Average Error: 0.0 → 0.0
Time: 6.8s
Precision: 64
\[\frac{x - y}{x + y}\]
↓
\[\frac{x}{x + y} - \frac{y}{x + y}\]
\frac{x - y}{x + y}
↓
\frac{x}{x + y} - \frac{y}{x + y}
double f(double x, double y) {
        double r603753 = x;
        double r603754 = y;
        double r603755 = r603753 - r603754;
        double r603756 = r603753 + r603754;
        double r603757 = r603755 / r603756;
        return r603757;
}
↓
double f(double x, double y) {
        double r603758 = x;
        double r603759 = y;
        double r603760 = r603758 + r603759;
        double r603761 = r603758 / r603760;
        double r603762 = r603759 / r603760;
        double r603763 = r603761 - r603762;
        return r603763;
}

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
\[\frac{x}{x + y} - \frac{y}{x + y}\]

Derivation

  1. Initial program 0.0

    \[\frac{x - y}{x + y}\]
  2. Using strategy rm

  3. Applied div-sub0.0

    \[\leadsto \color{blue}{\frac{x}{x + y} - \frac{y}{x + y}}\]

  4. Final simplification0.0

    \[\leadsto \frac{x}{x + y} - \frac{y}{x + y}\]

Reproduce

herbie shell --seed 2019297 
(FPCore (x y)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, D"
  :precision binary64

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

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