> It is looking for any change in sequence with a positive payoff
The entire reason I used the example of the combination lock was so that hopefully you would understand situations in which "any change in sequence with a positive payoff" is a nonsense concept. You either get the correct combination or don't get any positive payoff whatsoever.
When you are trying "millions or billions" of genetic variations are being explored at any point in time, as you point out, you are off by so many orders of magnitude in terms of the search space that you need to explore that the problem is intractable.
You may as well tell me that you can guess a random password that I come up with because you have a way to test millions or billions of combinations at a time. That's great, but I can come up with a random password that it would take you from now until the end of the universe to guess even if you guess quadrillions of possibilities at a time because I can create a password that would require you to test 10^84 possibilities.
The entire reason I used the example of the combination lock was so that hopefully you would understand situations in which "any change in sequence with a positive payoff" is a nonsense concept. You either get the correct combination or don't get any positive payoff whatsoever.
When you are trying "millions or billions" of genetic variations are being explored at any point in time, as you point out, you are off by so many orders of magnitude in terms of the search space that you need to explore that the problem is intractable.
You may as well tell me that you can guess a random password that I come up with because you have a way to test millions or billions of combinations at a time. That's great, but I can come up with a random password that it would take you from now until the end of the universe to guess even if you guess quadrillions of possibilities at a time because I can create a password that would require you to test 10^84 possibilities.