{
  "schema": 1,
  "date": "2026-09-06",
  "title": "Certified contact replay and rational circle tangent orientation",
  "decision": "retain the policy and tangent exactness fixes with duplicate contact construction removed; release readiness remains open",
  "priority_order": [
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    "binary size",
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    "hyperlimit": "dd79d4770a3dfa1e0cfc0e1f0da19d15bd1ef9e5",
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    "hypersolve": "42f2bdb87e5f9905b95e4f95d4e5e1abdb65586e",
    "hypercurve_baseline": "e44cfbdd81051a6946d80323abd2c7c2e03ae833"
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    "sha256": "aec90653e7ca8c4e816aa91ddf83cea773b1e600c8d4bdee250bb58dceaf57a8",
    "production_rust_net_lines": -21,
    "test_rust_net_lines": 153,
    "public_api": "unchanged; no compatibility interface, alias, shim, or second kernel",
    "behavior": "Rational and analytic selected-fiber contacts retain the weakest construction policy actually consumed. Their angle order/bracket queries use the requested replay policy. Rational tangent dot products use turn*cross(radius,target tangent), including retained pair-radial publication; existing turn-sign and contact factories replace duplicated construction."
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      "selected_fiber_angle_query_observes_its_requested_policy",
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          "baseline_median": 55446.556,
          "candidate_median": 54021.9235,
          "change_percent": -2.5693796022245308
        },
        {
          "name": "bezier_region/curve_region_cached_classification",
          "baseline": [
            34023.2705,
            36781.8165,
            37678.045,
            34571.1135,
            35328.4715,
            35697.876,
            35378.7775
          ],
          "candidate": [
            33778.2575,
            34202.2635,
            33906.869,
            34292.3475,
            34316.1155,
            34473.505,
            33443.175500000005
          ],
          "baseline_median": 35378.7775,
          "candidate_median": 34202.2635,
          "change_percent": -3.3254795194661457
        },
        {
          "name": "bezier_region/bezier_region_materialization",
          "baseline": [
            2957.7601,
            3147.5311,
            3162.37505,
            3039.4305,
            2915.87295,
            2836.4269,
            3006.36175
          ],
          "candidate": [
            2875.69775,
            3124.7341,
            2773.8362,
            2818.53965,
            2873.34635,
            2887.1054,
            2766.4742
          ],
          "baseline_median": 3006.36175,
          "candidate_median": 2873.34635,
          "change_percent": -4.424464221579461
        },
        {
          "name": "bezier_region/cubic_bezier_exact_area_moments",
          "baseline": [
            12844.489300000001,
            13099.8163,
            12833.2301,
            14363.8771,
            13470.71785,
            13351.94095,
            13327.122700000002
          ],
          "candidate": [
            12821.96185,
            12619.02925,
            12516.2273,
            12557.86895,
            12920.861550000001,
            12780.1077,
            12620.0112
          ],
          "baseline_median": 13327.122700000002,
          "candidate_median": 12620.0112,
          "change_percent": -5.305807681953745
        }
      ]
    }
  },
  "memory": {
    "scope": "Paired whole-process peak RSS only; no fresh allocator or complete heap recording in this checkpoint.",
    "layout": "No retained data field or public type was added. The shared contact factory preserves the same Arc allocation and sharing as the removed inline construction."
  },
  "size": {
    "native": [
      {
        "fixture": "bezier_region",
        "baseline": {
          "text": 9407607,
          "file": 14884344
        },
        "candidate": {
          "text": 9405863,
          "file": 14880856
        },
        "text_delta": -1744,
        "file_delta": -3488
      },
      {
        "fixture": "rational_bezier",
        "baseline": {
          "text": 6114263,
          "file": 10512880
        },
        "candidate": {
          "text": 6112631,
          "file": 10508880
        },
        "text_delta": -1632,
        "file_delta": -4000
      },
      {
        "fixture": "curve_region_boolean_batch",
        "baseline": {
          "text": 9003207,
          "file": 14322112
        },
        "candidate": {
          "text": 9001463,
          "file": 14318648
        },
        "text_delta": -1744,
        "file_delta": -3464
      }
    ],
    "wasm": {
      "baseline": 17029672,
      "candidate": 17031775,
      "delta": 2103
    }
  },
  "limitations": [
    "Not a uniform performance or full Hypercurve release-readiness claim.",
    "ExactCorelib idea mining/uplift remains closed; lower-stack and Hypermesh source are unchanged in this slice.",
    "Concurrent Hyperreal formatting work is preserved, not committed or qualified by these pinned-snapshot results.",
    "Owned build, test and profile workers were finished before paired timings; existing desktop processes were not stopped or controlled.",
    "No push, publication or deployment."
  ],
  "followups": [
    "Rational overlap map construction still captures requested policy before later boundary decisions; do not blindly weaken that early capture. Audit publication after all consumed predicates.",
    "The rational-circle component boundary seeding still assumes an algebraic center after refinement. Reuse the shared finite-fiber authority and prove the exact-center overlap case separately.",
    "Other mapped angle queries must be reviewed together with their retained caches before changing their query policy. This checkpoint changes the uncached selected-fiber maps, not every mapped-circle cache.",
    "Rational equality's measured wide-cross-product allocation dominance and the one-item coarse-sign loop remain separate candidates, not changes delivered here."
  ],
  "reproduction": {
    "snapshot": "#!/usr/bin/env bash\nset -euo pipefail\nreplay_workspace=/home/tim/Documents/GitHub/workspace\nreplay_root=\"$replay_workspace/hypercurve/target/strict-contact-replay.iVykgE\"\nreplay_snapshot=\"$replay_root/snapshot\"\nmapfile -t replay_revisions < \"$replay_root/snapshot-revisions.txt\"\nmkdir \"$replay_snapshot\"\nreplay_index=0\nfor replay_crate in hyperreal hyperlimit hyperlattice hypertri hypersolve hypercurve; do\n    mkdir \"$replay_snapshot/$replay_crate\"\n    git -C \"$replay_workspace/$replay_crate\" archive \"${replay_revisions[$replay_index]}\" | tar -xf - -C \"$replay_snapshot/$replay_crate\"\n    replay_index=$((replay_index + 1))\ndone\ncp \"$replay_root/baseline-bezier_offset.rs\" \"$replay_snapshot/hypercurve/src/bezier_offset.rs\"\ncd \"$replay_snapshot/hypercurve\"\nbash \"$replay_root/test-regressions.sh\" baseline\n",
    "focused_tests": "#!/usr/bin/env bash\nset -uo pipefail\nreplay_root=/home/tim/Documents/GitHub/workspace/hypercurve/target/strict-contact-replay.iVykgE\nreplay_label=\"$1\"\ncd \"$replay_root/snapshot/hypercurve\"\nenv CARGO_BUILD_JOBS=2 cargo test --release --locked --all-features --lib --no-run > \"$replay_root/$replay_label-build.log\" 2>&1\nreplay_status=$?\nif (( replay_status != 0 )); then exit \"$replay_status\"; fi\ncp target/release/deps/hypercurve-0cc442a79c71c1af \"$replay_root/$replay_label-test\"\nreplay_failed=0\nfor replay_case in selected_parallel_normal_circle_keeps_contacts_when_center_refines_to_exact selected_fiber_angle_query_observes_its_requested_policy rational_circle_tangent_dot_follows_both_traversals selected_parallel_normal_circle_intersects_genuinely_analytic_parallel_in_one_fiber; do\n    if [[ \"$replay_label\" == baseline && \"$replay_case\" == rational_circle_tangent_dot_follows_both_traversals ]]; then\n        continue\n    fi\n    \"$replay_root/$replay_label-test\" --exact \"bezier_offset::conversion_tests::$replay_case\" --nocapture > \"$replay_root/$replay_label-$replay_case.log\" 2>&1\n    replay_status=$?\n    if ! rg -q 'test result: (ok\\. 1 passed; 0 failed;|FAILED\\. 0 passed; 1 failed;)' \"$replay_root/$replay_label-$replay_case.log\"; then\n        replay_status=125\n    fi\n    printf '%s %s\\n' \"$replay_case\" \"$replay_status\"\n    if (( replay_status != 0 )); then replay_failed=1; fi\ndone\nexit \"$replay_failed\"\n",
    "gates": "#!/usr/bin/env bash\nset -uo pipefail\nreplay_root=/home/tim/Documents/GitHub/workspace/hypercurve/target/strict-contact-replay.iVykgE\ncd \"$replay_root/snapshot/hypercurve\"\nexport CARGO_BUILD_JOBS=2\nreplay_failed=0\nreplay_gate() {\n    local replay_gate_name=\"$1\"\n    shift\n    \"$@\" > \"$replay_root/candidate-$replay_gate_name.log\" 2>&1\n    local replay_gate_status=$?\n    printf '%s %s\\n' \"$replay_gate_name\" \"$replay_gate_status\"\n    if (( replay_gate_status != 0 )); then replay_failed=1; fi\n}\nreplay_gate fmt cargo fmt --all --check\nreplay_gate full cargo test --release --locked --all-features --no-fail-fast -- --include-ignored --test-threads=2\nreplay_gate clippy cargo clippy --locked --all-targets --all-features -- -D warnings\nreplay_gate minimal cargo test --release --locked --no-default-features --no-fail-fast -- --test-threads=2\nreplay_gate minimal-clippy cargo clippy --locked --all-targets --no-default-features -- -D warnings\nreplay_gate docs env RUSTDOCFLAGS='-D warnings' cargo doc --locked --no-deps --all-features\nreplay_gate minimal-docs env RUSTDOCFLAGS='-D warnings' cargo doc --locked --no-deps --no-default-features\nreplay_gate fuzz-check cargo check --locked --manifest-path fuzz/Cargo.toml --bins\nreplay_gate ui-tests cargo test --locked --manifest-path examples/hypercurve_ui/Cargo.toml --no-fail-fast\nreplay_gate ui-clippy cargo clippy --locked --manifest-path examples/hypercurve_ui/Cargo.toml --all-targets -- -D warnings\nreplay_gate ui-wasm cargo build --locked --manifest-path examples/hypercurve_ui/Cargo.toml --release --target wasm32-unknown-unknown\nexit \"$replay_failed\"\n",
    "build_artifacts": "#!/usr/bin/env bash\nset -euo pipefail\nreplay_root=/home/tim/Documents/GitHub/workspace/hypercurve/target/strict-contact-replay.iVykgE\nreplay_label=\"$1\"\ncd \"$replay_root/snapshot/hypercurve\"\nenv CARGO_BUILD_JOBS=2 cargo build --release --locked --bench bezier_region --bench rational_bezier --bench curve_region_boolean_batch > \"$replay_root/$replay_label-bench-build.log\" 2>&1\nfor replay_bench in bezier_region rational_bezier curve_region_boolean_batch; do\n    replay_bins=(target/release/deps/\"$replay_bench\"-*)\n    replay_count=0\n    for replay_bin in \"${replay_bins[@]}\"; do\n        if [[ -x \"$replay_bin\" && \"$replay_bin\" != *.d ]]; then\n            cp \"$replay_bin\" \"$replay_root/$replay_label-$replay_bench\"\n            replay_count=$((replay_count + 1))\n        fi\n    done\n    if (( replay_count != 1 )); then\n        printf 'ambiguous benchmark %s: %s executables\\n' \"$replay_bench\" \"$replay_count\" >&2\n        exit 1\n    fi\ndone\nenv CARGO_BUILD_JOBS=2 cargo build --locked --manifest-path examples/hypercurve_ui/Cargo.toml --release --target wasm32-unknown-unknown > \"$replay_root/$replay_label-wasm-build.log\" 2>&1\ncp examples/hypercurve_ui/target/wasm32-unknown-unknown/release/hypercurve_ui.wasm \"$replay_root/$replay_label-ui.wasm\"\n",
    "timings": "#!/usr/bin/env bash\nset -euo pipefail\nreplay_root=/home/tim/Documents/GitHub/workspace/hypercurve/target/strict-contact-replay.iVykgE\nfor replay_round in 1 2 3; do\n    if (( replay_round % 2 )); then\n        replay_order=\"baseline candidate\"\n    else\n        replay_order=\"candidate baseline\"\n    fi\n    for replay_case in selected chord radial contacts; do\n        case \"$replay_case\" in\n            selected) replay_test=selected_fiber_genuinely_analytic_contacts_complete_region_booleans ;;\n            chord) replay_test=recursive_selected_radial_diameter_chord_intersects_a_rational_quadratic_strict ;;\n            radial) replay_test=recursively_pair_radial_circle_intersects_a_genuine_analytic_parallel ;;\n            contacts) replay_test=selected_parallel_normal_circle_retains_general_rational_contacts_in_one_fiber ;;\n        esac\n        for replay_variant in $replay_order; do\n            /usr/bin/time -f 'elapsed_s=%e user_s=%U system_s=%S max_rss_kib=%M exit=%x' \\\n                -o \"$replay_root/paired-$replay_case-$replay_round-$replay_variant.time\" \\\n                taskset -c 7 \"$replay_root/$replay_variant-test\" \\\n                \"bezier_offset::conversion_tests::$replay_test\" --exact --include-ignored --test-threads=1 \\\n                > \"$replay_root/paired-$replay_case-$replay_round-$replay_variant.log\" 2>&1\n            printf '%s %s %s passed\\n' \"$replay_case\" \"$replay_round\" \"$replay_variant\"\n        done\n    done\n    for replay_bench in bezier_region rational_bezier; do\n        for replay_variant in $replay_order; do\n            /usr/bin/time -f 'elapsed_s=%e user_s=%U system_s=%S max_rss_kib=%M exit=%x' \\\n                -o \"$replay_root/paired-$replay_bench-$replay_round-$replay_variant.time\" \\\n                taskset -c 7 \"$replay_root/$replay_variant-$replay_bench\" \\\n                > \"$replay_root/paired-$replay_bench-$replay_round-$replay_variant.log\" 2>&1\n        done\n    done\n    for replay_fixture in rectangles circles capsules; do\n        unset HYPERCURVE_CURVE_REGION_BATCH_FIXTURE\n        if [[ \"$replay_fixture\" != rectangles ]]; then\n            export HYPERCURVE_CURVE_REGION_BATCH_FIXTURE=\"$replay_fixture\"\n        fi\n        for replay_variant in $replay_order; do\n            HYPERCURVE_CURVE_REGION_BATCH_ITERATIONS=1000 \\\n                taskset -c 7 \"$replay_root/$replay_variant-curve_region_boolean_batch\" \\\n                > \"$replay_root/paired-$replay_fixture-$replay_round-$replay_variant.log\" 2>&1\n        done\n    done\ndone\n",
    "additional_native_pairs": "#!/usr/bin/env bash\nset -euo pipefail\nfiber_evidence=\"/home/tim/Documents/GitHub/workspace/hypercurve/target/strict-contact-replay.iVykgE\"\nfor fiber_round in 1 2 3 4 5 6 7; do\n    if (( fiber_round % 2 )); then\n        fiber_order=\"baseline candidate\"\n    else\n        fiber_order=\"candidate baseline\"\n    fi\n    for fiber_fixture in bezier_region rational_bezier; do\n        for fiber_variant in $fiber_order; do\n            /usr/bin/time -f 'elapsed_s=%e user_s=%U system_s=%S max_rss_kib=%M exit=%x' \\\n                -o \"$fiber_evidence/repeat-$fiber_fixture-$fiber_round-$fiber_variant.time\" \\\n                taskset -c 7 \"$fiber_evidence/$fiber_variant-$fiber_fixture\" \\\n                > \"$fiber_evidence/repeat-$fiber_fixture-$fiber_round-$fiber_variant.log\" 2>&1\n            printf '%s %s %s passed\\n' \"$fiber_fixture\" \"$fiber_round\" \"$fiber_variant\"\n        done\n    done\ndone\nnode \"$fiber_evidence/collect-results.mjs\" \"$fiber_evidence\" repeat 7 > \"$fiber_evidence/repeat-results.json\"\n",
    "instructions": "#!/usr/bin/env bash\nset -euo pipefail\nreplay_root=/home/tim/Documents/GitHub/workspace/hypercurve/target/strict-contact-replay.iVykgE\nfor replay_fixture in rectangles circles capsules; do\n    unset HYPERCURVE_CURVE_REGION_BATCH_FIXTURE\n    if [[ \"$replay_fixture\" != rectangles ]]; then\n        export HYPERCURVE_CURVE_REGION_BATCH_FIXTURE=\"$replay_fixture\"\n    fi\n    for replay_variant in baseline candidate; do\n        HYPERCURVE_CURVE_REGION_BATCH_ITERATIONS=20 \\\n            taskset -c 3 valgrind --tool=callgrind \\\n            --callgrind-out-file=\"$replay_root/instructions-$replay_fixture-$replay_variant.callgrind\" \\\n            \"$replay_root/$replay_variant-curve_region_boolean_batch\" \\\n            > \"$replay_root/instructions-$replay_fixture-$replay_variant.log\" 2>&1\n        printf '%s %s passed\\n' \"$replay_fixture\" \"$replay_variant\"\n    done\ndone\n",
    "result_collector": "import fs from \"node:fs\";\nconst root = process.argv[2];\nconst prefix = process.argv[3] ?? \"paired\";\nconst rounds = Number(process.argv[4] ?? \"3\");\nconst pattern = new RegExp(\"^\" + prefix + \"-(.+)-(\\\\d+)-(baseline|candidate)\\\\.log$\");\nconst files = fs.readdirSync(root);\nconst whole = [], lanes = [];\nfor (const name of files) {\n  const m = name.match(pattern);\n  if (!m) continue;\n  const fixture = m[1], round = Number(m[2]), variant = m[3];\n  const contents = fs.readFileSync(root + \"/\" + name, \"utf8\");\n  if ([\"selected\", \"chord\", \"radial\", \"contacts\"].includes(fixture) &&\n      !contents.includes(\"test result: ok. 1 passed; 0 failed; 0 ignored;\"))\n    throw new Error(\"Incomplete test: \" + name);\n  const time = root + \"/\" + name.replace(/\\.log$/, \".time\");\n  if (fs.existsSync(time)) {\n    const values = Object.fromEntries([...fs.readFileSync(time, \"utf8\").matchAll(/(\\w+)=([0-9.]+)/g)].map(m => [m[1], Number(m[2])]));\n    if (values.exit !== 0) throw new Error(\"Unsuccessful process: \" + name);\n    whole.push({fixture, round, variant, ...values});\n  }\n  for (const line of contents.split(\"\\n\")) {\n    let m = line.match(/^([^:]+): (\\d+) (?:iterations|curves) in ([0-9.]+)(ns|µs|ms|s) /);\n    if (m) {\n      const iterations = Number(m[2]), total_ns = Number(m[3]) * ({ns:1,\"µs\":1000,ms:1000000,s:1000000000})[m[4]];\n      lanes.push({fixture, round, variant, name:m[1], iterations, total_ns, ns_per_iter:total_ns/iterations, output:line});\n      continue;\n    }\n    m = line.match(/^([^:]+): (\\d+) iterations, total_ns=(\\d+), ns_per_iter=(\\d+),/);\n    if (m) {\n      const iterations = Number(m[2]), total_ns = Number(m[3]);\n      lanes.push({fixture, round, variant, name:m[1], iterations, total_ns, ns_per_iter:total_ns/iterations, output:line});\n    }\n  }\n}\nconst median = xs => { const sorted = xs.toSorted((a,b)=>a-b); return sorted[(sorted.length-1)/2]; };\nconst compare = (rows, key, value) => [...new Set(rows.map(key))].map(name => {\n  const baseline = rows.filter(r => key(r) === name && r.variant === \"baseline\").map(r=>r[value]);\n  const candidate = rows.filter(r => key(r) === name && r.variant === \"candidate\").map(r=>r[value]);\n  if (baseline.length !== rounds || candidate.length !== rounds) throw new Error(\"Unpaired \" + name);\n  const before = median(baseline), after = median(candidate);\n  return {name, baseline, candidate, baseline_median:before, candidate_median:after, change_percent:100*(after/before-1)};\n});\nconst instructions = [\"rectangles\",\"circles\",\"capsules\"].map(fixture => {\n  const values = [\"baseline\",\"candidate\"].map(variant => {\n    const contents = fs.readFileSync(root+\"/instructions-\"+fixture+\"-\"+variant+\".callgrind\",\"utf8\");\n    const summary = Number(contents.match(/^summary: (\\d+)$/m)?.[1]);\n    const total = Number(contents.match(/^totals: (\\d+)$/m)?.[1]);\n    if (!summary || summary !== total) throw new Error(\"Incomplete Callgrind result\");\n    return summary;\n  });\n  return {fixture, baseline:values[0], candidate:values[1], change_percent:100*(values[1]/values[0]-1)};\n});\nconsole.log(JSON.stringify({\n  cpu:7, alternating_order:Array.from({length:rounds}, (_, index) => index % 2 ? \"candidate,baseline\" : \"baseline,candidate\"),\n  invocations:files.filter(f=>pattern.test(f)).length,\n  whole_process_measurements:whole,\n  whole_process_summary:compare(whole,r=>r.fixture,\"elapsed_s\"),\n  lane_measurements:lanes,\n  lane_summary:compare(lanes,r=>r.fixture+\"/\"+r.name,\"ns_per_iter\").sort((a,b)=>b.change_percent-a.change_percent),\n  instructions\n}, null, 2));\n"
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