Average Error: 0.0 → 0.0
Time: 11.5s
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 r29745320 = x;
        double r29745321 = y;
        double r29745322 = r29745320 - r29745321;
        double r29745323 = z;
        double r29745324 = r29745323 - r29745321;
        double r29745325 = r29745322 / r29745324;
        return r29745325;
}
↓
double f(double x, double y, double z) {
        double r29745326 = x;
        double r29745327 = z;
        double r29745328 = y;
        double r29745329 = r29745327 - r29745328;
        double r29745330 = r29745326 / r29745329;
        double r29745331 = r29745328 / r29745329;
        double r29745332 = r29745330 - r29745331;
        return r29745332;
}

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 2019163 
(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)))