Average Error: 0.0 → 0.0
Time: 14.5s
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 r381246 = x;
        double r381247 = y;
        double r381248 = r381246 - r381247;
        double r381249 = z;
        double r381250 = r381249 - r381247;
        double r381251 = r381248 / r381250;
        return r381251;
}
↓
double f(double x, double y, double z) {
        double r381252 = x;
        double r381253 = z;
        double r381254 = y;
        double r381255 = r381253 - r381254;
        double r381256 = r381252 / r381255;
        double r381257 = r381254 / r381255;
        double r381258 = r381256 - r381257;
        return r381258;
}

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 2019325 
(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)))