Average Error: 0.0 → 0.0
Time: 2.3s
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 r779096 = x;
        double r779097 = y;
        double r779098 = r779096 - r779097;
        double r779099 = r779096 + r779097;
        double r779100 = r779098 / r779099;
        return r779100;
}
↓
double f(double x, double y) {
        double r779101 = x;
        double r779102 = y;
        double r779103 = r779101 + r779102;
        double r779104 = r779101 / r779103;
        double r779105 = r779102 / r779103;
        double r779106 = r779104 - r779105;
        return r779106;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

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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 2020027 +o rules:numerics
(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)))