Average Error: 0.3 → 0.3
Time: 5.6s
Precision: 64
\[x \cdot \log x\]
↓
\[x \cdot \log x\]
x \cdot \log x
↓
x \cdot \log x
double f(double x) {
        double r33281 = x;
        double r33282 = log(r33281);
        double r33283 = r33281 * r33282;
        return r33283;
}
↓
double f(double x) {
        double r33284 = x;
        double r33285 = log(r33284);
        double r33286 = r33284 * r33285;
        return r33286;
}

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 2019354 +o rules:numerics
(FPCore (x)
  :name "Statistics.Distribution.Binomial:directEntropy from math-functions-0.1.5.2"
  :precision binary64
  (* x (log x)))