Average Error: 0.0 → 0.0
Time: 21.6s
Precision: 64
\[\frac{x - y}{2.0 - \left(x + y\right)}\]
↓
\[\frac{x}{2.0 - \left(x + y\right)} - \frac{y}{2.0 - \left(x + y\right)}\]
\frac{x - y}{2.0 - \left(x + y\right)}
↓
\frac{x}{2.0 - \left(x + y\right)} - \frac{y}{2.0 - \left(x + y\right)}
double f(double x, double y) {
        double r40349862 = x;
        double r40349863 = y;
        double r40349864 = r40349862 - r40349863;
        double r40349865 = 2.0;
        double r40349866 = r40349862 + r40349863;
        double r40349867 = r40349865 - r40349866;
        double r40349868 = r40349864 / r40349867;
        return r40349868;
}
↓
double f(double x, double y) {
        double r40349869 = x;
        double r40349870 = 2.0;
        double r40349871 = y;
        double r40349872 = r40349869 + r40349871;
        double r40349873 = r40349870 - r40349872;
        double r40349874 = r40349869 / r40349873;
        double r40349875 = r40349871 / r40349873;
        double r40349876 = r40349874 - r40349875;
        return r40349876;
}

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
\[\frac{x}{2.0 - \left(x + y\right)} - \frac{y}{2.0 - \left(x + y\right)}\]

Derivation

  1. Initial program 0.0

    \[\frac{x - y}{2.0 - \left(x + y\right)}\]
  2. Using strategy rm

  3. Applied div-sub0.0

    \[\leadsto \color{blue}{\frac{x}{2.0 - \left(x + y\right)} - \frac{y}{2.0 - \left(x + y\right)}}\]

  4. Final simplification0.0

    \[\leadsto \frac{x}{2.0 - \left(x + y\right)} - \frac{y}{2.0 - \left(x + y\right)}\]

Reproduce

herbie shell --seed 2019164 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, C"

  :herbie-target
  (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

  (/ (- x y) (- 2.0 (+ x y))))