Average Error: 0.0 → 0.0
Time: 8.6s
Precision: 64
\[\frac{x - y}{z - y}\]
↓
\[\frac{x}{z - y} - \frac{y}{z - y}\]
\frac{x - y}{z - y}
↓
\frac{x}{z - y} - \frac{y}{z - y}
double f(double x, double y, double z) {
        double r31362883 = x;
        double r31362884 = y;
        double r31362885 = r31362883 - r31362884;
        double r31362886 = z;
        double r31362887 = r31362886 - r31362884;
        double r31362888 = r31362885 / r31362887;
        return r31362888;
}
↓
double f(double x, double y, double z) {
        double r31362889 = x;
        double r31362890 = z;
        double r31362891 = y;
        double r31362892 = r31362890 - r31362891;
        double r31362893 = r31362889 / r31362892;
        double r31362894 = r31362891 / r31362892;
        double r31362895 = r31362893 - r31362894;
        return r31362895;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

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Results

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Target

Original0.0
Target0.0
Herbie0.0
\[\frac{x}{z - y} - \frac{y}{z - y}\]

Derivation

  1. Initial program 0.0

    \[\frac{x - y}{z - y}\]
  2. Using strategy rm

  3. Applied div-sub0.0

    \[\leadsto \color{blue}{\frac{x}{z - y} - \frac{y}{z - y}}\]

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2019164 
(FPCore (x y z)
  :name "Graphics.Rasterific.Shading:$sgradientColorAt from Rasterific-0.6.1"

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

  (/ (- x y) (- z y)))