Average Error: 0.0 → 0.0
Time: 3.6m
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 r10434952 = f;
        double r10434953 = n;
        double r10434954 = r10434952 + r10434953;
        double r10434955 = -r10434954;
        double r10434956 = r10434952 - r10434953;
        double r10434957 = r10434955 / r10434956;
        return r10434957;
}
↓
double f(double f, double n) {
        double r10434958 = f;
        double r10434959 = n;
        double r10434960 = r10434958 + r10434959;
        double r10434961 = r10434958 - r10434959;
        double r10434962 = r10434960 / r10434961;
        double r10434963 = -r10434962;
        double r10434964 = r10434962 * r10434962;
        double r10434965 = r10434963 * r10434964;
        double r10434966 = cbrt(r10434965);
        return r10434966;
}

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 2019124 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))