587b886d0134b60d1\n  ok -> fa6c79b65290f4a9df00d6597094d9bed71250d54eb58c2fb339427680ad965b\n  err -> d0fb36bc3d029d4f307101c457452b2fada5e71835dbb5277b48b057afd180c1\n  matchResult -> 7a8f2434be8829fb8828f3f025e7144191031d471cebddb6d2dc8e5efcde8e7a\n  resultIsOk -> c95b951a6b2651c742f1b61b2c7ee423dfc44134b39bff184d7d5f98b522336b\n  resultIsErr -> 41c525d70056bae0a40f54608f072b56ecd93057a5d6d560c67ebd68f7fa49ef\n  nothing -> 6f93378feaa8bf5ab7cefc071175a654c871bfd53f165d7d96795fb2b38483f1\n  just -> 6740c23886cedc8d876db8c2f3a4e8c2e647bc4b0806552f9b47c1fb2fa5d4e4\n  matchMaybe -> 0e50413f7b90700b0f52fd794e87f99938eff9f7bbda61ee1382d3f29bb2a5df\n  maybe -> 5558ad99e8503199405c47a7742433cec680d7f83ccf203be03e5c8491349bcd\n  maybeMap -> 0e934bb03bcad87fdb9cbd7a3fe10e6b9813170523661d3cc0fb779c237089df\n  maybeBind -> fd8db402e6b4565646ea18b5cf99d99b860de9e2c68ef4736c113226a16e1dce\n  maybeOr -> 379313856ec98dee847b54d994cb8a5a439457e9521d2469ca553b0fbe883dcf\n  maybe? -> 7d04abf2f877095c0f7c1a23968687b611965a9c810eea9715754567d7905f2b\n  lazyBool -> 1aea8441c7da5880c46c0cda4e67f5fe26031168affa6ed41a3e959f780921fa\n  lazyList -> d1e600fe518c4f2ff1814c6cac186ed8ce6674ded700755129c3df0c685cb89d\n  lazyMaybe -> 0450f8cc043deb7651af752148d3490300f78e124555cc33e0e409fca32ba000\n  lazyResult -> ca3675c3587d3ac79b7b1067912388aa5353c7a2b7fe5258cc5535914a0b49f5\n  ifLazy -> 50cf419adcba80f9ca2baf6fe82195845e6dc3f06ffa28743d006d47f3820273\n  andLazy? -> f782153bf621d20287c255f8bfdeacf126973875983e461d05ea9c3e0968639b\n  pred_ -> dadc9a9becafd4bb255bc9bd00616c49a488237b4e16ae5919ae46f590525667\n  isZero_? -> 1a44df56829bf449628a829ebf2d0a02ef86babe5c2f016e0ae58ef490a0c584\n  lte_? -> a418c1e5f9d7009ced4b56f78b7362dd19737561f8569cc75a61fc2af0bec51d\n  gte_? -> a673430b4e67fc6e29e3ae0311fcc849cc6cc86de8012ef2a279854283001e54\n  lt_? -> 2d03ab42e2a4c9cd6f7ba21c381816f69ad0d9a68603de268e40649d9de3d680\n  gt_? -> d61ee5a7024a93abad63c481e07dbe5c397185091d495280521aaccc7cc4ffbb\n  even? -> 1708a9a702cf609e842f230d620ff0b52502b07e6209a5124475007d23bb1333\n  odd? -> 597f51ff9347748cc2a6ad0a824e18506d3db33151258898f8ad5c77e4aa35dd\n  mapResult -> 175ce29ff0cdf8a18f1a40ba4e5555153bfe7c6681acf267b4eff617fcb542b2\n  bindResult -> 3d7c08240f2b7614d86e0e58b758b21f10ca1291d1a2c32128ecba8ca50499bf\n  resultOr -> e0eadaf43ed5b408817338534b30d5adbdf027b54597b9198717ebc1d5c4972b\n  resultMapErr -> 090a773457482c6d03b9d56d9a660da1d868992875b6336f0aebb5a20d009a0b\n  matchList -> 732ece1c0328060122cefceb8ecfd6afd3890ecc04554c87750887ddb2bef5b4\n  emptyList? -> 1535dec8df207e8884288469857d96d658b6f31ae36723de6297cd73aab9cfb5\n  append -> af7e2569d0d16378cddc57f9f5ba894fb0b8c4d82edf2e9555c21e61c8c96ec8\n  lExist? -> c55b80e7759ab0057ccdc676542098b9fdbe58ab7cd7bee326b41c9d5931e8d3\n  map -> 082c832efccd01a00168483bacc71219c005b7f532886e467d1f93a128277045\n  filter -> 2ea4a2cc9ccba98902dfe74c2e1fa2b5fec4fa498764bcb86b3b01e4fdb8667b\n  foldl -> 87493caa0e52e0804336420e35e3ea46e4a218670c2281e9eb4f5eec2662fb9f\n  foldr -> 60bbb01b68c96a16c87080eb42ee2ea9f5ed0d2a9c8062484ae5a39de90abb46\n  reverse -> 294aced922e4cb2c7227030e71525ee239d8ed903a6119854f0fdf81f30392bd\n  snoc -> 0b2f28544fa3f4254b3125cc9952da1310347ea9e4c6a09425f9784fe373a8f6\n  count -> d8c6cd695fb4009edd23fb89ae5ca53c243e0183e7bab8e1a390d84fa30de888\n  all? -> c46b6fdec24bce9449dbf5bb3882416c5e239b36a287729da036b9106b37e206\n  any? -> ff534aec0900bb624bb2030fae41599417276fe55856c0e773974731c0b76c3b\n  intersect -> c189099dc322035613393dda0057e726e45c25b96819b6d16c089011fb007623\n  nth -> 1a5dad6fef788e6ed689ef24db90154c9d430e00b0ea99dab9042f49244eb9a1\n  headMaybe -> f361620ac2ef0c1b51d3937b13936ada3f13290fefdc7afea94303e351ea5c11\n  lastMaybe -> 0f75b672c7bf1a24a7f80f1875960b0c9c974f64a45f0f374772073ec9ba5a2d\n  nthMaybe -> a0c61edd95a2cc32f1c7f1a8e0a09f15f472331776cab2d4cf7181250435f987\n  take -> 44190ff3c4dfd15c925c49c69b47ac2748da883bace8892a6de4b0d719e28e82\n  drop -> 6cebcd1d65a7d48f7ca668efbbfe8441d2009b2dc746f6906a1318b0b18a7b51\n  splitAt -> 80ce2ea1592bba157f3743317b141184c7a230e9777731501daf7c778b09f6b7\n  concatMap -> f0d8f0479fbeebae6dcb7109829fb7bef8e7e248449d4411a442b825c4d99d31\n  find -> fa462cf1cf2580b1f98ef7cfedacb258235629551f46d941c38f8ce72b4d6784\n  partition -> 8417ca2bbe923600c8c2906bcbd693062c1aacc2f41c657e3de8411ebb7e519d\n  strAppend -> af7e2569d0d16378cddc57f9f5ba894fb0b8c4d82edf2e9555c21e61c8c96ec8\n  strEq? -> 2beb6faf5804bb74130d24e431756623c25b838278f6f13a3f326b2f0dee1eed\n  strEmpty? -> 1535dec8df207e8884288469857d96d658b6f31ae36723de6297cd73aab9cfb5\n  startsWith? -> 8154aaec33323a1911f200bd6f18f3f700d248145a770678f420041ebb7458b6\n  endsWith? -> d3f3f02ecfb3efddaa83cd7a5c1730a54d36aebeb23a1dee4c869330c59c7c14\n  contains? -> 4b3d77ee01b1740995b5ac3508c2444dfac980225631885f5506876f3d01bea7\n  takeWhile -> 04a2117886debee771a2c8344ea1174fe618b41160728c84bf3e74040021f95f\n  dropWhile -> 255564d18a37081098d43a3e24ce73c30a02d67deb269aeb42213fced8438edd\n  spaceByte? -> 4c3943f0808305e9165947bc4ce126bf61e3a2f65cd94aea0475bfabc069704d\n  tabByte? -> f8942b545e756e54a7a3aa393cd6232a1143516ef46dce62fad08d27b045b16a\n  trimByte? -> 3a1c12dbaa34c6f3c7e13a48a7a046043c841797ff974133bd3bdea8350b103f\n  trim -> 3f23fcadd5d84bddd3eb54b8756fafcef77023ce5a10684c507eaaeb871f46c6\n  intercalate -> b1d8123f5bcc86cdc0818f00d187b0b29d8668f3183f8e5f793914cce66e2638\n  joinSuffix -> e807557c402969756b74b403213ece91c331c35fd53827a253e70676ace8868d\n  splitOnByte -> 702d2ba65cbd69194ca367e506e432c3017d92b91511f5e1088703020cb7e7ce\n  lines -> 3844c06c6e848fca0d46d4caf14f44bd4acbcc4df09c482b24a86203053951d9\n  unlines -> 6b9789f51d26de29e035cea374fe83964fb239dbf21e7857765355b8a9b7327d\n  words -> 3dc82e5d664a329d45c7bff3386c07a0f57129492ed9b8e508dce91d47b2bf87\n  unwords -> ef3ed37b582f3ca7bc5777b74db051fff36a6c5b189591554ec8ca73c1b7385c\n  zipWith -> ad688f802432c721b66429d5283e04f069e1cda24765d3ed8e59ff7b9fbbaac3\n  contractOk -> c4c69ce83e64c58241c5bbbc64b40dbbf6b5bb12b98e3658e50d59440c63f8ec\n  contractErr -> f2129dc0488f6fdb7a8058d1fbddcb156e4e4a7e605df259ac3479835e8ad4d2\n  defaultKernel -> 2a17cf6f10c57c0f2e0f59dee7e51344594828ca40e557d5ee36e1710efed76e\n  kernel -> 2a17cf6f10c57c0f2e0f59dee7e51344594828ca40e557d5ee36e1710efed76e\n  skipKernel -> 5a8b867eeefe887b4c4dca6b40e3702bda3665351d0f31ab52f195ec414a3dd7\n  withContract -> 1274c9607e6eb9aa00b4b42dd3417d91df32965516ad2b92cd3e0bf25470a4fc\n  check -> 827969ea5ab9f6a2ab6a933210a5ef5b50d070dfb985fa39d6794ea9c740f543\n  checkContract -> b986eecc4c4cc286b1e3b6b0e189516d40a3ce8b47da2a93947b410f8bb9dd46\n  anyC -> c0b097165a685c247bdbcb2af86e4a3fd944af2de922d0e50ad3d68dfeafe91e\n  neverC -> dc33f335150d76666dad1ffb42069e755c7349335c74e084560f8ab8d7df8312\n  guardC -> 739640012722834b0924d0b59113650f3c7141beee210319e925ec7280c4ec9a\n  isNat? -> 3a182e143ae7e85a110ecb55cac644c431cf0cce55a47be3adf1e95511c18371\n  nat? -> 514b65256d4fee60b2da10376b4e342a3d81531ad2dd3c8fe835ac6dbcb2451e\n  pred -> bc4a23ca65baf447a94846d4f0e6695c44a58fb9efd7829b86928bb9a1403339\n  add -> 0d37bef7fa64465b14df915cc6623aea5318f470f7589f812006a15483997dcd\n  sub -> 45a0213bb312523bc1d50248a519c1272b7079935aa4ec23fd602a271d572dc6\n  mul -> 8591573db2e8c65db0ef4ca41fdf8d11960e9558582347b1d32fb07deb390490\n  pow -> e3e69ef1b27695609fa88ceca4fe26c7e638044707d2f4dfbfedff103a2efef5\n  min -> 4d4209d0f31f39891f31836b8d14e1ddb6b438920c32454c8cc79940f474541a\n  max -> 7a13356de2d4a64e87b9c7a25f87e74c340c917cf5beb348a6a6e274cdc07e72\n  nonZero? -> 12ffae613b6629b94eb2016e9bb3af8b37a169fd770a21b0da5ed10e73bf5434\n  div -> 643ba7b3b56a10eb65bc0c160310e2176315943c893c3efc33bc0698540f2989\n  mod -> c2f3de03c1391dfc1b29361ccb3bbeafbead3e014bd3ddc92aa421ca088cf1fa\n  bool? -> 36258eeb3bd1c18cd9f37cb6bb6ac47a7db7dde814924ef958c18a3e4896ae6e\n  isZero? -> cf23e7ad9a127b346042759b69903a5fd2bc303b86135ea82c4cc0bf85b064b8\n  lte? -> 3b59f80c7090f1b09b44af18101bd0b1b1026633e6a2b0b47190a2e34d5d2d46\n  gte? -> 84b0a8aa0082bd2f8e58e23a7977be2f255ca454e09ec248cf92be701a6b9c4b\n  lt? -> 4d5a4946b5360b6eb643e2c7da8b4a89d4fa4a52d1dc3ca8801e22b2a2942b4f\n  gt? -> f46061605057938810eec0be9756811d5c1bc1a782ef928a3ffe0a3615e25a89\n  andC -> 8aa9aee5f5e2f08021b211d29132efb043963cfb0487f5c8c69103370e979e5b\n  orC -> f56acbbf14935e6df671dad2b245e63483300f3d3c849c3c6dde941907f02468\n  notC -> afb1ce3407b598f896bfdddbc467c324344c2332ce4fd9ba1602c5c851c9e22a\n  mapC -> a860f2ba4b79dbe956669c35990c66901569429bb28b9ae2e05626f9b927992d\n  bindC -> d44f97555a129a972b179c076650012146ebb0e5d59dfe5434abc36db653ccbc\n  listOf -> 30a2ae02fefbaea305c0cc0c3fc27bcf990646a84fdc4b9ef5b9baeb4910795b\n  length -> 09bdc981bfcd9a6670eed0316ad74e6d1e481e9e00cc3d9611531d18f20d80d3\n  strLength -> 09bdc981bfcd9a6670eed0316ad74e6d1e481e9e00cc3d9611531d18f20d80d3\n  sum -> df430514e1597443431fdc1d05c57121adb31535a51918d2edd2db837fd79059\n  product -> 16c840a4a96bb12b09965228e7ae88a3e637de6c61141fbdda1c547859f5ef94\n  nonEmptyListOf -> a29da91362b02c103a110ee0d13fb68e3f7098fd0f8e8acc087d5c22847efd3e\n  head -> c61f49e4694b60e4aa2f6b4e8ea5d9c755757457c2fc44d0b9df20a99f35266f\n  tail -> 22f8facc5634fbd3c17bb25a81d877775a2ac2ede712a69fa55ee3bd28b0e17d\n  last -> effd2a893e07adcb08f6edf9ff96831fdf6e627e21a055bc0dab0a78c4a73b2c\n  pairOf -> 629aeb46d96462cdc2b1ac48812f9927ca19a1462e9a0ad25b4ee2f61c8258fa\n  divMod -> 6b74a1f790d3e9ce7d1c54dd82a4fc792a2d52e86883dad0e5d152c7e5f4b65f\n  fnContract -> 16eb50982faf0053febf8efaec1c0fdfaab2b255c149bee87e4e72002079d929\n  fn2 -> 2ccaacba76d909179969a143fe8175309db4ac415ff5c3a4bbebbcde72ca3dc6\n  pureE -> c77cf428a6fda9f6d681a1dd832f02118c43fd945fc71542ce78eaadc623b763\n  bindE -> f5690c082a04bedc787f9d485458c06dff2238d24a0fe925d287d343d8c51b91\n  exceptE -> ef43908cd91977ac2086ffed30745bbc5d7a4bc5f6e36fcf4ec74237c4346b8c\n  pureM -> c77cf428a6fda9f6d681a1dd832f02118c43fd945fc71542ce78eaadc623b763\n  bindM -> f5690c082a04bedc787f9d485458c06dff2238d24a0fe925d287d343d8c51b91\n  checkM -> 6d08e8c9c83672d1e932759aaa2a759b6b5a52f9d18c22a841c75e2fa4cfe2e5\n  liftM -> 5a6509acc0b3de69063e9eac30282e318756f3d654d1912f5743d0cd08609466\n  runM -> 9ea77563202903b50dd175e9c49b35f9f57bbc2b51e94c3dcf83a63b2fe7088b\n  handleM -> 5c1898c35defbbd28fb734362e84cc58758478e9b2167b576226f1d2e13a2017\n  bytesNil? -> 1535dec8df207e8884288469857d96d658b6f31ae36723de6297cd73aab9cfb5\n  bytesHead -> f361620ac2ef0c1b51d3937b13936ada3f13290fefdc7afea94303e351ea5c11\n  bytesTail -> e7847aa2818295d37d9127731bbd621adb01050ec4715eaa7ec6a7969959a5b6\n  bytesLength -> 09bdc981bfcd9a6670eed0316ad74e6d1e481e9e00cc3d9611531d18f20d80d3\n  bytesAppend -> af7e2569d0d16378cddc57f9f5ba894fb0b8c4d82edf2e9555c21e61c8c96ec8\n  bytesTake -> 44190ff3c4dfd15c925c49c69b47ac2748da883bace8892a6de4b0d719e28e82\n  bytesDrop -> 6cebcd1d65a7d48f7ca668efbbfe8441d2009b2dc746f6906a1318b0b18a7b51\n  bytesSplitAt -> 80ce2ea1592bba157f3743317b141184c7a230e9777731501daf7c778b09f6b7\n  bytesEq? -> 2beb6faf5804bb74130d24e431756623c25b838278f6f13a3f326b2f0dee1eed\n  showNumber -> 86d5ac9b3f3bb31505178e1210d130174f88b47dce3736731ca15f0b482d3787\nCreated module alias prelude -> 6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823\n",
+          "stderr": ""
+        },
+        {
+          "argv": [
+            "/nix/store/pgcacnpm7sci6iv8z7sl3niazl49j80i-tricu-2026.10.24/bin/tricu",
+            "arboricx",
+            "import",
+            "--file",
+            "/tmp/tricu-binding-stable-constructor/source_ast.arboricx",
+            "--store",
+            "/tmp/tricu-binding-stable-constructor/store",
+            "+RTS",
+            "-N1",
+            "-M4096m",
+            "-RTS"
+          ],
+          "returncode": 0,
+          "stdout": "Imported 50 root(s):\n  sourceAstNode -> d8e9d65f71d83f16f6faf7fcda50d14f6b922918ff94d379278d4c6a4c3fafc3\n  sourceAstKind -> 3ec371c2c643a6d27efa4037d67ee1ece8bcd2fce30e914ed8f718c09f26dd8a\n  sourceAstPayload -> 110f1681320cfb98353d697325a848cb3db6e01a4ae4f2ab74e51652dfa29cde\n  sourceAstStart -> 5859820da9d54f4330da2c01e58c080785ac616de44b71a684646ea43cb5499a\n  sourceAstEnd -> 17b19069ef5d015ab86624aa4af36fbafb8fad26952bcc7333ff262ae1a30f32\n  sourceAstLeafKind -> 1190521ada412b467553aaf0cc540667821741d8bde7c0343b46d309e7f83ab1\n  sourceAstNameKind -> 68e06c01f7444d85875f2ac7e2dced23ae13ac023f33878e42d836cce85f67ee\n  sourceAstApplyKind -> 085c5b836e9a8a5ebcfa852bda07e83727866c8f6e50e05bdd73194453130666\n  sourceAstLambdaKind -> b2e66bb188294cb57ae67cdd418be3484303e91289a163c98318c92d8174fa68\n  sourceAstGroupKind -> 7c3d441c44495695f6a7d8b2908089028cf9ec6a8804c893a4163836730e8bdd\n  sourceAstNumberKind -> 6190591b68c768f262d22f9118c2682c5529de6c8ef21255efc2f900f586717a\n  sourceAstStringKind -> d69fed5ea86c1fba0f5e6787d0bf8718ada5a29f4fbc8ac20b30e322fe951f31\n  sourceAstListKind -> a98596a26fc109ff4ff6f59c6c2b839b16c797a41b352975fd525a6b3758479c\n  sourceAstLetKind -> 80baacb1cc2507907734ea3c45f57e89843c5e119ad9c815310c1e048231e85c\n  sourceAstPipeKind -> 338d6861d852982ee65c05f30c4968613c94bea0d582dc34d8b39d4caf1ca8c9\n  sourceAstDoKind -> a4bf5e2a834ab290178744a38850490fa3e3d9325b79026e8408ac5a99b377e5\n  sourceAstEquationsKind -> 6ace7d4b773d8df0a1fe8a22442d4fe8a7459679e2e34b4b2fcb615404099b46\n  sourceAstPatternKind -> acd4c2e5c5d552f78444466cb5ff95203208a4065cc0707f6c6f3328d579671b\n  sourceAstCaseKind -> 9d2f4aa5934c54daddd3ff44184d7377925873bf137f1fe39a998daf24a2a6fb\n  sourceAstRecKind -> d0d7d646c2c4969899ffac4a91a33e95d81ea1b3aa6656fe56e79e120b9544c2\n  sourceAstCaseSubject -> a1333c4e083766fc5aa4d8e2bcdfafbd85bb82b164b1044f216ade422dac6db0\n  sourceAstCaseMatcher -> 068f2f8059e68438480ee03f42936ba0d52bd3acbde637b3ef47d71e9dc579c9\n  sourceAstRecursive -> 5ee08aff01ad899e824edc6ada9b0523620a1e14b2939a5861e39ed6d0762730\n  sourceAstFunction? -> 067b4f64e768ad52c8215b65a819ba59b5a759c24681283fa2893b64f63e0acb\n  sourceAstEquations -> 9446b3d745a83954aeb841147a6ebdcf20e73c67fc68b00689b38c92248af67e\n  sourceAstCase -> 05abd4e385dde788934a5ca031994d171042eabb9d232a7838a5f61c40786bc5\n  sourceAstDoOperator -> a1333c4e083766fc5aa4d8e2bcdfafbd85bb82b164b1044f216ade422dac6db0\n  sourceAstDoStatements -> 068f2f8059e68438480ee03f42936ba0d52bd3acbde637b3ef47d71e9dc579c9\n  sourceAstDoStatementBinder -> 3ec371c2c643a6d27efa4037d67ee1ece8bcd2fce30e914ed8f718c09f26dd8a\n  sourceAstDoStatementValue -> 3856245390ebe3c7d20664ab4c7cdac32218f1d4bfedb398d75831362a7ead51\n  sourceAstPipeDirection -> a1333c4e083766fc5aa4d8e2bcdfafbd85bb82b164b1044f216ade422dac6db0\n  sourceAstPipeLeft -> f087e42b4f5415a1cd732255fc9fd2cf31df4c08af31ac0d732f50d1462cf558\n  sourceAstPipeRight -> 957724b62ef6d0c27d567e808b84b165e0472dcbe59889e758df43beb4ee4f79\n  sourceAstLetName -> 1c30acb77a47dbc508c29bc223de503694cf259b21eb7d1dcb87adf53626bd19\n  sourceAstLetValue -> f087e42b4f5415a1cd732255fc9fd2cf31df4c08af31ac0d732f50d1462cf558\n  sourceAstLetBody -> 957724b62ef6d0c27d567e808b84b165e0472dcbe59889e758df43beb4ee4f79\n  sourceAstLeaf -> 2461548e83724e9f162fbaa32fb53ee38dc0065ff31374ebcd37024e52bff54c\n  sourceAstName -> b55a46e37b637e69802b613d17a0010567aadf9178d0ec0b6c252afa3f4f3284\n  sourceAstNumber -> 1a1bb2ffbec3238aa95b0ecfa145dde1bbbbdddfe429233401cbef02ea8b63e5\n  sourceAstString -> a40751435e36eef25e3ab755803a6cc277d609402805921fe3416be67b03de43\n  sourceAstList -> 58327aacc5e7e8a2cb5df2f27e55c8334cc28db139cd4a44b7e111b8841779e8\n  sourceAstApply -> cdc108428d2b9c95169b1f530fd93348df79856182c617485de02b032096377d\n  sourceAstPipe -> 3f3a49f6139017048bdb52fdfefdae55a22b011d885697595709a12fb26763c4\n  sourceAstLambda -> 54e58e332c888ad4554fce7aa8d78dbc6ad3e6712e8f23bc0e9538d5b325476c\n  sourceAstGroup -> 031e816c1be3ea229715c61618f744c5d9c8fe52d5f1e89fa66e80b432705524\n  sourceAstLocal -> 72611b85d9c4e47af1c822180b87a0f8a8a9b854463d0eccb2f0b80d5a597706\n  sourceAstDo -> 960a9e19e7a99853af5916832d007921d3bc7d7c3b4ef6e01c6c1ee1a879792e\n  sourceAstDoIgnored -> b7db3117770c124edb2638e70c56ab1d1403148672f02db5bf26dd500e025884\n  sourceAstDoBinderToken -> 0007d0175613a99dcf73b321f435c506af6408e4f5a1d83b990736b9a92246cf\n  sourceAstDoLower -> 38bcd10123f5ff59eae772935f2547bee18e36b0e055becb25ea17e1a9553171\nCreated module alias source_ast -> c6579f89e47a16694f1c08fe9825b183d8bc272e23cd744eb954c106b689c32f\n",
+          "stderr": ""
+        },
+        {
+          "argv": [
+            "/nix/store/pgcacnpm7sci6iv8z7sl3niazl49j80i-tricu-2026.10.24/bin/tricu",
+            "arboricx",
+            "import",
+            "--file",
+            "/tmp/tricu-binding-stable-constructor/source_compile.arboricx",
+            "--store",
+            "/tmp/tricu-binding-stable-constructor/store",
+            "+RTS",
+            "-N1",
+            "-M4096m",
+            "-RTS"
+          ],
+          "returncode": 0,
+          "stdout": "Imported 60 root(s):\n  sourceTermNode -> 4b1f2b11e90b11bcfc522deeae834f7dda74256eb49351ca425110831156a186\n  sourceTermKind -> 3ec371c2c643a6d27efa4037d67ee1ece8bcd2fce30e914ed8f718c09f26dd8a\n  sourceTermPayload -> 110f1681320cfb98353d697325a848cb3db6e01a4ae4f2ab74e51652dfa29cde\n  sourceTermLocation -> bb1a1c00e6fa0802fba896aae5b63e6ef7149eb00d81dbe14f2deeb84bb009a7\n  sourceTermLiteral -> 9a134949176756ce1478534cb7d0e70beb721e2718d148e13f84867edd5fcfaa\n  sourceTermVariable -> 7f913636954bcbf99b6a1023a5589664fa356dbe041fab9485950fdc1b4452a6\n  sourceTermApply -> 029ee1f9c07b7b9519e95381bdf96c2c91c2d760c13a87573f22792badff7374\n  sourceTermInvalid -> 58b028a6c1016670242f8c36498f6545c824ce7acb6b5137a9908175c9901418\n  sourceCombS -> 9013b71418248b7c00716505d717226e575e84c8abd0c1e7b675c4c8b88459b1\n  sourceCombK -> 2177bae1081d12a6f888b5efc89a27616aaf6e5df019f156a0f3d4c2d14bb270\n  sourceCombI -> 15f13aeab5531e917cb30154730ad17db4f423c0b92784be7fa1817cb4be2287\n  sourceCombB -> e998485db2b17441c923efbdbaa380629522d91316a5dd74081822c3db8201e4\n  sourceCombC -> 16102ae548948d41c47e3759a92b50bd27576c7d9c2f81a6c1174d84d56db9ba\n  sourceCombT -> 92fa182ab5b273c9a2e100f3655eedd3921ab94c4fd5c71080642256770ec0a0\n  sourceCombR -> 3b6490445c7dd944f6b0f4bb58e819e877a30404a7a4d3c683f01d88f7e6c986\n  sourceBracket_ -> 806f30ac43a0242b56b7a5038d726a8de7a95224dd2a493f1680fad33af258d7\n  sourceBracketReference -> fe0bd1158c024a535ac9c3abec1e711891dc4556b40f29ace6d0822c6a7e7091\n  sourceContainsBinder_ -> 65cb2844dd059c2b0942e19c42f6430f72d2f7fc6aa9e39ca32fa78a5bddb5f5\n  sourceContainsBinder -> 2bd8495f2b6d113ccf1567afe462372d9b48b41a860b37b97705ab6533973c44\n  sourceLower_ -> 2da1eded06f6b24aaa629fc01512a5c8489c4105fbdba7297408f2a472a166ad\n  sourceLower -> fcb87c9082f4e1f07d2ef06f51d1ac3d9d74c4372f6dcc9bfc9808fe799b16fe\n  sourceBracketRightConstant -> 73843e38e891f76c1b113a1510e74d3dc142f960dcf25344aa59347abdadfbc2\n  sourceBracketDependentApp -> 0e285cae8c05bb9ec8d5907902c77fe3ec61251c8cd4cf16236b3e44d5f360b2\n  sourceBracketOptimized_ -> 7ad937ae09e99ad7d2548ad0b0ac0200411b5369a525398048af42fa898b2e74\n  sourceBracket -> baa59dce7de8c9319c4c070e4669b0d9f2965ecfafbbc3757c1737a50c20e3c2\n  sourceBracketEtaApp -> 623623f582a155cd876a76372739a78c8d0d6d162365410ef41e0193b9402fb0\n  sourceBracketEta_ -> 3e5805bd6fc4e0e575ec167a531013144bc55be22f8b2be0b3aa43ea81f9ee55\n  sourceBracketEta -> 3a5e2e190357ecf16d7865b41defbb60d0a5f701b69f78b3c661281ddbf59de2\n  sourceEliminateList -> f83a6d3ce89a8edb86bff18d1436ade8ce8198303b663f5a7970c3855816194c\n  sourceEliminate_ -> d07f4b04d554398393a8102028e3a9101540514d2a3689d0718a15fce9790b4b\n  sourceEliminate -> 6d8a42251f11615dd44965b532a58fcfdd1c67e560b5d6da63a2e09696db6c74\n  sourceEliminateEta_ -> 64f03337158016bc2048b57a341c5053977ae57e50db346fff6f80eb5d70163b\n  sourceEliminateEta -> 2d2a74a692d704aef1b22a7f7b7bf0319817ba20f0be9ea5d57bf7bfe9dae370\n  sourceKFlags_ -> 78090274e65936710e3a8d293d5d714a8b829db392855fb7813fb461db9f4873\n  sourceKFlags -> 2f64f47d8acd45bb92a9a2c8b9f838f47be5cbd10ac429fecf14144de95c32c7\n  sourceKTermLiteral? -> 30336dc0ea40104a8348a681a4e1ffcca50541a82c5a06757c84f776b216d4c1\n  sourceKTermIdentityLeft? -> ffb10c241dbff1e9b52c49baa59ade9ca6dfdc06ad36cefd0021d0b88f7161e1\n  sourceKTermIdentity? -> 9093a47ed76a2c43e595d0ec50a878f4c8aff6d52f2cfda0f186e98340542bf4\n  sourceKIsIdentity -> ff0e147fa12002c5d4105146c70bf7949aaa4c6e3054d14336a57de60548396d\n  sourceKHash_ -> baeb12f689bb95b271bffcadf1f9d2cbe8f61f75a63d1b1e8b87a33a905a69c4\n  sourceKHash -> aa6c74f4a90c042991866d4c8ba42d4b685d3d288e4b83fe83414c3948a8a5d4\n  sourceKApply -> e3ac9138be7a6500db0490c8f15c7fd610362bfb4e648405ca5abfd8d78bc0b0\n  sourceKBoundUses_ -> cefb21f7bb5c55b35411ba86f65254383ccda7db0d2497c792d9b8e526e6d55c\n  sourceKBoundUses -> 21998ebe4374ac5a949d1242d592eee90fa3990ad3fb3f492836af45bd7881ff\n  sourceKWeaken_ -> c563dada1fc0c9590063f33409fb77a4b0ae1b776cc4143d87bf521d16e2b276\n  sourceKWeaken -> 188c342a9b1a212b951706fc756531e615ae44729573279678a546734aca8ad9\n  sourceKAbstract -> f12e7587d6392ef6ba0e8980359c0a50b44375b16849d44fcd0a131bb3600294\n  sourceKList_ -> eefdd6937d8e03e6603988bca4d34d9b9cf0fffab000a8400d1a6a4a6a03b564\n  sourceKList -> 882282e1bbffcb3a37ebf69a1b8e02b143eb7f76c58e4ab37386c596f05fe2c4\n  sourceKConvertApp -> 4e1db0f1fe842bf0bdc0c2dbb44ccf68869c97163f9abc996d0c74e683334bd4\n  sourceKConvertLambdaPack -> 874143dccabf2f15c3f0cbf24157ebe010d035681027c467b36e693762efcd71\n  sourceKConvertLambda -> 74acfd9c0c40c68d6272ede37c54997198909fa608c7889eccd32a2c88d86110\n  sourceKConvertList -> 158ed1e64be35f3a283dfc3784a40a301f340b90b1acfd15f9c3ef66600cfc75\n  sourceKConvert_ -> 18a1c2dbe1c3ab3aaef19512b97728be8fa22663787a19eec940ad48efdb2df6\n  sourceKConvert -> 3183b6cfe46a2eef3b1f0593ed3848c3e16888ae030c8b8de06f7306bcef27c5\n  sourceRunTerm -> 3e9977a0d3cb7c150dfc0e4b31623b2424071cc4e433e59e11d696e10c27f528\n  sourceCompileCoreReference -> 69e9c08853e14f8606d0930a0fa3aa325706794d7c5e6a6cc182e41810369de5\n  sourceCompileCoreKiselyov -> 9c4b336a7e9d42ee73e624df723949540d01f316b18fc197802a97217d2ee389\n  sourceCompileCore -> 0b36c5210bd24df83f9bdc63a6895b1524d85b239b61cedbea6a4e64354ff681\n  compileGateSource -> 7a34fd04463fa8bef9e1a22d30b2fc60b3e91f13fcb4e88b65f55e238a13ef56\nCreated module alias source_compile -> fb41d71410ad8fb9c0da35a5ab0a6b782b9814bd7629737b710b7404648939cd\n",
+          "stderr": ""
+        },
+        {
+          "argv": [
+            "/nix/store/pgcacnpm7sci6iv8z7sl3niazl49j80i-tricu-2026.10.24/bin/tricu",
+            "arboricx",
+            "import",
+            "--file",
+            "/tmp/tricu-binding-stable-constructor/source_core.arboricx",
+            "--store",
+            "/tmp/tricu-binding-stable-constructor/store",
+            "+RTS",
+            "-N1",
+            "-M4096m",
+            "-RTS"
+          ],
+          "returncode": 0,
+          "stdout": "Imported 27 root(s):\n  sourceCoreNode -> d8e9d65f71d83f16f6faf7fcda50d14f6b922918ff94d379278d4c6a4c3fafc3\n  sourceCoreKind -> 3ec371c2c643a6d27efa4037d67ee1ece8bcd2fce30e914ed8f718c09f26dd8a\n  sourceCorePayload -> 110f1681320cfb98353d697325a848cb3db6e01a4ae4f2ab74e51652dfa29cde\n  sourceCoreStart -> 5859820da9d54f4330da2c01e58c080785ac616de44b71a684646ea43cb5499a\n  sourceCoreEnd -> 17b19069ef5d015ab86624aa4af36fbafb8fad26952bcc7333ff262ae1a30f32\n  sourceCoreLeafKind -> 1190521ada412b467553aaf0cc540667821741d8bde7c0343b46d309e7f83ab1\n  sourceCoreBoundKind -> 68e06c01f7444d85875f2ac7e2dced23ae13ac023f33878e42d836cce85f67ee\n  sourceCoreApplyKind -> 085c5b836e9a8a5ebcfa852bda07e83727866c8f6e50e05bdd73194453130666\n  sourceCoreLambdaKind -> b2e66bb188294cb57ae67cdd418be3484303e91289a163c98318c92d8174fa68\n  sourceCoreExternalKind -> 7c3d441c44495695f6a7d8b2908089028cf9ec6a8804c893a4163836730e8bdd\n  sourceCoreNumberKind -> 6190591b68c768f262d22f9118c2682c5529de6c8ef21255efc2f900f586717a\n  sourceCoreStringKind -> d69fed5ea86c1fba0f5e6787d0bf8718ada5a29f4fbc8ac20b30e322fe951f31\n  sourceCoreListKind -> a98596a26fc109ff4ff6f59c6c2b839b16c797a41b352975fd525a6b3758479c\n  sourceCoreLeaf -> 5257d4147e76a60dbd342d9c560fac19f82b5e305112a03df9e5153128f8ba62\n  sourceCoreBound -> 9378d0256d6676c8dc8793f7d7452f148f5cdec8fa872e2c38d551b90e4b7ba0\n  sourceCoreApply -> cac480540b3b0aa4423ab5636de74054927ce68f8e09880603c842c261a5ac56\n  sourceCoreLambda -> d00e314d24801f6279706365128c9b7993b28c8a5ab34e28ee788c236782091f\n  sourceCoreExternal -> 2721f9cc63b8fb37fa9bab633980501f47adfc80d08b24649472b59fb5dd0ea7\n  sourceCoreNumber -> 3789836ad8fcd0054d7ed5dcb37c90def5b10a7d5cf2107dc8da0f01ffae0bd6\n  sourceCoreString -> 3b06db4d2681efe5fa589dee63d16a83934c1009f571bae98d53721a455d76bd\n  sourceCoreList -> 18a9f66fb84ab6658aa1f47c079c1d772fef531d1c19a1deb9628a6c5a2f04ee\n  sourceCoreWithSpan -> 09da3c215b561c4f231753565710c31c0118f8bb1c0bef537db662527d5bb14b\n  sourceCoreFixI -> 15f13aeab5531e917cb30154730ad17db4f423c0b92784be7fa1817cb4be2287\n  sourceCoreFixSelf -> 1b96e82b7f967ec4962abb96084a38b57d0d55769db6b7f481c55a03f3fd3b2a\n  sourceCoreFixWait -> ff3723a8245032617d8b8d6c9ceb49f304ed214cb0547faa0201252a2e4bd3c4\n  sourceCoreFixWaitSelf -> e8921961ceb205f4651062b434a43e253ae21953968e5a59b4e0a51dff78025d\n  sourceCoreFix -> d048dac09d2c20ffc845ba8fccf50fe3d9efdb3d2ef7c978093c6f17f905532f\nCreated module alias source_core -> 83e1dc8052f806b19ebc737998bbdfff23211b23a6bbe2ae6adbede8ad1652a2\n",
+          "stderr": ""
+        },
+        {
+          "argv": [
+            "/nix/store/pgcacnpm7sci6iv8z7sl3niazl49j80i-tricu-2026.10.24/bin/tricu",
+            "arboricx",
+            "import",
+            "--file",
+            "/tmp/tricu-binding-stable-constructor/source_index.arboricx",
+            "--store",
+            "/tmp/tricu-binding-stable-constructor/store",
+            "+RTS",
+            "-N1",
+            "-M4096m",
+            "-RTS"
+          ],
+          "returncode": 0,
+          "stdout": "Imported 3 root(s):\n  sourceIndexBuild -> 0a7f089eea32b03de4a082f40a7de4d6b548d2b93861bad8b861d20b86c75bce\n  sourceIndexPut -> c5f8414498d846399d3b7c25f65cbfa5241960e3694010c77d879976ece4f80d\n  sourceIndexGet -> f78cb37b42494cce32491baaab8c82b1e7eca75d679533af320e260686a950f0\nCreated module alias source_index -> c2946fe3ac0daf1a06d6f7deab9f7ad08d679c241b04ad9c0c6d3b6038cf091d\n",
+          "stderr": ""
+        },
+        {
+          "argv": [
+            "/nix/store/pgcacnpm7sci6iv8z7sl3niazl49j80i-tricu-2026.10.24/bin/tricu",
+            "arboricx",
+            "import",
+            "--file",
+            "/tmp/tricu-binding-stable-constructor/source_order.arboricx",
+            "--store",
+            "/tmp/tricu-binding-stable-constructor/store",
+            "+RTS",
+            "-N1",
+            "-M4096m",
+            "-RTS"
+          ],
+          "returncode": 0,
+          "stdout": "Imported 22 root(s):\n  sourceFindDefinition -> 5efe7dbc0c5c30879cb48bce9fe264c98d78e10e4cc580d3215a4edc1764d75e\n  sourceFreeList -> fbe8d73b53bafa84df8dc6bd56e409fdb96e9216dcbf52890511edea1f49b1cc\n  sourceFreeEquations -> 96bb6c7663269b05ee7b0246bc2a0a5073351ee5fe04d63d7dc82f3f1db62366\n  sourceFreeOrdinary -> c8c4a4e006145d3cd8624fb868d49d9344a65e374e630e62077cc7a596abc9e9\n  sourceCheckDuplicates -> 4b54c071a6f0d16e30e22d07371248298a8a252411d3a9813e9932e76007bd37\n  sourceCheckNames -> f256048c32d8c5d715648b9764cf8bf74dca9c71680a1ce7c238097735244be5\n  sourceDependencyNames -> f3d3a13bb8dd33214fdd74056624ee6131d4bcf8ff8aca53b9f5ddafe6f5a6fb\n  sourceAnalyzeNamesUsing -> 684cf806677be0243b27511cb27495e44fec00c454ac237485e680c33c26fac4\n  sourceOrderCycle -> 87cea9e188fdd8d18b6edb28e232b54651711fc26f888bf3a740f2a40fab3280\n  sourceFreeVisit -> 0dbb4b01492794b47487359dd28a96d3a90cff2592bcdab4845de2c09d060a6e\n  sourceFreeNames -> 7479c1844986e65c98ac51bad32e5e2b640c9a81b9587a38f8cdf229af566841\n  sourceCheckDefinitionNames -> 3839daff2dde826528b0b36b41961a27ae3c47aa1518f07578691b67ca48f359\n  sourceCheckFinalNames -> ba6c234c511ed02f50163cf9e23f5fc139d538e9612170d7c04f46ce3b1aadc3\n  sourceDefinitionGraph -> 93f310d7d9778a9a6671d4079615489a95f0547ba421c1cf2612569a20ed66ee\n  sourceAnalyzeDefinitionsUsing -> 82008e01bbf90267ac23e9de505f7ae3dde5582fc0ab60ef6cc7f4ee8026b52a\n  orderGateProgramUsing -> 676c9d98da7faf4f44a6bec3032a597b3fc7ded4bdd25b4b620d51ce5d5c1151\n  sourceAnalyzeNames -> 1c942c12c5bb7ac70514d847b6bb88a3f7420d36abbbc64eee264fa4eb042ab7\n  sourceAnalyzeDefinitions -> c8fccb79895d554a71c9200f6b6b808df1bf68a4af68f66bd58a6c369bbe90c5\n  orderGateProgram -> 2ac7d4b29c491ef5340e299365d3649def7ee5d0737e95f8868ed50c1fc89990\n  orderGateSource -> 1ff1b2c433c0eb593d1bf6ff3e7b5b3a6186541d73d3182eb46be94842756a3e\n  sourceDefinitionIndex -> f9e761f7078989846db14e1a82d2e4644cfbc02f0147bc4c50a133cc752be205\n  sourceAnalyzeIndexedDefinitions -> 24a89119b63b695942a8e3ce5ec2370a587ae27d9d2628eb6d725f9cfd885a9f\nCreated module alias source_order -> 1d55b1616e892be989d2c987099c84bef61686fc67f6a3eb5b1a373626b0ca5e\n",
+          "stderr": ""
+        },
+        {
+          "argv": [
+            "/nix/store/pgcacnpm7sci6iv8z7sl3niazl49j80i-tricu-2026.10.24/bin/tricu",
+            "arboricx",
+            "import",
+            "--file",
+            "/tmp/tricu-binding-stable-constructor/source_program.arboricx",
+            "--store",
+            "/tmp/tricu-binding-stable-constructor/store",
+            "+RTS",
+            "-N1",
+            "-M4096m",
+            "-RTS"
+          ],
+          "returncode": 0,
+          "stdout": "Imported 36 root(s):\n  sourceProgramDefinitions -> 3ec371c2c643a6d27efa4037d67ee1ece8bcd2fce30e914ed8f718c09f26dd8a\n  sourceProgramFinal -> 3856245390ebe3c7d20664ab4c7cdac32218f1d4bfedb398d75831362a7ead51\n  sourceDefinitionName -> f63dc5c681bc60ce77e80f8e27bd91ff18e024af57bef38b2bbc266965ba9304\n  sourceDefinitionPosition -> a1978a34b6825e28070943801476003efc4acb0051b7b4e5ddc1522213846d0f\n  sourceDefinitionBody -> 3856245390ebe3c7d20664ab4c7cdac32218f1d4bfedb398d75831362a7ead51\n  sourceProgramSkipNewlines -> 8b565d0514ad0dcfd73c23665bbea1f3bfba66b762c67e2b53272404b0fda06f\n  sourceProgramDefinitionValue -> cbf8fd9f34a33faef0b87ae100778e8aa8eb9a02a3d65e3f0b9abc898a752bac\n  sourceProgramAssignOnLine? -> 5a034b4cef76733c605f419843e78404d4e36a89f0e8a6c1ea2853da4acaf539\n  sourceProgramDefinitionHead? -> 8d33d487e1b99f9c5164f959aace32bcf363244997e2f71cadec5331ed5e3870\n  sourceProgramContract -> c08f7dae3a916990478867d677c01efc80df87f8507443f56127e0710a085751\n  sourceProgramArgNamed -> b0f8c9b782cb20c4c0577a69e5de3866afea2198613a66d6a6108fd3a3a999c7\n  sourceProgramArgPhantom -> d4479e752c9dbaccac2c20892e4755bc99738d16ea9f1e27d445bd90a251fd31\n  sourceProgramArgument -> 7d01bce20d357140499a2b14830d68051f4a0a55d81304d2e48bfa38974bb4e5\n  sourceProgramSynthetic -> 3978da80578be58348ff1d1ecd71d86a0ea827df6441d53100360319ce1bcb7b\n  sourceProgramName -> 410882eb5ceb8e28ec89e297f389b82e37cf819a660aaa7e273ddcffb2bb5dc8\n  sourceProgramApply2 -> 88fbea11eff70745b30550bcfcaf6e480123e60e0438435cc3fbd961ec5f0a05\n  sourceProgramApply3 -> 1144ea776326ef34886d082bbfb3f108c02434b143da15f7b3cb27869d188164\n  sourceProgramChecked -> 7f560413f21948ceff011c94bc219c5baec5e484d8be7d422b3e8c724d96d938\n  sourceProgramFailure -> 524032bbc61bf7d70c99a94734b4b73d08109caa47189cbbd1cd0bb1bafd6351\n  sourceProgramOnFailure -> ec211497a700ce8781d8264f23d1a8bd658ad9c0511f35fd0ecf6ca99bb691f9\n  sourceProgramAbsorbFailure -> 4a9045977496dc95c9864148055d92a33fd580f5883e743a777ff1261f6a3b4f\n  sourceProgramReturn -> 1b5892ccb7160c458a3458e4273dd69bfd73951a86caaa7b3c8724a7b21a7528\n  sourceProgramArgName -> 586b406878f8b21d2b24daa275fd3b7acae42e612e6a9a229a5eefbadebd11a5\n  sourceProgramRawApply -> f3683c5ed0dfe30eb9e5caf6556ddf968a98a6904293665ac4a94f0a3bbb0f1f\n  sourceProgramWrapArgs -> e20f204d16fa6d7a3dd8daac6caf93706430b7154e2598f16b5f70de08bd3523\n  sourceProgramAnyContract? -> 25c9725f3393bef808a46b3fe52f128ece42b5045b72d10f18fdba60b588cb58\n  sourceProgramAnyPhantom? -> 69c87efda1c4d92931ce95f8ea8ef6a16fe74b50341c08b114fc34fe8e319af5\n  sourceProgramAllPhantom? -> f1077ae2631831a5ad776f9699b5ac35118b123294599cc80d59dbac53dea590\n  sourceProgramPlainArgs -> f8ba15083e102c4bacfe3a800356b0ee3708f1d059132631d280985e9f969dec\n  sourceProgramLowerDefinition -> adf39309b68bf340784e823959d1f43dbc4f09c0e69e68729740747ceff4967e\n  sourceProgramParseAnnotatedBinding -> 4d1f9b0f8cb9122387f260ebe917bd56a77a3d978fcf2d3a8cd8c29852434821\n  sourceProgramAnnotated? -> 11b79ae7f3537d4e26546cfc12fbdb4be7618e6d4a5c5427bf2d04299f70b7ff\n  sourceProgramParsePlainBinding -> f671e2530e39b7f7746cc3c5c6779e241808a5166963c8d9317e37e4a9adef32\n  sourceProgramParseDefinition -> 24be4c47296f1edc799b9d4441368a8ea8a7982a83dcba4023d7905b9a78a640\n  sourceProgramParseTokens -> 39f6483fc0ce4411b2c50183f0f949774da7ff4aa1644326bf42a470f412adba\n  parseGateProgram -> e4909797e050abb0cf732dde9df2f5750ca081f6f6b8414d9c8e9bb1c9aed916\nCreated module alias source_program -> 447aa7d321344146772a2693e83b2ab87a0058e281c42780e1bb5b24e0ea995d\n",
+          "stderr": ""
+        },
+        {
+          "argv": [
+            "/nix/store/pgcacnpm7sci6iv8z7sl3niazl49j80i-tricu-2026.10.24/bin/tricu",
+            "arboricx",
+            "import",
+            "--file",
+            "/tmp/tricu-binding-stable-constructor/source_resolve.arboricx",
+            "--store",
+            "/tmp/tricu-binding-stable-constructor/store",
+            "+RTS",
+            "-N1",
+            "-M4096m",
+            "-RTS"
+          ],
+          "returncode": 0,
+          "stdout": "Imported 32 root(s):\n  sourceFindBinder -> 16d2b5adac452f490f7d67c9a60871ce419747e65e2499128bdbd1f769fc5bd5\n  sourceFindExternal -> cbca0a8f60da95678fd13835871910a93b6cfe5efa53eed964d223a5f7e6607f\n  sourceResolveNameWithLookup -> f036dddc3bd3aaf48d3d9e08ddd7685bcc90465d2b886fccdfed6e9e1d7ab316\n  sourceResolveApply -> 1caa7453ed94a7d8f8d7b62ae1c2fb85c80bed0826285866029efbf889799fb1\n  sourceResolvePipe -> 8b9a2d54d1dadbe5be89c00648c61b48012aa9fc60fb21e6077d3a79ec05b42b\n  sourceResolveLambda -> 7f78e8c73bd6521f30a4a8133396bf708d7c7da7c693e0b0faf14348b44d1e91\n  sourceResolveGroup -> a9df39db96d81db0a444617bfb4c96ca1f8b05767fd52a207aeb94af2139dbee\n  sourceResolveDo -> 75bb3992b8741039e782228b8a469005a60329cac52b53c399b8b695f051ead0\n  sourceResolveLocal -> fa2c54492fc1714eac73f279a774fb1fc23906d69249367585b9dfab49942732\n  sourceResolveElements -> f97597a53de0ffec5a1bf4667c442c7f78ed1cd323fd95e338fb3a8597db4a9a\n  sourceResolveList -> e4fbbe44d1618c6bfb42da16ca0ba88f85e56f69e50f7861e74b4e9f734eb839\n  sourceResolvePatternNode -> 5e7fbe1cc96788a12687ef518a3ffa6844365fc1ee4be4670ac013cf92556fe6\n  sourceResolvePatternChild -> 4636c1c61a8770cafce1eb84b3eadf13cd4954cd89faf27daa7098b394082135\n  sourceResolvePatternLookup -> e1791322206fc3d69693e6af9bf6e973fd07048fea6b15da1c5b490ab40e7644\n  sourceResolveEquationLookup -> 468a8669188c36d80484b8c8ac11e3cc7c59de389ff4bb00b4d17e42afd3441a\n  sourceResolveEquationsWithLookup -> 8877f3432b0fbc1b2eb22417bae5b9308a17bfecdee54ccefb2e52713733072b\n  sourceResolveOrdinaryWithLookup -> 3112ad948fc68a696f95abf5fd75aa6bf06b6330dc4125671248bae4bc495cd8\n  sourceResolveCase -> c41248bcf41a4c8922a97df4003aa3ec4b0d1c266fd0ef46bc42658c1b0dd385\n  sourceResolveRec -> e8d80671a673ceed4e6af4277e7c21ce9c6aabf59e9e39c1410d65b23095a0ba\n  sourceResolveStableWithLookup -> 1a3e6c72ce291ea2100a1a8dd35fa91661191e4cdf0560e2af85f0ba809b6b47\n  resolveStableGateAstWithLookup -> 1423ad35df275fb487bdfc76553c080fe10fdb661a8fa1aad812d10894cdb8d5\n  sourceResolveName -> 85b9b73aba66c084cf62055d96e019bb79330027b9bd642241ce36daf91c0f44\n  sourceResolvePattern -> ba0115eccae369a3b66ddf66836878d4c7df7f7895c8e6c6091e45ed18375b5a\n  sourceResolveEquation -> 0023162f47033079124407e44f201a5c56fe0317a8e35d59f435a85768144ec2\n  sourceResolveEquationsWith -> 2669f6a770d3e73d46419bb7f2bc6333bf7e8fb4356e66b58a4e111710dcf563\n  sourceResolveEquations -> 1f469dfa983101f1507147b4f3fda04d46f2fb3cab0743f7efce4df031a8db05\n  sourceResolveOrdinary -> b93dae0ce7ed05bec58e51f2b3c0334ef4284c0af084b9a61f9d8bf97281c0e8\n  sourceResolve -> 5eefd8d756aa966f902e7c07301045ace247135dbbb6b442d31990b09384f60a\n  resolveGateAst -> 2af1f88c9eb28b30395edcadba96cbb7e3d12f5d5649eb27e2d48f52c2fd8366\n  resolveGateSource -> 138aad260f05ee6a126b36912b88865ed270573b3fd936a4c6396a5340bda079\n  sourceResolveStable -> 676e75a8c97a32e544f55fc797a60b0838b7cfccca3d5427ebbdb501fdef0273\n  resolveStableGateAst -> 12e2a91aa4293614ac1b3a2d4a11db8d4f4049e5cd269f4fa79d152c44accb4c\nCreated module alias source_resolve -> ed934dd01014852aa2e3734444538d0c0807da41bc661cd3965eca6ed16ceffe\n",
+          "stderr": ""
+        },
+        {
+          "argv": [
+            "/nix/store/pgcacnpm7sci6iv8z7sl3niazl49j80i-tricu-2026.10.24/bin/tricu",
+            "arboricx",
+            "compile",
+            "--file",
+            "/tmp/tricu-binding-stable-constructor/workspace/source_unit.tri",
+            "--store",
+            "/tmp/tricu-binding-stable-constructor/store",
+            "--output",
+            "/tmp/tricu-binding-stable-constructor/source_unit.arboricx",
+            "--compile-timeout",
+            "280",
+            "+RTS",
+            "-N1",
+            "-M4096m",
+            "-RTS"
+          ],
+          "returncode": 0,
+          "stdout": "",
+          "stderr": ""
+        },
+        {
+          "argv": [
+            "/nix/store/pgcacnpm7sci6iv8z7sl3niazl49j80i-tricu-2026.10.24/bin/tricu",
+            "arboricx",
+            "compile",
+            "--file",
+            "/tmp/tricu-binding-stable-constructor/workspace/source_stable.tri",
+            "--store",
+            "/tmp/tricu-binding-stable-constructor/store",
+            "--output",
+            "/tmp/tricu-binding-stable-constructor/source_stable.arboricx",
+            "--compile-timeout",
+            "280",
+            "+RTS",
+            "-N1",
+            "-M4096m",
+            "-RTS"
+          ],
+          "returncode": 0,
+          "stdout": "",
+          "stderr": ""
+        },
+        {
+          "argv": [
+            "nix",
+            "shell",
+            "--impure",
+            "--expr",
+            "let f=builtins.getFlake \"git+file:///home/sezycei/.paseo/worktrees/2nsr29oc/blissful-parrot\";p=f.inputs.nixpkgs.legacyPackages.x86_64-linux;in p.haskellPackages.ghcWithPackages(h:[h.cryptonite h.memory h.base16-bytestring h.vector])",
+            "--command",
+            "ghc",
+            "-O2",
+            "-rtsopts",
+            "-XOverloadedStrings",
+            "-XLambdaCase",
+            "-XMultiWayIf",
+            "-XScopedTypeVariables",
+            "-isrc",
+            "-outputdir",
+            "/tmp/tricu-binding-stable-constructor/objects",
+            "/home/sezycei/.paseo/worktrees/2nsr29oc/blissful-parrot/test/StableConstructorK.hs",
+            "-o",
+            "/tmp/tricu-binding-stable-constructor/controls"
+          ],
+          "returncode": 0,
+          "stdout": "[ 1 of 11] Compiling ContentStore.Object ( src/ContentStore/Object.hs, /tmp/tricu-binding-stable-constructor/objects/ContentStore/Object.o )\n[ 2 of 11] Compiling ContentStore.Snapshot ( src/ContentStore/Snapshot.hs, /tmp/tricu-binding-stable-constructor/objects/ContentStore/Snapshot.o )\n[ 3 of 11] Compiling Runtime.Tree     ( src/Runtime/Tree.hs, /tmp/tricu-binding-stable-constructor/objects/Runtime/Tree.o )\n[ 4 of 11] Compiling Runtime.Value    ( src/Runtime/Value.hs, /tmp/tricu-binding-stable-constructor/objects/Runtime/Value.o )\n[ 5 of 11] Compiling Runtime.Presentation ( src/Runtime/Presentation.hs, /tmp/tricu-binding-stable-constructor/objects/Runtime/Presentation.o )\n[ 6 of 11] Compiling Runtime.Merkle   ( src/Runtime/Merkle.hs, /tmp/tricu-binding-stable-constructor/objects/Runtime/Merkle.o )\n[ 7 of 11] Compiling Runtime          ( src/Runtime.hs, /tmp/tricu-binding-stable-constructor/objects/Runtime.o )\n[ 8 of 11] Compiling TreeObservation  ( src/TreeObservation.hs, /tmp/tricu-binding-stable-constructor/objects/TreeObservation.o )\n[ 9 of 11] Compiling Wire             ( src/Wire.hs, /tmp/tricu-binding-stable-constructor/objects/Wire.o )\n[10 of 11] Compiling Main             ( /home/sezycei/.paseo/worktrees/2nsr29oc/blissful-parrot/test/StableConstructorK.hs, /tmp/tricu-binding-stable-constructor/objects/Main.o )\n[11 of 11] Linking /tmp/tricu-binding-stable-constructor/controls\n",
+          "stderr": "warning: Git tree '/home/sezycei/.paseo/worktrees/2nsr29oc/blissful-parrot' is dirty\nsrc/Wire.hs:246:31: warning: [GHC-63394] [-Wx-partial]\n    In the use of \u2018head\u2019\n    (imported from Prelude, but defined in GHC.Internal.List):\n    \"This is a partial function, it throws an error on empty lists. Use pattern matching, 'Data.List.uncons' or 'Data.Maybe.listToMaybe' instead. Consider refactoring to use \"Data.List.NonEmpty\".\"\n    |\n246 |   closure <- closureFromByte (head $ BS.unpack closureByte)\n    |                               ^^^^\n\n"
+        },
+        {
+          "argv": [
+            "/tmp/tricu-binding-stable-constructor/controls",
+            "/tmp/tricu-binding-stable-constructor/source_stable.arboricx",
+            "/home/sezycei/.paseo/worktrees/2nsr29oc/blissful-parrot/test/fixtures/compiler-library.arboricx",
+            "+RTS",
+            "-M2048m",
+            "-RTS"
+          ],
+          "returncode": 0,
+          "stdout": "PASS: 196 constructor bodies under three nested binders; 5292 complete application results; classification, sparse indices, opaque arguments, K/eta construction hazards and diagnostic controls\n",
+          "stderr": ""
+        },
+        {
+          "argv": [
+            "python3",
+            "/home/sezycei/.paseo/worktrees/2nsr29oc/blissful-parrot/test/local_control.py",
+            "/nix/store/pgcacnpm7sci6iv8z7sl3niazl49j80i-tricu-2026.10.24/bin/tricu",
+            "--unit",
+            "/tmp/tricu-binding-stable-constructor/source_unit.arboricx",
+            "--directory",
+            "/tmp/tricu-binding-stable-constructor/local-controls"
+          ],
+          "returncode": 0,
+          "stdout": "PASS: 46 local control cases\n",
+          "stderr": ""
+        }
+      ],
+      "reused": {
+        "native_math": {
+          "manifest": "7f87549d587fa8c3be88af0ea988db3adcc3b35f1ffb48973553491b075614db",
+          "source_pin": "ee0c8a09870e69fff8710da95ed672937da1943a37359fde82b941bc8c53a4b3"
+        },
+        "parser": {
+          "manifest": "14282088469cc420dd014700da06998f6bb8dcf990fc885a464c0a1e1858e20d",
+          "source_pin": "7d287f19293acd8122bec448436b6ccbb51c499512a75e9879361a3f171d2cea"
+        },
+        "prelude": {
+          "manifest": "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+          "source_pin": "0c26a0142d15cc2a11a4317264491c797944e76ea8afa07a1efef240a70f4289"
+        },
+        "source_ast": {
+          "manifest": "c6579f89e47a16694f1c08fe9825b183d8bc272e23cd744eb954c106b689c32f",
+          "source_pin": "780ce0315f02aa6bee4008cb073821f8fa0b0aeeea1f63de340129ab9450b50f"
+        },
+        "source_compile": {
+          "manifest": "fb41d71410ad8fb9c0da35a5ab0a6b782b9814bd7629737b710b7404648939cd",
+          "source_pin": "3764484ae723d4311cf04b769251badf7f7a190d9480389303847be1ce665bb9"
+        },
+        "source_core": {
+          "manifest": "83e1dc8052f806b19ebc737998bbdfff23211b23a6bbe2ae6adbede8ad1652a2",
+          "source_pin": "db23a84ef0ebd87b8b183475294a12378079f3deeb5b7e1b8cde310116f6dfcc"
+        },
+        "source_index": {
+          "manifest": "c2946fe3ac0daf1a06d6f7deab9f7ad08d679c241b04ad9c0c6d3b6038cf091d",
+          "source_pin": "d3db01d9854f2371c0e1d36a99de6b21596cc99306a3131f3f753e037a8efbce"
+        },
+        "source_order": {
+          "manifest": "1d55b1616e892be989d2c987099c84bef61686fc67f6a3eb5b1a373626b0ca5e",
+          "source_pin": "ec97f34c89ead701af75053ea340ead1bb0fda13d83b474ca760c3aa359970fa"
+        },
+        "source_program": {
+          "manifest": "447aa7d321344146772a2693e83b2ab87a0058e281c42780e1bb5b24e0ea995d",
+          "source_pin": "e0be902e11394f4cdf1bac89b72e8f34aa2dda5fd51efb7b78fa17eab74b143e"
+        },
+        "source_resolve": {
+          "manifest": "ed934dd01014852aa2e3734444538d0c0807da41bc661cd3965eca6ed16ceffe",
+          "source_pin": "7f5f726392cbbdaa9f30aef09952a31eda14f034e04112a210f60f10542f6add"
+        }
+      },
+      "source_stable_source_sha256": "1941034b652ff9f65a934b30c8698b7c1d1d5f4a92c91190f12ca00b69b155e1",
+      "source_unit_source_sha256": "00640adcfa2b01db4717475a8c2f00a1e82a74ad2e7366e224f883c6aaa0b99e",
+      "source_binding_source_sha256": "e184e1f85936830ee5808e7f4b09e2460b097525ba6da7c0f3b46e114fbb207d",
+      "source_binding_analysis_source_sha256": "ee2378f9ffae7bb62ca4af85c05dcf8cffabe4ab61912cdfb24111aefd89ed22",
+      "source_binding_support_source_sha256": "c3fb6c4875e173e360b2aa7b2e19543629570b07e73b40446c8320cb329e995a",
+      "modules": {
+        "native_math": {
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+              "7f87549d587fa8c3be88af0ea988db3adcc3b35f1ffb48973553491b075614db",
+              "decimal",
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+              "ascii",
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+              "7f87549d587fa8c3be88af0ea988db3adcc3b35f1ffb48973553491b075614db",
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+            [
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+              "7f87549d587fa8c3be88af0ea988db3adcc3b35f1ffb48973553491b075614db",
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+          "pins": [
+            [
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+              "14282088469cc420dd014700da06998f6bb8dcf990fc885a464c0a1e1858e20d",
+              "parserDiagnostic",
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+              "14282088469cc420dd014700da06998f6bb8dcf990fc885a464c0a1e1858e20d",
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+            ],
+            [
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+              "14282088469cc420dd014700da06998f6bb8dcf990fc885a464c0a1e1858e20d",
+              "parserUnexpectedToken",
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+            ],
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+            ],
+            [
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+              "14282088469cc420dd014700da06998f6bb8dcf990fc885a464c0a1e1858e20d",
+              "parserSatisfy",
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+            ],
+            [
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+              "14282088469cc420dd014700da06998f6bb8dcf990fc885a464c0a1e1858e20d",
+              "14282088469cc420dd014700da06998f6bb8dcf990fc885a464c0a1e1858e20d",
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+            ],
+            [
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+              "14282088469cc420dd014700da06998f6bb8dcf990fc885a464c0a1e1858e20d",
+              "parserPeek",
+              "326acb408b9d69931df25a0465c65b77bb11418effecaec306e038d9b8e2de04"
+            ],
+            [
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+              "14282088469cc420dd014700da06998f6bb8dcf990fc885a464c0a1e1858e20d",
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+            ],
+            [
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+              "14282088469cc420dd014700da06998f6bb8dcf990fc885a464c0a1e1858e20d",
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+            ],
+            [
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+              "14282088469cc420dd014700da06998f6bb8dcf990fc885a464c0a1e1858e20d",
+              "parserNonConsumingRepetition",
+              "a373dac7a70f2ac86862e6c33b5d78551940d7335b736bd499aa728183947686"
+            ],
+            [
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+              "14282088469cc420dd014700da06998f6bb8dcf990fc885a464c0a1e1858e20d",
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+              "e538dae2ee8883edc767e1b0652aef98bc452ad58da60199540789e18cfe969f"
+            ],
+            [
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+              "14282088469cc420dd014700da06998f6bb8dcf990fc885a464c0a1e1858e20d",
+              "parserSome",
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+            ],
+            [
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+              "14282088469cc420dd014700da06998f6bb8dcf990fc885a464c0a1e1858e20d",
+              "parserTakeWhile",
+              "23055b3600824f3db45c6cd45a883741ce7dbdad478525e4cdca6b83e61a7ba2"
+            ],
+            [
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+              "14282088469cc420dd014700da06998f6bb8dcf990fc885a464c0a1e1858e20d",
+              "parserTakeWhile1",
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+            ],
+            [
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+              "14282088469cc420dd014700da06998f6bb8dcf990fc885a464c0a1e1858e20d",
+              "14282088469cc420dd014700da06998f6bb8dcf990fc885a464c0a1e1858e20d",
+              "parserBetween",
+              "2958c93c24534b1964490cdd7b64dae6402779c4bab79b50514eabc557ad8dbb"
+            ],
+            [
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+              "14282088469cc420dd014700da06998f6bb8dcf990fc885a464c0a1e1858e20d",
+              "parserSepBy1",
+              "e757fa9298d5910de650ef45cb9198c0db0af29fef7df382eb9ff087f1f64a0e"
+            ],
+            [
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+              "14282088469cc420dd014700da06998f6bb8dcf990fc885a464c0a1e1858e20d",
+              "14282088469cc420dd014700da06998f6bb8dcf990fc885a464c0a1e1858e20d",
+              "parserSepBy",
+              "f75b27a8b18376e9c346fb6443028fabf03b713f7b111ca4daee037b300d70af"
+            ]
+          ],
+          "source_sha256": "98282c528996abe3aa957d85e197b0dbb124a30b03ab0dcd987a7a95f464090e"
+        },
+        "prelude": {
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+          "receipt": "2f3c3f8153128446df9227aba46165d9fa0965ae1f60ced15c3f4d645cfa77d2",
+          "exports": {
+            "false": "6f93378feaa8bf5ab7cefc071175a654c871bfd53f165d7d96795fb2b38483f1",
+            "_": "6f93378feaa8bf5ab7cefc071175a654c871bfd53f165d7d96795fb2b38483f1",
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+            "id": "15f13aeab5531e917cb30154730ad17db4f423c0b92784be7fa1817cb4be2287",
+            "const": "c77cf428a6fda9f6d681a1dd832f02118c43fd945fc71542ce78eaadc623b763",
+            "pair": "6f93378feaa8bf5ab7cefc071175a654c871bfd53f165d7d96795fb2b38483f1",
+            "if": "56fd7fec37e6713635947456e96f6dc61836bb46849ee931ec3c857c6903e7bc",
+            "y": "6acb841649e0e188532ad5cf9d6fe75231980a319252cfa87951018ef683a915",
+            "compose": "d7c1fcd7ffdb874370f9a04b7f85daa04789db51e1a169db71bcdf3cc1d92844",
+            "triage": "3b89c8b2218cd7c9969398c48c0becc6671ab0ab5c456dcf575109b2bae0d28d",
+            "test": "606b5a4981f6012fb36c83ccad2f44f6d8f43c5fe1cb007427aa9ec17e0d6e7e",
+            "matchBool": "5e75e2eba9d9f1465e75b35d5f2c974e02da8609c384965533123cf159c8afa1",
+            "lAnd": "48b77e121652f7372961bcff04a0a1eaeb6ba2b524b5df9e9b236045783e9104",
+            "lOr": "fda8282b06b0ad4a2989987184cdd2b1e3d81a9355d431c467606f0431e52392",
+            "matchPair": "f6190e6a6483238cde28df9e47e3e9a0679cc1416e8e21cc7537a147dcad9f9a",
+            "fst": "8e0725282a61d8f9b877514b91d73dc35986fe428eb643023ab94d3c080410f5",
+            "snd": "5485573a58b48584b5587240f43f834ac1a3938cd2305e11a3912a16f6ad664f",
+            "not?": "314affa8a7250aa5cb4cf00e35449676ae3a18cacd6478026c3e01131fe74b21",
+            "and?": "48b77e121652f7372961bcff04a0a1eaeb6ba2b524b5df9e9b236045783e9104",
+            "or?": "5e0f47dad5ddf5868a3f49bd764af78eabbbb5ea3cf11c102c859accab2b844b",
+            "xor?": "f4395e0930bc2fe8175de5dc7086dc09bc0e6bc31bb6d69c160a0f726cdf4c4c",
+            "equal?": "2beb6faf5804bb74130d24e431756623c25b838278f6f13a3f326b2f0dee1eed",
+            "succ": "92368bcbd17e125e9320d4b6b6be1ecc192f195f73602c6587b886d0134b60d1",
+            "ok": "fa6c79b65290f4a9df00d6597094d9bed71250d54eb58c2fb339427680ad965b",
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+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "compose",
+              "d7c1fcd7ffdb874370f9a04b7f85daa04789db51e1a169db71bcdf3cc1d92844"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "triage",
+              "3b89c8b2218cd7c9969398c48c0becc6671ab0ab5c456dcf575109b2bae0d28d"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "test",
+              "606b5a4981f6012fb36c83ccad2f44f6d8f43c5fe1cb007427aa9ec17e0d6e7e"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "matchBool",
+              "5e75e2eba9d9f1465e75b35d5f2c974e02da8609c384965533123cf159c8afa1"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "lAnd",
+              "48b77e121652f7372961bcff04a0a1eaeb6ba2b524b5df9e9b236045783e9104"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "lOr",
+              "fda8282b06b0ad4a2989987184cdd2b1e3d81a9355d431c467606f0431e52392"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "matchPair",
+              "f6190e6a6483238cde28df9e47e3e9a0679cc1416e8e21cc7537a147dcad9f9a"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "fst",
+              "8e0725282a61d8f9b877514b91d73dc35986fe428eb643023ab94d3c080410f5"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "snd",
+              "5485573a58b48584b5587240f43f834ac1a3938cd2305e11a3912a16f6ad664f"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "not?",
+              "314affa8a7250aa5cb4cf00e35449676ae3a18cacd6478026c3e01131fe74b21"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "and?",
+              "48b77e121652f7372961bcff04a0a1eaeb6ba2b524b5df9e9b236045783e9104"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "or?",
+              "5e0f47dad5ddf5868a3f49bd764af78eabbbb5ea3cf11c102c859accab2b844b"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "xor?",
+              "f4395e0930bc2fe8175de5dc7086dc09bc0e6bc31bb6d69c160a0f726cdf4c4c"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "equal?",
+              "2beb6faf5804bb74130d24e431756623c25b838278f6f13a3f326b2f0dee1eed"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "succ",
+              "92368bcbd17e125e9320d4b6b6be1ecc192f195f73602c6587b886d0134b60d1"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "ok",
+              "fa6c79b65290f4a9df00d6597094d9bed71250d54eb58c2fb339427680ad965b"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "err",
+              "d0fb36bc3d029d4f307101c457452b2fada5e71835dbb5277b48b057afd180c1"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "matchResult",
+              "7a8f2434be8829fb8828f3f025e7144191031d471cebddb6d2dc8e5efcde8e7a"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "resultIsOk",
+              "c95b951a6b2651c742f1b61b2c7ee423dfc44134b39bff184d7d5f98b522336b"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "resultIsErr",
+              "41c525d70056bae0a40f54608f072b56ecd93057a5d6d560c67ebd68f7fa49ef"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "nothing",
+              "6f93378feaa8bf5ab7cefc071175a654c871bfd53f165d7d96795fb2b38483f1"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "just",
+              "6740c23886cedc8d876db8c2f3a4e8c2e647bc4b0806552f9b47c1fb2fa5d4e4"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "matchMaybe",
+              "0e50413f7b90700b0f52fd794e87f99938eff9f7bbda61ee1382d3f29bb2a5df"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "maybe",
+              "5558ad99e8503199405c47a7742433cec680d7f83ccf203be03e5c8491349bcd"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "maybeMap",
+              "0e934bb03bcad87fdb9cbd7a3fe10e6b9813170523661d3cc0fb779c237089df"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "maybeBind",
+              "fd8db402e6b4565646ea18b5cf99d99b860de9e2c68ef4736c113226a16e1dce"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "maybeOr",
+              "379313856ec98dee847b54d994cb8a5a439457e9521d2469ca553b0fbe883dcf"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "maybe?",
+              "7d04abf2f877095c0f7c1a23968687b611965a9c810eea9715754567d7905f2b"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "lazyBool",
+              "1aea8441c7da5880c46c0cda4e67f5fe26031168affa6ed41a3e959f780921fa"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "lazyList",
+              "d1e600fe518c4f2ff1814c6cac186ed8ce6674ded700755129c3df0c685cb89d"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "lazyMaybe",
+              "0450f8cc043deb7651af752148d3490300f78e124555cc33e0e409fca32ba000"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "lazyResult",
+              "ca3675c3587d3ac79b7b1067912388aa5353c7a2b7fe5258cc5535914a0b49f5"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "ifLazy",
+              "50cf419adcba80f9ca2baf6fe82195845e6dc3f06ffa28743d006d47f3820273"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "andLazy?",
+              "f782153bf621d20287c255f8bfdeacf126973875983e461d05ea9c3e0968639b"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "pred_",
+              "dadc9a9becafd4bb255bc9bd00616c49a488237b4e16ae5919ae46f590525667"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "isZero_?",
+              "1a44df56829bf449628a829ebf2d0a02ef86babe5c2f016e0ae58ef490a0c584"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "lte_?",
+              "a418c1e5f9d7009ced4b56f78b7362dd19737561f8569cc75a61fc2af0bec51d"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "gte_?",
+              "a673430b4e67fc6e29e3ae0311fcc849cc6cc86de8012ef2a279854283001e54"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "lt_?",
+              "2d03ab42e2a4c9cd6f7ba21c381816f69ad0d9a68603de268e40649d9de3d680"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "gt_?",
+              "d61ee5a7024a93abad63c481e07dbe5c397185091d495280521aaccc7cc4ffbb"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "even?",
+              "1708a9a702cf609e842f230d620ff0b52502b07e6209a5124475007d23bb1333"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "odd?",
+              "597f51ff9347748cc2a6ad0a824e18506d3db33151258898f8ad5c77e4aa35dd"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "mapResult",
+              "175ce29ff0cdf8a18f1a40ba4e5555153bfe7c6681acf267b4eff617fcb542b2"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "bindResult",
+              "3d7c08240f2b7614d86e0e58b758b21f10ca1291d1a2c32128ecba8ca50499bf"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "resultOr",
+              "e0eadaf43ed5b408817338534b30d5adbdf027b54597b9198717ebc1d5c4972b"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "resultMapErr",
+              "090a773457482c6d03b9d56d9a660da1d868992875b6336f0aebb5a20d009a0b"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "matchList",
+              "732ece1c0328060122cefceb8ecfd6afd3890ecc04554c87750887ddb2bef5b4"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "emptyList?",
+              "1535dec8df207e8884288469857d96d658b6f31ae36723de6297cd73aab9cfb5"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "append",
+              "af7e2569d0d16378cddc57f9f5ba894fb0b8c4d82edf2e9555c21e61c8c96ec8"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "lExist?",
+              "c55b80e7759ab0057ccdc676542098b9fdbe58ab7cd7bee326b41c9d5931e8d3"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "map",
+              "082c832efccd01a00168483bacc71219c005b7f532886e467d1f93a128277045"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "filter",
+              "2ea4a2cc9ccba98902dfe74c2e1fa2b5fec4fa498764bcb86b3b01e4fdb8667b"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "foldl",
+              "87493caa0e52e0804336420e35e3ea46e4a218670c2281e9eb4f5eec2662fb9f"
+            ],
+            [
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+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "foldr",
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+            ],
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+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "reverse",
+              "294aced922e4cb2c7227030e71525ee239d8ed903a6119854f0fdf81f30392bd"
+            ],
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+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "snoc",
+              "0b2f28544fa3f4254b3125cc9952da1310347ea9e4c6a09425f9784fe373a8f6"
+            ],
+            [
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+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "count",
+              "d8c6cd695fb4009edd23fb89ae5ca53c243e0183e7bab8e1a390d84fa30de888"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "all?",
+              "c46b6fdec24bce9449dbf5bb3882416c5e239b36a287729da036b9106b37e206"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "any?",
+              "ff534aec0900bb624bb2030fae41599417276fe55856c0e773974731c0b76c3b"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "intersect",
+              "c189099dc322035613393dda0057e726e45c25b96819b6d16c089011fb007623"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "nth",
+              "1a5dad6fef788e6ed689ef24db90154c9d430e00b0ea99dab9042f49244eb9a1"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "headMaybe",
+              "f361620ac2ef0c1b51d3937b13936ada3f13290fefdc7afea94303e351ea5c11"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "lastMaybe",
+              "0f75b672c7bf1a24a7f80f1875960b0c9c974f64a45f0f374772073ec9ba5a2d"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "nthMaybe",
+              "a0c61edd95a2cc32f1c7f1a8e0a09f15f472331776cab2d4cf7181250435f987"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "take",
+              "44190ff3c4dfd15c925c49c69b47ac2748da883bace8892a6de4b0d719e28e82"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "drop",
+              "6cebcd1d65a7d48f7ca668efbbfe8441d2009b2dc746f6906a1318b0b18a7b51"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "splitAt",
+              "80ce2ea1592bba157f3743317b141184c7a230e9777731501daf7c778b09f6b7"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "concatMap",
+              "f0d8f0479fbeebae6dcb7109829fb7bef8e7e248449d4411a442b825c4d99d31"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "find",
+              "fa462cf1cf2580b1f98ef7cfedacb258235629551f46d941c38f8ce72b4d6784"
+            ],
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+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "partition",
+              "8417ca2bbe923600c8c2906bcbd693062c1aacc2f41c657e3de8411ebb7e519d"
+            ],
+            [
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+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "strAppend",
+              "af7e2569d0d16378cddc57f9f5ba894fb0b8c4d82edf2e9555c21e61c8c96ec8"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "strEq?",
+              "2beb6faf5804bb74130d24e431756623c25b838278f6f13a3f326b2f0dee1eed"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "strEmpty?",
+              "1535dec8df207e8884288469857d96d658b6f31ae36723de6297cd73aab9cfb5"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "startsWith?",
+              "8154aaec33323a1911f200bd6f18f3f700d248145a770678f420041ebb7458b6"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "endsWith?",
+              "d3f3f02ecfb3efddaa83cd7a5c1730a54d36aebeb23a1dee4c869330c59c7c14"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "contains?",
+              "4b3d77ee01b1740995b5ac3508c2444dfac980225631885f5506876f3d01bea7"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "takeWhile",
+              "04a2117886debee771a2c8344ea1174fe618b41160728c84bf3e74040021f95f"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "dropWhile",
+              "255564d18a37081098d43a3e24ce73c30a02d67deb269aeb42213fced8438edd"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "spaceByte?",
+              "4c3943f0808305e9165947bc4ce126bf61e3a2f65cd94aea0475bfabc069704d"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "tabByte?",
+              "f8942b545e756e54a7a3aa393cd6232a1143516ef46dce62fad08d27b045b16a"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "trimByte?",
+              "3a1c12dbaa34c6f3c7e13a48a7a046043c841797ff974133bd3bdea8350b103f"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "trim",
+              "3f23fcadd5d84bddd3eb54b8756fafcef77023ce5a10684c507eaaeb871f46c6"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "intercalate",
+              "b1d8123f5bcc86cdc0818f00d187b0b29d8668f3183f8e5f793914cce66e2638"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "joinSuffix",
+              "e807557c402969756b74b403213ece91c331c35fd53827a253e70676ace8868d"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "splitOnByte",
+              "702d2ba65cbd69194ca367e506e432c3017d92b91511f5e1088703020cb7e7ce"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "lines",
+              "3844c06c6e848fca0d46d4caf14f44bd4acbcc4df09c482b24a86203053951d9"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "unlines",
+              "6b9789f51d26de29e035cea374fe83964fb239dbf21e7857765355b8a9b7327d"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "words",
+              "3dc82e5d664a329d45c7bff3386c07a0f57129492ed9b8e508dce91d47b2bf87"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "unwords",
+              "ef3ed37b582f3ca7bc5777b74db051fff36a6c5b189591554ec8ca73c1b7385c"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "zipWith",
+              "ad688f802432c721b66429d5283e04f069e1cda24765d3ed8e59ff7b9fbbaac3"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "contractOk",
+              "c4c69ce83e64c58241c5bbbc64b40dbbf6b5bb12b98e3658e50d59440c63f8ec"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "contractErr",
+              "f2129dc0488f6fdb7a8058d1fbddcb156e4e4a7e605df259ac3479835e8ad4d2"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "defaultKernel",
+              "2a17cf6f10c57c0f2e0f59dee7e51344594828ca40e557d5ee36e1710efed76e"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "kernel",
+              "2a17cf6f10c57c0f2e0f59dee7e51344594828ca40e557d5ee36e1710efed76e"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "skipKernel",
+              "5a8b867eeefe887b4c4dca6b40e3702bda3665351d0f31ab52f195ec414a3dd7"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "withContract",
+              "1274c9607e6eb9aa00b4b42dd3417d91df32965516ad2b92cd3e0bf25470a4fc"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "check",
+              "827969ea5ab9f6a2ab6a933210a5ef5b50d070dfb985fa39d6794ea9c740f543"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "checkContract",
+              "b986eecc4c4cc286b1e3b6b0e189516d40a3ce8b47da2a93947b410f8bb9dd46"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "anyC",
+              "c0b097165a685c247bdbcb2af86e4a3fd944af2de922d0e50ad3d68dfeafe91e"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "neverC",
+              "dc33f335150d76666dad1ffb42069e755c7349335c74e084560f8ab8d7df8312"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "guardC",
+              "739640012722834b0924d0b59113650f3c7141beee210319e925ec7280c4ec9a"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "isNat?",
+              "3a182e143ae7e85a110ecb55cac644c431cf0cce55a47be3adf1e95511c18371"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "nat?",
+              "514b65256d4fee60b2da10376b4e342a3d81531ad2dd3c8fe835ac6dbcb2451e"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "pred",
+              "bc4a23ca65baf447a94846d4f0e6695c44a58fb9efd7829b86928bb9a1403339"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "add",
+              "0d37bef7fa64465b14df915cc6623aea5318f470f7589f812006a15483997dcd"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "sub",
+              "45a0213bb312523bc1d50248a519c1272b7079935aa4ec23fd602a271d572dc6"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "mul",
+              "8591573db2e8c65db0ef4ca41fdf8d11960e9558582347b1d32fb07deb390490"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "pow",
+              "e3e69ef1b27695609fa88ceca4fe26c7e638044707d2f4dfbfedff103a2efef5"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "min",
+              "4d4209d0f31f39891f31836b8d14e1ddb6b438920c32454c8cc79940f474541a"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "max",
+              "7a13356de2d4a64e87b9c7a25f87e74c340c917cf5beb348a6a6e274cdc07e72"
+            ],
+            [
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+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "nonZero?",
+              "12ffae613b6629b94eb2016e9bb3af8b37a169fd770a21b0da5ed10e73bf5434"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "div",
+              "643ba7b3b56a10eb65bc0c160310e2176315943c893c3efc33bc0698540f2989"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "mod",
+              "c2f3de03c1391dfc1b29361ccb3bbeafbead3e014bd3ddc92aa421ca088cf1fa"
+            ],
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+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "bool?",
+              "36258eeb3bd1c18cd9f37cb6bb6ac47a7db7dde814924ef958c18a3e4896ae6e"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "isZero?",
+              "cf23e7ad9a127b346042759b69903a5fd2bc303b86135ea82c4cc0bf85b064b8"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "lte?",
+              "3b59f80c7090f1b09b44af18101bd0b1b1026633e6a2b0b47190a2e34d5d2d46"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "gte?",
+              "84b0a8aa0082bd2f8e58e23a7977be2f255ca454e09ec248cf92be701a6b9c4b"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "lt?",
+              "4d5a4946b5360b6eb643e2c7da8b4a89d4fa4a52d1dc3ca8801e22b2a2942b4f"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "gt?",
+              "f46061605057938810eec0be9756811d5c1bc1a782ef928a3ffe0a3615e25a89"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "andC",
+              "8aa9aee5f5e2f08021b211d29132efb043963cfb0487f5c8c69103370e979e5b"
+            ],
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+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "orC",
+              "f56acbbf14935e6df671dad2b245e63483300f3d3c849c3c6dde941907f02468"
+            ],
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+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "notC",
+              "afb1ce3407b598f896bfdddbc467c324344c2332ce4fd9ba1602c5c851c9e22a"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "mapC",
+              "a860f2ba4b79dbe956669c35990c66901569429bb28b9ae2e05626f9b927992d"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "bindC",
+              "d44f97555a129a972b179c076650012146ebb0e5d59dfe5434abc36db653ccbc"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "listOf",
+              "30a2ae02fefbaea305c0cc0c3fc27bcf990646a84fdc4b9ef5b9baeb4910795b"
+            ],
+            [
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+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "length",
+              "09bdc981bfcd9a6670eed0316ad74e6d1e481e9e00cc3d9611531d18f20d80d3"
+            ],
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+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "strLength",
+              "09bdc981bfcd9a6670eed0316ad74e6d1e481e9e00cc3d9611531d18f20d80d3"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "sum",
+              "df430514e1597443431fdc1d05c57121adb31535a51918d2edd2db837fd79059"
+            ],
+            [
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+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "product",
+              "16c840a4a96bb12b09965228e7ae88a3e637de6c61141fbdda1c547859f5ef94"
+            ],
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+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "nonEmptyListOf",
+              "a29da91362b02c103a110ee0d13fb68e3f7098fd0f8e8acc087d5c22847efd3e"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "head",
+              "c61f49e4694b60e4aa2f6b4e8ea5d9c755757457c2fc44d0b9df20a99f35266f"
+            ],
+            [
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+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "tail",
+              "22f8facc5634fbd3c17bb25a81d877775a2ac2ede712a69fa55ee3bd28b0e17d"
+            ],
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+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "last",
+              "effd2a893e07adcb08f6edf9ff96831fdf6e627e21a055bc0dab0a78c4a73b2c"
+            ],
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+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "pairOf",
+              "629aeb46d96462cdc2b1ac48812f9927ca19a1462e9a0ad25b4ee2f61c8258fa"
+            ],
+            [
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+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "divMod",
+              "6b74a1f790d3e9ce7d1c54dd82a4fc792a2d52e86883dad0e5d152c7e5f4b65f"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "fnContract",
+              "16eb50982faf0053febf8efaec1c0fdfaab2b255c149bee87e4e72002079d929"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "fn2",
+              "2ccaacba76d909179969a143fe8175309db4ac415ff5c3a4bbebbcde72ca3dc6"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "pureE",
+              "c77cf428a6fda9f6d681a1dd832f02118c43fd945fc71542ce78eaadc623b763"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "bindE",
+              "f5690c082a04bedc787f9d485458c06dff2238d24a0fe925d287d343d8c51b91"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "exceptE",
+              "ef43908cd91977ac2086ffed30745bbc5d7a4bc5f6e36fcf4ec74237c4346b8c"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "pureM",
+              "c77cf428a6fda9f6d681a1dd832f02118c43fd945fc71542ce78eaadc623b763"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "bindM",
+              "f5690c082a04bedc787f9d485458c06dff2238d24a0fe925d287d343d8c51b91"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "checkM",
+              "6d08e8c9c83672d1e932759aaa2a759b6b5a52f9d18c22a841c75e2fa4cfe2e5"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "liftM",
+              "5a6509acc0b3de69063e9eac30282e318756f3d654d1912f5743d0cd08609466"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "runM",
+              "9ea77563202903b50dd175e9c49b35f9f57bbc2b51e94c3dcf83a63b2fe7088b"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "handleM",
+              "5c1898c35defbbd28fb734362e84cc58758478e9b2167b576226f1d2e13a2017"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "bytesNil?",
+              "1535dec8df207e8884288469857d96d658b6f31ae36723de6297cd73aab9cfb5"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "bytesHead",
+              "f361620ac2ef0c1b51d3937b13936ada3f13290fefdc7afea94303e351ea5c11"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "bytesTail",
+              "e7847aa2818295d37d9127731bbd621adb01050ec4715eaa7ec6a7969959a5b6"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "bytesLength",
+              "09bdc981bfcd9a6670eed0316ad74e6d1e481e9e00cc3d9611531d18f20d80d3"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "bytesAppend",
+              "af7e2569d0d16378cddc57f9f5ba894fb0b8c4d82edf2e9555c21e61c8c96ec8"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "bytesTake",
+              "44190ff3c4dfd15c925c49c69b47ac2748da883bace8892a6de4b0d719e28e82"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "bytesDrop",
+              "6cebcd1d65a7d48f7ca668efbbfe8441d2009b2dc746f6906a1318b0b18a7b51"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "bytesSplitAt",
+              "80ce2ea1592bba157f3743317b141184c7a230e9777731501daf7c778b09f6b7"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "bytesEq?",
+              "2beb6faf5804bb74130d24e431756623c25b838278f6f13a3f326b2f0dee1eed"
+            ],
+            [
+              "pin",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
+              "6aa33a710955e5746f322775b9078f57ba4145f6b723ff4b76a292285e919823",
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+            [
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+            [
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+              "fb41d71410ad8fb9c0da35a5ab0a6b782b9814bd7629737b710b7404648939cd",
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+            [
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+              "fb41d71410ad8fb9c0da35a5ab0a6b782b9814bd7629737b710b7404648939cd",
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+            [
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+              "fb41d71410ad8fb9c0da35a5ab0a6b782b9814bd7629737b710b7404648939cd",
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+            [
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+            [
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+            [
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+            [
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+              "fb41d71410ad8fb9c0da35a5ab0a6b782b9814bd7629737b710b7404648939cd",
+              "sourceKFlags",
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+            [
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+              "fb41d71410ad8fb9c0da35a5ab0a6b782b9814bd7629737b710b7404648939cd",
+              "sourceKTermLiteral?",
+              "30336dc0ea40104a8348a681a4e1ffcca50541a82c5a06757c84f776b216d4c1"
+            ],
+            [
+              "pin",
+              "fb41d71410ad8fb9c0da35a5ab0a6b782b9814bd7629737b710b7404648939cd",
+              "fb41d71410ad8fb9c0da35a5ab0a6b782b9814bd7629737b710b7404648939cd",
+              "sourceKTermIdentityLeft?",
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+            ],
+            [
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+              "fb41d71410ad8fb9c0da35a5ab0a6b782b9814bd7629737b710b7404648939cd",
+              "fb41d71410ad8fb9c0da35a5ab0a6b782b9814bd7629737b710b7404648939cd",
+              "sourceKTermIdentity?",
+              "9093a47ed76a2c43e595d0ec50a878f4c8aff6d52f2cfda0f186e98340542bf4"
+            ],
+            [
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+              "fb41d71410ad8fb9c0da35a5ab0a6b782b9814bd7629737b710b7404648939cd",
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+            [
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+            [
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+              "fb41d71410ad8fb9c0da35a5ab0a6b782b9814bd7629737b710b7404648939cd",
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+            [
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+              "fb41d71410ad8fb9c0da35a5ab0a6b782b9814bd7629737b710b7404648939cd",
+              "sourceKBoundUses",
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+            ],
+            [
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+            [
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+              "fb41d71410ad8fb9c0da35a5ab0a6b782b9814bd7629737b710b7404648939cd",
+              "sourceKWeaken",
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+            [
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+              "fb41d71410ad8fb9c0da35a5ab0a6b782b9814bd7629737b710b7404648939cd",
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+            ],
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+            ],
+            [
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+              "fb41d71410ad8fb9c0da35a5ab0a6b782b9814bd7629737b710b7404648939cd",
+              "sourceKList",
+              "882282e1bbffcb3a37ebf69a1b8e02b143eb7f76c58e4ab37386c596f05fe2c4"
+            ],
+            [
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+              "fb41d71410ad8fb9c0da35a5ab0a6b782b9814bd7629737b710b7404648939cd",
+              "sourceKConvertApp",
+              "4e1db0f1fe842bf0bdc0c2dbb44ccf68869c97163f9abc996d0c74e683334bd4"
+            ],
+            [
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+              "fb41d71410ad8fb9c0da35a5ab0a6b782b9814bd7629737b710b7404648939cd",
+              "sourceKConvertLambdaPack",
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+            ],
+            [
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+              "sourceKConvertLambda",
+              "74acfd9c0c40c68d6272ede37c54997198909fa608c7889eccd32a2c88d86110"
+            ],
+            [
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+              "fb41d71410ad8fb9c0da35a5ab0a6b782b9814bd7629737b710b7404648939cd",
+              "sourceKConvertList",
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+            ],
+            [
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+              "fb41d71410ad8fb9c0da35a5ab0a6b782b9814bd7629737b710b7404648939cd",
+              "sourceKConvert_",
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+            [
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+          "receipt": "4b18be14e80d07d0f8698d4b8cbfba713c84d82386f8af01c1ec5f7a4ce40ed9",
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+            "sourceCoreLambdaKind": "b2e66bb188294cb57ae67cdd418be3484303e91289a163c98318c92d8174fa68",
+            "sourceCoreExternalKind": "7c3d441c44495695f6a7d8b2908089028cf9ec6a8804c893a4163836730e8bdd",
+            "sourceCoreNumberKind": "6190591b68c768f262d22f9118c2682c5529de6c8ef21255efc2f900f586717a",
+            "sourceCoreStringKind": "d69fed5ea86c1fba0f5e6787d0bf8718ada5a29f4fbc8ac20b30e322fe951f31",
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+            "sourceCoreLeaf": "5257d4147e76a60dbd342d9c560fac19f82b5e305112a03df9e5153128f8ba62",
+            "sourceCoreBound": "9378d0256d6676c8dc8793f7d7452f148f5cdec8fa872e2c38d551b90e4b7ba0",
+            "sourceCoreApply": "cac480540b3b0aa4423ab5636de74054927ce68f8e09880603c842c261a5ac56",
+            "sourceCoreLambda": "d00e314d24801f6279706365128c9b7993b28c8a5ab34e28ee788c236782091f",
+            "sourceCoreExternal": "2721f9cc63b8fb37fa9bab633980501f47adfc80d08b24649472b59fb5dd0ea7",
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+            "sourceCoreString": "3b06db4d2681efe5fa589dee63d16a83934c1009f571bae98d53721a455d76bd",
+            "sourceCoreList": "18a9f66fb84ab6658aa1f47c079c1d772fef531d1c19a1deb9628a6c5a2f04ee",
+            "sourceCoreWithSpan": "09da3c215b561c4f231753565710c31c0118f8bb1c0bef537db662527d5bb14b",
+            "sourceCoreFixI": "15f13aeab5531e917cb30154730ad17db4f423c0b92784be7fa1817cb4be2287",
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+            "sourceCoreFixWait": "ff3723a8245032617d8b8d6c9ceb49f304ed214cb0547faa0201252a2e4bd3c4",
+            "sourceCoreFixWaitSelf": "e8921961ceb205f4651062b434a43e253ae21953968e5a59b4e0a51dff78025d",
+            "sourceCoreFix": "d048dac09d2c20ffc845ba8fccf50fe3d9efdb3d2ef7c978093c6f17f905532f"
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+          "dependencies": [],
+          "pins": [
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+            [
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+              "83e1dc8052f806b19ebc737998bbdfff23211b23a6bbe2ae6adbede8ad1652a2",
+              "sourceCorePayload",
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+            ],
+            [
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+              "83e1dc8052f806b19ebc737998bbdfff23211b23a6bbe2ae6adbede8ad1652a2",
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+            ],
+            [
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+            ],
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+}
diff --git a/bench/binding-substitution-results.json b/bench/binding-substitution-results.json
@@ -0,0 +1,1318 @@
+{
+  "stage": "isolated-boolean-binding-substitution-candidate",
+  "git_head": "23e96a601e150ab79c6329246a0523d972a625e6",
+  "run": {
+    "complete": true,
+    "mode": "isolated-core-candidate-not-installed",
+    "runtime_sha256": "15517148463a5ee0d3d4cc26f80d2aa69807946a405237aeeb4f128fb237d5d6",
+    "compiler_sha256": "6b7b389d64af12d85b85598db69d7ff71cf3dcb991c584e17e0caec8bcb44c7b",
+    "harness_sha256": "86804624e591ab1ab96a647659a46e4f7afaafbbbabeb62c4010d2561ac1f932",
+    "analysis_oracle_sha256": "c73e1151a8c0b8bfae8d9560a0355ae03ba18e44a0e8d2175e319f8426fe24cd",
+    "fixture_ast_sha256": "837a85f323b3376b29751e0acf0e1b6801e356dc8339af2fbaacc6d241c976bb",
+    "sources": {
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+      "analysis.tri": "6fd758fb505312f69b4b7d8c6eb0f6de5f8e9e8064579194d37871775f204480",
+      "kernels.tri": "58b04ec37e82bfe7b8d3a6b42bb81307258ff0812a77f0fdac04b0f022b17db5",
+      "native_math.tri": "d699cce98f8779ff3d451d1be02687182243922fa622cedf5d4f6f9fe252102a",
+      "helpers.tri": "8b0caf4f89bcc2beb918407e06f7bc2e87ff4f2544e6278dc1860a88a5b2581e"
+    },
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+        "result_sha256": "dfdd145da42d5f0ea31bd7c00660bda33a9ab691872ade3c7788ebaf4f8b503b"
+      },
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+      },
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+      },
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+      },
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+      },
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+      },
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+      },
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+}
diff --git a/bench/binding-substitution.tri b/bench/binding-substitution.tri
@@ -0,0 +1,90 @@
+-- Isolated resolved-core substitution and Boolean-binding rewrite prototype.
+-- Trusted well-formed core only. Not wired into the accepted compiler.
+!import analysis as A
+!import native_math as N
+!import kernels as K
+!export *
+head = K.head
+tail = K.tail
+kind = A.kind
+payload = A.payload
+lazy = K.lazy
+choose = K.choose
+rebuild original value = t (kind original) (t value (tail (tail original)))
+withSpan original value = t (kind value) (t (payload value) (tail (tail original)))
+-- Positive de Bruijn shift. Local variables below cutoff are unchanged.
+shift amount cutoff node = lazy (_ : node)
+  (_ : case kind node of
+    2 = lazy (_ : rebuild node (N.add amount (payload node))) (_ : node) (N.gte (payload node) cutoff)
+    3 = let ab = payload node in rebuild node
+      (t (shift amount cutoff (head ab)) (shift amount cutoff (tail ab)))
+    4 = rebuild node (shift amount (N.successor cutoff) (payload node))
+    8 = rebuild node (K.map (child : shift amount cutoff child) (payload node))
+    _ = node) (N.zero amount)
+-- Remove one surrounding binder. RHS is in the outer scope, not that binder's.
+substitute rhs depth node = case kind node of
+  2 = lazy (_ : shift depth 0 rhs)
+    (_ : lazy (_ : rebuild node (N.predecessor (payload node))) (_ : node)
+      (N.gt (payload node) depth)) (N.equal (payload node) depth)
+  3 = let ab = payload node in rebuild node
+    (t (substitute rhs depth (head ab)) (substitute rhs depth (tail ab)))
+  4 = rebuild node (substitute rhs (N.successor depth) (payload node))
+  8 = rebuild node (K.map (child : substitute rhs depth child) (payload node))
+  _ = node
+containsLambda node = case kind node of
+  4 = t t
+  3 = let ab = payload node in K.either (containsLambda (head ab)) (containsLambda (tail ab))
+  8 = (let rec walk xs = K.triage t (_ : t t)
+        (a b : K.either (containsLambda a) (walk b)) xs in walk (payload node))
+  _ = t
+boolTree value = K.triage (t t) (child : N.zero child) (_ _ : t) value
+leafLiteral node = lazy (_ : t t)
+  (_ : lazy (_ : N.zero (payload node)) (_ : t) (N.equal (kind node) 5)) (N.equal (kind node) 1)
+-- Literal Boolean trees, including the core constructor spelling `t t`.
+boolLiteral node = case kind node of
+  1 = t t
+  5 = boolTree (payload node)
+  6 = boolTree (payload node)
+  3 = let ab = payload node in K.both (leafLiteral (head ab)) (leafLiteral (tail ab))
+  _ = t
+-- The literal identity is matched only when saturated with one argument.
+-- The harness authenticates the certificate's Boolean-result contract.
+booleanRhs negation node = lazy (_ : t t)
+  (_ : lazy
+    (_ : let ab = payload node in let fun = head ab in let arg = tail ab in
+      K.both (K.either (N.equal (kind arg) 2) (boolLiteral arg))
+        (K.both (N.equal (kind fun) 5) (A.equal (payload fun) negation)))
+    (_ : t) (N.equal (kind node) 3)) (boolLiteral node)
+-- Input node must be Apply (Lambda body) rhs. The screening certificate is
+-- still experimental, not a general proof for arbitrary reflective contexts.
+-- 0..6: analysis decisions; 7: uncertified RHS; 8: any nested body lambda;
+-- 9: not an immediate binding. Only decision 1 performs substitution.
+rewrite selector negation node = lazy
+  (_ : let ab = payload node in let fun = head ab in
+    lazy
+      (_ : let body = payload fun in let rhs = tail ab in
+        let decision = A.classify (A.analyze selector body) in
+        lazy
+          (_ : lazy (_ : t 7 node)
+            (_ : lazy (_ : t 8 node)
+              (_ : t 1 (withSpan node (substitute rhs 0 body))) (containsLambda body))
+            (K.not (booleanRhs negation rhs)))
+          (_ : t decision node) (N.equal decision 1))
+      (_ : t 9 node) (N.equal (kind fun) 4))
+  (_ : t 9 node) (N.equal (kind node) 3)
+-- Batch transport helpers for independent host oracles.
+shiftBatch inputs = K.map (x : let rest = tail x in shift (head x) (head rest) (tail rest)) inputs
+substituteBatch inputs = K.map (x : substitute (head x) 0 (tail x)) inputs
+rewriteBatch certificates nodes = K.map (node : rewrite (head certificates) (tail certificates) node) nodes
+-- Conservative whole-core traversal: an immediate binding is a decision unit.
+-- Rejected bindings are returned exactly, without rewriting their descendants.
+-- Accepted bindings are substituted once; no fixed-point rewrite loop.
+transform selector negation node = case kind node of
+  3 = let ab = payload node in
+    lazy (_ : tail (rewrite selector negation node))
+      (_ : rebuild node (t (transform selector negation (head ab))
+        (transform selector negation (tail ab)))) (N.equal (kind (head ab)) 4)
+  4 = rebuild node (transform selector negation (payload node))
+  8 = rebuild node (K.map (child : transform selector negation child) (payload node))
+  _ = node
+transformBatch certificates nodes = K.map (node : transform (head certificates) (tail certificates) node) nodes
diff --git a/bench/float-adder-results.json b/bench/float-adder-results.json
@@ -0,0 +1,3481 @@
+{
+  "stage": "adder-demand-and-binding-source-form",
+  "git_head": "23e96a601e150ab79c6329246a0523d972a625e6",
+  "run": {
+    "complete": true,
+    "runtime_sha256": "15517148463a5ee0d3d4cc26f80d2aa69807946a405237aeeb4f128fb237d5d6",
+    "compiler_sha256": "6b7b389d64af12d85b85598db69d7ff71cf3dcb991c584e17e0caec8bcb44c7b",
+    "harness_sha256": "d3db4257bef9994a73fd3893a73eab1b9c91bccdb75e4648760570fa5e6c5daf",
+    "runner_dependency_sha256": "f54ae048b7ba7706fe90ce82eab40a488f328f9faa43533bc852cb469d6a2edf",
+    "platform": "Linux-6.18.42-x86_64-with-glibc2.42",
+    "sources": {
+      "driver.tri": "9a7ae96256abab2bafac6301b72513535815159198d1951a55d581a1063359c6",
+      "multiply.tri": "7dbb45364149688e95b337b132790d5cb546ac72e0c1e4fa9a5063853829867b",
+      "pipelines.tri": "6daba69f8c252469dea0e799c2d7fca45b673a23508faf4a0f69e5c375a735bb",
+      "kernels.tri": "58b04ec37e82bfe7b8d3a6b42bb81307258ff0812a77f0fdac04b0f022b17db5",
+      "layouts.tri": "3e1ccc050fa4e803271f87505cdd141ded2cc7b0be367fa548aba2bbd86b9914",
+      "native_math.tri": "d699cce98f8779ff3d451d1be02687182243922fa622cedf5d4f6f9fe252102a"
+    },
+    "staged_driver_sha256": "6e2376eef230a311b92fa5e99c5b4fc7b5e9b9d6e2000df8fcaee9f6a75cab51",
+    "validation": [
+      {
+        "label": "check-nativeFull",
+        "input_sha256": "33b0364788af562ae10836731c265ff275e9cd82d968133e68f0669fd7b259a9",
+        "output_sha256": "bbe8ca8d5ec2704969821dc0ee03730cec120c4ec49d34d7e6dbe11d6a2a282b"
+      },
+      {
+        "label": "check-nativeLow",
+        "input_sha256": "33b0364788af562ae10836731c265ff275e9cd82d968133e68f0669fd7b259a9",
+        "output_sha256": "0b3fbb1681f35687fd8c8264d574c4914f2e3bdcbe67846135db5acea36e1bc1"
+      },
+      {
+        "label": "check-nativeNext",
+        "input_sha256": "33b0364788af562ae10836731c265ff275e9cd82d968133e68f0669fd7b259a9",
+        "output_sha256": "f69acee4a21f421ad5fb810708b927e2f4c551a33c555da484ea1195ef08d2d3"
+      },
+      {
+        "label": "check-originalMuxFull",
+        "input_sha256": "33b0364788af562ae10836731c265ff275e9cd82d968133e68f0669fd7b259a9",
+        "output_sha256": "bbe8ca8d5ec2704969821dc0ee03730cec120c4ec49d34d7e6dbe11d6a2a282b"
+      },
+      {
+        "label": "check-originalMuxLow",
+        "input_sha256": "33b0364788af562ae10836731c265ff275e9cd82d968133e68f0669fd7b259a9",
+        "output_sha256": "0b3fbb1681f35687fd8c8264d574c4914f2e3bdcbe67846135db5acea36e1bc1"
+      },
+      {
+        "label": "check-originalMuxNext",
+        "input_sha256": "33b0364788af562ae10836731c265ff275e9cd82d968133e68f0669fd7b259a9",
+        "output_sha256": "f69acee4a21f421ad5fb810708b927e2f4c551a33c555da484ea1195ef08d2d3"
+      },
+      {
+        "label": "check-orderedFull",
+        "input_sha256": "33b0364788af562ae10836731c265ff275e9cd82d968133e68f0669fd7b259a9",
+        "output_sha256": "bbe8ca8d5ec2704969821dc0ee03730cec120c4ec49d34d7e6dbe11d6a2a282b"
+      },
+      {
+        "label": "check-orderedLow",
+        "input_sha256": "33b0364788af562ae10836731c265ff275e9cd82d968133e68f0669fd7b259a9",
+        "output_sha256": "0b3fbb1681f35687fd8c8264d574c4914f2e3bdcbe67846135db5acea36e1bc1"
+      },
+      {
+        "label": "check-orderedNext",
+        "input_sha256": "33b0364788af562ae10836731c265ff275e9cd82d968133e68f0669fd7b259a9",
+        "output_sha256": "f69acee4a21f421ad5fb810708b927e2f4c551a33c555da484ea1195ef08d2d3"
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+}
diff --git a/bench/float-adders.tri b/bench/float-adders.tri
@@ -0,0 +1,42 @@
+-- Isolated full-adder/source-form experiment; no production changes.
+!import native_math as N
+!import kernels as K
+!import multiply as M
+!export *
+triage = K.triage
+lazy = K.lazy
+choose = K.choose
+head = K.head
+tail = K.tail
+map = K.map
+-- Ordered mux: when abit is zero, inspect carry BEFORE bbit, as native does.
+ordered a b carry = triage
+  (lazy (_ : N.successor b) (_ : b) carry)
+  (_ : t)
+  (abit ar : triage (lazy (_ : N.successor a) (_ : a) carry) (_ : t)
+    (bbit br : let neg = K.not carry in
+      t (choose (choose carry neg bbit) (choose neg carry bbit) abit)
+        (ordered ar br (choose (K.either bbit carry) (K.both carry bbit) abit))) b) a
+-- Same mux functions repeated inline instead of through a shared `neg` binding.
+inline a b carry = triage
+  (lazy (_ : N.successor b) (_ : b) carry)
+  (_ : t)
+  (abit ar : triage (lazy (_ : N.successor a) (_ : a) carry) (_ : t)
+    (bbit br : t (choose (choose carry (K.not carry) bbit) (choose (K.not carry) carry bbit) abit)
+      (inline ar br (choose (K.either bbit carry) (K.both carry bbit) abit))) b) a
+nativeAdd a b = N.add a b
+originalMuxAdd a b = M.addMux a b t
+orderedAdd a b = ordered a b t
+inlineAdd a b = inline a b t
+-- Retain native multiplication recurrence, replace only its adder.
+orderedMultiply a b = let rec
+  walk remaining = triage t (_ : t)
+    (bit rest : lazy (_ : ordered a (K.node t (walk rest)) t)
+      (_ : K.node t (walk rest)) bit) remaining
+  in walk b
+inlineMultiply a b = let rec
+  walk remaining = triage t (_ : t)
+    (bit rest : lazy (_ : inline a (K.node t (walk rest)) t)
+      (_ : K.node t (walk rest)) bit) remaining
+  in walk b
+spin x = spin x
diff --git a/bench/float-layout-results.json b/bench/float-layout-results.json
@@ -0,0 +1,1715 @@
+{
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+}
diff --git a/bench/float-layouts.tri b/bench/float-layouts.tri
@@ -0,0 +1,89 @@
+-- Investigation only: binary64 bit containers, NOT floating-point arithmetic.
+-- Fields are (Boolean sign, (biased exponent, raw 52-bit fraction)).
+!import native_math as N
+!export *
+triage leaf stem fork = t (t leaf stem) fork
+choose yes no value = triage no (_ : yes) (_ _ : yes) value
+head value = triage t (_ : t) (a _ : a) value
+tail value = triage t (_ : t) (_ b : b) value
+map f xs = triage t (_ : t) (a b : t (f a) (map f b)) xs
+-- Fixed shifts avoid a numeric loop counter on field-access paths.
+drop1 = tail
+drop2 x = drop1 (drop1 x)
+drop4 x = drop2 (drop2 x)
+drop8 x = drop4 (drop4 x)
+drop16 x = drop8 (drop8 x)
+drop32 x = drop16 (drop16 x)
+drop52 x = drop4 (drop16 (drop32 x))
+drop11 x = drop1 (drop2 (drop8 x))
+-- Canonical low-bit extraction, including all-zero fields.
+node bit rest = choose (t bit rest) (choose t (t bit rest) (N.zero rest)) bit
+takeBits count value = choose t (triage t (_ : t)
+  (bit rest : node bit (takeBits (N.predecessor count) rest)) value) (N.zero count)
+-- Splice exactly k low bits onto a canonical high part, zero-extending low.
+join1 low high = node (head low) high
+join2 low high = join1 low (join1 (drop1 low) high)
+join4 low high = join2 low (join2 (drop2 low) high)
+join8 low high = join4 low (join4 (drop4 low) high)
+join16 low high = join8 low (join8 (drop8 low) high)
+join32 low high = join16 low (join16 (drop16 low) high)
+low7 x = join4 x (join2 (drop4 x) (join1 (drop2 (drop4 x)) t))
+low11 x = join8 x (join2 (drop8 x) (join1 (drop2 (drop8 x)) t))
+low20 x = join16 x (join4 (drop16 x) t)
+low52 x = join32 x (join16 (drop32 x) (join4 (drop16 (drop32 x)) t))
+fieldsSign x = head x
+fieldsExponent x = head (tail x)
+fieldsUnpack x = x
+packedSign x = N.odd (drop11 (drop52 x))
+packedExponent x = takeBits 11 (drop52 x)
+packedUnpack x = t (packedSign x) (t (packedExponent x) (takeBits 52 x))
+packedFastExponent x = low11 (drop52 x)
+packedFastUnpack x = let upper = drop52 x in
+  t (N.odd (drop11 upper)) (t (low11 upper) (low52 x))
+-- Pair of natural low/high 32-bit words.
+wordsSign x = N.odd (drop11 (drop4 (drop16 (tail x))))
+wordsExponent x = takeBits 11 (drop4 (drop16 (tail x)))
+wordsUnpack x = t (wordsSign x) (t (wordsExponent x)
+  (N.add (head x) (N.multiply 4294967296 (takeBits 20 (tail x)))))
+wordsFastExponent x = low11 (drop4 (drop16 (tail x)))
+wordsFastUnpack x = t (wordsSign x) (t (wordsFastExponent x)
+  (join32 (head x) (low20 (tail x))))
+-- Proper list of eight canonical octets, little endian.
+byte6 x = head (tail (tail (drop4 x)))
+byte7 x = head (tail (tail (tail (drop4 x))))
+bytesSign x = N.odd (drop1 (drop2 (drop4 (byte7 x))))
+bytesExponent x = N.add (drop4 (byte6 x)) (N.multiply 16 (takeBits 7 (byte7 x)))
+bytesNatural xs = triage t (_ : t)
+  (a b : N.add a (N.multiply 256 (bytesNatural b))) xs
+bytesUnpack x = packedUnpack (bytesNatural x)
+bytesFastExponent x = join4 (drop4 (byte6 x)) (low7 (byte7 x))
+-- Reconstruct only the fraction bytes, not the entire packed value.
+bytesFraction6 x = join8 (head x) (join8 (head (tail x))
+  (join8 (head (drop2 x)) (join8 (head (tail (drop2 x)))
+  (join8 (head (drop4 x)) (join8 (head (tail (drop4 x)))
+  (join4 (byte6 x) t))))))
+bytesFastUnpack x = t (bytesSign x) (t (bytesFastExponent x) (bytesFraction6 x))
+fieldSigns xs = map fieldsSign xs
+fieldExponents xs = map fieldsExponent xs
+fieldUnpacks xs = map fieldsUnpack xs
+packedSigns xs = map packedSign xs
+packedExponents xs = map packedExponent xs
+packedUnpacks xs = map packedUnpack xs
+wordSigns xs = map wordsSign xs
+wordExponents xs = map wordsExponent xs
+wordUnpacks xs = map wordsUnpack xs
+byteSigns xs = map bytesSign xs
+byteExponents xs = map bytesExponent xs
+byteUnpacks xs = map bytesUnpack xs
+packedFastExponents xs = map packedFastExponent xs
+packedFastUnpacks xs = map packedFastUnpack xs
+wordFastExponents xs = map wordsFastExponent xs
+wordFastUnpacks xs = map wordsFastUnpack xs
+byteFastExponents xs = map bytesFastExponent xs
+byteFastUnpacks xs = map bytesFastUnpack xs
+-- Bottom sentinels: a sign projection must not inspect unrelated fields.
+spin x = spin x
+fieldDemand x = fieldsSign (t (t t) (spin x))
+wordDemand x = wordsSign (t (spin x) 2147483648)
+-- Consumer baseline, same result shape as the sign workloads.
+constantSigns xs = map (_ : t t) xs
diff --git a/bench/float-multiply-results.json b/bench/float-multiply-results.json
@@ -0,0 +1,9895 @@
+{
+  "stage": "multiply-work-source-form-and-demand",
+  "git_head": "23e96a601e150ab79c6329246a0523d972a625e6",
+  "compiler_source_inspection": {
+    "source_compile": {
+      "current_sha256": "4dd88a4913b4626a477271cb418eaef18bf111911d5b75948578081fdcca9a10",
+      "accepted_sha256": "4dd88a4913b4626a477271cb418eaef18bf111911d5b75948578081fdcca9a10",
+      "matches_accepted": true
+    },
+    "source_core": {
+      "current_sha256": "e02551d80ad22cbb6cc34c599b77c5c0e686109ec8a7a3f69513359a2d7ea897",
+      "accepted_sha256": "e02551d80ad22cbb6cc34c599b77c5c0e686109ec8a7a3f69513359a2d7ea897",
+      "matches_accepted": true
+    },
+    "source_stable": {
+      "current_sha256": "d3acb1c68ded43f3c9a897b1627bfdb63efb6bb7e9281a278692a39b22f0fc8d",
+      "accepted_sha256": "d3acb1c68ded43f3c9a897b1627bfdb63efb6bb7e9281a278692a39b22f0fc8d",
+      "matches_accepted": true
+    }
+  },
+  "run": {
+    "complete": true,
+    "scope": "fresh-process-invoke-through-full-force",
+    "runtime_sha256": "15517148463a5ee0d3d4cc26f80d2aa69807946a405237aeeb4f128fb237d5d6",
+    "harness_sha256": "f54ae048b7ba7706fe90ce82eab40a488f328f9faa43533bc852cb469d6a2edf",
+    "oracle_dependency_sha256": "45b5624aac2736cd5b89958de9446e5c1e10679cd09414a173ae946a94a32445",
+    "compiler_sha256": "6b7b389d64af12d85b85598db69d7ff71cf3dcb991c584e17e0caec8bcb44c7b",
+    "reducer_sha256": "6051ca7d8f345eb208ff6cb7f218e933756f6227469f0299bc4836ec14d6805d",
+    "platform": "Linux-6.18.42-x86_64-with-glibc2.42",
+    "sources": {
+      "driver.tri": "7dbb45364149688e95b337b132790d5cb546ac72e0c1e4fa9a5063853829867b",
+      "pipelines.tri": "6daba69f8c252469dea0e799c2d7fca45b673a23508faf4a0f69e5c375a735bb",
+      "kernels.tri": "58b04ec37e82bfe7b8d3a6b42bb81307258ff0812a77f0fdac04b0f022b17db5",
+      "layouts.tri": "3e1ccc050fa4e803271f87505cdd141ded2cc7b0be367fa548aba2bbd86b9914",
+      "native_math.tri": "d699cce98f8779ff3d451d1be02687182243922fa622cedf5d4f6f9fe252102a"
+    },
+    "staged_driver_sha256": "7b92087babd432767b7057126d63a8a3a123fdfebce063b3a46e4583974a3452",
+    "validation": [
+      {
+        "label": "check-nativeExact-0",
+        "input_sha256": "ded101b1df0156f04aff195586b3793e390d6d0e5e3236e66c943252cf57ade0",
+        "output_sha256": "6450e13ddeea1e830617b3ce9a42771a7748d91a53b9f8178f9d6a2c288b95e3"
+      },
+      {
+        "label": "check-nativeExact-48",
+        "input_sha256": "da4f49072d113ea1a67f02ad58d44fa3412332d9dd875a9c5b04884d9361669f",
+        "output_sha256": "d493689f2005523a71a2c0f1394ca85ebacdd07fe6b1b8af254571bcf2cfe29e"
+      },
+      {
+        "label": "check-nativeExact-96",
+        "input_sha256": "c6a2b004bea8bf3247b6f1c2f1f140063ecddbf6b17a7b4ad7ace23947769371",
+        "output_sha256": "79f30a4e8fb3acaa972f152ebbe5f7652a43fa25620f0c74d6e3e731a5044987"
+      },
+      {
+        "label": "check-nativeExact-144",
+        "input_sha256": "1a1e5c970f5c790529b931f3611cf3e31d25d78c2a627706cbac6ee20763b510",
+        "output_sha256": "048918511ac7734b2904a20f0f99e7a787897338352f9669dac918f4a8e093c4"
+      },
+      {
+        "label": "check-nativeExact-192",
+        "input_sha256": "ae1140afbb7314f0942177eb5435ce4e3c4b125dee48ec71d38d872dfd986062",
+        "output_sha256": "6f7b96ae3c907097a6d990594206c61b5caeeca505a40520ae6cf9bf4b9ca07c"
+      },
+      {
+        "label": "check-nativeExact-240",
+        "input_sha256": "c76b804245cbb53122c28f389ed79efd8c33cf94321244f71e0be6a1d852751a",
+        "output_sha256": "f24639e339c3cb41fe94becdde79b381b0352290541e37687b71b8276c6369ef"
+      },
+      {
+        "label": "check-nativeExact-288",
+        "input_sha256": "389abc7a28f3fce8ec6ac4219ee7c03e226045baa19f459705b72c70c6a02a28",
+        "output_sha256": "8ab89ff5b7fa9ad237c29bda7219a7057fd1808cd95d7448f577473dc1be549c"
+      },
+      {
+        "label": "check-nativeExact-336",
+        "input_sha256": "1994eede7b461ed3fc06f28a013012680b6c4a47ab1237edad650fdba0e91da3",
+        "output_sha256": "61b6ff3ecbdc89544f5d84a359a97ff5ef27fa398a9d4b77c7a8ebe122cf7589"
+      },
+      {
+        "label": "check-nativeRounded-0",
+        "input_sha256": "ded101b1df0156f04aff195586b3793e390d6d0e5e3236e66c943252cf57ade0",
+        "output_sha256": "36bbc4763af5b43d6946b16960450807d5591bd9df870f5ab966eeb08e47dffa"
+      },
+      {
+        "label": "check-nativeRounded-48",
+        "input_sha256": "da4f49072d113ea1a67f02ad58d44fa3412332d9dd875a9c5b04884d9361669f",
+        "output_sha256": "051a58541da3e1b1571d1566179a250069ba6f95dd2baecb6b71f7053220cd1a"
+      },
+      {
+        "label": "check-nativeRounded-96",
+        "input_sha256": "c6a2b004bea8bf3247b6f1c2f1f140063ecddbf6b17a7b4ad7ace23947769371",
+        "output_sha256": "b86fa9572ae62031cbb13efb68cbca229206de04d49a7e4740ceaa19f7a4aad9"
+      },
+      {
+        "label": "check-nativeRounded-144",
+        "input_sha256": "1a1e5c970f5c790529b931f3611cf3e31d25d78c2a627706cbac6ee20763b510",
+        "output_sha256": "a9e59c0a9e85f70b87769951641be1b9a1a96bde99d322a4dd07181353b4e2fa"
+      },
+      {
+        "label": "check-nativeRounded-192",
+        "input_sha256": "ae1140afbb7314f0942177eb5435ce4e3c4b125dee48ec71d38d872dfd986062",
+        "output_sha256": "87bc201ac6ee0fa1d5b4c7ff9fe6ec7fa3ff8e7056ec7db2fea6097b6ca5a99f"
+      },
+      {
+        "label": "check-nativeRounded-240",
+        "input_sha256": "c76b804245cbb53122c28f389ed79efd8c33cf94321244f71e0be6a1d852751a",
+        "output_sha256": "5a9526ad93ac486d450aea6f22b998287c856eb5ac28623f2b3745fe3b781266"
+      },
+      {
+        "label": "check-nativeRounded-288",
+        "input_sha256": "389abc7a28f3fce8ec6ac4219ee7c03e226045baa19f459705b72c70c6a02a28",
+        "output_sha256": "ca5323bd0080c832253d1aefc5bcbeaf9d0b618ededb4bd487a164ae8c4698bc"
+      },
+      {
+        "label": "check-nativeRounded-336",
+        "input_sha256": "1994eede7b461ed3fc06f28a013012680b6c4a47ab1237edad650fdba0e91da3",
+        "output_sha256": "3c581b5ba8b76fca2024c8c7012482a157bee466a685a198c826d11a6e87ef76"
+      },
+      {
+        "label": "check-hoistedExact-0",
+        "input_sha256": "ded101b1df0156f04aff195586b3793e390d6d0e5e3236e66c943252cf57ade0",
+        "output_sha256": "6450e13ddeea1e830617b3ce9a42771a7748d91a53b9f8178f9d6a2c288b95e3"
+      },
+      {
+        "label": "check-hoistedExact-48",
+        "input_sha256": "da4f49072d113ea1a67f02ad58d44fa3412332d9dd875a9c5b04884d9361669f",
+        "output_sha256": "d493689f2005523a71a2c0f1394ca85ebacdd07fe6b1b8af254571bcf2cfe29e"
+      },
+      {
+        "label": "check-hoistedExact-96",
+        "input_sha256": "c6a2b004bea8bf3247b6f1c2f1f140063ecddbf6b17a7b4ad7ace23947769371",
+        "output_sha256": "79f30a4e8fb3acaa972f152ebbe5f7652a43fa25620f0c74d6e3e731a5044987"
+      },
+      {
+        "label": "check-hoistedExact-144",
+        "input_sha256": "1a1e5c970f5c790529b931f3611cf3e31d25d78c2a627706cbac6ee20763b510",
+        "output_sha256": "048918511ac7734b2904a20f0f99e7a787897338352f9669dac918f4a8e093c4"
+      },
+      {
+        "label": "check-hoistedExact-192",
+        "input_sha256": "ae1140afbb7314f0942177eb5435ce4e3c4b125dee48ec71d38d872dfd986062",
+        "output_sha256": "6f7b96ae3c907097a6d990594206c61b5caeeca505a40520ae6cf9bf4b9ca07c"
+      },
+      {
+        "label": "check-hoistedExact-240",
+        "input_sha256": "c76b804245cbb53122c28f389ed79efd8c33cf94321244f71e0be6a1d852751a",
+        "output_sha256": "f24639e339c3cb41fe94becdde79b381b0352290541e37687b71b8276c6369ef"
+      },
+      {
+        "label": "check-hoistedExact-288",
+        "input_sha256": "389abc7a28f3fce8ec6ac4219ee7c03e226045baa19f459705b72c70c6a02a28",
+        "output_sha256": "8ab89ff5b7fa9ad237c29bda7219a7057fd1808cd95d7448f577473dc1be549c"
+      },
+      {
+        "label": "check-hoistedExact-336",
+        "input_sha256": "1994eede7b461ed3fc06f28a013012680b6c4a47ab1237edad650fdba0e91da3",
+        "output_sha256": "61b6ff3ecbdc89544f5d84a359a97ff5ef27fa398a9d4b77c7a8ebe122cf7589"
+      },
+      {
+        "label": "check-hoistedRounded-0",
+        "input_sha256": "ded101b1df0156f04aff195586b3793e390d6d0e5e3236e66c943252cf57ade0",
+        "output_sha256": "36bbc4763af5b43d6946b16960450807d5591bd9df870f5ab966eeb08e47dffa"
+      },
+      {
+        "label": "check-hoistedRounded-48",
+        "input_sha256": "da4f49072d113ea1a67f02ad58d44fa3412332d9dd875a9c5b04884d9361669f",
+        "output_sha256": "051a58541da3e1b1571d1566179a250069ba6f95dd2baecb6b71f7053220cd1a"
+      },
+      {
+        "label": "check-hoistedRounded-96",
+        "input_sha256": "c6a2b004bea8bf3247b6f1c2f1f140063ecddbf6b17a7b4ad7ace23947769371",
+        "output_sha256": "b86fa9572ae62031cbb13efb68cbca229206de04d49a7e4740ceaa19f7a4aad9"
+      },
+      {
+        "label": "check-hoistedRounded-144",
+        "input_sha256": "1a1e5c970f5c790529b931f3611cf3e31d25d78c2a627706cbac6ee20763b510",
+        "output_sha256": "a9e59c0a9e85f70b87769951641be1b9a1a96bde99d322a4dd07181353b4e2fa"
+      },
+      {
+        "label": "check-hoistedRounded-192",
+        "input_sha256": "ae1140afbb7314f0942177eb5435ce4e3c4b125dee48ec71d38d872dfd986062",
+        "output_sha256": "87bc201ac6ee0fa1d5b4c7ff9fe6ec7fa3ff8e7056ec7db2fea6097b6ca5a99f"
+      },
+      {
+        "label": "check-hoistedRounded-240",
+        "input_sha256": "c76b804245cbb53122c28f389ed79efd8c33cf94321244f71e0be6a1d852751a",
+        "output_sha256": "5a9526ad93ac486d450aea6f22b998287c856eb5ac28623f2b3745fe3b781266"
+      },
+      {
+        "label": "check-hoistedRounded-288",
+        "input_sha256": "389abc7a28f3fce8ec6ac4219ee7c03e226045baa19f459705b72c70c6a02a28",
+        "output_sha256": "ca5323bd0080c832253d1aefc5bcbeaf9d0b618ededb4bd487a164ae8c4698bc"
+      },
+      {
+        "label": "check-hoistedRounded-336",
+        "input_sha256": "1994eede7b461ed3fc06f28a013012680b6c4a47ab1237edad650fdba0e91da3",
+        "output_sha256": "3c581b5ba8b76fca2024c8c7012482a157bee466a685a198c826d11a6e87ef76"
+      },
+      {
+        "label": "check-topBitExact-0",
+        "input_sha256": "ded101b1df0156f04aff195586b3793e390d6d0e5e3236e66c943252cf57ade0",
+        "output_sha256": "6450e13ddeea1e830617b3ce9a42771a7748d91a53b9f8178f9d6a2c288b95e3"
+      },
+      {
+        "label": "check-topBitExact-48",
+        "input_sha256": "da4f49072d113ea1a67f02ad58d44fa3412332d9dd875a9c5b04884d9361669f",
+        "output_sha256": "d493689f2005523a71a2c0f1394ca85ebacdd07fe6b1b8af254571bcf2cfe29e"
+      },
+      {
+        "label": "check-topBitExact-96",
+        "input_sha256": "c6a2b004bea8bf3247b6f1c2f1f140063ecddbf6b17a7b4ad7ace23947769371",
+        "output_sha256": "79f30a4e8fb3acaa972f152ebbe5f7652a43fa25620f0c74d6e3e731a5044987"
+      },
+      {
+        "label": "check-topBitExact-144",
+        "input_sha256": "1a1e5c970f5c790529b931f3611cf3e31d25d78c2a627706cbac6ee20763b510",
+        "output_sha256": "048918511ac7734b2904a20f0f99e7a787897338352f9669dac918f4a8e093c4"
+      },
+      {
+        "label": "check-topBitExact-192",
+        "input_sha256": "ae1140afbb7314f0942177eb5435ce4e3c4b125dee48ec71d38d872dfd986062",
+        "output_sha256": "6f7b96ae3c907097a6d990594206c61b5caeeca505a40520ae6cf9bf4b9ca07c"
+      },
+      {
+        "label": "check-topBitExact-240",
+        "input_sha256": "c76b804245cbb53122c28f389ed79efd8c33cf94321244f71e0be6a1d852751a",
+        "output_sha256": "f24639e339c3cb41fe94becdde79b381b0352290541e37687b71b8276c6369ef"
+      },
+      {
+        "label": "check-topBitExact-288",
+        "input_sha256": "389abc7a28f3fce8ec6ac4219ee7c03e226045baa19f459705b72c70c6a02a28",
+        "output_sha256": "8ab89ff5b7fa9ad237c29bda7219a7057fd1808cd95d7448f577473dc1be549c"
+      },
+      {
+        "label": "check-topBitExact-336",
+        "input_sha256": "1994eede7b461ed3fc06f28a013012680b6c4a47ab1237edad650fdba0e91da3",
+        "output_sha256": "61b6ff3ecbdc89544f5d84a359a97ff5ef27fa398a9d4b77c7a8ebe122cf7589"
+      },
+      {
+        "label": "check-topBitRounded-0",
+        "input_sha256": "ded101b1df0156f04aff195586b3793e390d6d0e5e3236e66c943252cf57ade0",
+        "output_sha256": "36bbc4763af5b43d6946b16960450807d5591bd9df870f5ab966eeb08e47dffa"
+      },
+      {
+        "label": "check-topBitRounded-48",
+        "input_sha256": "da4f49072d113ea1a67f02ad58d44fa3412332d9dd875a9c5b04884d9361669f",
+        "output_sha256": "051a58541da3e1b1571d1566179a250069ba6f95dd2baecb6b71f7053220cd1a"
+      },
+      {
+        "label": "check-topBitRounded-96",
+        "input_sha256": "c6a2b004bea8bf3247b6f1c2f1f140063ecddbf6b17a7b4ad7ace23947769371",
+        "output_sha256": "b86fa9572ae62031cbb13efb68cbca229206de04d49a7e4740ceaa19f7a4aad9"
+      },
+      {
+        "label": "check-topBitRounded-144",
+        "input_sha256": "1a1e5c970f5c790529b931f3611cf3e31d25d78c2a627706cbac6ee20763b510",
+        "output_sha256": "a9e59c0a9e85f70b87769951641be1b9a1a96bde99d322a4dd07181353b4e2fa"
+      },
+      {
+        "label": "check-topBitRounded-192",
+        "input_sha256": "ae1140afbb7314f0942177eb5435ce4e3c4b125dee48ec71d38d872dfd986062",
+        "output_sha256": "87bc201ac6ee0fa1d5b4c7ff9fe6ec7fa3ff8e7056ec7db2fea6097b6ca5a99f"
+      },
+      {
+        "label": "check-topBitRounded-240",
+        "input_sha256": "c76b804245cbb53122c28f389ed79efd8c33cf94321244f71e0be6a1d852751a",
+        "output_sha256": "5a9526ad93ac486d450aea6f22b998287c856eb5ac28623f2b3745fe3b781266"
+      },
+      {
+        "label": "check-topBitRounded-288",
+        "input_sha256": "389abc7a28f3fce8ec6ac4219ee7c03e226045baa19f459705b72c70c6a02a28",
+        "output_sha256": "ca5323bd0080c832253d1aefc5bcbeaf9d0b618ededb4bd487a164ae8c4698bc"
+      },
+      {
+        "label": "check-topBitRounded-336",
+        "input_sha256": "1994eede7b461ed3fc06f28a013012680b6c4a47ab1237edad650fdba0e91da3",
+        "output_sha256": "3c581b5ba8b76fca2024c8c7012482a157bee466a685a198c826d11a6e87ef76"
+      },
+      {
+        "label": "check-fusedExact-0",
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+      {
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+      {
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+      },
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+  }
+}
diff --git a/bench/float-multiply.tri b/bench/float-multiply.tri
@@ -0,0 +1,78 @@
+-- Multiplication algorithm / source-form investigation. Reducer unchanged.
+!import native_math as N
+!import kernels as K
+!import layouts as L
+!import pipelines as P
+!export *
+triage = K.triage
+lazy = K.lazy
+choose = K.choose
+head = K.head
+tail = K.tail
+map = K.map
+node = K.node
+double x = node t x
+native = N.multiply
+-- Same recurrence as native, but recursive state explicitly includes a.
+hoisted a b = triage t (_ : t)
+  (bit rest : lazy (_ : N.add a (double (hoisted a rest)))
+    (_ : double (hoisted a rest)) bit) b
+-- Highest represented bit is 1 on canonical naturals: return a directly.
+topBit a b = triage t (_ : t)
+  (bit rest : lazy (_ : a)
+    (_ : lazy (_ : N.add a (double (topBit a rest)))
+      (_ : double (topBit a rest)) bit) (N.zero rest)) b
+-- a + 2*p: the low result bit is a's low bit; no carry exists in column zero.
+addShift a partial = node (head a) (N.add (tail a) partial)
+fused a b = triage t (_ : t)
+  (bit rest : lazy (_ : a)
+    (_ : lazy (_ : addShift a (fused a rest))
+      (_ : double (fused a rest)) bit) (N.zero rest)) b
+-- Positive a permits noncanonical-zero checks to be omitted from shifts.
+-- Intended ONLY for positive finite canonical a; b may be zero.
+positive a b = triage t (_ : t)
+  (bit rest : lazy (_ : a)
+    (_ : lazy (_ : t (head a) (N.add (tail a) (positive a rest)))
+      (_ : t t (positive a rest)) bit) (N.zero rest)) b
+-- Alternative evaluation direction; explicit state instead of a Horner suffix.
+accumulate a b = accumulateWalk a b 0
+accumulateWalk factor remaining acc = triage acc (_ : acc)
+  (bit rest : accumulateWalk (double factor) rest (choose (N.add acc factor) acc bit)) remaining
+low26 x = L.join16 x (L.join8 (L.drop16 x) (L.join2 (L.drop8 (L.drop16 x)) t))
+drop26 x = L.drop2 (L.drop8 (L.drop16 x))
+shift26 x = L.join16 t (L.join8 t (L.join2 t x))
+shift52 x = shift26 (shift26 x)
+-- One Karatsuba split, with native schoolbook leaf products.
+karatsuba a b = lazy (_ : 0)
+  (_ : let al = low26 a in let ah = drop26 a in
+    let bl = low26 b in let bh = drop26 b in
+    let low = N.multiply al bl in let high = N.multiply ah bh in
+    let middle = N.subtract (N.subtract (N.multiply (N.add al ah) (N.add bl bh)) low) high in
+    N.add low (N.add (shift26 middle) (shift52 high))) (N.zero b)
+-- Normalized 53-bit operands imply a 105- or 106-bit exact product.
+-- Exploit that invariant for final rounding without a product-width walk.
+finish53 product = let cut = choose 53 52 (N.odd (L.drop1 (L.drop52 (L.drop52 product)))) in
+  let rounded = K.roundL cut product in let m = head rounded in
+  lazy (_ : t (N.successor cut) (t (tail m) (tail rounded)))
+    (_ : t cut rounded) (N.odd (L.drop1 (L.drop52 m)))
+spin x = spin x
+-- Full-adder Boolean functions expressed as selection on the first bit.
+-- Same bit-level recurrence, without assuming a host word primitive.
+addMux a b carry = triage
+  (lazy (_ : N.successor b) (_ : b) carry)
+  (_ : t)
+  (abit ar : triage (lazy (_ : N.successor a) (_ : a) carry) (_ : t)
+    (bbit br : let neg = K.not carry in
+      t (choose (choose carry neg bbit) (choose neg carry bbit) abit)
+        (addMux ar br (choose (K.either bbit carry) (K.both bbit carry) abit))) b) a
+mux a b = let rec
+  walk remaining = triage t (_ : t)
+    (bit rest : lazy (_ : addMux a (double (walk rest)) t)
+      (_ : double (walk rest)) bit) remaining
+  in walk b
+-- Finite-input-only scheduling experiment: choose the sparser multiplier.
+-- Computing popcounts intentionally inspects more input than native does.
+popcount x = triage 0 (_ : 0)
+  (bit rest : choose (N.successor (popcount rest)) (popcount rest) bit) x
+adaptive a b = lazy (_ : 0)
+  (_ : lazy (_ : N.multiply b a) (_ : N.multiply a b) (N.lt (popcount a) (popcount b))) (N.zero b)
diff --git a/bench/float-pipeline-results.json b/bench/float-pipeline-results.json
@@ -0,0 +1,3868 @@
+{
+  "stage": "radix256-and-rounded-significand-pipelines",
+  "git_head": "23e96a601e150ab79c6329246a0523d972a625e6",
+  "reducer_sha256": "6051ca7d8f345eb208ff6cb7f218e933756f6227469f0299bc4836ec14d6805d",
+  "run": {
+    "complete": true,
+    "scope": "fresh-process-invoke-through-full-force",
+    "runtime_sha256": "15517148463a5ee0d3d4cc26f80d2aa69807946a405237aeeb4f128fb237d5d6",
+    "harness_sha256": "45b5624aac2736cd5b89958de9446e5c1e10679cd09414a173ae946a94a32445",
+    "oracle_dependency_sha256": "6ef5e8245fc6ddd798b85084291b65a0c57cd61adbcd25a226cd4aac520d1582",
+    "compiler_sha256": "6b7b389d64af12d85b85598db69d7ff71cf3dcb991c584e17e0caec8bcb44c7b",
+    "platform": "Linux-6.18.42-x86_64-with-glibc2.42",
+    "sources": {
+      "driver.tri": "6daba69f8c252469dea0e799c2d7fca45b673a23508faf4a0f69e5c375a735bb",
+      "kernels.tri": "58b04ec37e82bfe7b8d3a6b42bb81307258ff0812a77f0fdac04b0f022b17db5",
+      "layouts.tri": "3e1ccc050fa4e803271f87505cdd141ded2cc7b0be367fa548aba2bbd86b9914",
+      "native_math.tri": "d699cce98f8779ff3d451d1be02687182243922fa622cedf5d4f6f9fe252102a"
+    },
+    "validation": [
+      {
+        "label": "check-limbShift-0",
+        "input_sha256": "de412ee679945c23b0584d20cbebba99bc105f32ffb02ec0c06da477dce69361",
+        "output_sha256": "ef5e0f3173ddc82fb56ad27d1027ed9870d8bf8b15f9cf1cd46239fe714b3ce2"
+      },
+      {
+        "label": "check-limbRound-0",
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+}
diff --git a/bench/float-pipelines.tri b/bench/float-pipelines.tri
@@ -0,0 +1,136 @@
+-- Experimental natural significand pipelines. No binary64 sign/exponent policy.
+!import native_math as N
+!import kernels as K
+!import layouts as L
+!export *
+triage leaf stem fork = t (t leaf stem) fork
+choose = K.choose
+lazy = K.lazy
+head = K.head
+tail = K.tail
+map = K.map
+either = K.either
+both = K.both
+not = K.not
+-- Radix 256, least-significant canonical octet first; empty zero.
+-- Only the highest limb must be nonzero. Individual octets have no high padding.
+consLimb bit rest = lazy (_ : choose t (t bit rest) (N.zero rest)) (_ : t bit rest) (N.zero bit)
+low8 x = L.join8 x t
+fromNatural x = triage t (_ : t) (_ _ : t (low8 x) (fromNatural (L.drop8 x))) x
+toNatural xs = triage t (_ : t) (a b : L.join8 a (toNatural b)) xs
+increment xs = triage (t 1 t) (_ : t 1 t)
+  (a b : lazy (_ : t 0 (increment b)) (_ : t (N.successor a) b) (N.equal a 255)) xs
+addCarry a b carry = triage
+  (lazy (_ : increment b) (_ : b) carry)
+  (_ : b)
+  (av ar : triage (lazy (_ : increment a) (_ : a) carry) (_ : a)
+    (bv br : let total = N.add (N.add av bv) (choose 1 0 carry) in
+      t (low8 total) (addCarry ar br (N.odd (L.drop8 total)))) b) a
+add a b = addCarry a b t
+-- Subtraction requires a >= b. Canonicalize high zero limbs while rebuilding.
+subtractBorrow a b borrow = triage t (_ : t)
+  (av ar : let bv = N.add (head b) (choose 1 0 borrow) in
+    let under = N.lt av bv in
+    consLimb (N.subtract (choose (N.add 256 av) av under) bv)
+      (subtractBorrow ar (tail b) under)) a
+subtract a b = subtractBorrow a b t
+multiplyDigit digit xs carry = triage (fromNatural carry) (_ : fromNatural carry)
+  (a b : let total = N.add (N.multiply digit a) carry in
+    consLimb (low8 total) (multiplyDigit digit b (L.drop8 total))) xs
+multiply a b = triage t (_ : t)
+  (digit rest : add (multiplyDigit digit a 0) (consLimb 0 (multiply a rest))) b
+-- Width only traverses the limb spine plus the highest octet's bit spine.
+width xs = triage 0 (_ : 0)
+  (a b : lazy (_ : K.width a) (_ : N.add 8 (width b)) (N.zero b)) xs
+-- Consume whole limbs first, stopping at the end even for enormous counts.
+dropLimbs count xs sticky = lazy (_ : t xs sticky)
+  (_ : triage (t t sticky) (_ : t t sticky)
+    (a b : dropLimbs (N.predecessor count) b (either sticky (not (N.zero a)))) xs) (N.zero count)
+shiftLeft count n = lazy (_ : n)
+  (_ : K.node t (shiftLeft (N.predecessor count) n)) (N.zero count)
+-- Residual shift is 1..7 (also used with 1 for the guard bit).
+shiftResidual count xs = triage t (_ : t)
+  (a b : let lower = head (K.shiftL count a) in
+    let upper = L.takeBits count (head b) in
+    consLimb (N.add lower (shiftLeft (N.subtract 8 count) upper))
+      (shiftResidual count b)) xs
+shift count xs = let whole = L.drop1 (L.drop2 count) in
+  let residual = L.join2 count (L.join1 (L.drop2 count) t) in
+  let dropped = dropLimbs whole xs t in
+  lazy (_ : dropped)
+    (_ : let rest = head dropped in
+      t (shiftResidual residual rest)
+        (either (tail dropped) (not (N.zero (L.takeBits residual (head rest)))))) (N.zero residual)
+roundSplit count xs = lazy (_ : t xs t)
+  (_ : let split = shift (N.predecessor count) xs in let rest = head split in
+    let guard = N.odd (head rest) in let quotient = shiftResidual 1 rest in
+    t (choose (increment quotient) quotient (both guard (either (tail split) (N.odd (head quotient)))))
+      (either guard (tail split))) (N.zero count)
+-- Direct rounding extracts guard/sticky from the boundary octet once.
+roundFinish quotient guard sticky = t
+  (choose (increment quotient) quotient (both guard (either sticky (N.odd (head quotient)))))
+  (either guard sticky)
+round count xs = lazy (_ : t xs t)
+  (_ : let whole = L.drop1 (L.drop2 count) in
+    let residual = L.join2 count (L.join1 (L.drop2 count) t) in
+    lazy
+      (_ : let dropped = dropLimbs (N.predecessor whole) xs t in
+        let rest = head dropped in let boundary = head rest in
+        roundFinish (tail rest) (N.odd (L.drop1 (L.drop2 (L.drop4 boundary))))
+          (either (tail dropped) (not (N.zero (L.low7 boundary)))))
+      (_ : let dropped = dropLimbs whole xs t in
+        let rest = head dropped in let boundary = head rest in
+        let lowCount = N.predecessor residual in
+        roundFinish (shiftResidual residual rest) (N.odd (head (K.shiftL lowCount boundary)))
+          (either (tail dropped) (not (N.zero (L.takeBits lowCount boundary))))) (N.zero residual)) (N.zero count)
+limbRoundSplit xs = map (x : roundSplit (head x) (tail x)) xs
+-- Round exact natural to at most 53 significant bits. Output (shift, (m, inexact)).
+-- Carry into bit 54 is renormalized once, without a second rounding.
+finishL n = let cut = N.subtract (K.width n) 53 in let rounded = K.roundL cut n in
+  let m = head rounded in lazy
+    (_ : t (N.successor cut) (t (tail m) (tail rounded)))
+    (_ : t cut rounded) (N.odd (L.drop1 (L.drop52 m)))
+finishB n = let cut = N.subtract (width n) 53 in let rounded = round cut n in
+  let m = head rounded in lazy
+    (_ : t (N.successor cut) (t (shiftResidual 1 m) (tail rounded)))
+    (_ : t cut rounded) (N.odd (L.drop1 (L.drop4 (head (L.drop2 (L.drop4 m))))))
+lsbAdd xs = map (x : finishL (N.add (head x) (tail x))) xs
+limbAdd xs = map (x : finishB (add (head x) (tail x))) xs
+lsbSubtract xs = map (x : finishL (N.subtract (head x) (tail x))) xs
+limbSubtract xs = map (x : finishB (subtract (head x) (tail x))) xs
+lsbMultiply xs = map (x : finishL (N.multiply (head x) (tail x))) xs
+limbMultiply xs = map (x : finishB (multiply (head x) (tail x))) xs
+limbShift xs = map (x : shift (head x) (tail x)) xs
+limbRound xs = map (x : round (head x) (tail x)) xs
+limbWidths xs = map width xs
+limbToNatural xs = map toNatural xs
+naturalToLimb xs = map fromNatural xs
+-- Three individually rounded multiplies; collect all exponent increments and
+-- inexact flags. This is a significand chain, not a complete float operation.
+chainL a b = let first = finishL (N.multiply a b) in
+  let second = finishL (N.multiply (head (tail first)) b) in
+  let third = finishL (N.multiply (head (tail second)) b) in
+  t (N.add (head first) (N.add (head second) (head third)))
+    (t (head (tail third)) (either (tail (tail first)) (either (tail (tail second)) (tail (tail third)))))
+chainB a b = let first = finishB (multiply a b) in
+  let second = finishB (multiply (head (tail first)) b) in
+  let third = finishB (multiply (head (tail second)) b) in
+  t (N.add (head first) (N.add (head second) (head third)))
+    (t (head (tail third)) (either (tail (tail first)) (either (tail (tail second)) (tail (tail third)))))
+lsbChain xs = map (x : chainL (head x) (tail x)) xs
+limbChain xs = map (x : chainB (head x) (tail x)) xs
+-- Bounded exact-alignment controls: callers constrain gap to 0..54 here.
+-- A production far-gap path must use sticky bounds rather than build this shift.
+prependLimbs count xs = lazy (_ : xs)
+  (_ : consLimb 0 (prependLimbs (N.predecessor count) xs)) (N.zero count)
+leftB count xs = let residual = L.join2 count (L.join1 (L.drop2 count) t) in
+  prependLimbs (L.drop1 (L.drop2 count)) (multiplyDigit (shiftLeft residual 1) xs 0)
+lsbAlignedAdd xs = map (x : let ab = tail x in
+  finishL (N.add (shiftLeft (head x) (head ab)) (tail ab))) xs
+limbAlignedAdd xs = map (x : let ab = tail x in
+  finishB (add (leftB (head x) (head ab)) (tail ab))) xs
+lsbAlignedSubtract xs = map (x : let ab = tail x in
+  finishL (N.subtract (shiftLeft (head x) (head ab)) (tail ab))) xs
+limbAlignedSubtract xs = map (x : let ab = tail x in
+  finishB (subtract (leftB (head x) (head ab)) (tail ab))) xs
+lsbRound xs = K.lsbRound xs
diff --git a/bench/float-significand-results.json b/bench/float-significand-results.json
@@ -0,0 +1,6340 @@
+{
+  "stage": "significand-shift-round-normalize-and-chain",
+  "git_head": "23e96a601e150ab79c6329246a0523d972a625e6",
+  "reducer_sha256": "6051ca7d8f345eb208ff6cb7f218e933756f6227469f0299bc4836ec14d6805d",
+  "run": {
+    "complete": true,
+    "scope": "fresh-process-invoke-through-full-force",
+    "runtime_sha256": "15517148463a5ee0d3d4cc26f80d2aa69807946a405237aeeb4f128fb237d5d6",
+    "harness_sha256": "6ef5e8245fc6ddd798b85084291b65a0c57cd61adbcd25a226cd4aac520d1582",
+    "compiler_sha256": "6b7b389d64af12d85b85598db69d7ff71cf3dcb991c584e17e0caec8bcb44c7b",
+    "platform": "Linux-6.18.42-x86_64-with-glibc2.42",
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+        "input_sha256": "fd0c7f942a0c06eb8acae34383009789e19bed19bb01f2ada53ef96fd745f3e6",
+        "output_sha256": "395c835fb6f1e0ac4839960dc9dd8bf39e4b92173c2cbcdaef85038be984613b"
+      },
+      {
+        "label": "check-lsbChain",
+        "input_sha256": "dafd4914d20c11738f369e425492cd64cd5889f3996688e051c00f05fc2b0b3d",
+        "output_sha256": "ad8e0ef189c98c98f2c128736ace24cfec8a5d8dfb9a76e17bae66f10b0866ce"
+      },
+      {
+        "label": "check-msbChain",
+        "input_sha256": "a56f0a41dca047671a4388cabaf3477a73b29c4c0e75cc71e2ebaca7ba0a9d46",
+        "output_sha256": "ff4c5cfbd87cc66dfbb73a4b26c7500f69694148d3752662c04bad9239a88dd0"
+      },
+      {
+        "label": "check-msbCachedChain",
+        "input_sha256": "fd0c7f942a0c06eb8acae34383009789e19bed19bb01f2ada53ef96fd745f3e6",
+        "output_sha256": "ff4c5cfbd87cc66dfbb73a4b26c7500f69694148d3752662c04bad9239a88dd0"
+      },
+      {
+        "label": "check-msbMaintainedChain",
+        "input_sha256": "fd0c7f942a0c06eb8acae34383009789e19bed19bb01f2ada53ef96fd745f3e6",
+        "output_sha256": "ff4c5cfbd87cc66dfbb73a4b26c7500f69694148d3752662c04bad9239a88dd0"
+      },
+      {
+        "label": "check-lsbNormalize",
+        "input_sha256": "dafd4914d20c11738f369e425492cd64cd5889f3996688e051c00f05fc2b0b3d",
+        "output_sha256": "420ba4db887df1a88fa889903162d566f9fe8c1231b66661f04796f6cd76951e"
+      },
+      {
+        "label": "check-msbNormalize",
+        "input_sha256": "a56f0a41dca047671a4388cabaf3477a73b29c4c0e75cc71e2ebaca7ba0a9d46",
+        "output_sha256": "bab64b651c1b4893c47ab1ae77e74bb66cc8e1febc47584833fbb64211c420d6"
+      },
+      {
+        "label": "zeroShiftDemand",
+        "input_sha256": "6e340b9cffb37a989ca544e6bb780a2c78901d3fb33738768511a30617afa01d",
+        "output_sha256": "6e340b9cffb37a989ca544e6bb780a2c78901d3fb33738768511a30617afa01d"
+      },
+      {
+        "label": "zeroRoundDemand",
+        "input_sha256": "6e340b9cffb37a989ca544e6bb780a2c78901d3fb33738768511a30617afa01d",
+        "output_sha256": "6e340b9cffb37a989ca544e6bb780a2c78901d3fb33738768511a30617afa01d"
+      },
+      {
+        "label": "zeroMsbDemand",
+        "input_sha256": "6e340b9cffb37a989ca544e6bb780a2c78901d3fb33738768511a30617afa01d",
+        "output_sha256": "6e340b9cffb37a989ca544e6bb780a2c78901d3fb33738768511a30617afa01d"
+      },
+      {
+        "label": "hugeShift",
+        "input_sha256": "35403b89f1a6ff40266015bdcdaf36b963077564493e25bce09184fc515c7557",
+        "output_sha256": "7dc4096fa4ca962ffe7ba24f3cb48480065a7714e6a4a27588185d3d86a8dde8"
+      },
+      {
+        "label": "hugeRound",
+        "input_sha256": "35403b89f1a6ff40266015bdcdaf36b963077564493e25bce09184fc515c7557",
+        "output_sha256": "7dc4096fa4ca962ffe7ba24f3cb48480065a7714e6a4a27588185d3d86a8dde8"
+      }
+    ],
+    "bundle_sha256": "a7e1d4a86bd9f84ce3d0acea7348824c6d693573b11280d4af0de0865585cba4",
+    "validation_case_count": 819
+  }
+}
diff --git a/bench/float-significands.tri b/bench/float-significands.tri
@@ -0,0 +1,124 @@
+-- Experimental unsigned significand kernels, not a binary64 arithmetic API.
+!import native_math as N
+!export *
+triage leaf stem fork = t (t leaf stem) fork
+choose yes no value = triage no (_ : yes) (_ _ : yes) value
+lazy yes no value = choose yes no value t
+head value = triage t (_ : t) (a _ : a) value
+tail value = triage t (_ : t) (_ b : b) value
+both a b = choose b t a
+either a b = choose (t t) b a
+not value = choose t (t t) value
+xor a b = choose (not b) b a
+map f xs = triage t (_ : t) (a b : t (f a) (map f b)) xs
+node bit rest = choose (t bit rest) (choose t (t bit rest) (N.zero rest)) bit
+reverseInto xs acc = triage acc (_ : acc) (a b : reverseInto b (t a acc)) xs
+reverse xs = reverseInto xs t
+width xs = triage 0 (_ : 0) (_ rest : N.successor (width rest)) xs
+anyBit xs = triage t (_ : t) (bit rest : either bit (anyBit rest)) xs
+-- LSB-first canonical naturals. Return (quotient, discardedNonzero).
+shiftL k x = shiftWalk k x t
+shiftWalk k x sticky = lazy (_ : t x sticky)
+  (_ : triage (t t sticky) (_ : t t sticky)
+    (bit rest : shiftWalk (N.predecessor k) rest (either sticky bit)) x) (N.zero k)
+roundL k x = lazy (_ : t x t) (_ : roundWalk k x t) (N.zero k)
+roundWalk k x sticky = triage (t t sticky) (_ : t t sticky)
+  (bit rest : lazy
+    (_ : t (choose (N.successor rest) rest (both bit (either sticky (N.odd rest)))) (either sticky bit))
+    (_ : roundWalk (N.predecessor k) rest (either sticky bit)) (N.equal k 1)) x
+-- MSB-first canonical bit lists (empty zero, first bit 1 otherwise).
+-- Cached variants take width explicitly; it is a trusted internal invariant.
+shiftM k x = shiftMW (width x) k x
+shiftMW w k x = lazy (_ : t x t)
+  (_ : lazy (_ : t t (anyBit x))
+    (_ : splitPrefix (N.subtract w k) x) (N.gte k w)) (N.zero k)
+splitPrefix keep x = lazy (_ : t t (anyBit x))
+  (_ : let next = splitPrefix (N.predecessor keep) (tail x) in
+    t (t (head x) (head next)) (tail next)) (N.zero keep)
+roundM k x = roundMW (width x) k x
+roundMW w k x = lazy (_ : t x t)
+  (_ : lazy (_ : t t (anyBit x))
+    (_ : let rounded = roundPrefix (N.subtract w k) x t in
+      t (choose (t (t t) (head (tail rounded))) (head (tail rounded)) (head rounded))
+        (tail (tail rounded))) (N.gt k w)) (N.zero k)
+-- Return (carry, (retained bits, inexact)); propagate increment towards the MSB.
+roundPrefix keep x previous = lazy
+  (_ : let guard = head x in let sticky = anyBit (tail x) in
+    t (both guard (either sticky previous)) (t t (either guard sticky)))
+  (_ : let bit = head x in let next = roundPrefix (N.predecessor keep) (tail x) bit in
+    t (both bit (head next))
+      (t (t (xor bit (head next)) (head (tail next))) (tail (tail next)))) (N.zero keep)
+-- Wire arguments: (shiftCount, payload); cached payload: (width, bits).
+lsbShiftOne x = shiftL (head x) (tail x)
+lsbRoundOne x = roundL (head x) (tail x)
+msbShiftOne x = shiftM (head x) (tail x)
+msbRoundOne x = roundM (head x) (tail x)
+msbCachedShiftOne x = shiftMW (head (tail x)) (head x) (tail (tail x))
+msbCachedRoundOne x = roundMW (head (tail x)) (head x) (tail (tail x))
+lsbShift xs = map lsbShiftOne xs
+lsbRound xs = map lsbRoundOne xs
+msbShift xs = map msbShiftOne xs
+msbRound xs = map msbRoundOne xs
+msbCachedShift xs = map msbCachedShiftOne xs
+msbCachedRound xs = map msbCachedRoundOne xs
+-- Include cache production, rather than assuming widths are always free.
+msbBuildCachedShiftOne x = let bits = tail x in msbCachedShiftOne (t (head x) (t (width bits) bits))
+msbBuildCachedRoundOne x = let bits = tail x in msbCachedRoundOne (t (head x) (t (width bits) bits))
+msbBuildCachedShift xs = map msbBuildCachedShiftOne xs
+msbBuildCachedRound xs = map msbBuildCachedRoundOne xs
+-- Repeated rounded shifts are a working-representation chain, NOT one rounding
+-- of the exact input by the total shift. The independent oracle follows each step.
+chainL k x = let a = head (roundL k x) in
+  let b = head (roundL k a) in head (roundL k b)
+chainM k x = let a = head (roundM k x) in
+  let b = head (roundM k a) in head (roundM k b)
+-- Cache rebuild is charged at every stage in this control.
+chainCachedM k x = let a = head (roundMW (head x) k (tail x)) in
+  let b = head (roundMW (width a) k a) in head (roundMW (width b) k b)
+lsbChain xs = map (x : chainL (head x) (tail x)) xs
+msbChain xs = map (x : chainM (head x) (tail x)) xs
+msbCachedChain xs = map (x : chainCachedM (head x) (tail x)) xs
+-- Conversion-only controls; no input-independent constants in timed workers.
+lsbToMsb xs = map reverse xs
+msbToLsb xs = map reverse xs
+widths xs = map width xs
+-- k=0 must leave the untouched significand unforced when only sticky is read.
+spin x = spin x
+zeroShiftDemand x = tail (shiftL 0 (spin x))
+zeroRoundDemand x = tail (roundL 0 (spin x))
+zeroMsbDemand x = tail (roundM 0 (spin x))
+-- A huge count must stop at the end of a finite significand, not count to zero.
+hugeShift x = shiftL x 1
+hugeRound x = roundL x 1
+-- Maintain width from the retained count and carry, without a new spine walk.
+roundMC w k x = lazy (_ : t (t w x) t)
+  (_ : lazy (_ : t (t 0 t) (anyBit x))
+    (_ : let keep = N.subtract w k in let rounded = roundPrefix keep x t in
+      let carry = head rounded in let bits = head (tail rounded) in
+      t (t (choose (N.successor keep) keep carry) (choose (t (t t) bits) bits carry))
+        (tail (tail rounded))) (N.gt k w)) (N.zero k)
+msbMaintainedRoundOne x = roundMC (head (tail x)) (head x) (tail (tail x))
+msbMaintainedRound xs = map msbMaintainedRoundOne xs
+chainMaintainedM k x = let a = head (roundMC (head x) k (tail x)) in
+  let b = head (roundMC (head a) k (tail a)) in
+  tail (head (roundMC (head b) k (tail b)))
+msbMaintainedChain xs = map (x : chainMaintainedM (head x) (tail x)) xs
+-- Cached width can also cap LSB work for large alignment gaps.
+shiftLW w k x = lazy (_ : t t (not (N.zero w))) (_ : shiftL k x) (N.gte k w)
+roundLW w k x = lazy (_ : t t (not (N.zero w))) (_ : roundL k x) (N.gt k w)
+lsbCachedShiftOne x = shiftLW (head (tail x)) (head x) (tail (tail x))
+lsbCachedRoundOne x = roundLW (head (tail x)) (head x) (tail (tail x))
+lsbCachedShift xs = map lsbCachedShiftOne xs
+lsbCachedRound xs = map lsbCachedRoundOne xs
+lsbBuildCachedRoundOne x = let bits = tail x in roundLW (width bits) (head x) bits
+lsbBuildCachedRound xs = map lsbBuildCachedRoundOne xs
+-- Exact odd-significand normalization: (removed powers of two, significand).
+normalizeL x = triage (t 0 t) (_ : t 0 t)
+  (bit rest : lazy (_ : t 0 x)
+    (_ : let next = normalizeL rest in t (N.successor (head next)) (tail next)) bit) x
+normalizeM x = triage (t 0 t) (_ : t 0 t)
+  (bit rest : let next = normalizeM rest in
+    lazy (_ : t (N.successor (head next)) t)
+      (_ : t (head next) (t bit (tail next))) (both (not bit) (N.zero (tail next)))) x
+lsbNormalize xs = map (x : normalizeL (tail x)) xs
+msbNormalize xs = map (x : normalizeM (tail x)) xs
diff --git a/bootstrap/binding-certificates.json b/bootstrap/binding-certificates.json
@@ -0,0 +1,25 @@
+{
+  "schema": "tricu.experimental-binding-certificates.v1",
+  "encoding": "sha256 of canonical preorder constructor bytes (0 Leaf, 1 Stem, 2 Fork)",
+  "authority": "compiler-owned source_binding_support; never source spelling or caller-supplied assertions",
+  "source": "lib/source/binding_support.tri",
+  "source_sha256": "c3fb6c4875e173e360b2aa7b2e19543629570b07e73b40446c8320cb329e995a",
+  "contracts": {
+    "choose": {
+      "tree_sha256": "9ec87706d9552f21c8acf5209982ff8ffd4b8c71806bcf5178eba3b53e1d8a3c",
+      "arity": 3,
+      "alternatives": [
+        0,
+        1
+      ],
+      "condition": 2,
+      "condition_demand": "root constructor only; selects argument 1 for Leaf, argument 0 otherwise"
+    },
+    "not": {
+      "tree_sha256": "9dad0cde222a08455e17d03746d5d3c640c317dfabe1dc66ff61b761f8dbc620",
+      "arity": 1,
+      "result": "Stem Leaf for Leaf input; Leaf for Stem/Fork input",
+      "argument_demand": "root constructor only"
+    }
+  }
+}
diff --git a/bootstrap/compiler-source-map.v1 b/bootstrap/compiler-source-map.v1
@@ -25,8 +25,11 @@ native	graph	graph	lib/graph.tri	base
 native	lexer	lexer	lib/lexer.tri	base,parser
 native	source_pattern	source.pattern	lib/source/pattern.tri	prelude,parser,source_core
 native	source_equations	source.equations	lib/source/equations.tri	prelude,parser,source_lexer,source_ast,source_pattern,source_core
-native	source_stable	source.stable	lib/source/stable.tri	prelude,parser,source_core,source_ast,source_compile,source_resolve,source_program,source_order
+native	source_stable	source.stable	lib/source/stable.tri	prelude,parser,source_core,source_ast,source_compile,source_resolve,source_program,source_order,source_binding
 native	native_math	math.native	lib/math/native.tri	-
 native	io	io	lib/io.tri	base,native_math
 native	io_storage	io.storage	lib/io/storage.tri	base,native_math,io
 native	io_text	io.text	lib/io/text.tri	base,native_math,io
+native	source_binding_support	source.binding_support	lib/source/binding_support.tri	native_math
+native	source_binding_analysis	source.binding_analysis	lib/source/binding_analysis.tri	native_math,source_binding_support
+native	source_binding	source.binding	lib/source/binding.tri	source_binding_analysis,native_math,source_binding_support
diff --git a/docs/abstraction-binding-investigation.md b/docs/abstraction-binding-investigation.md
@@ -0,0 +1,224 @@
+# Stable abstraction: binding cost, K restrictions, and safety boundaries
+
+This follows the [adder/source-form investigation](float-multiply-investigation.md).
+The priority is now compiler investigation; arithmetic supplies a realistic
+workload, not a reason to weaken lazy or reflective semantics. No production
+compiler, reducer, or math-library changes have been made.
+
+## Trace through the existing compiler
+
+`sourceResolveLocal` in `lib/source/resolve.tri` lowers a nonrecursive local to:
+
+```
+Apply (Lambda body) value
+```
+
+There is no separate let node in resolved core. `stableCachedEliminate` in
+`lib/source/stable.tri` eliminates the lambda before handling the application.
+The binding therefore creates an extra abstraction pass. The resulting residual
+then participates in elimination of enclosing binders.
+
+`stableCachedBracket` has three relevant behaviors:
+
+- literals and independent variables can become K applications;
+- independent certified constructor applications can also be put under K;
+- dependent applications, and independent applications not certified safe for
+  K, are distributed recursively using the native application abstraction rule.
+
+There is no general eta contraction. These restrictions are deliberate: closed
+computations must not be executed merely to construct a function tree.
+
+## An exact-tree diagnostic model
+
+`test/abstraction_binding_model.py` is an independent finite Python model of the
+stable residual annotations, lowering, bracket abstraction, constructor folding,
+and final normalization. It counts abstraction-rule decisions by binder.
+
+`test/abstraction_bindings.py` generates matching source from the same explicitly
+specified expression ASTs and compiles it with the accepted stable compiler.
+The model uses the actual compiled helper trees as opaque literals, then predicts
+the complete compiled tree for each target function. All **18 predicted trees
+match exactly**, through canonical DAG interning, not merely by applying them to
+a few numeric arguments. The model does not model the parser or rebuild helper
+functions; its validated scope is the target expressions' abstraction.
+
+The model's final normalization is eager and applies only to these finite
+compiled controls. It is **not a substitute reducer or a performance model**.
+Counts below are compiler rule firings, not measured runtime reduction counts.
+
+## Attribution: the original smell was useful, but not the whole diagnosis
+
+The isolated full-adder expression binds `neg = not carry` and uses it in two
+mutually exclusive branches, or writes the negation directly in those branches.
+Both return the sum/carry Boolean pair. All eight total Boolean combinations
+were checked for both versions.
+
+| Target | Dependent application distributions | Independent computation distributions | Reachable compiled DAG nodes |
+|---|---:|---:|---:|
+| Adder-shaped bound expression | 119 | 8 | 196 |
+| Adder-shaped inline expression | 60 | 1 | 154 |
+| Simple exclusive branches, bound | 28 | 0 | 94 |
+| Simple exclusive branches, inline | 11 | 0 | 82 |
+| Constructor-valued exclusive branches, bound | 28 | 0 | 86 |
+| Constructor-valued exclusive branches, inline | 11 | 0 | 74 |
+
+For the adder-shaped example, all eight independent-computation distributions
+occur while eliminating the local binder. The expanded residual then entails
+more work under the remaining carry/bit binders. That supports the hypothesis
+that conservative K eligibility interacts with the extra abstraction layer.
+
+But the simple branch example has **no rejected independent-computation K
+opportunities**, and still has substantial additional abstraction from the
+binding. Replacing its computed value with a known constructor gives the same
+rule counts. Therefore:
+
+> The extra let/beta abstraction layer is a real cost. Conservative K handling
+> contributes in the adder-shaped case, but is not the sole cause. We have not
+> identified an eta redex as the primary explanation.
+
+Relaxing the K guard would target a deliberately protected boundary rather than
+cleanly eliminating this source-level overhead.
+
+## Nonnumeric performance controls
+
+Recorded run: five fresh-process repetitions, first excluded, shuffled order,
+full-result forcing before rendering, unchanged single-capability Haskell host.
+The three branch/constructor/single-use workloads use every Boolean input
+combination repeatedly. These small workloads are not expected to reproduce
+whole multiplication speedups.
+
+| Workload | Bound allocation | Inline allocation | Bound / inline median time |
+|---|---:|---:|---:|
+| Single use, batch 1024 | 11.488 MB | 11.283 MB | 3.366 / 3.367 ms |
+| Exclusive branches, batch 1024 | 16.428 MB | 15.593 MB | 4.444 / 4.089 ms |
+| Constructor-valued branches, batch 1024 | 14.124 MB | 13.289 MB | 4.028 / 3.925 ms |
+| Shared traversal, 512 elements | 5.474 MB | 7.737 MB | 3.601 / 4.253 ms |
+
+MB are cumulative decimal allocated bytes, not live/peak memory. Timing includes
+profiling collection overhead; small differences should not be overinterpreted.
+The isolated single-use workload shows essentially no time separation despite
+a smaller emitted tree.
+
+### Negative sharing control
+
+The final row compares:
+
+```
+let z = copy xs in t z z
+```
+
+with:
+
+```
+t (copy xs) (copy xs)
+```
+
+Here `copy` traverses a list and wraps each element. Both result branches are fully
+observed. Inlining increases allocation by about 41% at 512 elements. Removing
+bindings indiscriminately is therefore an experimentally demonstrated regression,
+not merely a theoretical concern. The inline compiled function is slightly
+smaller, again showing that code-tree size alone is not a runtime cost model.
+
+## Negative semantic controls
+
+### Captured computation versus delayed function body
+
+These source forms are not interchangeable under full tree observation:
+
+```
+closureBound x = let z = loop x in ignored : z
+closureInline x = ignored : loop x
+```
+
+where `loop x = loop x`.
+
+After supplying a finite `x`:
+
+- Fully observing `closureBound x` exceeds the three-second limit. Its returned
+  function contains a captured shared computation which full observation forces.
+- `closureInline x` returns a finite function tree. Its exact 182-byte tree
+  encoding agrees with the independent model's prediction.
+- Applying either returned function to an ignored argument exceeds the limit.
+
+This is a returned-function observation, **not** a claim that merely obtaining
+weak head normal form of the bound function must diverge. The benchmark observer
+fully traverses the returned tree.
+
+Crucially, `z` occurs only once in the source. **A single-use substitution rule
+alone is not enough** to preserve this behavior. Escaping/nested function
+construction needs its own treatment. Three-second timeouts are bounded
+observations; the source explains the recurring computation they encounter.
+
+The unused-binding and unselected-divergent-branch controls succeed in both
+forms. Selected-divergent-branch controls time out as expected. Thus the closure
+finding is not just a broken general implementation of lazy selection.
+
+### Eta changes an observable constructor
+
+The controls:
+
+```
+etaExpanded f = arg : f arg
+etaContracted f = f
+```
+
+both construct the same `Stem` result when supplied `f = t` and a subsequent
+argument. But after supplying only `f = t`, the expanded version is a **Fork**
+and the contracted version is **Leaf**. Complete returned trees are checked
+against the independent model, and the unequal outer tags are asserted.
+
+Therefore general eta contraction can change a direct `triage` observation;
+this is stronger than merely producing a different opaque function hash.
+The existing no-general-eta policy is justified by a concrete control.
+
+## What this suggests for a compiler candidate
+
+The first executable [analysis-only binding classifier](binding-analysis-prototype.md)
+is now implemented and checked against an independent path-enumeration oracle.
+It recognizes the adder opportunity and rejects the sharing/closure controls;
+rewriting remains disabled.
+
+
+The evidence supports investigating elimination or sinking of a binding **before
+it incurs repeated bracket abstraction**, rather than disabling K's safety
+checks. A candidate needs explicit certificates or conservative exclusions for:
+
+1. Use multiplicity and real sharing: reject the duplicated-traversal case.
+2. Escaping or nested function construction: reject the captured-computation
+   counterexample even though it has one occurrence.
+3. Proven branch exclusivity: a function named `choose` is not itself evidence
+   that its arguments are mutually exclusive; aliases and arbitrary callers
+   must not be guessed from spelling.
+4. Structural observations and source diagnostics, as well as application
+   results and finite-value arithmetic.
+
+A useful next prototype is a narrowly scoped core/source transformation with
+explicit eligibility diagnostics, initially testing single-use non-escaping
+forms and then certified exclusive branches. **Those conditions are a research
+plan, not a sufficiency proof or an implemented optimization.** Existing stable
+function-construction and intensional controls must accompany any rebuilt
+compiler candidate. The accepted toolchain remains untouched.
+
+## Artifacts and checks
+
+- Model: `test/abstraction_binding_model.py`
+- Harness and source generator: `test/abstraction_bindings.py`
+- Recorded result: `bench/abstraction-binding-results.json`
+- Raw staged source, bundle, inputs, outputs, logs:
+  `/tmp/tricu-abstraction-bindings-recorded`
+
+The recorded run has 18 exact compiled-tree matches, 90 checked timed
+invocations, 16 total-Boolean adder checks, four eta tree/application checks,
+and 12 demand/closure checks (including five expected bounded timeouts).
+All data-producing checks match independent expectations. Reports bind the
+runtime, compiler, generated source, model, and harness hashes.
+
+```sh
+HOST=$(nix build .# --no-link --print-out-paths)/bin/tricu
+python3 test/abstraction_bindings.py "$HOST" \
+  --directory /tmp/abstraction-bindings-new --repeats 5
+```
+
+Use a fresh output directory and do not disable Python assertions. Each process
+has a 2 GiB heap limit; the whole job is bounded. No production artifacts are
+published by the harness.
diff --git a/docs/binding-analysis-prototype.md b/docs/binding-analysis-prototype.md
@@ -0,0 +1,197 @@
+# Binding transformation: analysis-only prototype
+
+This implements the first step proposed by the
+[stable abstraction investigation](abstraction-binding-investigation.md).
+It is executable **tricu compiler-analysis code**, not a source-text heuristic.
+It does not rewrite programs, change the stable backend, or publish a compiler.
+
+## Implementation and interface
+
+`bench/binding-analysis.tri` consumes the existing resolved-core node schema:
+
+```
+(kind, (payload, (start, end)))
+```
+
+The input body is scoped under the binding being considered. Index 0 denotes
+that binder; when traversing a nested lambda the target index increases. Inner
+parameters which shadow names therefore are not mistaken for captured uses.
+There is no source-name lookup in the analyzer.
+
+The standalone probe interface is:
+
+```
+inspect (certifiedSelectorTree, bodyCore)
+  -> (classification, summary)
+```
+
+The summary contains:
+
+- total syntactic occurrences;
+- maximum uses along an evaluated path;
+- occurrence below a lambda;
+- occurrence passed through an unknown consumer;
+- occurrence in a partial selector application;
+- an unsupported-kind/malformed-list flag.
+
+The analyzer assumes trusted, well-formed resolved core from the compiler. It is
+not a validator for arbitrary hostile core encodings; the last flag catches
+unsupported kinds and certain unexpected list shapes, not every malformed
+payload. It leaves the input and its source spans untouched.
+
+## Certificates are explicit identities, not names
+
+The integration harness compiles a small, known selector with the accepted
+compiler. It records its source hash, bundle hash, exact literal-tree hash,
+arity, and the explicit harness assertion of its selector contract:
+
+- three arguments;
+- arguments 0 and 1 are alternatives;
+- argument 2 is the selector.
+
+The tricu analyzer compares a resolved external literal against that exact tree.
+An alias of the same literal is recognized. A parameter shadowing `choose`, or
+a different literal with the same suggested source name, is not recognized.
+Partial and oversaturated applications are not treated as certified selection.
+
+**The contract is trusted input to this prototype.** Hash identity establishes
+which compiled tree is being discussed; it does not independently prove that an
+arbitrary tree satisfies a selector contract. There is no production certificate
+registry or automatic inference from an unfamiliar helper yet. A caller cannot
+legitimately obtain an optimization by merely claiming its function is a selector.
+
+Likewise, only explicit Leaf construction or literal Leaf/Stem heads within
+their constructor arity are recognized as construction. Literal Fork application
+is an unknown computation. Proper list nodes are treated as data construction.
+
+## Path accounting
+
+For ordinary construction, the analyzer adds child path-use bounds: both fields
+may eventually be inspected. For a certified selector it uses:
+
+```
+conditionUses + max(yesBranchUses, noBranchUses)
+```
+
+It still sums both branches when reporting syntactic occurrences. These are
+conservative occurrence bounds, not measured reduction or allocation counts.
+Repeated condition values are not assumed to have been evaluated already.
+
+Unknown consumers involving the binder are rejected. For example, an opaque
+function could duplicate or retain its argument; one textual occurrence is not
+sufficient evidence of one dynamic use. Occurrences below a lambda are rejected
+regardless of the path-use bound.
+
+### Diagnostic categories
+
+| Code | Meaning | Prototype action |
+|---|---|---|
+| 0 | No uses | Leave unchanged |
+| 1 | Passes this candidate screen | Record for further verification; do not rewrite |
+| 2 | More than one use on a path | Reject |
+| 3 | Crosses a lambda boundary | Reject |
+| 4 | Unknown consumer | Reject |
+| 5 | Partial selector application | Reject |
+| 6 | Unsupported core kind / detected malformed list | Reject |
+
+The summary keeps multiple flags even when the primary diagnostic reports only
+one. Lambda and partial-selector diagnostics take precedence over the generic
+unknown-consumer diagnostic.
+
+## Results on the motivating examples
+
+| Example | Syntactic uses | Maximum path uses | Classification |
+|---|---:|---:|---|
+| Single-use binding | 1 | 1 | Candidate |
+| Exclusive branch binding | 2 | 1 | Candidate |
+| Constructor-valued exclusive branches | 2 | 1 | Candidate |
+| Adder-shaped negation binding | 2 | 1 | Candidate |
+| Duplicated shared traversal | 2 | 2 | Reject: multiple path uses |
+| Captured computation in returned lambda | 1 | 1 | Reject: lambda boundary |
+| Unused divergent value | 0 | 0 | Leave unchanged |
+| Binding used in both condition and selected branch | 2 | 2 | Reject: multiple path uses |
+| Alias of certified literal | 1 | 1 | Candidate |
+| Shadowed/different selector | 1 | 1 | Reject: unknown consumer |
+| Partially applied selector | 1 | 1 | Reject: partial selector |
+
+The important separation is preserved: the adder opportunity survives, while
+both concrete counterexamples from the previous stage are rejected.
+
+## Independent validation
+
+`test/binding_analysis.py` generates actual resolved-core trees and executes the
+compiled tricu analyzer. Its Python oracle independently enumerates the sets of
+possible path-use counts; it does not merely implement the same max-propagation
+recurrence. It compares the complete output trees, including all summary flags.
+
+The recorded run checked **277 bodies**:
+
+- binding bodies extracted from the earlier explicit expression fixtures;
+- selector identity/alias/shadow/arity controls;
+- constructor, unknown-call, list, nested-scope, and unsupported-kind controls;
+- 256 deterministic generated core expressions.
+
+All decisions and summaries match the oracle. The corpus yields 26 candidates,
+15 multiple-path-use rejections, 87 lambda-boundary rejections, 59 unknown-consumer
+rejections, five partial-selector rejections, one unsupported-kind rejection,
+and 84 unused bindings left alone.
+
+`test/binding_analysis_test.py` supplies four additional intent tests, including
+explicit expected classifications for the named controls, condition-use
+accounting, and nested de Bruijn shadowing/capture. These prevent agreement
+between implementations from being the only statement of intended behavior.
+
+The recorded source, runtime, compiler and certificate hashes are in
+`bench/binding-analysis-results.json`. Raw source snapshots, bundles, core input
+files, result trees and command logs are in `/tmp/tricu-binding-analysis-first`.
+No performance improvement is claimed for this pass yet; it currently adds
+analysis work and changes no emitted program.
+
+## What “candidate” does not establish
+
+This first pass analyzes **uses of the binder in the body**. It does not analyze
+the RHS, prove all function-tree observations equivalent, establish a cost model,
+or perform capture-avoiding substitution. It also does not prove a general rule
+for consumers beyond the explicitly trusted selector/constructor contracts.
+
+In particular, passing this screen is not enough to enable an optimization.
+The current output is useful eligibility evidence and a rejection reason, not
+a completed safety certificate. The prototype is intentionally outside the
+production compiler, with no rewrite switch hidden behind its classification.
+
+## Next implementation boundary
+
+An [isolated Boolean-binding substitution candidate](binding-substitution-candidate.md)
+now implements the next stage with a stricter RHS/body gate, independent named
+substitution oracles, and compilation through the exact shipped stable core
+worker. This analysis module itself remains analysis-only; production rewriting
+is still disabled.
+
+
+Before constructing an unpublished compiler candidate:
+
+1. Specify the additional RHS and structural-observation obligations for the
+   narrow subset that will actually be rewritten.
+2. Implement capture-avoiding resolved-core substitution with explicit handling
+   of source spans, outer indices, and nested scopes; test it independently.
+3. Test original and transformed programs with finite values, partial inputs,
+   returned-function observations, and sharing controls. Keep rejected core
+   byte-for-byte unchanged.
+4. Connect the pass only to an isolated backend/toolchain build, run existing
+   stable construction and intensional controls, and measure compilation overhead
+   as well as runtime savings.
+
+No eta contraction or weakening of the stable K guard is part of this direction.
+The accepted compiler and all public numeric encodings remain unchanged.
+
+## Reproduce
+
+```sh
+HOST=$(nix build .# --no-link --print-out-paths)/bin/tricu
+python3 test/binding_analysis_test.py
+python3 test/binding_analysis.py "$HOST" \
+  --directory /tmp/binding-analysis-new
+```
+
+Use a fresh directory and normal assertion settings. The harness explicitly
+selects the shipped stable compiler and applies process/whole-run resource bounds.
diff --git a/docs/binding-backend-contract.md b/docs/binding-backend-contract.md
@@ -0,0 +1,222 @@
+> **Historical, superseded experiment.** The separate backend described below
+> was removed before integration. The change is now a normal stable compiler
+> improvement; see [binding elimination](binding-elimination.md). Function-tree
+> drift is assessed through targeted and corpus testing, not a third backend.
+> The old backend preparation harness names below are historical; active stable
+> replacements are `binding_stable_integration.py` and `binding_stable_validation.py`.
+
+# Opt-in binding backend: representation contract and source integration
+
+The Boolean-binding pass now has compiler-owned source and an explicit experimental
+backend. It does **not** replace stable compilation or silently change the default.
+
+## Representation boundary
+
+Tree Calculus can observe function representations. A compiler optimization which
+changes a function tree is not transparent in every source context, even if ordinary
+applications agree. The earlier screen recorded 96 differing finite trees after
+partial application; those differences are real observations, not test noise.
+
+The integration therefore makes the following distinction explicit:
+
+- Existing stable entrypoints retain their existing lowering and representations.
+- Selecting the binding backend selects a different, experimental representation
+  policy. Its emitted functions can differ from stable functions.
+- Programs which inspect those function trees, compare them intensionally, or branch
+  on their structure can consequently produce different results or termination
+  behavior. Universal contextual equivalence is **not** claimed.
+- The intended preservation obligations for non-code-observing applications include
+  ordinary values, lazy demand and useful sharing. These have bounded independent
+  tests; they are not a complete proof for every source program.
+- The stronger rejected-binding rule remains: rejecting an immediate binding leaves
+  its complete core subtree unchanged, without rewriting its descendants.
+
+This is not permission to dismiss arbitrary data or demand regressions as harmless
+representation changes. Such regressions still block the candidate. Nor does it
+weaken the K guard or introduce eta contraction. Keeping a distinct backend avoids
+claiming that this representational change is already approved for stable users.
+
+Use an explicit compiler identity for reproducible function-tree observations.
+Do not switch a representation-sensitive application to this backend implicitly.
+
+## Compiler-owned source
+
+| File | Responsibility |
+|---|---|
+| `lib/source/binding_support.tri` | Small local helpers and known selector/negation definitions |
+| `lib/source/binding_analysis.tri` | Scoped occurrence/path-use analysis |
+| `lib/source/binding.tri` | Capture-avoiding substitution, guarded rewrite, closed-certificate entrypoints |
+| `lib/source/binding_backend.tri` | Explicit core/module/graph compilation using the pass |
+
+These sources import no benchmark module and load no scratch-built executable.
+The original benchmark prototypes remain independent historical controls.
+
+The public transformation entrypoints take only trusted located core:
+
+```
+bindingTransform core
+bindingInspect immediateBinding
+bindingAnalyze body
+```
+
+`bindingTransform` performs the conservative one-pass transformation.
+`bindingInspect` returns the rewrite decision and resulting core.
+`bindingAnalyze` remains a body-only diagnostic, not a full rewrite certificate.
+The compiler caller cannot supply its own purported selector or negation contract
+through these entrypoints.
+
+Raw index manipulation and the same rewrite gates are retained from the tested
+prototype. Diagnostic precedence and source-span behavior are unchanged. No cheap
+prefilter or other speculative performance change was introduced during this move.
+
+## Certificate ownership
+
+The compiler closes over `source_binding_support.choose` and `.not`. Matching is
+by exact compiled tree identity, never source spelling. A shadowing parameter or
+unfamiliar function with the same name does not acquire a contract. A genuine
+alias of the identical tree remains recognizable.
+
+The contracts are small enough to inspect directly:
+
+- `choose yes no value` observes the condition's root constructor and returns
+  `no` for Leaf, `yes` for Stem/Fork, without inspecting the condition's children.
+  Only exactly three applied arguments receive the selector treatment.
+- `not value` observes the root and returns the canonical opposite Boolean:
+  Stem Leaf for Leaf, Leaf for Stem/Fork. The RHS gate still restricts its argument
+  to a bound variable or a known Boolean literal.
+
+`bootstrap/binding-certificates.json` records the helper source hash, these
+contracts, and exact canonical-preorder tree hashes. The preparation harness
+checks the tree identities when compiled both by the accepted compiler and by
+the new backend. A mismatch stops that preparation; it is not silently recertified
+because a source name happens to match.
+
+The runtime pass trusts its compiler-owned closed definitions, not an arbitrary
+caller assertion or a mutable lookup of this JSON file. The manifest is a build
+review/regression gate. Future source or compiler changes that alter a certificate
+need explicit review; equality of a hash alone is not a semantic proof of an
+unfamiliar function's behavior.
+
+## Explicit backend selection
+
+`binding_backend.tri` exports:
+
+- `bindingCompileCore`;
+- `bindingCompileModuleDefinitions`;
+- `sourceBuildBindingTriProfile`;
+- `sourceBuildGraphBinding`.
+
+It reuses stable ordering, recursive wrapping, indexed environments, parsing,
+diagnostics and graph construction. Only the resolved-core compilation operation
+runs the binding transform before calling the original `stableCompileCore`.
+
+Its profile is **`source-module.binding-experimental.v1`**, distinct from
+`source-module.stable.v1`. A test checks the concrete compiled profile value.
+The native CLI selects a prepared tool explicitly through `--toolchain`; neither
+its packaged default nor existing stable source entrypoints are changed.
+
+`bootstrap/binding-compiler-source-map.v1` is a separate source projection adding
+these four modules. The accepted source maps, trusted compiler hash, and the
+existing generation backend selector are unchanged. In particular, selecting
+`--backend stable` in the existing generation runner does **not** mean this new
+backend. Formal generation support needs its own explicit selection before an
+acceptance pair can be claimed.
+
+## Preparation and self-rebuild screen
+
+`test/binding_backend_integration.py`:
+
+1. Validates the separate map and dependency declarations.
+2. Verifies that every existing accepted compiler source still matches its pin.
+3. Captures the source projection into a private workspace.
+4. Builds a graph compiler selecting `sourceBuildGraphBinding` with the accepted
+   compiler (stage 0).
+5. Uses stage 0 to compile the same captured sources into a fresh store (stage 1).
+6. Checks certificate identities at both stages and compares emitted artifacts.
+
+The recorded run produced **byte-for-byte identical compiler bundles** at stages
+0 and 1. The selected support, analysis-facing transform, backend, stable and unit
+module artifacts checked across stages are identical too. Every public stable
+export matches the retained stable reference at both stages, including the
+original `stableCompileCore` entrypoint.
+
+Unlike the previous scratch prototype, this no longer patches a copy of
+`source_stable.tri` to make stable compilation mean something different.
+
+Preparation took approximately 295 and 304 seconds for the two stages. These are
+one-off build measurements, not a fresh performance study.
+
+**This is a self-rebuild screen, not a compiler-generation acceptance pair.**
+It does not supply a frozen Git checkpoint, independently audited complete
+map-builder generations, generation smokes, retention, or publication evidence.
+No source commit or default-toolchain promotion was made.
+
+## Validation after the move
+
+`test/binding_backend_validation.py` checks the actual compiler-owned entrypoints:
+
+- 277 body analyses against independent path-enumeration expectations;
+- 1,385 guarded binding decisions and complete located-core outputs against the
+  named-variable substitution oracle (five RHS choices per body);
+- 18 complete program-core transformations;
+- the distinct compiled backend profile;
+- **all 76 exports** of the original arithmetic workspace, compiled from source
+  with the new backend, exactly matching the previously measured prototype.
+
+This preserves the link to the earlier approximately 10.5% arithmetic allocation
+reductions without pretending to have run a new timing study. The old gains and
+compile-overhead measurements remain workload-specific evidence in the
+[failure investigation](binding-failure-investigation.md).
+
+The existing regression suites were then run with the **new experimental unit
+compiler explicitly selected**:
+
+- 38 source-order/analysis/diagnostic/compiled-result cases pass;
+- 28 stable construction/application/diagnostic/sequence cases pass.
+
+The abstraction harness now accepts `--unit-compiler-bundle` alongside its existing
+artifact-layout selection. Without the explicit override it would correctly
+select the unchanged stable worker, which would not test the new backend. The
+new option has no fallback; the selected worker's hash is recorded by the existing
+report. The testing adapter is labeled `NOT-A-GENERATION.json` and is not an
+accepted generation directory.
+
+## Next acceptance boundary
+
+The code is now a reviewable source-owned **opt-in experimental backend**. Before
+any adoption or publication:
+
+1. Review and explicitly retain or revise the representation contract above.
+2. Register a distinct map-builder/generation path if this backend is to advance
+   through compiler acceptance; do not relabel it as stable.
+3. Freeze the chosen source batch at an exact commit and run the required fresh
+   generation pair, independent audits, smokes and retention.
+4. Decide separately whether stable-default behavior should ever change. No such
+   change is part of this integration.
+
+The reducer, public math API and numeric encodings remain unchanged.
+
+## Artifacts and reproduction
+
+Recorded evidence: `bench/binding-backend-results.json`.
+
+Raw runs:
+
+- `/tmp/tricu-binding-backend-integration`
+- `/tmp/tricu-binding-backend-validation`
+- `/tmp/tricu-binding-backend-regression-artifacts`
+- `/tmp/tricu-binding-backend-order`
+- `/tmp/tricu-binding-backend-abstraction`
+
+```sh
+HOST=$(nix build .# --no-link --print-out-paths)/bin/tricu
+python3 test/binding_backend_integration.py "$HOST" \
+  --directory /tmp/binding-backend-new
+python3 test/binding_backend_validation.py "$HOST" \
+  --integration /tmp/binding-backend-new --directory /tmp/binding-validation-new
+```
+
+The validation harness also selects retained arithmetic evidence through
+`--prior-workload`; its default is the earlier recorded retry directory. This is
+an independent comparison input, not a runtime dependency of the compiler.
+Use fresh output directories and normal assertion settings.
diff --git a/docs/binding-compiler-investigation.md b/docs/binding-compiler-investigation.md
@@ -0,0 +1,223 @@
+# Unpublished binding compiler: broader testing and a compilation roadblock
+
+This follows the [isolated substitution candidate](binding-substitution-candidate.md).
+The requested sequence was broader semantic tests, an unpublished compiler build,
+and compile/runtime measurement, stopping at a roadblock or decision point.
+
+**Historical stage: stopped at a cold-workspace compilation roadblock.** The
+[subsequent failure investigation](binding-failure-investigation.md) completed
+unchanged retries, the repeated arithmetic comparison and existing regression
+checks without reproducing the timeout. This page preserves the original failed
+observation rather than overwriting it. The accepted compiler, production sources,
+reducer, published fixtures and encodings remain unchanged. No compiler generation,
+acceptance, or promotion is claimed.
+
+## Broader semantic screen
+
+`test/binding_semantics.py` compiles 32 closed, two-argument programs containing
+eligible Boolean bindings. The grammar includes nested construction, exclusive
+alternatives, conditions using the bound Boolean, and duplicated occurrences in
+exclusive branches. All transforms are performed by the compiled tricu pass;
+compilation then uses the exact accepted stable core worker established in the
+previous stage.
+
+The harness executes **928 paired observations**, each once with the original
+and once with the transformed program:
+
+| Category | Paired checks |
+|---|---:|
+| Fully applied finite values, including noncanonical Boolean trees | 512 |
+| Partially applied functions, including partial/divergent first arguments | 192 |
+| Partial data/conditions with full, root, head, and tail observation | 224 |
+
+All checked results and termination classifications agree with expectations.
+Across 1,856 executions there are 394 expected three-second timeouts. These are
+bounded observations, not proofs of divergence. Cases which have concrete values
+are checked as complete trees; the data oracle independently models lazy
+constructor fields and selector demand, not stable abstraction or the reducer.
+Four additional unit tests check that oracle's lazy-field and selector behavior.
+
+Partial application requires an explicit distinction: **96 checks produce
+different finite function trees**, while retaining matching termination status.
+Those differences are recorded, not hidden or treated as equality. This candidate
+changes function representations, as already disclosed in the earlier stage.
+It is not a proof of equivalence in every intensional source context. The screen
+specifically rejects a newly divergent observation even when a function-tree
+change itself is an expected toolchain difference.
+
+The expanded corpus found no additional demand counterexample. It is still a
+bounded grammar and does not cover every reflective, recursive, effectful, or
+higher-order program.
+
+## Actual unpublished source compiler
+
+`test/binding_compiler_candidate.py` builds a real `sourceBuildGraph` compiler,
+not just a wrapper for hand-authored core inputs.
+
+The builder copies and authenticates every source snapshot listed by the shipped
+compiler metadata into a private workspace. Only that copy of `source_stable`
+is changed: its `stableCompileCore` entry runs the screened transformation before
+unchanged stable elimination. The analyzer, substituter and their helpers are
+private candidate dependencies. Selector and Boolean-negation certificates use
+the retained known compiled literal identities; arbitrary source names do not
+establish a certificate.
+
+The accepted compiler builds this candidate. Its private build completed in
+approximately **379 seconds**, producing a roughly 603 KiB bundle, versus roughly
+575 KiB for the shipped compiler. These are one-off preparation measurements,
+not compiler performance comparisons or self-reproduction evidence.
+
+Artifact: `/tmp/tricu-binding-compiler-first/candidate.arboricx`.
+All source captures, compiler identities and the staged source edit remain in
+that directory with its report. Nothing is installed into `bootstrap/` or `lib/`.
+
+## Cold arithmetic-workspace roadblock
+
+The planned workload builds the actual adder/multiplication investigation modules
+and their native-math, layout, significand, and pipeline dependencies. The same
+source bytes are supplied to both compilers. Output stores are fresh; tool loading
+uses an explicit private store. Processes use one GHC capability and a 2 GiB heap
+limit. The planned repeated comparison randomizes order and excludes first samples.
+
+The first pair did not complete:
+
+| Compiler | Cold compilation result |
+|---|---|
+| Accepted | Completed in **136.13 seconds**; about **148.61 GB cumulative allocation** |
+| Candidate | Exceeded the **270-second process guard**; no completed application bundle |
+
+The candidate's completed dependency receipts include `native_math`, `kernels`,
+and `layouts`. The accepted run also completed `pipelines`, `multiply`, and the
+driver. These receipts identify the unfinished portion of the graph, not an exact
+failing definition or reduction.
+
+The CLI's selected compilation timeout was 240 seconds; the enclosing process
+was independently guarded at 270 seconds. The recorded failure is the enclosing
+wall-time guard. At this stage limits were not raised and the large run was not retried. The
+subsequent linked investigation repeated it under the same limits.
+
+**This is not a statistically established slowdown ratio.** There is one completed
+baseline and one censored candidate run. It does not establish whether the cause
+is excess analysis work, a compilation/demand stall, workload-specific behavior,
+or environmental timing. No allocation total is available for the killed process.
+It would be incorrect to claim an exact candidate overhead or blame the reducer.
+
+The repeated cold-compilation experiment, recursive arithmetic runtime benchmarks,
+and broader existing compiler-suite sweep therefore remain incomplete.
+
+## One bounded small-module diagnostic
+
+To distinguish a total integration failure from a workload-specific/scaling
+problem, `test/binding_compiler_small.py` builds a standalone, import-free module
+containing the 18 earlier controls and small batch consumers.
+
+The actual source compiler reproduces the isolated-core results:
+
+- the single-use, exclusive-branch, and adder Boolean bindings become exactly
+  the accepted compiler's manually inlined function trees;
+- the other 15 controls retain their exact function trees;
+- partial branch/carry observations return their independently expected values;
+- the rejected captured closure and selected divergent branch retain their
+  expected full-observation timeouts;
+- the shared traversal remains exact and has identical measured allocation.
+
+Five fresh-store compilations per tool and five fresh-process runtime invocations
+per workload were performed, in randomized order. The first repetition is excluded
+from medians. Complete results are independently checked. Runtime measurement spans
+invocation through sharing-aware full forcing, before rendering; compilation
+allocation is separately reported as a whole-process total.
+
+### Standalone compilation
+
+| Metric | Accepted median | Candidate median | Candidate / accepted |
+|---|---:|---:|---:|
+| Wall time | 1.860 s | 1.837 s | 0.987 |
+| Cumulative allocation | 9.883 GB | 9.929 GB | 1.0047 |
+
+The small module shows approximately **0.47% more compilation allocation**, with
+no convincing wall-time difference. It does not resolve the cold arithmetic
+workspace failure or justify extrapolating negligible overhead to large programs.
+
+### Standalone runtime
+
+| Workload | Allocation change | Wall-time change |
+|---|---:|---:|
+| 1,024 exclusive-branch cases | **5.1% less** | 1.0% higher |
+| 1,024 isolated full-adder cases | **9.2% less** | 7.3% lower |
+| Shared traversal control | Identical | 3.9% lower |
+
+These runs take roughly 3–7 milliseconds, so small timing differences should be
+treated cautiously. The unchanged sharing control's timing movement illustrates
+the noise. Allocation is stronger evidence here: the transformed controls reduce
+work while the untouched control stays identical.
+
+These are **not** complete recursive-addition or multiplication measurements.
+The previous source-form arithmetic results remain separate evidence; this run
+cannot claim that those gains have been realized by the new compiler on the
+large workload.
+
+## Decision point and recommended diagnosis
+
+The executable transformation now works through an actual source compiler on the
+small controls and shows measurable allocation benefits. But the cold arithmetic
+build failure blocks proceeding toward adoption or interpreting the pass as a
+practical general improvement.
+
+The next bounded investigation should isolate the unfinished dependency/module
+and compare compilation with transformation enabled, disabled, and analysis-only.
+Useful questions include:
+
+1. Is the work spent scanning bindings that the cheap Boolean RHS gate would
+   reject anyway? Currently full use/path analysis precedes that RHS gate.
+2. Does repeated traversal of expanded/shared core syntax dominate on particular
+   source constructs?
+3. Is there a specific rewrite which changes full function construction or
+   compilation termination, rather than simply adding overhead?
+4. Can a narrowed specimen reproduce the stall under a complete allocation/CPU
+   profile, excluding unrelated graph transport and cold-store work?
+
+These are hypotheses, **not established root causes**. A cheap eligibility
+prefilter might help, but changing guard order should not precede establishing
+what actually stalled. No speculative optimizer change was made after the failure.
+
+Before promotion, the existing stable/scope/diagnostic/intensional suites, broader
+real workloads, source freezing, fresh compiler generations, independent audits,
+smokes and retention remain required. This candidate has not reached those gates.
+
+## Artifacts and reproduction
+
+Combined recorded evidence: `bench/binding-compiler-results.json`.
+
+Raw runs:
+
+- `/tmp/tricu-binding-semantics-first`
+- `/tmp/tricu-binding-compiler-first`
+- `/tmp/tricu-binding-compiler-measure` — **incomplete, timed out**
+- `/tmp/tricu-binding-compiler-small`
+
+Harnesses:
+
+- `test/binding_semantics.py`, `test/binding_semantics_test.py`
+- `test/binding_compiler_candidate.py`
+- `test/binding_compiler_measure.py`
+- `test/binding_compiler_small.py`
+
+The first two integration stages take the previous isolated substitution run as
+an explicitly authenticated input. All output directories must be fresh:
+
+```sh
+HOST=$(nix build .# --no-link --print-out-paths)/bin/tricu
+python3 test/binding_semantics_test.py
+python3 test/binding_semantics.py "$HOST" \
+  --previous /tmp/tricu-binding-substitution-final \
+  --directory /tmp/binding-semantics-new
+python3 test/binding_compiler_candidate.py "$HOST" \
+  --previous /tmp/tricu-binding-substitution-final \
+  --semantics /tmp/binding-semantics-new --directory /tmp/binding-compiler-new
+python3 test/binding_compiler_small.py "$HOST" \
+  --candidate /tmp/binding-compiler-new --directory /tmp/binding-small-new
+```
+
+The large measurement harness is retained for reproduction/diagnosis, not as a
+passing benchmark. It stops on the first failed compilation and preserves an
+incomplete report. Do not present its planned repetitions as completed samples.
diff --git a/docs/binding-elimination.md b/docs/binding-elimination.md
@@ -0,0 +1,80 @@
+# Guarded binding elimination in stable compilation
+
+This is a stable compiler improvement, not a third backend. It removes narrowly
+eligible Boolean bindings before existing stable abstraction. The reducer,
+constructor/K safeguards, eta policy, parser, resolver and backend selection are
+unchanged.
+
+## Acceptance policy
+
+Function representations change as compiler implementation changes. That fact
+alone is not a regression or a reason to create a separate backend. Acceptance
+uses targeted tests for new behavior and the existing compiler corpus, rather
+than demanding universal intensional equivalence between compiler revisions.
+
+The specific risks addressed here are capture, closure construction, partial-input
+demand, repeated work, source spans, shadowing and selector identity. The pass is
+not general beta reduction or eta contraction. Sharing and demand counterexamples
+remain negative controls, not dismissed as incidental representation changes.
+
+## Integration
+
+`lib/source/stable.tri` calls `Binding.bindingTransform` before `stableEliminate`.
+The three new implementation modules are:
+
+- `lib/source/binding_support.tri`: compiler-owned helpers and known contracts;
+- `lib/source/binding_analysis.tri`: occurrence, path-use and escape analysis;
+- `lib/source/binding.tri`: capture-avoiding substitution and guarded traversal.
+
+Their dependencies are declared in the existing `bootstrap/compiler-source-map.v1`.
+There is no new backend, profile, generation selector or alternate source map.
+Normal stable tool identities continue to distinguish outputs in stores/receipts.
+
+## Narrow gate
+
+Only an immediate `Apply (Lambda body) rhs` is considered. The body must pass the
+occurrence/path analysis; no nested lambda may occur in it. The RHS must be a
+known Boolean literal or certified Boolean negation of a bound variable or known
+Boolean literal. Unknown consumers, duplicated path uses, escaping captures,
+partial selectors and unsupported core are rejected.
+
+Rejected immediate bindings retain their complete core subtree. Accepted bindings
+are substituted once; there is no fixed-point optimization loop. Substitution
+preserves local scopes and RHS source origins, and restores the binding's outer
+span at the rewritten root.
+
+The public compiler entrypoints close over their own selector and negation trees.
+Contracts are never inferred from source spelling or caller assertions.
+`bootstrap/binding-certificates.json` records the source and exact compiled
+identities; preparation verifies them with both accepted and candidate compilers.
+
+## Evidence before the acceptance checkpoint
+
+- 277 analyses and 1,385 binding decisions/located-core comparisons pass.
+- 18 whole-program core transformations pass.
+- All 76 arithmetic exports match the previously measured candidate exactly.
+- A fresh-store self-rebuild produces the same compiler bundle byte-for-byte.
+- Constructor-K cached invariants, independent construction/demand/diagnostic
+  controls, provenance checks and local-binding controls pass against the actual
+  changed stable source and its new dependencies.
+- Earlier source-owned pass checks also passed 38 ordering/compiled-result cases
+  and 28 stable abstraction cases. Checkpoint testing must use the final stable
+  generation, not an old experimental selector.
+
+The measured recursive arithmetic workload allocated about 10.5% less and ran
+about 10–11% faster, with about 0.51% additional cold-compilation allocation.
+Sharing-control allocation was unchanged. These are bounded-workload results.
+The original timeout did not reproduce with unchanged code/limits; its exact
+cause remains unknown. Historical reports are preserved, not retroactively changed.
+
+## Acceptance and history
+
+The earlier separate-backend scaffold was unnecessary and has been removed.
+`docs/binding-backend-contract.md` and its recorded evidence are historical only.
+The active preparation/validation harnesses are `test/binding_stable_integration.py`
+and `test/binding_stable_validation.py`. They do not claim generation acceptance.
+
+Promotion requires a frozen source commit, the existing stable fresh-generation
+pair, independent audits, generation smokes, retention, and the appropriate
+publication checks described in `docs/compiler-rebuilding.md`. No third-backend
+registration is needed.
diff --git a/docs/binding-failure-investigation.md b/docs/binding-failure-investigation.md
@@ -0,0 +1,229 @@
+> Current integration is a stable compiler change, not a third backend. See
+> [binding elimination](binding-elimination.md); separate-backend stages below
+> are superseded historical experiments.
+
+# Binding compiler timeout: isolation, unchanged retries, and completed measurements
+
+This investigates the [cold-compilation roadblock](binding-compiler-investigation.md).
+
+**Outcome:** the original timeout did not reproduce. The unchanged candidate
+completed a bounded instrumented retry, all ten planned repeated cold compilations,
+full-result arithmetic benchmarks, and the selected existing regression suites.
+No optimizer change or increased process limit was needed. The accepted compiler
+remains untouched and the candidate remains unpublished.
+
+The original timeout's exact cause is **unknown**. The evidence points away from
+a deterministic failure or large inherent overhead in the transformation, but
+does not prove a particular scheduler, filesystem, or resource-contention cause.
+
+## 1. Isolate the suspected unfinished module
+
+The failed run had completed receipts for `native_math`, `kernels`, and `layouts`,
+but not `pipelines`. `test/binding_failure_isolate.py` exported those dependencies
+from both original runs and compared every exported function tree. There were
+**no differences** between the accepted and candidate dependency functions.
+
+The harness then compiled all 53 `pipelines` definitions with immutable prebuilt
+accepted dependencies, separating module compilation from the rest of the cold
+graph build. Both compilers completed under a 55-second process guard:
+
+| Tool | Wall time | Cumulative allocation |
+|---|---:|---:|
+| Accepted | 11.069 s | 71.266 GB |
+| Candidate | 11.113 s | 71.943 GB |
+
+All **53 resulting exported trees are identical** between the two tools. Thus the
+isolated module neither stalls nor shows a changed function-construction result.
+The planned prefix bisection was unnecessary because the entire module passed.
+These are single isolation measurements, not repeated performance medians.
+
+## 2. Repeat the original cold workload with retained progress evidence
+
+`test/binding_failure_cold.py` copies the exact source bytes from the failed
+workspace and uses the same candidate bundle. It retains:
+
+- process output even when a guard fails;
+- elapsed time, sampled process CPU time and RSS;
+- completed module-receipt names over time;
+- whole-process GHC statistics on successful exit.
+
+It runs one fresh-store pair in candidate-first order. The original 240-second
+CLI compilation timeout and 270-second enclosing process guard are unchanged.
+The one-capability and 2 GiB limits are unchanged too.
+
+| Tool | Result | Wall time | Mutator + GC CPU time |
+|---|---|---:|---:|
+| Candidate | Complete | 26.638 s | 23.572 s |
+| Accepted | Complete | 24.775 s | 22.969 s |
+
+The accepted bundle is byte-for-byte equal to the original successful accepted
+build, despite its earlier 136-second elapsed time. Both retry bundles also
+match their respective outputs in every subsequent repeated compilation.
+
+### What this says about the original timeout
+
+The first accepted build took about **136.13 seconds wall time but 25.21 seconds
+mutator + GC CPU time**. The original run therefore already exhibited a large
+wall-versus-CPU gap even without the candidate pass. That is consistent with an
+environmental delay rather than expensive additional compiler computation.
+
+The killed candidate's original process output was not retained: the old monitor
+raised its guard exception before reading its temporary output file. We cannot
+recover a comparable candidate CPU profile or identify its exact wait state.
+The new diagnostic monitor preserves logs/progress without changing the runtime
+or weakening guards.
+
+Consequently, the supported conclusion is **“not reproduced under unchanged
+code and limits”**, not “a specific environmental cause has been proved.” No
+speculative changes to gate ordering, traversal, equality or the reducer were
+made to obtain the passing retries.
+
+## 3. Complete the planned repeated comparison
+
+The original `test/binding_compiler_measure.py` ran unchanged in a fresh output
+directory. All **ten cold compilations** completed: five per tool, randomized
+order, fresh output stores. First repetitions are excluded from the medians.
+The same source workspace, runtime, one-capability setting and heap guard are
+used for both tools.
+
+### Cold compilation overhead
+
+| Metric | Accepted median | Candidate median | Candidate / accepted |
+|---|---:|---:|---:|
+| Wall time | 27.656 s | 27.262 s | 0.986 |
+| Mutator + GC CPU time | 23.459 s | 23.475 s | 1.001 |
+| Cumulative allocation | 148.826 GB | 149.580 GB | 1.0051 |
+
+There is approximately **0.51% additional compilation allocation**, with no
+convincing CPU or wall-time difference. Measured wall times after excluding the
+first repetition range from 25.31–28.50 seconds for the accepted compiler and
+25.11–28.46 seconds for the candidate. These totals include loading, graph IO,
+compilation and packaging; they are not isolated analysis-pass timings.
+
+The original incomplete report remains preserved as a failure observation. It
+has not been overwritten or retroactively treated as a completed sample.
+
+### Actual recursive arithmetic
+
+These are now the real recursive ordered-adder and multiplication programs from
+the arithmetic investigation, not just isolated Boolean truth-table functions.
+The source compiler's emitted `ordered` and `orderedMultiply` trees are **exactly
+equal to the accepted compiler's corresponding manually inlined trees**.
+
+Runtime profiles cover invocation through sharing-aware full forcing, excluding
+rendering. There are five fresh-process invocations per tool/workload, randomized
+order, with the first excluded. Every complete result is checked independently.
+No reused CLI `--repeat` thunk is measured.
+
+| Workload | Accepted allocation | Candidate allocation | Allocation reduction | Wall-time change |
+|---|---:|---:|---:|---:|
+| 16 random 53-bit operand multiplications | 697.267 MB | 623.766 MB | **10.54%** | **10.82% lower** |
+| 16 random 53-bit operand additions | 27.053 MB | 24.199 MB | **10.55%** | **10.14% lower** |
+| 1,024 exclusive-branch cases | 16.428 MB | 15.592 MB | **5.09%** | 1.98% higher |
+| Shared traversal control | 4.718 MB | 4.718 MB | **Identical** | 2.08% higher |
+
+Multiplication median wall times are 98.01 ms versus 87.41 ms. Addition and the
+nonnumeric controls run in only a few milliseconds, so their small timing
+movements deserve caution. Allocation reductions are the stronger evidence;
+the unchanged sharing control remains exact in both function tree and allocation.
+
+There are 40 recorded runtime samples and 30 additional check invocations/events,
+including independent small-number arithmetic outputs, partial-input demand
+controls, and four expected bounded closure/selected-branch timeouts. The 18
+whole-function controls retain the previously established pattern: three become
+the expected inline trees and 15 remain exact.
+
+These measurements establish gains on this bounded workload, not a universal
+speedup or a completed binary64 implementation. Public numeric encodings remain
+uncommitted.
+
+## 4. Existing regression coverage
+
+The actual candidate's `source_order`, `source_stable`, and `source_unit` artifacts
+were exported from its private preparation store. They are not replacement
+published fixtures.
+
+- `test/source_order.py`: **38 cases pass**, including complete ordering,
+  analysis, stable-order, diagnostics and compiled-result comparisons against
+  retained references.
+- `test/stable_abstraction.py`: **28 cases pass**, including complete function
+  construction, ignored/unselected divergence, selected divergence, recursion,
+  captures, shadowing, diagnostics, slicing and parser repetition. These tests
+  also exercise exporting executable artifacts and applying them from fresh
+  stores; this is test-local publication, not toolchain promotion.
+
+The existing abstraction harness expects a `--generation` directory layout. A
+small artifact-only adapter exposes the candidate bundle and preparation store
+in that layout and includes an explicit `NOT-A-GENERATION.json` marker. **No
+compiler generation is claimed.** An independent exact-tree comparison confirms
+that the harness used this candidate's `compileStableModuleDefinitions` worker,
+not the accepted reference worker accidentally.
+
+An additional identity audit checks the candidate stable module against the
+retained stable module. Sixteen exports remain exact, including `stableBracket`,
+`stableEliminate`, `stableTermApply`, `stableFix`, and `stableI`. Only the expected
+three compiler-entry exports change:
+
+- `stableCompileCore`;
+- `sourceCompileStableDefinition`;
+- `sourceCompileStableDefinitionWith`.
+
+The constructor/K and eta machinery therefore has not silently changed as a side
+effect of building the candidate. This exact-tree audit is not presented as a
+rerun of every separate constructor-K test harness.
+
+## Current decision boundary
+
+The subsequent [source-owned integration](binding-backend-contract.md) now makes
+this pass an explicit opt-in experimental backend, with separate profile and
+compiler-owned certificates. Its self-rebuild screen and repeated regression
+checks pass; formal acceptance and default promotion remain unclaimed.
+
+
+The cold-compilation block is no longer reproducible, and the completed evidence
+supports keeping this narrow optimization candidate. It now realizes the earlier
+manual-inlining arithmetic gains with small measured compilation-allocation cost.
+
+It is **not promoted**. Remaining decisions include the intended function-tree
+representation contract, production ownership of selector/RHS certificates,
+reviewable source integration and the appropriate compiler acceptance checkpoint.
+The earlier broader test explicitly recorded finite partial-function tree changes;
+passing these tests is not universal intensional equivalence.
+
+Before adoption, source freezing, fresh self-hosted generation-pair verification,
+independent audits, smokes, retention and publication obligations still apply.
+No source commit was made, no accepted artifact was replaced, and none of those
+acceptance gates is implied by the private build or regression results.
+
+## Evidence and reproduction
+
+Combined new evidence: `bench/binding-failure-results.json`.
+Historical incomplete evidence: `bench/binding-compiler-results.json`.
+
+Raw directories:
+
+- `/tmp/tricu-binding-failure-isolate`
+- `/tmp/tricu-binding-failure-cold`
+- `/tmp/tricu-binding-compiler-measure-retry`
+- `/tmp/tricu-binding-regression-artifacts`
+- `/tmp/tricu-binding-order-regressions`
+- `/tmp/tricu-binding-abstraction-regressions`
+
+New bounded diagnostic harnesses:
+
+```sh
+HOST=$(nix build .# --no-link --print-out-paths)/bin/tricu
+python3 test/binding_failure_isolate.py "$HOST" \
+  --directory /tmp/binding-isolate-new
+python3 test/binding_failure_cold.py "$HOST" \
+  --directory /tmp/binding-cold-new
+python3 test/binding_compiler_measure.py "$HOST" \
+  --candidate /tmp/tricu-binding-compiler-first \
+  --directory /tmp/binding-measure-new
+```
+
+The two diagnostic harnesses explicitly select the prior private candidate and
+failed workspace by default; use their `--candidate` and `--failed` options to
+select relocated evidence. All output directories must be fresh. Recorded source
+hashes and artifact identities distinguish unchanged retries from a different
+candidate.
diff --git a/docs/binding-substitution-candidate.md b/docs/binding-substitution-candidate.md
@@ -0,0 +1,243 @@
+> Current integration is a stable compiler change, not a third backend. See
+> [binding elimination](binding-elimination.md); separate-backend stages below
+> are superseded historical experiments.
+
+# Isolated Boolean-binding substitution candidate
+
+This extends the [analysis-only classifier](binding-analysis-prototype.md) with
+capture-avoiding substitution and a deliberately narrower experimental rewrite.
+It is implemented in tricu, exercised on resolved core, and compiled through the
+accepted stable core compiler. **It is not installed into the production source
+compiler**, and no default compilation behavior has changed.
+
+## Implemented pieces
+
+`bench/binding-substitution.tri` supplies:
+
+- positive de Bruijn index shifting with a cutoff;
+- capture-avoiding removal of one binder;
+- a guarded immediate-binding rewrite;
+- a conservative one-pass traversal over a complete core tree.
+
+The input schema is the existing located core `(kind, (payload, (start, end)))`.
+Inputs must be trusted well-formed core. These functions do not replace frontend
+validation or diagnose every malformed payload.
+
+### Substitution and source origins
+
+To remove a binder, substitution tracks its depth under nested lambdas:
+
+- indices below that depth remain local to the nested scope;
+- the matching index is replaced by the RHS, shifted to avoid capture;
+- indices above it decrease by one to account for the removed binder.
+
+Literal trees remain opaque, including trees that happen to resemble syntax.
+Application, lambda and proper-list core payloads are traversed structurally.
+
+Unchanged nodes retain their spans. Inserted RHS syntax retains its definition's
+spans, rather than pretending to originate at the variable use. The final root
+of a rewritten binding receives the original binding's outer span. This policy
+is explicitly tested; it is not an accidental side effect of substitution.
+
+### Independent oracle
+
+`test/binding_substitution.py` does not validate the tricu implementation by
+copying its index arithmetic. It converts indices into globally fresh binder
+names, performs named substitution, and resolves names back to indices. Its
+shift oracle similarly inserts a gap in the outer environment. Body and RHS
+local names occupy separate fresh namespaces.
+
+The recorded run compares complete located core trees for **195 substitutions**
+and **128 shifts**, including generated nested lambdas/lists and explicit capture,
+shadowing, outer-index, zero-shift, and span-origin cases.
+
+## Narrow rewrite gate
+
+The rewrite considers only an immediate core application:
+
+```
+Apply (Lambda body) rhs
+```
+
+It requires all of the following:
+
+1. The previous use/path analysis classifies the body as a candidate.
+2. The RHS is either a literal Boolean tree, or a fully applied **certified
+   Boolean negation** whose argument is a bound variable or literal Boolean.
+3. The body contains **no nested lambda at all**, even one not mentioning the
+   eliminated variable. This is deliberately stricter than the first screen.
+
+The Boolean-result contract is trusted and bound to an exact compiled literal
+identity, like the selector certificate. It is not inferred from a name such as
+`not`. The integration harness compiles the known selector and negation with
+the accepted compiler and records their exact tree and source identities.
+
+The candidate does not yet admit arbitrary computations which might return a
+Boolean, arbitrary constructor-valued RHSs, lambda RHSs, or negation applied to
+an unknown computation. This leaves the motivating `not carry` case available
+without using a broad function-valued substitution rule.
+
+New diagnostics supplement the original analysis categories:
+
+| Code | Meaning |
+|---|---|
+| 7 | RHS does not meet the narrow Boolean gate |
+| 8 | Nested lambda anywhere in the body |
+| 9 | Node is not an immediate binding |
+
+Only code 1 rewrites. Every other decision returns the original core exactly.
+The whole-tree traversal treats an immediate binding as one decision unit:
+if it is rejected, **none of its descendants are rewritten**. Accepted bindings
+are substituted once; there is no fixed-point optimization loop. Other enclosing
+applications, lambdas and lists are traversed normally to find bindings.
+
+This conservative policy avoids claiming that a rejected parent remains
+unchanged while silently optimizing code underneath it.
+
+## Isolated compiled pipeline
+
+The harness stages the analyzer and substitution sources in a private workspace.
+It obtains a retained `stableCompileCore` worker from authenticated fixtures and
+checks two facts:
+
+- its source snapshot matches the inspected stable abstraction source;
+- its **entire exact function tree occurs in the reachable closure of the shipped
+  `sourceBuildGraph` compiler**.
+
+This second check binds the retained worker to the actual accepted compiler,
+not merely to a matching source filename. Original and transformed core are
+then separately compiled using that worker and executed on the unchanged
+Haskell reducer.
+
+There is no replacement parser, no host numeric implementation, and no reducer
+modification. The Python named-variable implementation supplies independent
+expectations; the actual candidate transformation is performed by compiled
+tricu code.
+
+## Results
+
+### Structural transformation checks
+
+There are **142 immediate-binding decisions** checked against complete expected
+outputs, including all source spans. Eight are rewritten; every rejected node
+is byte-for-byte unchanged. Generated raw-core tests establish manipulation and
+gating behavior, not semantic equivalence of every possible open core program.
+
+The whole-program corpus contains 18 earlier controls. Only three change:
+
+| Program | Decision |
+|---|---|
+| Single-use Boolean binding | Rewrite |
+| Exclusive-branch Boolean binding | Rewrite |
+| Adder-shaped negation binding | Rewrite |
+| Constructor-valued binding | Reject: RHS outside narrow gate |
+| Duplicated traversal | Reject: multiple path uses |
+| Captured computation in returned lambda | Reject: lambda crossing |
+| Unused divergent binding | Leave unchanged |
+| Closed divergent branch binding | Reject: uncertified RHS |
+| Eta controls and already-inline programs | Unchanged |
+
+For the three admitted programs, the candidate's emitted function tree is
+**exactly equal to the corresponding manually inlined control's tree**. The
+remaining 15 whole-program cores and their emitted function trees remain exact.
+This connects the new transformation to the previously measured source-form
+change without claiming a new runtime benchmark result.
+
+### Application, demand, and sharing controls
+
+Independent concrete results include all Boolean combinations for branch and
+isolated-adder functions, actual list traversal outputs, unused divergent values,
+and unselected divergent branches.
+
+Ten additional original/candidate partial-result checks cover:
+
+- an ignored divergent flag;
+- negation of a known Stem whose child diverges, observing only the known result;
+- a known zero carry despite an unknown operand bit;
+- a known one carry despite an unknown incoming carry.
+
+All return the expected results for both original and transformed programs.
+This includes the demand shape that exposed the earlier incorrect mux adder.
+
+The captured-closure and selected-divergent-branch controls are rejected by the
+pass, remain exact compiled trees, and retain their expected three-second
+full-observation timeouts in both versions. Four such bounded failures are
+recorded separately from successful value checks. A timeout is experimental
+bounded evidence, not a general proof of divergence.
+
+The sharing control is not rewritten and retains its exact core and function
+tree, rather than merely returning the same duplicated list by a more expensive
+implementation.
+
+`test/binding_substitution_test.py` adds seven intent tests for index handling,
+source origins, outer-span restoration, RHS/lambda rejection, and the rule that
+a rejected binding's descendants are left alone. The prior four classifier
+intent tests also pass.
+
+## What is and is not established
+
+This is now an **executable isolated rewrite candidate**, not only an occurrence
+classifier. Its substitution mechanics, rejection behavior, known emitted trees,
+and selected runtime observations have been checked.
+
+It is still not a universal equivalence proof for all reflective source contexts.
+The three transformed functions intentionally have different code trees from
+the originals. As with other compiler/backend changes, inspecting those function
+representations can distinguish the toolchains. The tests do not promise that
+an arbitrary intensional comparison involving a rewritten function is unchanged.
+The narrower obligations checked here include preserving the rejected closure
+hazard, ordinary data results, and explicitly tested partial-input demand.
+
+No new performance percentage is claimed. The previous adder benchmark motivates
+the pass, and these controls prove correspondence to selected inline trees, but
+the candidate has not yet been integrated into a source compiler or measured on
+whole compilation workloads. It adds analysis work whose compile-time cost must
+also be measured.
+
+## Next acceptance boundary
+
+The [broader semantic and unpublished source-compiler investigation](binding-compiler-investigation.md)
+records the next stage and its initial cold-compilation timeout. A subsequent
+[failure investigation](binding-failure-investigation.md) completed unchanged
+retries, full arithmetic measurements and existing regression checks without
+reproducing that timeout. None of the adoption gates below has been waived.
+
+
+Before considering adoption:
+
+1. Broaden generated **closed-program** semantic/demand tests beyond raw-core
+   manipulation, including reflective contexts with explicit expected outcomes.
+2. Integrate only into an unpublished compiler candidate, with a defined
+   certificate authority and eligibility diagnostics; do not trust source names.
+3. Run the existing stable function-construction, local-scope, diagnostics,
+   sharing, and intensional test suites.
+4. Measure compile-time overhead and runtime effects on the original recursive
+   arithmetic workload and unrelated real programs.
+5. Decide and document the intended function-representation changes at the
+   toolchain boundary before any promotion.
+
+K eligibility and eta policy remain untouched. Public numeric encodings remain
+uncommitted, and the accepted compiler remains byte-for-byte unchanged.
+
+## Artifacts and reproduction
+
+- Tricu candidate: `bench/binding-substitution.tri`
+- Integration/oracle harness: `test/binding_substitution.py`
+- Intent tests: `test/binding_substitution_test.py`
+- Recorded evidence: `bench/binding-substitution-results.json`
+- Raw run: `/tmp/tricu-binding-substitution-final`
+
+The report records 114 successful invocation checks plus the four expected
+bounded demand failures, source/certificate/compiler/runtime hashes, 18 program
+comparisons, and the exact shipped-core-worker identity check.
+
+```sh
+HOST=$(nix build .# --no-link --print-out-paths)/bin/tricu
+python3 test/binding_analysis_test.py
+python3 test/binding_substitution_test.py
+python3 test/binding_substitution.py "$HOST" \
+  --directory /tmp/binding-substitution-new
+```
+
+Use a fresh directory and normal assertion settings. Compilation and execution
+have explicit memory and time bounds. No accepted artifacts are published.
diff --git a/docs/float-layout-investigation.md b/docs/float-layout-investigation.md
@@ -0,0 +1,167 @@
+# Binary64 layout investigation — first screen
+
+Status: investigation only. No public number encoding, arithmetic API, compiler,
+reducer, or published fixture has changed. These workers are bit-container
+experiments, **not a floating-point implementation**.
+
+## Contract and questions
+
+Target binary64 semantics with pure Tree Calculus arithmetic. Keep internal
+working representation separate from public values and exact IEEE bit exchange.
+Preserve all 64 input bits in interchange, including signed zero and NaN payloads;
+NaN propagation during arithmetic is a separate policy still to specify.
+
+First question: how much does accessing/unpacking existing binary64 data cost?
+Later questions: which significand layout and normalization policy minimize the
+cost of correctly rounded arithmetic, and whether public and working layouts
+should differ.
+
+## Reducer inspection
+
+`src/Runtime/Tree.hs` uses lazy Haskell constructors and a small `apply` function.
+There are no native numeric primitives. A constructor can hold unevaluated
+branches. Traversing a bit spine costs reductions; a bounded natural used as a
+word does not acquire machine-word arithmetic. Sharing is inherited from host
+thunks, not a general memo table for equivalent applications.
+
+Do not use `bench/ApplyStats.hs`'s strict threaded evaluator as the timing oracle:
+its strict arguments/intermediates change demand relative to the reference
+reducer. Do not use CLI `--repeat` for independent work: `src/Main.hs` binds the
+applied term outside the repetition loop, allowing previous forcing to be reused.
+
+`--profile-full-result` uses `forceTreeShared` to force the complete finite output
+while avoiding repeated visits to physically shared nodes. Profiling samples
+perform collections; therefore deltas include sampling/GC overhead. Allocation
+is cumulative allocated bytes, **not live memory**.
+
+## Candidates and method
+
+`bench/float-layouts.tri` compares:
+
+- fields: `Fork sign (Fork biasedExponent rawFraction)`;
+- packed: one canonical natural holding the 64-bit IEEE pattern;
+- words: `Fork low32 high32`, both canonical naturals;
+- bytes: eight canonical octets in a little-endian proper list.
+
+Sign is a Boolean tree in the fields representation. Exponent and fraction are
+raw IEEE fields, not yet a normalized arithmetic significand/exponent tuple.
+
+Each candidate extracts signs, extracts exponents, and unpacks to the same
+fields tree. Inputs come from Python integer bit operations. The corpus includes
+positive/negative zeros, minimum/maximum subnormals, minimum normals, adjacent
+values around one, maximum finite values, infinities, signaling/quiet NaN bit
+patterns, and deterministic random words. Complete output trees are checked
+against independently constructed expectations on every invocation.
+
+The generic variants intentionally remain as algorithm controls. The `Fast`
+variants use fixed-width bit splicing rather than natural multiplication by
+powers of two and numeric-counter extraction. They are candidates, not a claim
+of optimal code. Fixed splices canonicalize zero fields and zero-extend short
+natural encodings.
+
+Runs use fresh processes, one Haskell capability, a 2 GiB heap limit, bounded
+process/whole-run time, randomized job order, and five repetitions. The first
+repetition is excluded from summaries; it is not a warmed evaluation thunk.
+Compilation/import are outside measurement. Timing runs from invocation start
+through complete output forcing, before rendering. Input construction not
+already forced by loading can contribute to this interval. The harness also
+checks sign projection with divergent unrelated fields.
+
+The constant-sign consumer is a profiling/traversal control, not a value to
+subtract from every observation. Short timings are noisy, including cases where
+a simpler control is measured slower than a projection.
+
+## Initial results
+
+Built the current Haskell host with `nix build .# --no-link --print-out-paths`.
+Exact runtime, compiler, source, harness and worker-bundle hashes, samples, and
+min/max/median values are retained in `bench/float-layout-results.json`.
+
+Medians below are **per batch**, not per scalar operation. MB are decimal
+allocated megabytes, not peak residency. Full unpack uses the fixed-splice
+variants for packed/words/bytes.
+
+| Workload | 128 values ms / MB | 512 values ms / MB |
+|---|---:|---:|
+| Fields sign | 1.00 / 1.02 | 2.16 / 3.95 |
+| Packed sign | 3.42 / 12.37 | 10.21 / 49.39 |
+| Words sign | 2.38 / 6.75 | 6.55 / 26.87 |
+| Bytes sign | 2.04 / 3.66 | 4.65 / 14.49 |
+| Fields unpack | 4.47 / 6.30 | 15.69 / 28.09 |
+| Packed unpack | 22.93 / 125.10 | 90.87 / 501.68 |
+| Words unpack | 25.58 / 111.87 | 80.78 / 449.09 |
+| Bytes unpack | 23.49 / 100.13 | 80.58 / 402.09 |
+
+At 128 values, generic byte unpack took 646.78 ms and allocated 4751.82 MB,
+versus 23.49 ms / 100.13 MB with direct bit splicing. This is primarily an
+**algorithm effect**, not evidence that bytes themselves are unusable.
+
+All 190 timed invocations across both runs matched their complete expectations;
+the four additional divergent-field demand checks passed. That is 60,800
+per-value workload checks, not 60,800 distinct input words or IEEE arithmetic
+tests. Python syntax compilation and whitespace checks also passed.
+
+### What these results establish
+
+- Direct fields avoid substantial extraction work on this reducer.
+- Splitting packed storage changes access costs; all compact layouts should not
+  be treated as equivalent.
+- Fixed-width tree operations materially outperform generic natural arithmetic
+  for these particular bit-manipulation tasks.
+
+### What they do not establish
+
+- An overall winning float representation. Field unpack is effectively identity,
+  and the output format is deliberately fields: this screen measures the cost of
+  reaching that working representation, not an unbiased arithmetic competition.
+- Relative arithmetic speed, packed storage footprint, retained heap size, or
+  round-trip/formatting costs.
+- Correct rounding, arithmetic NaN policy, or binary64 conformance.
+- Small timing differences between the optimized packed/word/byte variants are
+  stable enough to choose among them.
+
+## Next investigation stage
+
+The first significand results are now available in the
+[shift/rounding/normalization investigation](float-significand-investigation.md).
+They cover LSB/MSB direction, width-cache costs, and rounded chains; blocked
+layouts and complete arithmetic pipelines remain open.
+
+
+1. Compare LSB-first significands, MSB-first significands, and blocked variants
+   on equivalent operations, including the cost of maintaining their invariants.
+2. Compare a normalized 53-bit significand against odd-significand storage;
+   compare cached bit lengths with recomputation. Include subnormals, whose
+   leading-bit behavior differs from normal numbers.
+3. Implement and independently check right-shift-with-sticky, normalization,
+   round-to-nearest/ties-to-even, aligned addition/subtraction, and 53-by-53-bit
+   products. Test cancellation, carry growth, ties, and exponent gaps beyond
+   the significand width. No intermediate shift should scale blindly with an
+   arbitrary exponent gap.
+4. Measure full output, chained consumers, sign/exponent-only demand, allocation,
+   and retained-memory behavior separately. Include packing/unpacking amortized
+   across chains rather than charging it to every operation by assumption.
+5. Add correctly rounded division and exact bit-level differential tests before
+   selecting a public encoding. Float arithmetic needs a software reference
+   with explicit rounding semantics, not merely the host's decimal formatting.
+
+Do not freeze the public representation from this first screen.
+
+## Reproduce
+
+From the repository root (use fresh output directories):
+
+```sh
+HOST=$(nix build .# --no-link --print-out-paths)/bin/tricu
+python3 test/float_layouts.py "$HOST" \
+  --directory /tmp/float-layouts-128 --size 128 --repeats 5
+python3 test/float_layouts.py "$HOST" \
+  --directory /tmp/float-layouts-512 --size 512 --repeats 5
+```
+
+The harness explicitly selects the repository's shipped stable compiler, stages
+isolated sources, and retains source snapshots, compiled bundle, input/output
+trees, command logs, samples and a report in the output directory. A failed run
+leaves `complete: false`; failure is not silently excluded from successful
+measurements. Python assertions follow the existing probe harness convention;
+run without `python -O`.
diff --git a/docs/float-multiply-investigation.md b/docs/float-multiply-investigation.md
@@ -0,0 +1,272 @@
+# Float investigation — multiplication work, source form, and demand
+
+This continues the [rounded-pipeline investigation](float-pipeline-investigation.md).
+The lazy Haskell reducer is the established performance baseline, not an assumed
+bottleneck. Neither reducer nor production compiler/library code changed here.
+LSB-first remains a control/candidate, not a frozen public float encoding.
+
+## Questions
+
+- Does recursive source form, rather than arithmetic work, explain much of the
+  multiplication cost?
+- Can useful significand invariants avoid computation?
+- Which apparent improvements preserve the partial-input behavior of existing
+  `lib/math/native.tri` arithmetic?
+- Is there a concrete compiler investigation lead, rather than a blanket
+  assumption that its output is inefficient?
+
+Two bounded experiments answer parts of these questions. Neither instrumented
+reduction counts nor a strict surrogate evaluator was used. Timing, cumulative
+allocation, compiled-tree structure, and demand probes are distinct observations.
+
+## 1. Multiplication alternatives
+
+Workers: `bench/float-multiply.tri`. Harness: `test/float_multiply.py`.
+
+| Variant | Change relative to native natural multiplication |
+|---|---|
+| native | Existing local-recursive binary Horner multiplication |
+| hoisted | Same recurrence, explicit top-level recursive operand parameter |
+| topBit | Return multiplicand at the highest canonical multiplier bit |
+| fused | Specialize `a + 2*p`: emit the low bit and add the remaining tails |
+| positive | Additionally omit zero-normalizing shifts; positive multiplicand required |
+| accumulate | Low-to-high shifted-factor accumulator |
+| karatsuba | One 26-bit split, three native leaf products and recombination |
+| mux | Native recurrence with a different full-adder Boolean expression |
+| adaptive | Count set bits and choose the sparser operand as multiplier |
+
+Each variant was measured with three consumers:
+
+- full exact product;
+- the generic 53-bit rounding pipeline;
+- a normalized-53-bit-input pipeline that knows the product is 105 or 106 bits
+  and determines its rounding shift from a fixed bit rather than computing width.
+
+The latter invariant is an explicit internal contract, not a replacement for
+arbitrary natural multiplication. Positive specialization likewise is not
+validated on zero multiplicands.
+
+### Correctness and demand
+
+The general corpus has 360 input pairs (small exhaustive values, power/limb
+boundaries up to 106 bits, and random inputs). Exact and generic-rounded workers
+are checked in batches. The positive variant excludes zero multiplicands.
+The bounded-width workers have another 73 normalized-input pairs. There are
+180 finite-value validation invocations, 27 separate demand probes, and 540
+checked measured invocations across 108 workload groups.
+
+Demand probes ask whether multiplying a partially defined input by zero, one,
+or two permits a known output to be observed. For example, let:
+
+```
+a = Fork True (diverging computation)
+```
+
+The existing `N.multiply` can return the low bit of `a * 1` (1), or of `a * 2`
+(0), without inspecting that divergent tail. These are numeral-shaped partial
+inputs, not complete finite numeric values.
+
+Karatsuba and adaptive scheduling failed the latter two probes within the
+three-second limit; their zero-right probes succeeded. Source inspection explains
+the additional demand: popcount scheduling inspects the operand, and the
+Karatsuba recombination/subtractions require information beyond the requested
+low bit. A timeout is recorded as bounded experimental evidence, not itself a
+proof of divergence. Both passed their complete finite-value arithmetic checks.
+
+The other variants passed these three probes. This is **not** proof of general
+demand equivalence: the second experiment below finds a difference those probes
+missed in the mux adder.
+
+### Results
+
+Medians for **batches of eight normalized 53-bit pairs**, full exact products:
+
+| Variant | Random ms / allocated MB | Dense ms / allocated MB |
+|---|---:|---:|
+| native | 53.84 / 413.62 | 100.27 / 812.03 |
+| hoisted | 53.31 / 414.60 | 105.23 / 813.09 |
+| topBit | 53.88 / 417.61 | 104.48 / 816.11 |
+| fused | 56.91 / 410.69 | 107.99 / 800.89 |
+| positive | 54.81 / 407.88 | 101.76 / 799.33 |
+| accumulate | 92.53 / 612.59 | 133.26 / 1023.05 |
+| karatsuba | 60.85 / 420.61 | 101.85 / 722.73 |
+| mux | 57.09 / 384.05 | 91.66 / 713.63 |
+| adaptive | 46.88 / 379.08 | 109.45 / 825.92 |
+
+No convincing allocation improvement comes from hoisting recursion alone.
+Removing the highest-bit work or specializing shifts also buys little here.
+The accumulator is worse on these random/dense inputs. One-level Karatsuba is
+not a universal win at this precision; this does not establish its crossover
+point or rule out other splits/recursive strategies.
+
+Operand shape matters greatly. With a sparse *left* operand, native took
+45.11 ms / 373.40 MB and adaptive took 4.87 ms / 22.25 MB. With a sparse *right*
+operand, native already took 3.26 ms / 14.74 MB, while adaptive took
+3.61 ms / 22.11 MB. The recurrence performs additions according to multiplier
+bits; swapping operands can avoid arithmetic work, but determining whether to
+swap adds work and changes partial-input demand.
+
+Known product width removes a modest amount of allocation: random native
+rounded output was 406.91 MB versus 394.73 MB with the known-width consumer.
+Wall medians were 63.83 and 64.30 ms, so this run does **not** establish a timing
+win. Exact product allocation was 413.62 MB: asking for a rounded answer does
+not necessarily force every bit of the exact intermediate product. The lazy
+consumer matters, even when source code denotes an exact product first.
+
+### Compiler and runtime observations
+
+The inspected `source_compile`, `source_core`, and `source_stable` files match
+the shipped compiler's accepted source hashes. The stable backend deliberately
+restricts constructor folding and binder-independent pruning; arbitrary closed
+computations and eta rewrites are not automatically safe in this language.
+
+Compiled reachable DAG sizes for native/hoisted were 537/533 nodes, with distinct
+structural fingerprints. These sizes characterize stored function trees, not
+runtime reductions. Similar arithmetic cost despite different recursive source
+form gives no justification for a general lambda-lifting/compiler rewrite.
+
+The run also records GC elapsed time and live bytes after complete forcing.
+For random native exact products, sampled GC elapsed time was 4.45 ms of the
+53.84 ms interval. This is not a decomposition of every runtime cost, but it
+does not support calling GC pauses the sole dominant expense. Post-force live
+bytes were about 94 KB despite 414 MB of cumulative allocation. That is an
+endpoint snapshot, **not peak residency**, and includes host state. Negative
+live deltas simply mean earlier reachable inputs/workers became collectible.
+These observations do not establish that laziness itself is the problem.
+
+Full data: `bench/float-multiply-results.json`; raw run:
+`/tmp/tricu-float-multiply-measured`.
+
+## 2. Isolate the adder and inspect Boolean demand
+
+Workers: `bench/float-adders.tri`. Harness: `test/float_adders.py`.
+
+The native full-adder carry is equivalent on total Booleans to:
+
+```
+(a && b) || (carry && (a || b))
+```
+
+The first mux rewrite used:
+
+```
+if a then (b || carry) else (b && carry)
+```
+
+With `a = False`, `carry = False`, and unknown/divergent `b`, the native
+expression produces False without inspecting `b`. The rewritten expression
+inspects `b` first. The corrected order is:
+
+```
+if a then (b || carry) else (carry && b)
+```
+
+This is not a theoretical concern only. On the actual sum trees, the probe
+
+```
+head (tail (add 2 (Fork (diverging computation) 1)))
+```
+
+asks for bit 1 of either 4 or 5. The answer is 0 in either case. Native returns
+it; the original mux exceeded the three-second limit; both corrected variants
+return it. Interestingly, a probe skipping to bit 2 succeeds even for the
+original mux: that later carry can become known independently. Demand is
+consumer-specific, not simply “this function is strict.”
+
+`test/float_adders_demand_test.py` additionally checks all 27 assignments of
+False/True/bottom to the full-adder's three Boolean inputs. Native and corrected
+carry functions agree on that flat domain; the sum expressions also agree.
+This supplements real tricu tests, not a proof about arbitrary intensional tree
+contexts or all partial numeral computations.
+
+### Source-form control
+
+The corrected `ordered` version binds `neg = not carry` once. The `inline`
+version writes `not carry` in each of two mutually exclusive branches instead.
+The carry operand order is identical. Only one of those negations is needed in
+any evaluation of the result bit, so there is no obvious dynamic sharing benefit
+from this particular binding.
+
+This creates a narrow source-form comparison, not a recommendation to remove
+all `let` bindings. Shared computations elsewhere can be essential.
+
+### Validation and results
+
+There are 324 addition pairs for each full/low-bit/next-bit consumer and each of
+four variants. Five actual partial-input probes are run per variant. Only the
+original mux's unknown-low/bit-1 probe times out; all others return expected
+values. The run has 280 measured invocations across 56 groups, plus independent
+product checks. Every complete finite result is checked against Python integers.
+
+Medians for **batches of 16**, random inputs:
+
+| Worker | 53-bit full add ms / MB | 106-bit full add ms / MB | 53-bit exact products ms / MB |
+|---|---:|---:|---:|
+| native | 6.30 / 30.05 | 12.01 / 59.62 | 142.76 / 818.13 |
+| original mux | 6.07 / 27.78 | 11.29 / 55.16 | 137.64 / 758.89 |
+| ordered mux | 6.27 / 27.88 | 11.20 / 55.37 | 138.55 / 760.18 |
+| inline ordered mux | 5.67 / 24.94 | 9.75 / 49.49 | 119.60 / 679.95 |
+
+In the random multiplication batch, the corrected inline variant reduces
+allocation by about **17%** relative to native. Relative to the ordered bound
+version, about **11%** of allocation disappears from this source-form change.
+The product recurrence is otherwise unchanged. Carry-pattern additions with a
+small second operand show much less separation; many operations take existing
+successor/empty-operand paths rather than the full-adder path.
+
+Compiled DAG sizes were native 430, original/ordered mux 444, inline 412. Here
+source size/shape and measured work move together, but static DAG node count is
+not a general cost metric: the first experiment already showed its limitations.
+
+All variants were also measured with only the low or next result bit demanded.
+Their small timings are dominated enough by sampling overhead that the full
+results and targeted bottom probes provide stronger evidence than tiny timing
+rankings.
+
+Full data: `bench/float-adder-results.json`; raw run:
+`/tmp/tricu-float-adders-measured`.
+
+## Interpretation and next questions
+
+The subsequent [stable binding/abstraction investigation](abstraction-binding-investigation.md)
+now reproduces emitted trees with an independent finite model, attributes the
+extra abstraction work, and includes nonnumeric sharing, captured-closure, and
+eta-observation counterexamples. No production compiler changes were made.
+
+
+- The strongest wins so far come from requesting less arithmetic work or
+  expressing an inner operation more cheaply, not replacing the reducer.
+- A mathematically correct rewrite can still have the wrong demand. Numeric
+  differential tests alone missed the first mux counterexample.
+- The ordered-inline adder is a credible **compiler investigation lead**:
+  why does this exclusive-branch binding produce more runtime work? Before any
+  compiler change, isolate the lowering, characterize when inlining is safe,
+  and test sharing/demand/structural-observation consequences outside arithmetic.
+- Sparse-operand scheduling remains a possible explicit finite-input strategy,
+  not a transparent rewrite of partial-input multiplication.
+- Full binary64 semantics, correctly rounded division, bounded exponent
+  alignment, and public value invariants remain open. These benchmarks have not
+  committed the representation or established a general compiler optimization.
+
+## Reproduce
+
+Both measurement harnesses use fresh processes, one capability, a 2 GiB heap
+limit, explicit time budgets, shuffled workload order, and five repetitions
+with the first excluded. Timing includes invocation through sharing-aware full
+forcing before rendering, including profiling collection overhead. Inputs are
+supplied at runtime, not compiled as constant answers. Allocation is cumulative,
+not peak/live memory. Separate runs use different deterministic corpora; compare
+variants within a run rather than treating their absolute times as identical jobs.
+
+```sh
+HOST=$(nix build .# --no-link --print-out-paths)/bin/tricu
+python3 test/float_adders_demand_test.py
+python3 test/float_multiply.py "$HOST" \
+  --directory /tmp/float-multiply-new --size 8 --repeats 5
+python3 test/float_adders.py "$HOST" \
+  --directory /tmp/float-adders-new --size 16 --repeats 5
+```
+
+Use fresh output directories and normal assertion settings. Reports preserve
+source/compiler/runtime hashes and demand-failure diagnostics. No production
+encoding, compiler, reducer, or math API was changed.
diff --git a/docs/float-pipeline-investigation.md b/docs/float-pipeline-investigation.md
@@ -0,0 +1,203 @@
+# Binary64 investigation — blocked significands and rounded pipelines
+
+Third screen, following [layout access](float-layout-investigation.md) and
+[significand kernels](float-significand-investigation.md). No public encoding,
+math API, production compiler or reducer changes.
+
+## What was measured
+
+`bench/float-pipelines.tri` compares existing canonical LSB-first naturals with
+**radix-256 little-endian lists of canonical natural octets**. Empty list means
+zero; only the highest limb must be nonzero. Intermediate low zero limbs remain
+present. A limb is still a tree, not a machine word.
+
+The blocked implementation has its own addition with carry, nonnegative
+subtraction with borrow, schoolbook multiplication, width calculation,
+right-shift/sticky extraction, increment, and nearest/ties-to-even rounding.
+It does not convert entire operands to naturals for arithmetic. Multiplication
+uses natural arithmetic within each bounded digit product/carry. This is one
+blocked candidate, not a claim that every limb size or algorithm has been tested.
+
+All arithmetic pipelines calculate an exact unsigned integer result, round it
+to at most 53 significant bits, and return:
+
+```
+(removedBinaryScale, (roundedSignificand, inexact))
+```
+
+A carry into bit 54 is renormalized without a second rounding. After rounding,
+a fixed-position bit check suffices to detect that carry; both candidates use
+this rather than recomputing the full width. Before rounding, width is computed
+from the exact result in each layout.
+
+Measured operations:
+
+- same-scale addition and nonnegative subtraction;
+- exact 53-by-53-bit multiplication followed by 53-bit rounding;
+- three successive rounded multiplications, accumulating scale and inexact flags;
+- bounded exact alignment followed by addition/subtraction and rounding;
+- blocked rounding at small, byte-aligned, near-width, and far shift counts;
+- conversion-only controls, separate from arithmetic.
+
+The arithmetic output remains in its candidate layout. Input conversion is not
+silently charged to only one side. Both pipelines preserve their own layout
+through chained operations.
+
+### Scope boundaries
+
+These are **unsigned significand pipelines**, not complete binary64 operations.
+Scale is relative to a common input unit; there is not yet a signed exponent,
+subnormal-range clamp, infinity/NaN handling, signed-zero policy, or division.
+Subtraction inputs satisfy the internal precondition `a >= b` after alignment.
+
+Alignment controls construct an exact shift with gaps bounded to 0..54. They
+are deliberately not proposed as the production algorithm for arbitrarily
+large exponent gaps: the eventual float implementation must use guard/sticky
+bounds for that case. Separately tested right shifts do terminate promptly at
+the end of a finite input even when the shift count is `2^128`.
+
+The three-multiply chain is rounded after each operation. It is not a fused
+expression or a single final rounding of the exact triple product.
+
+## Avoiding an unfair blocked implementation
+
+An initial blocked rounding formulation shifted by `k-1` to expose the guard
+bit and then shifted again. That forced unnecessary residual-bit reconstruction,
+particularly when `k` was byte aligned. The recorded candidate instead extracts
+guard/sticky directly from the boundary octet and builds the quotient once.
+Byte-aligned quotients can reuse an input suffix. The original split formulation
+remains an experimental control, not the implementation used by recorded
+`limbRound` or arithmetic timings.
+
+This distinction changed byte-aligned rounding from an apparent weakness to a
+strength. It reinforces the earlier lesson: compare credible implementations,
+not just the first translation of an algorithm into each layout.
+
+## Validation and reproducibility
+
+`test/float_pipelines.py` stages all sources and selects the shipped stable
+compiler explicitly. The successful recorded run checked:
+
+- 819 shift/round inputs against exact-integer expectations for blocked shift
+  and blocked rounding;
+- 257 arithmetic input pairs for both layouts, each through add, subtract,
+  multiply and three-step chain;
+- 234 aligned input triples through both aligned operations in both layouts;
+- 18 direct final-rounding boundary values in both layouts, including carry into
+  bit 54 and below/tie/above cases near a power of two;
+- conversion in both directions and limb widths;
+- all 260 measured invocations against their complete expected result trees.
+
+There are 185 validation invocations (many contain batches) and 52 measured
+workload groups. Each timing group has five fresh-process repetitions, with the
+first excluded from summaries. Timed batches contain 16 values. Inputs include
+random normalized significands, all-one/carry patterns, and cancellation to
+zero or a small difference. Shift tests include 53- and 106-bit values.
+
+`test/float_pipelines_oracle_test.py` independently compares the Python oracle
+against binary64 host integer conversion over 642 values, normalized products
+and chains over 256 pairs, and explicit carry cases. It requires a radix-2,
+53-bit Python float host and skips otherwise. This supplements, rather than
+replaces, exact-integer expectations. The prior Fraction-based rounding-oracle
+suite also passes.
+
+Timing runs from invocation start through sharing-aware full-result forcing,
+before rendering. Compilation/loading are outside this interval; profiling
+collection overhead is included. Input forcing not already done by loading may
+contribute. Each process has a 2 GiB heap limit and a time budget. Randomized
+execution order, raw samples, ranges, provenance hashes, and medians are retained
+in `bench/float-pipeline-results.json`. The raw run directory is
+`/tmp/tricu-float-pipelines-boundaries`.
+
+## Recorded results
+
+All times below are **batch medians for 16 values**, not scalar operation times.
+MB means cumulative decimal megabytes allocated, not peak/live memory.
+
+### Random normalized 53-bit significands
+
+| Pipeline | LSB ms / MB | Radix-256 ms / MB |
+|---|---:|---:|
+| Add then round | 9.69 / 48.16 | 23.50 / 125.50 |
+| Subtract then round | 10.80 / 58.68 | 14.72 / 81.04 |
+| Multiply then round | 118.08 / 770.68 | 176.94 / 1249.91 |
+| Three rounded multiplies | 331.19 / 2322.86 | 536.22 / 3766.58 |
+
+LSB also uses less allocation for the recorded carry-heavy, cancellation, and
+bounded-alignment pipelines. Cancellation timings are small/noisy enough that
+close rankings should not be treated as universal performance laws. The
+allocation differences are more stable.
+
+Carry-heavy multiplication costs much more in both implementations: LSB
+250.91 ms / 1689.16 MB versus blocked 322.92 ms / 2232.40 MB. Input shape matters;
+random products alone would understate worst-case work.
+
+### Rounding 53-bit significands
+
+| Shift regime | LSB ms / MB | Radix-256 ms / MB |
+|---|---:|---:|
+| Small: 1, 2, 3, 7 | 1.47 / 3.51 | 13.28 / 73.53 |
+| Byte aligned: 8, 16, 24, 32 | 4.39 / 18.62 | 1.48 / 3.65 |
+| Near width: 52, 53, 54 | 8.67 / 47.39 | 3.07 / 15.64 |
+| Far: 2046 and `2^128` | 8.63 / 47.23 | 2.18 / 6.00 |
+
+These LSB shift comparisons are **uncached**. The previous investigation already
+showed that known widths eliminate most far-gap scanning. The blocked far-gap
+result is therefore not evidence that it beats a metadata-aware LSB float
+implementation. Byte-aligned suffix reuse, however, is a genuine advantage of
+this blocked layout for that workload.
+
+## Interpretation and current direction
+
+1. **Existing LSB naturals remain the strongest general working-significand
+   candidate among those tested.** The earlier kernel advantage survives these
+   arithmetic pipelines; it was not merely a field-access artifact.
+2. Radix-256 earns its place as a serious candidate, especially for byte-aligned
+   movement, but it does not win overall here. Fewer limbs do not imply less
+   reduction when every digit operation is still implemented with trees.
+3. Metadata-aware bounds and specialized bit movement remain useful regardless
+   of layout. Neither a cached width nor a conversion should be treated as free.
+4. Absolute multiplication cost is substantial: the random LSB pipeline averages
+   roughly 7.4 ms and 48 MB of allocation per value in this small-batch screen.
+   These are not production throughput guarantees or lower bounds, but they make
+   multiplication a clear tuning target. Correctness alone does not yet make
+   this an application-ready numerical library.
+
+## Remaining decision work
+
+The subsequent [multiplication/source-form/demand investigation](float-multiply-investigation.md)
+compares nine multiplication strategies and isolates a full-adder demand
+counterexample plus a corrected source-form improvement. The reducer and
+production compiler remain unchanged; LSB is still a control, not a commitment.
+
+
+The evidence now supports making LSB the primary implementation candidate rather
+than giving every representation equal attention indefinitely. Before freezing a
+public representation or claiming IEEE conformance:
+
+- tune/profile the multiply-and-round path, including known-width specialization
+  and alternative multiplication algorithms where their overhead is justified;
+- implement bounded exponent alignment with cancellation-safe addition and
+  subtraction, rather than extrapolate the exact-alignment controls;
+- add correctly rounded division and full binary64 boundary behavior, including
+  subnormal transitions and overflow;
+- measure retained-memory/demand behavior and whole-operation conversion costs;
+- decide public value invariants and exceptional-value policy separately from
+  the internal working representation.
+
+No host IO or host floating-point arithmetic is used by the candidate workers.
+A future host service remains possible through the separate exact IEEE-bit
+interchange boundary discussed in the first investigation.
+
+## Reproduce
+
+```sh
+HOST=$(nix build .# --no-link --print-out-paths)/bin/tricu
+python3 test/float_significands_oracle_test.py
+python3 test/float_pipelines_oracle_test.py
+python3 test/float_pipelines.py "$HOST" \
+  --directory /tmp/float-pipelines-new --size 16 --repeats 5
+```
+
+Use a fresh output directory and do not disable Python assertions. Failed runs
+retain diagnostics with `complete: false` rather than being counted as samples.
diff --git a/docs/float-significand-investigation.md b/docs/float-significand-investigation.md
@@ -0,0 +1,200 @@
+# Binary64 significand investigation — shift, rounding, normalization
+
+This follows the [layout-access screen](float-layout-investigation.md). It is
+still an investigation: no public arithmetic or value encoding has changed.
+The workers in `bench/float-significands.tri` execute entirely in Tree Calculus;
+Python is only the input generator and external correctness oracle.
+
+## Questions and representations
+
+Compare:
+
+- **LSB-first:** existing canonical naturals, with a high 1 and empty zero.
+- **MSB-first:** canonical Boolean bit lists, with a leading 1 and empty zero.
+- **Cached variants:** `(width, bits)` with trusted, accurate bit length.
+
+These are working significands, not complete float values. They have no sign,
+exponent, NaN, or infinity handling. Widths of 53 and 106 model binary64 precision
+and an exact product's maximum width. Tests also include shorter values and zero.
+
+Kernels:
+
+1. Right shift returning `(quotient, discardedNonzero)`.
+2. Round `n / 2^k` to nearest integer, ties to even, returning `(rounded, inexact)`.
+3. Exact odd-significand normalization, returning `(removedPowersOfTwo, bits)`.
+4. Three successive rounded shifts, with each operation rounded separately.
+5. Conversion and bit-length-only controls.
+
+The shift result retains the sticky flag **separately**; it is not a jammed
+integer with sticky ORed into its low bit. Rounding increment carry is preserved
+(including a result wider than the retained prefix). This is a primitive for a
+float implementation, not yet final rounding into binary64's exponent range.
+
+## Algorithms and cache accounting
+
+LSB shifts/rounding consume discarded low bits and can reuse the untouched high
+suffix. Rounding consults the guard bit, accumulated sticky flag, and retained
+low-bit parity. Increment uses the existing natural successor.
+
+MSB operations determine the retained prefix from width and shift count. They
+copy that prefix, inspect the discarded suffix for guard/sticky, and propagate
+rounding carry back toward the most significant bit. A separate conversion is
+not included in these measurements; output remains in the input layout.
+
+Uncached MSB operations compute width. Cached operations receive it as an input
+invariant. Separate build-cache controls charge width computation. The maintained
+MSB variant returns a new cache calculated from retained width and carry; it does
+not walk the output to discover its length. Chains compare rebuilding versus
+maintaining that cache. The ordinary cached single-operation variants return
+bits, **not an updated cache**; do not interpret their times as complete cache
+maintenance costs.
+
+Cached LSB variants cap work when the shift exceeds the known width. This
+avoids scanning a whole significand when the answer can be determined from
+metadata. The uncached LSB variant still terminates at the end of the input:
+a count of `2^128` never causes that many recursive steps. Trusted cache inputs
+are not a proposed unchecked public API for arbitrary trees.
+
+Both directions have costs beyond list length: LSB operations can share a
+suffix, whereas MSB operations rebuild a prefix. Full-result observation retains
+this real distinction rather than forcing both implementations into a common
+output layout and silently charging conversion to one side.
+
+## Correctness and methodology
+
+`test/float_significands.py` checks 819 deterministic cases against exact Python
+integer arithmetic for each of 18 workers, plus five demand/huge-count probes.
+Coverage includes:
+
+- all values 0..63 and shifts 0..9;
+- widths 1, 2, 8, 24, 53, 54, and 106;
+- exact powers of two, powers plus one, and all-one significands;
+- below-half, exact-half, and above-half residues;
+- even/odd retained quotients and carry growth;
+- shifts zero, near width, beyond width, 2046, and `2^128`;
+- cache accuracy in maintained outputs and in chains;
+- zero-shift demand which must not force an unused significand.
+
+The Python rounding oracle is separately cross-checked by
+`test/float_significands_oracle_test.py`: 2,560 small cases use exact `Fraction`
+distance and even-result tie breaking rather than the guard/sticky algorithm.
+It also checks huge counts and a concrete double-rounding counterexample. A
+chain of rounded operations is intentionally not equated to one final rounding.
+
+The recorded run has **500 measured invocations**, all checked against full
+expected trees. Each batch contains 96 values. There are 100 workload groups,
+five fresh-process repetitions, and four retained timing samples per group.
+The whole-run time and process heap are bounded. As in the first screen,
+compilation/loading are outside the measured invocation-through-full-force
+interval, rendering follows it, and profiling collection overhead is included.
+Allocation means cumulative allocated bytes, not peak memory.
+
+Randomized job ordering, initial-repetition exclusion, raw samples, min/max and
+medians follow the first screen. Results and artifact/source hashes are recorded
+in `bench/float-significand-results.json`. Raw logs and staged source/input/output
+snapshots remain in `/tmp/tricu-float-significands-final` for this run.
+
+## Results: workload matters
+
+Below are batch medians for **96 53-bit significands**, in milliseconds and
+allocated decimal MB. MSB cached here means preexisting width and bits-only
+output. Short timings are noisy; allocation differences and large timing gaps
+are stronger evidence than close rankings.
+
+| Round workload | LSB ms / MB | Cached LSB ms / MB | Cached MSB ms / MB |
+|---|---:|---:|---:|
+| Small shifts: 1, 2, 3, 7; random bits | 5.41 / 21.29 | 6.08 / 24.55 | 41.74 / 277.58 |
+| Small shifts; all-one bits (long carries) | 7.95 / 46.59 | 9.12 / 49.85 | 37.67 / 288.33 |
+| Near width: 52, 53, 54; random bits | 44.80 / 284.15 | 26.73 / 201.05 | 6.01 / 38.17 |
+| Near width; powers of two / powers plus one | 44.38 / 284.14 | 28.32 / 200.99 | 10.17 / 59.08 |
+| Far shifts: 2046 and `2^128` | 37.93 / 283.20 | 1.70 / 7.94 | 1.98 / 8.92 |
+
+The sparse near-width control matters: random MSB suffixes usually reveal a
+sticky 1 quickly. Sparse suffixes can require much more traversal. It narrows the
+advantage without reversing it in this implementation. Long carry chains also
+increase LSB costs but do not reverse the small-shift result.
+
+### Cache construction is not free
+
+On the mixed 53-bit batch:
+
+| Round strategy | ms | Allocated MB |
+|---|---:|---:|
+| LSB without metadata | 22.37 | 135.76 |
+| LSB with supplied width | 14.70 | 71.16 |
+| LSB computing width for this operation | 20.83 | 128.31 |
+| MSB without metadata | 26.48 | 202.10 |
+| MSB with supplied width | 23.39 | 146.05 |
+
+Computing a cache just to throw it away is not the same proposition as carrying
+metadata that arithmetic can maintain cheaply. The synthetic mix gives equal
+frequency to very different shifts; it is not an application workload model.
+
+### Chains reward maintained metadata, but not enough to decide the layout
+
+Three rounded shifts on the mixed 53-bit batch:
+
+| Chain | ms | Allocated MB |
+|---|---:|---:|
+| LSB | 28.46 | 160.18 |
+| MSB, recompute width | 66.86 | 452.30 |
+| MSB, supplied initial width then rebuild | 63.30 | 396.02 |
+| MSB, maintain width from carries/counts | 45.03 | 324.32 |
+
+At 106 bits, LSB versus maintained MSB was 43.38 ms / 277.40 MB versus
+97.21 ms / 714.00 MB. Zero and large-shift cases can collapse a chain early;
+these are complete chain workloads, not three independent scalar timings.
+
+### Odd normalization favors the existing direction
+
+For mixed random 53-bit inputs, exact odd normalization cost 3.80 ms / 6.68 MB
+LSB-first versus 19.47 ms / 102.25 MB MSB-first. In the sparse powers-of-two control,
+it was 8.37 ms / 54.34 MB versus 19.01 ms / 123.32 MB.
+
+This supports the claim that removing low zero bits is convenient in the
+existing representation. It does **not** prove that always normalizing floats to
+odd significands is desirable: restoring implicit width and managing exponents
+may outweigh that convenience. The public representation remains undecided.
+
+## Current interpretation
+
+- LSB-first remains a strong working-significand candidate. Its small-shift,
+  normalization, and measured-chain behavior withstands adversarial controls.
+- MSB-first has a real advantage for some near-total discards; dismissing it
+  based only on small shifts would be wrong.
+- Width/exponent-derived bounds can matter more than bit direction for far
+  alignment gaps. We should exploit known binary64 precision where possible
+  rather than automatically storing or recomputing redundant metadata.
+- A single direction need not serve every stage, but conversion has real cost:
+  LSB-to-MSB for a mixed 53-bit batch cost 7.29 ms / 27.58 MB. A hybrid needs to
+  amortize that cost, not assume reversal is free.
+
+## Still required before selection
+
+The next [blocked-significand and arithmetic-pipeline screen](float-pipeline-investigation.md)
+is now available. It covers radix-256 arithmetic and bounded aligned pipelines;
+full binary64 semantics and division remain open.
+
+
+Blocked/limb candidates have not yet been compared on these kernels. Neither
+have complete aligned addition/subtraction (especially cancellation), exact
+products plus final rounding, correctly rounded division, or retained-heap
+behavior. The 106-bit inputs here model size, not the distribution of products.
+There is no binary64 arithmetic conformance claim yet.
+
+Next, compare blocked bit operations and use these primitives in equivalent
+addition/subtraction and multiplication pipelines. Include subnormal transitions,
+rounding overflow, and exponent metadata maintenance. Only then compare whole
+operation and chain costs to choose public and working representations.
+
+## Reproduce
+
+```sh
+HOST=$(nix build .# --no-link --print-out-paths)/bin/tricu
+python3 test/float_significands_oracle_test.py
+python3 test/float_significands.py "$HOST" \
+  --directory /tmp/float-significands-new --size 96 --repeats 5
+```
+
+Use a fresh directory and normal Python assertion settings (not `python -O`).
+Failed runs leave `complete: false` and retain diagnostic files.
diff --git a/lib/source/binding.tri b/lib/source/binding.tri
@@ -0,0 +1,96 @@
+-- Isolated resolved-core substitution and Boolean-binding rewrite prototype.
+-- Trusted well-formed core only. Not wired into the accepted compiler.
+!import source_binding_analysis as A
+!import native_math as N
+!import source_binding_support as K
+!export bindingTransform
+!export bindingInspect
+!export bindingAnalyze
+head = K.head
+tail = K.tail
+kind = A.kind
+payload = A.payload
+lazy = K.lazy
+choose = K.choose
+rebuild original value = t (kind original) (t value (tail (tail original)))
+withSpan original value = t (kind value) (t (payload value) (tail (tail original)))
+-- Positive de Bruijn shift. Local variables below cutoff are unchanged.
+shift amount cutoff node = lazy (_ : node)
+  (_ : case kind node of
+    2 = lazy (_ : rebuild node (N.add amount (payload node))) (_ : node) (N.gte (payload node) cutoff)
+    3 = let ab = payload node in rebuild node
+      (t (shift amount cutoff (head ab)) (shift amount cutoff (tail ab)))
+    4 = rebuild node (shift amount (N.successor cutoff) (payload node))
+    8 = rebuild node (K.map (child : shift amount cutoff child) (payload node))
+    _ = node) (N.zero amount)
+-- Remove one surrounding binder. RHS is in the outer scope, not that binder's.
+substitute rhs depth node = case kind node of
+  2 = lazy (_ : shift depth 0 rhs)
+    (_ : lazy (_ : rebuild node (N.predecessor (payload node))) (_ : node)
+      (N.gt (payload node) depth)) (N.equal (payload node) depth)
+  3 = let ab = payload node in rebuild node
+    (t (substitute rhs depth (head ab)) (substitute rhs depth (tail ab)))
+  4 = rebuild node (substitute rhs (N.successor depth) (payload node))
+  8 = rebuild node (K.map (child : substitute rhs depth child) (payload node))
+  _ = node
+containsLambda node = case kind node of
+  4 = t t
+  3 = let ab = payload node in K.either (containsLambda (head ab)) (containsLambda (tail ab))
+  8 = (let rec walk xs = K.triage t (_ : t t)
+        (a b : K.either (containsLambda a) (walk b)) xs in walk (payload node))
+  _ = t
+boolTree value = K.triage (t t) (child : N.zero child) (_ _ : t) value
+leafLiteral node = lazy (_ : t t)
+  (_ : lazy (_ : N.zero (payload node)) (_ : t) (N.equal (kind node) 5)) (N.equal (kind node) 1)
+-- Literal Boolean trees, including the core constructor spelling `t t`.
+boolLiteral node = case kind node of
+  1 = t t
+  5 = boolTree (payload node)
+  6 = boolTree (payload node)
+  3 = let ab = payload node in K.both (leafLiteral (head ab)) (leafLiteral (tail ab))
+  _ = t
+-- The literal identity is matched only when saturated with one argument.
+-- The harness authenticates the certificate's Boolean-result contract.
+booleanRhs negation node = lazy (_ : t t)
+  (_ : lazy
+    (_ : let ab = payload node in let fun = head ab in let arg = tail ab in
+      K.both (K.either (N.equal (kind arg) 2) (boolLiteral arg))
+        (K.both (N.equal (kind fun) 5) (A.equal (payload fun) negation)))
+    (_ : t) (N.equal (kind node) 3)) (boolLiteral node)
+-- Input node must be Apply (Lambda body) rhs. The screening certificate is
+-- still experimental, not a general proof for arbitrary reflective contexts.
+-- 0..6: analysis decisions; 7: uncertified RHS; 8: any nested body lambda;
+-- 9: not an immediate binding. Only decision 1 performs substitution.
+rewrite selector negation node = lazy
+  (_ : let ab = payload node in let fun = head ab in
+    lazy
+      (_ : let body = payload fun in let rhs = tail ab in
+        let decision = A.classify (A.analyze selector body) in
+        lazy
+          (_ : lazy (_ : t 7 node)
+            (_ : lazy (_ : t 8 node)
+              (_ : t 1 (withSpan node (substitute rhs 0 body))) (containsLambda body))
+            (K.not (booleanRhs negation rhs)))
+          (_ : t decision node) (N.equal decision 1))
+      (_ : t 9 node) (N.equal (kind fun) 4))
+  (_ : t 9 node) (N.equal (kind node) 3)
+-- Batch transport helpers for independent host oracles.
+shiftBatch inputs = K.map (x : let rest = tail x in shift (head x) (head rest) (tail rest)) inputs
+substituteBatch inputs = K.map (x : substitute (head x) 0 (tail x)) inputs
+rewriteBatch certificates nodes = K.map (node : rewrite (head certificates) (tail certificates) node) nodes
+-- Conservative whole-core traversal: an immediate binding is a decision unit.
+-- Rejected bindings are returned exactly, without rewriting their descendants.
+-- Accepted bindings are substituted once; no fixed-point rewrite loop.
+transform selector negation node = case kind node of
+  3 = let ab = payload node in
+    lazy (_ : tail (rewrite selector negation node))
+      (_ : rebuild node (t (transform selector negation (head ab))
+        (transform selector negation (tail ab)))) (N.equal (kind (head ab)) 4)
+  4 = rebuild node (transform selector negation (payload node))
+  8 = rebuild node (K.map (child : transform selector negation child) (payload node))
+  _ = node
+-- Public compiler entrypoints close over compiler-owned literal identities.
+-- Callers supply trusted located core, never selector/negation certificates.
+bindingTransform core = transform K.choose K.not core
+bindingInspect node = rewrite K.choose K.not node
+bindingAnalyze body = A.inspect (t K.choose body)
diff --git a/lib/source/binding_analysis.tri b/lib/source/binding_analysis.tri
@@ -0,0 +1,88 @@
+-- Analysis-only prototype over trusted resolved-core nodes. NOT a rewrite pass.
+-- Input: (certified selector tree, core body under the proposed binding).
+-- Selector certificate means exactly three arguments, first two exclusive,
+-- third selector evaluated once. Caller authenticates that contract.
+!import native_math as N
+!import source_binding_support as K
+!export analyze
+!export classify
+!export equal
+!export kind
+!export payload
+!export inspect
+triage = K.triage
+head = K.head
+tail = K.tail
+choose = K.choose
+lazy = K.lazy
+or = K.either
+kind node = head node
+payload node = head (tail node)
+-- (syntactic uses, (max path uses, (under lambda, (unknown consumer,
+--   (partial selector, malformed))))). Booleans are canonical.
+summary uses paths escape unknown partial bad = t uses (t paths (t escape (t unknown (t partial bad))))
+empty = summary 0 0 t t t t
+one = summary 1 1 t t t t
+uses x = head x
+paths x = head (tail x)
+escape x = head (tail (tail x))
+unknown x = head (tail (tail (tail x)))
+partial x = head (tail (tail (tail (tail x))))
+bad x = tail (tail (tail (tail (tail x))))
+merge a b = summary (N.add (uses a) (uses b)) (N.add (paths a) (paths b))
+  (or (escape a) (escape b)) (or (unknown a) (unknown b))
+  (or (partial a) (partial b)) (or (bad a) (bad b))
+flagUnknown x isPartial = summary (uses x) (paths x) (escape x)
+  (or (unknown x) (N.gt (uses x) 0))
+  (or (partial x) (K.both isPartial (N.gt (uses x) 0))) (bad x)
+flagEscape x = summary (uses x) (paths x) (or (escape x) (N.gt (uses x) 0))
+  (unknown x) (partial x) (bad x)
+choice a b c = let flags = merge (merge a b) c in
+  summary (uses flags) (N.add (N.maximum (paths a) (paths b)) (paths c))
+    (escape flags) (unknown flags) (partial flags) (bad flags)
+-- Pure tree equality, only on finite authenticated literal trees.
+equal a b = triage (triage (t t) (_ : t) (_ _ : t) b)
+  (x : triage t (y : equal x y) (_ _ : t) b)
+  (x y : triage t (_ : t) (u v : K.both (equal x u) (equal y v)) b) a
+-- Peel a left-associated application into (head, argument list).
+peel node args = lazy
+  (_ : let ab = payload node in peel (head ab) (t (tail ab) args))
+  (_ : t node args) (N.equal (kind node) 3)
+walkArgs visit depth xs = triage empty (_ : summary 0 0 t t t (t t))
+  (a b : merge (visit depth a) (walkArgs visit depth b)) xs
+isSelector selector node = lazy (_ : equal selector (payload node)) (_ : t) (N.equal (kind node) 5)
+-- Only explicit Leaf or literal Leaf/Stem heads with exact constructor arity.
+constructorSlots node = lazy (_ : 2)
+  (_ : lazy (_ : triage 2 (_ : 1) (_ _ : 0) (payload node)) (_ : 0) (N.equal (kind node) 5))
+  (N.equal (kind node) 1)
+application visit selector depth node = let spine = peel node t in
+  let fun = head spine in let args = tail spine in let arity = K.width args in
+  let all = merge (visit depth fun) (walkArgs visit depth args) in
+  lazy
+    (_ : lazy
+      (_ : choice (visit depth (head args)) (visit depth (head (tail args)))
+        (visit depth (head (tail (tail args)))))
+      (_ : flagUnknown all (N.lt arity 3)) (N.equal arity 3))
+    (_ : lazy (_ : all) (_ : flagUnknown all t)
+      (K.both (N.gt (constructorSlots fun) 0) (N.lte arity (constructorSlots fun))))
+    (isSelector selector fun)
+analyze selector body = let rec
+  visit depth node = case kind node of
+    1 = empty
+    2 = choose one empty (N.equal (payload node) depth)
+    3 = application visit selector depth node
+    4 = flagEscape (visit (N.successor depth) (payload node))
+    5 = empty
+    6 = empty
+    7 = empty
+    8 = walkArgs visit depth (payload node)
+    _ = summary 0 0 t t t (t t)
+  in visit 0 body
+-- Diagnostic categories, not a proof that all structural observations agree:
+-- 0 unused (leave alone), 1 candidate, 2 multiple uses on a path,
+-- 3 crosses lambda, 4 unknown consumer, 5 partial selector, 6 malformed kind.
+classify x = choose 6 (choose 3 (choose 5 (choose 4
+  (choose 0 (choose 2 1 (N.gt (paths x) 1)) (N.zero (uses x)))
+  (unknown x)) (partial x)) (escape x)) (bad x)
+inspect input = let result = analyze (head input) (tail input) in t (classify result) result
+batch selector bodies = K.map (body : inspect (t selector body)) bodies
diff --git a/lib/source/binding_support.tri b/lib/source/binding_support.tri
@@ -0,0 +1,15 @@
+-- Compiler-owned helpers and exact-identity contracts for the opt-in binding backend.
+-- choose: saturated three-argument selector; not: canonical Boolean negation.
+-- Neither contract is inferred from a user-supplied source name.
+!import native_math as N
+!export *
+triage leaf stem fork = t (t leaf stem) fork
+choose yes no value = triage no (_ : yes) (_ _ : yes) value
+lazy yes no value = choose yes no value t
+head value = triage t (_ : t) (a _ : a) value
+tail value = triage t (_ : t) (_ b : b) value
+both a b = choose b t a
+either a b = choose (t t) b a
+not value = choose t (t t) value
+map f xs = triage t (_ : t) (a b : t (f a) (map f b)) xs
+width xs = triage 0 (_ : 0) (_ rest : N.successor (width rest)) xs
diff --git a/lib/source/stable.tri b/lib/source/stable.tri
@@ -6,6 +6,7 @@
 !import source_resolve *
 !import source_program *
 !import source_order *
+!import source_binding as Binding
 !export stableTermApply
 !export stableApplication
 !export stableBracket
@@ -156,7 +157,7 @@ stableWaitSelf = sourceCoreFixWaitSelf
 stableFix      = sourceCoreFix
 
 stableBind        result next = lazyResult (problem rest : err problem rest) (value unused : next value) result
-stableCompileCore core        = sourceRunTerm (stableEliminate core)
+stableCompileCore core        = sourceRunTerm (stableEliminate (Binding.bindingTransform core))
 
 -- Determine self-reference with the ordinary lexical free-name traversal. A
 -- parameter/local/pattern capture of the same spelling is not recursion.
diff --git a/test/abstraction_binding_model.py b/test/abstraction_binding_model.py
@@ -0,0 +1,159 @@
+"""Independent finite model of stable abstraction, for attribution not timing.
+
+Literal trees are interned DAG IDs. This is NOT a replacement runtime: final
+normalization is eager and used only for the finite compiled function controls.
+"""
+from collections import Counter
+from dataclasses import dataclass
+
+
+def var(name): return ('var',name)
+def call(f,*args):
+    for a in args: f=('app',f,a)
+    return f
+
+def lam(name,body): return ('lam',name,body)
+def let(name,value,body): return call(lam(name,body),value)
+
+def source(expr):
+    kind=expr[0]
+    if kind=='var': return expr[1]
+    if kind=='app': return '('+source(expr[1])+' '+source(expr[2])+')'
+    if kind=='lam': return '('+expr[1]+' : '+source(expr[2])+')'
+    raise ValueError(expr)
+
+
+def programs():
+    x,f,z=map(var,['x','flag','z'])
+    leaf=var('t')
+    neg=call(var('negate'),x)
+    cons=lambda a,b:call(leaf,a,b)
+    choose=lambda a,b:call(var('choose'),a,b,f)
+    wrap=lambda body:lam('flag',lam('x',body))
+    bodies={
+      'etaExpanded':lam('f',lam('arg',call(var('f'),var('arg')))),
+      'etaContracted':lam('f',var('f')),
+      'singleBound':wrap(let('z',neg,cons(z,x))),
+      'singleInline':wrap(cons(neg,x)),
+      'branchBound':wrap(let('z',neg,choose(cons(z,x),cons(x,z)))),
+      'branchInline':wrap(choose(cons(neg,x),cons(x,neg))),
+      'constructorBound':wrap(let('z',call(leaf,x),choose(cons(z,x),cons(x,z)))),
+      'constructorInline':wrap(choose(cons(call(leaf,x),x),cons(x,call(leaf,x)))),
+      'sharedBound':lam('x',let('z',call(var('copy'),x),cons(z,z))),
+      'sharedInline':lam('x',cons(call(var('copy'),x),call(var('copy'),x))),
+      'closureBound':lam('x',let('z',call(var('loop'),x),lam('ignored',z))),
+      'closureInline':lam('x',lam('ignored',call(var('loop'),x))),
+      'unusedBound':lam('x',let('z',call(var('loop'),leaf),x)),
+      'unusedInline':lam('x',x),
+      'closedBranchBound':lam('flag',let('z',call(var('loop'),leaf),choose(z,leaf))),
+      'closedBranchInline':lam('flag',choose(call(var('loop'),leaf),leaf)),
+    }
+    a,b,c=map(var,['abit','bbit','carry'])
+    select=lambda yes,no,flag:call(var('choose'),yes,no,flag)
+    carry=select(call(var('either'),b,c),call(var('both'),c,b),a)
+    def bit(neg):
+        return select(select(c,neg,b),select(neg,c,b),a)
+    wrap3=lambda body:lam('abit',lam('bbit',lam('carry',body)))
+    bodies['adderBound']=wrap3(let('z',call(var('negate'),c),cons(bit(z),carry)))
+    bodies['adderInline']=wrap3(cons(bit(call(var('negate'),c)),carry))
+    return bodies
+
+
+@dataclass(frozen=True)
+class Term:
+    kind: int
+    value: object
+    shape: int
+    bound: int
+
+
+class Model:
+    def __init__(self,intern,globals):
+        self.intern=intern
+        self.globals=globals
+        self.stats=Counter()
+        self.leaf=intern.node((0,))
+        self.k=intern.node((1,self.leaf))
+        self.i=intern.node((2,intern.node((1,self.k)),self.leaf))
+        self.brackets=[]
+
+    def literal(self,tree):
+        return Term(1,tree,self.intern.nodes[tree][0]+1,0)
+
+    def variable(self,index): return Term(2,index,4,index+1)
+
+    def raw(self,f,x):
+        bound=min([n for n in [f.bound,x.bound] if n] or [0])
+        shape=f.shape+1 if f.shape in [1,2] and x.shape else 0
+        return Term(3,(f,x),shape,bound)
+
+    def apply(self,f,x):
+        if f.kind==x.kind==1:
+            tree=self.intern.nodes[f.value]
+            if tree[0]==0:
+                self.stats['literal_leaf_fold']+=1
+                return self.literal(self.intern.node((1,x.value)))
+            if tree[0]==1:
+                self.stats['literal_stem_fold']+=1
+                return self.literal(self.intern.node((2,tree[1],x.value)))
+        return self.raw(f,x)
+
+    def lower(self,t):
+        if not t.bound:return t
+        if t.kind==2:return self.variable(t.value-1)
+        if t.kind==3:return Term(3,tuple(self.lower(c) for c in t.value),t.shape,t.bound-1)
+        return t
+
+    def bracket(self,t):
+        if t.kind==1:
+            self.stats['literal_K']+=1
+            return self.apply(self.literal(self.k),t)
+        if t.kind==2:
+            if t.value==0:
+                self.stats['identity']+=1
+                return self.literal(self.i)
+            self.stats['variable_K']+=1
+            return self.apply(self.literal(self.k),self.variable(t.value-1))
+        if t.kind==3:
+            if t.bound!=1 and t.shape:
+                self.stats['constructor_K']+=1
+                return self.apply(self.literal(self.k),self.lower(t))
+            key='independent_computation_distribution' if t.bound!=1 else 'dependent_distribution'
+            self.stats[key]+=1
+            left,right=map(self.bracket,t.value)
+            return self.apply(self.apply(self.literal(self.leaf),self.apply(self.literal(self.leaf),left)),right)
+        raise ValueError(t)
+
+    def eliminate(self,expr,stack=()):
+        kind=expr[0]
+        if kind=='var':
+            name=expr[1]
+            if name in stack:return self.variable(stack.index(name))
+            return self.literal(self.leaf if name=='t' else self.globals[name])
+        if kind=='app':return self.apply(self.eliminate(expr[1],stack),self.eliminate(expr[2],stack))
+        if kind=='lam':
+            body=self.eliminate(expr[2],(expr[1],)+stack)
+            before=self.stats.copy()
+            result=self.bracket(body)
+            self.brackets.append(dict(binder=expr[1],counts=dict(self.stats-before)))
+            return result
+        raise ValueError(expr)
+
+    def tree_apply(self,f,x):
+        a=self.intern.nodes[f]
+        if a[0]==0:return self.intern.node((1,x))
+        if a[0]==1:return self.intern.node((2,a[1],x))
+        p=self.intern.nodes[a[1]]
+        if p[0]==0:return a[2]
+        if p[0]==1:return self.tree_apply(self.tree_apply(p[1],x),self.tree_apply(a[2],x))
+        q=self.intern.nodes[x]
+        if q[0]==0:return p[1]
+        if q[0]==1:return self.tree_apply(p[2],q[1])
+        return self.tree_apply(self.tree_apply(a[2],q[1]),q[2])
+
+    def run(self,t):
+        if t.kind==1:return t.value
+        if t.kind==3:return self.tree_apply(self.run(t.value[0]),self.run(t.value[1]))
+        raise ValueError('unbound residual')
+
+    def compile(self,expr):return self.run(self.eliminate(expr))
diff --git a/test/abstraction_bindings.py b/test/abstraction_bindings.py
@@ -0,0 +1,181 @@
+#!/usr/bin/env python3
+"""Attribute stable let/abstraction costs using exact-tree model and nonnumeric probes."""
+import argparse
+import hashlib
+import json
+import platform
+import random
+import statistics
+from pathlib import Path
+
+from float_multiply import Runner,sha
+from base_workloads import encode as nat
+from http_headers import LEAF,TRUE,pair,tree_list,expect
+from bundle_dag import Intern,read
+from abstraction_binding_model import Model,programs,source
+
+ROOT=Path(__file__).resolve().parent.parent
+HELPERS='''!export *
+triage leaf stem fork = t (t leaf stem) fork
+choose yes no value = triage no (_ : yes) (_ _ : yes) value
+negate x = choose t (t t) x
+both a b = choose b t a
+either a b = choose (t t) b a
+head x = triage t (_ : t) (a _ : a) x
+tail x = triage t (_ : t) (_ b : b) x
+map f xs = triage t (_ : t) (a b : t (f a) (map f b)) xs
+copy xs = triage t (_ : t) (a b : t (t a) (copy b)) xs
+loop x = loop x
+'''
+
+
+def main():
+    p=argparse.ArgumentParser(description=__doc__)
+    p.add_argument('tricu',type=Path)
+    p.add_argument('--directory',type=Path,required=True)
+    p.add_argument('--repeats',type=int,default=5)
+    args=p.parse_args()
+    if not 3<=args.repeats<=10:p.error('repeats 3..10')
+    root=args.directory.resolve();root.mkdir(parents=True,exist_ok=False)
+    runner=Runner(args.tricu,root,600,memory_mib=2048)
+    body=HELPERS
+    exprs=programs()
+    for name,expr in exprs.items():body+=name+' = '+source(expr)+'\n'
+    for name in exprs:
+        if name.startswith('adder'):continue
+        if name.startswith(('single','branch','constructor')):
+            body+=f'run{name} xs = map (p : {name} (head p) (tail p)) xs\n'
+        else:body+=f'run{name} xs = map {name} xs\n'
+    # An unselected branch must ignore its closed divergent value. A pair's
+    # first projection must not force a diverging second field.
+    for role in ['Bound','Inline']:
+        body+=f'unusedDemand{role} x = unused{role} (t t)\n'
+        body+=f'unselectedDemand{role} x = closedBranch{role} t\n'
+        body+=f'selectedDemand{role} x = closedBranch{role} (t t)\n'
+        body+=f'branchDemand{role} x = head (branch{role} (t t) t)\n'
+        body+=f'invokeClosure{role} x = (closure{role} x) t\n'
+    body+='etaExpandedApplied x = (etaExpanded t) x\netaContractedApplied x = (etaContracted t) x\n'
+    path=root/'driver.tri';path.write_text(body)
+    report=dict(complete=False,runtime_sha256=sha(args.tricu),compiler_sha256=sha(ROOT/'bootstrap/build-stable.arboricx'),
+                harness_sha256=sha(Path(__file__)),model_sha256=sha(ROOT/'test/abstraction_binding_model.py'),
+                runner_dependency_sha256=sha(ROOT/'test/float_multiply.py'),source_sha256=sha(path),platform=platform.platform(),
+                model=[],demand=[],samples=[],summaries=[])
+    try:
+        tool=runner.imported(ROOT/'bootstrap/build-stable.arboricx','compiler')
+        bundle=root/'bindings.arboricx'
+        runner.run('compile',['compile','--file',path,'--toolchain',tool,'--tool-store',runner.store,
+                             '--store',runner.store,'--output',bundle,'--compile-timeout','240'],270)
+        pin=runner.imported(bundle,'bindings');report['bundle_sha256']=sha(bundle)
+        _,_,nodes,exports,_=read(bundle)
+        intern=Intern();ids=intern.graph(nodes)
+        globals={name:ids[i] for name,i in exports.items()}
+        for name,expr in exprs.items():
+            model=Model(intern,globals)
+            result=model.compile(expr)
+            if result!=globals[name]:raise AssertionError(('model tree differs',name))
+            seen,todo=set(),[result]
+            while todo:
+                i=todo.pop()
+                if i not in seen:seen.add(i);todo.extend(intern.nodes[i][1:])
+            report['model'].append(dict(name=name,exact_tree_match=True,reachable_dag_nodes=len(seen),
+                                       counters=dict(model.stats),binders=model.brackets))
+        def run(label,name,raw,wanted,measure=False):
+            arg=root/(label+'.input.tree');arg.write_bytes(raw)
+            actual=runner.invoke(label,pin,name,['--arg-tree-file',arg]+(['--profile-full-result'] if measure else []))
+            expect(actual,wanted,label)
+            if not measure:return
+            points={v['profile']:v for line in (root/(label+'.log')).read_text().splitlines()
+                    if line.startswith('{') for v in [json.loads(line)]}
+            before,after=points['invoke-begin-1'],points['force-end-1']
+            return dict(wall_ns=after['wall_ns']-before['wall_ns'],allocated_bytes=after['allocated_bytes']-before['allocated_bytes'])
+        for role in ['Bound','Inline']:
+            for name,wanted in [('unusedDemand',TRUE),('unselectedDemand',LEAF),('branchDemand',TRUE)]:
+                run('demand-'+name+role,name+role,LEAF,wanted)
+                report['demand'].append(dict(name=name+role,outcome='expected-result'))
+            name='selectedDemand'+role
+            try:
+                run('demand-'+name,name,LEAF,LEAF)
+                raise AssertionError('selected divergent branch returned')
+            except RuntimeError as error:
+                if str(error)!='wall-time guard exceeded':raise
+                report['demand'].append(dict(name=name,outcome='timeout',seconds=3))
+        # Eta-equivalent applications need not have the same inspectable tree.
+        eta_results={}
+        for name in ['etaExpanded','etaContracted']:
+            model=Model(intern,globals)
+            value=model.tree_apply(globals[name],model.leaf)
+            output=bytearray();todo=[value]
+            while todo:
+                node=intern.nodes[todo.pop()];output.append(node[0]);todo.extend(reversed(node[1:]))
+            run('eta-tree-'+name,name,LEAF,bytes(output))
+            run('eta-apply-'+name,name+'Applied',TRUE,b'\1'+TRUE)
+            eta_results[name]=dict(root_tag=output[0],tree_sha256=hashlib.sha256(output).hexdigest())
+        assert eta_results['etaExpanded']['root_tag']!=eta_results['etaContracted']['root_tag']
+        report['eta_control']=eta_results
+        # Do not assume beta substitution preserves returned-function observations.
+        # Inline closure construction has a finite exact-tree oracle. The bound
+        # closure contains a shared computation; rendering forces it.
+        model=Model(intern,globals)
+        finite=model.tree_apply(globals['closureInline'],model.leaf)
+        output=bytearray();todo=[finite]
+        while todo:
+            node=intern.nodes[todo.pop()];output.append(node[0]);todo.extend(reversed(node[1:]))
+        run('demand-closureInline','closureInline',LEAF,bytes(output))
+        report['demand'].append(dict(name='closureInline',outcome='expected-finite-function-tree',
+                                    tree_sha256=hashlib.sha256(output).hexdigest(),tree_bytes=len(output)))
+        for name in ['closureBound','invokeClosureBound','invokeClosureInline']:
+            try:
+                run('demand-'+name,name,LEAF,LEAF)
+                raise AssertionError('expected closed-computation demand did not occur')
+            except RuntimeError as error:
+                if str(error)!='wall-time guard exceeded':raise
+                report['demand'].append(dict(name=name,outcome='timeout',seconds=3))
+        for role in ['Bound','Inline']:
+            for a in range(2):
+                for b in range(2):
+                    for c in range(2):
+                        argv=[]
+                        for i,n in enumerate([a,b,c]):
+                            arg=root/f'adder-{i}.tree';arg.write_bytes(TRUE if n else LEAF)
+                            argv += ['--arg-tree-file',arg]
+                        total=a+b+c
+                        expect(runner.invoke(f'adder-{role}-{a}{b}{c}',pin,'adder'+role,argv),
+                               pair(TRUE if total%2 else LEAF,TRUE if total>=2 else LEAF),'adder')
+        report['adder_truth_table_cases']=16
+        schedule=[]
+        # All four Boolean combinations, repeated at two batch sizes.
+        for size in [128,1024]:
+            values=[(bool(i%2),bool((i//2)%2)) for i in range(size)]
+            raw=tree_list([pair(TRUE if f else LEAF,TRUE if x else LEAF) for f,x in values])
+            for group in ['single','branch','constructor']:
+                out=[]
+                for f,x in values:
+                    v=TRUE if x else LEAF
+                    z=(b'\1'+v) if group=='constructor' else (LEAF if x else TRUE)
+                    out.append(pair(z,v) if group=='single' or f else pair(v,z))
+                for role in ['Bound','Inline']:
+                    schedule.append((group,size,'run'+group+role,raw,tree_list(out)))
+        for size in [16,128,512]:
+            # Full duplicated output, so both copies are genuinely demanded.
+            xs=nat(list(range(size)))
+            copied=tree_list([b'\1'+nat(n) for n in range(size)])
+            for role in ['Bound','Inline']:
+                schedule.append(('shared',size,'shared'+role,xs,pair(copied,copied)))
+        rng=random.Random(4096)
+        for repeat in range(args.repeats):
+            rng.shuffle(schedule)
+            for group,size,name,raw,wanted in schedule:
+                sample=run(f'{group}-{size}-{name}-{repeat}',name,raw,wanted,True)
+                report['samples'].append(dict(group=group,size=size,name=name,repeat=repeat,warmup=repeat==0,**sample))
+        for group,size,name,_,_ in sorted(schedule):
+            rows=[s for s in report['samples'] if s['group']==group and s['size']==size and s['name']==name and not s['warmup']]
+            row=dict(group=group,size=size,name=name)
+            for key in ['wall_ns','allocated_bytes']:
+                row[key]=statistics.median(s[key] for s in rows)
+                row[key+'_min']=min(s[key] for s in rows);row[key+'_max']=max(s[key] for s in rows)
+            report['summaries'].append(row);print(json.dumps(row),flush=True)
+        report['complete']=True
+    finally:(root/'report.json').write_text(json.dumps(report,indent=2)+'\n')
+
+
+if __name__=='__main__':main()
diff --git a/test/binding_analysis.py b/test/binding_analysis.py
@@ -0,0 +1,196 @@
+#!/usr/bin/env python3
+"""Analysis-only resolved-core binding certificate prototype; no compiler rewrite."""
+import argparse
+import hashlib
+import itertools
+import json
+import random
+from pathlib import Path
+
+from collections_batch import ProbeRunner
+from base_workloads import encode as nat
+from http_headers import LEAF,TRUE,pair,tree_list,expect
+from bundle_dag import read
+from abstraction_binding_model import programs
+
+ROOT=Path(__file__).resolve().parent.parent
+# Core node as (kind,payload); spans are irrelevant to analysis but are preserved
+# in the encoded input schema. Literal tree payloads use preorder constructor bytes.
+def core(kind,payload=None):return (kind,payload)
+def app(f,x):return core(3,(f,x))
+def call(f,*args):
+    for a in args:f=app(f,a)
+    return f
+
+def encode(node):
+    k,p=node
+    if k==3:p=pair(encode(p[0]),encode(p[1]))
+    elif k==4:p=encode(p)
+    elif k==8:p=tree_list([encode(x) for x in p])
+    elif k==2:p=nat(p)
+    elif p is None:p=LEAF
+    return pair(nat(k),pair(p,pair(nat(0),nat(0))))
+
+
+def analyze(node,selector,depth=0):
+    # Independent oracle enumerates possible use-count paths, rather than just
+    # propagating maxima. Flags: escape, unknown, partial, malformed.
+    def merge(a,b):
+        return a[0]+b[0],{x+y for x in a[1] for y in b[1]},tuple(x or y for x,y in zip(a[2],b[2]))
+    def mark(a,index,condition=True):
+        flags=list(a[2]);flags[index] |= condition;return a[0],a[1],tuple(flags)
+    empty=(0,{0},(False,)*4)
+    k,p=node
+    if k in [1,5,6,7]:return empty
+    if k==2:return (1,{1},(False,)*4) if p==depth else empty
+    if k==4:
+        a=analyze(p,selector,depth+1);return mark(a,0,bool(a[0]))
+    if k==8:
+        out=empty
+        for child in p:out=merge(out,analyze(child,selector,depth))
+        return out
+    if k!=3:return mark(empty,3)
+    args=[];fun=node
+    while fun[0]==3:args.insert(0,fun[1][1]);fun=fun[1][0]
+    results=[analyze(x,selector,depth) for x in args]
+    out=analyze(fun,selector,depth)
+    for result in results:out=merge(out,result)
+    if fun==(5,selector):
+        if len(args)==3:
+            a,b,c=results
+            return out[0],{branch+condition for branch in a[1]|b[1] for condition in c[1]},out[2]
+        return mark(mark(out,1,bool(out[0])),2,len(args)<3 and bool(out[0]))
+    slots=2 if fun[0]==1 else (2 if fun[0]==5 and fun[1]==LEAF else
+                              1 if fun[0]==5 and fun[1][0]==1 else 0)
+    if slots and len(args)<=slots:return out
+    return mark(out,1,bool(out[0]))
+
+
+def decision(result):
+    uses,paths,(escape,unknown,partial,bad)=result
+    return 6 if bad else 3 if escape else 5 if partial else 4 if unknown else 0 if not uses else 2 if max(paths)>1 else 1
+
+
+def expected(result):
+    uses,paths,flags=result
+    tail=TRUE if flags[-1] else LEAF
+    for flag in reversed(flags[:-1]):tail=pair(TRUE if flag else LEAF,tail)
+    summary=pair(nat(uses),pair(nat(max(paths)),tail))
+    return pair(nat(decision(result)),summary)
+
+
+def resolve(expr,selector,stack=()):
+    k=expr[0]
+    if k=='var':
+        name=expr[1]
+        if name in stack:return core(2,stack.index(name))
+        if name=='t':return core(1)
+        # Only the explicitly resolved choose literal receives the certificate.
+        return core(5,selector if name=='choose' else nat(17))
+    if k=='lam':return core(4,resolve(expr[2],selector,(expr[1],)+stack))
+    return app(resolve(expr[1],selector,stack),resolve(expr[2],selector,stack))
+
+
+def cases(selector):
+    rows=[]
+    def collect(name,expr,stack=()):
+        if expr[0]=='lam':collect(name,expr[2],(expr[1],)+stack)
+        elif expr[0]=='app':
+            if expr[1][0]=='lam':
+                _,binding,body=expr[1]
+                rows.append((name,resolve(body,selector,(binding,)+stack)))
+            collect(name,expr[1],stack);collect(name,expr[2],stack)
+    for name,expr in programs().items():collect(name,expr)
+    z,x,t=core(2,0),core(2,1),core(1)
+    sel=core(5,selector)
+    examples={
+      'alias-same-literal':call(sel,z,t,x),
+      'name-with-wrong-literal':call(core(5,nat(17)),z,t,x),
+      'shadowed-selector':call(core(2,1),z,t,x),
+      'selector-and-branch-use':call(sel,z,t,z),
+      'partial-selector':call(sel,z,t),
+      'oversaturated-selector':call(sel,z,t,x,t),
+      'lambda-shadow-unused':core(4,core(2,0)),
+      'lambda-capture':core(4,core(2,1)),
+      'literal-stem-construction':call(core(5,TRUE),z),
+      'literal-fork-call':call(core(5,pair(LEAF,LEAF)),z),
+      'list-duplicate':core(8,[z,z]),
+      'opaque-consumer':call(core(2,1),z),
+      'malformed-kind':core(99),
+    }
+    rows += list(examples.items())
+    rng=random.Random(718)
+    def gen(depth):
+        atoms=[t,z,x,core(2,2),core(5,nat(17)),core(5,selector)]
+        if depth==0:return rng.choice(atoms)
+        branch=rng.randrange(6)
+        if branch==0:return rng.choice(atoms)
+        if branch==1:return core(4,gen(depth-1))
+        if branch==2:return call(t,gen(depth-1),gen(depth-1))
+        if branch==3:return call(sel,gen(depth-1),gen(depth-1),gen(depth-1))
+        if branch==4:return core(8,[gen(depth-1),gen(depth-1)])
+        return app(gen(depth-1),gen(depth-1))
+    rows += [(f'generated-{i}',gen(4)) for i in range(256)]
+    return rows
+
+
+SELECTOR='''!export choose
+triage leaf stem fork = t (t leaf stem) fork
+choose yes no value = triage no (_ : yes) (_ _ : yes) value
+'''
+
+
+def main():
+    p=argparse.ArgumentParser(description=__doc__)
+    p.add_argument('tricu',type=Path)
+    p.add_argument('--directory',type=Path,required=True)
+    args=p.parse_args()
+    root=args.directory.resolve();root.mkdir(parents=True,exist_ok=False)
+    workspace=root/'workspace';workspace.mkdir()
+    files={'analysis.tri':'bench/binding-analysis.tri','kernels.tri':'bench/float-significands.tri',
+           'native_math.tri':'lib/math/native.tri'}
+    for name,path in files.items():(workspace/name).write_bytes((ROOT/path).read_bytes())
+    (workspace/'selector.tri').write_text(SELECTOR)
+    sha=lambda p:hashlib.sha256(p.read_bytes()).hexdigest()
+    report=dict(complete=False,mode='analysis-only-no-rewrites',runtime_sha256=sha(args.tricu),
+                compiler_sha256=sha(ROOT/'bootstrap/build-stable.arboricx'),harness_sha256=sha(Path(__file__)),
+                fixture_ast_dependency_sha256=sha(ROOT/'test/abstraction_binding_model.py'),
+                sources={name:sha(workspace/name) for name in [*files,'selector.tri']},cases=[])
+    runner=ProbeRunner(args.tricu,root,600,memory_mib=2048)
+    try:
+        tool=runner.imported(ROOT/'bootstrap/build-stable.arboricx','compiler')
+        for name in ['analysis','selector']:
+            runner.run('compile-'+name,['compile','--file',workspace/(name+'.tri'),'--toolchain',tool,
+                       '--tool-store',runner.store,'--store',runner.store,'--output',root/(name+'.arboricx'),
+                       '--compile-timeout','240'],270)
+        pin=runner.imported(root/'analysis.arboricx','analysis')
+        _,_,nodes,exports,_=read(root/'selector.arboricx')
+        out=bytearray();todo=[exports['choose']]
+        while todo:
+            node=nodes[todo.pop()];out.append(node[0]);todo.extend(reversed(node[1:]))
+        selector=bytes(out)
+        report['certificate']=dict(arity=3,exclusive_arguments=[0,1],condition_argument=2,
+                                  selector_tree_sha256=hashlib.sha256(selector).hexdigest(),
+                                  selector_bundle_sha256=sha(root/'selector.arboricx'),
+                                  selector_source_sha256=sha(workspace/'selector.tri'),
+                                  authority='explicit harness contract, not inferred from source names')
+        report['analysis_bundle_sha256']=sha(root/'analysis.arboricx')
+        rows=cases(selector)
+        selector_path=root/'selector.tree';selector_path.write_bytes(selector)
+        for offset in range(0,len(rows),32):
+            chunk=rows[offset:offset+32]
+            path=root/f'bodies-{offset}.tree';path.write_bytes(tree_list([encode(n) for _,n in chunk]))
+            want=tree_list([expected(analyze(n,selector)) for _,n in chunk])
+            got=runner.invoke(f'check-{offset}',pin,'batch',['--arg-tree-file',selector_path,'--arg-tree-file',path])
+            expect(got,want,str(offset))
+            for label,node in chunk:
+                uses,paths,flags=analyze(node,selector)
+                report['cases'].append(dict(name=label,classification=decision((uses,paths,flags)),
+                                           uses=uses,max_path_uses=max(paths),path_counts=sorted(paths),
+                                           escape=flags[0],unknown=flags[1],partial=flags[2],malformed=flags[3]))
+        report['complete']=True
+        print('PASS:',len(rows),'analysis decisions match independent path-enumeration oracle; no rewrites')
+    finally:(root/'report.json').write_text(json.dumps(report,indent=2)+'\n')
+
+
+if __name__=='__main__':main()
diff --git a/test/binding_analysis_test.py b/test/binding_analysis_test.py
@@ -0,0 +1,45 @@
+#!/usr/bin/env python3
+"""Semantic-intent controls for the independent binding-analysis oracle."""
+import unittest
+from binding_analysis import analyze,decision,core,call,cases
+from base_workloads import encode as nat
+
+
+class BindingAnalysisTests(unittest.TestCase):
+    # Identity token only: these tests do not assert this tree has selector
+    # semantics. The integration harness authenticates its actual selector.
+    selector=nat(1234567)
+
+    def test_named_controls(self):
+        expected={'singleBound':1,'branchBound':1,'constructorBound':1,'adderBound':1,
+                  'sharedBound':2,'closureBound':3,'unusedBound':0,'closedBranchBound':1,
+                  'alias-same-literal':1,'name-with-wrong-literal':4,'shadowed-selector':4,
+                  'selector-and-branch-use':2,'partial-selector':5,'oversaturated-selector':4,
+                  'lambda-shadow-unused':0,'lambda-capture':3,'literal-stem-construction':1,
+                  'literal-fork-call':4,'list-duplicate':2,'opaque-consumer':4,'malformed-kind':6}
+        actual={name:decision(analyze(node,self.selector)) for name,node in cases(self.selector)}
+        for name,value in expected.items():self.assertEqual(actual[name],value,name)
+
+    def test_conditional_paths_include_condition_work(self):
+        z=core(2,0)
+        result=analyze(call(core(5,self.selector),z,core(1),z),self.selector)
+        self.assertEqual(result[0],2)
+        self.assertEqual(result[1],{1,2})
+        self.assertEqual(decision(result),2)
+
+    def test_nested_shadowing_and_capture(self):
+        for index in [0,1]:
+            self.assertEqual(decision(analyze(core(4,core(4,core(2,index))),self.selector)),0)
+        captured=analyze(core(4,core(4,core(2,2))),self.selector)
+        self.assertEqual(captured[0],1)
+        self.assertEqual(decision(captured),3)
+
+    def test_not_a_type_or_rhs_certificate(self):
+        # The analysis intentionally has no RHS parameter. Candidate != approved
+        # rewrite; e.g. different costs or function observations of RHSs are not
+        # established by passing this occurrence/path analysis.
+        direct=analyze(core(2,0),self.selector)
+        self.assertEqual(decision(direct),1)
+
+
+if __name__=='__main__':unittest.main()
diff --git a/test/binding_compiler_candidate.py b/test/binding_compiler_candidate.py
@@ -0,0 +1,66 @@
+#!/usr/bin/env python3
+"""Build an UNPUBLISHED source compiler with the screened binding pass.
+
+Copies authenticated shipped source snapshots into a private workspace. No
+accepted source, artifact, fixture or checkpoint is modified or promoted.
+"""
+import argparse,json,time
+from pathlib import Path
+from float_multiply import Runner,sha
+from bundle_dag import read,Intern
+from binding_substitution import ROOT
+
+
+def main():
+    p=argparse.ArgumentParser(description=__doc__)
+    p.add_argument('tricu',type=Path);p.add_argument('--previous',type=Path,required=True)
+    p.add_argument('--semantics',type=Path,required=True);p.add_argument('--directory',type=Path,required=True)
+    args=p.parse_args();root=args.directory.resolve();previous=args.previous.resolve()
+    evidence=json.loads((args.semantics/'report.json').read_text())
+    old=json.loads((previous/'report.json').read_text())
+    assert evidence['complete'] and not evidence['blocked']
+    assert sha(previous/'report.json')==evidence['prior_report_sha256']
+    assert sha(args.tricu)==old['runtime_sha256']
+    metadata=json.loads((ROOT/'bootstrap/stable-compiler.json').read_text())
+    assert sha(ROOT/metadata['bundle'])==metadata['sha256']==old['compiler_sha256']
+    root.mkdir(parents=True,exist_ok=False);workspace=root/'workspace';workspace.mkdir()
+    runner=Runner(args.tricu,root,1800,memory_mib=8192)
+    report=dict(complete=False,promoted=False,runtime_sha256=sha(args.tricu),
+                harness_sha256=sha(Path(__file__)),compiler_sha256=metadata['sha256'],
+                semantic_evidence_sha256=sha(args.semantics/'report.json'),sources={})
+    try:
+        tool=runner.imported(ROOT/metadata['bundle'],'accepted')
+        for row in metadata['sources']:
+            raw=(ROOT/row['snapshot']).read_bytes()
+            import hashlib
+            assert hashlib.sha256(raw).hexdigest()==row['sha256']
+            target=workspace/(row['alias']+'.tri');target.write_bytes(raw)
+            report['sources'][row['alias']]=sha(target)
+        for alias,path in [('substitution','bench/binding-substitution.tri'),('analysis','bench/binding-analysis.tri'),
+                           ('kernels','bench/float-significands.tri')]:
+            assert sha(ROOT/path)==old['sources'][alias+'.tri']
+            (workspace/(alias+'.tri')).write_bytes((ROOT/path).read_bytes())
+            report['sources'][alias]=sha(workspace/(alias+'.tri'))
+        helper=runner.imported(previous/'helpers.arboricx','certificates')
+        (workspace/'certificates.tri').write_text('!export * from '+helper+'\n')
+        report['certificates_bundle_sha256']=sha(previous/'helpers.arboricx')
+        stable=workspace/'source_stable.tri';raw=stable.read_text()
+        oldline='stableCompileCore core        = sourceRunTerm (stableEliminate core)'
+        newline='stableCompileCore core        = sourceRunTerm (stableEliminate (Binding.transform Certificates.choose Certificates.negate core))'
+        assert raw.count(oldline)==1
+        stable.write_text('!import substitution as Binding\n!import certificates as Certificates\n'+raw.replace(oldline,newline))
+        report['candidate_stable_sha256']=sha(stable)
+        (workspace/'driver.tri').write_text('!import source_build as B\n!export sourceBuildGraph\nsourceBuildGraph = B.sourceBuildGraphStable\n')
+        began=time.monotonic()
+        runner.run('build-candidate',['compile','--file',workspace/'driver.tri','--toolchain',tool,
+                   '--tool-store',runner.store,'--store',runner.store,'--output',root/'candidate.arboricx',
+                   '--compile-timeout','1500'],1560)
+        report['build_wall_seconds']=time.monotonic()-began
+        report['candidate_sha256']=sha(root/'candidate.arboricx')
+        # The current gate is not claimed to be a full compiler acceptance gate.
+        report['complete']=True
+        print('BUILT unpublished candidate:',root/'candidate.arboricx')
+    finally:(root/'report.json').write_text(json.dumps(report,indent=2)+'\n')
+
+
+if __name__=='__main__':main()
diff --git a/test/binding_compiler_measure.py b/test/binding_compiler_measure.py
@@ -0,0 +1,128 @@
+#!/usr/bin/env python3
+"""Unpublished compiler differential checks and cold-compile/runtime measurements."""
+import argparse,json,random,statistics,time
+from pathlib import Path
+from binding_substitution import ROOT
+from abstraction_binding_model import programs,source
+from float_multiply import Runner,sha
+from float_adders import wrappers
+from base_workloads import encode as nat
+from http_headers import LEAF,TRUE,pair,tree_list,expect
+from bundle_dag import read,Intern
+
+
+def main():
+    p=argparse.ArgumentParser(description=__doc__)
+    p.add_argument('tricu',type=Path);p.add_argument('--candidate',type=Path,required=True)
+    p.add_argument('--directory',type=Path,required=True);args=p.parse_args()
+    prior=json.loads((args.candidate/'report.json').read_text());assert prior['complete']
+    assert sha(args.candidate/'candidate.arboricx')==prior['candidate_sha256']
+    root=args.directory.resolve();root.mkdir(parents=True,exist_ok=False)
+    workspace=root/'workspace';workspace.mkdir()
+    files={'driver.tri':'bench/float-adders.tri','multiply.tri':'bench/float-multiply.tri',
+           'pipelines.tri':'bench/float-pipelines.tri','kernels.tri':'bench/float-significands.tri',
+           'layouts.tri':'bench/float-layouts.tri','native_math.tri':'lib/math/native.tri'}
+    for name,path in files.items():(workspace/name).write_bytes((ROOT/path).read_bytes())
+    extra='''
+negate = K.not
+both = K.both
+either = K.either
+loop x = loop x
+copy xs = triage t (_ : t) (a b : t (t a) (copy b)) xs
+'''
+    extra+='\n'.join(name+' = '+source(expr) for name,expr in programs().items())+'\n'
+    extra+='bindingBranches xs = map (row : branchBound (head row) (tail row)) xs\n'
+    extra+='bindingCopies xs = map sharedBound xs\n'
+    with (workspace/'driver.tri').open('a') as f:f.write(wrappers()+extra)
+    runner=Runner(args.tricu,root,1800,memory_mib=2048)
+    report=dict(complete=False,promoted=False,harness_sha256=sha(Path(__file__)),
+                candidate_report_sha256=sha(args.candidate/'report.json'),runtime_sha256=sha(args.tricu),
+                sources={name:sha(workspace/name) for name in files},compile_samples=[],samples=[],checks=[],shapes=[])
+    try:
+        tools={role:runner.imported(path,role) for role,path in
+               [('accepted',ROOT/'bootstrap/build-stable.arboricx'),('candidate',args.candidate/'candidate.arboricx')]}
+        # Every compilation uses a fresh output store; no warm receipt reuse.
+        rng=random.Random(8245);bundles={}
+        for repeat in range(5):
+            order=list(tools);rng.shuffle(order)
+            for role in order:
+                label=f'compile-{repeat}-{role}';bundle=root/(label+'.arboricx')
+                start=time.monotonic()
+                runner.run(label,['compile','--file',workspace/'driver.tri','--toolchain',tools[role],
+                    '--tool-store',runner.store,'--store',root/(label+'-store'),'--output',bundle,
+                    '--compile-timeout','240'],270)
+                row=runner.records[-1]
+                report['compile_samples'].append(dict(role=role,repeat=repeat,wall_seconds=time.monotonic()-start,
+                                                       rts=row['rts_process'],bundle_sha256=sha(bundle)))
+                if role in bundles:
+                    # Workspace and tool identities are unchanged; deterministic bundle output.
+                    assert bundle.read_bytes()==bundles[role].read_bytes()
+                bundles[role]=bundle
+        intern=Intern();graphs={};pins={}
+        for role,bundle in bundles.items():
+            _,_,nodes,exports,_=read(bundle);ids=intern.graph(nodes)
+            graphs[role]={name:ids[index] for name,index in exports.items()}
+            pins[role]=runner.imported(bundle,'import-'+role)
+        old,new=graphs['accepted'],graphs['candidate']
+        for name in programs():
+            changed=old[name]!=new[name];report['shapes'].append(dict(name=name,changed=changed))
+            if name in ['singleBound','branchBound','adderBound']:
+                assert new[name]==old[name.replace('Bound','Inline')],('not expected inline',name)
+            else:assert not changed,('unexpected control change',name)
+        for bound,inline in [('ordered','inline'),('orderedMultiply','inlineMultiply')]:
+            report['shapes'].append(dict(name=bound,changed=new[bound]!=old[bound],
+                                        equals_accepted_inline=new[bound]==old[inline]))
+        def invoke(label,role,name,raw,wanted,measure=False):
+            path=root/(label+'.input.tree');path.write_bytes(raw)
+            actual=runner.invoke(label,pins[role],name,['--arg-tree-file',path]+(['--profile-full-result'] if measure else []))
+            expect(actual,wanted,label)
+            if not measure:report['checks'].append(dict(label=label,role=role));return
+            points={r['profile']:r for line in (root/(label+'.log')).read_text().splitlines()
+                    if line.startswith('{') for r in [json.loads(line)]}
+            a,b=points['invoke-begin-1'],points['force-end-1']
+            return dict(wall_ns=b['wall_ns']-a['wall_ns'],allocated_bytes=b['allocated_bytes']-a['allocated_bytes'],
+                        gc_ns=b['gc_elapsed_ns']-a['gc_elapsed_ns'])
+        for role in tools:
+            rows=[(a,b) for a in range(16) for b in range(16)]
+            for offset in range(0,len(rows),64):
+                chunk=rows[offset:offset+64];raw=tree_list([pair(nat(a),nat(b)) for a,b in chunk])
+                for name,op in [('orderedFull',lambda a,b:a+b),('orderedProduct',lambda a,b:a*b)]:
+                    invoke(f'oracle-{role}-{name}-{offset}',role,name,raw,tree_list([nat(op(a,b)) for a,b in chunk]))
+            for probe,wanted in [('UnknownLow',LEAF),('UnknownLowHigh',TRUE),('LowWithoutTails',TRUE),
+                                 ('RightZero',TRUE),('LeftZero',TRUE)]:
+                invoke(f'demand-{role}-{probe}',role,'ordered'+probe,LEAF,wanted)
+            for name,arg in [('closureBound',LEAF),('closedBranchBound',TRUE)]:
+                try:invoke(f'demand-{role}-{name}',role,name,arg,LEAF);raise AssertionError('expected timeout')
+                except RuntimeError as error:
+                    if str(error)!='wall-time guard exceeded':raise
+                    report['checks'].append(dict(label=name,role=role,outcome='expected-timeout'))
+        workloads={}
+        nums=[(rng.getrandbits(53),rng.getrandbits(53)) for _ in range(16)]
+        raw=tree_list([pair(nat(a),nat(b)) for a,b in nums])
+        workloads['orderedProduct']=(raw,tree_list([nat(a*b) for a,b in nums]))
+        workloads['orderedFull']=(raw,tree_list([nat(a+b) for a,b in nums]))
+        flags=[(bool(i&1),bool(i&2)) for i in range(1024)]
+        workloads['bindingBranches']=(tree_list([pair(TRUE if a else LEAF,TRUE if b else LEAF) for a,b in flags]),
+            tree_list([pair(LEAF if b else TRUE,TRUE if b else LEAF) if a else pair(TRUE if b else LEAF,LEAF if b else TRUE) for a,b in flags]))
+        xs=list(range(128));copied=tree_list([b'\1'+nat(x) for x in xs])
+        workloads['bindingCopies']=(nat([xs]*4),tree_list([pair(copied,copied)]*4))
+        for repeat in range(5):
+            jobs=[(role,name) for role in tools for name in workloads];rng.shuffle(jobs)
+            for role,name in jobs:
+                raw,wanted=workloads[name]
+                measured=invoke(f'time-{repeat}-{role}-{name}',role,name,raw,wanted,True)
+                report['samples'].append(dict(role=role,name=name,repeat=repeat,**measured))
+        report['runtime_summaries']=[]
+        for name in workloads:
+            values={role:{key:statistics.median(r[key] for r in report['samples'] if r['role']==role and r['name']==name and r['repeat']>0)
+                          for key in ['wall_ns','allocated_bytes']} for role in tools}
+            report['runtime_summaries'].append(dict(name=name,medians=values,
+                candidate_over_accepted={key:values['candidate'][key]/values['accepted'][key] for key in values['accepted']}))
+        values={role:dict(wall_seconds=statistics.median(r['wall_seconds'] for r in report['compile_samples'] if r['role']==role and r['repeat']>0),
+                         allocated_bytes=statistics.median(r['rts']['allocated_bytes'] for r in report['compile_samples'] if r['role']==role and r['repeat']>0)) for role in tools}
+        report['compile_summary']=dict(medians=values,candidate_over_accepted={k:values['candidate'][k]/values['accepted'][k] for k in values['accepted']})
+        report['complete']=True;print(json.dumps(dict(compile=report['compile_summary'],runtime=report['runtime_summaries']),indent=2))
+    finally:(root/'report.json').write_text(json.dumps(report,indent=2)+'\n')
+
+
+if __name__=='__main__':main()
diff --git a/test/binding_compiler_small.py b/test/binding_compiler_small.py
@@ -0,0 +1,106 @@
+#!/usr/bin/env python3
+"""Bounded standalone integration/measurement after the cold-workspace timeout."""
+import argparse,json,random,statistics,time
+from pathlib import Path
+from binding_substitution import ROOT,HELPERS
+from abstraction_binding_model import programs,source
+from float_multiply import Runner,sha
+from bundle_dag import Intern,read
+from base_workloads import encode as nat
+from http_headers import LEAF,TRUE,pair,tree_list,expect
+
+
+def main():
+    p=argparse.ArgumentParser(description=__doc__)
+    p.add_argument('tricu',type=Path);p.add_argument('--candidate',type=Path,required=True)
+    p.add_argument('--directory',type=Path,required=True);args=p.parse_args()
+    candidate=args.candidate.resolve();prior=json.loads((candidate/'report.json').read_text())
+    assert prior['complete'] and sha(candidate/'candidate.arboricx')==prior['candidate_sha256']
+    root=args.directory.resolve();root.mkdir(parents=True,exist_ok=False)
+    driver=root/'driver.tri'
+    driver.write_text(HELPERS+'\n'+'\n'.join(name+' = '+source(expr) for name,expr in programs().items())+'''
+map f xs = triage t (_ : t) (a b : t (f a) (map f b)) xs
+branches xs = map (row : branchBound (head row) (tail row)) xs
+adders xs = map (row : adderBound (head row) (head (tail row)) (tail (tail row))) xs
+copies xs = map sharedBound xs
+partialBranch _ = branchNegatedHead branchBound
+partialCarryZero _ = adderKnownCarryZero adderBound
+partialCarryOne _ = adderKnownCarryOne adderBound
+''')
+    runner=Runner(args.tricu,root,480,memory_mib=2048)
+    report=dict(complete=False,scope='standalone-module-not-cold-arithmetic-workspace',
+                runtime_sha256=sha(args.tricu),candidate_report_sha256=sha(candidate/'report.json'),
+                harness_sha256=sha(Path(__file__)),source_sha256=sha(driver),compilation=[],samples=[],checks=[])
+    try:
+        tools={role:runner.imported(path,role) for role,path in [('accepted',ROOT/'bootstrap/build-stable.arboricx'),('candidate',candidate/'candidate.arboricx')]}
+        bundles={};rng=random.Random(5150)
+        for repeat in range(5):
+            order=list(tools);rng.shuffle(order)
+            for role in order:
+                label=f'compile-{repeat}-{role}';out=root/(label+'.arboricx')
+                start=time.monotonic()
+                runner.run(label,['compile','--file',driver,'--toolchain',tools[role],'--tool-store',runner.store,
+                           '--store',root/(label+'-store'),'--output',out,'--compile-timeout','45'],60)
+                report['compilation'].append(dict(role=role,repeat=repeat,wall_seconds=time.monotonic()-start,
+                                                  rts=runner.records[-1]['rts_process']))
+                if role in bundles:assert bundles[role].read_bytes()==out.read_bytes()
+                bundles[role]=out
+        intern=Intern();graphs={};pins={}
+        for role,bundle in bundles.items():
+            _,_,nodes,exports,_=read(bundle);ids=intern.graph(nodes)
+            graphs[role]={name:ids[index] for name,index in exports.items()}
+            pins[role]=runner.imported(bundle,'import-'+role)
+        old,new=graphs['accepted'],graphs['candidate']
+        report['changed_controls']=[]
+        for name in programs():
+            if name in ['singleBound','branchBound','adderBound']:
+                assert new[name]==old[name.replace('Bound','Inline')]
+                report['changed_controls'].append(name)
+            else:assert new[name]==old[name],name
+        report['unchanged_controls']=15
+        def invoke(role,name,raw,wanted,label,measure=False):
+            path=root/(label+'.input.tree');path.write_bytes(raw)
+            actual=runner.invoke(label,pins[role],name,['--arg-tree-file',path]+(['--profile-full-result'] if measure else []))
+            expect(actual,wanted,label)
+            if not measure:report['checks'].append(dict(role=role,name=name));return
+            points={r['profile']:r for line in (root/(label+'.log')).read_text().splitlines()
+                    if line.startswith('{') for r in [json.loads(line)]}
+            a,b=points['invoke-begin-1'],points['force-end-1']
+            return dict(wall_ns=b['wall_ns']-a['wall_ns'],allocated_bytes=b['allocated_bytes']-a['allocated_bytes'])
+        for role in tools:
+            for name,wanted in [('partialBranch',LEAF),('partialCarryZero',LEAF),('partialCarryOne',TRUE),('unusedBound',LEAF)]:
+                invoke(role,name,LEAF,wanted,'partial-'+role+name)
+            for name,arg in [('closureBound',LEAF),('closedBranchBound',TRUE)]:
+                try:invoke(role,name,arg,LEAF,'demand-'+role+name);raise AssertionError('expected timeout')
+                except RuntimeError as error:
+                    if str(error)!='wall-time guard exceeded':raise
+                    report['checks'].append(dict(role=role,name=name,outcome='expected-timeout'))
+        flags=[(bool(i&1),bool(i&2)) for i in range(1024)]
+        boolean=lambda b:TRUE if b else LEAF
+        rows=[(bool(i&1),bool(i&2),bool(i&4)) for i in range(1024)]
+        xs=list(range(128));copied=tree_list([b'\1'+nat(x) for x in xs])
+        workloads={
+            'branches':(tree_list([pair(boolean(a),boolean(b)) for a,b in flags]),
+                        tree_list([pair(boolean(not b),boolean(b)) if a else pair(boolean(b),boolean(not b)) for a,b in flags])),
+            'adders':(tree_list([pair(boolean(a),pair(boolean(b),boolean(c))) for a,b,c in rows]),
+                      tree_list([pair(boolean((a+b+c)%2),boolean(a+b+c>=2)) for a,b,c in rows])),
+            'copies':(nat([xs]*4),tree_list([pair(copied,copied)]*4))}
+        for repeat in range(5):
+            jobs=[(role,name) for role in tools for name in workloads];rng.shuffle(jobs)
+            for role,name in jobs:
+                raw,wanted=workloads[name]
+                values=invoke(role,name,raw,wanted,f'time-{repeat}-{role}-{name}',True)
+                report['samples'].append(dict(role=role,name=name,repeat=repeat,**values))
+        report['runtime']=[]
+        for name in workloads:
+            values={role:{key:statistics.median(r[key] for r in report['samples'] if r['role']==role and r['name']==name and r['repeat']>0)
+                          for key in ['wall_ns','allocated_bytes']} for role in tools}
+            report['runtime'].append(dict(name=name,medians=values,ratios={k:values['candidate'][k]/values['accepted'][k] for k in values['accepted']}))
+        values={role:dict(wall_seconds=statistics.median(r['wall_seconds'] for r in report['compilation'] if r['role']==role and r['repeat']>0),
+                         allocated_bytes=statistics.median(r['rts']['allocated_bytes'] for r in report['compilation'] if r['role']==role and r['repeat']>0)) for role in tools}
+        report['compile_summary']=dict(medians=values,ratios={k:values['candidate'][k]/values['accepted'][k] for k in values['accepted']})
+        report['complete']=True;print(json.dumps(dict(compile=report['compile_summary'],runtime=report['runtime']),indent=2))
+    finally:(root/'report.json').write_text(json.dumps(report,indent=2)+'\n')
+
+
+if __name__=='__main__':main()
diff --git a/test/binding_failure_cold.py b/test/binding_failure_cold.py
@@ -0,0 +1,70 @@
+#!/usr/bin/env python3
+"""One bounded cold pair with retained timeout logs, CPU and receipt progress."""
+import argparse,json,os,signal,subprocess,time
+from pathlib import Path
+from process_rss import ChildRSS
+from float_multiply import Runner,sha
+from binding_substitution import ROOT
+from rts_metrics import parse_rts_stats
+
+
+def main():
+    p=argparse.ArgumentParser(description=__doc__)
+    p.add_argument('tricu',type=Path);p.add_argument('--directory',required=True,type=Path)
+    p.add_argument('--candidate',type=Path,default=Path('/tmp/tricu-binding-compiler-first'))
+    p.add_argument('--failed',type=Path,default=Path('/tmp/tricu-binding-compiler-measure'))
+    args=p.parse_args();root=args.directory.resolve();root.mkdir(parents=True,exist_ok=False)
+    workspace=root/'workspace';workspace.mkdir()
+    previous=json.loads((args.failed/'report.json').read_text())
+    for name,digest in previous['sources'].items():
+        origin=args.failed/'workspace'/name;assert sha(origin)==digest
+        (workspace/name).write_bytes(origin.read_bytes())
+    candidate=json.loads((args.candidate/'report.json').read_text())
+    assert sha(args.candidate/'candidate.arboricx')==candidate['candidate_sha256']
+    runner=Runner(args.tricu,root,650,memory_mib=2048)
+    report=dict(complete=False,harness_sha256=sha(Path(__file__)),prior_failure_report_sha256=sha(args.failed/'report.json'),
+                candidate_sha256=candidate['candidate_sha256'],runtime_sha256=sha(args.tricu),attempts=[])
+    try:
+        for role,bundle in [('candidate',args.candidate/'candidate.arboricx'),('accepted',ROOT/'bootstrap/build-stable.arboricx')]:
+            pin=runner.imported(bundle,'import-'+role)
+            store=root/(role+'-store');output=root/(role+'.arboricx')
+            command=[str(args.tricu),'arboricx','compile','--file',str(workspace/'driver.tri'),
+                     '--toolchain',pin,'--tool-store',str(runner.store),'--store',str(store),
+                     '--output',str(output),'--compile-timeout','240','+RTS','-N1','-M2048m','-T','-s','-RTS']
+            row=dict(role=role,command=command,samples=[]);report['attempts'].append(row)
+            with (root/(role+'.log')).open('w') as log:
+                process=subprocess.Popen(command,stdout=log,stderr=subprocess.STDOUT,start_new_session=True)
+                start=time.monotonic();monitor=ChildRSS(process);last=-1
+                try:
+                    while process.poll() is None:
+                        rss=monitor.sample();elapsed=time.monotonic()-start
+                        if rss is not None and rss>2048*1024:raise RuntimeError('RSS guard exceeded')
+                        if int(elapsed)>last:
+                            last=int(elapsed);cpu=None
+                            if monitor.pid:
+                                try:
+                                    fields=Path(f'/proc/{monitor.pid}/stat').read_text().rsplit(')',1)[1].split()
+                                    cpu=(int(fields[11])+int(fields[12]))/os.sysconf('SC_CLK_TCK')
+                                except FileNotFoundError:pass
+                            cache=store/'cache/source-build'
+                            row['samples'].append(dict(seconds=elapsed,cpu_seconds=cpu,rss_kib=rss,
+                                                       completed=sorted(x.name for x in cache.iterdir()) if cache.exists() else []))
+                            (root/'progress.json').write_text(json.dumps(report,indent=2)+'\n')
+                        if elapsed>270:raise RuntimeError('wall-time guard exceeded')
+                        time.sleep(.05)
+                    row['outcome']='complete' if process.returncode==0 else 'command-failed'
+                except RuntimeError as error:row['outcome']=str(error)
+                finally:
+                    if process.poll() is None:
+                        os.killpg(process.pid,signal.SIGTERM)
+                        try:process.wait(timeout=10)
+                        except subprocess.TimeoutExpired:os.killpg(process.pid,signal.SIGKILL);process.wait()
+                    row['seconds']=time.monotonic()-start;row['returncode']=process.returncode
+            row['rts']=parse_rts_stats((root/(role+'.log')).read_text())
+            if output.exists():row['bundle_sha256']=sha(output)
+            print(json.dumps({k:v for k,v in row.items() if k not in ['command','samples']}),flush=True)
+        report['complete']=True
+    finally:(root/'report.json').write_text(json.dumps(report,indent=2)+'\n')
+
+
+if __name__=='__main__':main()
diff --git a/test/binding_failure_isolate.py b/test/binding_failure_isolate.py
@@ -0,0 +1,70 @@
+#!/usr/bin/env python3
+"""Bounded prefix isolation of the unpublished compiler's pipelines stall."""
+import argparse,json,re,time
+from pathlib import Path
+from float_multiply import Runner,sha
+from binding_substitution import ROOT
+from bundle_dag import read,Intern
+
+
+def main():
+    p=argparse.ArgumentParser(description=__doc__)
+    p.add_argument('tricu',type=Path);p.add_argument('--directory',type=Path,required=True)
+    p.add_argument('--candidate',type=Path,default=Path('/tmp/tricu-binding-compiler-first'))
+    p.add_argument('--failed',type=Path,default=Path('/tmp/tricu-binding-compiler-measure'))
+    args=p.parse_args();root=args.directory.resolve();root.mkdir(parents=True,exist_ok=False)
+    workspace=root/'workspace';workspace.mkdir();runner=Runner(args.tricu,root,600,memory_mib=2048)
+    prior=json.loads((args.candidate/'report.json').read_text());assert prior['complete']
+    assert sha(args.candidate/'candidate.arboricx')==prior['candidate_sha256']
+    report=dict(complete=False,harness_sha256=sha(Path(__file__)),candidate_sha256=prior['candidate_sha256'],
+                runtime_sha256=sha(args.tricu),dependencies=[],attempts=[])
+    try:
+        tools={role:runner.imported(path,role) for role,path in [('accepted',ROOT/'bootstrap/build-stable.arboricx'),('candidate',args.candidate/'candidate.arboricx')]}
+        for alias in ['native_math','kernels','layouts']:
+            graphs={};intern=Intern()
+            for role in tools:
+                store=args.failed/f'compile-0-{role}-store'
+                manifest=(store/'cache/source-build'/alias).read_text().split('\t')[2]
+                bundle=root/(role+'-'+alias+'.arboricx')
+                runner.run('export-'+role+alias,['export','--store',store,'--module',manifest,'--output',bundle])
+                _,_,nodes,exports,_=read(bundle);ids=intern.graph(nodes)
+                graphs[role]={name:ids[i] for name,i in exports.items()}
+            different=[name for name in graphs['accepted'] if graphs['accepted'][name]!=graphs['candidate'][name]]
+            report['dependencies'].append(dict(alias=alias,changed_exports=different))
+            pin=runner.imported(root/('accepted-'+alias+'.arboricx'),'dep-'+alias)
+            (workspace/(alias+'.tri')).write_text('!export * from '+pin+'\n')
+        source=(args.failed/'workspace/pipelines.tri').read_text()
+        positions=[m.start() for m in re.finditer(r'^[A-Za-z][A-Za-z0-9_]*[^\n]*=',source,re.M)]
+        names=[re.match(r'[A-Za-z][A-Za-z0-9_]*',source[pos:])[0] for pos in positions]
+        report['definitions']=names
+        def attempt(count,role):
+            text=source[:positions[count]] if count<len(positions) else source
+            (workspace/'probe.tri').write_text(text)
+            label=f'{role}-{count}';start=time.monotonic()
+            try:
+                runner.run(label,['compile','--file',workspace/'probe.tri','--toolchain',tools[role],
+                           '--tool-store',runner.store,'--store',runner.store,'--output',root/(label+'.arboricx'),
+                           '--compile-timeout','45'],55)
+                row=dict(role=role,count=count,last=names[count-1],outcome='complete',seconds=time.monotonic()-start,
+                         rts=runner.records[-1]['rts_process'])
+            except RuntimeError as error:
+                if str(error)!='wall-time guard exceeded':raise
+                row=dict(role=role,count=count,last=names[count-1],outcome='timeout',seconds=time.monotonic()-start)
+            report['attempts'].append(row);print(json.dumps(row),flush=True)
+            return row['outcome']=='complete'
+        assert attempt(len(names),'accepted')
+        if attempt(len(names),'candidate'):
+            report['complete']=True;report['reproduced']=False;return
+        lo,hi=0,len(names)
+        while hi-lo>1:
+            mid=(lo+hi)//2
+            if attempt(mid,'candidate'):lo=mid
+            else:hi=mid
+        report['boundary']=dict(completed_prefix=lo,first_timeout_prefix=hi,definition=names[hi-1])
+        # Verify this boundary against accepted lowering too.
+        assert attempt(hi,'accepted')
+        report['complete']=True;report['reproduced']=True
+    finally:(root/'report.json').write_text(json.dumps(report,indent=2)+'\n')
+
+
+if __name__=='__main__':main()
diff --git a/test/binding_semantics.py b/test/binding_semantics.py
@@ -0,0 +1,210 @@
+#!/usr/bin/env python3
+"""Broader semantic screen; stop at the first demand/value mismatch.
+
+Uses the authenticated previous isolated build, not an installed toolchain.
+Raw function-tree differences after partial application are recorded separately
+from changes to termination/full observation, which block further integration.
+"""
+import argparse,itertools,json,hashlib,random
+from pathlib import Path
+from binding_substitution import ROOT,C,encode,tree_bytes,transform
+from float_multiply import Runner,sha
+from base_workloads import encode as nat
+from http_headers import LEAF,TRUE,pair,tree_list,expect
+from source_order import end
+from bundle_dag import read
+
+DRIVER='''!import core as C
+!import substitution as S
+!import helpers as H
+!export *
+compileOriginal core = C.compile core
+compileCandidate core = C.compile (S.transform H.choose H.negate core)
+argument code = case code of
+  0 = t
+  1 = t t
+  2 = t t t
+  3 = t (H.loop t)
+  4 = H.loop t
+  5 = t (H.loop t) (H.loop t)
+  6 = t (t t)
+  _ = t
+applyArgs f args = H.triage f (_ : f)
+  (a rest : applyArgs (f (argument a)) rest) args
+observe f args mode = let value = applyArgs f args in case mode of
+  0 = value
+  1 = H.triage 0 (_ : 1) (_ _ : 2) value
+  2 = H.head value
+  3 = H.tail value
+  _ = value
+'''
+
+
+# Grammar is constructor/selector data, with no general beta evaluator in oracle.
+def syntax(expr,selector):
+    if expr=='z':return C(2,0)
+    if expr=='x':return C(2,2)
+    if expr=='flag':return C(2,1)
+    if expr=='leaf':return C(1)
+    if expr[0]=='pair':
+        a,b=(syntax(x,selector) for x in expr[1:])
+        return C(3,(C(3,(C(1),a)),b))
+    out=C(5,selector)
+    for child in expr[1:]:out=C(3,(out,syntax(child,selector)))
+    return out
+
+
+def program(body,selector,negation):
+    rhs=C(3,(C(5,negation),C(2,1)))
+    return C(4,C(4,C(3,(C(4,syntax(body,selector)),rhs))))
+
+
+class Bottom(Exception):pass
+
+def value(code):
+    return {0:(0,),1:(1,(0,)),2:(2,(0,),(0,)),3:(1,None),4:None,5:(2,None,None),6:(1,(1,(0,)))}[code]
+
+
+def force(v):
+    if v is None:raise Bottom
+    return v
+
+
+def evaluate(expr,x,flag):
+    if expr=='leaf':return (0,)
+    if expr=='x':return x
+    if expr=='flag':return flag
+    if expr=='z':return (1,(0,)) if force(x)[0]==0 else (0,)
+    if expr[0]=='pair':
+        # Lazy children are represented as callables so projecting a pair does
+        # not evaluate either expression and accidentally strengthen the oracle.
+        return (2,lambda:evaluate(expr[1],x,flag),lambda:evaluate(expr[2],x,flag))
+    condition=force(evaluate(expr[3],x,flag))
+    return evaluate(expr[1] if condition[0] else expr[2],x,flag)
+
+
+def demanded(v):return force(v() if callable(v) else v)
+
+def flatten(v):
+    v=demanded(v)
+    return bytes([v[0]])+b''.join(flatten(c) for c in v[1:])
+
+
+def expected(expr,codes,mode):
+    v=evaluate(expr,value(codes[0]),value(codes[1]))
+    if mode==1:return nat(demanded(v)[0])
+    if mode in [2,3]:
+        v=demanded(v);v=v[mode-1] if v[0]==2 else (0,)
+        # mode 2 selects child 1, mode 3 selects child 2.
+    return flatten(v)
+
+
+def main():
+    p=argparse.ArgumentParser(description=__doc__)
+    p.add_argument('tricu',type=Path);p.add_argument('--previous',type=Path,required=True)
+    p.add_argument('--directory',type=Path,required=True)
+    args=p.parse_args();previous=args.previous.resolve();root=args.directory.resolve()
+    old=json.loads((previous/'report.json').read_text())
+    assert old['complete'] and old['core_compiler_exact_tree_in_shipped_closure']
+    assert sha(args.tricu)==old['runtime_sha256']
+    assert sha(ROOT/'bootstrap/build-stable.arboricx')==old['compiler_sha256']
+    assert sha(previous/'substitution.arboricx')==old['substitution_bundle_sha256']
+    assert sha(previous/'core-compiler.arboricx')==old['core_compiler_bundle_sha256']
+    assert sha(ROOT/'bench/binding-substitution.tri')==old['sources']['substitution.tri']
+    root.mkdir(parents=True,exist_ok=False);workspace=root/'workspace';workspace.mkdir()
+    runner=Runner(args.tricu,root,1800,memory_mib=2048)
+    report=dict(complete=False,blocked=False,harness_sha256=sha(Path(__file__)),
+                prior_report_sha256=sha(previous/'report.json'),runtime_sha256=sha(args.tricu),
+                compiler_sha256=old['compiler_sha256'],checks=[],programs=[])
+    try:
+        tool=runner.imported(ROOT/'bootstrap/build-stable.arboricx','compiler')
+        for alias,bundle in [('core','core-compiler'),('substitution','substitution'),('helpers','helpers')]:
+            pin=runner.imported(previous/(bundle+'.arboricx'),alias)
+            (workspace/(alias+'.tri')).write_text('!export * from '+pin+'\n')
+        (workspace/'driver.tri').write_text(DRIVER)
+        report['driver_sha256']=sha(workspace/'driver.tri')
+        runner.run('compile-driver',['compile','--file',workspace/'driver.tri','--toolchain',tool,
+                   '--tool-store',runner.store,'--store',runner.store,'--output',root/'driver.arboricx',
+                   '--compile-timeout','240'],270)
+        pin=runner.imported(root/'driver.arboricx','driver')
+        _,_,nodes,exports,_=read(previous/'helpers.arboricx')
+        selector=tree_bytes(nodes,exports['choose']);negation=tree_bytes(nodes,exports['negate'])
+        assert hashlib.sha256(selector).hexdigest()==old['certificates']['choose']
+        assert hashlib.sha256(negation).hexdigest()==old['certificates']['negate']
+        serial=itertools.count()
+        def invoke(export,values,demand=False):
+            label=('demand-' if demand else '')+str(next(serial))+'-'+export
+            argv=[]
+            for i,raw in enumerate(values):
+                path=root/(label+f'-{i}.tree');path.write_bytes(raw);argv+=['--arg-tree-file',path]
+            try:return ('value',runner.invoke(label,pin,export,argv),label)
+            except RuntimeError as error:
+                if str(error)!='wall-time guard exceeded':raise
+                return ('timeout',None,label)
+        bodies=['z',('pair','z','leaf'),('choose','z','leaf','flag'),
+                ('choose','leaf','z','flag'),('choose',('pair','z','x'),('pair','x','z'),'flag'),
+                ('choose','x','flag','z')]
+        rng=random.Random(4409)
+        for _ in range(26):
+            expr=rng.choice(bodies[:6])
+            for _ in range(rng.randrange(1,4)):
+                expr=rng.choice([('pair',expr,'leaf'),('choose',expr,'x','flag'),
+                                 ('choose','leaf',expr,'flag'),('choose',expr,expr,'flag')])
+            bodies.append(expr)
+        compiled=[]
+        for index,body in enumerate(bodies):
+            core=program(body,selector,negation)
+            if encode(core)==encode(transform(core,selector,negation)):raise AssertionError('expected eligible core')
+            programs={}
+            for role,export in [('original','compileOriginal'),('candidate','compileCandidate')]:
+                status,raw,label=invoke(export,[encode(core)])
+                assert status=='value' and raw[:4]==b'\2\1\0\2'
+                tree=raw[4:4+end(raw[4:])];expect(raw,b'\2\1\0\2'+tree+LEAF,'compile envelope')
+                programs[role]=tree
+                (root/f'program-{index}-{role}.tree').write_bytes(tree)
+            compiled.append(programs)
+            report['programs'].append(dict(index=index,body=body,changed=programs['original']!=programs['candidate']))
+
+        def check(index,codes,mode,oracle=True):
+            results={}
+            for role,tree in compiled[index].items():
+                status,raw,label=invoke('observe',[tree,nat(codes),nat(mode)],True)
+                results[role]=dict(status=status,bytes=len(raw) if raw is not None else None,
+                                   sha256=hashlib.sha256(raw).hexdigest() if raw is not None else None,label=label)
+            row=dict(program=index,args=codes,mode=mode,results=results)
+            if oracle:
+                try:wanted=expected(bodies[index],codes,mode);outcome='value'
+                except Bottom:wanted=None;outcome='timeout'
+                row['expected']=dict(status=outcome,sha256=hashlib.sha256(wanted).hexdigest() if wanted is not None else None)
+                matches=all(v['status']==outcome and v['sha256']==row['expected']['sha256'] for v in results.values())
+            else:
+                # Function representation itself may differ, but newly divergent
+                # observation is NOT dismissed as a harmless code-tree change.
+                matches=results['original']['status']==results['candidate']['status']
+                row['different_function_tree']=results['original']['sha256']!=results['candidate']['sha256']
+            report['checks'].append(row)
+            if not matches:
+                report['blocked']=True;report['counterexample']=row
+                print('BLOCKED:',json.dumps(row));return False
+            return True
+
+        # Finite full application with independent constructor/selector oracle.
+        for index in range(len(bodies)):
+            for codes in itertools.product([0,1,2,6],repeat=2):
+                if not check(index,list(codes),0):return
+        report['finite_full_checks']=len(report['checks'])
+        # Expose the enclosing function-construction boundary, even though the
+        # eliminated variable does not occur beneath a lambda in its own body.
+        for index in range(len(bodies)):
+            for code in [0,1,2,3,5,4]:
+                if not check(index,[code],0,oracle=False):return
+        report['partial_application_checks']=len(report['checks'])-report['finite_full_checks']
+        # Non-total data and selector inputs, full forcing vs root/projection.
+        for index in range(len(bodies)):
+            for codes,mode in [([3,0],0),([3,1],0),([5,1],1),([4,0],1),([4,1],1),([3,4],2),([3,4],3)]:
+                if not check(index,codes,mode):return
+        report['complete']=True;print('PASS: broader binding semantic screen')
+    finally:(root/'report.json').write_text(json.dumps(report,indent=2)+'\n')
+
+
+if __name__=='__main__':main()
diff --git a/test/binding_semantics_test.py b/test/binding_semantics_test.py
@@ -0,0 +1,34 @@
+#!/usr/bin/env python3
+"""Intent tests for the independent constructor/selector demand oracle."""
+import unittest
+from binding_semantics import expected,Bottom
+from http_headers import LEAF,TRUE
+from base_workloads import encode as nat
+
+
+class SemanticOracleTests(unittest.TestCase):
+    def test_negation_ignores_unknown_child(self):
+        self.assertEqual(expected('z',[3,0],0),LEAF)
+        self.assertEqual(expected('z',[5,0],0),LEAF)
+        with self.assertRaises(Bottom):expected('z',[4,0],0)
+
+    def test_unselected_branch_is_not_evaluated(self):
+        expr=('choose','z','leaf','flag')
+        self.assertEqual(expected(expr,[4,0],0),LEAF)
+        with self.assertRaises(Bottom):expected(expr,[4,1],0)
+
+    def test_pair_root_and_projection_do_not_force_other_child(self):
+        expr=('pair','x','leaf')
+        self.assertEqual(expected(expr,[4,0],1),nat(2))
+        self.assertEqual(expected(expr,[4,0],3),LEAF)
+        with self.assertRaises(Bottom):expected(expr,[4,0],2)
+        with self.assertRaises(Bottom):expected(expr,[4,0],0)
+
+    def test_selector_uses_root_not_boolean_canonicality(self):
+        expr=('choose','z','leaf','flag')
+        self.assertEqual(expected(expr,[0,2],0),TRUE)
+        self.assertEqual(expected(expr,[0,5],0),TRUE)
+        with self.assertRaises(Bottom):expected(expr,[0,4],0)
+
+
+if __name__=='__main__':unittest.main()
diff --git a/test/binding_stable_integration.py b/test/binding_stable_integration.py
@@ -0,0 +1,74 @@
+#!/usr/bin/env python3
+"""Build the source-owned stable binding pass and screen a self-rebuild.
+
+This is artifact preparation/testing, NOT an accepted compiler generation pair.
+Only the stable source candidate changes; shipped bundles and generation selection stay pinned.
+"""
+import argparse,hashlib,json,time
+from pathlib import Path
+from bootstrap_generations import source_map
+from binding_substitution import ROOT,tree_bytes
+from bundle_dag import read,Intern
+from float_multiply import Runner,sha
+
+
+def main():
+    p=argparse.ArgumentParser(description=__doc__)
+    p.add_argument('tricu',type=Path);p.add_argument('--directory',type=Path,required=True)
+    args=p.parse_args();root=args.directory.resolve()
+    mapping=ROOT/'bootstrap/compiler-source-map.v1'
+    text,entries,required=source_map(mapping,ROOT,'source_build')
+    meta=json.loads((ROOT/'bootstrap/stable-compiler.json').read_text())
+    assert sha(ROOT/meta['bundle'])==meta['sha256']
+    for row in meta['sources']:
+        if row['alias']!='source_stable':assert sha(ROOT/row['path'])==row['sha256'],('unexpected-source-drift',row['path'])
+    certificates=json.loads((ROOT/'bootstrap/binding-certificates.json').read_text())
+    assert sha(ROOT/certificates['source'])==certificates['source_sha256']
+    root.mkdir(parents=True,exist_ok=False);workspace=root/'workspace';workspace.mkdir()
+    for alias,(_,path,_) in entries.items():(workspace/(alias+'.tri')).write_bytes((ROOT/path).read_bytes())
+    (root/'source-map.v1').write_text(text)
+    (workspace/'driver.tri').write_text('!import source_build as B\n!export sourceBuildGraph\nsourceBuildGraph = B.sourceBuildGraphStable\n')
+    runner=Runner(args.tricu,root,1800,memory_mib=8192)
+    report=dict(complete=False,accepted=False,generation_pair=False,backend='stable',
+                profile='source-module.stable.v1',harness_sha256=sha(Path(__file__)),
+                runtime_sha256=sha(args.tricu),accepted_compiler_sha256=meta['sha256'],map_sha256=sha(mapping),
+                certificate_manifest_sha256=sha(ROOT/'bootstrap/binding-certificates.json'),
+                sources={alias:sha(workspace/(alias+'.tri')) for alias in entries},stages=[])
+    try:
+        tool=runner.imported(ROOT/meta['bundle'],'accepted')
+        for stage in range(2):
+            store=root/f'stage-{stage}-store';bundle=root/f'stage-{stage}.arboricx';start=time.monotonic()
+            runner.run(f'build-{stage}',['compile','--file',workspace/'driver.tri','--toolchain',tool,
+                       '--tool-store',runner.store,'--store',store,'--output',bundle,'--compile-timeout','720'],750)
+            record=dict(stage=stage,selected_compiler=tool,bundle_sha256=sha(bundle),seconds=time.monotonic()-start,
+                        modules={},certificates={})
+            report['stages'].append(record)
+            for alias in ['source_binding_support','source_binding','source_stable','source_unit']:
+                manifest=(store/'cache/source-build'/alias).read_text().split('\t')[2]
+                out=root/f'stage-{stage}-{alias}.arboricx'
+                runner.run(f'export-{stage}-{alias}',['export','--store',store,'--module',manifest,'--output',out])
+                record['modules'][alias]=dict(manifest=manifest,bundle_sha256=sha(out))
+            _,_,nodes,exports,_=read(root/f'stage-{stage}-source_binding_support.arboricx')
+            for name,contract in certificates['contracts'].items():
+                digest=hashlib.sha256(tree_bytes(nodes,exports[name])).hexdigest()
+                assert digest==contract['tree_sha256'],('certificate identity changed',stage,name)
+                record['certificates'][name]=digest
+            # Keep original stable lowering, not the old experimental patched
+            # stable module. Only the separately selected backend uses the pass.
+            intern=Intern();fixture=read(ROOT/'test/fixtures/compiler-library.arboricx')
+            stable=read(root/f'stage-{stage}-source_stable.arboricx')
+            fi=intern.graph(fixture[2]);si=intern.graph(stable[2])
+            for name,index in stable[3].items():
+                if name not in ['stableCompileCore','sourceCompileStableDefinition','sourceCompileStableDefinitionWith']:
+                    assert si[index]==fi[fixture[3]['source_stable.'+name]],('unexpected stable export change',stage,name)
+            record['stable_lowering_and_other_exports_unchanged']=True
+            tool=runner.imported(bundle,f'candidate-{stage}')
+        report['exact_self_rebuild']=((root/'stage-0.arboricx').read_bytes()==(root/'stage-1.arboricx').read_bytes())
+        for alias in report['stages'][0]['modules']:
+            report['stages'][1]['modules'][alias]['same_as_stage_0']=((root/f'stage-0-{alias}.arboricx').read_bytes()==(root/f'stage-1-{alias}.arboricx').read_bytes())
+        report['complete']=True
+        print('BUILT stable binding candidate; exact self-rebuild:',report['exact_self_rebuild'])
+    finally:(root/'report.json').write_text(json.dumps(report,indent=2)+'\n')
+
+
+if __name__=='__main__':main()
diff --git a/test/binding_stable_validation.py b/test/binding_stable_validation.py
@@ -0,0 +1,94 @@
+#!/usr/bin/env python3
+"""Validate source-owned certificates, guarded core outputs and real source builds."""
+import argparse,hashlib,json
+from pathlib import Path
+from binding_substitution import ROOT,C,encode,rewrite,transform,resolve,HELPERS,tree_bytes
+from binding_analysis import cases,analyze,expected
+from abstraction_binding_model import programs
+from float_multiply import Runner,sha
+from http_headers import pair,tree_list,expect,LEAF,TRUE
+from base_workloads import encode as nat
+from bundle_dag import read,Intern
+
+
+def main():
+    p=argparse.ArgumentParser(description=__doc__)
+    p.add_argument('tricu',type=Path);p.add_argument('--integration',required=True,type=Path)
+    p.add_argument('--directory',required=True,type=Path)
+    p.add_argument('--prior-workload',type=Path,default=Path('/tmp/tricu-binding-compiler-measure-retry'))
+    args=p.parse_args();integration=args.integration.resolve();root=args.directory.resolve()
+    old=json.loads((integration/'report.json').read_text())
+    assert old['complete'] and old['exact_self_rebuild']
+    assert sha(integration/'stage-1.arboricx')==old['stages'][1]['bundle_sha256']
+    root.mkdir(parents=True,exist_ok=False);workspace=root/'workspace';workspace.mkdir()
+    runner=Runner(args.tricu,root,900,memory_mib=2048)
+    report=dict(complete=False,accepted=False,harness_sha256=sha(Path(__file__)),
+                integration_report_sha256=sha(integration/'report.json'),checks=[])
+    try:
+        accepted=runner.imported(ROOT/'bootstrap/build-stable.arboricx','accepted')
+        candidate=runner.imported(integration/'stage-1.arboricx','candidate')
+        for alias in ['source_binding','source_binding_support']:
+            pin=runner.imported(integration/f'stage-1-{alias}.arboricx',alias)
+            (workspace/(alias+'.tri')).write_text('!export * from '+pin+'\n')
+        (workspace/'driver.tri').write_text('''!import source_binding as B
+!import source_binding_support as K
+!export *
+analysisBatch xs = K.map B.bindingAnalyze xs
+inspectBatch xs = K.map B.bindingInspect xs
+transformBatch xs = K.map B.bindingTransform xs
+''')
+        runner.run('compile-probe',['compile','--file',workspace/'driver.tri','--toolchain',accepted,
+                   '--tool-store',runner.store,'--store',runner.store,'--output',root/'probe.arboricx','--compile-timeout','120'],150)
+        probe=runner.imported(root/'probe.arboricx','probe')
+        (workspace/'helpers.tri').write_text(HELPERS)
+        runner.run('compile-helpers',['compile','--file',workspace/'helpers.tri','--toolchain',accepted,
+                   '--tool-store',runner.store,'--store',runner.store,'--output',root/'helpers.arboricx','--compile-timeout','120'],150)
+        _,_,nodes,exports,_=read(root/'helpers.arboricx');globals={name:tree_bytes(nodes,i) for name,i in exports.items()}
+        selector,negation=globals['choose'],globals['negate']
+        def invoke(label,export,inputs,wanted):
+            path=root/(label+'.tree');path.write_bytes(tree_list(inputs))
+            raw=runner.invoke(label,probe,export,['--arg-tree-file',path])
+            expect(raw,tree_list(wanted),label);report['checks'].append(label)
+        def located(node):
+            k,p=node
+            if k in [3,8]:p=tuple(located(x) for x in p)
+            elif k==4:p=located(p)
+            return C(k,p)
+        bodies=cases(selector)
+        for off in range(0,len(bodies),24):
+            chunk=bodies[off:off+24]
+            invoke('analysis-'+str(off),'analysisBatch',[encode(located(n)) for _,n in chunk],
+                   [expected(analyze(n,selector)) for _,n in chunk])
+        bindings=[]
+        for _,body in bodies:
+            for rhs in [C(1),C(5,TRUE),C(3,(C(5,negation),C(2,0))),C(4,C(2,0)),C(3,(C(5,globals['copy']),C(2,0)))]:
+                bindings.append(C(3,(C(4,located(body)),rhs)))
+        for off in range(0,len(bindings),24):
+            chunk=bindings[off:off+24];wanted=[rewrite(n,selector,negation) for n in chunk]
+            invoke('inspect-'+str(off),'inspectBatch',[encode(n) for n in chunk],
+                   [pair(nat(code),encode(out)) for code,out in wanted])
+        full=[resolve(expr,globals) for expr in programs().values()]
+        invoke('programs','transformBatch',[encode(n) for n in full],[encode(transform(n,selector,negation)) for n in full])
+        report.update(analysis_cases=len(bodies),binding_cases=len(bindings),program_cases=len(full))
+        # Build the original arithmetic workspace with the new explicit backend.
+        workload=root/'arithmetic';workload.mkdir()
+        prior=json.loads((args.prior_workload/'report.json').read_text());assert prior['complete']
+        for name,digest in prior['sources'].items():
+            path=args.prior_workload/'workspace'/name;assert sha(path)==digest
+            (workload/name).write_bytes(path.read_bytes())
+        runner.run('compile-arithmetic',['compile','--file',workload/'driver.tri','--toolchain',candidate,
+                   '--tool-store',runner.store,'--store',root/'arithmetic-store','--output',root/'arithmetic.arboricx',
+                   '--compile-timeout','240'],270)
+        reference=args.prior_workload/'compile-4-candidate.arboricx'
+        assert sha(reference)==next(x['bundle_sha256'] for x in prior['compile_samples'] if x['role']=='candidate' and x['repeat']==4)
+        intern=Intern();graphs=[]
+        for path in [reference,root/'arithmetic.arboricx']:
+            _,_,ns,es,_=read(path);ids=intern.graph(ns);graphs.append({name:ids[i] for name,i in es.items()})
+        assert graphs[0]==graphs[1], 'source-owned backend changes checked arithmetic trees'
+        report['arithmetic_exports_exact']=len(graphs[0]);report['arithmetic_bundle_sha256']=sha(root/'arithmetic.arboricx')
+        report['complete']=True
+        print('PASS:',len(bodies),'analyses,',len(bindings),'binding decisions,',len(full),'cores,',len(graphs[0]),'exact arithmetic exports')
+    finally:(root/'report.json').write_text(json.dumps(report,indent=2)+'\n')
+
+
+if __name__=='__main__':main()
diff --git a/test/binding_substitution.py b/test/binding_substitution.py
@@ -0,0 +1,348 @@
+#!/usr/bin/env python3
+"""Isolated core substitution/rewrite candidate, with named-variable oracle.
+
+No accepted compiler files are edited. Core outputs are later compiled with an
+explicit authenticated stable core compiler; the rewrite is not a default pass.
+"""
+import argparse
+from dataclasses import dataclass, replace
+import hashlib
+import itertools
+import json
+import random
+from pathlib import Path
+
+from float_multiply import Runner,sha
+from base_workloads import encode as nat
+from http_headers import LEAF,TRUE,pair,tree_list,expect
+from bundle_dag import Intern,read,merge_bundles
+from binding_analysis import analyze,decision
+from abstraction_binding_model import programs
+from fixture_sources import verify, snapshot_bytes
+
+ROOT=Path(__file__).resolve().parent.parent
+
+
+@dataclass(frozen=True)
+class C:
+    kind: int
+    payload: object=None
+    start: int=0
+    end: int=1
+
+
+def children(n):
+    return n.payload if n.kind in [3,8] else (n.payload,) if n.kind==4 else ()
+
+
+def encode(n):
+    k,p=n.kind,n.payload
+    if k==3:p=pair(*(encode(c) for c in p))
+    elif k==4:p=encode(p)
+    elif k==8:p=tree_list([encode(c) for c in p])
+    elif k==2:p=nat(p)
+    elif p is None:p=LEAF
+    return pair(nat(k),pair(p,pair(nat(n.start),nat(n.end))))
+
+
+def plain(n):
+    k,p=n.kind,n.payload
+    if k in [3,8]:p=tuple(plain(c) for c in p)
+    elif k==4:p=plain(p)
+    return k,p
+
+
+# Independent substitution oracle: decode indices to globally fresh binder
+# names, substitute names, then re-resolve. No index-shift recurrence is reused.
+def named(n,env=(),prefix='body',counter=None):
+    counter=itertools.count() if counter is None else counter
+    if n.kind==2:
+        name=env[n.payload] if n.payload<len(env) else ('free',n.payload-len(env))
+        return replace(n,payload=name)
+    if n.kind==4:
+        binder=(prefix,next(counter))
+        return replace(n,payload=(binder,named(n.payload,(binder,)+env,prefix,counter)))
+    if n.kind in [3,8]:return replace(n,payload=tuple(named(c,env,prefix,counter) for c in n.payload))
+    return n
+
+
+def replace_name(n,target,value):
+    if n.kind==2:return value if n.payload==target else n
+    if n.kind==4:
+        binder,body=n.payload
+        return replace(n,payload=(binder,replace_name(body,target,value)))
+    if n.kind in [3,8]:return replace(n,payload=tuple(replace_name(c,target,value) for c in n.payload))
+    return n
+
+
+def indexed(n,env=(),free_offset=0):
+    if n.kind==2:
+        name=n.payload
+        index=env.index(name) if name in env else len(env)+name[1]+free_offset
+        return replace(n,payload=index)
+    if n.kind==4:
+        binder,body=n.payload
+        return replace(n,payload=indexed(body,(binder,)+env,free_offset))
+    if n.kind in [3,8]:return replace(n,payload=tuple(indexed(c,env,free_offset) for c in n.payload))
+    return n
+
+
+def substitution(body,rhs):
+    target=('removed',0)
+    return indexed(replace_name(named(body,(target,),prefix='body'),target,named(rhs,prefix='rhs')))
+
+
+def shifted(node,amount,cutoff):
+    ambient=tuple(('ambient',i) for i in range(cutoff))
+    return indexed(named(node,ambient,prefix='shift'),ambient,amount)
+
+
+def literal_bool(n):
+    if n.kind==1:return True
+    if n.kind in [5,6]:return n.payload in [LEAF,TRUE]
+    leaf=lambda c:c.kind==1 or (c.kind==5 and c.payload==LEAF)
+    return n.kind==3 and all(leaf(c) for c in n.payload)
+
+
+def bool_rhs(n,negation):
+    return literal_bool(n) or (n.kind==3 and n.payload[0].kind==5 and n.payload[0].payload==negation
+                              and (n.payload[1].kind==2 or literal_bool(n.payload[1])))
+
+
+def has_lambda(n):return n.kind==4 or any(has_lambda(c) for c in children(n))
+
+
+def rewrite(n,selector,negation):
+    if n.kind!=3 or n.payload[0].kind!=4:return 9,n
+    body,rhs=n.payload[0].payload,n.payload[1]
+    code=decision(analyze(plain(body),selector))
+    if code!=1:return code,n
+    if not bool_rhs(rhs,negation):return 7,n
+    if has_lambda(body):return 8,n
+    return 1,replace(substitution(body,rhs),start=n.start,end=n.end)
+
+
+def transform(n,selector,negation):
+    if n.kind==3 and n.payload[0].kind==4:return rewrite(n,selector,negation)[1]
+    if n.kind in [3,8]:return replace(n,payload=tuple(transform(c,selector,negation) for c in n.payload))
+    if n.kind==4:return replace(n,payload=transform(n.payload,selector,negation))
+    return n
+
+
+def resolve(expr,globals,env=(),serial=None):
+    serial=itertools.count() if serial is None else serial
+    loc=next(serial)*3
+    k=expr[0]
+    if k=='var':
+        name=expr[1]
+        if name in env:return C(2,env.index(name),loc,loc+2)
+        return C(1,None,loc,loc+2) if name=='t' else C(5,globals[name],loc,loc+2)
+    if k=='lam':return C(4,resolve(expr[2],globals,(expr[1],)+env,serial),loc,loc+2)
+    return C(3,(resolve(expr[1],globals,env,serial),resolve(expr[2],globals,env,serial)),loc,loc+2)
+
+
+def random_core(rng,depth=4):
+    span=dict(start=rng.randrange(1000),end=rng.randrange(1000,2000))
+    k=rng.choice([1,2,2,5,6,7] if not depth else [1,2,3,3,4,8])
+    if k==2:p=rng.randrange(7)
+    elif k==3:p=tuple(random_core(rng,depth-1) for _ in range(2))
+    elif k==4:p=random_core(rng,depth-1)
+    elif k==8:p=tuple(random_core(rng,depth-1) for _ in range(rng.randrange(4)))
+    elif k in [5,6,7]:p=nat(rng.randrange(64))
+    else:p=None
+    return C(k,p,**span)
+
+
+def tree_bytes(nodes,root):
+    out=bytearray();todo=[root]
+    while todo:
+        node=nodes[todo.pop()];out.append(node[0]);todo.extend(reversed(node[1:]))
+    return bytes(out)
+
+
+HELPERS='''!export *
+triage leaf stem fork = t (t leaf stem) fork
+choose yes no value = triage no (_ : yes) (_ _ : yes) value
+negate x = choose t (t t) x
+both a b = choose b t a
+either a b = choose (t t) b a
+head x = triage t (_ : t) (a _ : a) x
+tail x = triage t (_ : t) (_ b : b) x
+copy xs = triage t (_ : t) (a b : t (t a) (copy b)) xs
+loop x = loop x
+applyOne f x = f x
+applyTwo f a b = f a b
+applyThree f a b c = f a b c
+unusedFlag f = f (loop t) t
+branchNegatedHead f = head (f (t t) (t (loop t)))
+branchNegatedTail f = tail (f t (t (loop t)))
+adderKnownCarryZero f = tail (f t (loop t) t)
+adderKnownCarryOne f = tail (f (t t) (t t) (loop t))
+'''
+
+
+def main():
+    p=argparse.ArgumentParser(description=__doc__)
+    p.add_argument('tricu',type=Path)
+    p.add_argument('--directory',type=Path,required=True)
+    args=p.parse_args()
+    root=args.directory.resolve();root.mkdir(parents=True,exist_ok=False)
+    workspace=root/'workspace';workspace.mkdir()
+    files={'substitution.tri':'bench/binding-substitution.tri','analysis.tri':'bench/binding-analysis.tri',
+           'kernels.tri':'bench/float-significands.tri','native_math.tri':'lib/math/native.tri'}
+    for name,path in files.items():(workspace/name).write_bytes((ROOT/path).read_bytes())
+    (workspace/'helpers.tri').write_text(HELPERS)
+    report=dict(complete=False,mode='isolated-core-candidate-not-installed',runtime_sha256=sha(args.tricu),
+                compiler_sha256=sha(ROOT/'bootstrap/build-stable.arboricx'),harness_sha256=sha(Path(__file__)),
+                analysis_oracle_sha256=sha(ROOT/'test/binding_analysis.py'),
+                fixture_ast_sha256=sha(ROOT/'test/abstraction_binding_model.py'),
+                sources={name:sha(workspace/name) for name in [*files,'helpers.tri']},checks=[],programs=[])
+    runner=Runner(args.tricu,root,1200,memory_mib=2048)
+    try:
+        tool=runner.imported(ROOT/'bootstrap/build-stable.arboricx','compiler')
+        for name in ['substitution','helpers']:
+            runner.run('compile-'+name,['compile','--file',workspace/(name+'.tri'),'--toolchain',tool,
+                       '--tool-store',runner.store,'--store',runner.store,'--output',root/(name+'.arboricx'),
+                       '--compile-timeout','240'],270)
+        pin=runner.imported(root/'substitution.arboricx','substitution')
+        helperpin=runner.imported(root/'helpers.arboricx','helpers')
+        _,_,nodes,exports,_=read(root/'helpers.arboricx')
+        globals={name:tree_bytes(nodes,i) for name,i in exports.items()}
+        selector,negation=globals['choose'],globals['negate']
+        cert=root/'certificates.tree';cert.write_bytes(pair(selector,negation))
+        report['certificates']={name:hashlib.sha256(globals[name]).hexdigest() for name in ['choose','negate']}
+        report['substitution_bundle_sha256']=sha(root/'substitution.arboricx')
+
+        def invoke(label,export,values,wanted=None,subject=pin):
+            argv=[]
+            for i,value in enumerate(values):
+                path=root/f'{label}-{i}.tree';path.write_bytes(value);argv += ['--arg-tree-file',path]
+            actual=runner.invoke(label,subject,export,argv)
+            if wanted is not None:expect(actual,wanted,label)
+            report['checks'].append(dict(label=label,result_sha256=hashlib.sha256(actual).hexdigest()))
+            return actual
+
+        rng=random.Random(2701)
+        subs=[(random_core(rng,3),random_core(rng,4)) for _ in range(192)]
+        # Ordered pairs are RHS, body. Explicit capture, shadow, and outer-index cases.
+        subs += [(C(2,0,7,8),C(4,C(3,(C(2,1,20,21),C(2,0,22,23)),18,24),10,30)),
+                 (C(4,C(2,0,7,8),6,9),C(4,C(2,1,11,12),10,13)),
+                 (C(1,None,1,2),C(2,5,31,32))]
+        for off in range(0,len(subs),24):
+            chunk=subs[off:off+24]
+            invoke('substitute-'+str(off),'substituteBatch',
+                   [tree_list([pair(encode(rhs),encode(body)) for rhs,body in chunk])],
+                   tree_list([encode(substitution(body,rhs)) for rhs,body in chunk]))
+        shifts=[(rng.randrange(5),rng.randrange(5),random_core(rng)) for _ in range(128)]
+        for off in range(0,len(shifts),24):
+            chunk=shifts[off:off+24]
+            invoke('shift-'+str(off),'shiftBatch',
+                   [tree_list([pair(nat(a),pair(nat(c),encode(n))) for a,c,n in chunk])],
+                   tree_list([encode(shifted(n,a,c)) for a,c,n in chunk]))
+        report['substitution_cases']=len(subs);report['shift_cases']=len(shifts)
+
+        full={name:resolve(expr,globals) for name,expr in programs().items()}
+        bindings=[]
+        def collect(name,n):
+            if n.kind==3 and n.payload[0].kind==4:bindings.append((name,n))
+            for child in children(n):collect(name,child)
+        for name,n in full.items():collect(name,n)
+        z=C(2,0,10,11);x=C(2,1,12,13);t=C(1,None,1,2)
+        bind=lambda body,rhs:C(3,(C(4,body,50,60),rhs),40,80)
+        bindings += [('literal-bool',bind(C(3,(C(3,(t,z)),x)),C(3,(t,t)))),
+                     ('rhs-lambda',bind(z,C(4,C(2,0)))),
+                     ('rhs-unknown',bind(z,C(3,(C(5,globals['copy']),C(2,0))))),
+                     ('rhs-negation-computation',bind(z,C(3,(C(5,negation),C(3,(C(5,globals['copy']),C(2,0))))))),
+                     ('unrelated-body-lambda',bind(C(3,(C(3,(t,z)),C(4,C(2,0)))),C(5,TRUE))),
+                     ('not-binding',C(3,(t,z)))]
+        bindings += [(f'generated-{i}',bind(random_core(rng),C(3,(C(5,negation),C(2,0))))) for i in range(128)]
+        for off in range(0,len(bindings),24):
+            chunk=bindings[off:off+24]
+            invoke('rewrite-'+str(off),'rewriteBatch',[pair(selector,negation),tree_list([encode(n) for _,n in chunk])],
+                   tree_list([pair(nat(code),encode(out)) for code,out in [rewrite(n,selector,negation) for _,n in chunk]]))
+        report['rewrite_decisions']=[dict(name=name,code=rewrite(n,selector,negation)[0],
+                                        unchanged=encode(rewrite(n,selector,negation)[1])==encode(n)) for name,n in bindings]
+        originals=list(full.items())
+        outputs=invoke('transform-programs','transformBatch',[pair(selector,negation),tree_list([encode(n) for _,n in originals])],
+                       tree_list([encode(transform(n,selector,negation)) for _,n in originals]))
+
+        # Authenticate the retained stable core compiler and its source snapshot.
+        rows=verify(ROOT/'test/fixtures')
+        stable=next(row for row in rows if row[2]=='source_stable')
+        assert snapshot_bytes(ROOT/'test/fixtures',stable[4])==(ROOT/'lib/source/stable.tri').read_bytes()
+        compiler=root/'core-compiler.arboricx'
+        merge_bundles(compiler,[(ROOT/'test/fixtures/compiler-library.arboricx',
+                       [('source_stable.stableCompileCore','compile')])],prune_unreachable=True)
+        compilerpin=runner.imported(compiler,'core-compiler')
+        report['core_compiler_bundle_sha256']=sha(compiler)
+        # Bind the retained worker to the actual accepted compiler, not merely
+        # to a matching source file: its entire tree must occur in that closure.
+        reference=read(compiler); shipped=read(ROOT/'bootstrap/build-stable.arboricx')
+        intern=Intern(); refids=intern.graph(reference[2]); shippedids=intern.graph(shipped[2])
+        target=refids[reference[3]['compile']]
+        seen=set();pending=[shipped[3]['sourceBuildGraph']]
+        while pending:
+            index=pending.pop()
+            if index not in seen:seen.add(index);pending.extend(shipped[2][index][1:])
+        assert target in {shippedids[index] for index in seen}, 'core worker differs from shipped compiler'
+        report['core_compiler_exact_tree_in_shipped_closure']=True
+        compiled={}
+        from source_order import end
+        for name,n in originals:
+            transformed=transform(n,selector,negation)
+            for role,core_node in [('original',n),('candidate',transformed)]:
+                result=invoke('core-'+name+'-'+role,'compile',[encode(core_node)],subject=compilerpin)
+                if result[:4]!=b'\2\1\0\2':raise AssertionError(('core compilation failure',name,role,result[:32]))
+                body=result[4:];tree=body[:end(body)]
+                expect(result,b'\2\1\0\2'+tree+LEAF,'compile envelope')
+                compiled[name,role]=tree
+            unchanged=encode(n)==encode(transformed)
+            if unchanged:expect(compiled[name,'candidate'],compiled[name,'original'],'unchanged function '+name)
+            report['programs'].append(dict(name=name,core_changed=not unchanged,
+                                           compiled_tree_changed=compiled[name,'candidate']!=compiled[name,'original']))
+        for bound,inline in [('singleBound','singleInline'),('branchBound','branchInline'),('adderBound','adderInline')]:
+            expect(compiled[bound,'candidate'],compiled[inline,'original'],'known-inline-tree '+bound)
+
+        # Concrete independent results; originals/candidates get identical args.
+        for role in ['original','candidate']:
+            for name in ['singleBound','branchBound','constructorBound']:
+                for f in [False,True]:
+                    for xval in [False,True]:
+                        xbytes=TRUE if xval else LEAF
+                        zbytes=b'\1'+xbytes if name=='constructorBound' else LEAF if xval else TRUE
+                        want=pair(zbytes,xbytes) if name=='singleBound' or f else pair(xbytes,zbytes)
+                        invoke(f'value-{role}-{name}-{f}-{xval}','applyTwo',
+                               [compiled[name,role],TRUE if f else LEAF,xbytes],want,helperpin)
+            for a,b,c in itertools.product([False,True],repeat=3):
+                total=a+b+c
+                invoke(f'adder-{role}-{a}{b}{c}','applyThree',
+                       [compiled['adderBound',role]]+[TRUE if v else LEAF for v in [a,b,c]],
+                       pair(TRUE if total%2 else LEAF,TRUE if total>=2 else LEAF),helperpin)
+            xs=nat([0,1,2,3]);copied=tree_list([b'\1'+nat(i) for i in range(4)])
+            invoke('sharing-'+role,'applyOne',[compiled['sharedBound',role],xs],pair(copied,copied),helperpin)
+            invoke('unused-'+role,'applyOne',[compiled['unusedBound',role],TRUE],TRUE,helperpin)
+            invoke('unselected-'+role,'applyOne',[compiled['closedBranchBound',role],LEAF],LEAF,helperpin)
+            # Rejected capture and closed-computation bindings remain exact trees;
+            # both original and candidate must retain their full-observation demand.
+            for name,extra in [('closureBound',[LEAF]),('closedBranchBound',[TRUE])]:
+                try:
+                    invoke('demand-'+name+'-'+role,'applyOne',[compiled[name,role],*extra],subject=helperpin)
+                    raise AssertionError('expected demand timeout')
+                except RuntimeError as error:
+                    if str(error)!='wall-time guard exceeded':raise
+                    report.setdefault('demand',[]).append(dict(name=name,role=role,outcome='timeout',seconds=3))
+        for role in ['original','candidate']:
+            for probe,name,wanted in [
+                ('unusedFlag','singleBound',pair(TRUE,LEAF)),
+                ('branchNegatedHead','branchBound',LEAF),
+                ('branchNegatedTail','branchBound',LEAF),
+                ('adderKnownCarryZero','adderBound',LEAF),
+                ('adderKnownCarryOne','adderBound',TRUE)]:
+                invoke('partial-'+probe+'-'+role,probe,[compiled[name,role]],wanted,helperpin)
+        report['partial_result_checks']=10
+        report['complete']=True
+        print('PASS: shift/substitution/rewrite core oracles, exact unchanged trees, and isolated compiled controls')
+    finally:(root/'report.json').write_text(json.dumps(report,indent=2)+'\n')
+
+
+if __name__=='__main__':main()
diff --git a/test/binding_substitution_test.py b/test/binding_substitution_test.py
@@ -0,0 +1,53 @@
+#!/usr/bin/env python3
+"""Intent controls for the named-variable substitution and rewrite oracle."""
+import unittest
+from binding_substitution import C,substitution,shifted,rewrite,transform,encode
+from http_headers import LEAF,TRUE
+from base_workloads import encode as nat
+
+
+class SubstitutionTests(unittest.TestCase):
+    selector=nat(98765)
+    negation=nat(98766)
+
+    def test_capture_avoidance_and_span_origins(self):
+        rhs=C(2,0,70,80)
+        body=C(4,C(3,(C(2,1,20,21),C(2,0,22,23)),18,24),10,30)
+        wanted=C(4,C(3,(C(2,1,70,80),C(2,0,22,23)),18,24),10,30)
+        self.assertEqual(substitution(body,rhs),wanted)
+
+    def test_outer_indices_decrease(self):
+        self.assertEqual(substitution(C(2,5,20,30),C(1)),C(2,4,20,30))
+
+    def test_rhs_local_binding_not_shifted(self):
+        rhs=C(4,C(2,0,7,8),6,9)
+        self.assertEqual(substitution(C(4,C(2,1),10,20),rhs),C(4,rhs,10,20))
+
+    def test_shift_cutoff_and_zero(self):
+        node=C(3,(C(2,0,1,2),C(2,2,3,4)),0,5)
+        self.assertEqual(shifted(node,3,1),C(3,(C(2,0,1,2),C(2,5,3,4)),0,5))
+        self.assertEqual(shifted(node,0,1),node)
+
+    def test_binding_outer_span_preserved(self):
+        rhs=C(5,TRUE,7,8)
+        binding=C(3,(C(4,C(2,0,20,21),10,30),rhs),1,40)
+        code,out=rewrite(binding,self.selector,self.negation)
+        self.assertEqual(code,1)
+        self.assertEqual(out,C(5,TRUE,1,40))
+
+    def test_uncertified_rhs_and_unrelated_lambda_rejected_exactly(self):
+        bodies=[(C(2,0),C(4,C(2,0)),7),
+                (C(8,(C(2,0),C(4,C(2,0)))),C(5,TRUE),8)]
+        for body,rhs,expected in bodies:
+            node=C(3,(C(4,body),rhs),10,20)
+            code,out=rewrite(node,self.selector,self.negation)
+            self.assertEqual(code,expected)
+            self.assertEqual(encode(out),encode(node))
+
+    def test_rejected_parent_does_not_rewrite_children(self):
+        child=C(3,(C(4,C(2,0)),C(5,TRUE)))
+        parent=C(3,(C(4,C(8,(C(2,0),child))),C(4,C(2,0))))
+        self.assertEqual(transform(parent,self.selector,self.negation),parent)
+
+
+if __name__=='__main__':unittest.main()
diff --git a/test/float_adders.py b/test/float_adders.py
@@ -0,0 +1,151 @@
+#!/usr/bin/env python3
+"""Adder Boolean demand/order and local-binding source-form investigation."""
+import argparse
+import hashlib
+import json
+import platform
+import random
+import statistics
+from pathlib import Path
+
+from float_multiply import Runner, sha
+from base_workloads import encode as nat
+from http_headers import LEAF, TRUE, pair, tree_list, expect
+from bundle_dag import read
+
+ROOT = Path(__file__).resolve().parent.parent
+VARIANTS = ['native','originalMux','ordered','inline']
+
+
+def wrappers():
+    lines = []
+    for v in VARIANTS:
+        for suffix,consumer in [('Full',''),('Low','N.odd '),('Next','head (tail ' )]:
+            expr = f'{v}Add (head x) (tail x)'
+            if suffix == 'Next':
+                expr = f'head (tail ({expr}))'
+            elif consumer:
+                expr = f'{consumer}({expr})'
+            lines.append(f'{v}{suffix} xs = map (x : {expr}) xs')
+        probes = {'UnknownLow': f'head (tail ({v}Add 2 (t (spin x) 1)))',
+                  'UnknownLowHigh': f'head (tail (tail ({v}Add 2 (t (spin x) 1))))',
+                  'LowWithoutTails': f'head ({v}Add (t (t t) (spin x)) (t t (spin x)))',
+                  'RightZero': f'head ({v}Add (t (t t) (spin x)) 0)',
+                  'LeftZero': f'head ({v}Add 0 (t (t t) (spin x)))'}
+        lines += [f'{v}{name} x = {expr}' for name,expr in probes.items()]
+    for name,worker in [('nativeProduct','N.multiply'),('originalMuxProduct','M.mux'),
+                        ('orderedProduct','orderedMultiply'),('inlineProduct','inlineMultiply')]:
+        lines.append(f'{name} xs = map (x : {worker} (head x) (tail x)) xs')
+    return '\n'.join(lines)+'\n'
+
+
+def main():
+    p = argparse.ArgumentParser(description=__doc__)
+    p.add_argument('tricu',type=Path)
+    p.add_argument('--directory',required=True,type=Path)
+    p.add_argument('--size',type=int,default=16)
+    p.add_argument('--repeats',type=int,default=5)
+    args = p.parse_args()
+    if not 4 <= args.size <= 64 or not 3 <= args.repeats <= 10:
+        p.error('size 4..64; repeats 3..10')
+    root = args.directory.resolve();root.mkdir(parents=True,exist_ok=False)
+    workspace = root/'workspace';workspace.mkdir()
+    sources = {'driver.tri':'bench/float-adders.tri','multiply.tri':'bench/float-multiply.tri',
+               'pipelines.tri':'bench/float-pipelines.tri','kernels.tri':'bench/float-significands.tri',
+               'layouts.tri':'bench/float-layouts.tri','native_math.tri':'lib/math/native.tri'}
+    for name,path in sources.items():
+        (workspace/name).write_bytes((ROOT/path).read_bytes())
+    with (workspace/'driver.tri').open('a') as f:f.write(wrappers())
+    runner = Runner(args.tricu,root,900,memory_mib=2048)
+    report = dict(complete=False,runtime_sha256=sha(args.tricu),compiler_sha256=sha(ROOT/'bootstrap/build-stable.arboricx'),
+                  harness_sha256=sha(Path(__file__)),runner_dependency_sha256=sha(ROOT/'test/float_multiply.py'),
+                  platform=platform.platform(),sources={name:sha(ROOT/path) for name,path in sources.items()},
+                  staged_driver_sha256=sha(workspace/'driver.tri'),validation=[],demand=[],samples=[],summaries=[])
+    try:
+        tool = runner.imported(ROOT/'bootstrap/build-stable.arboricx','compiler')
+        bundle = root/'adders.arboricx'
+        runner.run('compile',['compile','--file',workspace/'driver.tri','--toolchain',tool,
+                   '--tool-store',runner.store,'--store',runner.store,'--output',bundle,'--compile-timeout','240'],270)
+        pin = runner.imported(bundle,'adders');report['bundle_sha256']=sha(bundle)
+        _,_,nodes,exports,_ = read(bundle)
+        report['compiled_shapes'] = []
+        for name in [v+'Add' for v in VARIANTS]:
+            seen,todo=set(),[exports[name]]
+            while todo:
+                i=todo.pop()
+                if i not in seen:seen.add(i);todo.extend(nodes[i][1:])
+            report['compiled_shapes'].append(dict(name=name,reachable_dag_nodes=len(seen)))
+
+        def run(label,name,raw,wanted,measure=False):
+            path=root/(label+'.input.tree');path.write_bytes(raw)
+            actual=runner.invoke(label,pin,name,['--arg-tree-file',path]+(['--profile-full-result'] if measure else []))
+            expect(actual,wanted,label)
+            if not measure:
+                report['validation'].append(dict(label=label,input_sha256=hashlib.sha256(raw).hexdigest(),
+                                                output_sha256=hashlib.sha256(actual).hexdigest()))
+                return
+            log=(root/(label+'.log')).read_text()
+            points={v['profile']:v for line in log.splitlines() if line.startswith('{') for v in [json.loads(line)]}
+            before,after=points['invoke-begin-1'],points['force-end-1']
+            return dict(wall_ns=after['wall_ns']-before['wall_ns'],allocated_bytes=after['allocated_bytes']-before['allocated_bytes'])
+
+        def material(rows,consumer):
+            values=[a*b if consumer=='Product' else a+b for a,b in rows]
+            if consumer in ['Low','Next']:
+                wanted=tree_list([TRUE if n & (1 if consumer=='Low' else 2) else LEAF for n in values])
+            else:wanted=nat(values)
+            return tree_list([pair(nat(a),nat(b)) for a,b in rows]),wanted
+
+        rng=random.Random(53106)
+        cases=[(a,b) for a in range(16) for b in range(16)]
+        for w in [8,53,106,212]:
+            cases += [(a,b) for a in [(1 << w)-1,1 << w,(1 << w)+1] for b in [0,1,(1 << w)-1]]
+            cases += [(rng.getrandbits(w),rng.getrandbits(w)) for _ in range(8)]
+        report['addition_cases']=len(cases)
+        for v in VARIANTS:
+            for suffix in ['Full','Low','Next']:
+                raw,wanted=material(cases,suffix);run('check-'+v+suffix,v+suffix,raw,wanted)
+        # These probes inspect actual sum trees, not a separately copied Boolean function.
+        for v in VARIANTS:
+            for suffix,wanted in [('UnknownLow',LEAF),('UnknownLowHigh',TRUE),('LowWithoutTails',TRUE),
+                                   ('RightZero',TRUE),('LeftZero',TRUE)]:
+                label='demand-'+v+suffix
+                try:
+                    run(label,v+suffix,LEAF,wanted)
+                    report['demand'].append(dict(name=v,probe=suffix,outcome='expected-result'))
+                except RuntimeError as error:
+                    if v!='originalMux' or suffix not in ['UnknownLow','UnknownLowHigh'] or str(error)!='wall-time guard exceeded':
+                        raise
+                    report['demand'].append(dict(name=v,probe=suffix,outcome='timeout',seconds=3))
+        schedule=[]
+        for w in [53,106]:
+            groups={'random':[(rng.getrandbits(w-1)+(1 << (w-1)),rng.getrandbits(w-1)+(1 << (w-1))) for _ in range(args.size)],
+                    'carry':[((1 << w)-1,1+(i%2)) for i in range(args.size)]}
+            for group,rows in groups.items():
+                for v in VARIANTS:
+                    for suffix in ['Full','Low','Next']:
+                        raw,wanted=material(rows,suffix)
+                        schedule.append((f'{w}-{group}',v+suffix,raw,wanted))
+                if w==53:
+                    for v in VARIANTS:
+                        raw,wanted=material(rows,'Product')
+                        run('check-'+group+'-'+v+'Product',v+'Product',raw,wanted)
+                        schedule.append((f'{w}-{group}',v+'Product',raw,wanted))
+        for repeat in range(args.repeats):
+            rng.shuffle(schedule)
+            for group,name,raw,wanted in schedule:
+                sample=run(f'{group}-{name}-{repeat}',name,raw,wanted,True)
+                report['samples'].append(dict(group=group,name=name,size=args.size,repeat=repeat,warmup=repeat==0,**sample))
+        for group,name,_,_ in sorted(schedule):
+            rows=[s for s in report['samples'] if s['group']==group and s['name']==name and not s['warmup']]
+            row=dict(group=group,name=name,size=args.size)
+            for key in ['wall_ns','allocated_bytes']:
+                row[key]=statistics.median(s[key] for s in rows)
+                row[key+'_min']=min(s[key] for s in rows);row[key+'_max']=max(s[key] for s in rows)
+            report['summaries'].append(row);print(json.dumps(row),flush=True)
+        report['complete']=True
+    finally:
+        (root/'report.json').write_text(json.dumps(report,indent=2)+'\n')
+
+
+if __name__=='__main__':main()
diff --git a/test/float_adders_demand_test.py b/test/float_adders_demand_test.py
@@ -0,0 +1,65 @@
+#!/usr/bin/env python3
+"""Flat-domain Boolean checks for the experimental full-adder rewrites.
+
+This supplements actual lazy-tricu demand probes. It is not a proof about all
+arbitrary Tree Calculus values, source contexts, or structural observations.
+"""
+import itertools
+import unittest
+
+
+class Bottom(Exception):
+    pass
+
+
+def observe(expression, values):
+    def force(value):
+        if value is None:
+            raise Bottom()
+        return value
+    a,b,c = [lambda value=value: force(value) for value in values]
+    try:
+        return expression(a,b,c)
+    except Bottom:
+        return None
+
+
+def native_carry(a,b,c):
+    return (a() and b()) or (c() and (a() or b()))
+
+
+def original_mux_carry(a,b,c):
+    return (b() or c()) if a() else (b() and c())
+
+
+def ordered_carry(a,b,c):
+    return (b() or c()) if a() else (c() and b())
+
+
+def native_sum(a,b,c):
+    first = (not b()) if a() else b()
+    return (not c()) if first else c()
+
+
+def mux_sum(a,b,c):
+    return (c() if b() else not c()) if a() else ((not c()) if b() else c())
+
+
+class AdderDemandTests(unittest.TestCase):
+    def test_ordered_carry_all_partial_booleans(self):
+        for values in itertools.product([False,True,None],repeat=3):
+            self.assertIs(observe(native_carry,values),observe(ordered_carry,values),values)
+
+    def test_sum_all_partial_booleans(self):
+        for values in itertools.product([False,True,None],repeat=3):
+            self.assertIs(observe(native_sum,values),observe(mux_sum,values),values)
+
+    def test_original_mux_counterexample(self):
+        values = (False,None,False)
+        self.assertIs(observe(native_carry,values),False)
+        self.assertIs(observe(original_mux_carry,values),None)
+        self.assertIs(observe(ordered_carry,values),False)
+
+
+if __name__=='__main__':
+    unittest.main()
diff --git a/test/float_layouts.py b/test/float_layouts.py
@@ -0,0 +1,122 @@
+#!/usr/bin/env python3
+"""Opt-in binary64 layout screen; no production encodings or fixtures changed."""
+import argparse
+import hashlib
+import json
+import platform
+import random
+import statistics
+from pathlib import Path
+
+from collections_batch import ProbeRunner
+from base_workloads import encode as natural
+from http_headers import LEAF, TRUE, pair, tree_list, expect
+
+ROOT = Path(__file__).resolve().parent.parent
+
+
+def sha(path):
+    return hashlib.sha256(path.read_bytes()).hexdigest()
+
+
+def corpus(size):
+    # Signed zeros, subnormal edges, normal edges, infinities, and NaN payloads.
+    special = [0, 1, (1 << 52)-1, 1 << 52, 0x3ff0000000000000,
+               0x3ff0000000000001, 0x7fefffffffffffff, 0x7ff0000000000000,
+               0x7ff0000000000001, 0x7ff8000000000000, 0x7fffffffffffffff]
+    words = special + [w | (1 << 63) for w in special]
+    rng = random.Random(640053)
+    words += [rng.getrandbits(64) for _ in range(max(0, size-len(words)))]
+    return words
+
+
+def fields(w):
+    return pair(TRUE if w >> 63 else LEAF,
+                pair(natural((w >> 52) & 2047), natural(w & ((1 << 52)-1))))
+
+
+def representations(w):
+    return {'field': fields(w), 'packed': natural(w),
+            'word': pair(natural(w & 0xffffffff), natural(w >> 32)),
+            'byte': tree_list([natural(b) for b in w.to_bytes(8, 'little')])}
+
+
+def main():
+    p = argparse.ArgumentParser(description=__doc__)
+    p.add_argument('tricu', type=Path)
+    p.add_argument('--directory', type=Path, required=True)
+    p.add_argument('--repeats', type=int, default=5)
+    p.add_argument('--size', type=int, default=128)
+    p.add_argument('--seconds', type=int, default=600)
+    args = p.parse_args()
+    if not 3 <= args.repeats <= 15 or not 22 <= args.size <= 4096:
+        p.error('repeats must be 3..15 and size 22..4096')
+    root = args.directory.resolve()
+    root.mkdir(parents=True, exist_ok=False)
+    workspace = root/'workspace'
+    workspace.mkdir()
+    sources = {'driver.tri': ROOT/'bench/float-layouts.tri',
+               'native_math.tri': ROOT/'lib/math/native.tri'}
+    for name, path in sources.items():
+        (workspace/name).write_bytes(path.read_bytes())
+    runner = ProbeRunner(args.tricu, root, args.seconds, memory_mib=2048)
+    report = dict(complete=False, scope='fresh-process-invoke-through-full-force',
+                  runtime_sha256=sha(args.tricu), harness_sha256=sha(Path(__file__)),
+                  compiler_sha256=sha(ROOT/'bootstrap/build-stable.arboricx'),
+                  platform=platform.platform(), sources={k: sha(v) for k,v in sources.items()},
+                  samples=[], summaries=[])
+    try:
+        tool = runner.imported(ROOT/'bootstrap/build-stable.arboricx', 'compiler')
+        bundle = root/'layouts.arboricx'
+        runner.run('compile', ['compile', '--file', workspace/'driver.tri',
+            '--toolchain', tool, '--tool-store', runner.store, '--store', runner.store,
+            '--output', bundle, '--compile-timeout', '240'], 270)
+        pin = runner.imported(bundle, 'layouts')
+        report['bundle_sha256'] = sha(bundle)
+        words = corpus(args.size)
+        report['size'] = len(words)
+        inputs = {}
+        for layout in ['field', 'packed', 'word', 'byte']:
+            inputs[layout] = root/(layout+'.tree')
+            inputs[layout].write_bytes(tree_list([representations(w)[layout] for w in words]))
+        expected = {'Signs': tree_list([TRUE if w >> 63 else LEAF for w in words]),
+                    'Exponents': tree_list([natural((w >> 52) & 2047) for w in words]),
+                    'Unpacks': tree_list([fields(w) for w in words])}
+        jobs = [(layout+op, layout, expected[op])
+                for layout in inputs for op in expected]
+        jobs += [(layout+'Fast'+op, layout, expected[op])
+                 for layout in ['packed', 'word', 'byte'] for op in ['Exponents', 'Unpacks']]
+        jobs.append(('constantSigns', 'field', tree_list([TRUE]*len(words))))
+        rng = random.Random(1053)
+        for repeat in range(args.repeats):
+            rng.shuffle(jobs)
+            for name, layout, wanted in jobs:
+                label = f'{name}-{repeat}'
+                actual = runner.invoke(label, pin, name,
+                    ['--arg-tree-file', inputs[layout], '--profile-full-result'])
+                expect(actual, wanted, label)
+                log = (root/(label+'.log')).read_text()
+                samples = {v['profile']:v for line in log.splitlines() if line.startswith('{')
+                           for v in [json.loads(line)]}
+                before, after = samples['invoke-begin-1'], samples['force-end-1']
+                report['samples'].append(dict(name=name, repeat=repeat, warmup=repeat==0,
+                    wall_ns=after['wall_ns']-before['wall_ns'],
+                    allocated_bytes=after['allocated_bytes']-before['allocated_bytes']))
+        for name in ['fieldDemand', 'wordDemand']:
+            expect(runner.invoke(name, pin, name, ['--arg-tree-file', inputs['field']]), TRUE, name)
+        for name, _, _ in sorted(jobs):
+            rows = [r for r in report['samples'] if r['name']==name and not r['warmup']]
+            row = dict(name=name)
+            for key in ['wall_ns', 'allocated_bytes']:
+                row[key] = statistics.median(r[key] for r in rows)
+                row[key+'_min'] = min(r[key] for r in rows)
+                row[key+'_max'] = max(r[key] for r in rows)
+            report['summaries'].append(row)
+            print(json.dumps(row), flush=True)
+        report['complete'] = True
+    finally:
+        (root/'report.json').write_text(json.dumps(report, indent=2)+'\n')
+
+
+if __name__ == '__main__':
+    main()
diff --git a/test/float_multiply.py b/test/float_multiply.py
@@ -0,0 +1,187 @@
+#!/usr/bin/env python3
+"""Multiplication work/source-form screen on the unchanged lazy reference host."""
+import argparse
+import hashlib
+import json
+import platform
+import random
+import statistics
+from pathlib import Path
+
+from collections_batch import ProbeRunner
+from base_workloads import encode as nat
+from http_headers import LEAF, TRUE, pair, tree_list, expect
+from float_pipelines import finish, encoded_result
+from bundle_dag import read
+
+ROOT = Path(__file__).resolve().parent.parent
+VARIANTS = ['native','hoisted','topBit','fused','positive','accumulate','karatsuba','mux','adaptive']
+
+
+def sha(path):
+    return hashlib.sha256(path.read_bytes()).hexdigest()
+
+
+def wrappers():
+    out = []
+    for name in VARIANTS:
+        for suffix,consumer in [('Exact',''),('Rounded','P.finishL '),('Bounded','finish53 ')]:
+            out.append(f'{name}{suffix} xs = map (x : {consumer}({name} (head x) (tail x))) xs')
+        out += [f'{name}Zero x = {name} (spin x) 0',
+                f'{name}Low x = head ({name} (t (t t) (spin x)) 1)',
+                f'{name}ShiftLow x = head ({name} (t (t t) (spin x)) 2)']
+    return '\n'.join(out)+'\n'
+
+
+class Runner(ProbeRunner):
+    def run(self,label,args,seconds=30):
+        # Demand counterexamples must not stall the investigation.
+        if label.startswith('demand-'):
+            seconds = min(seconds,3)
+        return super().run(label,args,seconds)
+
+
+def graph_stats(bundle):
+    _,_,nodes,exports,_ = read(bundle)
+    rows = []
+    digests = []
+    for tag,*children in nodes:
+        digests.append(hashlib.sha256(bytes([tag])+b''.join(digests[c] for c in children)).digest())
+    for name in VARIANTS:
+        root = exports[name]
+        seen,todo = set(),[root]
+        while todo:
+            i = todo.pop()
+            if i not in seen:
+                seen.add(i)
+                todo.extend(nodes[i][1:])
+        rows.append(dict(name=name,reachable_dag_nodes=len(seen),tree_sha256=digests[root].hex()))
+    return rows
+
+
+def main():
+    p = argparse.ArgumentParser(description=__doc__)
+    p.add_argument('tricu',type=Path)
+    p.add_argument('--directory',required=True,type=Path)
+    p.add_argument('--size',type=int,default=8)
+    p.add_argument('--repeats',type=int,default=5)
+    p.add_argument('--seconds',type=int,default=1200)
+    args = p.parse_args()
+    if not 4 <= args.size <= 32 or not 3 <= args.repeats <= 10:
+        p.error('size 4..32; repeats 3..10')
+    root = args.directory.resolve()
+    root.mkdir(parents=True,exist_ok=False)
+    workspace = root/'workspace'
+    workspace.mkdir()
+    sources = {'driver.tri':ROOT/'bench/float-multiply.tri',
+               'pipelines.tri':ROOT/'bench/float-pipelines.tri',
+               'kernels.tri':ROOT/'bench/float-significands.tri',
+               'layouts.tri':ROOT/'bench/float-layouts.tri',
+               'native_math.tri':ROOT/'lib/math/native.tri'}
+    for name,path in sources.items():
+        (workspace/name).write_bytes(path.read_bytes())
+    with (workspace/'driver.tri').open('a') as f:
+        f.write(wrappers())
+    runner = Runner(args.tricu,root,args.seconds,memory_mib=2048)
+    report = dict(complete=False,scope='fresh-process-invoke-through-full-force',
+                  runtime_sha256=sha(args.tricu),harness_sha256=sha(Path(__file__)),
+                  oracle_dependency_sha256=sha(ROOT/'test/float_pipelines.py'),
+                  compiler_sha256=sha(ROOT/'bootstrap/build-stable.arboricx'),
+                  reducer_sha256=sha(ROOT/'src/Runtime/Tree.hs'),platform=platform.platform(),
+                  sources={name:sha(path) for name,path in sources.items()},
+                  staged_driver_sha256=sha(workspace/'driver.tri'),
+                  validation=[],demand=[],samples=[],summaries=[])
+    try:
+        tool = runner.imported(ROOT/'bootstrap/build-stable.arboricx','compiler')
+        bundle = root/'multiply.arboricx'
+        runner.run('compile',['compile','--file',workspace/'driver.tri','--toolchain',tool,
+            '--tool-store',runner.store,'--store',runner.store,'--output',bundle,'--compile-timeout','240'],270)
+        pin = runner.imported(bundle,'multiply')
+        report['bundle_sha256'] = sha(bundle)
+        report['compiled_shapes'] = graph_stats(bundle)
+
+        def run(label,name,raw,wanted,measure=False):
+            path = root/(label+'.input.tree')
+            path.write_bytes(raw)
+            actual = runner.invoke(label,pin,name,['--arg-tree-file',path]+
+                                   (['--profile-full-result'] if measure else []))
+            expect(actual,wanted,label)
+            if not measure:
+                report['validation'].append(dict(label=label,input_sha256=hashlib.sha256(raw).hexdigest(),
+                                                output_sha256=hashlib.sha256(actual).hexdigest()))
+                return
+            log = (root/(label+'.log')).read_text()
+            points = {v['profile']:v for line in log.splitlines() if line.startswith('{')
+                      for v in [json.loads(line)]}
+            before,after = points['invoke-begin-1'],points['force-end-1']
+            return dict(wall_ns=after['wall_ns']-before['wall_ns'],
+                        allocated_bytes=after['allocated_bytes']-before['allocated_bytes'],
+                        gc_elapsed_ns=after['gc_elapsed_ns']-before['gc_elapsed_ns'],
+                        post_force_live_bytes=after['live_bytes'],
+                        live_delta_bytes=after['live_bytes']-before['live_bytes'])
+
+        def material(rows,suffix):
+            raw = tree_list([pair(nat(a),nat(b)) for a,b in rows])
+            wanted = tree_list([nat(a*b) if suffix=='Exact' else encoded_result(finish(a*b),nat) for a,b in rows])
+            return raw,wanted
+
+        rng = random.Random(535326)
+        rows = [(a,b) for a in range(16) for b in range(16)]
+        for w in [26,27,52,53,54,106]:
+            rows += [(a,b) for a in [(1 << w)-1,1 << w,(1 << w)+1]
+                     for b in [0,1,2,(1 << w)-1]]
+        rows += [(rng.getrandbits(53),rng.getrandbits(53)) for _ in range(32)]
+        report['general_cases'] = len(rows)
+        for name in VARIANTS:
+            domain = [(a,b) for a,b in rows if name!='positive' or a>0]
+            for suffix in ['Exact','Rounded']:
+                for offset in range(0,len(domain),48):
+                    raw,wanted = material(domain[offset:offset+48],suffix)
+                    run(f'check-{name}{suffix}-{offset}',name+suffix,raw,wanted)
+        normalized = [(rng.getrandbits(52)+(1 << 52),rng.getrandbits(52)+(1 << 52)) for _ in range(64)]
+        normalized += [(a,b) for a in [1 << 52,(1 << 52)+1,(1 << 53)-1]
+                       for b in [1 << 52,(1 << 52)+1,(1 << 53)-1]]
+        report['normalized_cases'] = len(normalized)
+        for name in VARIANTS:
+            for offset in range(0,len(normalized),24):
+                raw,wanted = material(normalized[offset:offset+24],'Bounded')
+                run(f'check-{name}Bounded-{offset}',name+'Bounded',raw,wanted)
+        for name in VARIANTS:
+            for suffix,wanted in [('Zero',LEAF),('Low',TRUE),('ShiftLow',LEAF)]:
+                label = f'demand-{name}{suffix}'
+                try:
+                    run(label,name+suffix,LEAF,wanted)
+                    report['demand'].append(dict(name=name,probe=suffix,outcome='expected-result'))
+                except Exception as error:
+                    # A bounded failure is evidence of a demand difference, not
+                    # proof of divergence. Preserve the exact exception/log.
+                    report['demand'].append(dict(name=name,probe=suffix,outcome='failed',
+                                                 error_type=type(error).__name__,error=str(error)))
+        groups = {'random':normalized[:args.size],
+                  'dense':[((1 << 53)-1,(1 << 53)-1-(i%3)) for i in range(args.size)],
+                  'sparseRight':[(a,(1 << 52)+(i%2)) for i,(a,b) in enumerate(normalized[:args.size])],
+                  'sparseLeft':[((1 << 52)+(i%2),b) for i,(a,b) in enumerate(normalized[:args.size])]}
+        schedule = [(group,name+suffix,*material(values,suffix)) for group,values in groups.items()
+                    for name in VARIANTS for suffix in ['Exact','Rounded','Bounded']]
+        for repeat in range(args.repeats):
+            rng.shuffle(schedule)
+            for group,name,raw,wanted in schedule:
+                sample = run(f'{group}-{name}-{repeat}',name,raw,wanted,True)
+                report['samples'].append(dict(group=group,name=name,size=args.size,repeat=repeat,
+                                              warmup=repeat==0,**sample))
+        for group,name,_,_ in sorted(schedule):
+            samples = [v for v in report['samples'] if v['group']==group and v['name']==name and not v['warmup']]
+            row = dict(group=group,name=name,size=args.size)
+            for key in ['wall_ns','allocated_bytes','gc_elapsed_ns','post_force_live_bytes','live_delta_bytes']:
+                row[key] = statistics.median(v[key] for v in samples)
+                row[key+'_min'] = min(v[key] for v in samples)
+                row[key+'_max'] = max(v[key] for v in samples)
+            report['summaries'].append(row)
+            print(json.dumps(row),flush=True)
+        report['complete'] = True
+    finally:
+        (root/'report.json').write_text(json.dumps(report,indent=2)+'\n')
+
+
+if __name__ == '__main__':
+    main()
diff --git a/test/float_pipelines.py b/test/float_pipelines.py
@@ -0,0 +1,222 @@
+#!/usr/bin/env python3
+"""Blocked significands and bounded exact arithmetic followed by 53-bit RNE."""
+import argparse
+import hashlib
+import json
+import platform
+import random
+import statistics
+from pathlib import Path
+
+from collections_batch import ProbeRunner
+from base_workloads import encode as nat
+from http_headers import LEAF, TRUE, pair, tree_list, expect
+from float_significands import rounded, shifted, validation_cases
+
+ROOT = Path(__file__).resolve().parent.parent
+
+
+def sha(path):
+    return hashlib.sha256(path.read_bytes()).hexdigest()
+
+
+def limbs(n):
+    out = []
+    while n:
+        out.append(nat(n & 255))
+        n >>= 8
+    return tree_list(out)
+
+
+def finish(n):
+    cut = max(0,n.bit_length()-53)
+    m,flag = rounded(n,cut)
+    if m.bit_length() > 53:
+        m >>= 1
+        cut += 1
+    return cut,m,flag
+
+
+def operation(name,a,b,gap=0):
+    if name == 'Chain':
+        total,flag = 0,False
+        for _ in range(3):
+            cut,a,f = finish(a*b)
+            total += cut
+            flag |= f
+        return total,a,flag
+    if name in ['Add','AlignedAdd']:
+        n = (a << gap)+b
+    elif name in ['Subtract','AlignedSubtract']:
+        n = (a << gap)-b
+        assert n >= 0
+    else:
+        n = a*b
+    return finish(n)
+
+
+def encoded_result(result, encode):
+    cut,m,flag = result
+    return pair(nat(cut),pair(encode(m),TRUE if flag else LEAF))
+
+
+def job(rows,layout,op):
+    encode = nat if layout == 'lsb' else limbs
+    raw = []
+    wanted = []
+    for a,b,gap in rows:
+        argument = pair(encode(a),encode(b))
+        if op.startswith('Aligned'):
+            argument = pair(nat(gap),argument)
+        raw.append(argument)
+        wanted.append(encoded_result(operation(op,a,b,gap),encode))
+    return tree_list(raw),tree_list(wanted)
+
+
+def main():
+    p = argparse.ArgumentParser(description=__doc__)
+    p.add_argument('tricu',type=Path)
+    p.add_argument('--directory',required=True,type=Path)
+    p.add_argument('--size',type=int,default=16)
+    p.add_argument('--repeats',type=int,default=5)
+    p.add_argument('--seconds',type=int,default=1200)
+    args = p.parse_args()
+    if not 4 <= args.size <= 64 or not 3 <= args.repeats <= 10:
+        p.error('size 4..64; repeats 3..10')
+    root = args.directory.resolve()
+    root.mkdir(parents=True,exist_ok=False)
+    workspace = root/'workspace'
+    workspace.mkdir()
+    sources = {'driver.tri':ROOT/'bench/float-pipelines.tri',
+               'kernels.tri':ROOT/'bench/float-significands.tri',
+               'layouts.tri':ROOT/'bench/float-layouts.tri',
+               'native_math.tri':ROOT/'lib/math/native.tri'}
+    for name,path in sources.items():
+        (workspace/name).write_bytes(path.read_bytes())
+    runner = ProbeRunner(args.tricu,root,args.seconds,memory_mib=2048)
+    report = dict(complete=False,scope='fresh-process-invoke-through-full-force',
+                  runtime_sha256=sha(args.tricu),harness_sha256=sha(Path(__file__)),
+                  oracle_dependency_sha256=sha(ROOT/'test/float_significands.py'),
+                  compiler_sha256=sha(ROOT/'bootstrap/build-stable.arboricx'),platform=platform.platform(),
+                  sources={name:sha(path) for name,path in sources.items()},validation=[],samples=[],summaries=[])
+    try:
+        tool = runner.imported(ROOT/'bootstrap/build-stable.arboricx','compiler')
+        bundle = root/'pipelines.arboricx'
+        runner.run('compile',['compile','--file',workspace/'driver.tri','--toolchain',tool,
+            '--tool-store',runner.store,'--store',runner.store,'--output',bundle,'--compile-timeout','240'],270)
+        pin = runner.imported(bundle,'pipelines')
+        report['bundle_sha256'] = sha(bundle)
+
+        def run(label,name,raw,wanted,measure=False):
+            path = root/(label+'.input.tree')
+            path.write_bytes(raw)
+            actual = runner.invoke(label,pin,name,['--arg-tree-file',path]+
+                                   (['--profile-full-result'] if measure else []))
+            expect(actual,wanted,label)
+            if not measure:
+                report['validation'].append(dict(label=label,input_sha256=hashlib.sha256(raw).hexdigest(),
+                                                output_sha256=hashlib.sha256(actual).hexdigest()))
+                return
+            log = (root/(label+'.log')).read_text()
+            points = {v['profile']:v for line in log.splitlines() if line.startswith('{')
+                      for v in [json.loads(line)]}
+            before,after = points['invoke-begin-1'],points['force-end-1']
+            return dict(wall_ns=after['wall_ns']-before['wall_ns'],
+                        allocated_bytes=after['allocated_bytes']-before['allocated_bytes'])
+
+        cases = validation_cases()
+        report['shift_round_cases'] = len(cases)
+        for offset in range(0,len(cases),96):
+            rows = cases[offset:offset+96]
+            raw = tree_list([pair(nat(k),limbs(n)) for n,k in rows])
+            for op,oracle in [('Shift',shifted),('Round',rounded)]:
+                wanted = tree_list([pair(limbs(q),TRUE if f else LEAF)
+                                    for q,f in [oracle(n,k) for n,k in rows]])
+                run(f'check-limb{op}-{offset}','limb'+op,raw,wanted)
+        rng = random.Random(25653)
+        special = [0,1,2,127,128,254,255,256,257,65535,65536,(1 << 52)-1,
+                   1 << 52,(1 << 53)-1,(1 << 53)-2]
+        pairs = [(max(a,b),min(a,b),0) for a in special for b in special]
+        pairs += [(max(a,b),min(a,b),0) for a,b in
+                  [(rng.getrandbits(53),rng.getrandbits(53)) for _ in range(32)]]
+        report['arithmetic_cases'] = len(pairs)
+        for op in ['Add','Subtract','Multiply','Chain']:
+            for layout in ['lsb','limb']:
+                for offset in range(0,len(pairs),24):
+                    raw,wanted = job(pairs[offset:offset+24],layout,op)
+                    run(f'check-{layout}{op}-{offset}',layout+op,raw,wanted)
+        aligned = [(a,b,k) for a,b,_ in pairs[::8] for k in [0,1,7,8,52,53,54]]
+        aligned += [((1 << 53)-1,1,1),((1 << 53)-1,0,1),((1 << 53)-1,2,1)]
+        report['alignment_cases'] = len(aligned)
+        for op in ['AlignedAdd','AlignedSubtract']:
+            for layout in ['lsb','limb']:
+                for offset in range(0,len(aligned),24):
+                    raw,wanted = job(aligned[offset:offset+24],layout,op)
+                    run(f'check-{layout}{op}-{offset}',layout+op,raw,wanted)
+        # Exercise the final carry-renormalization path directly, including
+        # below/tie/above cases near the next power of two.
+        boundaries = [0,1] + [n for w in [54,55,105,106]
+                              for n in [(1 << w)-1,(1 << w)-(1 << (w-54)),
+                                        (1 << w)-(1 << (w-54))-1,1 << w]]
+        for i,n in enumerate(boundaries):
+            for name,encode in [('finishL',nat),('finishB',limbs)]:
+                run(f'check-finish-{name}-{i}',name,encode(n),encoded_result(finish(n),encode))
+        report['finish_boundary_cases'] = len(boundaries)
+        values = special+[rng.getrandbits(106) for _ in range(16)]
+        run('check-convert-in','naturalToLimb',nat(values),tree_list([limbs(v) for v in values]))
+        run('check-convert-out','limbToNatural',tree_list([limbs(v) for v in values]),nat(values))
+        run('check-widths','limbWidths',tree_list([limbs(v) for v in values]),nat([v.bit_length() for v in values]))
+
+        groups = {}
+        groups['random'] = [(a,b,0) for a,b in [sorted([rng.getrandbits(52)+(1 << 52),
+                                                       rng.getrandbits(52)+(1 << 52)],reverse=True)
+                                                for _ in range(args.size)]]
+        groups['carry'] = [((1 << 53)-1,(1 << 53)-1-(i%3),0) for i in range(args.size)]
+        groups['cancel'] = [(a,a-(i%4),0) for i,(a,_,_) in enumerate(groups['random'])]
+        schedule = []
+        for group,rows in groups.items():
+            for op in ['Add','Subtract','Multiply','Chain']:
+                for layout in ['lsb','limb']:
+                    raw,wanted = job(rows,layout,op)
+                    schedule.append((group,layout+op,raw,wanted))
+        for group,gaps in [('near',[0,1,2,7]),('wide',[8,52,53,54])]:
+            rows = [(a,b,gaps[i%len(gaps)]) for i,(a,b,_) in enumerate(groups['random'])]
+            for op in ['AlignedAdd','AlignedSubtract']:
+                for layout in ['lsb','limb']:
+                    raw,wanted = job(rows,layout,op)
+                    schedule.append((group,layout+op,raw,wanted))
+        for width in [53,106]:
+            values = [rng.getrandbits(width-1)+(1 << (width-1)) for _ in range(args.size)]
+            for group,counts in [('small',[1,2,3,7]),('byte',[8,16,24,32]),
+                                 ('boundary',[width-1,width,width+1]),('far',[2046,1 << 128])]:
+                rows = [(n,counts[i%len(counts)]) for i,n in enumerate(values)]
+                for layout,encode in [('lsb',nat),('limb',limbs)]:
+                    raw = tree_list([pair(nat(k),encode(n)) for n,k in rows])
+                    wanted = tree_list([pair(encode(q),TRUE if f else LEAF) for q,f in [rounded(n,k) for n,k in rows]])
+                    name = layout+'Round'
+                    schedule.append((f'{width}-{group}',name,raw,wanted))
+            schedule += [(str(width),'naturalToLimb',nat(values),tree_list([limbs(v) for v in values])),
+                         (str(width),'limbToNatural',tree_list([limbs(v) for v in values]),nat(values))]
+        rng.shuffle(schedule)
+        for repeat in range(args.repeats):
+            rng.shuffle(schedule)
+            for group,name,raw,wanted in schedule:
+                sample = run(f'{group}-{name}-{repeat}',name,raw,wanted,True)
+                report['samples'].append(dict(group=group,name=name,size=args.size,repeat=repeat,
+                                              warmup=repeat==0,**sample))
+        for group,name,_,_ in sorted(schedule):
+            samples = [v for v in report['samples'] if v['group']==group and v['name']==name and not v['warmup']]
+            row = dict(group=group,name=name,size=args.size)
+            for key in ['wall_ns','allocated_bytes']:
+                row[key] = statistics.median(v[key] for v in samples)
+                row[key+'_min'] = min(v[key] for v in samples)
+                row[key+'_max'] = max(v[key] for v in samples)
+            report['summaries'].append(row)
+            print(json.dumps(row),flush=True)
+        report['complete'] = True
+    finally:
+        (root/'report.json').write_text(json.dumps(report,indent=2)+'\n')
+
+
+if __name__ == '__main__':
+    main()
diff --git a/test/float_pipelines_oracle_test.py b/test/float_pipelines_oracle_test.py
@@ -0,0 +1,44 @@
+#!/usr/bin/env python3
+"""Independent binary64 checks of the finite, positive pipeline oracle."""
+import math
+import random
+import sys
+import unittest
+
+from float_pipelines import finish, operation
+
+
+@unittest.skipUnless(sys.float_info.radix == 2 and sys.float_info.mant_dig == 53,
+                     'requires a binary64 Python host for this independent check')
+class PipelineOracleTests(unittest.TestCase):
+    def test_integer_conversion_and_inexact(self):
+        rng = random.Random(105106)
+        values = [0,1]
+        for width in range(1,161):
+            values += [(1 << width)-1,1 << width,(1 << width)+1,rng.getrandbits(width)]
+        for n in values:
+            shift,m,inexact = finish(n)
+            self.assertLessEqual(m.bit_length(),53)
+            self.assertEqual(m << shift,int(float(n)))
+            self.assertEqual(inexact,n != (m << shift))
+
+    def test_normalized_product_chains(self):
+        rng = random.Random(5353)
+        for _ in range(256):
+            a,b = [rng.getrandbits(52)+(1 << 52) for _ in range(2)]
+            shift,m,_ = operation('Multiply',a,b)
+            self.assertEqual(math.ldexp(float(m),shift),float(a)*float(b))
+            shift,m,_ = operation('Chain',a,b)
+            reference = float(a)
+            for _ in range(3):
+                reference *= float(b)
+            self.assertEqual(math.ldexp(float(m),shift),reference)
+
+    def test_rounding_carry(self):
+        shift,m,inexact = finish((1 << 54)-1)
+        self.assertEqual((shift,m,inexact),(2,1 << 52,True))
+        self.assertEqual(finish(1 << 54),(2,1 << 52,False))
+
+
+if __name__ == '__main__':
+    unittest.main()
diff --git a/test/float_significands.py b/test/float_significands.py
@@ -0,0 +1,209 @@
+#!/usr/bin/env python3
+"""Exact-integer-checked significand kernels; isolated, opt-in benchmark."""
+import argparse
+import hashlib
+import json
+import platform
+import random
+import statistics
+from pathlib import Path
+
+from collections_batch import ProbeRunner
+from base_workloads import encode as nat
+from http_headers import LEAF, TRUE, pair, tree_list, expect
+
+ROOT = Path(__file__).resolve().parent.parent
+
+
+def sha(path):
+    return hashlib.sha256(path.read_bytes()).hexdigest()
+
+
+def msb(n):
+    return tree_list([TRUE if b == '1' else LEAF for b in bin(n)[2:]]) if n else LEAF
+
+
+def rounded(n, k):
+    # Bounded even for enormous shifts: no construction of 2**k when k > width.
+    if k > n.bit_length():
+        return 0, bool(n)
+    q, rem = divmod(n, 1 << k)
+    twice = rem * 2
+    return q + (twice > (1 << k) or (twice == (1 << k) and bool(q & 1))), bool(rem)
+
+
+def shifted(n, k):
+    q = n >> k if k <= n.bit_length() else 0
+    return q, n != (q << k) if q else bool(n)
+
+
+def chained(n, k):
+    for _ in range(3):
+        n = rounded(n, k)[0]
+    return n
+
+
+def validation_cases():
+    rows = [(n,k) for n in range(64) for k in range(10)]
+    for w in [1, 2, 8, 24, 53, 54, 106]:
+        for n in [1 << (w-1), (1 << w)-1, (1 << (w-1))+1]:
+            rows += [(n,k) for k in [0,1,2,w-1,w,w+1,2046,1 << 128]]
+    # Explicit below/tie/above cases, even and odd retained quotients, carry growth.
+    for q in [0,1,2,3,6,7,(1 << 52)-1,(1 << 53)-1]:
+        for k in [1,2,7,53]:
+            rows += [((q << k)+(1 << (k-1))+delta,k) for delta in [-1,0,1]]
+    return list(dict.fromkeys(rows))
+
+
+def timed_cases(size, width, seed):
+    rng = random.Random(seed)
+    counts = [0,1,2,3,7,8,13,width-1,width,width+1,2046,1 << 128]
+    return [(rng.getrandbits(width) | (1 << (width-1)), counts[i % len(counts)])
+            for i in range(size)]
+
+
+# (export, input representation, result kind)
+JOBS = [('lsbShift','lsb','shift'), ('lsbRound','lsb','round'),
+        ('lsbCachedShift','cachedL','shift'), ('lsbCachedRound','cachedL','round'),
+        ('lsbBuildCachedRound','lsb','round'),
+        ('msbShift','msb','shift'), ('msbRound','msb','round'),
+        ('msbCachedShift','cached','shift'), ('msbCachedRound','cached','round'),
+        ('msbBuildCachedShift','msb','shift'), ('msbBuildCachedRound','msb','round'),
+        ('msbMaintainedRound','cached','maintained'),
+        ('lsbChain','lsb','chain'), ('msbChain','msb','chain'),
+        ('msbCachedChain','cached','chain'), ('msbMaintainedChain','cached','chain'),
+        ('lsbNormalize','lsb','normalize'), ('msbNormalize','msb','normalize')]
+
+
+def encode_input(rows, layout):
+    def value(n):
+        if layout == 'lsb':
+            return nat(n)
+        bits = nat(n) if layout == 'cachedL' else msb(n)
+        return pair(nat(n.bit_length()), bits) if layout in ['cached','cachedL'] else bits
+    return tree_list([pair(nat(k), value(n)) for n,k in rows])
+
+
+def expected(rows, layout, kind):
+    encode = nat if layout in ['lsb','cachedL'] else msb
+    values = []
+    for n,k in rows:
+        if kind == 'normalize':
+            zeros = (n & -n).bit_length()-1 if n else 0
+            values.append(pair(nat(zeros),encode(n >> zeros)))
+            continue
+        if kind == 'chain':
+            values.append(encode(chained(n,k)))
+            continue
+        q, sticky = shifted(n,k) if kind == 'shift' else rounded(n,k)
+        value = encode(q)
+        if kind == 'maintained':
+            value = pair(nat(q.bit_length()), value)
+        values.append(pair(value, TRUE if sticky else LEAF))
+    return tree_list(values)
+
+
+def main():
+    p = argparse.ArgumentParser(description=__doc__)
+    p.add_argument('tricu', type=Path)
+    p.add_argument('--directory', required=True, type=Path)
+    p.add_argument('--size', type=int, default=96)
+    p.add_argument('--repeats', type=int, default=5)
+    p.add_argument('--seconds', type=int, default=900)
+    args = p.parse_args()
+    if not 12 <= args.size <= 1024 or not 3 <= args.repeats <= 10:
+        p.error('size must be 12..1024; repeats 3..10')
+    root = args.directory.resolve()
+    root.mkdir(parents=True, exist_ok=False)
+    workspace = root/'workspace'
+    workspace.mkdir()
+    sources = {'driver.tri': ROOT/'bench/float-significands.tri',
+               'native_math.tri': ROOT/'lib/math/native.tri'}
+    for name,path in sources.items():
+        (workspace/name).write_bytes(path.read_bytes())
+    runner = ProbeRunner(args.tricu, root, args.seconds, memory_mib=2048)
+    report = dict(complete=False, scope='fresh-process-invoke-through-full-force',
+                  runtime_sha256=sha(args.tricu), harness_sha256=sha(Path(__file__)),
+                  compiler_sha256=sha(ROOT/'bootstrap/build-stable.arboricx'),
+                  platform=platform.platform(), sources={k:sha(v) for k,v in sources.items()},
+                  samples=[], summaries=[], validation=[])
+    try:
+        tool = runner.imported(ROOT/'bootstrap/build-stable.arboricx', 'compiler')
+        bundle = root/'significands.arboricx'
+        runner.run('compile', ['compile','--file',workspace/'driver.tri',
+            '--toolchain',tool,'--tool-store',runner.store,'--store',runner.store,
+            '--output',bundle,'--compile-timeout','240'], 270)
+        pin = runner.imported(bundle, 'significands')
+        report['bundle_sha256'] = sha(bundle)
+
+        def run(label, name, raw, wanted, measure=False):
+            path = root/(label+'.input.tree')
+            path.write_bytes(raw)
+            argv = ['--arg-tree-file',path] + (['--profile-full-result'] if measure else [])
+            actual = runner.invoke(label,pin,name,argv)
+            expect(actual,wanted,label)
+            if not measure:
+                report['validation'].append(dict(label=label,input_sha256=hashlib.sha256(raw).hexdigest(),
+                                                output_sha256=hashlib.sha256(actual).hexdigest()))
+                return
+            log = (root/(label+'.log')).read_text()
+            samples = {v['profile']:v for line in log.splitlines() if line.startswith('{')
+                       for v in [json.loads(line)]}
+            before, after = samples['invoke-begin-1'], samples['force-end-1']
+            return dict(wall_ns=after['wall_ns']-before['wall_ns'],
+                        allocated_bytes=after['allocated_bytes']-before['allocated_bytes'])
+
+        rows = validation_cases()
+        report['validation_case_count'] = len(rows)
+        for name,layout,kind in JOBS:
+            run('check-'+name,name,encode_input(rows,layout),expected(rows,layout,kind))
+        for name in ['zeroShiftDemand','zeroRoundDemand','zeroMsbDemand']:
+            run(name,name,LEAF,LEAF)
+        for name in ['hugeShift','hugeRound']:
+            run(name,name,nat(1 << 128),pair(LEAF,TRUE))
+
+        schedule = []
+        for width in [53,106]:
+            rows = timed_cases(args.size,width,640000+width)
+            for name,layout,kind in JOBS:
+                schedule.append((width,'mixed',name,encode_input(rows,layout),expected(rows,layout,kind)))
+            numbers = [n for n,k in rows]
+            schedule += [(width,'mixed','lsbToMsb',tree_list([nat(n) for n in numbers]),tree_list([msb(n) for n in numbers])),
+                         (width,'mixed','msbToLsb',tree_list([msb(n) for n in numbers]),tree_list([nat(n) for n in numbers])),
+                         (width,'mixed','widths',tree_list([nat(n) for n in numbers]),nat([width]*len(numbers)))]
+            selected = {'lsbRound','lsbCachedRound','msbRound','msbCachedRound','msbMaintainedRound'}
+            for group,counts in [('small',[1,2,3,7]),('boundary',[width-1,width,width+1]),('far',[2046,1 << 128])]:
+                grouped = [(n,counts[i % len(counts)]) for i,(n,_) in enumerate(rows)]
+                for name,layout,kind in JOBS:
+                    if name in selected:
+                        schedule.append((width,group,name,encode_input(grouped,layout),expected(grouped,layout,kind)))
+            for group in ['smallCarry','boundarySparse']:
+                counts = [1,2,3,7] if group == 'smallCarry' else [width-1,width,width+1]
+                special = [((1 << width)-1 if group == 'smallCarry' else (1 << (width-1))+(i % 2),
+                            counts[i % len(counts)]) for i in range(args.size)]
+                for name,layout,kind in JOBS:
+                    if name in selected or kind == 'normalize':
+                        schedule.append((width,group,name,encode_input(special,layout),expected(special,layout,kind)))
+        rng = random.Random(2653)
+        for repeat in range(args.repeats):
+            rng.shuffle(schedule)
+            for width,group,name,raw,wanted in schedule:
+                sample = run(f'{name}-{width}-{group}-{repeat}',name,raw,wanted,True)
+                report['samples'].append(dict(name=name,width=width,group=group,size=args.size,repeat=repeat,
+                                              warmup=repeat==0,**sample))
+        for width,group,name,_,_ in sorted(schedule):
+            samples = [r for r in report['samples'] if r['name']==name and r['width']==width and r['group']==group and not r['warmup']]
+            row = dict(name=name,width=width,group=group,size=args.size)
+            for key in ['wall_ns','allocated_bytes']:
+                row[key] = statistics.median(r[key] for r in samples)
+                row[key+'_min'] = min(r[key] for r in samples)
+                row[key+'_max'] = max(r[key] for r in samples)
+            report['summaries'].append(row)
+            print(json.dumps(row),flush=True)
+        report['complete'] = True
+    finally:
+        (root/'report.json').write_text(json.dumps(report,indent=2)+'\n')
+
+
+if __name__ == '__main__':
+    main()
diff --git a/test/float_significands_oracle_test.py b/test/float_significands_oracle_test.py
@@ -0,0 +1,32 @@
+#!/usr/bin/env python3
+"""Cross-check the benchmark oracle independently; no tricu host required."""
+from fractions import Fraction
+import unittest
+
+from float_significands import rounded, shifted, chained
+
+
+class OracleTests(unittest.TestCase):
+    def test_exhaustive_small_distance_and_parity(self):
+        for n in range(256):
+            for k in range(10):
+                exact = Fraction(n, 2**k)
+                nearest = min(range(n//(2**k)+2),
+                              key=lambda q: (abs(q-exact), q % 2))
+                self.assertEqual(rounded(n,k), (nearest,exact.denominator != 1))
+                self.assertEqual(shifted(n,k), (n//2**k,bool(n % 2**k)))
+
+    def test_huge_counts_and_zero(self):
+        for operation in [rounded,shifted]:
+            self.assertEqual(operation(1,1 << 128), (0,True))
+            self.assertEqual(operation(0,1 << 128), (0,False))
+            self.assertEqual(operation(7,0), (7,False))
+
+    def test_chain_is_not_single_rounding(self):
+        # Deliberately preserve operation-by-operation rounding in the workload.
+        self.assertEqual(chained(5,1), 0)
+        self.assertEqual(rounded(5,3)[0], 1)
+
+
+if __name__ == '__main__':
+    unittest.main()
diff --git a/test/stable_abstraction.py b/test/stable_abstraction.py
@@ -26,11 +26,15 @@ def main():
     parser.add_argument('--case-group', choices=['core', 'sequences'],
                         help='bounded shards; both groups cover the full corpus')
     parser.add_argument('--generation', type=Path, help='exercise self-built stable exports, with artifact-only wrapper preparation')
+    parser.add_argument('--unit-compiler-bundle', type=Path,
+                        help='explicit compileStableModuleDefinitions worker with --generation artifact layout; no fallback')
     parser.add_argument('--timeout', type=float, default=120)
     parser.add_argument('--memory-mib', type=int, default=8192)
     parser.add_argument('--wall-seconds', type=float, default=1500)
     parser.add_argument('--divergence-seconds', type=float, default=3)
     args = parser.parse_args()
+    if args.unit_compiler_bundle and not args.generation:
+        parser.error('--unit-compiler-bundle requires --generation artifact layout')
     if not 0 < args.memory_mib <= 65536 or not 0 < args.wall_seconds <= 7200:
         parser.error("resource guards exceed supported bounds")
     tricu = str(args.tricu.resolve())
@@ -114,12 +118,15 @@ def main():
     if args.generation:
         generation = args.generation.resolve()
         tool_pin, _ = imported(generation / 'build-stable.arboricx', root / 'tools', True)
-        cas = generation / 'cas'
-        manifest = (cas / 'cache/source-build/source_unit').read_text().split('\t')[2]
-        exports = {r.split('\t')[1]: r.split('\t')[3] for r in
-                   (cas / 'objects' / manifest[:3] / manifest).read_text().splitlines()[1:]}
-        run(['arboricx', 'export', '--store', cas, '--target', exports['compileStableModuleDefinitions'],
-             '--name', 'compileStableModuleDefinitions', '--output', compiler], 300)
+        if args.unit_compiler_bundle:
+            compiler.write_bytes(args.unit_compiler_bundle.read_bytes())
+        else:
+            cas = generation / 'cas'
+            manifest = (cas / 'cache/source-build/source_unit').read_text().split('\t')[2]
+            exports = {r.split('\t')[1]: r.split('\t')[3] for r in
+                       (cas / 'objects' / manifest[:3] / manifest).read_text().splitlines()[1:]}
+            run(['arboricx', 'export', '--store', cas, '--target', exports['compileStableModuleDefinitions'],
+                 '--name', 'compileStableModuleDefinitions', '--output', compiler], 300)
         fingerprint.update(compiler.read_bytes())
         reuse = stamp.exists() and stamp.read_text() == fingerprint.hexdigest()
     elif not reuse or not compiler.exists():
diff --git a/test/stable_constructor_k.py b/test/stable_constructor_k.py
@@ -2,8 +2,8 @@
 """Opt-in current-source constructor-K check; never publishes compiler artifacts.
 
 The selected host must contain the authenticated packaged compiler. Unchanged
-fixture dependencies are source-verified; only source_stable and source_unit
-are rebuilt. Probe-only exports expose internal summaries to an independent
+fixture dependencies are source-verified; source_stable, source_unit and the
+binding-pass dependencies are rebuilt. Probe-only exports expose internal summaries to an independent
 finite oracle without making them part of the production interface.
 """
 import argparse
@@ -42,7 +42,8 @@ def main():
     for row in (ROOT / 'bootstrap/compiler-source-map.v1').read_text().splitlines()[1:]:
         _, alias, _, path, deps = row.split('\t')
         entries[alias] = (path, [] if deps == '-' else deps.split(','))
-    affected = {'source_stable', 'source_unit'}
+    affected = {'source_stable', 'source_unit', 'source_binding',
+                'source_binding_analysis', 'source_binding_support'}
     needed = set()
 
     def visit(alias):