Average Error: 0.0 → 0.1
Time: 2.6s
Precision: binary64
\[\frac{x - y}{2 - \left(x + y\right)}\]
↓
\[\left(x - y\right) \cdot \frac{1}{2 - \left(x + y\right)}\]
\frac{x - y}{2 - \left(x + y\right)}
↓
\left(x - y\right) \cdot \frac{1}{2 - \left(x + y\right)}
(FPCore (x y) :precision binary64 (/ (- x y) (- 2.0 (+ x y))))
↓
(FPCore (x y) :precision binary64 (* (- x y) (/ 1.0 (- 2.0 (+ x y)))))
double code(double x, double y) {
	return (((double) (x - y)) / ((double) (2.0 - ((double) (x + y)))));
}
↓
double code(double x, double y) {
	return ((double) (((double) (x - y)) * (1.0 / ((double) (2.0 - ((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 Error: 0.0 bits

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

  3. Applied div-invError: 0.1 bits

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

  4. Final simplificationError: 0.1 bits

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

Reproduce

herbie shell --seed 2020204 
(FPCore (x y)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, C"
  :precision binary64

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

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