Average Error: 0.0 → 0.0
Time: 13.4s
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 r28204616 = x;
        double r28204617 = y;
        double r28204618 = r28204616 - r28204617;
        double r28204619 = z;
        double r28204620 = r28204619 - r28204617;
        double r28204621 = r28204618 / r28204620;
        return r28204621;
}
↓
double f(double x, double y, double z) {
        double r28204622 = x;
        double r28204623 = z;
        double r28204624 = y;
        double r28204625 = r28204623 - r28204624;
        double r28204626 = r28204622 / r28204625;
        double r28204627 = r28204624 / r28204625;
        double r28204628 = r28204626 - r28204627;
        return r28204628;
}

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 2019163 +o rules:numerics
(FPCore (x y z)
  :name "Graphics.Rasterific.Shading:$sgradientColorAt from Rasterific-0.6.1"

  :herbie-target
  (- (/ x (- z y)) (/ y (- z y)))

  (/ (- x y) (- z y)))