We don't have synonyms for barreleye yet — it may be a rare, specialized, newly coined, or misspelled word. The closest thesaurus entries we have are barreled and barrelage.
(n) :
A small, deep-sea osmeriform fish of the family Opisthoproctidae, with barrel-shaped, tubular eyes which are generally directed upwards to detect the silhouettes of available prey.
(n) :
A small, deep-sea osmeriform fish of the family Opisthoproctidae, with barrel-shaped, tubular eyes which are generally directed upwards to detect the silhouettes of available prey.