Statistics.Distribution.Binomial:directEntropy from math-functions-0.1.5.2

Average Error: 0.3 → 0.3

Time: 11.9s

Precision: 64

• Falling back on racket egraph because egg-herbie package not installed

Math

\[x \cdot \log x\]

↓

\[x \cdot \log x\]

C

double f(double x) {
        double r48686 = x;
        double r48687 = log(r48686);
        double r48688 = r48686 * r48687;
        return r48688;
}

↓

double f(double x) {
        double r48689 = x;
        double r48690 = log(r48689);
        double r48691 = r48689 * r48690;
        return r48691;
}

Error

Bits error versus x

Derivation

1. Initial program 0.3

   \[x \cdot \log x\]

2. Final simplification 0.3

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

Reproduce

herbie shell --seed 2019351 +o rules:numerics
(FPCore (x)
  :name "Statistics.Distribution.Binomial:directEntropy from math-functions-0.1.5.2"
  :precision binary64
  (* x (log x)))