Average Error: 0.0 → 0.0
Time: 1.3m
Precision: 64
Internal Precision: 576
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\sqrt[3]{\left(\frac{n + f}{f - n} \cdot \frac{n + f}{f - n}\right) \cdot \frac{-\left(n + f\right)}{f - n}}\]

Error

Bits error versus f

Bits error versus n

Derivation

  1. Initial program 0.0

    \[\frac{-\left(f + n\right)}{f - n}\]
  2. Using strategy rm

  3. Applied add-cbrt-cube0.0

    \[\leadsto \color{blue}{\sqrt[3]{\left(\frac{-\left(f + n\right)}{f - n} \cdot \frac{-\left(f + n\right)}{f - n}\right) \cdot \frac{-\left(f + n\right)}{f - n}}}\]

  4. Applied simplify0.0

    \[\leadsto \sqrt[3]{\color{blue}{\left(\frac{n + f}{f - n} \cdot \frac{n + f}{f - n}\right) \cdot \frac{-\left(n + f\right)}{f - n}}}\]

Runtime

Time bar (total: 1.3m)Debug logProfile

herbie shell --seed '#(1071246582 2318319007 2683472949 3810440501 3233274817 2724848749)' 
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))