Average Error: 0.0 → 0.0
Time: 12.3s
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 r444149 = f;
        double r444150 = n;
        double r444151 = r444149 + r444150;
        double r444152 = -r444151;
        double r444153 = r444149 - r444150;
        double r444154 = r444152 / r444153;
        return r444154;
}
↓
double f(double f, double n) {
        double r444155 = f;
        double r444156 = n;
        double r444157 = r444155 + r444156;
        double r444158 = r444155 - r444156;
        double r444159 = r444157 / r444158;
        double r444160 = r444159 * r444159;
        double r444161 = -r444159;
        double r444162 = r444160 * r444161;
        double r444163 = cbrt(r444162);
        return r444163;
}

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-cube41.5

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

  4. Applied add-cbrt-cube41.7

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

  5. Applied cbrt-undiv41.7

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

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