Average Error: 0.3 → 0.3
Time: 39.2s
Precision: 64
\[x \cdot \log x\]
↓
\[\log x \cdot x\]
x \cdot \log x
↓
\log x \cdot x
double f(double x) {
        double r1738370 = x;
        double r1738371 = log(r1738370);
        double r1738372 = r1738370 * r1738371;
        return r1738372;
}
↓
double f(double x) {
        double r1738373 = x;
        double r1738374 = log(r1738373);
        double r1738375 = r1738374 * r1738373;
        return r1738375;
}

Error

Bits error versus x

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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

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

Reproduce

herbie shell --seed 2019200 +o rules:numerics
(FPCore (x)
  :name "Statistics.Distribution.Binomial:directEntropy from math-functions-0.1.5.2"
  (* x (log x)))