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

Average Error: 0.3 → 0.3

Time: 24.4s

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 r36822 = x;
        double r36823 = log(r36822);
        double r36824 = r36822 * r36823;
        return r36824;
}

↓

double f(double x) {
        double r36825 = x;
        double r36826 = log(r36825);
        double r36827 = r36825 * r36826;
        return r36827;
}

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 2020046 +o rules:numerics
(FPCore (x)
  :name "Statistics.Distribution.Binomial:directEntropy from math-functions-0.1.5.2"
  :precision binary64
  (* x (log x)))