Average Error: 0.0 → 0.0
Time: 12.0s
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 r479105 = x;
        double r479106 = y;
        double r479107 = r479105 - r479106;
        double r479108 = z;
        double r479109 = r479108 - r479106;
        double r479110 = r479107 / r479109;
        return r479110;
}
↓
double f(double x, double y, double z) {
        double r479111 = x;
        double r479112 = z;
        double r479113 = y;
        double r479114 = r479112 - r479113;
        double r479115 = r479111 / r479114;
        double r479116 = r479113 / r479114;
        double r479117 = r479115 - r479116;
        return r479117;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

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Results

Enter valid numbers for all inputs

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 2019199 
(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)))