Average Error: 0.0 → 0.0
Time: 9.7s
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 r538453 = x;
        double r538454 = y;
        double r538455 = r538453 - r538454;
        double r538456 = z;
        double r538457 = r538456 - r538454;
        double r538458 = r538455 / r538457;
        return r538458;
}
↓
double f(double x, double y, double z) {
        double r538459 = x;
        double r538460 = z;
        double r538461 = y;
        double r538462 = r538460 - r538461;
        double r538463 = r538459 / r538462;
        double r538464 = r538461 / r538462;
        double r538465 = r538463 - r538464;
        return r538465;
}

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 2019196 
(FPCore (x y z)
  :name "Graphics.Rasterific.Shading:$sgradientColorAt from Rasterific-0.6.1"

  :herbie-target
  (- (/ x (- z y)) (/ y (- z y)))

  (/ (- x y) (- z y)))