Logging/saving flow events

Good evening,
Newbie question:
When creating a flow I see you can use a debug node, and the editor has tool tips with some data.
Are the messages passed between nodes saved anywhere so we can analyze what happened?

You can set the debug node to send all or part of message to console, or use a contrib logging node.

Thanks! I'm sure I'll want to examine what it did after the fact without the editor.