Average Error: 0.0 → 0.0
Time: 3.9s
Precision: 64
\[\frac{x - y}{2 - \left(x + y\right)}\]
↓
\[\frac{x}{2 - \left(x + y\right)} - \frac{y}{2 - \left(x + y\right)}\]
\frac{x - y}{2 - \left(x + y\right)}
↓
\frac{x}{2 - \left(x + y\right)} - \frac{y}{2 - \left(x + y\right)}
double f(double x, double y) {
        double r776234 = x;
        double r776235 = y;
        double r776236 = r776234 - r776235;
        double r776237 = 2.0;
        double r776238 = r776234 + r776235;
        double r776239 = r776237 - r776238;
        double r776240 = r776236 / r776239;
        return r776240;
}
↓
double f(double x, double y) {
        double r776241 = x;
        double r776242 = 2.0;
        double r776243 = y;
        double r776244 = r776241 + r776243;
        double r776245 = r776242 - r776244;
        double r776246 = r776241 / r776245;
        double r776247 = r776243 / r776245;
        double r776248 = r776246 - r776247;
        return r776248;
}

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
Herbie0.0
\[\frac{x}{2 - \left(x + y\right)} - \frac{y}{2 - \left(x + y\right)}\]

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2020089 +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))))