Average Error: 0.0 → 0.0
Time: 4.0s
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 r750173 = x;
        double r750174 = y;
        double r750175 = r750173 - r750174;
        double r750176 = 2.0;
        double r750177 = r750173 + r750174;
        double r750178 = r750176 - r750177;
        double r750179 = r750175 / r750178;
        return r750179;
}
↓
double f(double x, double y) {
        double r750180 = x;
        double r750181 = y;
        double r750182 = r750180 - r750181;
        double r750183 = 2.0;
        double r750184 = r750180 + r750181;
        double r750185 = r750183 - r750184;
        double r750186 = r750182 / r750185;
        return r750186;
}

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))))