It seems reasonable to surmise there are some comparatively simple biological algorithms operating at the complex molecular scale.

It looks as if a lot of complex behavior is driven by relatively little information, starting with DNA. After some proteins are built, the interactions and the processes they govern lead to widely different, and strangely similar, behaviors and structures.

An example is wings on an insect. Those are complex structures with fairly complicated operations, at least if you tried to duplicate them.

They are cranked out reliably and cheaply by a few proteins. Have to be following some fairly simple, almost foolproof algorithms.

As computational power becomes more powerful and common, I'll bet the complexities get somewhat resolved. Which will lead to more complexities, etc.