Average Error: 0.0 → 0.0
Time: 41.8s
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 r27348783 = x;
        double r27348784 = y;
        double r27348785 = r27348783 - r27348784;
        double r27348786 = z;
        double r27348787 = r27348786 - r27348784;
        double r27348788 = r27348785 / r27348787;
        return r27348788;
}
↓
double f(double x, double y, double z) {
        double r27348789 = x;
        double r27348790 = z;
        double r27348791 = y;
        double r27348792 = r27348790 - r27348791;
        double r27348793 = r27348789 / r27348792;
        double r27348794 = r27348791 / r27348792;
        double r27348795 = r27348793 - r27348794;
        return r27348795;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

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 2019200 
(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)))