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A procedure that does not reference outside variables is easier to offload to a device, or other off-chip processor.
PURE procedures operate without writing to global variables beyond their arguments, SIMPLE procedures would be further restricted from referencing global variables beyond their arguments.
Another subtle benefit from using SIMPLE procedures is that SIMPLE procedure pointers don't need to waste space for a "static link" to potential host-associated objects; mere code address(es) suffice.
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