Regexes Don’t Send Email
Don't go overboard in trying to eliminate invalid email addresses with your regular expression. The reason is that you don't really know whether an address is valid until you try to send an email to it. And even that might not be enough. Even if the email arrives in a mailbox, that doesn't mean somebody still reads that mailbox. If you really need to be sure an email address is valid, you'll need to send an email to it that contains a code or link for the recipient to perform a second authentication step. And if you're doing that, then there is little point in using a regex that may reject valid email addresses.
The same principle applies in many situations. When trying to match a valid date, it's often easier to use a bit of arithmetic to check for leap years, rather than trying to do it in a regex. Use a regular expression to find potential matches or check if the input uses the proper syntax, and do the actual validation on the potential matches returned by the regular expression. Regular expressions are a powerful tool, but they're far from a panacea.