Average Error: 0.0 → 0.0
Time: 5.3s
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 r33924810 = x;
        double r33924811 = y;
        double r33924812 = r33924810 - r33924811;
        double r33924813 = r33924810 + r33924811;
        double r33924814 = r33924812 / r33924813;
        return r33924814;
}
↓
double f(double x, double y) {
        double r33924815 = x;
        double r33924816 = y;
        double r33924817 = r33924816 + r33924815;
        double r33924818 = r33924815 / r33924817;
        double r33924819 = r33924816 / r33924817;
        double r33924820 = r33924818 - r33924819;
        return r33924820;
}

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)))