Average Error: 0.0 → 0.0
Time: 3.8s
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 r719879 = x;
        double r719880 = y;
        double r719881 = r719879 - r719880;
        double r719882 = z;
        double r719883 = r719882 - r719880;
        double r719884 = r719881 / r719883;
        return r719884;
}
↓
double f(double x, double y, double z) {
        double r719885 = x;
        double r719886 = z;
        double r719887 = y;
        double r719888 = r719886 - r719887;
        double r719889 = r719885 / r719888;
        double r719890 = r719887 / r719888;
        double r719891 = r719889 - r719890;
        return r719891;
}

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)))