Average Error: 0.0 → 0.0
Time: 11.7s
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 r497197 = x;
        double r497198 = y;
        double r497199 = r497197 - r497198;
        double r497200 = z;
        double r497201 = r497200 - r497198;
        double r497202 = r497199 / r497201;
        return r497202;
}
↓
double f(double x, double y, double z) {
        double r497203 = x;
        double r497204 = z;
        double r497205 = y;
        double r497206 = r497204 - r497205;
        double r497207 = r497203 / r497206;
        double r497208 = r497205 / r497206;
        double r497209 = r497207 - r497208;
        return r497209;
}

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 2019198 
(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)))