Average Error: 0.0 → 0.0
Time: 4.7s
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 r569695 = x;
        double r569696 = y;
        double r569697 = r569695 - r569696;
        double r569698 = r569695 + r569696;
        double r569699 = r569697 / r569698;
        return r569699;
}
↓
double f(double x, double y) {
        double r569700 = x;
        double r569701 = y;
        double r569702 = r569700 + r569701;
        double r569703 = r569700 / r569702;
        double r569704 = r569701 / r569702;
        double r569705 = r569703 - r569704;
        return r569705;
}

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 2019304 
(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)))