Average Error: 0.0 → 0.0
Time: 3.2s
Precision: 64
\[\frac{x - y}{2 - \left(x + y\right)}\]
↓
\[\frac{x}{2 - \left(x + y\right)} - \frac{y}{2 - \left(x + y\right)}\]
\frac{x - y}{2 - \left(x + y\right)}
↓
\frac{x}{2 - \left(x + y\right)} - \frac{y}{2 - \left(x + y\right)}
double f(double x, double y) {
        double r873816 = x;
        double r873817 = y;
        double r873818 = r873816 - r873817;
        double r873819 = 2.0;
        double r873820 = r873816 + r873817;
        double r873821 = r873819 - r873820;
        double r873822 = r873818 / r873821;
        return r873822;
}
↓
double f(double x, double y) {
        double r873823 = x;
        double r873824 = 2.0;
        double r873825 = y;
        double r873826 = r873823 + r873825;
        double r873827 = r873824 - r873826;
        double r873828 = r873823 / r873827;
        double r873829 = r873825 / r873827;
        double r873830 = r873828 - r873829;
        return r873830;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

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

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2020062 
(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))))