Floating-Point Analysis

SkillDev tools

Rigorous floating-point error analysis

Instructions available. Your AI can read the instructions. Execution depends on the setup they require.

Add ahel to your AI once: Claude, ChatGPT, Cursor, Claude Code or Codex. Then ask it to use this.

Then ask your AI: use the Floating-Point Analysis skill

What this skill tells your AI

The instructions your AI receives, as published by a5c-ai/babysitter in library/specializations/domains/science/mathematics/skills/floating-point-analysis/SKILL.md and read by ahel’s review.

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

Signals

GitHub stars
2k
Forks
112
Last commit
Sep 2026
Advanced
Item type
skill
Key
floating-point-analysis
Source
github.com/a5c-ai/babysitter