Average Error: 0.3 → 0.3
Time: 15.1s
Precision: 64
\[x \cdot \log x\]
↓
\[x \cdot \log x\]
x \cdot \log x
↓
x \cdot \log x
double f(double x) {
        double r45425 = x;
        double r45426 = log(r45425);
        double r45427 = r45425 * r45426;
        return r45427;
}
↓
double f(double x) {
        double r45428 = x;
        double r45429 = log(r45428);
        double r45430 = r45428 * r45429;
        return r45430;
}

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

    \[x \cdot \log x\]

  2. Final simplification0.3

    \[\leadsto x \cdot \log x\]

Reproduce

herbie shell --seed 2019179 +o rules:numerics
(FPCore (x)
  :name "Statistics.Distribution.Binomial:directEntropy from math-functions-0.1.5.2"
  (* x (log x)))