engineering.uncertainty.type_b

Three distinct suites: educational examples on the calculator page, this legacy regression count (8/8 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 1.0.0 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 2026-09-16.o2-o3. Calculation version 1.0.0. CVP 1.0.0-proposed. 5/5 golden · 4/4 CVP boundary · 7/7 invalid · 3/3 property · 2/2 metamorphic · 8/8 O3 · 4/4 cross-interface · 4/4 CVP contract. digest 47360ca02434. O2: u_B = a/√3 (rectangular) or a/√6 (triangular) vs separate-module identities (≤2 ULP). Not GUM combination, not trapezoidal, not Monte Carlo. ≤2 ULP vs O3 applies only to the published tabulated Type B vectors (rectangular, triangular, default, uniform alias, a=1, a=0.5 triangular, scale, half_width). It is not a whole-domain Type B guarantee and does not cover trapezoidal.

• Golden (oracle-backed) 5 / 5
• CVP boundary 4 / 4
• Invalid input 7 / 7
• Property 3 / 3
• Metamorphic 2 / 2
• O3 high-precision 8 / 8
• Cross-interface 4 / 4
• CVP contract 4 / 4
• Interfaces PASS · UI (SSR) / REST / MCP
• Interface claim ui-ssr is query-result HTML, not a live browser session. Error-path engine·REST·MCP 1/1 (status, code, calculation_version). SSR compared on URL-canonical requested calculations; empty query is idle (not an error) and JSON-typed object/array inputs are REST/MCP-only.
• Verified scope Type B u_B from half-width a: rectangular a/√3 (uniform alias) and triangular a/√6 + O3 mpmath tabulated u_B.
• Assurance Engineering
• Deferred Not GUM RSS of several uᵢ, not trapezoidal / U-shaped, not Monte Carlo, and not a standalone Combined/Expanded page.

• release artifacts aligned 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 sha256:51e560ba9b2d81d08ccdabec16a4e1a0a63dc4cf2b71f8a03645f95831e11266

Input schema sha256:6080180add3b3e3f6ea07297c66079905ded37d2111f71e63280aff62259290d · Output schema sha256:4173e7a353bcc72cd370af3b7dc7958835fd6bb511d24a743296041b2cc1a277 · 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

type-b

Engine

type-b

Engine build

2026-09-16

Evidence core

2026-09-16T21:07:40.795Z

Rendered

2026-11-10T05:18:41.779Z

Last reviewed

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Assumptions

• Type B: a is the half-width of the assumed distribution
• Rectangular (default, including uniform alias) u_B = a/√3; triangular u_B = a/√6
• Not GUM combination of several uᵢ
• Not Monte Carlo

Limitations

• One Type B component from a half-width — not GUM RSS of several uᵢ
• Not Monte Carlo
• Seeded distributions: rectangular and triangular only