Average Error: 0.0 → 0.1
Time: 9.7s
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 r56557420 = x;
        double r56557421 = y;
        double r56557422 = r56557420 - r56557421;
        double r56557423 = 2.0;
        double r56557424 = r56557420 + r56557421;
        double r56557425 = r56557423 - r56557424;
        double r56557426 = r56557422 / r56557425;
        return r56557426;
}
↓
double f(double x, double y) {
        double r56557427 = 1.0;
        double r56557428 = 2.0;
        double r56557429 = x;
        double r56557430 = y;
        double r56557431 = r56557429 + r56557430;
        double r56557432 = r56557428 - r56557431;
        double r56557433 = r56557429 - r56557430;
        double r56557434 = r56557432 / r56557433;
        double r56557435 = r56557427 / r56557434;
        return r56557435;
}

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 2019174 
(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))))