Average Error: 0.0 → 0.0
Time: 5.0s
Precision: 64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\frac{1}{\frac{f - n}{-\left(f + n\right)}}\]
\frac{-\left(f + n\right)}{f - n}
↓
\frac{1}{\frac{f - n}{-\left(f + n\right)}}
double f(double f, double n) {
        double r18850 = f;
        double r18851 = n;
        double r18852 = r18850 + r18851;
        double r18853 = -r18852;
        double r18854 = r18850 - r18851;
        double r18855 = r18853 / r18854;
        return r18855;
}
↓
double f(double f, double n) {
        double r18856 = 1.0;
        double r18857 = f;
        double r18858 = n;
        double r18859 = r18857 - r18858;
        double r18860 = r18857 + r18858;
        double r18861 = -r18860;
        double r18862 = r18859 / r18861;
        double r18863 = r18856 / r18862;
        return r18863;
}

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 clear-num0.0

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

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2020034 
(FPCore (f n)
  :name "subtraction fraction"
  :precision binary64
  (/ (- (+ f n)) (- f n)))