Average Error: 0.0 → 0.0
Time: 1.8s
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 r551539 = x;
        double r551540 = y;
        double r551541 = r551539 - r551540;
        double r551542 = z;
        double r551543 = r551542 - r551540;
        double r551544 = r551541 / r551543;
        return r551544;
}
↓
double f(double x, double y, double z) {
        double r551545 = x;
        double r551546 = z;
        double r551547 = y;
        double r551548 = r551546 - r551547;
        double r551549 = r551545 / r551548;
        double r551550 = r551547 / r551548;
        double r551551 = r551549 - r551550;
        return r551551;
}

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 2020002 
(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)))