Average Error: 0.0 → 0.1
Time: 55.4s
Precision: 64
Internal Precision: 128
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\left(\sqrt[3]{-\frac{n + f}{f - n}} \cdot \sqrt[3]{-\frac{n + f}{f - n}}\right) \cdot \sqrt[3]{-\frac{n + f}{f - n}}\]

Error

Bits error versus f

Bits error versus n

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

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

  3. Applied add-cube-cbrt0.1

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

  4. Final simplification0.1

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

Runtime

Time bar (total: 55.4s)Debug logProfile

herbie shell --seed 2018258 
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))