Average Error: 0.0 → 0.0
Time: 10.2s
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 r756141 = x;
        double r756142 = y;
        double r756143 = r756141 - r756142;
        double r756144 = z;
        double r756145 = r756144 - r756142;
        double r756146 = r756143 / r756145;
        return r756146;
}
↓
double f(double x, double y, double z) {
        double r756147 = x;
        double r756148 = z;
        double r756149 = y;
        double r756150 = r756148 - r756149;
        double r756151 = r756147 / r756150;
        double r756152 = r756149 / r756150;
        double r756153 = r756151 - r756152;
        return r756153;
}

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 2019350 
(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)))