Average Error: 0.0 → 0.0
Time: 2.2s
Precision: binary64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\frac{f + n}{n - f}\]

Error

Bits error versus f

Bits error versus n

Derivation

  1. Initial program 0.0

    \[\frac{-\left(f + n\right)}{f - n}\]

  2. Simplified0.0

    \[\leadsto \color{blue}{\frac{f + n}{n - f}}\]

  3. Final simplification0.0

    \[\leadsto \frac{f + n}{n - f}\]

Reproduce

herbie shell --seed 2020184 
(FPCore (f n)
  :name "subtraction fraction"
  :precision binary64
  (/ (neg (+ f n)) (- f n)))