Average Error: 0.0 → 0.0
Time: 8.8s
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 r30992321 = x;
        double r30992322 = y;
        double r30992323 = r30992321 - r30992322;
        double r30992324 = z;
        double r30992325 = r30992324 - r30992322;
        double r30992326 = r30992323 / r30992325;
        return r30992326;
}
↓
double f(double x, double y, double z) {
        double r30992327 = x;
        double r30992328 = z;
        double r30992329 = y;
        double r30992330 = r30992328 - r30992329;
        double r30992331 = r30992327 / r30992330;
        double r30992332 = r30992329 / r30992330;
        double r30992333 = r30992331 - r30992332;
        return r30992333;
}

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 2019172 
(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)))