Average Error: 0.0 → 0.0
Time: 15.6s
Precision: 64
Internal Precision: 128
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\frac{-1}{\frac{f}{f + n} - \frac{n}{f + n}}\]

Error

Bits error versus f

Bits error versus n

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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 *-un-lft-identity0.0

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

  5. Applied associate-/l*0.0

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

  7. Applied div-sub0.0

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

  8. Final simplification0.0

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

Runtime

Time bar (total: 15.6s)Debug logProfile

BaselineHerbieOracleSpan%
Regimes0.00.00.00.00%
herbie shell --seed 2018352 
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))