In order to compare searches and hits from both Monitor and Pulse in an analysis you can do the following. When creating an analysis in Pulse, choose profiles, time period, presentation, and further click create report.
You now have an option to select add. Here you can include profiles from Monitor in your report. Click Monitor, select the profile you want to include in the report and time period. Choose a name for the search. Further, click add and update.
Add profiles from Monitor:
Insert the name of search, the profile from Monitor and time period: