inducer / inducer/grudge

_DistributedLazilyCompilingFunctionCaller._dag_to_compiled_func loses metadata.

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Description

We preprocess each partitioned DAG and doing so loses some information on the way.

Consider this DAG:
![image](https://user-images.githubusercontent.com/15399010/158482825-91416af6-851c-463e-a57e-4620e3784b03.png)

Notice how the knowledge of "x1" being a DOFArray is unavailable during the preprocessing of "Partition 2" and this leads to some inference failures.

/cc @matthiasdiener @inducer

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