{
  "capability_id": "math.antilog",
  "tool_id": "anti-log",
  "engine": "antilog",
  "calculation_version": "1.0.7",
  "generated_at": "2026-10-28T03:01:57.874Z",
  "engine_build": "2026-10-27",
  "test_count": 33,
  "passed": 33,
  "failed": 0,
  "tests_summary": {
    "golden": {
      "passed": 14,
      "total": 14
    },
    "boundary": {
      "passed": 19,
      "total": 19
    },
    "property": {
      "passed": 0,
      "total": 0
    }
  },
  "engine_tested": true,
  "expert_reviewed": false,
  "internally_reviewed": false,
  "review_kind": null,
  "source_checked": true,
  "reviewed_by": null,
  "reviewer_role": null,
  "last_reviewed": null,
  "expert_review": {
    "status": "optional_not_performed",
    "reviewer": null,
    "scope": [
      "formula",
      "input semantics",
      "assumptions",
      "limitations",
      "sources",
      "tests"
    ],
    "note": "Domain expert review is optional under CVP (CVP-EXP-01). Absence does not block CVP Verified. See Review policy for supplemental domain assurance."
  },
  "internal_review": {
    "status": "not_applicable",
    "reviewer": null
  },
  "page": "https://www.calculatorx.com/calc/math/anti-log",
  "api": "https://www.calculatorx.com/api/v1/calc/anti-log",
  "schema_input": "https://www.calculatorx.com/schemas/math.antilog.input.json",
  "schema_output": "https://www.calculatorx.com/schemas/math.antilog.output.json",
  "assumptions": [
    "Real arithmetic; base b > 0 and b ≠ 1.",
    "Result x is positive for real y when b > 0."
  ],
  "limitations": [
    "x=b^y for finite y and positive finite b≠1. Omitted base defaults10. Scalar output remains unrounded binary64; overflow and result rounding tozero reject.",
    "Selected alias precedence: y then yInput; baseId then base; selected explicit preset/numeric base overrides b/baseInput; custom uses b then baseInput; absent base token uses b then baseInput. Nullish aliases fall through. Ignored shadow fields do not change the selected value.",
    "Selected numeric text is strict decimal/scientific up to512 characters; nonzero text rounding tozero rejects NUMERIC_UNDERFLOW. Explicit blank/invalid base rejects instead of defaulting. Unknown keys reject; compare/digits are validated presentation-only options.",
    "Symbolic e means Math.exp(y); numeric/custom Math.E remains binary64 Math.pow. No proximity snapping.51 independent Decimal150/250 scalar references use2ULP fixed-vector budget; existing O3 budget retained, no whole-domain guarantee.",
    "Display precision is rounding only. Inverse uses unrounded x and is not independent verification; x rounded to1 cannot recover nonzero y. Conditioning depends on |y| nearbase1 and |y ln b| for exponent perturbations.",
    "Typing local; shared URLs/REST/MCP send inputs and may enter logs. Native exports retain scalar output and raw provided inputs."
  ],
  "boundary_conditions": [
    "Invalid base (≤ 0 or 1) returns INVALID_BASE.",
    "0 < b < 1 is valid (for example 0.5² = 0.25).",
    "y = 0 returns 1 for every valid base.",
    "Extreme |y| may overflow (RESULT_OVERFLOW) or underflow (RESULT_UNDERFLOW)."
  ],
  "sources": [
    {
      "title": "NIST Digital Library of Mathematical Functions, Chapter 4",
      "section": "Logarithm, Exponential, Powers",
      "url": "https://dlmf.nist.gov/4",
      "supports": "Logarithm and exponential as inverse operations; antilog is exponentiation x = b^y",
      "kind": "reference"
    },
    {
      "title": "NIST DLMF §4.2",
      "section": "Logarithm: definitions and inverse of the exponential",
      "url": "https://dlmf.nist.gov/4.2",
      "supports": "b^(log_b x) = x and log_b(b^y) = y for valid real b and x",
      "kind": "reference",
      "publisher": "National Institute of Standards and Technology"
    },
    {
      "title": "CalculatorX mathematical conventions",
      "section": "Common (base 10), natural (base e), and real bases b > 0, b ≠ 1",
      "supports": "Unspecified antilog is common (base 10); custom bases may be in (0, 1)",
      "kind": "definition"
    }
  ],
  "methods": [],
  "fingerprint": "sha256:15b944be0d7f3ec555e76a36b458b40349daa61ec414ed8507a17b44719126ea",
  "tier": "engine_tested",
  "verification": {
    "tests": {
      "passed": 33,
      "total": 33,
      "golden": 14,
      "boundary": 19,
      "property": 0
    },
    "contract_checks": {
      "passed": 6,
      "total": 6
    }
  },
  "evidence_core_generated_at": "2026-10-27T04:15:34.062Z",
  "rendered_at": "2026-10-28T03:01:57.874Z",
  "release_integrity": {
    "status": "verified",
    "scope": "workspace",
    "production_attestation_required": true,
    "calculation_version": "1.0.7",
    "artifacts": {
      "engine": "1.0.7",
      "page": "1.0.7",
      "capability": "1.0.7",
      "evidence": "1.0.7",
      "input_schema": "1.0.7",
      "output_schema": "1.0.7",
      "mcp_contract": "1.0.7"
    },
    "digests": {
      "input_schema_sha256": "d7f0a91df9f97ea561577d07c91bb7270886c6e597b1db4749377c9f4e641a12",
      "output_schema_sha256": "66582a746c086441bd82d72139063a197673f181b866ca4d55f7053a35c625d4",
      "evidence_sha256": "94ae9ea6a52babcb4e498678e523aa39eedefb2aface288d91b9cc6d3bc68468",
      "evidence_core_sha256": "94ae9ea6a52babcb4e498678e523aa39eedefb2aface288d91b9cc6d3bc68468",
      "capability_sha256": "ed39b4f608b057d2fd2e30c4203fad3acd82e6604d1d420c76b63579477495c3",
      "engine_sha256": "c6ebd8436f08b413e1ac6317b2d48550f2e6639a90dff254244e3aa562158b8d",
      "mcp_contract_sha256": "5898d9426fe62990b5c5eed0b7ac18076acb83b29b083b5b4dd52f28efe79ae5"
    },
    "contract_checks": {
      "total": 6,
      "passed": 6,
      "failed": 0,
      "items": [
        {
          "id": "release-artifacts-aligned",
          "status": "pass",
          "detail": "1.0.7"
        },
        {
          "id": "schema-output-required-declared",
          "status": "pass"
        },
        {
          "id": "schema-valid-input-executes",
          "status": "pass"
        },
        {
          "id": "engine-success-output-validates-schema",
          "status": "pass"
        },
        {
          "id": "schema-rejects-incomplete-input",
          "status": "pass"
        },
        {
          "id": "rest-success-payload-validates-schema",
          "status": "pass"
        }
      ]
    },
    "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json"
  },
  "tests": [],
  "disclosure": {
    "policy": "calculatorx-public-evidence-v1",
    "full_validation": "private",
    "representation": "summary"
  }
}
