math.numerical.optimize_1d

Three distinct suites: educational examples on the calculator page, this legacy regression count (11/11 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.

STALE · Build schema 1.0.5 matches page · production binding STALE · Semantic contract ✓ · Last attestation PASS · current evidence changed · re-attestation required · CVP STALE · attestation STALE — Production CURRENT withheld · Public/cache ✓ · Origin ✓

CVP verification suite

Protocol checks from the Evidence Manifest. Distinct from the legacy regression suite above. Verification revision 2026-10-07.optimization-cubic-reference. Calculation version 1.0.2. CVP 1.0.0-proposed. 15/15 golden · 2/2 CVP boundary · 4/4 invalid · 1/1 property · 5/5 cross-interface · 1/1 cross-calculator · 4/4 CVP contract. digest 8947ede9fc3d.

• Golden (oracle-backed) 15 / 15
• CVP boundary 2 / 2
• Invalid input 4 / 4
• Property 1 / 1
• Cross-interface 5 / 5
• Cross-calculator 1 / 1
• 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 all published methods
• Assurance Core

• release artifacts aligned PASS
• schema output required declared PASS
• schema rejects incomplete input PASS
• rest success payload validates schema PASS

Fingerprint sha256:f813746f155af6e46501c7f5be6c425960221e2241b9379bb690b8b79359af5f

Input schema sha256:329bd555ae2324ae8faadb3d2d61326f3f206d51418fa988ea10e902660c06f8 · Output schema sha256:5a609497ff81a651811a4c3602d64de1539bd63d222177ebc941d9899720b4f6 · 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

one-dimensional-optimization

Engine

one-dimensional-optimization

Engine build

2026-10-07

Evidence core

2026-10-07T09:36:11.556Z

Rendered

2026-10-07T09:37:44.166Z

Last reviewed

—

Assumptions

• The Result Card includes an engine-linked figure of f on [a, b] (marker is published xmin, fmin; poly coeffs are read from inputs, not a REST field). Same fnValue as REST/MCP. Iterate history is not a REST field.
• Minimize only; f treated as unimodal on [a, b]
• Not multivariate and not CAS
• Polynomial degree ≤ 8

Limitations

• Not multivariate / Nelder–Mead / gradient descent
• Not maximization (min only)
• a ≥ b → INVALID_INPUT
• Polynomial degree ≤ 8
• Not a CAS