Average Error: 0.0 → 0.0
Time: 2.9s
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 r841179 = x;
        double r841180 = y;
        double r841181 = r841179 - r841180;
        double r841182 = z;
        double r841183 = r841182 - r841180;
        double r841184 = r841181 / r841183;
        return r841184;
}
↓
double f(double x, double y, double z) {
        double r841185 = x;
        double r841186 = z;
        double r841187 = y;
        double r841188 = r841186 - r841187;
        double r841189 = r841185 / r841188;
        double r841190 = r841187 / r841188;
        double r841191 = r841189 - r841190;
        return r841191;
}

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 2019362 
(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)))