Average Error: 0.0 → 0.1
Time: 3.2s
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 code(double x, double y) {
	return ((double) (((double) (x - y)) / ((double) (2.0 - ((double) (x + y))))));
}
↓
double code(double x, double y) {
	return ((double) (1.0 / ((double) (((double) (2.0 - ((double) (x + y)))) / ((double) (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
Herbie0.1
\[\frac{x}{2 - \left(x + y\right)} - \frac{y}{2 - \left(x + y\right)}\]

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 2020121 +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))))