Dimensions irrelevant for the output, will fall out. Regardless if they are random or not. If they somehow (anyhow) contribute, their influence will remain in the evolved algorithm.
The simplest algorithm in the Kolmogorov's sense is the best you can hope for.
This is the bimonthly 'What are you working On?' thread. Previous threads are here. So here's the question:
What are you working on?
Here are some guidelines: