Average Error: 0.0 → 0.0
Time: 13.0s
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 r28097747 = x;
        double r28097748 = y;
        double r28097749 = r28097747 - r28097748;
        double r28097750 = z;
        double r28097751 = r28097750 - r28097748;
        double r28097752 = r28097749 / r28097751;
        return r28097752;
}
↓
double f(double x, double y, double z) {
        double r28097753 = x;
        double r28097754 = z;
        double r28097755 = y;
        double r28097756 = r28097754 - r28097755;
        double r28097757 = r28097753 / r28097756;
        double r28097758 = r28097755 / r28097756;
        double r28097759 = r28097757 - r28097758;
        return r28097759;
}

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 2019170 +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)))