Average Error: 0.2 → 0.2
Time: 15.7s
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 r11858515 = 1.0;
        double r11858516 = 2.0;
        double r11858517 = r11858515 / r11858516;
        double r11858518 = x;
        double r11858519 = y;
        double r11858520 = z;
        double r11858521 = sqrt(r11858520);
        double r11858522 = r11858519 * r11858521;
        double r11858523 = r11858518 + r11858522;
        double r11858524 = r11858517 * r11858523;
        return r11858524;
}
↓
double f(double x, double y, double z) {
        double r11858525 = 1.0;
        double r11858526 = 2.0;
        double r11858527 = r11858525 / r11858526;
        double r11858528 = x;
        double r11858529 = z;
        double r11858530 = sqrt(r11858529);
        double r11858531 = y;
        double r11858532 = r11858530 * r11858531;
        double r11858533 = r11858528 + r11858532;
        double r11858534 = r11858527 * r11858533;
        return r11858534;
}

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 2019192 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, B"
  (* (/ 1.0 2.0) (+ x (* y (sqrt z)))))