Average Error: 0.0 → 0.0
Time: 14.7s
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 r588365 = x;
        double r588366 = y;
        double r588367 = r588365 - r588366;
        double r588368 = r588365 + r588366;
        double r588369 = r588367 / r588368;
        return r588369;
}
↓
double f(double x, double y) {
        double r588370 = x;
        double r588371 = y;
        double r588372 = r588370 + r588371;
        double r588373 = r588370 / r588372;
        double r588374 = r588371 / r588372;
        double r588375 = r588373 - r588374;
        return r588375;
}

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

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

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)))