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Add more tests for higher order autodiff #2142

@syclik

Description

@syclik

Summary:

Add testing for higher order autodiff. We need to be able to determine where we aren't able to compile models in higher order.

This goes along with stan-dev/math#403.

Description:

We can determine which functions aren't compiling with higher-order autodiff through the language pretty easily. We've included a lot of instantiations of functions through src/test/test-models/good/*.stan functions.

I'm planning on running through them all and testing that forward mode and mixed mode compiles.

Reproducible Steps:

We don't have an easy way of reproducing it.

Current Version:

v2.13.0

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