Average Error: 0.0 → 0.0
Time: 2.0s
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 r606607 = x;
        double r606608 = y;
        double r606609 = r606607 - r606608;
        double r606610 = z;
        double r606611 = r606610 - r606608;
        double r606612 = r606609 / r606611;
        return r606612;
}
↓
double f(double x, double y, double z) {
        double r606613 = x;
        double r606614 = z;
        double r606615 = y;
        double r606616 = r606614 - r606615;
        double r606617 = r606613 / r606616;
        double r606618 = r606615 / r606616;
        double r606619 = r606617 - r606618;
        return r606619;
}

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 2020020 
(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)))