Hello! I didn't quite understand -- are looking for a log analysis tool that also helps with related web analytics? Disclosure: I work for Logz.io (http://logz.io) and our log analytics platform can do exactly that.

To learn more about the intersection of log analytics and web analytics, you might want to see this Moz post I wrote a few weeks ago on using log data to analyze search engine crawl rates, crawl budgets, bad response codes, crawl priorities, duplicate URL crawling, and more:

https://moz.com/blog/technical-seo-log-analysis

I hope it might help! (Again, full disclosure repeated. :)