What do agent regex queries look like?
Watch an agent work and the pattern shows quickly. It sends invoice when it means a keyword. It sends (?i)nobel prize when it wants a phrase search that ignores case. It sends colou?r to cover a spelling variant, and it sends error (reading|writing) file to test two hypotheses in one call. None of those queries need the power of regex, but regex expresses all of them, so the agent never has to choose a tool. TopK observed the same behavior in production, and it is what motivated the sparse-gram regex index.
Person searching
One query at a time
Keywords for keywords, regex rarely
Can tolerate a slow scan
Scans are an occasional cost
Agent searching
Many concurrent probes
Regex for everything, mostly literals
Explores, verifies, refines in a loop
Scans saturate immediately
Why does this break a naive engine?
It breaks because the cost is per document. A regex filter over a collection reads and tests every row, and a person's occasional query can absorb that. An agent's burst of concurrent regex filters cannot absorb it, because the scans compete to read the same body of text and throughput stops growing almost as soon as concurrency does. The same thing happens in why RAG fails for agents, where agent workloads take a mechanism built for one human query at a time and run it many times in parallel, which exposes costs a person never notices. Why regex in particular scales this way is covered in why is regex search slow at scale.
What does the engine have to do about it?
It has to use the literals. The useful observation in TopK's design is that agent regexes contain many literals, and even a pattern with optional sections or alternatives says that certain characters must occur. An index over those characters turns each regex into a boolean expression over required n-grams, generates a small candidate set, and runs the exact regex only on the candidates. The agent keeps the interface it prefers, and the engine keeps the work small. How the index is built is in how do you index text for regex search.
How much does it matter?
It decides whether agent search is viable at all. On TopK's cluster measurement at concurrency sixteen, the sparse-gram path delivered 55.3 times the throughput and 61 times lower average latency of a full scan. Indexed throughput also grew almost thirteen times from concurrency one to sixteen, and throughput on the scan path barely moved over the same range (August 2026). Agents run at those concurrency levels.
TopK's regex filter plans through the index automatically.
from topk_sdk.query import select, field# Whatever literals the agent's pattern contains become the candidate plan.docs = client.collection("docs").query(select("text").filter(field("text").regexp_match("(?i)nobel prize")).limit(50))
The fast regex search post has the full design, and the query documentation covers the filter syntax.