Average Error: 0.0 → 0.0
Time: 2.4s
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 r644486 = x;
        double r644487 = y;
        double r644488 = r644486 - r644487;
        double r644489 = z;
        double r644490 = r644489 - r644487;
        double r644491 = r644488 / r644490;
        return r644491;
}
↓
double f(double x, double y, double z) {
        double r644492 = x;
        double r644493 = z;
        double r644494 = y;
        double r644495 = r644493 - r644494;
        double r644496 = r644492 / r644495;
        double r644497 = r644494 / r644495;
        double r644498 = r644496 - r644497;
        return r644498;
}

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 2020046 
(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)))