Average Error: 0.0 → 0.0
Time: 14.5s
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 r502617 = x;
        double r502618 = y;
        double r502619 = r502617 - r502618;
        double r502620 = r502617 + r502618;
        double r502621 = r502619 / r502620;
        return r502621;
}
↓
double f(double x, double y) {
        double r502622 = x;
        double r502623 = y;
        double r502624 = r502622 + r502623;
        double r502625 = r502622 / r502624;
        double r502626 = r502623 / r502624;
        double r502627 = r502625 - r502626;
        return r502627;
}

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 2019323 
(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)))