I believe Arthur C. Clarke said it best...
in reply to What does it mean for a Perl feature to be Magic?
"Any sufficiently advanced technology is virtually indistinguishable from magic."
Basically perl is so great at doing some things, that one would almost think that it does things magically, when really just a LOT of thought and effort has gone into its design behind the scenes...
Automagically is really just a cute term for automatically, but again a lot of things are often done behind the scenes that, if you don't understand them, can seem quite magical :)
That's about the size of it...
- Some of my best work - Fish Dinner