Average Error: 0.0 → 0.0
Time: 44.7s
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 r30291930 = x;
        double r30291931 = y;
        double r30291932 = r30291930 - r30291931;
        double r30291933 = z;
        double r30291934 = r30291933 - r30291931;
        double r30291935 = r30291932 / r30291934;
        return r30291935;
}
↓
double f(double x, double y, double z) {
        double r30291936 = x;
        double r30291937 = z;
        double r30291938 = y;
        double r30291939 = r30291937 - r30291938;
        double r30291940 = r30291936 / r30291939;
        double r30291941 = r30291938 / r30291939;
        double r30291942 = r30291940 - r30291941;
        return r30291942;
}

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)))