I find that exercise helps me get out of analysis paralysis when writing software and just do something. Sometimes exercise also helps me disengage and later re-engage from a different direction. In that sense it's similar to taking a shower but it takes longer and the physical effort itself also changes thinking. The world does look different when you're pushing your body hard, as if fighting for your life.

I do strength then endurance - the two somewhat cancel out but I like doing it that way and my goal isn't to win any competitions.