Average Error: 0.0 → 0.0
Time: 4.5s
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 r552536 = x;
        double r552537 = y;
        double r552538 = r552536 - r552537;
        double r552539 = z;
        double r552540 = r552539 - r552537;
        double r552541 = r552538 / r552540;
        return r552541;
}
↓
double f(double x, double y, double z) {
        double r552542 = x;
        double r552543 = z;
        double r552544 = y;
        double r552545 = r552543 - r552544;
        double r552546 = r552542 / r552545;
        double r552547 = r552544 / r552545;
        double r552548 = r552546 - r552547;
        return r552548;
}

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 2020027 +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)))