Average Error: 0.0 → 0.0
Time: 14.0s
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 r429575 = f;
        double r429576 = n;
        double r429577 = r429575 + r429576;
        double r429578 = -r429577;
        double r429579 = r429575 - r429576;
        double r429580 = r429578 / r429579;
        return r429580;
}
↓
double f(double f, double n) {
        double r429581 = f;
        double r429582 = n;
        double r429583 = r429581 + r429582;
        double r429584 = r429581 - r429582;
        double r429585 = r429583 / r429584;
        double r429586 = -r429585;
        double r429587 = r429585 * r429585;
        double r429588 = r429586 * r429587;
        double r429589 = cbrt(r429588);
        return r429589;
}

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 2019149 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))