Fix invalid check of recorded parameter orders in zero stage3. (#2550)

Co-authored-by: Olatunji Ruwase <[email protected]>

deepspeed/runtime/zero/partitioned_param_coordinator.py

@@ -187,16 +187,18 @@ def reset_step(self) -> None:
                 f"{[p.ds_summary for p in self.__inflight_param_registry.keys()]}")
 
         if not self.is_complete_trace():  # not self.trace_complete:
-            # Make sure that recorded parameter and submodule orders are
-            # identical across ranks
+            # Make sure that recorded submodule orders are identical across ranks
             assert_ints_same_as_other_ranks([m.id for m in self.__submodule_order])
-            assert_ints_same_as_other_ranks([p.param.ds_id for p in self.__param_order])
-            assert_ints_same_as_other_ranks(
-                [p.step_id_last_used_at for p in self.__param_order])
 
             if self.is_record_trace():
                 # Successfully recorded a trace
                 self.construct_parameter_trace_from_module_trace()
+                # Make sure that recorded parameter orders are identical across ranks
+                assert_ints_same_as_other_ranks(
+                    [p.param.ds_id for p in self.__param_order])
+                assert_ints_same_as_other_ranks(
+                    [p.step_id_last_used_at for p in self.__param_order])
+
                 self.__submodule_order = tuple(self.__submodule_order)  # freeze
                 self.__param_order = tuple(self.__param_order)  # freeze
                 self.__trace_mode = ZeRoTraceMode.COMPLETE