{ "schema": 1, "date": "2026-09-07", "title": "Recursive transformed bounds through the existing exact projective transform", "priority_order": [ "exactness", "completeness", "performance", "memory", "binary size", "code size" ], "decision": "Retain the higher-priority exact-bounds completeness repair and delete duplicate arithmetic. No compatibility path or public API is introduced. All measured costs are retained; this is not a uniform speedup or release-readiness claim.", "revisions": [ { "repository": "hyperreal", "revision": "da26e961bf76adf13829d8a26ced6cdaacb6b564" }, { "repository": "hyperlimit", "revision": "dd79d4770a3dfa1e0cfc0e1f0da19d15bd1ef9e5" }, { "repository": "hyperlattice", "revision": "53427ce89f8c82c016e69a04e035787e2753adc8" }, { "repository": "hypertri", "revision": "6a2092c066964f3b7528299a72ef0ed1af4b1ff0" }, { "repository": "hypersolve", "revision": "42f2bdb87e5f9905b95e4f95d4e5e1abdb65586e" }, { "repository": "hypercurve", "revision": "92171deddc6c3f83f25710e33bcfc9b303e8c067" }, { "repository": "hypermesh", "revision": "d9db5c45a0cecc2307aa66a6f7f1b0396350e4ee" } ], "hypercurve_candidate": "da72dfe5ac9b79881434c0e5e5d5d7446ac5e3a3", "source": { "file": "hypercurve/src/bezier_offset.rs", "baseline_source_sha256": "af0be2b47d63dcf422f36c3a2c0ea34793bb1ad7db917ad6a2b189a6c8e1c17b", "original_regression_source_sha256": "6e5eadd0461565eb6fd70fa957489c1b25a89b4fbe7aa1e225a6b2f1c1100562", "candidate_source_sha256": "2145b159286af4ad3daa1c2322495987e7d774aa3fe1ed7bae9cf3564a2a14f2", "original_production_sha256": "66cde5bf9af61e4b3e01d7daecbf9650e4b28a299898e268cbb4abcee4136ced", "candidate_production_sha256": "15dd0afbe7501fa5d241426bb102aa93c088066e975e0503c7c399d3a76e6478", "test_module_sha256": "9203eb57e08efd880973686d0bd0258dcc3cb7d79e13b2c648d1528dee7e42f9", "matched_test_modules": true, "matched_catalogs": true, "catalog_sha256": "d83a0b04538dc56c1c3fe40bae603b27503138c696a53035a3beedc9521b81a1", "unchanged_geometry_workloads": [ "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": 129365, "candidate": 129335, "delta": -30 }, "test_lines_delta": 42, "source_lines_delta": 12, "public_api": "Unchanged. One duplicate private derived_contact_bounds_refined implementation is removed; the map dispatch now calls the pre-existing rotated_radial_image and bounds_refined authorities. No cache, object field, representation, or shim added.", "diagnosis": "The retained contact may extend the center's field by a discriminant root. multiply rejects unequal fields before zero/one shortcuts, including constant denominators. The former bounds helper multiplied across those fields and returned Unsupported. The existing exact projective transform lifts the center into the contact's field before arithmetic; reuse that path with zero perpendicular scale.", "invariants": "Projective denominators retain their strict-positive certificate. bounds_refined uses certified dyadic or interval arithmetic, never sampled topology or an approximate terminal. Caller-policy validation and rotated-bounds dispatch are unchanged." }, "regressions": { "original": [ { "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": 101 }, { "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": 101 }, { "name": "pair_radial_circle_intersects_independent_field_chord_exactly", "exit": 0 }, { "name": "dense_chord_normal_independent_anchor_uses_rank_independent_fallback", "exit": 0 } ], "candidate": [ { "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": "pair_radial_circle_intersects_independent_field_chord_exactly", "exit": 0 }, { "name": "dense_chord_normal_independent_anchor_uses_rank_independent_fallback", "exit": 0 } ], "carrier_families": [ "axis", "chord-normal-projective", "oblique", "recursive-quadratic-line", "represented-oblique", "retained-offset", "selected-radial" ], "catalog": "920 tests, 0 benchmarks", "exact_oracles": "Independent interval brackets for 2x-3y under six transforms: translation, positive/negative/zero unrotated radial scale, and two signed rotations, across all seven retained carrier families. Recursive translated contacts on exact y=-1 must enclose y=1 at refinement steps 0,2,16,64 under STRICT and APPROXIMATE_512 construction. Exact equality, policy and forced-strict replay guards remain.", "evidence": "Both original recursive controls fail at the first translated-bounds query with Uncertain(Unsupported). The field diagnostic records direct_product=false and lifted_product=true. All eight candidate checks complete; original and candidate test modules and 920-test catalogs match byte for byte. Earlier failures are reproduced from the preserved previous oracle binary; its production prefix matches this baseline.", "timeouts": "Focused original and candidate invocations use 120-second diagnostic limits; observed exit 101 denotes assertion failure, not timeout." }, "diagnostics": { "selected_radial": { "original_libtest_seconds": 61.45, "candidate_libtest_seconds": 61.68, "previous_three_transform_libtest_seconds": 26.71, "sampled_libtest_seconds": 65.97, "samples": 6538, "lost_samples": 0, "flat_hotspots_percent": { "biguint_div_rem_core": 43.28, "biguint_shl2": 11.28, "biguint_shr2": 5.16, "rational_gcd_wide_magnitudes": 4.16 }, "scope": "The six-transform oracle adds complete work to an existing selected-radial test. Raw perf data and flat summary are retained. This single instrumented run occurred during qualification and is not a latency comparison or call-site attribution. Investigate the cost without removing correctness assertions; see FOLLOWUPS.md." } }, "validation": { "gates": [ "fmt 0", "full 0", "clippy 0", "minimal 0", "minimal-clippy 0", "docs 0", "minimal-docs 0", "fuzz-check 0", "ui-tests 0", "ui-clippy 0", "ui-wasm 0" ], "all_features_include_ignored": { "passed": 1770, "failed": 0, "ignored": 0, "suites": 46 }, "no_default_features": { "passed": 1732, "failed": 0, "ignored": 4, "suites": 46 }, "ui": { "passed": 37, "failed": 0, "ignored": 0, "suites": 1 }, "fuzz_targets_compiled": true, "new_fuzz_campaign": false, "fresh_coverage": false, "lower_stack_or_hypermesh_requalification": false, "scope": "Seven pinned source archives without live dependency symlinks. Full-feature opt-in cases run explicitly; minimal opt-in cases are covered by that full run. Concurrent Hyperreal drafts remain excluded and untouched. No browser requalification, push, publication, or external-worker termination." }, "control": { "source_root": "/home/tim/Documents/GitHub/workspace/hypercurve/target/recursive-bounds.tCa7hH/snapshot", "unit_features": "all", "native_features": "empty default feature set", "ui_features": "UI defaults", "profile_workloads": "The same-field recursive tangent test completes in both revisions with identical strengthened assertions and equal-length control-test/changed-test executable names. The newly complete recursive test is additionally profiled candidate-only; original Unsupported failures are never treated as equivalent performance controls." }, "memory": { "tangent": { "baseline": { "format": 3, "records": 1841073, "allocations": 755084, "frees": 750771, "untracked_frees": 2, "allocated_bytes": 42656437, "peak_live_bytes": 659994, "end_live_bytes": 313224, "peak_live_allocations": 7379, "end_live_allocations": 4313 }, "candidate": { "format": 3, "records": 1841421, "allocations": 755228, "frees": 750915, "untracked_frees": 2, "allocated_bytes": 42665013, "peak_live_bytes": 659994, "end_live_bytes": 313224, "peak_live_allocations": 7379, "end_live_allocations": 4313 } }, "newly_complete_recursive_candidate": { "format": 3, "records": 13396878, "allocations": 5063698, "frees": 5059638, "untracked_frees": 2, "allocated_bytes": 250035299, "peak_live_bytes": 1277658, "end_live_bytes": 294112, "peak_live_allocations": 16596, "end_live_allocations": 4060 }, "scope": "Single complete whole-libtest Heaptrack format-3 streams, not geometry-only attribution, ecosystem memory coverage, RSS causality, or leak proof. Final live allocation counts reconcile; compressed streams pass zstd integrity checks." }, "instructions": { "tangent": { "baseline": 455963380, "candidate": 455978519, "change_percent": 0.003320222777536408 }, "newly_complete_recursive_candidate": 2943985967, "scope": "Whole-libtest Callgrind; each summary equals total. Instrumented durations are not latency measurements. 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"cubic_bezier_prefix_length_bounds: 20000 iterations in 74.583267ms (3.729µs/iter)" }, { "fixture": "bezier_region", "round": 2, "variant": "baseline", "name": "curve_region_boolean_immediate_union", "iterations": 1000, "total_ns": 172975431, "ns_per_iter": 172975.431, "output": "curve_region_boolean_immediate_union: 1000 iterations in 172.975431ms (172.975µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 2, "variant": "baseline", "name": "curve_region_boolean_immediate_all_ops", "iterations": 1000, "total_ns": 350046462, "ns_per_iter": 350046.462, "output": "curve_region_boolean_immediate_all_ops: 1000 iterations in 350.046462ms (350.046µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 2, "variant": "baseline", "name": "curve_region_boolean_retained_algebraic_all_ops", "iterations": 100, "total_ns": 21348306, "ns_per_iter": 213483.06, "output": "curve_region_boolean_retained_algebraic_all_ops: 100 iterations in 21.348306ms (213.483µs/iter), checksum=1100" }, { "fixture": "bezier_region", "round": 2, "variant": "baseline", "name": "bezier_region_algebraic_ray_classification", "iterations": 2000, "total_ns": 109706259, "ns_per_iter": 54853.1295, "output": "bezier_region_algebraic_ray_classification: 2000 iterations in 109.706259ms (54.853µs/iter), checksum=4000" }, { "fixture": "bezier_region", "round": 2, "variant": "baseline", "name": "bezier_region_materialization", "iterations": 20000, "total_ns": 57963447, "ns_per_iter": 2898.17235, "output": "bezier_region_materialization: 20000 iterations in 57.963447ms (2.898µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 2, "variant": "baseline", "name": "curve_region_cached_classification", "iterations": 2000, "total_ns": 68348754, "ns_per_iter": 34174.377, "output": "curve_region_cached_classification: 2000 iterations in 68.348754ms (34.174µs/iter), checksum=4000" }, { "fixture": "bezier_region", "round": 2, "variant": "baseline", "name": "curve_region_immediate_native_signed_depth", "iterations": 2000, "total_ns": 1770949, "ns_per_iter": 885.4745, "output": "curve_region_immediate_native_signed_depth: 2000 iterations in 1.770949ms (885ns/iter), checksum=2000" }, { "fixture": "bezier_region", "round": 2, "variant": "baseline", "name": "bezier_retained_region_materialization", "iterations": 20000, "total_ns": 232875725, "ns_per_iter": 11643.78625, "output": "bezier_retained_region_materialization: 20000 iterations in 232.875725ms (11.643µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 2, "variant": "baseline", "name": "curve_region_cached_algebraic_classification", "iterations": 2000, "total_ns": 87152805, "ns_per_iter": 43576.4025, "output": "curve_region_cached_algebraic_classification: 2000 iterations in 87.152805ms (43.576µs/iter), checksum=4000" }, { "fixture": "bezier_region", "round": 2, "variant": "baseline", "name": "bezier_retained_algebraic_source_envelope", "iterations": 20000, "total_ns": 261334804.00000003, "ns_per_iter": 13066.740200000002, "output": "bezier_retained_algebraic_source_envelope: 20000 iterations in 261.334804ms (13.066µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 2, "variant": "baseline", "name": "bezier_retained_algebraic_exact_endpoint_envelope", "iterations": 20000, "total_ns": 111776916, "ns_per_iter": 5588.8458, "output": "bezier_retained_algebraic_exact_endpoint_envelope: 20000 iterations in 111.776916ms (5.588µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 2, "variant": "baseline", "name": "bezier_retained_algebraic_line_authoritative_roles", "iterations": 20000, "total_ns": 2671938072, "ns_per_iter": 133596.9036, "output": "bezier_retained_algebraic_line_authoritative_roles: 20000 iterations in 2.671938072s (133.596µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 2, "variant": "baseline", "name": "bezier_resolved_overlap_region_materialization", "iterations": 20000, "total_ns": 476339124, "ns_per_iter": 23816.9562, "output": "bezier_resolved_overlap_region_materialization: 20000 iterations in 476.339124ms (23.816µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 2, "variant": "baseline", "name": "bezier_conic_region_exact_area", "iterations": 20000, "total_ns": 498916466, "ns_per_iter": 24945.8233, "output": "bezier_conic_region_exact_area: 20000 iterations in 498.916466ms (24.945µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 2, "variant": "candidate", "name": "curve_region_clone", "iterations": 1000000, "total_ns": 3628751, "ns_per_iter": 3.628751, "output": "curve_region_clone: 1000000 iterations in 3.628751ms (3ns/iter), checksum=1000000" }, { "fixture": "bezier_region", "round": 2, "variant": "candidate", "name": "curve_region_empty", "iterations": 1000000, "total_ns": 3024143, "ns_per_iter": 3.024143, "output": "curve_region_empty: 1000000 iterations in 3.024143ms (3ns/iter), checksum=0" }, { "fixture": "bezier_region", "round": 2, "variant": "candidate", "name": "cubic_bezier_exact_area_moments", "iterations": 20000, "total_ns": 280162333, "ns_per_iter": 14008.11665, "output": "cubic_bezier_exact_area_moments: 20000 iterations in 280.162333ms (14.008µs/iter)" }, { "fixture": "bezier_region", "round": 2, "variant": "candidate", "name": "cubic_bezier_prefix_area_moments", "iterations": 20000, "total_ns": 359853240, "ns_per_iter": 17992.662, "output": "cubic_bezier_prefix_area_moments: 20000 iterations in 359.85324ms (17.992µs/iter)" }, { "fixture": "bezier_region", "round": 2, "variant": "candidate", "name": "cubic_bezier_prefix_length_bounds", "iterations": 20000, "total_ns": 76988922, "ns_per_iter": 3849.4461, "output": "cubic_bezier_prefix_length_bounds: 20000 iterations in 76.988922ms (3.849µs/iter)" }, { "fixture": "bezier_region", "round": 2, "variant": "candidate", "name": "curve_region_boolean_immediate_union", "iterations": 1000, "total_ns": 177328293, "ns_per_iter": 177328.293, "output": "curve_region_boolean_immediate_union: 1000 iterations in 177.328293ms (177.328µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 2, "variant": "candidate", "name": "curve_region_boolean_immediate_all_ops", "iterations": 1000, "total_ns": 346827573, "ns_per_iter": 346827.573, "output": "curve_region_boolean_immediate_all_ops: 1000 iterations in 346.827573ms (346.827µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 2, "variant": "candidate", "name": "curve_region_boolean_retained_algebraic_all_ops", "iterations": 100, "total_ns": 20928065, "ns_per_iter": 209280.65, "output": "curve_region_boolean_retained_algebraic_all_ops: 100 iterations in 20.928065ms (209.28µs/iter), checksum=1100" }, { "fixture": "bezier_region", "round": 2, "variant": "candidate", "name": "bezier_region_algebraic_ray_classification", "iterations": 2000, "total_ns": 108058652, "ns_per_iter": 54029.326, "output": "bezier_region_algebraic_ray_classification: 2000 iterations in 108.058652ms (54.029µs/iter), checksum=4000" }, { "fixture": "bezier_region", "round": 2, "variant": "candidate", "name": "bezier_region_materialization", "iterations": 20000, "total_ns": 57982005, "ns_per_iter": 2899.10025, "output": "bezier_region_materialization: 20000 iterations in 57.982005ms (2.899µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 2, "variant": "candidate", "name": "curve_region_cached_classification", "iterations": 2000, "total_ns": 68809022, "ns_per_iter": 34404.511, "output": "curve_region_cached_classification: 2000 iterations in 68.809022ms (34.404µs/iter), checksum=4000" }, { "fixture": "bezier_region", "round": 2, "variant": "candidate", "name": "curve_region_immediate_native_signed_depth", "iterations": 2000, "total_ns": 1737181, "ns_per_iter": 868.5905, "output": "curve_region_immediate_native_signed_depth: 2000 iterations in 1.737181ms (868ns/iter), checksum=2000" }, { "fixture": "bezier_region", "round": 2, "variant": "candidate", "name": "bezier_retained_region_materialization", "iterations": 20000, "total_ns": 228735658, "ns_per_iter": 11436.7829, "output": "bezier_retained_region_materialization: 20000 iterations in 228.735658ms (11.436µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 2, "variant": "candidate", "name": "curve_region_cached_algebraic_classification", "iterations": 2000, "total_ns": 88392680, "ns_per_iter": 44196.34, "output": "curve_region_cached_algebraic_classification: 2000 iterations in 88.39268ms (44.196µs/iter), checksum=4000" }, { "fixture": "bezier_region", "round": 2, "variant": "candidate", "name": "bezier_retained_algebraic_source_envelope", "iterations": 20000, "total_ns": 266095876.99999997, "ns_per_iter": 13304.793849999998, "output": "bezier_retained_algebraic_source_envelope: 20000 iterations in 266.095877ms (13.304µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 2, "variant": "candidate", "name": "bezier_retained_algebraic_exact_endpoint_envelope", "iterations": 20000, "total_ns": 113291444, "ns_per_iter": 5664.5722, "output": "bezier_retained_algebraic_exact_endpoint_envelope: 20000 iterations in 113.291444ms (5.664µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 2, "variant": "candidate", "name": "bezier_retained_algebraic_line_authoritative_roles", "iterations": 20000, "total_ns": 2740268428, "ns_per_iter": 137013.4214, "output": "bezier_retained_algebraic_line_authoritative_roles: 20000 iterations in 2.740268428s (137.013µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 2, "variant": "candidate", "name": "bezier_resolved_overlap_region_materialization", "iterations": 20000, "total_ns": 465192708, "ns_per_iter": 23259.6354, "output": "bezier_resolved_overlap_region_materialization: 20000 iterations in 465.192708ms (23.259µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 2, "variant": "candidate", "name": "bezier_conic_region_exact_area", "iterations": 20000, "total_ns": 503225511, "ns_per_iter": 25161.27555, "output": "bezier_conic_region_exact_area: 20000 iterations in 503.225511ms (25.161µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 3, "variant": "baseline", "name": "curve_region_clone", "iterations": 1000000, "total_ns": 3587804, "ns_per_iter": 3.587804, "output": "curve_region_clone: 1000000 iterations in 3.587804ms (3ns/iter), checksum=1000000" }, { "fixture": "bezier_region", "round": 3, "variant": "baseline", "name": "curve_region_empty", "iterations": 1000000, "total_ns": 3078618, "ns_per_iter": 3.078618, "output": "curve_region_empty: 1000000 iterations in 3.078618ms (3ns/iter), checksum=0" }, { "fixture": "bezier_region", "round": 3, "variant": "baseline", "name": "cubic_bezier_exact_area_moments", "iterations": 20000, "total_ns": 263620997, "ns_per_iter": 13181.04985, "output": "cubic_bezier_exact_area_moments: 20000 iterations in 263.620997ms (13.181µs/iter)" }, { "fixture": "bezier_region", "round": 3, "variant": "baseline", "name": "cubic_bezier_prefix_area_moments", "iterations": 20000, "total_ns": 361852373, "ns_per_iter": 18092.61865, "output": "cubic_bezier_prefix_area_moments: 20000 iterations in 361.852373ms (18.092µs/iter)" }, { "fixture": "bezier_region", "round": 3, "variant": "baseline", "name": "cubic_bezier_prefix_length_bounds", "iterations": 20000, "total_ns": 77229545, "ns_per_iter": 3861.47725, "output": "cubic_bezier_prefix_length_bounds: 20000 iterations in 77.229545ms (3.861µs/iter)" }, { "fixture": "bezier_region", "round": 3, "variant": "baseline", "name": "curve_region_boolean_immediate_union", "iterations": 1000, "total_ns": 178334854, "ns_per_iter": 178334.854, "output": "curve_region_boolean_immediate_union: 1000 iterations in 178.334854ms (178.334µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 3, "variant": "baseline", "name": "curve_region_boolean_immediate_all_ops", "iterations": 1000, "total_ns": 354104684, "ns_per_iter": 354104.684, "output": "curve_region_boolean_immediate_all_ops: 1000 iterations in 354.104684ms (354.104µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 3, "variant": "baseline", "name": "curve_region_boolean_retained_algebraic_all_ops", "iterations": 100, "total_ns": 22069017, "ns_per_iter": 220690.17, "output": "curve_region_boolean_retained_algebraic_all_ops: 100 iterations in 22.069017ms (220.69µs/iter), checksum=1100" }, { "fixture": "bezier_region", "round": 3, "variant": "baseline", "name": "bezier_region_algebraic_ray_classification", "iterations": 2000, "total_ns": 122493592, "ns_per_iter": 61246.796, "output": "bezier_region_algebraic_ray_classification: 2000 iterations in 122.493592ms (61.246µs/iter), checksum=4000" }, { "fixture": "bezier_region", "round": 3, "variant": "baseline", "name": "bezier_region_materialization", "iterations": 20000, "total_ns": 61241642, "ns_per_iter": 3062.0821, "output": "bezier_region_materialization: 20000 iterations in 61.241642ms (3.062µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 3, "variant": "baseline", "name": "curve_region_cached_classification", "iterations": 2000, "total_ns": 69342787, "ns_per_iter": 34671.3935, "output": "curve_region_cached_classification: 2000 iterations in 69.342787ms (34.671µs/iter), checksum=4000" }, { "fixture": "bezier_region", "round": 3, "variant": "baseline", "name": "curve_region_immediate_native_signed_depth", "iterations": 2000, "total_ns": 1720702, "ns_per_iter": 860.351, "output": "curve_region_immediate_native_signed_depth: 2000 iterations in 1.720702ms (860ns/iter), checksum=2000" }, { "fixture": "bezier_region", "round": 3, "variant": "baseline", "name": "bezier_retained_region_materialization", "iterations": 20000, "total_ns": 238580374, "ns_per_iter": 11929.0187, "output": "bezier_retained_region_materialization: 20000 iterations in 238.580374ms (11.929µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 3, "variant": "baseline", "name": "curve_region_cached_algebraic_classification", "iterations": 2000, "total_ns": 90801735, "ns_per_iter": 45400.8675, "output": "curve_region_cached_algebraic_classification: 2000 iterations in 90.801735ms (45.4µs/iter), checksum=4000" }, { "fixture": "bezier_region", "round": 3, "variant": "baseline", "name": "bezier_retained_algebraic_source_envelope", "iterations": 20000, "total_ns": 276358644, "ns_per_iter": 13817.9322, "output": "bezier_retained_algebraic_source_envelope: 20000 iterations in 276.358644ms (13.817µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 3, "variant": "baseline", "name": "bezier_retained_algebraic_exact_endpoint_envelope", "iterations": 20000, "total_ns": 120184911, "ns_per_iter": 6009.24555, "output": "bezier_retained_algebraic_exact_endpoint_envelope: 20000 iterations in 120.184911ms (6.009µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 3, "variant": "baseline", "name": "bezier_retained_algebraic_line_authoritative_roles", "iterations": 20000, "total_ns": 2724122034, "ns_per_iter": 136206.1017, "output": "bezier_retained_algebraic_line_authoritative_roles: 20000 iterations in 2.724122034s (136.206µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 3, "variant": "baseline", "name": "bezier_resolved_overlap_region_materialization", "iterations": 20000, "total_ns": 463270891, "ns_per_iter": 23163.54455, "output": "bezier_resolved_overlap_region_materialization: 20000 iterations in 463.270891ms (23.163µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 3, "variant": "baseline", "name": "bezier_conic_region_exact_area", "iterations": 20000, "total_ns": 496314144, "ns_per_iter": 24815.7072, "output": "bezier_conic_region_exact_area: 20000 iterations in 496.314144ms (24.815µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 3, "variant": "candidate", "name": "curve_region_clone", "iterations": 1000000, "total_ns": 3556826, "ns_per_iter": 3.556826, "output": "curve_region_clone: 1000000 iterations in 3.556826ms (3ns/iter), checksum=1000000" }, { "fixture": "bezier_region", "round": 3, "variant": "candidate", "name": "curve_region_empty", "iterations": 1000000, "total_ns": 3009834, "ns_per_iter": 3.009834, "output": "curve_region_empty: 1000000 iterations in 3.009834ms (3ns/iter), checksum=0" }, { "fixture": "bezier_region", "round": 3, "variant": "candidate", "name": "cubic_bezier_exact_area_moments", "iterations": 20000, "total_ns": 266324461.99999997, "ns_per_iter": 13316.2231, "output": "cubic_bezier_exact_area_moments: 20000 iterations in 266.324462ms (13.316µs/iter)" }, { "fixture": "bezier_region", "round": 3, "variant": "candidate", "name": "cubic_bezier_prefix_area_moments", "iterations": 20000, "total_ns": 354850473, "ns_per_iter": 17742.52365, "output": "cubic_bezier_prefix_area_moments: 20000 iterations in 354.850473ms (17.742µs/iter)" }, { "fixture": "bezier_region", "round": 3, "variant": "candidate", "name": "cubic_bezier_prefix_length_bounds", "iterations": 20000, "total_ns": 76044987, "ns_per_iter": 3802.24935, "output": "cubic_bezier_prefix_length_bounds: 20000 iterations in 76.044987ms (3.802µs/iter)" }, { "fixture": "bezier_region", "round": 3, "variant": "candidate", "name": "curve_region_boolean_immediate_union", "iterations": 1000, "total_ns": 175626590, "ns_per_iter": 175626.59, "output": "curve_region_boolean_immediate_union: 1000 iterations in 175.62659ms (175.626µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 3, "variant": "candidate", "name": "curve_region_boolean_immediate_all_ops", "iterations": 1000, "total_ns": 343940401, "ns_per_iter": 343940.401, "output": "curve_region_boolean_immediate_all_ops: 1000 iterations in 343.940401ms (343.94µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 3, "variant": "candidate", "name": "curve_region_boolean_retained_algebraic_all_ops", "iterations": 100, "total_ns": 20839742, "ns_per_iter": 208397.42, "output": "curve_region_boolean_retained_algebraic_all_ops: 100 iterations in 20.839742ms (208.397µs/iter), checksum=1100" }, { "fixture": "bezier_region", "round": 3, "variant": "candidate", "name": "bezier_region_algebraic_ray_classification", "iterations": 2000, "total_ns": 108004055, "ns_per_iter": 54002.0275, "output": "bezier_region_algebraic_ray_classification: 2000 iterations in 108.004055ms (54.002µs/iter), checksum=4000" }, { "fixture": "bezier_region", "round": 3, "variant": "candidate", "name": "bezier_region_materialization", "iterations": 20000, "total_ns": 56965494, "ns_per_iter": 2848.2747, "output": "bezier_region_materialization: 20000 iterations in 56.965494ms (2.848µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 3, "variant": "candidate", "name": "curve_region_cached_classification", "iterations": 2000, "total_ns": 67966651, "ns_per_iter": 33983.3255, "output": "curve_region_cached_classification: 2000 iterations in 67.966651ms (33.983µs/iter), checksum=4000" }, { "fixture": "bezier_region", "round": 3, "variant": "candidate", "name": "curve_region_immediate_native_signed_depth", "iterations": 2000, "total_ns": 1681605, "ns_per_iter": 840.8025, "output": "curve_region_immediate_native_signed_depth: 2000 iterations in 1.681605ms (840ns/iter), checksum=2000" }, { "fixture": "bezier_region", "round": 3, "variant": "candidate", "name": "bezier_retained_region_materialization", "iterations": 20000, "total_ns": 226208522, "ns_per_iter": 11310.4261, "output": "bezier_retained_region_materialization: 20000 iterations in 226.208522ms (11.31µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 3, "variant": "candidate", "name": "curve_region_cached_algebraic_classification", "iterations": 2000, "total_ns": 88412859, "ns_per_iter": 44206.4295, "output": "curve_region_cached_algebraic_classification: 2000 iterations in 88.412859ms (44.206µs/iter), checksum=4000" }, { "fixture": "bezier_region", "round": 3, "variant": "candidate", "name": "bezier_retained_algebraic_source_envelope", "iterations": 20000, "total_ns": 267421687.00000003, "ns_per_iter": 13371.084350000001, "output": "bezier_retained_algebraic_source_envelope: 20000 iterations in 267.421687ms (13.371µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 3, "variant": "candidate", "name": "bezier_retained_algebraic_exact_endpoint_envelope", "iterations": 20000, "total_ns": 113211838, "ns_per_iter": 5660.5919, "output": "bezier_retained_algebraic_exact_endpoint_envelope: 20000 iterations in 113.211838ms (5.66µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 3, "variant": "candidate", "name": "bezier_retained_algebraic_line_authoritative_roles", "iterations": 20000, "total_ns": 2686698671, "ns_per_iter": 134334.93355, "output": "bezier_retained_algebraic_line_authoritative_roles: 20000 iterations in 2.686698671s (134.334µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 3, "variant": "candidate", "name": "bezier_resolved_overlap_region_materialization", "iterations": 20000, "total_ns": 468703218, "ns_per_iter": 23435.1609, "output": "bezier_resolved_overlap_region_materialization: 20000 iterations in 468.703218ms (23.435µs/iter), checksum=0" }, { "fixture": "bezier_region", "round": 3, "variant": "candidate", "name": "bezier_conic_region_exact_area", "iterations": 20000, "total_ns": 517440376, "ns_per_iter": 25872.0188, "output": "bezier_conic_region_exact_area: 20000 iterations in 517.440376ms (25.872µs/iter), checksum=0" }, { "fixture": "capsules", "round": 1, "variant": "baseline", "name": "curve_region_boolean_four_independent", "iterations": 1000, "total_ns": 3515882124, "ns_per_iter": 3515882.124, "output": "curve_region_boolean_four_independent: 1000 iterations, total_ns=3515882124, ns_per_iter=3515882, checksum=0" }, { "fixture": "capsules", "round": 1, "variant": "baseline", "name": "curve_region_boolean_shared_all_four", "iterations": 1000, "total_ns": 1098637132, 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iterations, total_ns=4605005808, ns_per_iter=4605005, checksum=0" }, { "fixture": "circles", "round": 2, "variant": "candidate", "name": "curve_region_boolean_four_independent", "iterations": 1000, "total_ns": 9310598392, "ns_per_iter": 9310598.392, "output": "curve_region_boolean_four_independent: 1000 iterations, total_ns=9310598392, ns_per_iter=9310598, checksum=0" }, { "fixture": "circles", "round": 2, "variant": "candidate", "name": "curve_region_boolean_shared_all_four", "iterations": 1000, "total_ns": 4589076450, "ns_per_iter": 4589076.45, "output": "curve_region_boolean_shared_all_four: 1000 iterations, total_ns=4589076450, ns_per_iter=4589076, checksum=0" }, { "fixture": "circles", "round": 3, "variant": "baseline", "name": "curve_region_boolean_four_independent", "iterations": 1000, "total_ns": 9605318057, "ns_per_iter": 9605318.057, "output": "curve_region_boolean_four_independent: 1000 iterations, total_ns=9605318057, ns_per_iter=9605318, checksum=0" }, { "fixture": 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"rational_bezier_exact_mixed_axis_monotonicity", "iterations": 250, "total_ns": 6064804, "ns_per_iter": 24259.216, "output": "rational_bezier_exact_mixed_axis_monotonicity: 250 curves in 6.064804ms (24.259µs/curve), checksum=250" }, { "fixture": "rational_bezier", "round": 1, "variant": "baseline", "name": "rational_bezier_exact_degree_12_axis_monotonicity", "iterations": 250, "total_ns": 148440, "ns_per_iter": 593.76, "output": "rational_bezier_exact_degree_12_axis_monotonicity: 250 curves in 148.44µs (593ns/curve), checksum=250" }, { "fixture": "rational_bezier", "round": 1, "variant": "baseline", "name": "rational_bezier_retained_mixed_axis_monotonicity", "iterations": 100000, "total_ns": 426091, "ns_per_iter": 4.26091, "output": "rational_bezier_retained_mixed_axis_monotonicity: 100000 iterations in 426.091µs (4ns/iter), checksum=100000" }, { "fixture": "rational_bezier", "round": 1, "variant": "baseline", "name": "rational_bezier_endpoint_sign_reversal_monotonicity", "iterations": 2000, "total_ns": 4996808, "ns_per_iter": 2498.404, "output": "rational_bezier_endpoint_sign_reversal_monotonicity: 2000 curves in 4.996808ms (2.498µs/curve), checksum=0" }, { "fixture": "rational_bezier", "round": 1, "variant": "baseline", "name": "rational_bezier_cached_point_incidence", "iterations": 5000, "total_ns": 728240, "ns_per_iter": 145.648, "output": "rational_bezier_cached_point_incidence: 5000 iterations in 728.24µs (145ns/iter), checksum=5000" }, { "fixture": "rational_bezier", "round": 1, "variant": "baseline", "name": "rational_bezier_retained_lineage_partial_overlap", "iterations": 5000, "total_ns": 19148357, "ns_per_iter": 3829.6714, "output": "rational_bezier_retained_lineage_partial_overlap: 5000 iterations in 19.148357ms (3.829µs/iter), checksum=5000" }, { "fixture": "rational_bezier", "round": 1, "variant": "baseline", "name": "rational_bezier_algebraic_line_image_overlap", "iterations": 500, "total_ns": 5918134, "ns_per_iter": 11836.268, "output": "rational_bezier_algebraic_line_image_overlap: 500 iterations in 5.918134ms (11.836µs/iter), checksum=500" }, { "fixture": "rational_bezier", "round": 1, "variant": "baseline", "name": "rational_bezier_algebraic_polynomial_graph_overlap", "iterations": 250, "total_ns": 68019447, "ns_per_iter": 272077.788, "output": "rational_bezier_algebraic_polynomial_graph_overlap: 250 iterations in 68.019447ms (272.077µs/iter), checksum=250" }, { "fixture": "rational_bezier", "round": 1, "variant": "baseline", "name": "rational_bezier_cached_basis_resultant", "iterations": 500, "total_ns": 10465752, "ns_per_iter": 20931.504, "output": "rational_bezier_cached_basis_resultant: 500 iterations in 10.465752ms (20.931µs/iter), checksum=1000" }, { "fixture": "rational_bezier", "round": 1, "variant": "baseline", "name": "rational_bezier_algebraic_contact_replay", "iterations": 250, "total_ns": 5285387, "ns_per_iter": 21141.548, "output": "rational_bezier_algebraic_contact_replay: 250 iterations in 5.285387ms (21.141µs/iter), checksum=250" }, { "fixture": "rational_bezier", "round": 1, "variant": "baseline", "name": "rational_bezier_pi_conic_cubic_contacts", "iterations": 100, "total_ns": 19634174, "ns_per_iter": 196341.74, "output": "rational_bezier_pi_conic_cubic_contacts: 100 iterations in 19.634174ms (196.341µs/iter), checksum=100" }, { "fixture": "rational_bezier", "round": 1, "variant": "baseline", "name": "rational_bezier_algebraic_derivatives_1_through_3", "iterations": 250, "total_ns": 53476, "ns_per_iter": 213.904, "output": "rational_bezier_algebraic_derivatives_1_through_3: 250 iterations in 53.476µs (213ns/iter), checksum=750" }, { "fixture": "rational_bezier", "round": 1, "variant": "baseline", "name": "rational_bezier_exact_derivatives_1_through_3", "iterations": 20000, "total_ns": 115240689, "ns_per_iter": 5762.03445, "output": "rational_bezier_exact_derivatives_1_through_3: 20000 iterations in 115.240689ms (5.762µs/iter), checksum=60000" }, { "fixture": "rational_bezier", "round": 1, "variant": "baseline", "name": "rational_bezier_disjoint_conic_cubic_candidates", "iterations": 2000, "total_ns": 733969, "ns_per_iter": 366.9845, "output": "rational_bezier_disjoint_conic_cubic_candidates: 2000 iterations in 733.969µs (366ns/iter), checksum=2000" }, { "fixture": "rational_bezier", "round": 1, "variant": "baseline", "name": "rational_bezier_disjoint_conic_cubic_cold_contacts", "iterations": 2000, "total_ns": 693003, "ns_per_iter": 346.5015, "output": "rational_bezier_disjoint_conic_cubic_cold_contacts: 2000 iterations in 693.003µs (346ns/iter), checksum=2000" }, { "fixture": "rational_bezier", "round": 1, "variant": "baseline", "name": "rational_bezier_immediate_contacts", "iterations": 250, "total_ns": 4971430, "ns_per_iter": 19885.72, "output": "rational_bezier_immediate_contacts: 250 iterations in 4.97143ms (19.885µs/iter), checksum=250" }, { "fixture": "rational_bezier", "round": 1, "variant": "baseline", "name": "rational_bezier_immediate_topology", "iterations": 250, "total_ns": 26986190, "ns_per_iter": 107944.76, "output": "rational_bezier_immediate_topology: 250 iterations in 26.98619ms (107.944µs/iter), checksum=2000" }, { "fixture": "rational_bezier", "round": 1, "variant": "baseline", "name": "rational_bezier_exact_degree_elevation", "iterations": 1000, "total_ns": 25564668, "ns_per_iter": 25564.668, "output": "rational_bezier_exact_degree_elevation: 1000 curves in 25.564668ms (25.564µs/curve), checksum=8000" }, { "fixture": "rational_bezier", "round": 1, "variant": "baseline", "name": "rational_bezier_retained_degree_elevation", "iterations": 100000, "total_ns": 1255004, "ns_per_iter": 12.55004, "output": "rational_bezier_retained_degree_elevation: 100000 iterations in 1.255004ms (12ns/iter), checksum=800000" }, { "fixture": "rational_bezier", "round": 1, "variant": "baseline", "name": "rational_bezier_large_cold_evaluation_64_controls", "iterations": 10, "total_ns": 7334027, "ns_per_iter": 733402.7, "output": "rational_bezier_large_cold_evaluation_64_controls: 10 iterations in 7.334027ms (733.402µs/iter), checksum=0" }, { "fixture": "rational_bezier", "round": 1, "variant": "baseline", "name": "rational_bezier_large_cached_evaluation_64_controls", "iterations": 10, "total_ns": 116982, "ns_per_iter": 11698.2, "output": "rational_bezier_large_cached_evaluation_64_controls: 10 iterations in 116.982µs (11.698µs/iter), checksum=0" }, { "fixture": "rational_bezier", "round": 1, "variant": "baseline", "name": "rational_bezier_large_exact_split_64_controls", "iterations": 10, "total_ns": 6371863, "ns_per_iter": 637186.3, "output": "rational_bezier_large_exact_split_64_controls: 10 iterations in 6.371863ms (637.186µs/iter), checksum=0" }, { "fixture": "rational_bezier", "round": 1, "variant": "candidate", "name": "rational_bezier_exact_mixed_axis_monotonicity", "iterations": 250, "total_ns": 2525926, "ns_per_iter": 10103.704, "output": "rational_bezier_exact_mixed_axis_monotonicity: 250 curves in 2.525926ms (10.103µs/curve), checksum=250" }, { "fixture": "rational_bezier", "round": 1, "variant": "candidate", "name": "rational_bezier_exact_degree_12_axis_monotonicity", "iterations": 250, "total_ns": 151529, "ns_per_iter": 606.116, "output": "rational_bezier_exact_degree_12_axis_monotonicity: 250 curves in 151.529µs (606ns/curve), checksum=250" }, { "fixture": "rational_bezier", "round": 1, "variant": "candidate", "name": "rational_bezier_retained_mixed_axis_monotonicity", "iterations": 100000, "total_ns": 432071, "ns_per_iter": 4.32071, "output": "rational_bezier_retained_mixed_axis_monotonicity: 100000 iterations in 432.071µs (4ns/iter), checksum=100000" }, { "fixture": "rational_bezier", "round": 1, "variant": "candidate", "name": "rational_bezier_endpoint_sign_reversal_monotonicity", "iterations": 2000, "total_ns": 4618623, "ns_per_iter": 2309.3115, "output": "rational_bezier_endpoint_sign_reversal_monotonicity: 2000 curves in 4.618623ms (2.309µs/curve), checksum=0" }, { "fixture": "rational_bezier", "round": 1, "variant": "candidate", "name": "rational_bezier_cached_point_incidence", "iterations": 5000, "total_ns": 769867, "ns_per_iter": 153.9734, "output": "rational_bezier_cached_point_incidence: 5000 iterations in 769.867µs (153ns/iter), checksum=5000" }, { "fixture": "rational_bezier", "round": 1, "variant": "candidate", "name": "rational_bezier_retained_lineage_partial_overlap", "iterations": 5000, "total_ns": 18669310, "ns_per_iter": 3733.862, "output": "rational_bezier_retained_lineage_partial_overlap: 5000 iterations in 18.66931ms (3.733µs/iter), checksum=5000" }, { "fixture": "rational_bezier", "round": 1, "variant": "candidate", "name": "rational_bezier_algebraic_line_image_overlap", "iterations": 500, "total_ns": 6125050, "ns_per_iter": 12250.1, "output": "rational_bezier_algebraic_line_image_overlap: 500 iterations in 6.12505ms (12.25µs/iter), checksum=500" }, { "fixture": "rational_bezier", "round": 1, "variant": "candidate", "name": "rational_bezier_algebraic_polynomial_graph_overlap", "iterations": 250, "total_ns": 67059233.00000001, "ns_per_iter": 268236.93200000003, "output": "rational_bezier_algebraic_polynomial_graph_overlap: 250 iterations in 67.059233ms (268.236µs/iter), checksum=250" }, { "fixture": "rational_bezier", "round": 1, "variant": "candidate", "name": "rational_bezier_cached_basis_resultant", "iterations": 500, "total_ns": 10218959, "ns_per_iter": 20437.918, "output": "rational_bezier_cached_basis_resultant: 500 iterations in 10.218959ms (20.437µs/iter), checksum=1000" }, { "fixture": "rational_bezier", "round": 1, "variant": "candidate", "name": "rational_bezier_algebraic_contact_replay", "iterations": 250, "total_ns": 4915983, "ns_per_iter": 19663.932, "output": "rational_bezier_algebraic_contact_replay: 250 iterations in 4.915983ms (19.663µs/iter), checksum=250" }, { "fixture": "rational_bezier", "round": 1, "variant": "candidate", "name": "rational_bezier_pi_conic_cubic_contacts", "iterations": 100, "total_ns": 17948969, "ns_per_iter": 179489.69, "output": "rational_bezier_pi_conic_cubic_contacts: 100 iterations in 17.948969ms (179.489µs/iter), checksum=100" }, { "fixture": "rational_bezier", "round": 1, "variant": "candidate", "name": "rational_bezier_algebraic_derivatives_1_through_3", "iterations": 250, "total_ns": 44427, "ns_per_iter": 177.708, "output": "rational_bezier_algebraic_derivatives_1_through_3: 250 iterations in 44.427µs (177ns/iter), checksum=750" }, { "fixture": "rational_bezier", "round": 1, "variant": "candidate", "name": "rational_bezier_exact_derivatives_1_through_3", "iterations": 20000, "total_ns": 117226414, "ns_per_iter": 5861.3207, "output": "rational_bezier_exact_derivatives_1_through_3: 20000 iterations in 117.226414ms (5.861µs/iter), checksum=60000" }, { "fixture": "rational_bezier", "round": 1, "variant": "candidate", "name": "rational_bezier_disjoint_conic_cubic_candidates", "iterations": 2000, "total_ns": 685483, "ns_per_iter": 342.7415, "output": "rational_bezier_disjoint_conic_cubic_candidates: 2000 iterations in 685.483µs (342ns/iter), checksum=2000" }, { "fixture": "rational_bezier", "round": 1, "variant": "candidate", "name": "rational_bezier_disjoint_conic_cubic_cold_contacts", "iterations": 2000, "total_ns": 741119, "ns_per_iter": 370.5595, "output": "rational_bezier_disjoint_conic_cubic_cold_contacts: 2000 iterations in 741.119µs (370ns/iter), checksum=2000" }, { "fixture": "rational_bezier", "round": 1, "variant": "candidate", "name": "rational_bezier_immediate_contacts", "iterations": 250, "total_ns": 4754184, "ns_per_iter": 19016.736, "output": "rational_bezier_immediate_contacts: 250 iterations in 4.754184ms (19.016µs/iter), checksum=250" }, { "fixture": "rational_bezier", "round": 1, "variant": "candidate", "name": "rational_bezier_immediate_topology", "iterations": 250, "total_ns": 19059564, "ns_per_iter": 76238.256, "output": "rational_bezier_immediate_topology: 250 iterations in 19.059564ms (76.238µs/iter), checksum=2000" }, { "fixture": "rational_bezier", "round": 1, "variant": "candidate", "name": "rational_bezier_exact_degree_elevation", "iterations": 1000, "total_ns": 24465682, "ns_per_iter": 24465.682, "output": "rational_bezier_exact_degree_elevation: 1000 curves in 24.465682ms (24.465µs/curve), checksum=8000" }, { "fixture": "rational_bezier", "round": 1, "variant": "candidate", "name": "rational_bezier_retained_degree_elevation", "iterations": 100000, "total_ns": 1276592, "ns_per_iter": 12.76592, "output": "rational_bezier_retained_degree_elevation: 100000 iterations in 1.276592ms (12ns/iter), checksum=800000" }, { "fixture": "rational_bezier", "round": 1, "variant": "candidate", "name": "rational_bezier_large_cold_evaluation_64_controls", "iterations": 10, "total_ns": 6914936, "ns_per_iter": 691493.6, "output": "rational_bezier_large_cold_evaluation_64_controls: 10 iterations in 6.914936ms (691.493µs/iter), checksum=0" }, { "fixture": "rational_bezier", "round": 1, "variant": "candidate", "name": "rational_bezier_large_cached_evaluation_64_controls", "iterations": 10, "total_ns": 116402, "ns_per_iter": 11640.2, "output": "rational_bezier_large_cached_evaluation_64_controls: 10 iterations in 116.402µs (11.64µs/iter), checksum=0" }, { "fixture": "rational_bezier", "round": 1, "variant": "candidate", "name": "rational_bezier_large_exact_split_64_controls", "iterations": 10, "total_ns": 6463687, "ns_per_iter": 646368.7, "output": "rational_bezier_large_exact_split_64_controls: 10 iterations in 6.463687ms (646.368µs/iter), checksum=0" }, { "fixture": "rational_bezier", "round": 2, "variant": "baseline", "name": "rational_bezier_exact_mixed_axis_monotonicity", "iterations": 250, "total_ns": 2510968, "ns_per_iter": 10043.872, "output": "rational_bezier_exact_mixed_axis_monotonicity: 250 curves in 2.510968ms (10.043µs/curve), checksum=250" }, { "fixture": "rational_bezier", "round": 2, "variant": "baseline", "name": "rational_bezier_exact_degree_12_axis_monotonicity", "iterations": 250, "total_ns": 142520, "ns_per_iter": 570.08, "output": "rational_bezier_exact_degree_12_axis_monotonicity: 250 curves in 142.52µs (570ns/curve), checksum=250" }, { "fixture": "rational_bezier", "round": 2, "variant": "baseline", "name": "rational_bezier_retained_mixed_axis_monotonicity", "iterations": 100000, "total_ns": 426091, "ns_per_iter": 4.26091, "output": "rational_bezier_retained_mixed_axis_monotonicity: 100000 iterations in 426.091µs (4ns/iter), checksum=100000" }, { "fixture": "rational_bezier", "round": 2, "variant": "baseline", "name": "rational_bezier_endpoint_sign_reversal_monotonicity", "iterations": 2000, "total_ns": 4637972, "ns_per_iter": 2318.986, "output": "rational_bezier_endpoint_sign_reversal_monotonicity: 2000 curves in 4.637972ms (2.318µs/curve), checksum=0" }, { "fixture": "rational_bezier", "round": 2, "variant": "baseline", "name": "rational_bezier_cached_point_incidence", "iterations": 5000, "total_ns": 761148, "ns_per_iter": 152.2296, "output": "rational_bezier_cached_point_incidence: 5000 iterations in 761.148µs (152ns/iter), checksum=5000" }, { "fixture": "rational_bezier", "round": 2, "variant": "baseline", "name": "rational_bezier_retained_lineage_partial_overlap", "iterations": 5000, "total_ns": 18552228, "ns_per_iter": 3710.4456, "output": "rational_bezier_retained_lineage_partial_overlap: 5000 iterations in 18.552228ms (3.71µs/iter), checksum=5000" }, { "fixture": "rational_bezier", "round": 2, "variant": "baseline", "name": "rational_bezier_algebraic_line_image_overlap", "iterations": 500, "total_ns": 5676381, "ns_per_iter": 11352.762, "output": "rational_bezier_algebraic_line_image_overlap: 500 iterations in 5.676381ms (11.352µs/iter), checksum=500" }, { "fixture": "rational_bezier", "round": 2, "variant": "baseline", "name": "rational_bezier_algebraic_polynomial_graph_overlap", "iterations": 250, "total_ns": 64096385, "ns_per_iter": 256385.54, "output": "rational_bezier_algebraic_polynomial_graph_overlap: 250 iterations in 64.096385ms (256.385µs/iter), checksum=250" }, { "fixture": "rational_bezier", "round": 2, "variant": "baseline", "name": "rational_bezier_cached_basis_resultant", "iterations": 500, "total_ns": 10266966, "ns_per_iter": 20533.932, "output": "rational_bezier_cached_basis_resultant: 500 iterations in 10.266966ms (20.533µs/iter), checksum=1000" }, { "fixture": "rational_bezier", "round": 2, "variant": "baseline", "name": "rational_bezier_algebraic_contact_replay", "iterations": 250, "total_ns": 5079092, "ns_per_iter": 20316.368, "output": "rational_bezier_algebraic_contact_replay: 250 iterations in 5.079092ms (20.316µs/iter), checksum=250" }, { "fixture": "rational_bezier", "round": 2, "variant": "baseline", "name": "rational_bezier_pi_conic_cubic_contacts", "iterations": 100, "total_ns": 18027594, "ns_per_iter": 180275.94, "output": "rational_bezier_pi_conic_cubic_contacts: 100 iterations in 18.027594ms (180.275µs/iter), checksum=100" }, { "fixture": "rational_bezier", "round": 2, "variant": "baseline", "name": "rational_bezier_algebraic_derivatives_1_through_3", "iterations": 250, "total_ns": 45827, "ns_per_iter": 183.308, "output": "rational_bezier_algebraic_derivatives_1_through_3: 250 iterations in 45.827µs (183ns/iter), checksum=750" }, { "fixture": "rational_bezier", "round": 2, "variant": "baseline", "name": "rational_bezier_exact_derivatives_1_through_3", "iterations": 20000, "total_ns": 114405836, "ns_per_iter": 5720.2918, "output": "rational_bezier_exact_derivatives_1_through_3: 20000 iterations in 114.405836ms (5.72µs/iter), checksum=60000" }, { "fixture": "rational_bezier", "round": 2, "variant": "baseline", "name": "rational_bezier_disjoint_conic_cubic_candidates", "iterations": 2000, "total_ns": 687233, "ns_per_iter": 343.6165, "output": "rational_bezier_disjoint_conic_cubic_candidates: 2000 iterations in 687.233µs (343ns/iter), checksum=2000" }, { "fixture": "rational_bezier", "round": 2, "variant": "baseline", "name": "rational_bezier_disjoint_conic_cubic_cold_contacts", "iterations": 2000, "total_ns": 713001, "ns_per_iter": 356.5005, "output": "rational_bezier_disjoint_conic_cubic_cold_contacts: 2000 iterations in 713.001µs (356ns/iter), checksum=2000" }, { "fixture": "rational_bezier", "round": 2, "variant": "baseline", "name": "rational_bezier_immediate_contacts", "iterations": 250, "total_ns": 5089511, "ns_per_iter": 20358.044, "output": "rational_bezier_immediate_contacts: 250 iterations in 5.089511ms (20.358µs/iter), checksum=250" }, { "fixture": "rational_bezier", "round": 2, "variant": "baseline", "name": "rational_bezier_immediate_topology", "iterations": 250, "total_ns": 17884224, "ns_per_iter": 71536.896, "output": "rational_bezier_immediate_topology: 250 iterations in 17.884224ms (71.536µs/iter), checksum=2000" }, { "fixture": "rational_bezier", "round": 2, "variant": "baseline", "name": "rational_bezier_exact_degree_elevation", "iterations": 1000, "total_ns": 25353382, "ns_per_iter": 25353.382, "output": "rational_bezier_exact_degree_elevation: 1000 curves in 25.353382ms (25.353µs/curve), checksum=8000" }, { "fixture": "rational_bezier", "round": 2, "variant": "baseline", "name": "rational_bezier_retained_degree_elevation", "iterations": 100000, "total_ns": 1205207, "ns_per_iter": 12.05207, "output": "rational_bezier_retained_degree_elevation: 100000 iterations in 1.205207ms (12ns/iter), checksum=800000" }, { "fixture": "rational_bezier", "round": 2, "variant": "baseline", "name": "rational_bezier_large_cold_evaluation_64_controls", "iterations": 10, "total_ns": 6967333, "ns_per_iter": 696733.3, "output": "rational_bezier_large_cold_evaluation_64_controls: 10 iterations in 6.967333ms (696.733µs/iter), checksum=0" }, { "fixture": "rational_bezier", "round": 2, "variant": "baseline", "name": "rational_bezier_large_cached_evaluation_64_controls", "iterations": 10, "total_ns": 123791, "ns_per_iter": 12379.1, "output": "rational_bezier_large_cached_evaluation_64_controls: 10 iterations in 123.791µs (12.379µs/iter), checksum=0" }, { "fixture": "rational_bezier", "round": 2, "variant": "baseline", "name": "rational_bezier_large_exact_split_64_controls", "iterations": 10, "total_ns": 6684622, "ns_per_iter": 668462.2, "output": "rational_bezier_large_exact_split_64_controls: 10 iterations in 6.684622ms (668.462µs/iter), checksum=0" }, { "fixture": "rational_bezier", "round": 2, "variant": "candidate", "name": "rational_bezier_exact_mixed_axis_monotonicity", "iterations": 250, "total_ns": 2471680, "ns_per_iter": 9886.72, "output": "rational_bezier_exact_mixed_axis_monotonicity: 250 curves in 2.47168ms (9.886µs/curve), checksum=250" }, { "fixture": "rational_bezier", "round": 2, "variant": "candidate", "name": "rational_bezier_exact_degree_12_axis_monotonicity", "iterations": 250, "total_ns": 137781, "ns_per_iter": 551.124, "output": "rational_bezier_exact_degree_12_axis_monotonicity: 250 curves in 137.781µs (551ns/curve), checksum=250" }, { "fixture": "rational_bezier", "round": 2, "variant": "candidate", "name": "rational_bezier_retained_mixed_axis_monotonicity", "iterations": 100000, "total_ns": 426071, "ns_per_iter": 4.26071, "output": "rational_bezier_retained_mixed_axis_monotonicity: 100000 iterations in 426.071µs (4ns/iter), checksum=100000" }, { "fixture": "rational_bezier", "round": 2, "variant": "candidate", "name": "rational_bezier_endpoint_sign_reversal_monotonicity", "iterations": 2000, "total_ns": 4712267, "ns_per_iter": 2356.1335, "output": "rational_bezier_endpoint_sign_reversal_monotonicity: 2000 curves in 4.712267ms (2.356µs/curve), checksum=0" }, { "fixture": "rational_bezier", "round": 2, "variant": "candidate", "name": "rational_bezier_cached_point_incidence", "iterations": 5000, "total_ns": 763227, "ns_per_iter": 152.6454, "output": "rational_bezier_cached_point_incidence: 5000 iterations in 763.227µs (152ns/iter), checksum=5000" }, { "fixture": "rational_bezier", "round": 2, "variant": "candidate", "name": "rational_bezier_retained_lineage_partial_overlap", "iterations": 5000, "total_ns": 20327956, "ns_per_iter": 4065.5912, "output": "rational_bezier_retained_lineage_partial_overlap: 5000 iterations in 20.327956ms (4.065µs/iter), checksum=5000" }, { "fixture": "rational_bezier", "round": 2, "variant": "candidate", "name": "rational_bezier_algebraic_line_image_overlap", "iterations": 500, "total_ns": 6818622, "ns_per_iter": 13637.244, "output": "rational_bezier_algebraic_line_image_overlap: 500 iterations in 6.818622ms (13.637µs/iter), checksum=500" }, { "fixture": "rational_bezier", "round": 2, "variant": "candidate", "name": "rational_bezier_algebraic_polynomial_graph_overlap", "iterations": 250, "total_ns": 66108087.99999999, "ns_per_iter": 264432.35199999996, "output": "rational_bezier_algebraic_polynomial_graph_overlap: 250 iterations in 66.108088ms (264.432µs/iter), checksum=250" }, { "fixture": "rational_bezier", "round": 2, "variant": "candidate", "name": "rational_bezier_cached_basis_resultant", "iterations": 500, "total_ns": 10262876, "ns_per_iter": 20525.752, "output": "rational_bezier_cached_basis_resultant: 500 iterations in 10.262876ms (20.525µs/iter), checksum=1000" }, { "fixture": "rational_bezier", "round": 2, "variant": "candidate", "name": "rational_bezier_algebraic_contact_replay", "iterations": 250, "total_ns": 5768464, "ns_per_iter": 23073.856, "output": "rational_bezier_algebraic_contact_replay: 250 iterations in 5.768464ms (23.073µs/iter), checksum=250" }, { "fixture": "rational_bezier", "round": 2, "variant": "candidate", "name": "rational_bezier_pi_conic_cubic_contacts", "iterations": 100, "total_ns": 18392979, "ns_per_iter": 183929.79, "output": "rational_bezier_pi_conic_cubic_contacts: 100 iterations in 18.392979ms (183.929µs/iter), checksum=100" }, { "fixture": "rational_bezier", "round": 2, "variant": "candidate", "name": "rational_bezier_algebraic_derivatives_1_through_3", "iterations": 250, "total_ns": 46536, "ns_per_iter": 186.144, "output": "rational_bezier_algebraic_derivatives_1_through_3: 250 iterations in 46.536µs (186ns/iter), checksum=750" }, { "fixture": "rational_bezier", "round": 2, "variant": "candidate", "name": "rational_bezier_exact_derivatives_1_through_3", "iterations": 20000, "total_ns": 120380067, "ns_per_iter": 6019.00335, "output": "rational_bezier_exact_derivatives_1_through_3: 20000 iterations in 120.380067ms (6.019µs/iter), checksum=60000" }, { "fixture": "rational_bezier", "round": 2, "variant": "candidate", "name": "rational_bezier_disjoint_conic_cubic_candidates", "iterations": 2000, "total_ns": 708942, "ns_per_iter": 354.471, "output": "rational_bezier_disjoint_conic_cubic_candidates: 2000 iterations in 708.942µs (354ns/iter), checksum=2000" }, { "fixture": "rational_bezier", "round": 2, "variant": "candidate", "name": "rational_bezier_disjoint_conic_cubic_cold_contacts", "iterations": 2000, "total_ns": 704902, "ns_per_iter": 352.451, "output": "rational_bezier_disjoint_conic_cubic_cold_contacts: 2000 iterations in 704.902µs (352ns/iter), checksum=2000" }, { "fixture": "rational_bezier", "round": 2, "variant": "candidate", "name": "rational_bezier_immediate_contacts", "iterations": 250, "total_ns": 4933822, "ns_per_iter": 19735.288, "output": "rational_bezier_immediate_contacts: 250 iterations in 4.933822ms (19.735µs/iter), checksum=250" }, { "fixture": "rational_bezier", "round": 2, "variant": "candidate", "name": "rational_bezier_immediate_topology", "iterations": 250, "total_ns": 18205032, "ns_per_iter": 72820.128, "output": "rational_bezier_immediate_topology: 250 iterations in 18.205032ms (72.82µs/iter), checksum=2000" }, { "fixture": "rational_bezier", "round": 2, "variant": "candidate", "name": "rational_bezier_exact_degree_elevation", "iterations": 1000, "total_ns": 24648030, "ns_per_iter": 24648.03, "output": "rational_bezier_exact_degree_elevation: 1000 curves in 24.64803ms (24.648µs/curve), checksum=8000" }, { "fixture": "rational_bezier", "round": 2, "variant": "candidate", "name": "rational_bezier_retained_degree_elevation", "iterations": 100000, "total_ns": 1270302, "ns_per_iter": 12.70302, "output": "rational_bezier_retained_degree_elevation: 100000 iterations in 1.270302ms (12ns/iter), checksum=800000" }, { "fixture": "rational_bezier", "round": 2, "variant": "candidate", "name": "rational_bezier_large_cold_evaluation_64_controls", "iterations": 10, "total_ns": 7135721, "ns_per_iter": 713572.1, "output": "rational_bezier_large_cold_evaluation_64_controls: 10 iterations in 7.135721ms (713.572µs/iter), checksum=0" }, { "fixture": "rational_bezier", "round": 2, "variant": "candidate", "name": "rational_bezier_large_cached_evaluation_64_controls", "iterations": 10, "total_ns": 154600, "ns_per_iter": 15460, "output": "rational_bezier_large_cached_evaluation_64_controls: 10 iterations in 154.6µs (15.46µs/iter), checksum=0" }, { "fixture": "rational_bezier", "round": 2, "variant": "candidate", "name": "rational_bezier_large_exact_split_64_controls", "iterations": 10, "total_ns": 6434519, "ns_per_iter": 643451.9, "output": "rational_bezier_large_exact_split_64_controls: 10 iterations in 6.434519ms (643.451µs/iter), checksum=0" }, { "fixture": "rational_bezier", "round": 3, "variant": "baseline", "name": "rational_bezier_exact_mixed_axis_monotonicity", "iterations": 250, "total_ns": 2512208, "ns_per_iter": 10048.832, "output": "rational_bezier_exact_mixed_axis_monotonicity: 250 curves in 2.512208ms (10.048µs/curve), checksum=250" }, { "fixture": "rational_bezier", "round": 3, "variant": "baseline", "name": "rational_bezier_exact_degree_12_axis_monotonicity", "iterations": 250, "total_ns": 137251, "ns_per_iter": 549.004, "output": "rational_bezier_exact_degree_12_axis_monotonicity: 250 curves in 137.251µs (549ns/curve), checksum=250" }, { "fixture": "rational_bezier", "round": 3, "variant": "baseline", "name": "rational_bezier_retained_mixed_axis_monotonicity", "iterations": 100000, "total_ns": 426091, "ns_per_iter": 4.26091, "output": "rational_bezier_retained_mixed_axis_monotonicity: 100000 iterations in 426.091µs (4ns/iter), checksum=100000" }, { "fixture": "rational_bezier", "round": 3, "variant": "baseline", "name": "rational_bezier_endpoint_sign_reversal_monotonicity", "iterations": 2000, "total_ns": 4779473, "ns_per_iter": 2389.7365, "output": "rational_bezier_endpoint_sign_reversal_monotonicity: 2000 curves in 4.779473ms (2.389µs/curve), checksum=0" }, { "fixture": "rational_bezier", "round": 3, "variant": "baseline", "name": "rational_bezier_cached_point_incidence", "iterations": 5000, "total_ns": 756358, "ns_per_iter": 151.2716, "output": "rational_bezier_cached_point_incidence: 5000 iterations in 756.358µs (151ns/iter), checksum=5000" }, { "fixture": "rational_bezier", "round": 3, "variant": "baseline", "name": "rational_bezier_retained_lineage_partial_overlap", "iterations": 5000, "total_ns": 18442435, "ns_per_iter": 3688.487, "output": "rational_bezier_retained_lineage_partial_overlap: 5000 iterations in 18.442435ms (3.688µs/iter), checksum=5000" }, { "fixture": "rational_bezier", "round": 3, "variant": "baseline", "name": "rational_bezier_algebraic_line_image_overlap", "iterations": 500, "total_ns": 5648023, "ns_per_iter": 11296.046, "output": "rational_bezier_algebraic_line_image_overlap: 500 iterations in 5.648023ms (11.296µs/iter), checksum=500" }, { "fixture": "rational_bezier", "round": 3, "variant": "baseline", "name": "rational_bezier_algebraic_polynomial_graph_overlap", "iterations": 250, "total_ns": 65104996, "ns_per_iter": 260419.984, "output": "rational_bezier_algebraic_polynomial_graph_overlap: 250 iterations in 65.104996ms (260.419µs/iter), checksum=250" }, { "fixture": "rational_bezier", "round": 3, "variant": "baseline", "name": "rational_bezier_cached_basis_resultant", "iterations": 500, "total_ns": 10290075, "ns_per_iter": 20580.15, "output": "rational_bezier_cached_basis_resultant: 500 iterations in 10.290075ms (20.58µs/iter), checksum=1000" }, { "fixture": "rational_bezier", "round": 3, "variant": "baseline", "name": "rational_bezier_algebraic_contact_replay", "iterations": 250, "total_ns": 5062903, "ns_per_iter": 20251.612, "output": "rational_bezier_algebraic_contact_replay: 250 iterations in 5.062903ms (20.251µs/iter), checksum=250" }, { "fixture": "rational_bezier", "round": 3, "variant": "baseline", "name": "rational_bezier_pi_conic_cubic_contacts", "iterations": 100, "total_ns": 18040174, "ns_per_iter": 180401.74, "output": "rational_bezier_pi_conic_cubic_contacts: 100 iterations in 18.040174ms (180.401µs/iter), checksum=100" }, { "fixture": "rational_bezier", "round": 3, "variant": "baseline", "name": "rational_bezier_algebraic_derivatives_1_through_3", "iterations": 250, "total_ns": 45707, "ns_per_iter": 182.828, "output": "rational_bezier_algebraic_derivatives_1_through_3: 250 iterations in 45.707µs (182ns/iter), checksum=750" }, { "fixture": "rational_bezier", "round": 3, "variant": "baseline", "name": "rational_bezier_exact_derivatives_1_through_3", "iterations": 20000, "total_ns": 114616312, "ns_per_iter": 5730.8156, "output": "rational_bezier_exact_derivatives_1_through_3: 20000 iterations in 114.616312ms (5.73µs/iter), checksum=60000" }, { "fixture": "rational_bezier", "round": 3, "variant": "baseline", "name": "rational_bezier_disjoint_conic_cubic_candidates", "iterations": 2000, "total_ns": 691513, "ns_per_iter": 345.7565, "output": "rational_bezier_disjoint_conic_cubic_candidates: 2000 iterations in 691.513µs (345ns/iter), checksum=2000" }, { "fixture": "rational_bezier", "round": 3, "variant": "baseline", "name": "rational_bezier_disjoint_conic_cubic_cold_contacts", 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