Average Error: 0.2 → 0.2
Time: 16.6s
Precision: 64
\[\frac{1}{2} \cdot \left(x + y \cdot \sqrt{z}\right)\]
↓
\[\frac{1}{2} \cdot \left(x + \sqrt{z} \cdot y\right)\]
\frac{1}{2} \cdot \left(x + y \cdot \sqrt{z}\right)
↓
\frac{1}{2} \cdot \left(x + \sqrt{z} \cdot y\right)
double f(double x, double y, double z) {
        double r194612 = 1.0;
        double r194613 = 2.0;
        double r194614 = r194612 / r194613;
        double r194615 = x;
        double r194616 = y;
        double r194617 = z;
        double r194618 = sqrt(r194617);
        double r194619 = r194616 * r194618;
        double r194620 = r194615 + r194619;
        double r194621 = r194614 * r194620;
        return r194621;
}
↓
double f(double x, double y, double z) {
        double r194622 = 1.0;
        double r194623 = 2.0;
        double r194624 = r194622 / r194623;
        double r194625 = x;
        double r194626 = z;
        double r194627 = sqrt(r194626);
        double r194628 = y;
        double r194629 = r194627 * r194628;
        double r194630 = r194625 + r194629;
        double r194631 = r194624 * r194630;
        return r194631;
}

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 0.2

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

  2. Final simplification0.2

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

Reproduce

herbie shell --seed 2019174 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, B"
  (* (/ 1.0 2.0) (+ x (* y (sqrt z)))))