Suppose that the performance of a system depends on the efficiency of two sub systems called A and B. And I want to say something along this line:

A can compensate the poor performance of B, but B can not compensate the poor performance of A.

I am wondering how I can simplify this sentence into a more compact one with omitting the unnecessary repetitive (redundant?) parts. I would say:

A can compensate the poor performance of B, but not true the other way around.

I am wondering if my sentence is correct and idiomatic? If so, is it good for an academic and sort of formal writing?