Average Error: 0.0 → 0.0
Time: 10.1s
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 r22676780 = x;
        double r22676781 = y;
        double r22676782 = r22676780 - r22676781;
        double r22676783 = z;
        double r22676784 = r22676783 - r22676781;
        double r22676785 = r22676782 / r22676784;
        return r22676785;
}
↓
double f(double x, double y, double z) {
        double r22676786 = x;
        double r22676787 = z;
        double r22676788 = y;
        double r22676789 = r22676787 - r22676788;
        double r22676790 = r22676786 / r22676789;
        double r22676791 = r22676788 / r22676789;
        double r22676792 = r22676790 - r22676791;
        return r22676792;
}

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 2019172 +o rules:numerics
(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)))