Average Error: 0.2 → 0.2
Time: 15.5s
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 r12171843 = 1.0;
        double r12171844 = 2.0;
        double r12171845 = r12171843 / r12171844;
        double r12171846 = x;
        double r12171847 = y;
        double r12171848 = z;
        double r12171849 = sqrt(r12171848);
        double r12171850 = r12171847 * r12171849;
        double r12171851 = r12171846 + r12171850;
        double r12171852 = r12171845 * r12171851;
        return r12171852;
}
↓
double f(double x, double y, double z) {
        double r12171853 = 1.0;
        double r12171854 = 2.0;
        double r12171855 = r12171853 / r12171854;
        double r12171856 = x;
        double r12171857 = z;
        double r12171858 = sqrt(r12171857);
        double r12171859 = y;
        double r12171860 = r12171858 * r12171859;
        double r12171861 = r12171856 + r12171860;
        double r12171862 = r12171855 * r12171861;
        return r12171862;
}

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)))))