Average Error: 0.0 → 0.0
Time: 4.2s
Precision: 64
\[\frac{x - y}{2 - \left(x + y\right)}\]
↓
\[\frac{x - y}{2 - \left(x + y\right)}\]
\frac{x - y}{2 - \left(x + y\right)}
↓
\frac{x - y}{2 - \left(x + y\right)}
double f(double x, double y) {
        double r786226 = x;
        double r786227 = y;
        double r786228 = r786226 - r786227;
        double r786229 = 2.0;
        double r786230 = r786226 + r786227;
        double r786231 = r786229 - r786230;
        double r786232 = r786228 / r786231;
        return r786232;
}
↓
double f(double x, double y) {
        double r786233 = x;
        double r786234 = y;
        double r786235 = r786233 - r786234;
        double r786236 = 2.0;
        double r786237 = r786233 + r786234;
        double r786238 = r786236 - r786237;
        double r786239 = r786235 / r786238;
        return r786239;
}

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. Using strategy rm

  5. Applied sub-div0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2020001 +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))))