Evolution is a matter of information processing. How to formalize this intuition and rationalize the diversity of transmission mechanisms, from Lamarckism to sex?

Evolution is a matter of information processing. How to formalize this intuition and rationalize the diversity of transmission mechanisms, from Lamarckism to sex?
The basic elements of evolution – selection/amplification/mutations – can be reproduced in the lab. But how to navigate the gigantic sequence space?