Average Error: 0.0 → 0.2
Time: 2.6s
Precision: 64
\[\frac{x - y}{2 - \left(x + y\right)}\]
↓
\[\frac{1}{2 - \left(x + y\right)} \cdot \left(x - y\right)\]
\frac{x - y}{2 - \left(x + y\right)}
↓
\frac{1}{2 - \left(x + y\right)} \cdot \left(x - y\right)
double code(double x, double y) {
	return ((x - y) / (2.0 - (x + y)));
}
↓
double code(double x, double y) {
	return ((1.0 / (2.0 - (x + y))) * (x - y));
}

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

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 div-inv0.1

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

  6. Applied div-inv0.2

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

  7. Applied distribute-rgt-out--0.2

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

  8. Final simplification0.2

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

Reproduce

herbie shell --seed 2020060 
(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))))