Average Error: 0.0 → 0.0
Time: 20.8s
Precision: 64
\[\frac{x - y}{x + y}\]
↓
\[\frac{x}{y + x} - \frac{y}{y + x}\]
\frac{x - y}{x + y}
↓
\frac{x}{y + x} - \frac{y}{y + x}
double f(double x, double y) {
        double r38232625 = x;
        double r38232626 = y;
        double r38232627 = r38232625 - r38232626;
        double r38232628 = r38232625 + r38232626;
        double r38232629 = r38232627 / r38232628;
        return r38232629;
}
↓
double f(double x, double y) {
        double r38232630 = x;
        double r38232631 = y;
        double r38232632 = r38232631 + r38232630;
        double r38232633 = r38232630 / r38232632;
        double r38232634 = r38232631 / r38232632;
        double r38232635 = r38232633 - r38232634;
        return r38232635;
}

Error

Bits error versus x

Bits error versus y

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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

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

Reproduce

herbie shell --seed 2019165 
(FPCore (x y)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, D"

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

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