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

Average Error: 0.3 → 0.3

Time: 11.2s

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 r44137 = x;
        double r44138 = log(r44137);
        double r44139 = r44137 * r44138;
        return r44139;
}

↓

double f(double x) {
        double r44140 = x;
        double r44141 = log(r44140);
        double r44142 = r44140 * r44141;
        return r44142;
}

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 2020047 
(FPCore (x)
  :name "Statistics.Distribution.Binomial:directEntropy from math-functions-0.1.5.2"
  :precision binary64
  (* x (log x)))