Have a look at:
- AI Search Solutions For Ecommerce – SearchNode.
- Personalization Technology & Personalization Solutions | RichRelevance.
They claim to allow searching on a website with good speed and advanced algorithms.
It can be difficult, even for a small website, to show all the right possibilities to write a word.
It would also help if the search would know similar terms (synonyms), and display the most relevant products first.
The integration of an artificial intelligence solution may be relevant.