Average Error: 3.3 → 3.3
Time: 18.5s
Precision: 64
\[x \cdot \left(1 - y \cdot z\right)\]
↓
\[x \cdot \left(1 - y \cdot z\right)\]
x \cdot \left(1 - y \cdot z\right)
↓
x \cdot \left(1 - y \cdot z\right)
double f(double x, double y, double z) {
        double r241826 = x;
        double r241827 = 1.0;
        double r241828 = y;
        double r241829 = z;
        double r241830 = r241828 * r241829;
        double r241831 = r241827 - r241830;
        double r241832 = r241826 * r241831;
        return r241832;
}
↓
double f(double x, double y, double z) {
        double r241833 = x;
        double r241834 = 1.0;
        double r241835 = y;
        double r241836 = z;
        double r241837 = r241835 * r241836;
        double r241838 = r241834 - r241837;
        double r241839 = r241833 * r241838;
        return r241839;
}

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

Derivation

  1. Initial program 3.3

    \[x \cdot \left(1 - y \cdot z\right)\]

  2. Final simplification3.3

    \[\leadsto x \cdot \left(1 - y \cdot z\right)\]

Reproduce

herbie shell --seed 2019306 +o rules:numerics
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  :precision binary64
  (* x (- 1 (* y z))))