Average Error: 0.0 → 0.0
Time: 21.3s
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 r826909 = f;
        double r826910 = n;
        double r826911 = r826909 + r826910;
        double r826912 = -r826911;
        double r826913 = r826909 - r826910;
        double r826914 = r826912 / r826913;
        return r826914;
}
↓
double f(double f, double n) {
        double r826915 = -1.0;
        double r826916 = f;
        double r826917 = n;
        double r826918 = r826916 - r826917;
        double r826919 = r826916 + r826917;
        double r826920 = r826918 / r826919;
        double r826921 = r826915 / r826920;
        return r826921;
}

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 2019146 
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))