Average Error: 0.0 → 0.1
Time: 3.6s
Precision: 64
\[\frac{x - y}{2 - \left(x + y\right)}\]
↓
\[\frac{1}{\frac{2 - \left(x + y\right)}{x - y}}\]
\frac{x - y}{2 - \left(x + y\right)}
↓
\frac{1}{\frac{2 - \left(x + y\right)}{x - y}}
double f(double x, double y) {
        double r859716 = x;
        double r859717 = y;
        double r859718 = r859716 - r859717;
        double r859719 = 2.0;
        double r859720 = r859716 + r859717;
        double r859721 = r859719 - r859720;
        double r859722 = r859718 / r859721;
        return r859722;
}
↓
double f(double x, double y) {
        double r859723 = 1.0;
        double r859724 = 2.0;
        double r859725 = x;
        double r859726 = y;
        double r859727 = r859725 + r859726;
        double r859728 = r859724 - r859727;
        double r859729 = r859725 - r859726;
        double r859730 = r859728 / r859729;
        double r859731 = r859723 / r859730;
        return r859731;
}

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
Herbie0.1
\[\frac{x}{2 - \left(x + y\right)} - \frac{y}{2 - \left(x + y\right)}\]

Derivation

  1. Initial program 0.0

    \[\frac{x - y}{2 - \left(x + y\right)}\]
  2. Using strategy rm

  3. Applied clear-num0.1

    \[\leadsto \color{blue}{\frac{1}{\frac{2 - \left(x + y\right)}{x - y}}}\]

  4. Final simplification0.1

    \[\leadsto \frac{1}{\frac{2 - \left(x + y\right)}{x - y}}\]

Reproduce

herbie shell --seed 2020002 
(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))))