Average Error: 0.0 → 0.0
Time: 9.2s
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 r411713 = x;
        double r411714 = y;
        double r411715 = r411713 - r411714;
        double r411716 = z;
        double r411717 = r411716 - r411714;
        double r411718 = r411715 / r411717;
        return r411718;
}
↓
double f(double x, double y, double z) {
        double r411719 = x;
        double r411720 = z;
        double r411721 = y;
        double r411722 = r411720 - r411721;
        double r411723 = r411719 / r411722;
        double r411724 = r411721 / r411722;
        double r411725 = r411723 - r411724;
        return r411725;
}

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 2019303 
(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)))