Average Error: 0.0 → 0.0
Time: 28.3s
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 r30510182 = x;
        double r30510183 = y;
        double r30510184 = r30510182 - r30510183;
        double r30510185 = z;
        double r30510186 = r30510185 - r30510183;
        double r30510187 = r30510184 / r30510186;
        return r30510187;
}
↓
double f(double x, double y, double z) {
        double r30510188 = x;
        double r30510189 = z;
        double r30510190 = y;
        double r30510191 = r30510189 - r30510190;
        double r30510192 = r30510188 / r30510191;
        double r30510193 = r30510190 / r30510191;
        double r30510194 = r30510192 - r30510193;
        return r30510194;
}

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)))