Average Error: 0.0 → 0.0
Time: 12.8s
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 r380418 = x;
        double r380419 = y;
        double r380420 = r380418 - r380419;
        double r380421 = z;
        double r380422 = r380421 - r380419;
        double r380423 = r380420 / r380422;
        return r380423;
}
↓
double f(double x, double y, double z) {
        double r380424 = x;
        double r380425 = z;
        double r380426 = y;
        double r380427 = r380425 - r380426;
        double r380428 = r380424 / r380427;
        double r380429 = r380426 / r380427;
        double r380430 = r380428 - r380429;
        return r380430;
}

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 2019303 +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)))