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ETA!: A Measure of Evolution

https://breckyunits.com/eta.html

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Why would reducing the size of the assembly pool increase the lifespan of an idea?

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Increase the lifespan of a *bad* idea. A larger assembly pool means a bad idea will evolve into a good idea faster.

why would that be the case? A larger assembly pool just means the search space is larger but it says nothing about the average fitness or distribution of possible assemblies

If A' is an alteration of A with a quantum jump in fitness, and A' is composed of (A + Z), then we can't get to A' until Z is in the assembly pool.

Ok but if I add X & Y then the assembly pool is larger but won’t reach A' because A' requires Z

I can do this infinitely, adding elements to A that don’t improve fitness

Larger A increases the search space with no guarantee of improved fitness, in fact increasing the lifespan of “bad” ideas, not decreasing

Haha. All you're saying is that there's a guarantee of improved fitness by increasing A as long as subassemblies on average improve fitness. That's a tautology.

What this formalism is missing is that the context / environment informs the time-to-fitness.

Here, you can test it easily: implement a genetic algorithm searching for the string "abababababababa". Now, randomly select a subset of letters from the English alphabet as the assembly elements A (e.g. A = {c, g, e, z}). On average, time-to-fitness will tend to decrease with each marginal element added to the assembly.

I'd guess the graph looks something like this:

There is a guarantee of improved fitness by increasing A. If you only added bad ideas to A, then that implies you have a filter F that can detect good ideas, so just add !F. If you add all ideas at random, then you will add ideas that improve fitness.