Average Error: 0.0 → 0.0
Time: 12.4s
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 r516128 = x;
        double r516129 = y;
        double r516130 = r516128 - r516129;
        double r516131 = z;
        double r516132 = r516131 - r516129;
        double r516133 = r516130 / r516132;
        return r516133;
}
↓
double f(double x, double y, double z) {
        double r516134 = x;
        double r516135 = z;
        double r516136 = y;
        double r516137 = r516135 - r516136;
        double r516138 = r516134 / r516137;
        double r516139 = r516136 / r516137;
        double r516140 = r516138 - r516139;
        return r516140;
}

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 2019209 +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)))