Average Error: 0.0 → 0.0
Time: 22.2s
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 r28079917 = x;
        double r28079918 = y;
        double r28079919 = r28079917 - r28079918;
        double r28079920 = z;
        double r28079921 = r28079920 - r28079918;
        double r28079922 = r28079919 / r28079921;
        return r28079922;
}
↓
double f(double x, double y, double z) {
        double r28079923 = x;
        double r28079924 = z;
        double r28079925 = y;
        double r28079926 = r28079924 - r28079925;
        double r28079927 = r28079923 / r28079926;
        double r28079928 = r28079925 / r28079926;
        double r28079929 = r28079927 - r28079928;
        return r28079929;
}

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 2019168 +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)))