Average Error: 0.0 → 0.0
Time: 3.1s
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 r764089 = x;
        double r764090 = y;
        double r764091 = r764089 - r764090;
        double r764092 = z;
        double r764093 = r764092 - r764090;
        double r764094 = r764091 / r764093;
        return r764094;
}
↓
double f(double x, double y, double z) {
        double r764095 = x;
        double r764096 = z;
        double r764097 = y;
        double r764098 = r764096 - r764097;
        double r764099 = r764095 / r764098;
        double r764100 = r764097 / r764098;
        double r764101 = r764099 - r764100;
        return r764101;
}

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 2020083 
(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)))