Average Error: 0.0 → 0.1
Time: 11.7s
Precision: 64
\[\frac{x - y}{2 - \left(x + y\right)}\]
↓
\[\frac{1}{\frac{2 - \left(x + y\right)}{x - y}}\]
\frac{x - y}{2 - \left(x + y\right)}
↓
\frac{1}{\frac{2 - \left(x + y\right)}{x - y}}
double f(double x, double y) {
        double r617838 = x;
        double r617839 = y;
        double r617840 = r617838 - r617839;
        double r617841 = 2.0;
        double r617842 = r617838 + r617839;
        double r617843 = r617841 - r617842;
        double r617844 = r617840 / r617843;
        return r617844;
}
↓
double f(double x, double y) {
        double r617845 = 1.0;
        double r617846 = 2.0;
        double r617847 = x;
        double r617848 = y;
        double r617849 = r617847 + r617848;
        double r617850 = r617846 - r617849;
        double r617851 = r617847 - r617848;
        double r617852 = r617850 / r617851;
        double r617853 = r617845 / r617852;
        return r617853;
}

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
Herbie0.1
\[\frac{x}{2 - \left(x + y\right)} - \frac{y}{2 - \left(x + y\right)}\]

Derivation

  1. Initial program 0.0

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

  3. Applied clear-num0.1

    \[\leadsto \color{blue}{\frac{1}{\frac{2 - \left(x + y\right)}{x - y}}}\]

  4. Final simplification0.1

    \[\leadsto \frac{1}{\frac{2 - \left(x + y\right)}{x - y}}\]

Reproduce

herbie shell --seed 2019347 +o rules:numerics
(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))))