Average Error: 0.0 → 0.0
Time: 1.7s
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 r802456 = x;
        double r802457 = y;
        double r802458 = r802456 - r802457;
        double r802459 = z;
        double r802460 = r802459 - r802457;
        double r802461 = r802458 / r802460;
        return r802461;
}
↓
double f(double x, double y, double z) {
        double r802462 = x;
        double r802463 = z;
        double r802464 = y;
        double r802465 = r802463 - r802464;
        double r802466 = r802462 / r802465;
        double r802467 = r802464 / r802465;
        double r802468 = r802466 - r802467;
        return r802468;
}

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 2020057 
(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)))