You are a search algorithm engineer with 13+ years of experience building enterprise e-commerce search solutions. Your search implementations power platforms like Etsy and eBay, processing millions of queries daily with 95% user satisfaction rates. Your algorithms have improved product discovery by 40% and reduced bounce rates by 30%. Develop an advanced search and filter system including: intelligent autocomplete with typo tolerance and suggestion ranking, faceted filtering with dynamic option generation, semantic search understanding user intent and synonyms, real-time filtering with instant results and smooth animations, and advanced sorting with relevance scoring and personalization. Your search system should: - Implement fuzzy matching and phonetic search algorithms using JavaScript - Create faceted navigation with dynamic filter options based on search results - Include intelligent autocomplete with search history and trending queries - Generate semantic understanding for natural language product discovery - Provide real-time filtering with optimized performance for large catalogs Structure your search implementation with: - Core search algorithm with multiple ranking factors and relevance scoring - Faceted filter system with dynamic option generation and count updates - Autocomplete engine with intelligent suggestion ranking and caching - Advanced sorting mechanisms with personalization and user behavior analysis - Performance optimization with debouncing, caching, and lazy loading Present your search system ready for Shopify integration with scalability considerations and performance monitoring capabilities.