Average Error: 0.0 → 0.0
Time: 21.5s
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 r976943 = f;
        double r976944 = n;
        double r976945 = r976943 + r976944;
        double r976946 = -r976945;
        double r976947 = r976943 - r976944;
        double r976948 = r976946 / r976947;
        return r976948;
}
↓
double f(double f, double n) {
        double r976949 = f;
        double r976950 = n;
        double r976951 = r976949 + r976950;
        double r976952 = r976949 - r976950;
        double r976953 = r976951 / r976952;
        double r976954 = -r976953;
        double r976955 = r976953 * r976953;
        double r976956 = r976954 * r976955;
        double r976957 = cbrt(r976956);
        return r976957;
}

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 2019135 +o rules:numerics
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))