I'm afraid I have to disagree. I would propose Yet Another dogma (familiar to most I am sure):
"everything in moderation"
While I'll say it is great you have expanded your own knowledge to have memorized the precedence table, That doesn't mean that everyone reading your code will take that same initiative. Unless you are coding soley for yourself or know the exact audience of maintainers you will not be able to rely on the skill/knowledge level of those who work with your code. Consider especially if you were to submit something to CPAN!
Even beyond the matter of skill level, I'd have to agree with Masem that it's easier to SEE at a glance what a certain statement is trying to do with a few well-placed parens. For me it is usually a matter of visual grouping over forcing precedence and I often code per Masem's third example because it self-documents the coder's intent, while the first two do not.