{
  "schema": 1,
  "date": "2026-09-08",
  "title": "Selected-radial affine signs through the existing recursive kernel",
  "priority_order": [
    "exactness",
    "completeness",
    "performance",
    "memory",
    "binary size",
    "code size"
  ],
  "decision": "Retain the shared-kernel consolidation: the affine median falls 63.65 to 3.14 seconds (-95.07%) with 96.35% fewer allocations and smaller production/native/WASM code. Preserve the tangent cost (0.33 to 0.57 seconds, +72.73%) and all other recorded costs; this is not a uniform speedup. Exact geometry and policy checks remain intact. No compatibility interface, new API, cache, field, or representation is introduced. The separate opaque-tangency construction failure remains open.",
  "revisions": [
    {
      "repository": "hyperreal",
      "revision": "da26e961bf76adf13829d8a26ced6cdaacb6b564"
    },
    {
      "repository": "hyperlimit",
      "revision": "dd79d4770a3dfa1e0cfc0e1f0da19d15bd1ef9e5"
    },
    {
      "repository": "hyperlattice",
      "revision": "53427ce89f8c82c016e69a04e035787e2753adc8"
    },
    {
      "repository": "hypertri",
      "revision": "6a2092c066964f3b7528299a72ef0ed1af4b1ff0"
    },
    {
      "repository": "hypersolve",
      "revision": "42f2bdb87e5f9905b95e4f95d4e5e1abdb65586e"
    },
    {
      "repository": "hypercurve",
      "revision": "a3c1bb4582efbe337f37ef3e2c878787edf861d4"
    },
    {
      "repository": "hypermesh",
      "revision": "d9db5c45a0cecc2307aa66a6f7f1b0396350e4ee"
    }
  ],
  "hypercurve_candidate": "74ceac36216c59da100002824a9fa2d7ae6a2eba",
  "environment": {
    "rustc": "rustc 1.97.0 (2d8144b78 2026-07-07)\nbinary: rustc\ncommit-hash: 2d8144b7880597b6e6d3dfd63a9a9efae3f533d3\ncommit-date: 2026-07-07\nhost: x86_64-unknown-linux-gnu\nrelease: 1.97.0\nLLVM version: 22.1.6",
    "cargo": "cargo 1.97.0 (c980f4866 2026-06-30)",
    "kernel": "Linux 7.1.8-100.fc43.x86_64",
    "cpu_metadata": "cpu.json",
    "unit_features": "all",
    "native_features": "empty defaults",
    "ui_features": "UI defaults",
    "source_paths": "One fixed snapshot path for both revisions"
  },
  "source": {
    "file": "hypercurve/src/bezier_offset.rs",
    "baseline_source_sha256": "2145b159286af4ad3daa1c2322495987e7d774aa3fe1ed7bae9cf3564a2a14f2",
    "original_regression_source_sha256": "2c61a0ebedc78da1e8f742d221ef2d273df5f58e0bcb8da0e02081809798da7e",
    "candidate_source_sha256": "21c319102e4a5c75ffda907b0edad677c238b0fea70780271f16592826e5df4f",
    "original_production_sha256": "15dd0afbe7501fa5d241426bb102aa93c088066e975e0503c7c399d3a76e6478",
    "candidate_production_sha256": "054a84eb6c59830f34379e3c940284b8f89ad78ba09610e74fd3b4edd47dc3a3",
    "test_module_sha256": "fa056eedfea231e05a7094b3535c5174ae4af30059302aec0eec97fc98372c99",
    "matched_test_modules": true,
    "matched_catalogs": true,
    "catalog_sha256": "d83a0b04538dc56c1c3fe40bae603b27503138c696a53035a3beedc9521b81a1",
    "unchanged_geometry_workloads": [
      "pair_radial_circle_intersects_independent_field_chord_exactly",
      "selected_fiber_genuinely_analytic_contacts_complete_region_booleans",
      "recursive_selected_radial_diameter_chord_intersects_a_rational_quadratic_strict",
      "recursively_pair_radial_circle_intersects_a_genuine_analytic_parallel",
      "selected_parallel_normal_circle_retains_general_rational_contacts_in_one_fiber",
      "mapped_overlap_retains_distinct_selected_inverse_keys_and_rebuilds_expired_values"
    ],
    "production_lines": {
      "baseline": 129335,
      "candidate": 129322,
      "delta": -13
    },
    "test_lines_delta": 18,
    "source_lines_delta": 5,
    "diagnosis": "Stage timers isolate nearly all of the 63.61-second four-field regression cost to affine signs, not transformed bounds. The old selected-radial branch builds unreduced quadrivariate norm expressions for each query. Share the existing recursive-contact point/center frame and reduced-field affine evaluator with recursive line contacts, and delete the duplicate branch.",
    "invariants": "For strictly positive projective denominators Dp and Dc, the signed numerator is (a.Np+offset*Dp)*Dc+(b.Nc)*Dp. Zero center coefficients omit the second denominator product. Existing imports retain selected roots, shared field identity, positive denominators, branch validation, and requested-policy sign semantics. No Cartesian sampling or approximate terminal is introduced.",
    "api": "Unchanged; no new production function, scalar facade, compatibility path, representation, object field or cache."
  },
  "regressions": {
    "original": [
      {
        "name": "pair_radial_circle_retains_independent_field_chord_tangency",
        "exit": 0
      },
      {
        "name": "pair_radial_circle_intersects_independent_field_chord_exactly",
        "exit": 0
      },
      {
        "name": "retained_chord_coordinate_and_linear_queries_observe_requested_policy",
        "exit": 0
      },
      {
        "name": "retained_chord_derived_queries_match_exact_affine_oracles_and_requested_policy",
        "exit": 0
      },
      {
        "name": "recursive_chord_unrotated_derived_linear_and_equality_queries_are_complete",
        "exit": 0
      },
      {
        "name": "retained_chord_fallback_affine_queries_match_certified_bounds",
        "exit": 0
      },
      {
        "name": "algebraic_cusp_semicircle_intersects_finite_axis_chords_exactly",
        "exit": 0
      },
      {
        "name": "algebraic_cusp_semicircle_intersects_independent_field_oblique_chords_exactly",
        "exit": 0
      },
      {
        "name": "dense_chord_normal_independent_anchor_uses_rank_independent_fallback",
        "exit": 0
      }
    ],
    "candidate": [
      {
        "name": "pair_radial_circle_retains_independent_field_chord_tangency",
        "exit": 0
      },
      {
        "name": "pair_radial_circle_intersects_independent_field_chord_exactly",
        "exit": 0
      },
      {
        "name": "retained_chord_coordinate_and_linear_queries_observe_requested_policy",
        "exit": 0
      },
      {
        "name": "retained_chord_derived_queries_match_exact_affine_oracles_and_requested_policy",
        "exit": 0
      },
      {
        "name": "recursive_chord_unrotated_derived_linear_and_equality_queries_are_complete",
        "exit": 0
      },
      {
        "name": "retained_chord_fallback_affine_queries_match_certified_bounds",
        "exit": 0
      },
      {
        "name": "algebraic_cusp_semicircle_intersects_finite_axis_chords_exactly",
        "exit": 0
      },
      {
        "name": "algebraic_cusp_semicircle_intersects_independent_field_oblique_chords_exactly",
        "exit": 0
      },
      {
        "name": "dense_chord_normal_independent_anchor_uses_rank_independent_fallback",
        "exit": 0
      }
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    "carrier_families": [
      "axis",
      "chord-normal-projective",
      "oblique",
      "recursive-quadratic-line",
      "represented-oblique",
      "retained-offset",
      "selected-radial"
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    "catalog": "920 tests, 0 benchmarks",
    "assertions": "Six unchanged interval-derived affine brackets across seven retained carrier families. The existing selected-radial tangent test additionally verifies retained-map identity and opaque-zero coordinate queries under STRICT, APPROXIMATE_512 and forced-strict replay, repeated in both chord orientations. Original and candidate both complete all strengthened tests.",
    "timeouts": "Focused invocations use a 120-second diagnostic limit; all observed exits are zero."
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        {
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          "iterations": 20000,
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        {
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        {
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        {
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          "iterations": 20000,
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}
