This simple plugin can search information from your messages without non-relevant info for search engines, like Java Class names or file names.
Install this plugin like any other via IDEA plugin repository, or copy plugin jar to plugin folder of your IDE.
Select text in run/message/log/etc... window, right click, select smart search.
Sample search
Smart search
In current moment this plugin supports only IntelIJ IDEA, i will add compatibility with other JetBrains IDEs, if people will want =)