Average Error: 0.0 → 0.0
Time: 9.5s
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 r740572 = x;
        double r740573 = y;
        double r740574 = r740572 - r740573;
        double r740575 = z;
        double r740576 = r740575 - r740573;
        double r740577 = r740574 / r740576;
        return r740577;
}
↓
double f(double x, double y, double z) {
        double r740578 = x;
        double r740579 = z;
        double r740580 = y;
        double r740581 = r740579 - r740580;
        double r740582 = r740578 / r740581;
        double r740583 = r740580 / r740581;
        double r740584 = r740582 - r740583;
        return r740584;
}

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 2020042 
(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)))