Average Error: 0.0 → 0.0
Time: 15.3s
Precision: 64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\sqrt[3]{\left(-\frac{f + n}{f - n}\right) \cdot \left(\frac{f + n}{f - n} \cdot \frac{f + n}{f - n}\right)}\]
\frac{-\left(f + n\right)}{f - n}
↓
\sqrt[3]{\left(-\frac{f + n}{f - n}\right) \cdot \left(\frac{f + n}{f - n} \cdot \frac{f + n}{f - n}\right)}
double f(double f, double n) {
        double r659285 = f;
        double r659286 = n;
        double r659287 = r659285 + r659286;
        double r659288 = -r659287;
        double r659289 = r659285 - r659286;
        double r659290 = r659288 / r659289;
        return r659290;
}
↓
double f(double f, double n) {
        double r659291 = f;
        double r659292 = n;
        double r659293 = r659291 + r659292;
        double r659294 = r659291 - r659292;
        double r659295 = r659293 / r659294;
        double r659296 = -r659295;
        double r659297 = r659295 * r659295;
        double r659298 = r659296 * r659297;
        double r659299 = cbrt(r659298);
        return r659299;
}

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 add-cbrt-cube0.0

    \[\leadsto \color{blue}{\sqrt[3]{\left(\frac{-\left(f + n\right)}{f - n} \cdot \frac{-\left(f + n\right)}{f - n}\right) \cdot \frac{-\left(f + n\right)}{f - n}}}\]

  4. Final simplification0.0

    \[\leadsto \sqrt[3]{\left(-\frac{f + n}{f - n}\right) \cdot \left(\frac{f + n}{f - n} \cdot \frac{f + n}{f - n}\right)}\]

Reproduce

herbie shell --seed 2019134 
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))