Average Error: 0.3 → 0.3
Time: 5.1s
Precision: 64
\[x \cdot \log x\]
↓
\[x \cdot \log x\]
x \cdot \log x
↓
x \cdot \log x
double f(double x) {
        double r27872 = x;
        double r27873 = log(r27872);
        double r27874 = r27872 * r27873;
        return r27874;
}
↓
double f(double x) {
        double r27875 = x;
        double r27876 = log(r27875);
        double r27877 = r27875 * r27876;
        return r27877;
}

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 2019353 +o rules:numerics
(FPCore (x)
  :name "Statistics.Distribution.Binomial:directEntropy from math-functions-0.1.5.2"
  :precision binary64
  (* x (log x)))