Average Error: 0.0 → 0.0
Time: 9.1s
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 r525191 = x;
        double r525192 = y;
        double r525193 = r525191 - r525192;
        double r525194 = z;
        double r525195 = r525194 - r525192;
        double r525196 = r525193 / r525195;
        return r525196;
}
↓
double f(double x, double y, double z) {
        double r525197 = x;
        double r525198 = z;
        double r525199 = y;
        double r525200 = r525198 - r525199;
        double r525201 = r525197 / r525200;
        double r525202 = r525199 / r525200;
        double r525203 = r525201 - r525202;
        return r525203;
}

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 2019195 
(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)))