Average Error: 0.0 → 0.0
Time: 5.1s
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 r554293 = x;
        double r554294 = y;
        double r554295 = r554293 - r554294;
        double r554296 = z;
        double r554297 = r554296 - r554294;
        double r554298 = r554295 / r554297;
        return r554298;
}
↓
double f(double x, double y, double z) {
        double r554299 = x;
        double r554300 = z;
        double r554301 = y;
        double r554302 = r554300 - r554301;
        double r554303 = r554299 / r554302;
        double r554304 = r554301 / r554302;
        double r554305 = r554303 - r554304;
        return r554305;
}

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 2019297 
(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)))