Average Error: 0.2 → 0.2
Time: 15.4s
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 r12184211 = 1.0;
        double r12184212 = 2.0;
        double r12184213 = r12184211 / r12184212;
        double r12184214 = x;
        double r12184215 = y;
        double r12184216 = z;
        double r12184217 = sqrt(r12184216);
        double r12184218 = r12184215 * r12184217;
        double r12184219 = r12184214 + r12184218;
        double r12184220 = r12184213 * r12184219;
        return r12184220;
}
↓
double f(double x, double y, double z) {
        double r12184221 = 1.0;
        double r12184222 = 2.0;
        double r12184223 = r12184221 / r12184222;
        double r12184224 = x;
        double r12184225 = y;
        double r12184226 = z;
        double r12184227 = sqrt(r12184226);
        double r12184228 = r12184225 * r12184227;
        double r12184229 = r12184224 + r12184228;
        double r12184230 = r12184223 * r12184229;
        return r12184230;
}

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

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

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)))))