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

Average Error: 0.3 → 0.3

Time: 12.9s

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 r44836 = x;
        double r44837 = log(r44836);
        double r44838 = r44836 * r44837;
        return r44838;
}

↓

double f(double x) {
        double r44839 = x;
        double r44840 = log(r44839);
        double r44841 = r44839 * r44840;
        return r44841;
}

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 2020043 +o rules:numerics
(FPCore (x)
  :name "Statistics.Distribution.Binomial:directEntropy from math-functions-0.1.5.2"
  :precision binary64
  (* x (log x)))