Add find_intermediate_sharding to optimize resharding. #146
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Add find_intermediate_sharding to optimize resharding.
This change introduces
find_intermediate_sharding, which attempts to find an intermediate sharding to optimize resharding between two NamedShardings. This is particularly useful when resharding from a sharding with a larger total number of shards to one with a smaller total number of shards, where a direct resharding might involve an expensive all-gather. The intermediate sharding is constructed by splitting certain sharded dimensions into a "split" axis and a "replica" axis, allowing for a more efficient two-step resharding process. Helper functions are added to analyze sharding dimensions and build the intermediate mesh and PartitionSpec. Tests are included for the new functionality.