Naproxen = Aleve
Take a close look. Naproxen sodium is what Aleve is. The only difference is that you can get it at a higher potency if you get it in a prescription. However, its much more expensive and you are just as good of going to the supermarket and popping 2 of those instead of 1 prescription one for much less money.
As for your question, it is a decent med, but there are much stronger things out there. However, if pain is terribly severe, it is often treated with Opium-based painkillers such as Vicodin (hydrocodone), Oxycontin (oxycodone), etc.