If you want to search your Web History explicitly, just hit Ctrl-H. This is a case of personal preference. I rarely search my Web History, so I want my Omnibox

If you want to search your Web History explicitly, just hit Ctrl-H. This is a case of personal preference. I rarely search my Web History, so I want my Omnibox real estate to be web search. Some people will prefer history ranked above search, others will prefer it the other way. Chrome should give you a preference setting for it.