I wonder if it's worth it, with this amount of tunables, to write software to tune them automatically, gradient decent wise: Choose parameter from a whitelist a

I wonder if it's worth it, with this amount of tunables, to write software to tune them automatically, gradient decent wise: Choose parameter from a whitelist at random and slightly increase or decrease them, inside a permitted range. Measure performance for a while, then undo if things got worse, do some more if things got better.