Average Error: 0.0 → 0.0
Time: 3.2s
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 r669358 = x;
        double r669359 = y;
        double r669360 = r669358 - r669359;
        double r669361 = z;
        double r669362 = r669361 - r669359;
        double r669363 = r669360 / r669362;
        return r669363;
}
↓
double f(double x, double y, double z) {
        double r669364 = x;
        double r669365 = z;
        double r669366 = y;
        double r669367 = r669365 - r669366;
        double r669368 = r669364 / r669367;
        double r669369 = r669366 / r669367;
        double r669370 = r669368 - r669369;
        return r669370;
}

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 2020045 
(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)))