Average Error: 0.0 → 0.0
Time: 3.1s
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 r580838 = x;
        double r580839 = y;
        double r580840 = r580838 - r580839;
        double r580841 = z;
        double r580842 = r580841 - r580839;
        double r580843 = r580840 / r580842;
        return r580843;
}
↓
double f(double x, double y, double z) {
        double r580844 = x;
        double r580845 = z;
        double r580846 = y;
        double r580847 = r580845 - r580846;
        double r580848 = r580844 / r580847;
        double r580849 = r580846 / r580847;
        double r580850 = r580848 - r580849;
        return r580850;
}

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 2020045 +o rules:numerics
(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)))