Public evidence

math.sum

Machine-checked verification for calculation version 1.0.2 · tier engine_tested

Open calculator API Capability Download JSON CVP Manifest MCP Review policy

Historical evidence. This page is version 1.0.2 · engine_tested · 31/31 tests. It is not the current published claim. Current evidence is 1.0.3 (31/31 tests) · latest.

CVP status

Declared partitions are sum-exact-decimal, sum-scientific, long-integer, long-decimal, invalid-domain — aligned with published algorithms (exact-decimal vs Neumaier) and Long addition integer/decimal work. O2 checks numeric totals; column-work strings are not an independent numerical claim.

Declared partition coverage: PASS · 5/5 declared partitions (sum-exact-decimal, sum-scientific, long-integer, long-decimal, invalid-domain)
Versions: Calculation 1.0.2 · CVP protocol 1.0.0-proposed · Evidence 2026-09-16.sources-no-wolfram
Verification revision: 2026-09-16.sources-no-wolfram · 3/3 property · digest a295d54714a4

Verification

Legacy regression suite: 31/31 calculation tests · Production surface contract 5/5

Three distinct suites: educational examples on the calculator page, this legacy regression count (31/31 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 1.0.3 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 2026-09-16.sources-no-wolfram. Calculation version 1.0.2. CVP 1.0.0-proposed. 10/10 golden · 6/6 CVP boundary · 9/9 invalid · 3/3 property · 1/1 metamorphic · 6/6 cross-interface · 3/3 CVP contract. digest a295d54714a4. Plain-decimal and long-addition goldens: exact sumStr identity vs independent BigInt rationals. Scientific-notation goldens: ≤2 ULP on value vs the same exact rational rounded to binary64. Tabulated vectors only — not a whole-domain ≤2 ULP guarantee, including unlisted cancellation or mixed-format lists.

Golden (oracle-backed) 10 / 10
CVP boundary 6 / 6
Invalid input 9 / 9
Property 3 / 3
Metamorphic 1 / 1
Cross-interface 6 / 6
CVP contract 3 / 3
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.
Assurance Core

release artifacts aligned PASS
schema output required declared PASS
schema valid input executes PASS
engine success output validates schema PASS
rest success payload validates schema PASS

Fingerprint sha256:e3ac82f4c1bb576707a4d8daf7ff91087d01fa9496dfb8ffbe4bd8f5f1ff7bb0

Input schema sha256:bb22b7968bf29963c5e3912e6a6f9fa90f57f36d2d2830bfc206641805fc7fdb · Output schema sha256:9ad9d0010c16804531f21dc94fea93194a027fe033a3dd265e149e96d4a0c37a · 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: add
Engine: sum
Engine build: 2026-10-14
Evidence core: 2026-10-14T05:05:51.930Z
Rendered: 2026-10-22T10:05:27.278Z
Last reviewed: —

Assumptions

Tokens are parsed as decimal numbers; scientific notation is allowed in Sum mode only.
Units are not parsed. 5 kg + 3 kg is treated as 5 + 3; the sum keeps whatever unit the inputs shared.
Thousands separators are not supported. A comma in 7,890 is a value separator (7 + 890), with a non-blocking warning.
Long addition pads decimal places with zeros so columns align.
Plain decimal tokens are summed in base-10 (exact). Any scientific-notation token switches the list to Neumaier compensated IEEE-754 summation.

Limitations

Missing values → MISSING_REQUIRED_INPUT
Long mode requires non-negative decimals without scientific notation
Too many values → TOO_MANY_VALUES

Sources

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

CalculatorX mathematical conventions — Neumaier compensated summation for scientific-notation lists
Supports: Plain decimals sum in base-10; a scientific-notation token switches the list to compensated IEEE-754 summation.
Margaret Stevens — The Maths Workbook (University of Oxford) — Chapter 1, §1: Algebraic Expressions and Fractions; §3: Equations
Supports: Algebraic addition/subtraction, multiplication/division, distributive rules, equivalent fractions, common denominators and reciprocals. Ratios are interpreted as quotients. Equality of ratios with nonzero denominators permits cross multiplication, and solving a proportion uses the chapter’s equation transformations. A zero divisor is excluded; integer quotient/remainder uses the separately cited Euclidean-division reference. Mathematical reference only; not implementation validation or an endorsement of CalculatorX.

Methods

Algorithms this engine uses. Not external references.

Exact decimal summation for finite decimal tokens
Neumaier compensated summation when scientific notation is present
Place-value long addition with carrying

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.