Average Error: 0.0 → 0.0
Time: 4.6s
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 r672922 = x;
        double r672923 = y;
        double r672924 = r672922 - r672923;
        double r672925 = z;
        double r672926 = r672925 - r672923;
        double r672927 = r672924 / r672926;
        return r672927;
}
↓
double f(double x, double y, double z) {
        double r672928 = x;
        double r672929 = z;
        double r672930 = y;
        double r672931 = r672929 - r672930;
        double r672932 = r672928 / r672931;
        double r672933 = r672930 / r672931;
        double r672934 = r672932 - r672933;
        return r672934;
}

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 2019354 
(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)))