Incremental bloom filter rebuild for B+ trees under multi-version concurrency control

A method comprising: processing an update to a search tree and updating statistics, the search tree storing information about one or more objects indexed by corresponding object keys; determining to rebuild a first Bloom filter based on the statistics, the first Bloom filter associated with the search tree; generating a second Bloom filter associated with the search tree; populating the second Bloom filter as part of a tracing garbage collection process; and replacing the first Bloom filter with the second Bloom filter.