The [Trainer] is set to logging.INFO by default which reports errors, warnings, and other basic information. A [Trainer] replica - in distributed environments - is set to logging.WARNING which only reports errors and warnings. You can change the logging level with the log_level and log_level_replica parameters in [TrainingArguments].
To configure the log level setting for each node, use the log_on_each_node parameter to determine whether to use the log level on each node or only on the main node.