Average Error: 0.0 → 0.0
Time: 4.8s
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 r618246 = x;
        double r618247 = y;
        double r618248 = r618246 - r618247;
        double r618249 = z;
        double r618250 = r618249 - r618247;
        double r618251 = r618248 / r618250;
        return r618251;
}
↓
double f(double x, double y, double z) {
        double r618252 = x;
        double r618253 = z;
        double r618254 = y;
        double r618255 = r618253 - r618254;
        double r618256 = r618252 / r618255;
        double r618257 = r618254 / r618255;
        double r618258 = r618256 - r618257;
        return r618258;
}

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 2020100 +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)))