If I have more experience than you that means you have no experience at all. I've never used contracts in anything (not even a toy). I've been following contracts in hopes that they can be the next step in my quality journey, but I have no real world experience myself.
By whole program analysis I mean you need the entire call tree of a function - stopping only when you can validate that the range of values is constrained to legal values. For some functions this is really simple, while for others the whole flow can be thousands of functions.