Average Error: 0.0 → 0.0
Time: 3.2s
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 r3695 = x;
        double r3696 = y;
        double r3697 = r3695 - r3696;
        double r3698 = z;
        double r3699 = r3698 - r3696;
        double r3700 = r3697 / r3699;
        return r3700;
}
↓
double f(double x, double y, double z) {
        double r3701 = x;
        double r3702 = z;
        double r3703 = y;
        double r3704 = r3702 - r3703;
        double r3705 = r3701 / r3704;
        double r3706 = r3703 / r3704;
        double r3707 = r3705 - r3706;
        return r3707;
}

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 2020025 
(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)))