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Public evidence

math.numerical.optimize_1d

Machine-checked verification for calculation version 1.0.3 · tier engine_tested

Historical evidence. This page is version 1.0.3 · engine_tested · 11/11 tests. It is not the current published claim. Current evidence is 1.0.5 (11/11 tests) · latest.

CVP status

CVP VERIFIED · production STALE · CVP protocol 1.0.0-proposed · Core assurance · all published methods

Minimize on [a,b] only. Discovery /golden-section and /brent-method lock method. Not max, not multivariate.

Declared partition coverage
PASS · 6/6 declared partitions (golden, brent, small-scale-quadratic, scaled-cubic-reference, numerical-range, invalid-domain)
Versions
Calculation 1.0.3 · CVP protocol 1.0.0-proposed · Evidence 2026-10-07.optimization-range-guards
Verification revision
2026-10-07.optimization-range-guards · 1/1 property · digest 422e879f92c3

Verification

Legacy regression suite: 11/11 calculation tests · Production surface contract 4/4

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-range-guards. Calculation version 1.0.3. CVP 1.0.0-proposed. 15/15 golden · 2/2 CVP boundary · 14/14 invalid · 1/1 property · 7/7 cross-interface · 1/1 cross-calculator · 4/4 CVP contract. digest 422e879f92c3.

  • Golden (oracle-backed) 15 / 15
  • CVP boundary 2 / 2
  • Invalid input 14 / 14
  • Property 1 / 1
  • Cross-interface 7 / 7
  • 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 3/3 (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:a26d3494e703446fd184966390d306b1a6b770a64e8abe0ee76a8ca8a9c9eed7

Input schema sha256:eaad576491921eb75cb9bf841904679ccd06f940148f7357572e31af463d0185 · Output schema sha256:90ec075f455d74b5ad8906ecc541c9c2cbace4753a16c803babdb6bc56a59910 · 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.

Build & scope

Engine identity and declared limitations.

Tool
one-dimensional-optimization
Engine
one-dimensional-optimization
Engine build
2026-10-14
Evidence core
2026-10-14T02:50:33.742Z
Rendered
2026-10-18T09:19:31.154Z
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

Sources

Standards and references supporting this tool specification. Methods are listed separately — they are algorithms, not bibliographic sources.

Verification disclosure

Aggregate outcomes, scope and artifact commitments are public. Complete test inputs, expected values, execution records and oracle infrastructure are retained privately. This summary does not independently reproduce the full verification run.