Average Error: 0.0 → 0.0
Time: 3.1s
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 r585327 = x;
        double r585328 = y;
        double r585329 = r585327 - r585328;
        double r585330 = z;
        double r585331 = r585330 - r585328;
        double r585332 = r585329 / r585331;
        return r585332;
}
↓
double f(double x, double y, double z) {
        double r585333 = x;
        double r585334 = z;
        double r585335 = y;
        double r585336 = r585334 - r585335;
        double r585337 = r585333 / r585336;
        double r585338 = r585335 / r585336;
        double r585339 = r585337 - r585338;
        return r585339;
}

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 2020064 
(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)))