Average Error: 0.0 → 0.0
Time: 17.4s
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 r797013 = f;
        double r797014 = n;
        double r797015 = r797013 + r797014;
        double r797016 = -r797015;
        double r797017 = r797013 - r797014;
        double r797018 = r797016 / r797017;
        return r797018;
}
↓
double f(double f, double n) {
        double r797019 = f;
        double r797020 = n;
        double r797021 = r797019 + r797020;
        double r797022 = r797019 - r797020;
        double r797023 = r797021 / r797022;
        double r797024 = -r797023;
        double r797025 = r797023 * r797023;
        double r797026 = r797024 * r797025;
        double r797027 = cbrt(r797026);
        return r797027;
}

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