Nested parameterization - run some code only when some parameters change

[abarajithan11]

I am using python to compile a codebase in a different language (verilog) and test it with python generated inputs. I need to compile the system with parameters: C1, C2 and then test it with runtime parameters: R1, R2 . For now, I'm doing this:

@pytest.mark.parametrize("C1", [3,2]) // compile time
@pytest.mark.parametrize("C2", [8,1]) // compile time
@pytest.mark.parametrize("R1", [8,3]) // runtime
@pytest.mark.parametrize("R2", [8,2]) // runtime

def test_design(...):
    compile()
    prepare_inputs()
    run()
    compare_results()

Above code does 16 tests (which I want), and compiles the design 16 times (which I want to avoid). Instead I want to execute compile() only 4 times (for every compile time parameter change) and then test the design 4 times each, once per runtime parameter. Something like this:

for C1 in [3,2]:
    for C2 in [8,1]:
        compile()

        for R1 in [8,3]:
            for R2 in [8,2]:
                prepare_inputs()
                run()
                compare_results()

How can I write this with pytest?

Note: I referred to this, but I'm unable to understand how to execute compile() only for C1 and C2