Average Error: 0.0 → 0.0
Time: 9.8s
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 r42762 = f;
        double r42763 = n;
        double r42764 = r42762 + r42763;
        double r42765 = -r42764;
        double r42766 = r42762 - r42763;
        double r42767 = r42765 / r42766;
        return r42767;
}
↓
double f(double f, double n) {
        double r42768 = 1.0;
        double r42769 = f;
        double r42770 = n;
        double r42771 = r42769 - r42770;
        double r42772 = r42769 + r42770;
        double r42773 = -r42772;
        double r42774 = r42771 / r42773;
        double r42775 = r42768 / r42774;
        return r42775;
}

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 2020056 
(FPCore (f n)
  :name "subtraction fraction"
  :precision binary64
  (/ (- (+ f n)) (- f n)))