Average Error: 0.1 → 0.1
Time: 21.1s
Precision: 64
\[\frac{1}{2} \cdot \left(x + y \cdot \sqrt{z}\right)\]
↓
\[\frac{1}{2} \cdot \left(x + y \cdot \sqrt{z}\right)\]
\frac{1}{2} \cdot \left(x + y \cdot \sqrt{z}\right)
↓
\frac{1}{2} \cdot \left(x + y \cdot \sqrt{z}\right)
double f(double x, double y, double z) {
        double r180783 = 1.0;
        double r180784 = 2.0;
        double r180785 = r180783 / r180784;
        double r180786 = x;
        double r180787 = y;
        double r180788 = z;
        double r180789 = sqrt(r180788);
        double r180790 = r180787 * r180789;
        double r180791 = r180786 + r180790;
        double r180792 = r180785 * r180791;
        return r180792;
}
↓
double f(double x, double y, double z) {
        double r180793 = 1.0;
        double r180794 = 2.0;
        double r180795 = r180793 / r180794;
        double r180796 = x;
        double r180797 = y;
        double r180798 = z;
        double r180799 = sqrt(r180798);
        double r180800 = r180797 * r180799;
        double r180801 = r180796 + r180800;
        double r180802 = r180795 * r180801;
        return r180802;
}

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 0.1

    \[\frac{1}{2} \cdot \left(x + y \cdot \sqrt{z}\right)\]

  2. Final simplification0.1

    \[\leadsto \frac{1}{2} \cdot \left(x + y \cdot \sqrt{z}\right)\]

Reproduce

herbie shell --seed 2019199 +o rules:numerics
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, B"
  (* (/ 1.0 2.0) (+ x (* y (sqrt z)))))