Average Error: 0.0 → 0.0
Time: 2.7s
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 r757484 = x;
        double r757485 = y;
        double r757486 = r757484 - r757485;
        double r757487 = z;
        double r757488 = r757487 - r757485;
        double r757489 = r757486 / r757488;
        return r757489;
}
↓
double f(double x, double y, double z) {
        double r757490 = x;
        double r757491 = z;
        double r757492 = y;
        double r757493 = r757491 - r757492;
        double r757494 = r757490 / r757493;
        double r757495 = r757492 / r757493;
        double r757496 = r757494 - r757495;
        return r757496;
}

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 2020045 
(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)))