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 r692426 = x;
        double r692427 = y;
        double r692428 = r692426 - r692427;
        double r692429 = z;
        double r692430 = r692429 - r692427;
        double r692431 = r692428 / r692430;
        return r692431;
}
↓
double f(double x, double y, double z) {
        double r692432 = x;
        double r692433 = z;
        double r692434 = y;
        double r692435 = r692433 - r692434;
        double r692436 = r692432 / r692435;
        double r692437 = r692434 / r692435;
        double r692438 = r692436 - r692437;
        return r692438;
}

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 2019356 
(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)))