Average Error: 0.0 → 0.0
Time: 2.2s
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 r709626 = x;
        double r709627 = y;
        double r709628 = r709626 - r709627;
        double r709629 = z;
        double r709630 = r709629 - r709627;
        double r709631 = r709628 / r709630;
        return r709631;
}
↓
double f(double x, double y, double z) {
        double r709632 = x;
        double r709633 = z;
        double r709634 = y;
        double r709635 = r709633 - r709634;
        double r709636 = r709632 / r709635;
        double r709637 = r709634 / r709635;
        double r709638 = r709636 - r709637;
        return r709638;
}

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 2020002 +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)))