Average Error: 0.1 → 0.1
Time: 17.7s
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 r12486036 = 1.0;
        double r12486037 = 2.0;
        double r12486038 = r12486036 / r12486037;
        double r12486039 = x;
        double r12486040 = y;
        double r12486041 = z;
        double r12486042 = sqrt(r12486041);
        double r12486043 = r12486040 * r12486042;
        double r12486044 = r12486039 + r12486043;
        double r12486045 = r12486038 * r12486044;
        return r12486045;
}
↓
double f(double x, double y, double z) {
        double r12486046 = 1.0;
        double r12486047 = 2.0;
        double r12486048 = r12486046 / r12486047;
        double r12486049 = x;
        double r12486050 = z;
        double r12486051 = sqrt(r12486050);
        double r12486052 = y;
        double r12486053 = r12486051 * r12486052;
        double r12486054 = r12486049 + r12486053;
        double r12486055 = r12486048 * r12486054;
        return r12486055;
}

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 2019170 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, B"
  (* (/ 1.0 2.0) (+ x (* y (sqrt z)))))