Average Error: 0.1 → 0.1
Time: 59.9s
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 r11149774 = 1.0;
        double r11149775 = 2.0;
        double r11149776 = r11149774 / r11149775;
        double r11149777 = x;
        double r11149778 = y;
        double r11149779 = z;
        double r11149780 = sqrt(r11149779);
        double r11149781 = r11149778 * r11149780;
        double r11149782 = r11149777 + r11149781;
        double r11149783 = r11149776 * r11149782;
        return r11149783;
}
↓
double f(double x, double y, double z) {
        double r11149784 = 1.0;
        double r11149785 = 2.0;
        double r11149786 = r11149784 / r11149785;
        double r11149787 = x;
        double r11149788 = z;
        double r11149789 = sqrt(r11149788);
        double r11149790 = y;
        double r11149791 = r11149789 * r11149790;
        double r11149792 = r11149787 + r11149791;
        double r11149793 = r11149786 * r11149792;
        return r11149793;
}

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

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

Reproduce

herbie shell --seed 2019200 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, B"
  (* (/ 1.0 2.0) (+ x (* y (sqrt z)))))