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 r452982 = x;
        double r452983 = y;
        double r452984 = r452982 - r452983;
        double r452985 = z;
        double r452986 = r452985 - r452983;
        double r452987 = r452984 / r452986;
        return r452987;
}
↓
double f(double x, double y, double z) {
        double r452988 = x;
        double r452989 = z;
        double r452990 = y;
        double r452991 = r452989 - r452990;
        double r452992 = r452988 / r452991;
        double r452993 = r452990 / r452991;
        double r452994 = r452992 - r452993;
        return r452994;
}

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 2019303 
(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)))