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

Average Error: 0.3 → 0.3

Time: 25.0s

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 r45889 = x;
        double r45890 = log(r45889);
        double r45891 = r45889 * r45890;
        return r45891;
}

↓

double f(double x) {
        double r45892 = x;
        double r45893 = log(r45892);
        double r45894 = r45892 * r45893;
        return r45894;
}

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)))