Average Error: 0.0 → 0.5
Time: 16.3s
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 r528431 = x;
        double r528432 = y;
        double r528433 = r528431 - r528432;
        double r528434 = 2.0;
        double r528435 = r528431 + r528432;
        double r528436 = r528434 - r528435;
        double r528437 = r528433 / r528436;
        return r528437;
}
↓
double f(double x, double y) {
        double r528438 = x;
        double r528439 = 2.0;
        double r528440 = y;
        double r528441 = r528438 + r528440;
        double r528442 = r528439 - r528441;
        double r528443 = r528438 / r528442;
        double r528444 = r528440 / r528442;
        double r528445 = r528443 - r528444;
        double r528446 = cbrt(r528445);
        double r528447 = r528446 * r528446;
        double r528448 = r528447 * r528446;
        return r528448;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

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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))))