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We've noticed some pretty horrendous issues with restarting after a checkpoint recently.
I think that this is due to not saving all of the relevant state information.
This MR ensures the whole sampler will be saved.
I also took the liberty of adding two more plots.
One is the run plot which dynesty produces, e.g.,
The other is a little less pretty but shows the bound idx, number of likelihood calls and sampling scale as a function of the nested sampling iteration, e.g.,
The above plot shows the issue we had, the large spike followed by a higher nc steady state is when the run was interrupted and reloaded from the resume file (note that I stopped this run before it completely converged).
This is what that plot looks like with no interruption
This is what the plot looks like with the new checkpointing
