Average Error: 0.0 → 0.0
Time: 4.8s
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 r2466 = x;
        double r2467 = y;
        double r2468 = r2466 - r2467;
        double r2469 = z;
        double r2470 = r2469 - r2467;
        double r2471 = r2468 / r2470;
        return r2471;
}
↓
double f(double x, double y, double z) {
        double r2472 = x;
        double r2473 = z;
        double r2474 = y;
        double r2475 = r2473 - r2474;
        double r2476 = r2472 / r2475;
        double r2477 = r2474 / r2475;
        double r2478 = r2476 - r2477;
        return r2478;
}

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 +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)))