I assume you want the suffering to be an "equal" to the crime committed, by suggesting torture.

but what if the criminal is a masochist?

Besides being outlawed under international law, torture contributes nothing to rehabilitation efforts (attempting to make prisoners less liable to commit crimes is arguably the entire purpose of the correctional system, to correct) and is widely viewed as unethical.

our justice system has imperfections that allow for innocent people to be subject to punishment, and torture of an innocent person is an injustice in itself

The United States Constitution forbids the use of cruel and unusual punishment; it is likely that torture was the specific target of this clause.

Then the punishers and the people who allow the torture to happen would be no better than the people who commited the crime, and would deserve to be tortured themselves.