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floating-point-analysis

Testing & Quality
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Rigorous floating-point error analysis

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Source SKILL.md: https://github.com/a5c-ai/babysitter/blob/HEAD/library/specializations/domains/science/mathematics/skills/floating-point-analysis/SKILL.md

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Floating-Point Analysis

Purpose

Provides rigorous floating-point error analysis capabilities for numerical algorithm verification and accuracy assessment.

Capabilities

  • IEEE 754 arithmetic modeling
  • Roundoff error accumulation tracking
  • Interval arithmetic computation
  • Arbitrary precision arithmetic
  • Numerical condition number computation
  • Error bound derivation

Usage Guidelines

  1. Error Modeling: Model floating-point operations precisely
  2. Interval Arithmetic: Use interval bounds for guaranteed accuracy
  3. High Precision: Employ arbitrary precision for validation
  4. Error Bounds: Derive forward and backward error bounds

Tools/Libraries

  • MPFR
  • Arb
  • Herbie
  • FPBench