At what point of dating someone does it become less about getting to know each other and more about simply enjoying each others company?

Not to say you can't relax and enjoy the initial stage(s) of dating, but in your experience at what stage (say how many dates in) does the atmosphere usually shift from being a bit structured/getting to know eachother, to just hanging out and enjoying eachothers presence without having to get dressed up and with nothing actually planned?

By the 3rd date? Not for months? After you slept together? After you became 'official'?

I know it differs for every relationship, but I'm interested to hear.