Average Error: 0.0 → 0.0
Time: 10.6s
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 r29834295 = x;
        double r29834296 = y;
        double r29834297 = r29834295 - r29834296;
        double r29834298 = z;
        double r29834299 = r29834298 - r29834296;
        double r29834300 = r29834297 / r29834299;
        return r29834300;
}
↓
double f(double x, double y, double z) {
        double r29834301 = x;
        double r29834302 = z;
        double r29834303 = y;
        double r29834304 = r29834302 - r29834303;
        double r29834305 = r29834301 / r29834304;
        double r29834306 = r29834303 / r29834304;
        double r29834307 = r29834305 - r29834306;
        return r29834307;
}

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 2019163 
(FPCore (x y z)
  :name "Graphics.Rasterific.Shading:$sgradientColorAt from Rasterific-0.6.1"

  :herbie-target
  (- (/ x (- z y)) (/ y (- z y)))

  (/ (- x y) (- z y)))