Average Error: 0.0 → 0.0
Time: 4.1m
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 r7906920 = f;
        double r7906921 = n;
        double r7906922 = r7906920 + r7906921;
        double r7906923 = -r7906922;
        double r7906924 = r7906920 - r7906921;
        double r7906925 = r7906923 / r7906924;
        return r7906925;
}
↓
double f(double f, double n) {
        double r7906926 = -1.0;
        double r7906927 = f;
        double r7906928 = n;
        double r7906929 = r7906927 + r7906928;
        double r7906930 = r7906927 / r7906929;
        double r7906931 = r7906928 / r7906929;
        double r7906932 = r7906930 - r7906931;
        double r7906933 = r7906926 / r7906932;
        return r7906933;
}

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 2019112 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))