Average Error: 0.0 → 0.0
Time: 14.6s
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 r458057 = x;
        double r458058 = y;
        double r458059 = r458057 - r458058;
        double r458060 = z;
        double r458061 = r458060 - r458058;
        double r458062 = r458059 / r458061;
        return r458062;
}
↓
double f(double x, double y, double z) {
        double r458063 = x;
        double r458064 = z;
        double r458065 = y;
        double r458066 = r458064 - r458065;
        double r458067 = r458063 / r458066;
        double r458068 = r458065 / r458066;
        double r458069 = r458067 - r458068;
        return r458069;
}

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 2019325 
(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)))