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 r725036 = x;
        double r725037 = y;
        double r725038 = r725036 - r725037;
        double r725039 = 2.0;
        double r725040 = r725036 + r725037;
        double r725041 = r725039 - r725040;
        double r725042 = r725038 / r725041;
        return r725042;
}
↓
double f(double x, double y) {
        double r725043 = x;
        double r725044 = y;
        double r725045 = r725043 - r725044;
        double r725046 = 2.0;
        double r725047 = r725043 + r725044;
        double r725048 = r725046 - r725047;
        double r725049 = r725045 / r725048;
        return r725049;
}

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))))