Average Error: 14.9 → 14.9
Time: 2.1s
Precision: binary64
\[\log x - \log \left(x + \frac{1}{x}\right)\]
↓
\[\log x - \log \left(x + \frac{1}{x}\right)\]
\log x - \log \left(x + \frac{1}{x}\right)
↓
\log x - \log \left(x + \frac{1}{x}\right)
double code(double x) {
	return ((double) (((double) log(x)) - ((double) log(((double) (x + ((double) (1.0 / x))))))));
}
↓
double code(double x) {
	return ((double) (((double) log(x)) - ((double) log(((double) (x + ((double) (1.0 / x))))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 14.9

    \[\log x - \log \left(x + \frac{1}{x}\right)\]

  2. Final simplification14.9

    \[\leadsto \log x - \log \left(x + \frac{1}{x}\right)\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(- (log x) (log (+ x (/ 1 x))))"
  :precision binary64
  (- (log x) (log (+ x (/ 1.0 x)))))