There's a usage report that would show searches based on the search type that was performed. It has every type of search that may apply or may not apply to the databases a customer is subscribing to. They include:

Basic
Advanced
CommandLine
TextMatch
LookupCitation
Publication
FigureAndTables
Widget
QuickSearch
SmartSearch
SearchWithin
DocumentLinks
Topicpaths
Obituary
DataReports
Combined
DocviewIndexTerms
SearchByFilterTerms
OpenURLMultipleMatchPage
OpenURLResolution
PublicationSearchWithin
OpenURLNoMatch

Also, this report shows searches based on usage groups included in a customer's account. 
To access it, the customer needs to login to ProQuest Administrative Account then choose it as shown down below:

Searches By Search Mode Usage Report