Average Error: 0.0 → 0.0
Time: 11.6s
Precision: 64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\frac{-\left(f + n\right)}{f - n}\]
\frac{-\left(f + n\right)}{f - n}
↓
\frac{-\left(f + n\right)}{f - n}
double f(double f, double n) {
        double r24913 = f;
        double r24914 = n;
        double r24915 = r24913 + r24914;
        double r24916 = -r24915;
        double r24917 = r24913 - r24914;
        double r24918 = r24916 / r24917;
        return r24918;
}
↓
double f(double f, double n) {
        double r24919 = f;
        double r24920 = n;
        double r24921 = r24919 + r24920;
        double r24922 = -r24921;
        double r24923 = r24919 - r24920;
        double r24924 = r24922 / r24923;
        return r24924;
}

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

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

Reproduce

herbie shell --seed 2019294 
(FPCore (f n)
  :name "subtraction fraction"
  :precision binary64
  (/ (- (+ f n)) (- f n)))