Average Error: 0.0 → 0.0
Time: 6.5s
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 r591856 = x;
        double r591857 = y;
        double r591858 = r591856 - r591857;
        double r591859 = z;
        double r591860 = r591859 - r591857;
        double r591861 = r591858 / r591860;
        return r591861;
}
↓
double f(double x, double y, double z) {
        double r591862 = x;
        double r591863 = z;
        double r591864 = y;
        double r591865 = r591863 - r591864;
        double r591866 = r591862 / r591865;
        double r591867 = r591864 / r591865;
        double r591868 = r591866 - r591867;
        return r591868;
}

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 2019354 +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)))