Average Error: 0.0 → 0.0
Time: 2.4s
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 r656028 = x;
        double r656029 = y;
        double r656030 = r656028 - r656029;
        double r656031 = z;
        double r656032 = r656031 - r656029;
        double r656033 = r656030 / r656032;
        return r656033;
}
↓
double f(double x, double y, double z) {
        double r656034 = x;
        double r656035 = z;
        double r656036 = y;
        double r656037 = r656035 - r656036;
        double r656038 = r656034 / r656037;
        double r656039 = r656036 / r656037;
        double r656040 = r656038 - r656039;
        return r656040;
}

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 2020056 
(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)))