Why the complexity is so high

Something like

|x| = 1

is non convex. And the constraint

x=z^3

is non convex. Hence it is impossible to express in cvx.

Thanks Erling
Is there any other methods or functions in CVX that can be used to transform a non-convex expression into the convex expression? I hope to find functions to accurately declare such data structure, otherwise, the performance loss will be inevitable if CVX is applied to it.

Please carefully read Why isn't CVX accepting my model? READ THIS FIRST!

You may also wish to study https://web.stanford.edu/~boyd/cvxbook/ .

Thanks Mark
Sure, since I want CVX to solve my model, I must find a way to express it in a manner that complies with the DCP ruleset, if I can not, I should not and will not be able to use CVX.