Average Error: 0.0 → 0.0
Time: 19.2s
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 r641597 = x;
        double r641598 = y;
        double r641599 = r641597 - r641598;
        double r641600 = 2.0;
        double r641601 = r641597 + r641598;
        double r641602 = r641600 - r641601;
        double r641603 = r641599 / r641602;
        return r641603;
}
↓
double f(double x, double y) {
        double r641604 = x;
        double r641605 = 2.0;
        double r641606 = y;
        double r641607 = r641604 + r641606;
        double r641608 = r641605 - r641607;
        double r641609 = r641604 / r641608;
        double r641610 = r641606 / r641608;
        double r641611 = r641609 - r641610;
        return r641611;
}

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 2019326 +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))))