If you're building a user-facing search bar and you want a search experience that looks like you have on Google and Amazon, we're definitely the best fit. That's because we've designed our engine to handle as-you-type search & typing mistakes and injecting business data in the ranking algorithm to provide your users the best text & business relevance.
We're also Elasticsearch users, we use it for its analytic/aggregation capabilities: we're building analytics on top of our end-user queries (just to be clear: we're NOT using Elasticsearch for the Algolia search API). It's a very good piece of software but we don't use their ranking or full-text search capabilities.