Average Error: 0.0 → 0.0
Time: 9.1s
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 r37104 = f;
        double r37105 = n;
        double r37106 = r37104 + r37105;
        double r37107 = -r37106;
        double r37108 = r37104 - r37105;
        double r37109 = r37107 / r37108;
        return r37109;
}
↓
double f(double f, double n) {
        double r37110 = 1.0;
        double r37111 = f;
        double r37112 = n;
        double r37113 = r37111 - r37112;
        double r37114 = r37111 + r37112;
        double r37115 = -r37114;
        double r37116 = r37113 / r37115;
        double r37117 = r37110 / r37116;
        return r37117;
}

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