Average Error: 0.0 → 0.0
Time: 15.6s
Precision: 64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\frac{-1}{\frac{f}{f + n} - \frac{n}{f + n}}\]
\frac{-\left(f + n\right)}{f - n}
↓
\frac{-1}{\frac{f}{f + n} - \frac{n}{f + n}}
double f(double f, double n) {
        double r868793 = f;
        double r868794 = n;
        double r868795 = r868793 + r868794;
        double r868796 = -r868795;
        double r868797 = r868793 - r868794;
        double r868798 = r868796 / r868797;
        return r868798;
}
↓
double f(double f, double n) {
        double r868799 = -1.0;
        double r868800 = f;
        double r868801 = n;
        double r868802 = r868800 + r868801;
        double r868803 = r868800 / r868802;
        double r868804 = r868801 / r868802;
        double r868805 = r868803 - r868804;
        double r868806 = r868799 / r868805;
        return r868806;
}

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. Using strategy rm

  6. Applied div-sub0.0

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

  7. Final simplification0.0

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

Reproduce

herbie shell --seed 2019170 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))