Average Error: 0.0 → 0.0
Time: 8.5s
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 r553263 = x;
        double r553264 = y;
        double r553265 = r553263 - r553264;
        double r553266 = z;
        double r553267 = r553266 - r553264;
        double r553268 = r553265 / r553267;
        return r553268;
}
↓
double f(double x, double y, double z) {
        double r553269 = x;
        double r553270 = z;
        double r553271 = y;
        double r553272 = r553270 - r553271;
        double r553273 = r553269 / r553272;
        double r553274 = r553271 / r553272;
        double r553275 = r553273 - r553274;
        return r553275;
}

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 2020046 
(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)))