Average Error: 0.0 → 0.0
Time: 3.0s
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 r723748 = x;
        double r723749 = y;
        double r723750 = r723748 - r723749;
        double r723751 = z;
        double r723752 = r723751 - r723749;
        double r723753 = r723750 / r723752;
        return r723753;
}
↓
double f(double x, double y, double z) {
        double r723754 = x;
        double r723755 = z;
        double r723756 = y;
        double r723757 = r723755 - r723756;
        double r723758 = r723754 / r723757;
        double r723759 = r723756 / r723757;
        double r723760 = r723758 - r723759;
        return r723760;
}

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 2020018 +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)))