Average Error: 0.0 → 0.0
Time: 14.2s
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 r548955 = x;
        double r548956 = y;
        double r548957 = r548955 - r548956;
        double r548958 = r548955 + r548956;
        double r548959 = r548957 / r548958;
        return r548959;
}
↓
double f(double x, double y) {
        double r548960 = x;
        double r548961 = y;
        double r548962 = r548960 + r548961;
        double r548963 = r548960 / r548962;
        double r548964 = r548961 / r548962;
        double r548965 = r548963 - r548964;
        return r548965;
}

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)))