Blazing Fast Merge with Loser Trees - Bryan Boreham, Grafana Labs

Learn how Loser Trees provide 4-8x faster merging of ordered sequences compared to heaps. Explore implementation details, performance gains & real-world usage in Prometheus.

Key takeaways
  • Loser Trees provide an efficient solution for the K-way merge problem, commonly used in databases for merging ordered sequences
  • Implementation in Go showed 4-8x performance improvements compared to heap-based approaches, despite having similar O(n log k) complexity
  • Key performance gains came from:
    • Less pointer chasing
    • Reduced memory allocation
    • Elimination of dynamic dispatch overhead through generics
    • Better CPU cache utilization
  • The algorithm maintains winners/losers in a binary tree structure that can be implemented without pointers using array indexing
  • Go 1.23 iterators don’t naturally fit the pull-based nature of loser trees, as they are push-based
  • Memory overhead of the loser tree implementation is relatively small compared to total program memory usage
  • Devirtualization and profile-guided optimization can further improve performance
  • Sometimes simpler algorithms with “worse” complexity can perform better due to mechanical sympathy with hardware
  • Go generics work well for implementing the algorithm but have limitations around parameterized methods
  • The technique has been successfully implemented in Prometheus and Loki for merging metrics and log data