Average Error: 0.0 → 0.0
Time: 10.6s
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 r549626 = x;
        double r549627 = y;
        double r549628 = r549626 - r549627;
        double r549629 = 2.0;
        double r549630 = r549626 + r549627;
        double r549631 = r549629 - r549630;
        double r549632 = r549628 / r549631;
        return r549632;
}
↓
double f(double x, double y) {
        double r549633 = x;
        double r549634 = 2.0;
        double r549635 = y;
        double r549636 = r549633 + r549635;
        double r549637 = r549634 - r549636;
        double r549638 = r549633 / r549637;
        double r549639 = r549635 / r549637;
        double r549640 = r549638 - r549639;
        return r549640;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

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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. Simplified0.0

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

  5. Simplified0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2019179 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, C"

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

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