Average Error: 0.0 → 0.0
Time: 11.8s
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 r470049 = x;
        double r470050 = y;
        double r470051 = r470049 - r470050;
        double r470052 = z;
        double r470053 = r470052 - r470050;
        double r470054 = r470051 / r470053;
        return r470054;
}
↓
double f(double x, double y, double z) {
        double r470055 = x;
        double r470056 = z;
        double r470057 = y;
        double r470058 = r470056 - r470057;
        double r470059 = r470055 / r470058;
        double r470060 = r470057 / r470058;
        double r470061 = r470059 - r470060;
        return r470061;
}

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 2019303 +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)))