Average Error: 0.0 → 0.0
Time: 2.6s
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 r776560 = x;
        double r776561 = y;
        double r776562 = r776560 - r776561;
        double r776563 = z;
        double r776564 = r776563 - r776561;
        double r776565 = r776562 / r776564;
        return r776565;
}
↓
double f(double x, double y, double z) {
        double r776566 = x;
        double r776567 = z;
        double r776568 = y;
        double r776569 = r776567 - r776568;
        double r776570 = r776566 / r776569;
        double r776571 = r776568 / r776569;
        double r776572 = r776570 - r776571;
        return r776572;
}

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 2020062 
(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)))