Error in individual analysis breaks an entire analysis document #1076
Description
One general problem that #1065 has shown is how bad it is when an analysis "breaks": a single cell in an analysis resulting in an error means the entire analysis document is broken, showing just the generic "Error" modal popup. This is incredibly annoying because it means that the entire document is unrecoverable.
It would be better if a broken analysis only broke the analysis itself, so it could e.g. just be deleted from the analysis document.