Average Error: 58.6 → 58.6
Time: 3.1s
Precision: binary64
\[\log \left(\frac{1 - \varepsilon}{1 + \varepsilon}\right)\]
↓
\[\log \left(\frac{1 - \varepsilon}{1 + \varepsilon}\right)\]
\log \left(\frac{1 - \varepsilon}{1 + \varepsilon}\right)
↓
\log \left(\frac{1 - \varepsilon}{1 + \varepsilon}\right)
double code(double eps) {
	return ((double) log(((double) (((double) (1.0 - eps)) / ((double) (1.0 + eps))))));
}
↓
double code(double eps) {
	return ((double) log(((double) (((double) (1.0 - eps)) / ((double) (1.0 + eps))))));
}

Error

Bits error versus eps

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 58.6

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

  2. Final simplification58.6

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

Reproduce

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