Average Error: 0.3 → 0.2
Time: 17.1s
Precision: 64
\[{x}^{2} \cdot \log x\]
\[{x}^{\left(\frac{2}{2}\right)} \cdot \left({x}^{\left(\frac{2}{2}\right)} \cdot \log x\right)\]
{x}^{2} \cdot \log x
{x}^{\left(\frac{2}{2}\right)} \cdot \left({x}^{\left(\frac{2}{2}\right)} \cdot \log x\right)
double f(double x) {
        double r670250 = x;
        double r670251 = 2.0;
        double r670252 = pow(r670250, r670251);
        double r670253 = log(r670250);
        double r670254 = r670252 * r670253;
        return r670254;
}

double f(double x) {
        double r670255 = x;
        double r670256 = 2.0;
        double r670257 = 2.0;
        double r670258 = r670256 / r670257;
        double r670259 = pow(r670255, r670258);
        double r670260 = log(r670255);
        double r670261 = r670259 * r670260;
        double r670262 = r670259 * r670261;
        return r670262;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.3

    \[{x}^{2} \cdot \log x\]
  2. Using strategy rm
  3. Applied sqr-pow0.3

    \[\leadsto \color{blue}{\left({x}^{\left(\frac{2}{2}\right)} \cdot {x}^{\left(\frac{2}{2}\right)}\right)} \cdot \log x\]
  4. Applied associate-*l*0.2

    \[\leadsto \color{blue}{{x}^{\left(\frac{2}{2}\right)} \cdot \left({x}^{\left(\frac{2}{2}\right)} \cdot \log x\right)}\]
  5. Final simplification0.2

    \[\leadsto {x}^{\left(\frac{2}{2}\right)} \cdot \left({x}^{\left(\frac{2}{2}\right)} \cdot \log x\right)\]

Reproduce

herbie shell --seed 1 
(FPCore (x)
  :name "x^2 log(x)"
  :precision binary64
  (* (pow x 2) (log x)))