Average Error: 0.0 → 0.0
Time: 1.0m
Precision: 64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\sqrt[3]{\left(-\frac{f + n}{f - n} \cdot \frac{f + n}{f - n}\right) \cdot \frac{f + n}{f - n}}\]
\frac{-\left(f + n\right)}{f - n}
↓
\sqrt[3]{\left(-\frac{f + n}{f - n} \cdot \frac{f + n}{f - n}\right) \cdot \frac{f + n}{f - n}}
double f(double f, double n) {
        double r2702816 = f;
        double r2702817 = n;
        double r2702818 = r2702816 + r2702817;
        double r2702819 = -r2702818;
        double r2702820 = r2702816 - r2702817;
        double r2702821 = r2702819 / r2702820;
        return r2702821;
}
↓
double f(double f, double n) {
        double r2702822 = f;
        double r2702823 = n;
        double r2702824 = r2702822 + r2702823;
        double r2702825 = r2702822 - r2702823;
        double r2702826 = r2702824 / r2702825;
        double r2702827 = r2702826 * r2702826;
        double r2702828 = -r2702827;
        double r2702829 = r2702828 * r2702826;
        double r2702830 = cbrt(r2702829);
        return r2702830;
}

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-cube41.4

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

  4. Applied add-cbrt-cube41.6

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

  5. Applied cbrt-undiv41.6

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

  6. Simplified0.0

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

  7. Final simplification0.0

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

Reproduce

herbie shell --seed 2019124 
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))