{ "protocol": { "name": "CVP", "version": "1.0.0-proposed", "revision": "2026-09-13", "spec_sha256": "f62725968356c92930531cd6085db76e216da06e95be53d636b0d2cf3218b148", "spec": "https://www.calculatorx.com/developers/cvp/spec/1.0" }, "document_status": "proposed", "calculator": { "id": "monte-carlo-tolerance", "version": "1.12.0", "title": "Monte Carlo Tolerance Analysis Calculator", "formula_family": "tolerance-monte-carlo", "capability_id": "engineering.tolerance.monte_carlo", "verification_revision": "2026-09-16.o3-analytic" }, "profile": "engineering", "verified_scope": "O2-A analytic σ/moments/Cp* and O2-B seeded mulberry32+Box-Muller replay of mean/std/percentiles/yield + O3 mpmath tabulated analytic σ. NORTA sampling and Sobol/Shapley remain Evidence regression.", "deferred_scope": "NORTA sampling, Sobol, and Shapley remain Evidence regression. O3 does not cover seeded MC statistics, Gaussian copula, or GD&T/3-D chains.", "status": "STALE", "verification_status": "VERIFIED", "production_freshness": "STALE", "overall_trust": "VERIFIED_STALE", "runner": { "name": "cvp-runner", "version": "1.0.0" }, "environment": { "runtime": "node", "runtime_version": "20.19.2", "numeric_model": "IEEE-754 binary64", "os": "darwin" }, "suite": { "id": "monte-carlo-tolerance", "version": "1.12.0", "uri": "https://www.calculatorx.com/evidence/engineering.tolerance.monte_carlo/1.12.0.json", "verification_revision": "2026-09-16.o3-analytic" }, "obligation_set": [ "CVP-PROV-01", "CVP-MODEL-01", "CVP-SCOPE-01", "CVP-UNIT-01", "CVP-REF-01", "CVP-GOLD-01", "CVP-BND-01", "CVP-INV-01", "CVP-NUM-01", "CVP-COV-01", "CVP-CONTRACT-01", "CVP-DEP-01", "CVP-ART-01", "CVP-PROD-01", "CVP-DIM-01", "CVP-PROP-01", "CVP-IFACE-01" ], "provenance": { "mode": "direct", "sources": [ { "label": "NIST IR 6223 — Design for Tolerance of Electro-Mechanical Assemblies", "kind": "other", "reference": "Monte Carlo for assembly tolerance analysis", "url": "https://nvlpubs.nist.gov/nistpubs/Legacy/IR/nistir6223.pdf" }, { "label": "ASME Y14.5 — Dimensioning and Tolerancing", "kind": "standard", "reference": "Dimensional tolerancing semantics", "url": "https://www.asme.org/codes-standards/find-codes-standards/y14-5-dimensioning-tolerancing" }, { "label": "NIST Engineering Statistics Handbook — Process Capability", "kind": "other", "reference": "6.1.6 What is Process Capability?", "url": "https://www.itl.nist.gov/div898/handbook/pmc/section1/pmc16.htm" }, { "label": "Statistical tolerance analysis practice", "kind": "other", "reference": "RSS, correlation, sensitivity, capability" } ] }, "reference": { "items": [ { "class": "O1", "reference_scope": "model", "scope": "model", "label": "Monte Carlo tolerance stack (analytic σ + seeded MC O2)" }, { "class": "O3", "reference_scope": "expected_values", "scope": "expected_values", "label": "Precomputed mpmath high-precision analytic σ (80 dps) rounded to nearest binary64 — not V8 hypot and not seeded MC", "engine": { "name": "monte-carlo-tolerance-mpmath-o3", "precision_bits": 265, "independent_of_iut": true, "same_runtime_as_iut": false, "library": "mpmath 1.4.1", "mpmath_dps": 80, "generator_version": "1.0.0", "generator_sha256": "6deea0c22b418a9f2a6d91717a56e6c78d4e5a6f5080bb0466c70ee17d2a2472", "table_sha256": "7f83070e2f17e5b7451361c3bdae659c6d2a3e9a753b0775bc082d5d1debd8ef", "seed": "20260916.mc-o3", "source": "https://www.calculatorx.com/developers/cvp/reproduce/monte-carlo-tolerance-o3-tables.json", "public_table": "/developers/cvp/reproduce/monte-carlo-tolerance-o3-tables.json", "public_generator": "/developers/cvp/reproduce/generate-monte-carlo-tolerance-o3.py" } }, { "class": "O3", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O3 table vs IUT std_analytic / stack_center; ≤2 ULP on tabulated analytic vectors only", "engine": { "name": "monte-carlo-tolerance-mpmath-o3", "precision_bits": 265, "independent_of_iut": true, "same_runtime_as_iut": false, "library": "mpmath 1.4.1", "mpmath_dps": 80, "generator_version": "1.0.0", "generator_sha256": "6deea0c22b418a9f2a6d91717a56e6c78d4e5a6f5080bb0466c70ee17d2a2472", "table_sha256": "7f83070e2f17e5b7451361c3bdae659c6d2a3e9a753b0775bc082d5d1debd8ef", "seed": "20260916.mc-o3", "source": "https://www.calculatorx.com/developers/cvp/reproduce/monte-carlo-tolerance-o3-tables.json", "public_table": "/developers/cvp/reproduce/monte-carlo-tolerance-o3-tables.json", "public_generator": "/developers/cvp/reproduce/generate-monte-carlo-tolerance-o3.py" } }, { "class": "O2", "reference_scope": "expected_values", "scope": "expected_values", "label": "Separate-module Monte Carlo analytic-σ + seeded-MC oracle — same V8 binary64 as IUT", "engine": { "name": "monte-carlo-tolerance-reference", "precision_bits": 53, "independent_of_iut": true, "same_runtime_as_iut": true, "algorithms": [ "mulberry32", "box-muller" ] } }, { "class": "O2", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O2 module backs ≤2 ULP analytic σ and seeded MC statistic comparison vs IUT", "engine": { "name": "monte-carlo-tolerance-reference", "precision_bits": 53, "independent_of_iut": true, "same_runtime_as_iut": true, "algorithms": [ "mulberry32", "box-muller" ] } } ], "notes": "Golden expected values use a separate O2 module (not IUT transcription). O2 shares Node/V8 binary64 with the IUT unless noted otherwise." }, "controls": { "CVP-PROV-01": { "result": "PASS", "applicability": "required", "notes": "Sources present on evidence" }, "CVP-MODEL-01": { "result": "PASS", "applicability": "required", "notes": "O2-A analytic σ/moments/Cp*; O2-B seeded MC mean/std/percentiles/yield; O3 tabulated analytic σ; NORTA/Sobol/Shapley remain Evidence regression" }, "CVP-SCOPE-01": { "result": "PASS", "applicability": "required", "notes": "1-D MC stack; independent oracle covers analytic identities + seeded independent/joint-normal sampling; O3 covers tabulated analytic σ only" }, "CVP-UNIT-01": { "result": "PASS", "applicability": "required", "notes": "Unit string optional" }, "CVP-REF-01": { "result": "PASS", "applicability": "required", "notes": "O1 model + O2 expected_values + O2 numerical_behavior (analytic + seeded MC) + O3 tabulated analytic σ" }, "CVP-GOLD-01": { "result": "PASS", "applicability": "required", "notes": "5/5 legacy golden; 5/5 oracle-backed numeric" }, "CVP-BND-01": { "result": "PASS", "applicability": "required", "notes": "25/25 CVP boundary · 26/26 legacy Evidence boundary" }, "CVP-INV-01": { "result": "PASS", "applicability": "required", "notes": "8 Evidence illegal-input + 5/5 oracle-backed error-code (exact_error_match, not ULP)" }, "CVP-NUM-01": { "result": "PASS", "applicability": "required", "notes": "max_error_observed_ulp=1; policy declared a priori" }, "CVP-COV-01": { "result": "PASS", "applicability": "required", "notes": "13/13 semantic partitions (normal-independent, normal-correlated, non-normal, norta-correlated, asymmetric, mean-shift, yield-capability, sensitivity-ranking, sobol, shapley, reproducibility, large-N, invalid-domain)" }, "CVP-CONTRACT-01": { "result": "PASS", "applicability": "required", "notes": "8/8 CVP contract" }, "CVP-DEP-01": { "result": "PASS", "applicability": "required", "notes": "engine monte-carlo-tolerance; Node binary64" }, "CVP-ART-01": { "result": "PASS", "applicability": "required", "notes": "release_integrity.status=verified · digests: artifact_evidence_sha256=Evidence core (Trust freshness) · cvp_evidence_digest=artifacts.evidence_digest (fingerprint v2) · evidence_bundle_sha256=legacy Evidence JSON bytes · evidence_catalog_digest=attested_catalog_sha256 · production_sha256=bound production report · see artifacts.digest_registry" }, "CVP-PROD-01": { "result": "PASS", "applicability": "required", "notes": "STALE (freshness / digest drift after last PASS snapshot) · site report stale · local checks pass · local production checks PASS; site attestation is not CURRENT — final status must stay STALE, not VERIFIED · attestation_id=1fdd351e49d9a9103d52e8d4d216269454fafffce59ccada2570a57ac43a6b27 · This calculator STALE · This calculator is not affected · Bound attestation PASS @ 2026-09-14T00:43:05.498Z · Live production status STALE (4 capabilities; 153 remain CURRENT) @ 2026-09-16T02:28:24.159Z · Public schema 1.12.0 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓ · schema_const=1.12.0 · report output-const=pass · evidence-sha256=pass · semantic-contract=pass · capability-html-public-origin-agree=pass · cvp-manifest-public-origin-agree=pass · cvp-latest-alias-agrees=pass · cvp-immutable-manifest-fetch=pass · cvp-immutable-manifest-sha256=pass · cvp-latest-alias-matches-immutable=pass · calculator-html-cvp-projection=pass · evidence-html-cvp-projection=pass · attested_evidence_sha256=3c45d14ff1258b0eea59837f3942585dd6825ab0585ca7cb85b4608e08c1f590 · verified_at=2026-09-16T02:55:45.474Z · evidence_attested_at=2026-09-16T02:55:45.474Z · last_confirmed_current_at=2026-09-16T02:55:45.474Z · rendered_at=2026-09-16T02:55:45.474Z · binds=cvp_core_sha256 · attestation snapshot core 2fc4f3fe9b86 ≠ live cvp_core_sha256 964fa4df8516 (2026-09-16.o3-analytic)", "check_result": "PASS", "production_state": "STALE", "binding_current": false }, "CVP-DIM-01": { "result": "PASS", "applicability": "applicable", "notes": "Tolerance stack statistics" }, "CVP-PROP-01": { "result": "PASS", "applicability": "applicable", "notes": "40/40 property · enumerated fixed assertions (not generated; no seed)" }, "CVP-META-01": { "result": "SKIP", "applicability": "not_applicable", "notes": "No input→output transformation vectors in pack — control not in obligation set" }, "CVP-ROUND-01": { "result": "SKIP", "applicability": "not_applicable", "notes": "No inverse / round-trip vectors in pack — control not in obligation set" }, "CVP-XCAL-01": { "result": "SKIP", "applicability": "not_applicable", "notes": "No related calculator in the same formula family / no related-identity peers declared — control not in obligation set" }, "CVP-IFACE-01": { "result": "PASS", "applicability": "applicable", "notes": "UI (SSR) · REST · MCP equivalent (MCP uses calc API handler). ui-ssr is query-result HTML, not a live browser session." }, "CVP-ORACLE-01": { "result": "PASS", "applicability": "higher_assurance", "notes": "O3 8/8 tabulated vectors vs IUT · O2-A: analytic σ / moments / Cp* Cpk* vs separate-module identities (≤2 ULP). O2-B: seeded mulberry32+Box-Muller replay of mean/std/percentiles/yield (≤2 ULP). Not measured SPC. NORTA Pearson ≠ latent ρ; NORTA sampling remains Evidence regression. ≤2 ULP vs O3 applies only to the published tabulated analytic σ / moments / stack_center vectors (independent normal, correlated normal, gap, uniform, asymmetric uniform, triangular, k=1 3-4-5, single). Seeded MC statistics, NORTA, Sobol, and Shapley are not O3-compared." }, "CVP-EXP-01": { "result": "SKIP", "applicability": "optional", "notes": "CalculatorX internal domain review — not CVP-EXP-01" } }, "tests": { "golden": { "passed": 5, "total": 5, "failed": 0, "case_ids": [ "g-mc", "g-corr", "g-gap", "g-uniform", "g-asym" ] }, "boundary": { "passed": 25, "total": 25, "failed": 0, "case_ids": [ "bad-N", "empty", "boundary-mc", "boundary-mc-canonical", "boundary-mc-gap", "boundary-mc-corr", "boundary-mc-shift", "boundary-mc-corr-uniform", "boundary-mc-uniform", "boundary-mc-one", "boundary-mc-ten", "boundary-mc-k6", "boundary-mc-zero-pad", "boundary-mc-N-hi", "boundary-mc-empty", "boundary-mc-k-bad", "boundary-mc-usl-lsl", "boundary-mc-asym-uniform", "boundary-mc-sens-pearson", "boundary-mc-sobol-corr", "boundary-mc-sobol", "boundary-mc-shapley", "boundary-mc-shapley-corr", "boundary-mc-spec-mismatch", "boundary-mc-yield-extreme" ] }, "invalid": { "passed": 13, "total": 13, "failed": 0, "case_ids": [ "bad-N", "empty", "boundary-mc-N-hi", "boundary-mc-empty", "boundary-mc-k-bad", "boundary-mc-usl-lsl", "boundary-mc-sens-bad", "boundary-mc-sobol-corr", "inv-N", "inv-N-hi", "inv-empty", "inv-k", "inv-usl-lsl" ], "comparison": "exact_error_match", "records": [ { "id": "inv-N", "comparison": "exact_error_match", "expected": { "code": "VALUE_OUT_OF_RANGE" }, "actual": { "code": "VALUE_OUT_OF_RANGE" }, "match": true }, { "id": "inv-N-hi", "comparison": "exact_error_match", "expected": { "code": "VALUE_OUT_OF_RANGE" }, "actual": { "code": "VALUE_OUT_OF_RANGE" }, "match": true }, { "id": "inv-empty", "comparison": "exact_error_match", "expected": { "code": "MISSING_REQUIRED_INPUT" }, "actual": { "code": "MISSING_REQUIRED_INPUT" }, "match": true }, { "id": "inv-k", "comparison": "exact_error_match", "expected": { "code": "VALUE_MUST_BE_POSITIVE" }, "actual": { "code": "VALUE_MUST_BE_POSITIVE" }, "match": true }, { "id": "inv-usl-lsl", "comparison": "exact_error_match", "expected": { "code": "VALUE_OUT_OF_RANGE" }, "actual": { "code": "VALUE_OUT_OF_RANGE" }, "match": true } ] }, "property": { "passed": 40, "total": 40, "failed": 0, "case_ids": [ "property-seeded", "property-std", "property-analytic", "property-mc-near-analytic", "property-canonical", "property-permute-analytic", "property-scale-analytic", "property-k1", "property-all-zero", "property-seed-differs", "property-convergence", "property-rng-meta", "property-central95", "property-stack-rss", "property-100-tols", "property-gap-nom", "property-yield", "property-corr-analytic", "property-corr-mc-near-analytic", "property-mean-shift", "property-sense-alias", "property-uniform", "property-triangular", "property-asym-mean", "property-sensitivity", "property-convergence-meta", "property-pearson", "property-spec-mismatch-warn", "property-gap-no-mismatch", "property-yield-extreme-warn", "property-fingerprint", "property-sobol-exact", "property-shapley-indep", "property-shapley-corr", "property-norta", "property-share-url-noms", "property-legacy-tol-nom0", "property-parity-fingerprint", "property-fingerprint-stable", "property-mcp-summary-fields" ], "kind": "fixed", "claim_scope": "Enumerated fixed Evidence properties (seed lock, RNG meta, yield, NORTA, Sobol/Shapley, fingerprint). Not generated; no seed or generator_version." }, "round_trip": { "passed": 0, "total": 0, "failed": 0, "case_ids": [] }, "metamorphic": { "passed": 0, "total": 0, "failed": 0, "case_ids": [] }, "contract": { "passed": 8, "total": 8, "failed": 0 }, "cross_interface": { "passed": 12, "total": 12, "failed": 0, "case_ids": [ "iface-normal-independent", "iface-normal-correlated", "iface-non-normal", "iface-norta-correlated", "iface-asymmetric", "iface-mean-shift", "iface-yield-capability", "iface-sensitivity-ranking", "iface-sobol", "iface-shapley", "iface-reproducibility", "iface-large-N" ] }, "o3": { "passed": 8, "total": 8, "failed": 0, "case_ids": [ "o3-mc", "o3-corr", "o3-gap", "o3-uniform", "o3-asym", "o3-tri", "o3-pythag", "o3-one" ], "generator_id": "monte-carlo-tolerance-mpmath-o3", "seed": "20260916.mc-o3", "table_sha256": "7f83070e2f17e5b7451361c3bdae659c6d2a3e9a753b0775bc082d5d1debd8ef", "max_error_ulp": 1, "reproduce": "python3 generate-monte-carlo-tolerance-o3.py", "table_url": "/developers/cvp/reproduce/monte-carlo-tolerance-o3-tables.json", "generator_url": "/developers/cvp/reproduce/generate-monte-carlo-tolerance-o3.py", "claim_scope": "O2-A: analytic σ / moments / Cp* Cpk* vs separate-module identities (≤2 ULP). O2-B: seeded mulberry32+Box-Muller replay of mean/std/percentiles/yield (≤2 ULP). Not measured SPC. NORTA Pearson ≠ latent ρ; NORTA sampling remains Evidence regression. ≤2 ULP vs O3 applies only to the published tabulated analytic σ / moments / stack_center vectors (independent normal, correlated normal, gap, uniform, asymmetric uniform, triangular, k=1 3-4-5, single). Seeded MC statistics, NORTA, Sobol, and Shapley are not O3-compared.", "reproduce_url": "https://www.calculatorx.com/evidence/engineering.tolerance.monte_carlo/reproduce" } }, "coverage": { "partitions": [ { "id": "normal-independent", "description": "Independent symmetric normal stack", "exercised": true, "case_count": 41 }, { "id": "normal-correlated", "description": "Joint-normal / Cholesky correlation", "exercised": true, "case_count": 5 }, { "id": "non-normal", "description": "Independent uniform or triangular marginals", "exercised": true, "case_count": 10 }, { "id": "norta-correlated", "description": "Gaussian-copula NORTA (non-normal + ρ)", "exercised": true, "case_count": 2 }, { "id": "asymmetric", "description": "Asymmetric +Tol/−Tol", "exercised": true, "case_count": 5 }, { "id": "mean-shift", "description": "Process / mean shift", "exercised": true, "case_count": 2 }, { "id": "yield-capability", "description": "LSL/USL yield and simulated Cp*/Cpk*", "exercised": true, "case_count": 11 }, { "id": "sensitivity-ranking", "description": "Spearman / Pearson ranking", "exercised": true, "case_count": 3 }, { "id": "sobol", "description": "Sobol first-order / total indices", "exercised": true, "case_count": 2 }, { "id": "shapley", "description": "Shapley variance attribution", "exercised": true, "case_count": 4 }, { "id": "reproducibility", "description": "Seed / PRNG / fingerprint lock", "exercised": true, "case_count": 7 }, { "id": "large-N", "description": "Convergence / larger N", "exercised": true, "case_count": 7 }, { "id": "invalid-domain", "description": "Invalid inputs", "exercised": true, "case_count": 13 } ] }, "numerical": { "representation": "IEEE-754 binary64", "claim_scope": "O2-A: analytic σ / moments / Cp* Cpk* vs separate-module identities (≤2 ULP). O2-B: seeded mulberry32+Box-Muller replay of mean/std/percentiles/yield (≤2 ULP). Not measured SPC. NORTA Pearson ≠ latent ρ; NORTA sampling remains Evidence regression. ≤2 ULP vs O3 applies only to the published tabulated analytic σ / moments / stack_center vectors (independent normal, correlated normal, gap, uniform, asymmetric uniform, triangular, k=1 3-4-5, single). Seeded MC statistics, NORTA, Sobol, and Shapley are not O3-compared.", "tolerance": { "type": "ulp", "value": 2, "rationale": "Independent analytic σ and seeded MC replay vs IUT on same V8 binary64. ≤2 ULP declared a priori. NORTA sampling is not in this O2 compare.", "declared_before_evaluation": true }, "max_error_observed": 1, "records": [ { "id": "g-mc", "reference": { "mode": "monte_carlo", "N": 2000, "seed": 42, "k_sigma": 3, "n": 2, "half_tolerances": [ 0.1, 0.2 ], "correlated": false, "correlation_model": null, "stack_nom": 0, "stack_shift": 0, "stack_dist_mean": 0, "stack_center": 0, "std_analytic": 0.07453559924999299, "rng": { "algorithm": "mulberry32", "normal_sampler": "box-muller", "version": "1.0", "seed": 42 }, "oracle_layer": "analytic+seeded-mc", "mean": 0.00027942046066928717, "std": 0.07431402402418098, "p05": -0.1243487198389368, "p50": 0.0006320186234671336, "p95": 0.12167142849463117, "sample_pearson": -0.012043696085505803 }, "actual": { "mode": "monte_carlo", "profile": "basic", "n": 2, "N": 2000, "seed": 42, "k_sigma": 3, "unit": null, "correlated": false, "correlation_model": null, "correlations": [], "sensitivity_method": "spearman", "sensitivity_metric": "ranking", "sobol_N": null, "shapley_N": null, "sobol": null, "shapley": null, "tol": [ 0.1, 0.2 ], "half_tolerances": [ 0.1, 0.2 ], "tolerances": [ { "name": "T1", "nominal": 0, "half_tolerance": 0.1, "tol_plus": 0.1, "tol_minus": 0.1, "asymmetric": false, "coefficient": 1, "distribution": "normal", "mean_shift": 0, "error_mean": 0, "error_std": 0.03333333333333333 }, { "name": "T2", "nominal": 0, "half_tolerance": 0.2, "tol_plus": 0.2, "tol_minus": 0.2, "asymmetric": false, "coefficient": 1, "distribution": "normal", "mean_shift": 0, "error_mean": 0, "error_std": 0.06666666666666667 } ], "stack_nom": 0, "stack_shift": 0, "stack_dist_mean": 0, "stack_center": 0, "mean": 0.00027942046066928717, "std": 0.07431402402418098, "std_analytic": 0.07453559924999299, "std_rel_err": -0.002972743602273117, "contributors": [ { "name": "T1", "sigma": 0.03333333333333333, "variance_share": 0.19999999999999998, "percent": 19.999999999999996, "sensitivity": 0.43122055780513946, "sensitivity_share": 19.211112318025574, 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"capability_normal_equivalent": true, "simulated_Cp": null, "simulated_Cpk": null, "yield_sampling": null, "warnings": [], "calculation_fingerprint": "sha256:955dc4f7db524fd3068e9d622b00b5835f98a3a1e4ccd6801a2c49f5254431df", "calculation_short_id": "fnv1a32:378e2ed3", "rng": { "algorithm": "mulberry32", "normal_sampler": "box-muller", "version": "1.0", "seed": 1 }, "histogram": { "bins": 24, "min": -1.1968348088343386, "max": 1.5239373158772258, "counts": [ 4, 2, 4, 3, 8, 8, 10, 12, 14, 23, 19, 11, 23, 13, 9, 11, 7, 10, 6, 1, 0, 1, 0, 1 ] } }, "error_ulp": 0, "threshold_ulp": 2, "fields": { "std_analytic": { "ok": true, "error_ulp": 0 }, "stack_dist_mean": { "ok": true, "error_ulp": 0 }, "stack_center": { "ok": true, "error_ulp": 0 } }, "suite": "o3" }, { "id": "o3-one", "reference": { "oracle_layer": "analytic", "std_analytic": 0.09999999999999999, "stack_nom": 0, "stack_dist_mean": 0, "stack_center": 0 }, "actual": { "mode": "monte_carlo", "profile": "basic", "n": 1, "N": 200, "seed": 1, "k_sigma": 3, "unit": null, "correlated": false, "correlation_model": null, "correlations": [], "sensitivity_method": "spearman", "sensitivity_metric": "ranking", "sobol_N": null, "shapley_N": null, "sobol": null, "shapley": null, "tol": [ 0.3 ], "half_tolerances": [ 0.3 ], "tolerances": [ { "name": "T1", "nominal": 0, "half_tolerance": 0.3, "tol_plus": 0.3, "tol_minus": 0.3, "asymmetric": false, "coefficient": 1, "distribution": "normal", "mean_shift": 0, "error_mean": 0, "error_std": 0.09999999999999999 } ], "stack_nom": 0, "stack_shift": 0, "stack_dist_mean": 0, "stack_center": 0, "mean": 0.012677756672132272, "std": 0.10179341134116256, "std_analytic": 0.09999999999999999, "std_rel_err": 0.017934113411625652, "contributors": [ { "name": "T1", "sigma": 0.09999999999999999, "variance_share": 1, "percent": 100, "sensitivity": 1, "sensitivity_share": 100, "sensitivity_method": "spearman" } ], "convergence": [ { "N": 100, "std": 0.09908603254536211, "mean": 0.02082431107275392, "rel_err_vs_analytic": -0.009139674546378845 }, { "N": 200, "std": 0.1017934113411625, "mean": 0.012677756672132287, "rel_err_vs_analytic": 0.017934113411625097 } ], "p025": -0.17940868186336836, "p05": -0.1501701829156665, "p50": 0.02188929526319359, "p95": 0.16755961116243268, "p975": 0.20419914542816128, "p99": 0.26011200691561687, "stack_worst": 0.3, "stack_rss": 0.3, "LSL": null, "USL": null, "yield": null, "reject_rate": null, "ppm_below": null, "ppm_above": null, "ppm_total": null, "below_count": null, "above_count": null, "in_spec_count": null, "Cp": null, "Cpl": null, "Cpu": null, "Cpk": null, "Ppk": null, "capability_basis": null, "capability_normal_equivalent": true, "simulated_Cp": null, "simulated_Cpk": null, "yield_sampling": null, "warnings": [], "calculation_fingerprint": "sha256:3516832d832351d18a958af4d0702a8a071f42c81f88ed7e06eb42f3b74c8345", "calculation_short_id": "fnv1a32:06ac77d3", "rng": { "algorithm": "mulberry32", "normal_sampler": "box-muller", "version": "1.0", "seed": 1 }, "histogram": { "bins": 24, "min": -0.2959158652825782, "max": 0.2656438731808044, "counts": [ 1, 0, 2, 1, 2, 4, 1, 10, 20, 12, 14, 10, 9, 25, 19, 13, 17, 16, 10, 6, 2, 2, 2, 2 ] } }, "error_ulp": 0, "threshold_ulp": 2, "fields": { "std_analytic": { "ok": true, "error_ulp": 0 }, "stack_dist_mean": { "ok": true, "error_ulp": 0 }, "stack_center": { "ok": true, "error_ulp": 0 } }, "suite": "o3" } ] }, "interfaces": { "compared": [ "ui-ssr", "rest", "mcp" ], "result": "PASS", "notes": "UI (SSR) · REST · MCP equivalent (MCP uses calc API handler). ui-ssr is query-result HTML, not a live browser session." }, "artifacts": { "evidence_bundle_sha256": "89bbe51508ab64e3b51d5238fcfa74cf085e70a04db6ba236748329d2266d546", "evidence_digest": "964fa4df85165110a5fdd19d1b368dcf725aa497666a31f5bcd19a223041d3a5", "production_sha256": "3c45d14ff1258b0eea59837f3942585dd6825ab0585ca7cb85b4608e08c1f590", "attested_catalog_sha256": "d7330775e814d9fe1f97af28b52db2ecba2f32e2e3e82f08076f10a72d85c01b", "production_checks": [ { "id": "engineering.tolerance.monte_carlo:output-const", "status": "pass", "detail": "output const 1.12.0 vs capability 1.12.0", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-09-16T02:55:45.474Z", "attestation_revision": "core" }, { "id": "engineering.tolerance.monte_carlo:evidence-sha256", "status": "pass", "detail": "30a8f1ad6fe3", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-09-16T02:55:45.474Z", "attestation_revision": "core" }, { "id": "engineering.tolerance.monte_carlo:semantic-contract", "status": "pass", "detail": "71/71", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-09-16T02:55:45.474Z", "attestation_revision": "core" }, { "id": "engineering.tolerance.monte_carlo:capability-html-public-origin-agree", "status": "pass", "detail": "public 1.12.0 vs origin 1.12.0", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-09-16T02:55:45.474Z", "attestation_revision": "core" }, { "id": "engineering.tolerance.monte_carlo:cvp-manifest-public-origin-agree", "status": "pass", "detail": "engineering.tolerance.monte_carlo/1.12.0/2026-09-16.o3-analytic/engineering/964fa4df8516", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-09-16T02:55:45.474Z", "attestation_revision": "core", "projection_compared": false }, { "id": "engineering.tolerance.monte_carlo:cvp-latest-alias-agrees", "status": "pass", "detail": "engineering.tolerance.monte_carlo/1.12.0/2026-09-16.o3-analytic/engineering/964fa4df8516", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-09-16T02:55:45.474Z", "attestation_revision": "core", "projection_compared": false }, { "id": "engineering.tolerance.monte_carlo:cvp-immutable-manifest-fetch", "status": "pass", "detail": "public=200 origin=200", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-09-16T02:55:45.474Z", "attestation_revision": "core" }, { "id": "engineering.tolerance.monte_carlo:cvp-immutable-manifest-sha256", "status": "pass", "detail": "2fc4f3fe9b86", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-09-16T02:55:45.474Z", "attestation_revision": "core" }, { "id": "engineering.tolerance.monte_carlo:cvp-latest-alias-matches-immutable", "status": "pass", "detail": "engineering.tolerance.monte_carlo/1.12.0/2026-09-16.o3-analytic/engineering/964fa4df8516", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-09-16T02:55:45.474Z", "attestation_revision": "core", "projection_compared": false }, { "id": "engineering.tolerance.monte_carlo:calculator-html-cvp-projection", "status": "pass", "detail": "matches Trust display", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-09-16T02:55:45.474Z", "attestation_revision": "core" }, { "id": "engineering.tolerance.monte_carlo:evidence-html-cvp-projection", "status": "pass", "detail": "matches Trust display", "scope": "last_attestation_snapshot", "current": false, "attestation_binding_current": false, "attested_at": "2026-09-16T02:55:45.474Z", "attestation_revision": "core" } ], "digest_registry": { "digest_algorithm": "sha256", "canonicalization": "json-sorted-keys-utf8", "entries": [ { "name": "cvp_core_sha256", "field": "artifacts.cvp_core_sha256", "digest_scope": "cvp_verification_fingerprint_v2", "value": "964fa4df85165110a5fdd19d1b368dcf725aa497666a31f5bcd19a223041d3a5", "note": "Immutable verification core; excludes attestation/live-status and Evidence contract counts" }, { "name": "cvp_evidence_digest", "field": "artifacts.evidence_digest", "digest_scope": "cvp_verification_fingerprint_v2", "value": "964fa4df85165110a5fdd19d1b368dcf725aa497666a31f5bcd19a223041d3a5", "note": "Alias of cvp_core_sha256 (historical field name)" }, { "name": "artifact_evidence_sha256", "field": "release_integrity.digests.evidence_core_sha256", "digest_scope": "evidence_artifact_core", "value": "30a8f1ad6fe3df4af69da2a2ac605ea9c8e05793f23b1d5465828c15cb5c9c68", "note": "Published Evidence JSON core — Trust freshness / production bind subject" }, { "name": "evidence_catalog_digest", "field": "artifacts.attested_catalog_sha256", "digest_scope": "capability_catalog", "value": "d7330775e814d9fe1f97af28b52db2ecba2f32e2e3e82f08076f10a72d85c01b", "note": "Capability catalog integrity; site-wide, not per-suite fingerprint" } ] }, "cvp_core_sha256": "964fa4df85165110a5fdd19d1b368dcf725aa497666a31f5bcd19a223041d3a5" }, "dependencies": [ { "name": "monte-carlo-tolerance-engine", "version": "1.12.0" }, { "name": "monte-carlo-tolerance-reference-oracle", "version": "1.0.0" }, { "name": "monte-carlo-tolerance-mpmath-o3-table", "version": "monte-carlo-tolerance-mpmath-o3" }, { "name": "node", "version": "20.19.2" } ], "attestation": { "status": "STALE", "href": "/.well-known/calculatorx-production-attestation.json", "id": "1fdd351e49d9a9103d52e8d4d216269454fafffce59ccada2570a57ac43a6b27", "attested_at": "2026-09-16T02:55:45.474Z", "last_confirmed_current_at": "2026-09-16T02:55:45.474Z", "site_attestation_current": false, "capability_attestation_current": false, "bound_snapshot_status": "pass", "live_report_status": "stale", "bound_attested_at": "2026-09-14T00:43:05.498Z", "live_updated_at": "2026-09-16T02:28:24.159Z", "bound_snapshot": { "status": "pass", "attested_at": "2026-09-14T00:43:05.498Z", "site_stale_count": 4 }, "live_site_status": { "href": "/.well-known/calculatorx-production-attestation.json" }, "bound_snapshot_site_stale_count": 4, "site_stale_capability_count": 4, "evidence_attested_at": "2026-09-16T02:55:45.474Z", "stale_reason": "attestation snapshot core 2fc4f3fe9b86 ≠ live cvp_core_sha256 964fa4df8516 (2026-09-16.o3-analytic)" }, "domain_review": { "status": "ABSENT", "spec_version": "1.12.0", "external_third_party": false, "note": "Supplemental CalculatorX internal domain review — see internal_review" }, "internal_review": { "status": "PASS", "reviewer_role": "tolerance-engineer", "reviewed_by": "CalculatorX tolerance / mechanical engineering review", "spec_version": "1.12.0", "independence": "internal", "external_third_party": false }, "timestamps": { "verified_at": "2026-09-16T02:55:45.474Z", "generated_at": "2026-09-16T02:55:45.474Z", "rendered_at": "2026-09-16T02:55:45.474Z", "notes": "verified_at/generated_at mark the first publication of this cvp_core_sha256 (artifacts.evidence_digest alias) for suite verification. evidence_attested_at/attested_at is the first production bind of that core digest. last_confirmed_current_at is the latest site-wide report that still confirms CURRENT. rendered_at is this JSON serialization and is not part of cvp_core_sha256 / evidence_digest. Production attestation binds cvp_core_sha256 (binds evidence_digest). Causal order: verified_at ≤ evidence_attested_at ≤ last_confirmed_current_at. attestation.bound_snapshot.site_stale_count is the site-wide stale capability count at Manifest bind time — not a live value. Fetch attestation.live_site_status.href for the current site report." }, "links": { "legacy_evidence": "https://www.calculatorx.com/evidence/engineering.tolerance.monte_carlo/1.12.0.json", "evidence_page": "https://www.calculatorx.com/evidence/engineering.tolerance.monte_carlo/1.12.0", "calculator": "https://www.calculatorx.com/calc/engineering/monte-carlo-tolerance", "schema": "https://www.calculatorx.com/developers/cvp/schema/cvp-evidence-1.0.json", "protocol": "https://www.calculatorx.com/developers/cvp/spec/1.0", "manifest": "https://www.calculatorx.com/evidence/engineering.tolerance.monte_carlo/1.12.0.cvp.json", "manifest_immutable": "https://www.calculatorx.com/evidence/engineering.tolerance.monte_carlo/1.12.0/2026-09-16.o3-analytic.cvp.json", "reproduce": "https://www.calculatorx.com/evidence/engineering.tolerance.monte_carlo/reproduce", "o3_table": "https://www.calculatorx.com/developers/cvp/reproduce/monte-carlo-tolerance-o3-tables.json", "o3_generator": "https://www.calculatorx.com/developers/cvp/reproduce/generate-monte-carlo-tolerance-o3.py", "manifest_core": "https://www.calculatorx.com/evidence/engineering.tolerance.monte_carlo/1.12.0/2026-09-16.o3-analytic.964fa4df8516.cvp.json" } }