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 r480454 = x;
        double r480455 = y;
        double r480456 = r480454 - r480455;
        double r480457 = z;
        double r480458 = r480457 - r480455;
        double r480459 = r480456 / r480458;
        return r480459;
}
↓
double f(double x, double y, double z) {
        double r480460 = x;
        double r480461 = z;
        double r480462 = y;
        double r480463 = r480461 - r480462;
        double r480464 = r480460 / r480463;
        double r480465 = r480462 / r480463;
        double r480466 = r480464 - r480465;
        return r480466;
}

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 2020089 
(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)))