Average Error: 0.0 → 0.0
Time: 19.3s
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 r543979 = x;
        double r543980 = y;
        double r543981 = r543979 - r543980;
        double r543982 = 2.0;
        double r543983 = r543979 + r543980;
        double r543984 = r543982 - r543983;
        double r543985 = r543981 / r543984;
        return r543985;
}
↓
double f(double x, double y) {
        double r543986 = x;
        double r543987 = 2.0;
        double r543988 = y;
        double r543989 = r543986 + r543988;
        double r543990 = r543987 - r543989;
        double r543991 = r543986 / r543990;
        double r543992 = r543988 / r543990;
        double r543993 = r543991 - r543992;
        return r543993;
}

Error

Bits error versus x

Bits error versus y

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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 2019323 +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))))