Improve the real or perceived speed of the site, or monitor performance metrics.
GUI utilities and drush commands to help Drupal websites deal with common problems associated with scale.
Save Disk Space
Save Disk Space module helps you to save memory disk space by deleting the unused images in the website.
Summary: Are you trying to store only the log messages that are required? Either it is Warnings, Notice, Php, Debug, etc.
Drupal 8 Cache Backport is a module that brings Drupal 8 cache tags and cache max-age back to Drupal 7 (If there is interest, cache contexts will follow).
This project is obsolete - the functionality to keep the size of cache tables down exists in Drupal core from 8.4.0
development is on github https://github.com/yurii-github/syscache