Average Error: 0.0 → 0.0
Time: 4.9s
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 r621693 = x;
        double r621694 = y;
        double r621695 = r621693 - r621694;
        double r621696 = z;
        double r621697 = r621696 - r621694;
        double r621698 = r621695 / r621697;
        return r621698;
}
↓
double f(double x, double y, double z) {
        double r621699 = x;
        double r621700 = z;
        double r621701 = y;
        double r621702 = r621700 - r621701;
        double r621703 = r621699 / r621702;
        double r621704 = r621701 / r621702;
        double r621705 = r621703 - r621704;
        return r621705;
}

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 2020064 +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)))