Average Error: 0.0 → 0.0
Time: 10.8s
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 r33262923 = x;
        double r33262924 = y;
        double r33262925 = r33262923 - r33262924;
        double r33262926 = z;
        double r33262927 = r33262926 - r33262924;
        double r33262928 = r33262925 / r33262927;
        return r33262928;
}
↓
double f(double x, double y, double z) {
        double r33262929 = x;
        double r33262930 = z;
        double r33262931 = y;
        double r33262932 = r33262930 - r33262931;
        double r33262933 = r33262929 / r33262932;
        double r33262934 = r33262931 / r33262932;
        double r33262935 = r33262933 - r33262934;
        return r33262935;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

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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 2019168 
(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)))