Under the hood, is this simply checkpointing the files in the claude target folder or are you also checkpointing the claude context? One of my biggest pain poi

Under the hood, is this simply checkpointing the files in the claude target folder or are you also checkpointing the claude context? One of my biggest pain points is after a few compactions/edits to claude.md and all of a sudden Claude has made a few mistakes and all the context window cruft of fixes it attempted and reverted actually seem to confuse it further and it would be nice to reset to a known happy place code & contextually and retry from there.