Average Error: 0.0 → 0.0
Time: 9.4s
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 r686483 = x;
        double r686484 = y;
        double r686485 = r686483 - r686484;
        double r686486 = z;
        double r686487 = r686486 - r686484;
        double r686488 = r686485 / r686487;
        return r686488;
}
↓
double f(double x, double y, double z) {
        double r686489 = x;
        double r686490 = z;
        double r686491 = y;
        double r686492 = r686490 - r686491;
        double r686493 = r686489 / r686492;
        double r686494 = r686491 / r686492;
        double r686495 = r686493 - r686494;
        return r686495;
}

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 2020046 +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)))