Improve indices for common queries

sql/schema.sql

@@ -160,6 +160,15 @@ begin
     'r_' || p_queue_name
   );
 
+  -- Partial index for claim candidate ORDER BY (available_at, run_id).
+  -- Matches the exact ordering used in the claim query for ready runs.
+  execute format(
+    'create index if not exists %I on durable.%I (available_at, run_id) include (task_id)
+     where state in (''pending'', ''sleeping'')',
+    ('r_' || p_queue_name) || '_ready',
+    'r_' || p_queue_name
+  );
+
   execute format(
     'create index if not exists %I on durable.%I (task_id)',
     ('r_' || p_queue_name) || '_ti',
@@ -172,12 +181,46 @@ begin
     'w_' || p_queue_name
   );
 
+  -- Speed up cleanup_task_terminal wait deletion by task_id.
+  execute format(
+    'create index if not exists %I on durable.%I (task_id)',
+    ('w_' || p_queue_name) || '_ti',
+    'w_' || p_queue_name
+  );
+
   -- Index for finding children of a parent task (for cascade cancellation)
   execute format(
     'create index if not exists %I on durable.%I (parent_task_id) where parent_task_id is not null',
     ('t_' || p_queue_name) || '_pti',
     't_' || p_queue_name
   );
+
+  -- Speed up claim timeout scans.
+  execute format(
+    'create index if not exists %I on durable.%I (claim_expires_at)
+     where state = ''running'' and claim_expires_at is not null',
+    ('r_' || p_queue_name) || '_cei',
+    'r_' || p_queue_name
+  );
+
+  -- Speed up cancellation sweep: only index tasks that have cancellation policies.
+  execute format(
+    'create index if not exists %I on durable.%I (task_id)
+     where state in (''pending'', ''sleeping'', ''running'')
+       and cancellation is not null
+       and (cancellation ? ''max_delay'' or cancellation ? ''max_duration'')',
+    ('t_' || p_queue_name) || '_cxlpol',
+    't_' || p_queue_name
+  );
+
+  -- Composite index for active task state lookups.
+  -- Enables Index Only Scans for claim_task join, emit_event, and cancel propagation.
+  execute format(
+    'create index if not exists %I on durable.%I (state, task_id)
+     where state in (''pending'', ''sleeping'', ''running'', ''cancelled'')',
+    ('t_' || p_queue_name) || '_state_tid',
+    't_' || p_queue_name
+  );
 end;
 $$;
 
@@ -346,6 +389,7 @@ begin
   -- These are max_delay (delay before starting) and
   -- max_duration (duration from created to finished)
   -- Use a loop so we can cleanup each cancelled task properly.
+  -- Only scan tasks that actually have cancellation policies set.
   for v_cancelled_task in
     execute format(
       'with limits as (
@@ -357,6 +401,8 @@ begin
                  state
             from durable.%I
           where state in (''pending'', ''sleeping'', ''running'')
+            and cancellation is not null
+            and (cancellation ? ''max_delay'' or cancellation ? ''max_duration'')
        ),
        to_cancel as (
           select task_id