Average Error: 0.0 → 0.0
Time: 12.7s
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 r27349726 = x;
        double r27349727 = y;
        double r27349728 = r27349726 - r27349727;
        double r27349729 = z;
        double r27349730 = r27349729 - r27349727;
        double r27349731 = r27349728 / r27349730;
        return r27349731;
}
↓
double f(double x, double y, double z) {
        double r27349732 = x;
        double r27349733 = z;
        double r27349734 = y;
        double r27349735 = r27349733 - r27349734;
        double r27349736 = r27349732 / r27349735;
        double r27349737 = r27349734 / r27349735;
        double r27349738 = r27349736 - r27349737;
        return r27349738;
}

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 2019165 
(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)))