Not true in practice, not enough energy on the universe to algorithmically derive everything. Also, someone with understanding and will would have to set up the program :)
Well then, how do you suppose the human brain does it ? Magic ? The answer of course is: it's heuristics all the way down.
But I don't think we can agree on anything here, I am a materialist and you seem to be a dualist. You may believe in some kind of god(s), (Otherwise how could will-ful humans emerge from will-less matter ?) and I don't intend to debate this here.
My worldview is that our brains exist in a material universe that is governed by physical rules, and until I see proof of the existence of some kind of soul that is somehow able to make decisions detached from our material condition (culture, health, environment, past history), I think my position is the most reasonable one.