Average Error: 0.0 → 0.0
Time: 9.6s
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 r770598 = x;
        double r770599 = y;
        double r770600 = r770598 - r770599;
        double r770601 = z;
        double r770602 = r770601 - r770599;
        double r770603 = r770600 / r770602;
        return r770603;
}
↓
double f(double x, double y, double z) {
        double r770604 = x;
        double r770605 = z;
        double r770606 = y;
        double r770607 = r770605 - r770606;
        double r770608 = r770604 / r770607;
        double r770609 = r770606 / r770607;
        double r770610 = r770608 - r770609;
        return r770610;
}

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 2020046 +o rules:numerics
(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)))