Average Error: 0.0 → 0.0
Time: 3.3s
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 r696717 = x;
        double r696718 = y;
        double r696719 = r696717 - r696718;
        double r696720 = z;
        double r696721 = r696720 - r696718;
        double r696722 = r696719 / r696721;
        return r696722;
}
↓
double f(double x, double y, double z) {
        double r696723 = x;
        double r696724 = z;
        double r696725 = y;
        double r696726 = r696724 - r696725;
        double r696727 = r696723 / r696726;
        double r696728 = r696725 / r696726;
        double r696729 = r696727 - r696728;
        return r696729;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

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 2020060 +o rules:numerics
(FPCore (x y z)
  :name "Graphics.Rasterific.Shading:$sgradientColorAt from Rasterific-0.6.1"
  :precision binary64

  :herbie-target
  (- (/ x (- z y)) (/ y (- z y)))

  (/ (- x y) (- z y)))