Average Error: 0.0 → 0.0
Time: 13.3s
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 r18977787 = x;
        double r18977788 = y;
        double r18977789 = r18977787 - r18977788;
        double r18977790 = z;
        double r18977791 = r18977790 - r18977788;
        double r18977792 = r18977789 / r18977791;
        return r18977792;
}
↓
double f(double x, double y, double z) {
        double r18977793 = x;
        double r18977794 = z;
        double r18977795 = y;
        double r18977796 = r18977794 - r18977795;
        double r18977797 = r18977793 / r18977796;
        double r18977798 = r18977795 / r18977796;
        double r18977799 = r18977797 - r18977798;
        return r18977799;
}

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 2019163 +o rules:numerics
(FPCore (x y z)
  :name "Graphics.Rasterific.Shading:$sgradientColorAt from Rasterific-0.6.1"

  :herbie-target
  (- (/ x (- z y)) (/ y (- z y)))

  (/ (- x y) (- z y)))