Average Error: 0.0 → 0.0
Time: 10.0s
Precision: 64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\frac{-1}{\frac{f - n}{f + n}}\]
\frac{-\left(f + n\right)}{f - n}
↓
\frac{-1}{\frac{f - n}{f + n}}
double f(double f, double n) {
        double r435789 = f;
        double r435790 = n;
        double r435791 = r435789 + r435790;
        double r435792 = -r435791;
        double r435793 = r435789 - r435790;
        double r435794 = r435792 / r435793;
        return r435794;
}
↓
double f(double f, double n) {
        double r435795 = -1.0;
        double r435796 = f;
        double r435797 = n;
        double r435798 = r435796 - r435797;
        double r435799 = r435796 + r435797;
        double r435800 = r435798 / r435799;
        double r435801 = r435795 / r435800;
        return r435801;
}

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 neg-mul-10.0

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

  4. Applied associate-/l*0.0

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

  5. Final simplification0.0

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

Reproduce

herbie shell --seed 2019156 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))