test: lowering-boundary pins for Both + undirected under degraded coverage

Closes two coverage gaps from review of my own test surface: (1) the
lowering boundary — undirected lowers to Expand{direction: Both} both
top-level and inside not{} (the discarded-context-clone regression is
now pinned at the layer it lives at, not only end-to-end); (2) the
review-fix path — undirected both_modes equivalence with a
mutation-appended unindexed fragment degrading BTREE coverage, so
results stay correct and mode-equivalent whichever path the pessimistic
coverage pricing picks.

crates/omnigraph-compiler/src/ir/lower_tests.rs

@@ -39,6 +39,63 @@ return { $f.name, $f.age }
     assert_eq!(ir.return_exprs.len(), 2);
 }
 
+#[test]
+fn test_lower_undirected_traversal_to_direction_both() {
+    let catalog = setup();
+    let qf = parse_query(
+        r#"
+query q($name: String) {
+match {
+    $p: Person { name: $name }
+    $p <knows> $f
+}
+return { $f.name }
+}
+"#,
+    )
+    .unwrap();
+    let tc = typecheck_query(&catalog, &qf.queries[0]).unwrap();
+    let ir = lower_query(&catalog, &qf.queries[0], &tc).unwrap();
+    match &ir.pipeline[1] {
+        IROp::Expand { direction, .. } => assert_eq!(*direction, Direction::Both),
+        op => panic!("expected Expand, got {op:?}"),
+    }
+}
+
+// The discarded-context-clone regression: negation inners are typechecked into
+// a clone that never reaches lowering's ResolvedTraversal lookup, so direction
+// used to silently fall back to Out inside not{}. Undirectedness now travels
+// on the AST node; this pins Both surviving into the AntiJoin's inner Expand.
+#[test]
+fn test_lower_undirected_inside_negation_keeps_direction_both() {
+    let catalog = setup();
+    let qf = parse_query(
+        r#"
+query q() {
+match {
+    $p: Person
+    not { $p <knows> $_ }
+}
+return { $p.name }
+}
+"#,
+    )
+    .unwrap();
+    let tc = typecheck_query(&catalog, &qf.queries[0]).unwrap();
+    let ir = lower_query(&catalog, &qf.queries[0], &tc).unwrap();
+    let IROp::AntiJoin { inner, .. } = &ir.pipeline[1] else {
+        panic!("expected AntiJoin, got {:?}", ir.pipeline[1]);
+    };
+    match &inner[0] {
+        IROp::Expand { direction, .. } => assert_eq!(
+            *direction,
+            Direction::Both,
+            "negation inner must not fall back to Out"
+        ),
+        op => panic!("expected inner Expand, got {op:?}"),
+    }
+}
+
 #[test]
 fn test_lower_negation() {
     let catalog = setup();

crates/omnigraph/tests/traversal_indexed.rs

@@ -141,6 +141,42 @@ query connected($name: String) {
     assert_eq!(got, vec!["Alice", "Diana"], "out ∪ in neighbors of Bob");
 }
 
+/// The undirected cost fix (review follow-up): coverage is priced by the
+/// WORST of the two probed columns. This test degrades coverage via a
+/// mutation-appended unindexed fragment and asserts undirected results stay
+/// correct and mode-equivalent regardless of which path the cost model picks.
+#[tokio::test]
+async fn indexed_matches_csr_undirected_under_degraded_coverage() {
+    let dir = tempfile::tempdir().unwrap();
+    let mut db = init_and_load(&dir).await;
+
+    // Append an edge through the mutation path — an unindexed fragment that
+    // degrades BTREE coverage on the Knows table (pinned by the coverage test
+    // above). Diana->Alice also gives Alice a NEW incoming edge that only the
+    // undirected form can see from Alice's side.
+    mutate_main(
+        &mut db,
+        MUTATION_QUERIES,
+        "add_friend",
+        &params(&[("$from", "Diana"), ("$to", "Alice")]),
+    )
+    .await
+    .unwrap();
+
+    let queries = r#"
+query connected($name: String) {
+    match {
+        $p: Person { name: $name }
+        $p <knows> $f
+    }
+    return { $f.name }
+}
+"#;
+    // Alice: outgoing Bob, Charlie; incoming Diana (the fresh unindexed edge).
+    let got = both_modes(&mut db, queries, "connected", &params(&[("$name", "Alice")])).await;
+    assert_eq!(got, vec!["Bob", "Charlie", "Diana"]);
+}
+
 #[tokio::test]
 async fn indexed_matches_csr_multi_hop_same_type() {
     let dir = tempfile::tempdir().unwrap();