[c10d] Record time spent for init_process_group, new_group, _store_based_barrier (#101912)
1. Record time spent for init_process_group, new_group, _store_based_barrier
2. Rename c10d_error_logger to c10d_logger for generalization.
3. Refactor to move logger wrappers in distributed_c10d.py to logger to c10d_logger.py.
4. Rename the logger wrappers (bc breaking). Exception_handler is renamed to exception_logger to avoid confusion with logging handler.
Pull Request resolved: https://github.com/pytorch/pytorch/pull/101912
Approved by: https://github.com/fduwjj
