{ "protocol": { "name": "CVP", "version": "1.0.0-proposed" }, "document_status": "proposed", "calculator": { "id": "log", "version": "1.1.5", "title": "Log Calculator", "formula_family": "logarithm", "capability_id": "math.log", "verification_revision": "2026-09-08.xcal" }, "profile": "core", "status": "VERIFIED", "runner": { "name": "cvp-runner", "version": "1.0.0" }, "environment": { "runtime": "node", "runtime_version": "22.23.2", "numeric_model": "IEEE-754 binary64", "os": "linux" }, "suite": { "id": "log", "version": "1.1.5", "uri": "https://www.calculatorx.com/evidence/math.log/1.1.5.json", "verification_revision": "2026-09-08.xcal" }, "obligation_set": [ "CVP-PROV-01", "CVP-MODEL-01", "CVP-SCOPE-01", "CVP-UNIT-01", "CVP-REF-01", "CVP-GOLD-01", "CVP-BND-01", "CVP-INV-01", "CVP-NUM-01", "CVP-COV-01", "CVP-CONTRACT-01", "CVP-DEP-01", "CVP-ART-01", "CVP-PROD-01", "CVP-PROP-01", "CVP-META-01", "CVP-ROUND-01", "CVP-XCAL-01", "CVP-IFACE-01" ], "provenance": { "mode": "direct", "sources": [ { "label": "NIST Digital Library of Mathematical Functions, Chapter 4", "kind": "other", "reference": "Logarithm, Exponential, Powers", "url": "https://dlmf.nist.gov/4" }, { "label": "NIST DLMF §4.2", "kind": "other", "reference": "Logarithm: definitions and inverse of the exponential", "url": "https://dlmf.nist.gov/4.2" }, { "label": "CalculatorX mathematical conventions", "kind": "other", "reference": "Common (base 10), natural (base e), and real bases b > 0, b ≠ 1" } ] }, "reference": { "items": [ { "class": "O1", "reference_scope": "model", "scope": "model", "label": "Real logarithm as inverse of exponential" }, { "class": "O3", "reference_scope": "expected_values", "scope": "expected_values", "label": "Precomputed mpmath 1.4.1 log10 (80 dps, python backend, round-to-nearest-binary64) — not Node Math.*", "engine": { "name": "log10-mpmath-o3", "precision_bits": 265, "independent_of_iut": true, "library": "mpmath 1.4.1", "mpmath_dps": 80, "rounding": "round-to-nearest-binary64", "backend": "python", "generator_version": "1.0.0", "generator_sha256": "3453ec60bd03738a1f1f3723baed7e617ff49466452efab1844fe68b8f654cea", "table_sha256": "efdad939a92a67df1f3995db36c52bb87f428a59fc73568f789c02540f4372ee", "seed": "20260907", "source": "https://www.calculatorx.com/developers/cvp/reproduce/math-o3-tables.json", "public_table": "/developers/cvp/reproduce/math-o3-tables.json", "public_generator": "/developers/cvp/reproduce/generate-math-o3.py", "public_checker": "/developers/cvp/reproduce/check-math-o3-rest.py" } }, { "class": "O3", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O3 table vs IUT value; ≤2 ULP on tabulated vectors only, not the whole domain. Distinct from legacy Evidence case-level tol.", "engine": { "name": "log10-mpmath-o3", "precision_bits": 265, "independent_of_iut": true, "library": "mpmath 1.4.1", "mpmath_dps": 80, "rounding": "round-to-nearest-binary64", "backend": "python", "generator_version": "1.0.0", "generator_sha256": "3453ec60bd03738a1f1f3723baed7e617ff49466452efab1844fe68b8f654cea", "table_sha256": "efdad939a92a67df1f3995db36c52bb87f428a59fc73568f789c02540f4372ee", "seed": "20260907", "source": "https://www.calculatorx.com/developers/cvp/reproduce/math-o3-tables.json", "public_table": "/developers/cvp/reproduce/math-o3-tables.json", "public_generator": "/developers/cvp/reproduce/generate-math-o3.py", "public_checker": "/developers/cvp/reproduce/check-math-o3-rest.py" } }, { "class": "O2", "reference_scope": "expected_values", "scope": "expected_values", "label": "Separate-module logarithm oracle — independent change-of-base", "engine": { "name": "logarithm-reference", "precision_bits": 53, "independent_of_iut": true } }, { "class": "O2", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O2 module backs ≤2 ULP value comparison vs IUT", "engine": { "name": "logarithm-reference", "precision_bits": 53, "independent_of_iut": true } } ], "notes": "Common-log golden values prefer an O3 mpmath/MPFR table. O2 change-of-base is the live oracle for other bases and identities; it shares V8 binary64 with the IUT. O3 ≤2 ULP is a tabulated-vector claim, not a whole-domain guarantee." }, "controls": { "CVP-PROV-01": { "result": "PASS", "applicability": "required", "notes": "Sources present on evidence" }, "CVP-MODEL-01": { "result": "PASS", "applicability": "required", "notes": "y = log_b(x) via change-of-base" }, "CVP-SCOPE-01": { "result": "PASS", "applicability": "required", "notes": "Real log: x>0; b>0,b≠1" }, "CVP-UNIT-01": { "result": "PASS", "applicability": "required", "notes": "dimensionless (unitless core)" }, "CVP-REF-01": { "result": "PASS", "applicability": "required", "notes": "O1 model + O3 log10 table + O2 live change-of-base" }, "CVP-GOLD-01": { "result": "PASS", "applicability": "required", "notes": "22/22 legacy golden; 3/3 oracle-backed numeric" }, "CVP-BND-01": { "result": "PASS", "applicability": "required", "notes": "23/23 CVP boundary · 23/23 legacy Evidence boundary" }, "CVP-INV-01": { "result": "PASS", "applicability": "required", "notes": "23 invalid-domain cases" }, "CVP-NUM-01": { "result": "PASS", "applicability": "required", "notes": "≤2 ULP vs O3 applies to the 14 published tabulated common-log vectors (log₁₀ of 1, 10, 100, 0.1, 2, 1000 plus 8 seeded random x = 10^(u·6−2) in about [0.01, 10⁴]). It is not a guarantee over all bases, the whole positive reals, or unlisted neighborhoods of 0 and 1. Legacy Evidence `tol` is not this policy." }, "CVP-COV-01": { "result": "PASS", "applicability": "required", "notes": "5/5 declared partitions (log-y, log-x, log-b, invalid-domain, xcal) · 22 legacy golden / 23 CVP boundary unique cases · 23 Evidence invalid-input (may overlap boundary)" }, "CVP-CONTRACT-01": { "result": "PASS", "applicability": "required", "notes": "1/1 contract checks" }, "CVP-DEP-01": { "result": "PASS", "applicability": "required", "notes": "engine log; Node binary64" }, "CVP-ART-01": { "result": "PASS", "applicability": "required", "notes": "release_integrity.status=verified · evidence_digest=CVP verification fingerprint v2 (canonical inputs, expected/actual/status, policy, versions; independent of generated_at) · evidence_bundle_sha256=legacy Evidence JSON bytes · production_sha256=bound production attestation report" }, "CVP-PROD-01": { "result": "PASS", "applicability": "required", "notes": "CURRENT · site report stale · local checks pass · attestation_id=fcb416c58928cba9762ed3daca1d89d3fb31949829124a90388eca1df827099f · CURRENT · Public schema 1.1.5 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓ · schema_const=1.1.5 · report output-const=pass · evidence-sha256=pass · semantic-contract=pass · capability-html-public-origin-agree=pass · cvp-manifest-public-origin-agree=pass · cvp-latest-alias-agrees=pass · cvp-immutable-manifest-fetch=pass · cvp-immutable-manifest-sha256=pass · cvp-latest-alias-matches-immutable=pass · cvp-reproduce-manifest-agree=pass · calculator-html-cvp-projection=pass · evidence-html-cvp-projection=pass · attested_evidence_sha256=0223bc7d68cc3d7efa7cd8b91d912ab6f3c1ced3be224eab0fb377f2694d8367 · verified_at=2026-09-10T07:29:47.535Z · attested_at=2026-09-10T10:57:12.867Z · rendered_at=2026-09-10T10:57:13.729Z · binds=evidence_digest" }, "CVP-DIM-01": { "result": "SKIP", "applicability": "not_applicable", "notes": "Unitless core calculator — no physical dimension algebra" }, "CVP-PROP-01": { "result": "PASS", "applicability": "applicable", "notes": "2/2 property" }, "CVP-META-01": { "result": "PASS", "applicability": "applicable", "notes": "2/2 metamorphic" }, "CVP-ROUND-01": { "result": "PASS", "applicability": "applicable", "notes": "3/3 round-trips" }, "CVP-XCAL-01": { "result": "PASS", "applicability": "applicable", "notes": "12/12 cross-calculator · xcal-antilog-100 PASS vs math.antilog; xcal-antilog-10 PASS vs math.antilog; xcal-antilog-2 PASS vs math.antilog; xcal-antilog-tenth PASS vs math.antilog; xcal-ln-10 PASS vs math.ln; xcal-ln-2 PASS vs math.ln; xcal-ln-e PASS vs math.ln; xcal-ln-half PASS vs math.ln; xcal-exponent-0 PASS vs math.exponent; xcal-exponent-1 PASS vs math.exponent; xcal-exponent-2 PASS vs math.exponent; xcal-exponent-3 PASS vs math.exponent; xcal-sci-na N/A (Scientific notation is listed as a related decimal-form tool (A×10ⁿ). It does not encode antilog(log₁₀ x)=x, log_e(x)=ln(x), or log₁₀(10ⁿ)=n.)" }, "CVP-IFACE-01": { "result": "PASS", "applicability": "applicable", "notes": "UI (SSR) · REST · MCP equivalent (MCP uses calc API handler). Success 1/1. Integration: URL → SSR result → Live graph current point (4/4). Hydration/slider/history are URL-canonical contracts, not a live browser session." }, "CVP-ORACLE-01": { "result": "PASS", "applicability": "higher_assurance", "notes": "O3 14/14 tabulated vectors vs IUT · ≤2 ULP vs O3 applies to the 14 published tabulated common-log vectors (log₁₀ of 1, 10, 100, 0.1, 2, 1000 plus 8 seeded random x = 10^(u·6−2) in about [0.01, 10⁴]). It is not a guarantee over all bases, the whole positive reals, or unlisted neighborhoods of 0 and 1." }, "CVP-EXP-01": { "result": "SKIP", "applicability": "optional", "notes": "expert_reviewed=false" } }, "tests": { "golden": { "passed": 3, "total": 3, "failed": 0, "case_ids": [ "g-common-100", "g-common-10", "g-common-1" ] }, "boundary": { "passed": 23, "total": 23, "failed": 0, "case_ids": [ "invalid-base-1", "invalid-base-0", "invalid-base-neg", "x-zero", "x-neg", "empty-x", "x-infinity", "x-nan", "x-abc", "x-whitespace", "x-null", "x-object", "x-array", "x-boolean", "b-object", "b-array", "solve-b-non-unique", "solve-b-y-zero-x-not-one", "solve-b-x-one-invalid", "solve-x-overflow", "solve-x-underflow", "solve-b-overflow", "invalid-solve-for" ] }, "invalid": { "passed": 23, "total": 23, "failed": 0, "case_ids": [ "invalid-base-1", "invalid-base-0", "invalid-base-neg", "x-zero", "x-neg", "empty-x", "x-infinity", "x-nan", "x-abc", "x-whitespace", "x-null", "x-object", "x-array", "x-boolean", "b-object", "b-array", "solve-b-non-unique", "solve-b-y-zero-x-not-one", "solve-b-x-one-invalid", "solve-x-overflow", "solve-x-underflow", "solve-b-overflow", "invalid-solve-for" ] }, "property": { "passed": 2, "total": 2, "failed": 0, "case_ids": [ "prop-log10-1", "prop-log10-10" ], "definition_ids": [ "log-one-is-zero", "log-base-is-one" ] }, "round_trip": { "passed": 3, "total": 3, "failed": 0, "case_ids": [ "rt-common-2", "rt-common-1", "rt-common-0" ] }, "metamorphic": { "passed": 2, "total": 2, "failed": 0, "case_ids": [ "meta-power-10", "meta-power-2" ], "definition_ids": [ "log-power" ] }, "contract": { "passed": 1, "total": 1, "failed": 0 }, "cross_interface": { "passed": 1, "total": 1, "failed": 0, "case_ids": [ "iface-log" ] }, "cross_calculator": { "passed": 12, "total": 12, "failed": 0, "case_ids": [ "xcal-antilog-100", "xcal-antilog-10", "xcal-antilog-2", "xcal-antilog-tenth", "xcal-ln-10", "xcal-ln-2", "xcal-ln-e", "xcal-ln-half", "xcal-exponent-0", "xcal-exponent-1", "xcal-exponent-2", "xcal-exponent-3" ] }, "ui_integration": { "passed": 4, "total": 4, "failed": 0, "case_ids": [ "ui-log-100", "ui-log-10", "ui-log-1", "ui-log-2" ] }, "o3": { "passed": 14, "total": 14, "failed": 0, "case_ids": [ "o3-log10-1p0", "o3-log10-10p0", "o3-log10-100p0", "o3-log10-0p1", "o3-log10-2p0", "o3-log10-1000p0", "o3-log10-rand-00", "o3-log10-rand-01", "o3-log10-rand-02", "o3-log10-rand-03", "o3-log10-rand-04", "o3-log10-rand-05", "o3-log10-rand-06", "o3-log10-rand-07" ], "generator_id": "math-mpmath-o3", "seed": "20260907", "table_sha256": "efdad939a92a67df1f3995db36c52bb87f428a59fc73568f789c02540f4372ee", "max_error_ulp": 0.5588572521476642, "reproduce": "python3 generate-math-o3.py", "table_url": "/developers/cvp/reproduce/math-o3-tables.json", "generator_url": "/developers/cvp/reproduce/generate-math-o3.py", "claim_scope": "≤2 ULP vs O3 applies to the 14 published tabulated common-log vectors (log₁₀ of 1, 10, 100, 0.1, 2, 1000 plus 8 seeded random x = 10^(u·6−2) in about [0.01, 10⁴]). It is not a guarantee over all bases, the whole positive reals, or unlisted neighborhoods of 0 and 1.", "reproduce_url": "https://www.calculatorx.com/evidence/math.log/reproduce" } }, "coverage": { "partitions": [ { "id": "log-y", "description": "Solve y = log_b(x)", "exercised": true, "case_count": 51 }, { "id": "log-x", "description": "Solve argument x = b^y", "exercised": true, "case_count": 4 }, { "id": "log-b", "description": "Solve base b = x^(1/y)", "exercised": true, "case_count": 3 }, { "id": "invalid-domain", "description": "Invalid inputs", "exercised": true, "case_count": 23 }, { "id": "xcal", "description": "Cross-calculator antilog(log₁₀ x)=x vs Antilog, log_e(x)=ln(x) vs Ln, log₁₀(10ⁿ)=n vs Exponent; scientific notation N/A", "exercised": true, "case_count": 12 } ] }, "numerical": { "representation": "IEEE-754 binary64 change-of-base", "tolerance": { "type": "ulp", "value": 2, "rationale": "Independent Math.log change-of-base vs IUT; ≤2 ULP on tabulated O3 common-log vectors, declared a priori. Not a whole-domain or all-bases ULP guarantee.", "declared_before_evaluation": true }, "legacy_regression_notes": "Legacy Evidence JSON may record case-level tol (e.g. 1e-8). That is a regression epsilon, not the CVP ≤2 ULP acceptance policy. CVP records list reference, actual, error_ulp, and the a-priori ULP threshold.", "claim_scope": "≤2 ULP vs O3 applies to the 14 published tabulated common-log vectors (log₁₀ of 1, 10, 100, 0.1, 2, 1000 plus 8 seeded random x = 10^(u·6−2) in about [0.01, 10⁴]). It is not a guarantee over all bases, the whole positive reals, or unlisted neighborhoods of 0 and 1.", "max_error_observed": 1, "records": [ { "id": "g-common-100", "reference": { "solve_for": "y", "value": 2, "y": 2, "x": 100, "b": 10 }, "actual": { "solve_for": "y", "value": 2, "b": 10, "x": 100, "y": 2, "base_label": "10", "base_mode": "common" }, "error_ulp": 0, "threshold_ulp": 2, "suite": "golden" }, { "id": "g-common-10", "reference": { "solve_for": "y", "value": 1, "y": 1, "x": 10, "b": 10 }, "actual": { "solve_for": "y", "value": 1, "b": 10, "x": 10, "y": 1, "base_label": "10", "base_mode": "common" }, "error_ulp": 0, "threshold_ulp": 2, "suite": "golden" }, { "id": "g-common-1", "reference": { "solve_for": "y", "value": 0, "y": 0, "x": 1, "b": 10 }, "actual": { "solve_for": "y", "value": 0, "b": 10, "x": 1, "y": 0, "base_label": "10", "base_mode": "common" }, "error_ulp": 0, "threshold_ulp": 2, "suite": "golden" }, { "id": "rt-common-2", "reference": { "solve_for": "y", "value": 2, "y": 2, "x": 100, "b": 10 }, "actual": { "solve_for": "y", "value": 2, "b": 10, "x": 100, "y": 2, "base_label": "10", "base_mode": "common" }, "error_ulp": 0, "threshold_ulp": 2, "suite": "round-trip", "hops": { "forward": { "reference": { "solve_for": "y", "value": 2, "y": 2, "x": 100, "b": 10 }, "actual": { "solve_for": "y", "value": 2, "b": 10, "x": 100, "y": 2, "base_label": "10", "base_mode": "common" }, "error_ulp": 0 }, "reverse": { "reference": 100, "actual": 100, "error_ulp": 0 } } }, { "id": "rt-common-1", "reference": { "solve_for": "y", "value": 1, "y": 1, "x": 10, "b": 10 }, "actual": { "solve_for": "y", "value": 1, "b": 10, "x": 10, "y": 1, "base_label": "10", "base_mode": "common" }, "error_ulp": 0, "threshold_ulp": 2, "suite": "round-trip", "hops": { "forward": { "reference": { "solve_for": "y", "value": 1, "y": 1, "x": 10, "b": 10 }, "actual": { "solve_for": "y", "value": 1, "b": 10, "x": 10, "y": 1, "base_label": "10", "base_mode": "common" }, "error_ulp": 0 }, "reverse": { "reference": 10, "actual": 10, "error_ulp": 0 } } }, { "id": "rt-common-0", "reference": { "solve_for": "y", "value": 0, "y": 0, "x": 1, "b": 10 }, "actual": { "solve_for": "y", "value": 0, "b": 10, "x": 1, "y": 0, "base_label": "10", "base_mode": "common" }, "error_ulp": 0, "threshold_ulp": 2, "suite": "round-trip", "hops": { "forward": { "reference": { "solve_for": "y", "value": 0, "y": 0, "x": 1, "b": 10 }, "actual": { "solve_for": "y", "value": 0, "b": 10, "x": 1, "y": 0, "base_label": "10", "base_mode": "common" }, "error_ulp": 0 }, "reverse": { "reference": 1, "actual": 1, "error_ulp": 0 } } }, { "id": "meta-power-10", "reference": 2, "actual": 2, "error_ulp": 0, "threshold_ulp": 2, "suite": "metamorphic", "hops": { "base": { "reference": { "solve_for": "y", "value": 1, "y": 1, "x": 10, "b": 10 }, "actual": { "solve_for": "y", "value": 1, "b": 10, "x": 10, "y": 1, "base_label": "10", "base_mode": "common" }, "error_ulp": 0 }, "follow": { "reference": { "solve_for": "y", "value": 2, "y": 2, "x": 100, "b": 10 }, "actual": { "solve_for": "y", "value": 2, "b": 10, "x": 100, "y": 2, "base_label": "10", "base_mode": "common" }, "error_ulp": 0 }, "relation": { "reference": 2, "actual": 2, "error_ulp": 0 } } }, { "id": "meta-power-2", "reference": 2.9999999999999996, "actual": 3, "error_ulp": 1, "threshold_ulp": 2, "suite": "metamorphic", "hops": { "base": { "reference": { "solve_for": "y", "value": 0.3010299956639812, "y": 0.3010299956639812, "x": 2, "b": 10 }, "actual": { "solve_for": "y", "value": 0.3010299956639812, "b": 10, "x": 2, "y": 0.3010299956639812, "base_label": "10", "base_mode": "common" }, "error_ulp": 0 }, "follow": { "reference": { "solve_for": "y", "value": 0.9030899869919434, "x": 8, "y": 0.9030899869919434, "b": 10 }, "actual": { "solve_for": "y", "value": 0.9030899869919435, "b": 10, "x": 8, "y": 0.9030899869919435, "base_label": "10", "base_mode": "common" }, "error_ulp": 0.5536546824812271 }, "relation": { "reference": 2.9999999999999996, "actual": 3, "error_ulp": 1 } } }, { "id": "o3-log10-1p0", "reference": { "solve_for": "y", "value": 0, "y": 0, "x": 1, "b": 10 }, "actual": { "solve_for": "y", "value": 0, "b": 10, "x": 1, "y": 0, "base_label": "10", "base_mode": "common" }, "error_ulp": 0, "threshold_ulp": 2, "suite": "o3" }, { "id": "o3-log10-10p0", "reference": { "solve_for": "y", "value": 1, "y": 1, "x": 10, "b": 10 }, "actual": { "solve_for": "y", "value": 1, "b": 10, "x": 10, "y": 1, "base_label": "10", "base_mode": "common" }, "error_ulp": 0, "threshold_ulp": 2, "suite": "o3" }, { "id": "o3-log10-100p0", "reference": { "solve_for": "y", "value": 2, "y": 2, "x": 100, "b": 10 }, "actual": { "solve_for": "y", "value": 2, "b": 10, "x": 100, "y": 2, "base_label": "10", "base_mode": "common" }, "error_ulp": 0, "threshold_ulp": 2, "suite": "o3" }, { "id": "o3-log10-0p1", "reference": { "solve_for": "y", "value": -1, "y": -1, "x": 0.1, "b": 10 }, "actual": { "solve_for": "y", "value": -1, "b": 10, "x": 0.1, "y": -1, "base_label": "10", "base_mode": "common" }, "error_ulp": 0, "threshold_ulp": 2, "suite": "o3" }, { "id": "o3-log10-2p0", "reference": { "solve_for": "y", "value": 0.3010299956639812, "y": 0.3010299956639812, "x": 2, "b": 10 }, "actual": { "solve_for": "y", "value": 0.3010299956639812, "b": 10, "x": 2, "y": 0.3010299956639812, "base_label": "10", "base_mode": "common" }, "error_ulp": 0, "threshold_ulp": 2, "suite": "o3" }, { "id": "o3-log10-1000p0", "reference": { "solve_for": "y", "value": 3, "y": 3, "x": 1000, "b": 10 }, "actual": { "solve_for": "y", "value": 3, "b": 10, "x": 1000, "y": 3, "base_label": "10", "base_mode": "common" }, "error_ulp": 0, "threshold_ulp": 2, "suite": "o3" }, { "id": "o3-log10-rand-00", "reference": { "solve_for": "y", "value": 0.4473414258100093, "y": 0.4473414258100093, "x": 2.801182637514798, "b": 10 }, "actual": { "solve_for": "y", "value": 0.44734142581000924, "b": 10, "x": 2.801182637514798, "y": 0.44734142581000924, "base_label": "10", "base_mode": "common" }, "error_ulp": 0.5588572521476642, "threshold_ulp": 2, "suite": "o3" }, { "id": "o3-log10-rand-01", "reference": { "solve_for": "y", "value": 2.4032042426988482, "y": 2.4032042426988482, "x": 253.04877701188164, "b": 10 }, "actual": { "solve_for": "y", "value": 2.4032042426988482, "b": 10, "x": 253.04877701188164, "y": 2.4032042426988482, "base_label": "10", "base_mode": "common" }, "error_ulp": 0, "threshold_ulp": 2, "suite": "o3" }, { "id": "o3-log10-rand-02", "reference": { "solve_for": "y", "value": 2.958486137446016, "y": 2.958486137446016, "x": 908.8372887797552, "b": 10 }, "actual": { "solve_for": "y", "value": 2.958486137446016, "b": 10, "x": 908.8372887797552, "y": 2.958486137446016, "base_label": "10", "base_mode": "common" }, "error_ulp": 0, "threshold_ulp": 2, "suite": "o3" }, { "id": "o3-log10-rand-03", "reference": { "solve_for": "y", "value": 1.5543401669710875, "y": 1.5543401669710875, "x": 35.83770308093714, "b": 10 }, "actual": { "solve_for": "y", "value": 1.5543401669710875, "b": 10, "x": 35.83770308093714, "y": 1.5543401669710875, "base_label": "10", "base_mode": "common" }, "error_ulp": 0, "threshold_ulp": 2, "suite": "o3" }, { "id": "o3-log10-rand-04", "reference": { "solve_for": "y", "value": -0.5171646135859191, "y": -0.5171646135859191, "x": 0.303973263679299, "b": 10 }, "actual": { "solve_for": "y", "value": -0.5171646135859191, "b": 10, "x": 0.303973263679299, "y": -0.5171646135859191, "base_label": "10", "base_mode": "common" }, "error_ulp": 0, "threshold_ulp": 2, "suite": "o3" }, { "id": "o3-log10-rand-05", "reference": { "solve_for": "y", "value": 1.9879787350073457, "y": 1.9879787350073457, "x": 97.26995949052845, "b": 10 }, "actual": { "solve_for": "y", "value": 1.9879787350073457, "b": 10, "x": 97.26995949052845, "y": 1.9879787350073457, "base_label": "10", "base_mode": "common" }, "error_ulp": 0, "threshold_ulp": 2, "suite": "o3" }, { "id": "o3-log10-rand-06", "reference": { "solve_for": "y", "value": 1.720295939128846, "y": 1.720295939128846, "x": 52.516519905953444, "b": 10 }, "actual": { "solve_for": "y", "value": 1.720295939128846, "b": 10, "x": 52.516519905953444, "y": 1.720295939128846, "base_label": "10", "base_mode": "common" }, "error_ulp": 0, "threshold_ulp": 2, "suite": "o3" }, { "id": "o3-log10-rand-07", "reference": { "solve_for": "y", "value": 3.0144862793385983, "y": 3.0144862793385983, "x": 1033.9184358911507, "b": 10 }, "actual": { "solve_for": "y", "value": 3.0144862793385983, "b": 10, "x": 1033.9184358911507, "y": 3.0144862793385983, "base_label": "10", "base_mode": "common" }, "error_ulp": 0, "threshold_ulp": 2, "suite": "o3" } ] }, "interfaces": { "compared": [ "ui-ssr", "rest", "mcp", "ui-url-result-graph" ], "result": "PASS", "notes": "UI (SSR) · REST · MCP equivalent (MCP uses calc API handler). Success 1/1. Integration: URL → SSR result → Live graph current point (4/4). Hydration/slider/history are URL-canonical contracts, not a live browser session." }, "artifacts": { "evidence_bundle_sha256": "5461559fdbd68d897d1522aed2381cb0b8fe63da31a4109dbd2007d1614b9a82", "evidence_digest": "f983352a55ff7ae11cf51d3686aac2dd9b7a63d608bfde0bded50b6345f85424", "production_sha256": "0223bc7d68cc3d7efa7cd8b91d912ab6f3c1ced3be224eab0fb377f2694d8367", "attested_catalog_sha256": "6aa388524e8098a039686cf245640d8af3d123d895e9af1bb69052c231aa23ab", "production_checks": [ { "id": "math.log:output-const", "status": "pass", "detail": "output const 1.1.5 vs capability 1.1.5", "scope": "last_attestation_snapshot", "current": true, "attested_at": "2026-09-10T10:57:12.867Z", "attestation_binding_current": true }, { "id": "math.log:evidence-sha256", "status": "pass", "detail": "bd9da4da7ccb", "scope": "last_attestation_snapshot", "current": true, "attested_at": "2026-09-10T10:57:12.867Z", "attestation_binding_current": true }, { "id": "math.log:semantic-contract", "status": "pass", "detail": "45/45", "scope": "last_attestation_snapshot", "current": true, "attested_at": "2026-09-10T10:57:12.867Z", "attestation_binding_current": true }, { "id": "math.log:capability-html-public-origin-agree", "status": "pass", "detail": "public 1.1.5 vs origin 1.1.5", "scope": "last_attestation_snapshot", "current": true, "attested_at": "2026-09-10T10:57:12.867Z", "attestation_binding_current": true }, { "id": "math.log:cvp-manifest-public-origin-agree", "status": "pass", "detail": "math.log/1.1.5/2026-09-08.xcal/core/f983352a55ff", "scope": "last_attestation_snapshot", "current": true, "attested_at": "2026-09-10T10:57:12.867Z", "attestation_binding_current": true, "projection_compared": false, "observed_live_projection_at_attestation": "VERIFIED" }, { "id": "math.log:cvp-latest-alias-agrees", "status": "pass", "detail": "math.log/1.1.5/2026-09-08.xcal/core/f983352a55ff", "scope": "last_attestation_snapshot", "current": true, "attested_at": "2026-09-10T10:57:12.867Z", "attestation_binding_current": true, "projection_compared": false, "observed_live_projection_at_attestation": "STALE" }, { "id": "math.log:cvp-immutable-manifest-fetch", "status": "pass", "detail": "public=200 origin=200", "scope": "last_attestation_snapshot", "current": true, "attested_at": "2026-09-10T10:57:12.867Z", "attestation_binding_current": true }, { "id": "math.log:cvp-immutable-manifest-sha256", "status": "pass", "detail": "f983352a55ff", "scope": "last_attestation_snapshot", "current": true, "attested_at": "2026-09-10T10:57:12.867Z", "attestation_binding_current": true }, { "id": "math.log:cvp-latest-alias-matches-immutable", "status": "pass", "detail": "math.log/1.1.5/2026-09-08.xcal/core/f983352a55ff", "scope": "last_attestation_snapshot", "current": true, "attested_at": "2026-09-10T10:57:12.867Z", "attestation_binding_current": true, "projection_compared": false }, { "id": "math.log:cvp-reproduce-manifest-agree", "status": "pass", "detail": "2026-09-08.xcal · efdad939a92a", "scope": "last_attestation_snapshot", "current": true, "attested_at": "2026-09-10T10:57:12.867Z", "attestation_binding_current": true }, { "id": "math.log:calculator-html-cvp-projection", "status": "pass", "detail": "matches Manifest", "scope": "last_attestation_snapshot", "current": true, "attested_at": "2026-09-10T10:57:12.867Z", "attestation_binding_current": true }, { "id": "math.log:evidence-html-cvp-projection", "status": "pass", "detail": "matches Manifest", "scope": "last_attestation_snapshot", "current": true, "attested_at": "2026-09-10T10:57:12.867Z", "attestation_binding_current": true } ] }, "dependencies": [ { "name": "log-engine", "version": "1.1.5" }, { "name": "log-reference-oracle", "version": "1.0.0" }, { "name": "log-o3-mpmath-table", "version": "math-mpmath-o3" }, { "name": "math.antilog", "version": "1.0.5", "role": "cross_calculator_peer", "capability_id": "math.antilog", "evidence_digest": "ab8e531bb15d4e6de5be37d41c37b6406ef2819faa47e6b0e502b6b6d23c4b6f", "evidence": "https://www.calculatorx.com/evidence/math.antilog/1.0.5.cvp.json" }, { "name": "math.ln", "version": "1.0.4", "role": "cross_calculator_peer", "capability_id": "math.ln", "evidence_digest": "eafd28643bc3b34ececc8176128d953e9c6173a9d2c9f2fbdcf683460abc4a4b", "evidence": "https://www.calculatorx.com/evidence/math.ln/1.0.4.cvp.json" }, { "name": "math.exponent", "version": "1.0.4", "role": "cross_calculator_peer", "capability_id": "math.exponent", "evidence_digest": "e5bdc1674386f1b25faf08a12ebed7e947862cc02ab3cba50f34de53b23ca1bf", "evidence": "https://www.calculatorx.com/evidence/math.exponent/1.0.4.cvp.json" }, { "name": "node", "version": "22.23.2" } ], "attestation": { "status": "CURRENT", "href": "/.well-known/calculatorx-production-attestation.json", "id": "fcb416c58928cba9762ed3daca1d89d3fb31949829124a90388eca1df827099f", "attested_at": "2026-09-10T10:57:12.867Z" }, "domain_review": { "status": "ABSENT", "spec_version": "1.1.5" }, "timestamps": { "verified_at": "2026-09-10T07:29:47.535Z", "generated_at": "2026-09-10T07:29:47.535Z", "rendered_at": "2026-09-10T10:57:13.729Z", "notes": "verified_at/generated_at mark the first publication of this evidence_digest (suite verification). rendered_at is this JSON serialization and is not part of evidence_digest. Production attestation binds evidence_digest, not rendered_at. Causal order: verified_at ≤ attestation started ≤ attested_at." }, "links": { "legacy_evidence": "https://www.calculatorx.com/evidence/math.log/1.1.5.json", "evidence_page": "https://www.calculatorx.com/evidence/math.log/1.1.5", "calculator": "https://www.calculatorx.com/calc/math/log", "schema": "https://www.calculatorx.com/developers/cvp/schema/cvp-evidence-1.0.json", "protocol": "https://www.calculatorx.com/developers/cvp/spec/1.0", "manifest": "https://www.calculatorx.com/evidence/math.log/1.1.5.cvp.json", "manifest_immutable": "https://www.calculatorx.com/evidence/math.log/1.1.5/2026-09-08.xcal.cvp.json", "reproduce": "https://www.calculatorx.com/evidence/math.log/reproduce", "o3_table": "https://www.calculatorx.com/developers/cvp/reproduce/math-o3-tables.json", "o3_generator": "https://www.calculatorx.com/developers/cvp/reproduce/generate-math-o3.py" } }