Regular expression to enforce complex passwords, matching 3 out of 4 rules

I have the following criteria for creating a regular expression for a password that conforms to the following rules:

1. The password must be 8 characters long (this I can do :-)).

The password must then contain characters from at least 3 of the following 4 rules:

1. Upper case
2. Lower case
3. Numbers
4. Non-alpha numeric

I can make the expression match ALL of those rules with the following expression:

/^(?=.*\d)(?=.*[a-z])(?=.*[A-Z])(?=.[\W]).{8,}$/

But I am struggling with how to do this in such a way that it only needs to solve any 3 of the 4 rules.

Can anyone help me out with this?