Average Error: 0.0 → 0.0
Time: 15.0s
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 r1016076 = f;
        double r1016077 = n;
        double r1016078 = r1016076 + r1016077;
        double r1016079 = -r1016078;
        double r1016080 = r1016076 - r1016077;
        double r1016081 = r1016079 / r1016080;
        return r1016081;
}
↓
double f(double f, double n) {
        double r1016082 = f;
        double r1016083 = n;
        double r1016084 = r1016082 + r1016083;
        double r1016085 = r1016082 - r1016083;
        double r1016086 = r1016084 / r1016085;
        double r1016087 = -r1016086;
        double r1016088 = r1016086 * r1016086;
        double r1016089 = r1016087 * r1016088;
        double r1016090 = cbrt(r1016089);
        return r1016090;
}

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 2019158 
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))