Order cross-database fusion by retrieval score

Rank interleaving guarantees every database slots regardless of content;
on domain-split collections it allocates no better than chance and costs
4.7pp recall@5 at four collections against score ordering (7.1pp at
eight). Hybrid scores are each database's own vector/FTS rank agreement,
which carries across databases; equal scores resolve by within-database
rank, and only a tie on both falls to configured order, leaving
permutation sensitivity at 0.02-0.26pp. Fused results carry the
candidate's own retrieval score, so the context-expansion re-sort
preserves fused order.

CHANGELOG.md

@@ -9,8 +9,9 @@
 
 ### Fixed
 
-- Cross-database fusion without a reranker breaks rank ties by retrieval
+- Cross-database fusion without a reranker orders the union by retrieval
-  score instead of database declaration order.
+  score, with within-database rank breaking ties, instead of round-robin by
+  database declaration order. Fused results carry the retrieval score.
 
 ## [0.80.0] - 2026-08-31
 

docs/configuration/storage.md

@@ -227,7 +227,7 @@ results = await client.search("query")                     # every database
 results = await client.search("query", sources=["papers"])   # one of them
 ```
 
-Candidates are combined into one ranked list with the configured reranker, or with reciprocal rank fusion when reranking is disabled. `SearchResult.source`, `Citation.source`, and `Document.source` contain the configured database name. The name is retained when a client covers only one named database. Databases configured through `lancedb.uri` are unnamed, so their `source` is `None`.
+Candidates are combined into one ranked list with the configured reranker, or by retrieval score when reranking is disabled, with within-database rank breaking score ties. `SearchResult.source`, `Citation.source`, and `Document.source` contain the configured database name. The name is retained when a client covers only one named database. Databases configured through `lancedb.uri` are unnamed, so their `source` is `None`.
 
 The CLI labels results and citations only when the operation spans multiple databases. A command already narrowed with `--db-name` does not repeat the name on every result.
 

haiku_rag_slim/haiku/rag/client/search.py

@@ -154,16 +154,16 @@ async def _fuse(
 
     A configured reranker scores the union directly, which is what makes ranking
     across databases tractable: it compares query against document and does not
-    care where a candidate came from. Without one, reciprocal rank fusion over the
+    care where a candidate came from. Without one, the union is ordered by the
-    per-database rankings, since scores from separate indexes are not comparable.
+    raw retrieval score. Scores from separate indexes are not calibrated, but a
-    The corpora are disjoint, so every database's rank-r candidate carries the
+    hybrid score is each database's own rank agreement (lancedb fuses vector and
-    same RRF score; those ties break on the raw retrieval score, which is not
+    FTS with RRF inside the database), which carries across databases; rank
-    calibrated across indexes but only ever orders candidates within one rank
+    interleaving instead guarantees every database slots regardless of content,
-    and never lifts a candidate above another rank. A hybrid score is itself
+    which on domain-split collections allocates no better than chance. Equal
-    rank-derived (each database fuses its own vector and FTS rankings with
+    scores resolve by within-database rank — the candidate nothing in its own
-    lancedb's RRFReranker), so there the tiebreak compares rank agreement, not
+    database beat wins — and only a tie on both falls to configured order. The
-    relevance magnitude, and databases agreeing exactly still tie, resolving
+    returned score is the candidate's own, so downstream re-sorts (context
-    deterministically to configured order.
+    expansion) preserve this order.
     """
     owned = [
         (client, chunk, score)
@@ -203,8 +203,8 @@ async def _fuse(
     for client, candidates in zip(clients, per_source, strict=True):
         for rank, (chunk, score) in enumerate(candidates):
             scored.append((1.0 / (_RRF_K + rank + 1), score, client, chunk))
-    scored.sort(key=lambda item: (item[0], item[1]), reverse=True)
+    scored.sort(key=lambda item: (item[1], item[0]), reverse=True)
-    return [(client, chunk, fused) for fused, _, client, chunk in scored[:limit]]
+    return [(client, chunk, score) for _, score, client, chunk in scored[:limit]]
 
 
 # Reciprocal rank fusion's smoothing constant, the value the literature uses.

tests/multi_db/test_search.py

@@ -473,9 +473,10 @@ class TestNarrowingToOneDatabase:
         assert results == []
 
 
-class TestReciprocalRankFusion:
+class TestFusionWithoutAReranker:
-    """Without a reranker, scores from separate indexes are not comparable, so
+    """Without a reranker, the union is ordered by retrieval score; score ties
-    fusion ranks by position. These pin what that produces."""
+    resolve by within-database rank, and only a tie on both falls to configured
+    order. These pin what that produces."""
 
     @staticmethod
     def _ranked(source: str, count: int, top: float) -> list[tuple[Chunk, float]]:
@@ -502,38 +503,46 @@ class TestReciprocalRankFusion:
         return [(owner.source, chunk.id, score) for owner, chunk, score in fused]
 
     @pytest.mark.asyncio
-    async def test_databases_interleave_by_rank(self, tmp_path):
+    async def test_the_score_orders_the_union(self, tmp_path):
-        """Each contributes its rank-1 before either contributes its rank-2."""
+        """A stronger database takes consecutive slots; breadth is not
+        guaranteed."""
         fused = await self._fuse_over(tmp_path, self._lopsided(3), 10)
 
         assert [(source, cid) for source, cid, _ in fused] == [
             ("alpha", "a0"),
-            ("beta", "b0"),
             ("alpha", "a1"),
-            ("beta", "b1"),
             ("alpha", "a2"),
+            ("beta", "b0"),
+            ("beta", "b1"),
             ("beta", "b2"),
         ]
 
     @pytest.mark.asyncio
-    async def test_the_score_is_the_reciprocal_of_the_rank(self, tmp_path):
+    async def test_the_score_is_the_retrieval_score(self, tmp_path):
+        """The fused score is the candidate's own, so re-sorting downstream
+        (context expansion) preserves the fused order."""
         fused = await self._fuse_over(tmp_path, self._lopsided(2), 10)
 
-        assert [score for _, _, score in fused] == [
+        assert [score for _, _, score in fused] == [0.9, 0.89, 0.2, 0.19]
-            1 / 61,
-            1 / 61,
-            1 / 62,
-            1 / 62,
-        ]
 
     @pytest.mark.asyncio
-    async def test_ranks_tie_and_the_retrieval_score_breaks_them(self, tmp_path):
+    async def test_score_ties_break_by_rank_within_the_database(self, tmp_path):
-        """Every rank ties across databases, so the tiebreak decides all of it,
+        """Equal scores can sit at different ranks: rank depends on what the
-        and it must be relevance, not the order databases were configured in."""
+        rest of a database scored. The candidate nothing in its own database
-        per_source = [self._ranked("a", 2, 0.2), self._ranked("b", 2, 0.9)]
+        beat wins the tie."""
+        per_source = [
+            [
+                (Chunk(id="a0", content="a 0"), 0.9),
+                (Chunk(id="a1", content="a 1"), 0.5),
+            ],
+            [
+                (Chunk(id="b0", content="b 0"), 0.5),
+                (Chunk(id="b1", content="b 1"), 0.3),
+            ],
+        ]
         fused = await self._fuse_over(tmp_path, per_source, 10)
 
-        assert [source for source, _, _ in fused] == ["beta", "alpha", "beta", "alpha"]
+        assert [cid for _, cid, _ in fused] == ["a0", "b0", "a1", "b1"]
 
     @pytest.mark.asyncio
     async def test_the_configured_order_does_not_matter(self, tmp_path):
@@ -561,12 +570,12 @@ class TestReciprocalRankFusion:
         assert [source for source, _, _ in fused] == ["alpha", "beta", "alpha", "beta"]
 
     @pytest.mark.asyncio
-    async def test_the_retrieval_score_never_overrides_the_rank(self, tmp_path):
+    async def test_rank_never_overrides_the_score(self, tmp_path):
-        """Raw scores are not calibrated across indexes, so a database with
+        """A database's rank-2 with a higher score precedes another's rank-0:
-        inflated scores still contributes one candidate per rank."""
+        allocation is content-driven, not round-robin."""
         fused = await self._fuse_over(tmp_path, self._lopsided(2), 10)
 
-        assert [cid for _, cid, _ in fused] == ["a0", "b0", "a1", "b1"]
+        assert [cid for _, cid, _ in fused] == ["a0", "a1", "b0", "b1"]
 
     @pytest.mark.asyncio
     async def test_the_limit_cuts_the_fused_list(self, tmp_path):
@@ -575,8 +584,8 @@ class TestReciprocalRankFusion:
 
         assert [(source, cid) for source, cid, _ in fused] == [
             ("alpha", "a0"),
-            ("beta", "b0"),
             ("alpha", "a1"),
+            ("alpha", "a2"),
         ]