Average Error: 0.0 → 0.0
Time: 28.5s
Precision: 64
Internal Precision: 128
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\frac{\frac{-1}{f - n}}{\frac{1}{f + n}}\]

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. Initial simplification0.0

    \[\leadsto -\frac{n + f}{f - n}\]
  3. Using strategy rm

  4. Applied clear-num0.0

    \[\leadsto -\color{blue}{\frac{1}{\frac{f - n}{n + f}}}\]
  5. Using strategy rm

  6. Applied div-inv0.2

    \[\leadsto -\frac{1}{\color{blue}{\left(f - n\right) \cdot \frac{1}{n + f}}}\]

  7. Applied associate-/r*0.0

    \[\leadsto -\color{blue}{\frac{\frac{1}{f - n}}{\frac{1}{n + f}}}\]

  8. Final simplification0.0

    \[\leadsto \frac{\frac{-1}{f - n}}{\frac{1}{f + n}}\]

Runtime

Time bar (total: 28.5s)Debug logProfile

BaselineHerbieOracleSpan%
Regimes0.00.00.00.00%
herbie shell --seed 2018354 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))