DOF axis tags should include (at least) element group type, order

[inducer]

Right now, fusion in the CEESD branches is only based on loop length, but this can be insufficient. In the tensor product setting, the number of quadrature DOFs and interpolatory DOFs can be the same, but vectors from those two element groups should never be involved in the same expression, hence there won't ever be horizontal fusion.

At the same time, the current fusion algorithm is quite eager to discard fusion candidates, which can wreck fusion if a non-fusible pair of inames is found.

Thus IMO it makes sense to distinguish axes more finely.

cc @majosm

[kaushikcfd]

Right now, fusion in the CEESD branches is only based on loop length, but this can be insufficient

Slight correction: It's tag-type + loop-length.

[majosm]

Just linking my draft of this here for future reference (to be added together with grudge DOF array stuff, when that is available):
meshmode@production-dof-tagging
grudge@production-dof-tagging
mirgecom@production-dof-tagging