Average Error: 0.0 → 0.0
Time: 5.5s
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 r409498 = x;
        double r409499 = y;
        double r409500 = r409498 - r409499;
        double r409501 = z;
        double r409502 = r409501 - r409499;
        double r409503 = r409500 / r409502;
        return r409503;
}
↓
double f(double x, double y, double z) {
        double r409504 = x;
        double r409505 = z;
        double r409506 = y;
        double r409507 = r409505 - r409506;
        double r409508 = r409504 / r409507;
        double r409509 = r409506 / r409507;
        double r409510 = r409508 - r409509;
        return r409510;
}

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 2019303 
(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)))