Average Error: 0.0 → 0.0
Time: 1.7s
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 r717447 = x;
        double r717448 = y;
        double r717449 = r717447 - r717448;
        double r717450 = z;
        double r717451 = r717450 - r717448;
        double r717452 = r717449 / r717451;
        return r717452;
}
↓
double f(double x, double y, double z) {
        double r717453 = x;
        double r717454 = z;
        double r717455 = y;
        double r717456 = r717454 - r717455;
        double r717457 = r717453 / r717456;
        double r717458 = r717455 / r717456;
        double r717459 = r717457 - r717458;
        return r717459;
}

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 2020025 
(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)))