If you have log files enabled, you can ask our system to rotate them from the Site Information page for your site in our member interface.
When you ask to rotate your logs, our system waits for an opportune moment and then does it. Your access_log file, for instance, becomes access_log.old and a new access_log is created. It may not be right away, but it usually takes just a few minutes.
If there was already an access_log.old, that file gets a name based on the timestamp of the logfile, such as access_log.20160828. At this point, any compression you have selected will be applied. However, as of August 2016, compression is generally not necessary as the filesystem already incorporates transparent LZ4 compression. If you do not want your log files to be doubly compressed, you can disable log compression on the Site Information panel.