Average Error: 0.0 → 0.0
Time: 6.0s
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 r831613 = x;
        double r831614 = y;
        double r831615 = r831613 - r831614;
        double r831616 = z;
        double r831617 = r831616 - r831614;
        double r831618 = r831615 / r831617;
        return r831618;
}
↓
double f(double x, double y, double z) {
        double r831619 = x;
        double r831620 = z;
        double r831621 = y;
        double r831622 = r831620 - r831621;
        double r831623 = r831619 / r831622;
        double r831624 = r831621 / r831622;
        double r831625 = r831623 - r831624;
        return r831625;
}

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 2019362 +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)))