Average Error: 0.0 → 0.1
Time: 21.8s
Precision: 64
\[\frac{-\left(f + n\right)}{f - n}\]
↓
\[\left(\sqrt[3]{\frac{-\left(f + n\right)}{f - n}} \cdot \sqrt[3]{\frac{-\left(f + n\right)}{f - n}}\right) \cdot \sqrt[3]{\frac{-\left(f + n\right)}{f - n}}\]
\frac{-\left(f + n\right)}{f - n}
↓
\left(\sqrt[3]{\frac{-\left(f + n\right)}{f - n}} \cdot \sqrt[3]{\frac{-\left(f + n\right)}{f - n}}\right) \cdot \sqrt[3]{\frac{-\left(f + n\right)}{f - n}}
double f(double f, double n) {
        double r1060447 = f;
        double r1060448 = n;
        double r1060449 = r1060447 + r1060448;
        double r1060450 = -r1060449;
        double r1060451 = r1060447 - r1060448;
        double r1060452 = r1060450 / r1060451;
        return r1060452;
}
↓
double f(double f, double n) {
        double r1060453 = f;
        double r1060454 = n;
        double r1060455 = r1060453 + r1060454;
        double r1060456 = -r1060455;
        double r1060457 = r1060453 - r1060454;
        double r1060458 = r1060456 / r1060457;
        double r1060459 = cbrt(r1060458);
        double r1060460 = r1060459 * r1060459;
        double r1060461 = r1060460 * r1060459;
        return r1060461;
}

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-cube-cbrt0.1

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

  4. Final simplification0.1

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

Reproduce

herbie shell --seed 2019200 
(FPCore (f n)
  :name "subtraction fraction"
  (/ (- (+ f n)) (- f n)))