perf(feed): relevance ranks the newest 2000 matches, the rest follow newest first

A broad word matched most of the library and ts_rank read every match:
"a" took 4.4 s a page on prod. The window's start is read once (0.1 s) and
rides the cursor, so a video ingested mid-scroll cannot repeat a row; the
page is read as its two halves, each on an index (80 ms + 5 ms).

backend/app/routes/feed.py

@@ -19,8 +19,11 @@ from app.feedquery import (
     filtered_query,
     keyset_predicate,
     order_by,
+    rank_window_start,
     serialize,
     sort_keys,
+    windowed_rank,
+    windowed_relevance_rows,
 )
 from app.models import (
     POSITION_MAX_S,
@@ -109,30 +112,45 @@ def get_feed(
     db: Session = Depends(get_db),
 ) -> dict:
     query, rank_expr = filtered_query(db, user, **params)
-    keys = sort_keys(sort, seed, rank_expr, lang_for_user(user))
-
-    # Expose each key column on the row so we can build the next cursor from the last item.
-    query = query.add_columns(*[k["expr"].label(f"_k{i}") for i, k in enumerate(keys)])
-    query = query.order_by(*order_by(keys))
+    lang = lang_for_user(user)
+    keys = sort_keys(sort, seed, rank_expr, lang)
 
+    vals, cursor_id, window = None, None, None
     if cursor:
         # The read-model raises a plain ValueError on a malformed cursor; translate it to the
         # HTTP 400 here so feedquery stays web-framework-free.
         try:
-            vals, cursor_id = decode_cursor(keys, cursor)
+            vals, cursor_id, window = decode_cursor(keys, cursor)
         except ValueError:
             # `from None`: the ValueError is an expected bad-input signal, not an error to chain.
             raise refused(400, "invalid_cursor") from None
+    ranked = sort == "relevance" and rank_expr is not None
+    if ranked and not cursor:
+        window = rank_window_start(db, query)
+    if ranked and window is not None:
+        keys = sort_keys(sort, seed, windowed_rank(rank_expr, window), lang)
+
+    # Expose each key column on the row so we can build the next cursor from the last item.
+    query = query.add_columns(*[k["expr"].label(f"_k{i}") for i, k in enumerate(keys)])
+    if vals is not None:
         for k, v in zip(keys, vals):
             k["value"] = v
-        query = query.where(keyset_predicate(keys, cursor_id))
-
-    rows = db.execute(query.limit(limit + 1)).all()
+    if ranked and window is not None:
+        rows = windowed_relevance_rows(db, query, keys, window, cursor_id, limit + 1)
+    else:
+        query = query.order_by(*order_by(keys))
+        if cursor_id is not None:
+            query = query.where(keyset_predicate(keys, cursor_id))
+        rows = db.execute(query.limit(limit + 1)).all()
     has_more = len(rows) > limit
     page = rows[:limit]
     return {
         "items": [serialize(r) for r in page],
-        "next_cursor": encode_cursor(keys, page[-1]) if (has_more and page) else None,
+        "next_cursor": (
+            encode_cursor(keys, page[-1], window if ranked else None)
+            if (has_more and page)
+            else None
+        ),
         "has_more": has_more,
         "limit": limit,
     }