Improving performance of multiword queries

Hi all!
I have an index (around 100GB size) which performs very well (>1000 qps with jmeter) on single word queries (such as "computer"), but performs very badly on multiword queries (such as "How to use a computer"). I expect performance to take a hit when the query has several words.
Since my workload mainly involves multiword queries, what elasticsearch settings can I tinker with to improve multiword-query response times?

I'm thinking of trying specifying cutoff frequencies, minimum-should-match to improve. Am I headed in the right direction?
My documents are webpages

Thanks

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