Average Error: 0.0 → 0.0
Time: 8.8s
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 r591503 = x;
        double r591504 = y;
        double r591505 = r591503 - r591504;
        double r591506 = z;
        double r591507 = r591506 - r591504;
        double r591508 = r591505 / r591507;
        return r591508;
}
↓
double f(double x, double y, double z) {
        double r591509 = x;
        double r591510 = z;
        double r591511 = y;
        double r591512 = r591510 - r591511;
        double r591513 = r591509 / r591512;
        double r591514 = r591511 / r591512;
        double r591515 = r591513 - r591514;
        return r591515;
}

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 2019291 
(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)))