Average Error: 0.0 → 0.0
Time: 13.9s
Precision: 64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\sqrt[3]{\left(\frac{f + n}{f - n} \cdot \frac{f + n}{f - n}\right) \cdot \left(-\frac{f + n}{f - n}\right)}\]
\frac{-\left(f + n\right)}{f - n}
↓
\sqrt[3]{\left(\frac{f + n}{f - n} \cdot \frac{f + n}{f - n}\right) \cdot \left(-\frac{f + n}{f - n}\right)}
double f(double f, double n) {
        double r672127 = f;
        double r672128 = n;
        double r672129 = r672127 + r672128;
        double r672130 = -r672129;
        double r672131 = r672127 - r672128;
        double r672132 = r672130 / r672131;
        return r672132;
}
↓
double f(double f, double n) {
        double r672133 = f;
        double r672134 = n;
        double r672135 = r672133 + r672134;
        double r672136 = r672133 - r672134;
        double r672137 = r672135 / r672136;
        double r672138 = r672137 * r672137;
        double r672139 = -r672137;
        double r672140 = r672138 * r672139;
        double r672141 = cbrt(r672140);
        return r672141;
}

Error

Bits error versus f

Bits error versus n

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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-cube41.2

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

  4. Applied add-cbrt-cube41.4

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

  5. Applied cbrt-undiv41.4

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

  6. Simplified0.0

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

  7. Final simplification0.0

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

Reproduce

herbie shell --seed 2019152 
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))