The short answer is: we're better at recommendations and personalization and lean towards more technical teams (e.g. even with data/ML experience). They're better at traditional search and, these days, lean towards less technical teams.
Yes play.shaped.ai! We just opened that up in a gateless way for this post. Let me know what you think. I should also mention that these demo models are on our cold-tier so that it doesn't break things, in production there's a big speed up.
Longer answer is in our blog post about it: https://www.shaped.ai/blog/shaped-vs-algolia-recommend :)