Average Error: 0.0 → 0.0
Time: 7.0s
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 r878086 = x;
        double r878087 = y;
        double r878088 = r878086 - r878087;
        double r878089 = r878086 + r878087;
        double r878090 = r878088 / r878089;
        return r878090;
}
↓
double f(double x, double y) {
        double r878091 = x;
        double r878092 = y;
        double r878093 = r878091 + r878092;
        double r878094 = r878091 / r878093;
        double r878095 = r878092 / r878093;
        double r878096 = r878094 - r878095;
        return r878096;
}

Error

Bits error versus x

Bits error versus y

Try it out

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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 2020047 
(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)))