Average Error: 0.0 → 0.0
Time: 8.4s
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 r31710 = f;
        double r31711 = n;
        double r31712 = r31710 + r31711;
        double r31713 = -r31712;
        double r31714 = r31710 - r31711;
        double r31715 = r31713 / r31714;
        return r31715;
}
↓
double f(double f, double n) {
        double r31716 = 1.0;
        double r31717 = f;
        double r31718 = n;
        double r31719 = r31717 - r31718;
        double r31720 = r31717 + r31718;
        double r31721 = -r31720;
        double r31722 = r31719 / r31721;
        double r31723 = r31716 / r31722;
        return r31723;
}

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 2019354 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  :precision binary64
  (/ (- (+ f n)) (- f n)))