Average Error: 0.0 → 0.0
Time: 2.1m
Precision: 64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\sqrt[3]{\left(-\frac{n + f}{f - n}\right) \cdot \left(\frac{n + f}{f - n} \cdot \frac{n + f}{f - n}\right)}\]
\frac{-\left(f + n\right)}{f - n}
↓
\sqrt[3]{\left(-\frac{n + f}{f - n}\right) \cdot \left(\frac{n + f}{f - n} \cdot \frac{n + f}{f - n}\right)}
double f(double f, double n) {
        double r7488952 = f;
        double r7488953 = n;
        double r7488954 = r7488952 + r7488953;
        double r7488955 = -r7488954;
        double r7488956 = r7488952 - r7488953;
        double r7488957 = r7488955 / r7488956;
        return r7488957;
}
↓
double f(double f, double n) {
        double r7488958 = n;
        double r7488959 = f;
        double r7488960 = r7488958 + r7488959;
        double r7488961 = r7488959 - r7488958;
        double r7488962 = r7488960 / r7488961;
        double r7488963 = -r7488962;
        double r7488964 = r7488962 * r7488962;
        double r7488965 = r7488963 * r7488964;
        double r7488966 = cbrt(r7488965);
        return r7488966;
}

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-cube40.5

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

  4. Applied add-cbrt-cube40.7

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

  5. Applied cbrt-undiv40.7

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

  6. Simplified0.0

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

  7. Final simplification0.0

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

Reproduce

herbie shell --seed 2019158 
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))