Agent skill
floating-point-analysis
Rigorous floating-point error analysis
Install this agent skill to your Project
npx add-skill https://github.com/a5c-ai/babysitter/tree/main/library/specializations/domains/science/mathematics/skills/floating-point-analysis
Metadata
Additional technical details for this skill
- phase
- 6
- domain
- science
- category
- numerical-analysis
- specialization
- mathematics
SKILL.md
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
- Error Modeling: Model floating-point operations precisely
- Interval Arithmetic: Use interval bounds for guaranteed accuracy
- High Precision: Employ arbitrary precision for validation
- Error Bounds: Derive forward and backward error bounds
Tools/Libraries
- MPFR
- Arb
- Herbie
- FPBench
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