Why do I have so many variables and constraints, even if I write nothing after "subject to"?

Using Pade approximation for exponential
cone with parameters m=3, k=3

is a message from CVXQUAD. m = 3, k = 3, are standard parameter values of its Pade approximation method.

As for the error message, in the future please show a complete reproducible problem, copy and pasted using Preformatted text icon, not posting an image of code.

You haven’t told us what the CVX variabes are, so I don’t even know if your expression is suitable for CVX. Are you able to enter your problem and have it accepted when CVXQUAD is not used? Are you only getting an error when reformulating log to rel_entr for CVXQUAD?

Your first step is to prove your optimization problem is convex.