Average Error: 0.0 → 0.5
Time: 13.2s
Precision: 64
\[\frac{x - y}{2 - \left(x + y\right)}\]
↓
\[\left(\sqrt[3]{\frac{x}{2 - \left(x + y\right)} - \frac{y}{2 - \left(x + y\right)}} \cdot \sqrt[3]{\frac{x}{2 - \left(x + y\right)} - \frac{y}{2 - \left(x + y\right)}}\right) \cdot \sqrt[3]{\frac{x}{2 - \left(x + y\right)} - \frac{y}{2 - \left(x + y\right)}}\]
\frac{x - y}{2 - \left(x + y\right)}
↓
\left(\sqrt[3]{\frac{x}{2 - \left(x + y\right)} - \frac{y}{2 - \left(x + y\right)}} \cdot \sqrt[3]{\frac{x}{2 - \left(x + y\right)} - \frac{y}{2 - \left(x + y\right)}}\right) \cdot \sqrt[3]{\frac{x}{2 - \left(x + y\right)} - \frac{y}{2 - \left(x + y\right)}}
double f(double x, double y) {
        double r538619 = x;
        double r538620 = y;
        double r538621 = r538619 - r538620;
        double r538622 = 2.0;
        double r538623 = r538619 + r538620;
        double r538624 = r538622 - r538623;
        double r538625 = r538621 / r538624;
        return r538625;
}
↓
double f(double x, double y) {
        double r538626 = x;
        double r538627 = 2.0;
        double r538628 = y;
        double r538629 = r538626 + r538628;
        double r538630 = r538627 - r538629;
        double r538631 = r538626 / r538630;
        double r538632 = r538628 / r538630;
        double r538633 = r538631 - r538632;
        double r538634 = cbrt(r538633);
        double r538635 = r538634 * r538634;
        double r538636 = r538635 * r538634;
        return r538636;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.5
\[\frac{x}{2 - \left(x + y\right)} - \frac{y}{2 - \left(x + y\right)}\]

Derivation

  1. Initial program 0.0

    \[\frac{x - y}{2 - \left(x + y\right)}\]
  2. Using strategy rm

  3. Applied div-sub0.0

    \[\leadsto \color{blue}{\frac{x}{2 - \left(x + y\right)} - \frac{y}{2 - \left(x + y\right)}}\]
  4. Using strategy rm

  5. Applied add-cube-cbrt0.5

    \[\leadsto \color{blue}{\left(\sqrt[3]{\frac{x}{2 - \left(x + y\right)} - \frac{y}{2 - \left(x + y\right)}} \cdot \sqrt[3]{\frac{x}{2 - \left(x + y\right)} - \frac{y}{2 - \left(x + y\right)}}\right) \cdot \sqrt[3]{\frac{x}{2 - \left(x + y\right)} - \frac{y}{2 - \left(x + y\right)}}}\]

  6. Final simplification0.5

    \[\leadsto \left(\sqrt[3]{\frac{x}{2 - \left(x + y\right)} - \frac{y}{2 - \left(x + y\right)}} \cdot \sqrt[3]{\frac{x}{2 - \left(x + y\right)} - \frac{y}{2 - \left(x + y\right)}}\right) \cdot \sqrt[3]{\frac{x}{2 - \left(x + y\right)} - \frac{y}{2 - \left(x + y\right)}}\]

Reproduce

herbie shell --seed 2019326 
(FPCore (x y)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, C"
  :precision binary64

  :herbie-target
  (- (/ x (- 2 (+ x y))) (/ y (- 2 (+ x y))))

  (/ (- x y) (- 2 (+ x y))))