Elasticsearch is using way too much disk space
Elasticsearch does not shrink your data automagically. This is true for any database. Beside storing the raw data, each database has to store metadata along with it. Normal databases only store an index (for faster search) for the columns the db-admin chose upfront. ElasticSearch is different as it indexes every column by default. Thus making the index extremely large, but on the other hand gives perfect performance while retrieving data.
In normal configurations you see an increase of 4 to 6 times of the raw data after indexing. Although it heavily depends on the actual data. But this is actually intended behavior.
So to decrease the database size, you have to go the other way around like you did in RDBMs: Exclude columns from being indexed or stored that you do not need to be indexed.
Additionally you could turn on compression, but this will only improve when your "documents" are large, which is probably not true for log file entries.
There are some comparisons and and useful tips here: https://github.com/jordansissel/experiments/tree/master/elasticsearch/disk
But remember: Searching comes with a cost. The cost to pay is disk space. But you gain flexibility. If your storage size exceeds, then grow horizontally! This is where ElasticSearch wins.