engineering.tolerance.monte_carlo

Three distinct suites: educational examples on the calculator page, this legacy regression count (71/71 golden + boundary), and the CVP verification suite below. They are not the same number. Property, metamorphic, round-trip, O3, and interface statuses/checks are recorded in the CVP Manifest . SKIP (0/0) means that suite has no published vectors.

This calculator CURRENT · Public schema 1.12.0 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓

CVP verification suite

Protocol checks from the Evidence Manifest. Distinct from the legacy regression suite above. Verification revision 2026-10-28.meta-metrics-v2. Calculation version 1.12.0. CVP 1.0.0-proposed. 5/5 golden · 25/25 CVP boundary · 13/13 invalid · 40/40 property · 2/2 metamorphic · 8/8 O3 · 12/12 cross-interface · 10/10 CVP contract. digest 2e7bdad8b797. 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.

• Golden (oracle-backed) 5 / 5
• CVP boundary 25 / 25
• Invalid input 13 / 13
• Property 40 / 40
• Metamorphic 2 / 2
• O3 high-precision 8 / 8
• Cross-interface 12 / 12
• CVP contract 10 / 10
• Interfaces PASS · UI (SSR) / REST / MCP
• Interface claim ui-ssr is query-result HTML, not a live browser session.
• 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.
• Assurance Engineering
• Deferred NORTA sampling, Sobol, and Shapley remain Evidence regression. O3 does not cover seeded MC statistics, Gaussian copula, or GD&T/3-D chains.

• contract page version PASS
• contract capability version PASS
• contract input schema version PASS
• contract output schema version PASS
• evidence version matches manifest PASS
• schema output required declared PASS
• schema valid input executes PASS
• engine success output validates schema PASS
• schema rejects incomplete input PASS
• rest success payload validates schema PASS

Fingerprint sha256:b4326f46a11710b3cbb4d2b124ac12ebc8e637d6d7e6dd9fbbbdcc2fd9c25a43

Input schema sha256:55ee91bbeba09c82e0effc6d2c3bf95a9e0d7afe24f8b056bf217788b81992b1 · Output schema sha256:6bd4d91cb24648c1c65224651fb3153e3b3c7149b5328f5362df59d0ec62744a · Build-time SHA-256 digests prove published artifacts agree with each other (release_integrity.scope=workspace). Production attestation GETs canonical URLs twice (public/cached view and origin), including Capability HTML, via npm run attest:production --write (published at /.well-known/calculatorx-production-attestation.json) and fails if the public Capability page advertises a different calculation_version. This is artifact consistency, not an independent immutable release log.

Tool

monte-carlo-tolerance

Engine

monte-carlo-tolerance

Engine build

2026-09-11

Evidence core

2026-09-11T23:04:52.544Z

Rendered

2026-11-10T05:18:41.880Z

Last reviewed

2026-08-12

Assumptions

• Independent unless correlations provided
• Correlated all-normal: joint two-piece normal via Cholesky
• Correlated non-normal: Gaussian-copula NORTA; entered ρ is latent Gaussian correlation, not Pearson of the finished marginals
• Cp*/Cpk* are design-stage simulated indices

Limitations

• 1-D stack; correlations use joint normal (all-normal) or Gaussian-copula NORTA (non-normal marginals)
• Asymmetric normal uses two-piece scaling; uniform/triangular use [-tol_minus,+tol_plus]
• Cp/Cpk/Ppk are simulated design-stage indices from overall MC mean/σ — not measured in-control SPC
• Sobol requires independent inputs; for this linear stack Si=STi=analytic variance shares
• Shapley variance attribution supports correlation; exact for d≤12, permutation estimate for d>12
• Under NORTA, analytic σ uses Cov≈ρ·σi·σj (latent ρ); prefer Monte Carlo σ
• Shared query must encode noms/sense; legacy tol1/tol2 alone is error-only (nominals 0)
• Not full GD&T / 3-D geometry
• MCP/agent input schema is canonical (no legacy field aliases); REST still accepts aliases
• calculation_fingerprint is SHA-256; calculation_short_id is FNV-1a32 for UI only
• MCP execute/inspect default detail_level=summary; pass full for histogram/Sobol/Shapley/contributors
• Agent correlations use named pairs {a,b,rho} only (no i/j indexes)
• Agent tolerances: half_tolerance OR both tol_plus+tol_minus (no single-sided agent form)