CVX optimizes the problem, e.g. uses a heuristic to analyze if primal or dual should be solved, eliminate variables, etc. How can I tell it not to spend time on this (I’ll do it) and just send the problem to the solver (e.g. mosek)?
You cannot, unfortunately. It has never been our goal to make CVX easy to tweak under the hood. It is meant to be a “set it and forget it” type of system. I believe YALMIP may offer more customization in this area.