diff --git a/CHANGELOG.md b/CHANGELOG.md
index f27c005..6753a7d 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -1,6 +1,6 @@
 ## 0.8.0 (unreleased)
 
-- Added support for iterative search
+- Added support for iterative index scans
 - Added casts for arrays to `sparsevec`
 - Improved cost estimation
 - Improved performance of HNSW inserts and on-disk index builds
diff --git a/README.md b/README.md
index db87d74..8150348 100644
--- a/README.md
+++ b/README.md
@@ -451,31 +451,31 @@ Use [partitioning](https://www.postgresql.org/docs/current/ddl-partitioning.html
 CREATE TABLE items (embedding vector(3), category_id int) PARTITION BY LIST(category_id);
 ```
 
-## Iterative Search
+## Iterative Index Scans
 
 *Unreleased*
 
 With approximate indexes, queries with filtering can return less results (due to post-filtering).
 
-Starting with 0.8.0, you can enable iterative search. If too few results from the initial index scan match the filters, the scan will resume until enough results are found (or it reaches `hnsw.max_search_tuples` or `ivfflat.max_probes`). This can significantly improve recall.
+Starting with 0.8.0, you can enable iterative index scans. If too few results from the initial scan match the filters, the scan will resume until enough results are found (or it reaches `hnsw.max_scan_tuples` or `ivfflat.max_probes`). This can significantly improve recall.
 
-There are two modes for iterative search: strict and relaxed (due to the streaming nature of Postgres executor).
+There are two modes for iterative scans: strict and relaxed.
 
 Strict ensures results are in the exact order by distance
 
 ```sql
-SET hnsw.iterative_search = strict_order;
+SET hnsw.iterative_scan = strict_order;
 ```
 
 Relaxed allows results to be slightly out of order by distance, but provides better recall
 
 ```sql
-SET hnsw.iterative_search = relaxed_order;
+SET hnsw.iterative_scan = relaxed_order;
 # or
-SET ivfflat.iterative_search = relaxed_order;
+SET ivfflat.iterative_scan = relaxed_order;
 ```
 
-Note: IVFFlat only supports relaxed order for iterative search
+Note: IVFFlat only supports relaxed ordering for iterative scans
 
 With relaxed ordering, you can use a [materialized CTE](https://www.postgresql.org/docs/current/queries-with.html#QUERIES-WITH-CTE-MATERIALIZATION) to get strict ordering
 
@@ -493,16 +493,16 @@ WITH filtered_results AS MATERIALIZED (
 ) SELECT * FROM filtered_results WHERE distance < 0.1 ORDER BY distance;
 ```
 
-### Iterative Options
+### Iterative Scan Options
 
 Since scanning a large portion of an approximate index is expensive, there are options to control when a scan ends
 
 #### HNSW
 
-Specify the max number of tuples visited (20,000 by default)
+Specify the max number of tuples to visit (20,000 by default)
 
 ```sql
-SET hnsw.max_search_tuples = 20000;
+SET hnsw.max_scan_tuples = 20000;
 ```
 
 Note: This is approximate and does not apply to the initial scan
@@ -510,7 +510,7 @@ Note: This is approximate and does not apply to the initial scan
 When increasing this, you may also need to increase the max amount of memory an iterative scan can use, which is a multiple of `work_mem` (2 by default)
 
 ```sql
-SET hnsw.search_mem_multiplier = 4;
+SET hnsw.scan_mem_multiplier = 4;
 ```
 
 You can see when this is needed by enabling debug messages
@@ -523,7 +523,7 @@ which will show when a scan reaches the memory limit
 
 ```text
 DEBUG:  hnsw index scan reached memory limit after 40000 tuples
-HINT:  Increase hnsw.search_mem_multiplier to scan more tuples.
+HINT:  Increase hnsw.scan_mem_multiplier to scan more tuples.
 ```
 
 #### IVFFlat
diff --git a/src/hnsw.c b/src/hnsw.c
index 11bd507..2451994 100644
--- a/src/hnsw.c
+++ b/src/hnsw.c
@@ -18,17 +18,17 @@
 #define MarkGUCPrefixReserved(x) EmitWarningsOnPlaceholders(x)
 #endif
 
-static const struct config_enum_entry hnsw_iterative_search_options[] = {
-	{"off", HNSW_ITERATIVE_SEARCH_OFF, false},
-	{"relaxed_order", HNSW_ITERATIVE_SEARCH_RELAXED, false},
-	{"strict_order", HNSW_ITERATIVE_SEARCH_STRICT, false},
+static const struct config_enum_entry hnsw_iterative_scan_options[] = {
+	{"off", HNSW_ITERATIVE_SCAN_OFF, false},
+	{"relaxed_order", HNSW_ITERATIVE_SCAN_RELAXED, false},
+	{"strict_order", HNSW_ITERATIVE_SCAN_STRICT, false},
 	{NULL, 0, false}
 };
 
 int			hnsw_ef_search;
-int			hnsw_iterative_search;
-int			hnsw_max_search_tuples;
-double		hnsw_search_mem_multiplier;
+int			hnsw_iterative_scan;
+int			hnsw_max_scan_tuples;
+double		hnsw_scan_mem_multiplier;
 int			hnsw_lock_tranche_id;
 static relopt_kind hnsw_relopt_kind;
 
@@ -79,18 +79,18 @@ HnswInit(void)
 							"Valid range is 1..1000.", &hnsw_ef_search,
 							HNSW_DEFAULT_EF_SEARCH, HNSW_MIN_EF_SEARCH, HNSW_MAX_EF_SEARCH, PGC_USERSET, 0, NULL, NULL, NULL);
 
-	DefineCustomEnumVariable("hnsw.iterative_search", "Sets the iterative search mode",
-							 NULL, &hnsw_iterative_search,
-							 HNSW_ITERATIVE_SEARCH_OFF, hnsw_iterative_search_options, PGC_USERSET, 0, NULL, NULL, NULL);
+	DefineCustomEnumVariable("hnsw.iterative_scan", "Sets the mode for iterative scans",
+							 NULL, &hnsw_iterative_scan,
+							 HNSW_ITERATIVE_SCAN_OFF, hnsw_iterative_scan_options, PGC_USERSET, 0, NULL, NULL, NULL);
 
 	/* This is approximate and does not apply to the initial scan */
-	DefineCustomIntVariable("hnsw.max_search_tuples", "Sets the max number of candidates to visit for iterative search",
-							NULL, &hnsw_max_search_tuples,
+	DefineCustomIntVariable("hnsw.max_scan_tuples", "Sets the max number of tuples to visit for iterative scans",
+							NULL, &hnsw_max_scan_tuples,
 							20000, 1, INT_MAX, PGC_USERSET, 0, NULL, NULL, NULL);
 
 	/* Same range and default as hash_mem_multiplier */
-	DefineCustomRealVariable("hnsw.search_mem_multiplier", "Sets the multiple of work_mem to use for iterative search",
-							 NULL, &hnsw_search_mem_multiplier,
+	DefineCustomRealVariable("hnsw.scan_mem_multiplier", "Sets the multiple of work_mem to use for iterative scans",
+							 NULL, &hnsw_scan_mem_multiplier,
 							 2, 1, 1000, PGC_USERSET, 0, NULL, NULL, NULL);
 
 	MarkGUCPrefixReserved("hnsw");
diff --git a/src/hnsw.h b/src/hnsw.h
index a224a6e..1fb0c24 100644
--- a/src/hnsw.h
+++ b/src/hnsw.h
@@ -109,17 +109,17 @@
 
 /* Variables */
 extern int	hnsw_ef_search;
-extern int	hnsw_iterative_search;
-extern int	hnsw_max_search_tuples;
-extern double hnsw_search_mem_multiplier;
+extern int	hnsw_iterative_scan;
+extern int	hnsw_max_scan_tuples;
+extern double hnsw_scan_mem_multiplier;
 extern int	hnsw_lock_tranche_id;
 
-typedef enum HnswIterativeSearchMode
+typedef enum HnswIterativeScanMode
 {
-	HNSW_ITERATIVE_SEARCH_OFF,
-	HNSW_ITERATIVE_SEARCH_RELAXED,
-	HNSW_ITERATIVE_SEARCH_STRICT
-}			HnswIterativeSearchMode;
+	HNSW_ITERATIVE_SCAN_OFF,
+	HNSW_ITERATIVE_SCAN_RELAXED,
+	HNSW_ITERATIVE_SCAN_STRICT
+}			HnswIterativeScanMode;
 
 typedef struct HnswElementData HnswElementData;
 typedef struct HnswNeighborArray HnswNeighborArray;
diff --git a/src/hnswscan.c b/src/hnswscan.c
index 6ed8af5..0994d2b 100644
--- a/src/hnswscan.c
+++ b/src/hnswscan.c
@@ -41,7 +41,7 @@ GetScanItems(IndexScanDesc scan, Datum value)
 		ep = w;
 	}
 
-	return HnswSearchLayer(base, q, ep, hnsw_ef_search, 0, index, support, m, false, NULL, &so->v, hnsw_iterative_search != HNSW_ITERATIVE_SEARCH_OFF ? &so->discarded : NULL, true, &so->tuples);
+	return HnswSearchLayer(base, q, ep, hnsw_ef_search, 0, index, support, m, false, NULL, &so->v, hnsw_iterative_scan != HNSW_ITERATIVE_SCAN_OFF ? &so->discarded : NULL, true, &so->tuples);
 }
 
 /*
@@ -138,7 +138,7 @@ hnswbeginscan(Relation index, int nkeys, int norderbys)
 	/* Set support functions */
 	HnswInitSupport(&so->support, index);
 
-	so->maxMemory = (Size) (work_mem * 1024.0 * hnsw_search_mem_multiplier);
+	so->maxMemory = (Size) (work_mem * 1024.0 * hnsw_scan_mem_multiplier);
 
 	scan->opaque = so;
 
@@ -229,7 +229,7 @@ hnswgettuple(IndexScanDesc scan, ScanDirection dir)
 
 		if (list_length(so->w) == 0)
 		{
-			if (hnsw_iterative_search == HNSW_ITERATIVE_SEARCH_OFF)
+			if (hnsw_iterative_scan == HNSW_ITERATIVE_SCAN_OFF)
 				break;
 
 			/* Empty index */
@@ -237,7 +237,7 @@ hnswgettuple(IndexScanDesc scan, ScanDirection dir)
 				break;
 
 			/* Reached max number of tuples */
-			if (so->tuples >= hnsw_max_search_tuples)
+			if (so->tuples >= hnsw_max_scan_tuples)
 			{
 				if (pairingheap_is_empty(so->discarded))
 					break;
@@ -252,7 +252,7 @@ hnswgettuple(IndexScanDesc scan, ScanDirection dir)
 				{
 					ereport(DEBUG1,
 							(errmsg("hnsw index scan reached memory limit after " INT64_FORMAT " tuples", so->tuples),
-							 errhint("Increase hnsw.search_mem_multiplier to scan more tuples.")));
+							 errhint("Increase hnsw.scan_mem_multiplier to scan more tuples.")));
 
 					break;
 				}
@@ -295,7 +295,7 @@ hnswgettuple(IndexScanDesc scan, ScanDirection dir)
 			so->w = list_delete_last(so->w);
 
 			/* Mark memory as free for next iteration */
-			if (hnsw_iterative_search != HNSW_ITERATIVE_SEARCH_OFF)
+			if (hnsw_iterative_scan != HNSW_ITERATIVE_SCAN_OFF)
 			{
 				pfree(element);
 				pfree(sc);
@@ -306,7 +306,7 @@ hnswgettuple(IndexScanDesc scan, ScanDirection dir)
 
 		heaptid = &element->heaptids[--element->heaptidsLength];
 
-		if (hnsw_iterative_search == HNSW_ITERATIVE_SEARCH_STRICT)
+		if (hnsw_iterative_scan == HNSW_ITERATIVE_SCAN_STRICT)
 		{
 			if (sc->distance < so->previousDistance)
 				continue;
diff --git a/src/ivfflat.c b/src/ivfflat.c
index 3910c07..9e8370f 100644
--- a/src/ivfflat.c
+++ b/src/ivfflat.c
@@ -17,13 +17,13 @@
 #endif
 
 int			ivfflat_probes;
-int			ivfflat_iterative_search;
+int			ivfflat_iterative_scan;
 int			ivfflat_max_probes;
 static relopt_kind ivfflat_relopt_kind;
 
-static const struct config_enum_entry ivfflat_iterative_search_options[] = {
-	{"off", IVFFLAT_ITERATIVE_SEARCH_OFF, false},
-	{"relaxed_order", IVFFLAT_ITERATIVE_SEARCH_RELAXED, false},
+static const struct config_enum_entry ivfflat_iterative_scan_options[] = {
+	{"off", IVFFLAT_ITERATIVE_SCAN_OFF, false},
+	{"relaxed_order", IVFFLAT_ITERATIVE_SCAN_RELAXED, false},
 	{NULL, 0, false}
 };
 
@@ -41,12 +41,12 @@ IvfflatInit(void)
 							"Valid range is 1..lists.", &ivfflat_probes,
 							IVFFLAT_DEFAULT_PROBES, IVFFLAT_MIN_LISTS, IVFFLAT_MAX_LISTS, PGC_USERSET, 0, NULL, NULL, NULL);
 
-	DefineCustomEnumVariable("ivfflat.iterative_search", "Sets the iterative search mode",
-							 NULL, &ivfflat_iterative_search,
-							 IVFFLAT_ITERATIVE_SEARCH_OFF, ivfflat_iterative_search_options, PGC_USERSET, 0, NULL, NULL, NULL);
+	DefineCustomEnumVariable("ivfflat.iterative_scan", "Sets the mode for iterative scans",
+							 NULL, &ivfflat_iterative_scan,
+							 IVFFLAT_ITERATIVE_SCAN_OFF, ivfflat_iterative_scan_options, PGC_USERSET, 0, NULL, NULL, NULL);
 
 	/* If this is less than probes, probes is used */
-	DefineCustomIntVariable("ivfflat.max_probes", "Sets the max number of probes for iterative search",
+	DefineCustomIntVariable("ivfflat.max_probes", "Sets the max number of probes for iterative scans",
 							NULL, &ivfflat_max_probes,
 							IVFFLAT_MAX_LISTS, IVFFLAT_MIN_LISTS, IVFFLAT_MAX_LISTS, PGC_USERSET, 0, NULL, NULL, NULL);
 
diff --git a/src/ivfflat.h b/src/ivfflat.h
index 91753c8..c296b66 100644
--- a/src/ivfflat.h
+++ b/src/ivfflat.h
@@ -80,14 +80,14 @@
 
 /* Variables */
 extern int	ivfflat_probes;
-extern int	ivfflat_iterative_search;
+extern int	ivfflat_iterative_scan;
 extern int	ivfflat_max_probes;
 
-typedef enum IvfflatIterativeSearchMode
+typedef enum IvfflatIterativeScanMode
 {
-	IVFFLAT_ITERATIVE_SEARCH_OFF,
-	IVFFLAT_ITERATIVE_SEARCH_RELAXED
-}			IvfflatIterativeSearchMode;
+	IVFFLAT_ITERATIVE_SCAN_OFF,
+	IVFFLAT_ITERATIVE_SCAN_RELAXED
+}			IvfflatIterativeScanMode;
 
 typedef struct VectorArrayData
 {
diff --git a/src/ivfscan.c b/src/ivfscan.c
index af232d3..eafb643 100644
--- a/src/ivfscan.c
+++ b/src/ivfscan.c
@@ -171,7 +171,7 @@ GetScanItems(IndexScanDesc scan, Datum value)
 		}
 	}
 
-	if (tuples < 100 && ivfflat_iterative_search == IVFFLAT_ITERATIVE_SEARCH_OFF)
+	if (tuples < 100 && ivfflat_iterative_scan == IVFFLAT_ITERATIVE_SCAN_OFF)
 		ereport(DEBUG1,
 				(errmsg("index scan found few tuples"),
 				 errdetail("Index may have been created with little data."),
@@ -263,7 +263,7 @@ ivfflatbeginscan(Relation index, int nkeys, int norderbys)
 	/* Get lists and dimensions from metapage */
 	IvfflatGetMetaPageInfo(index, &lists, &dimensions);
 
-	if (ivfflat_iterative_search != IVFFLAT_ITERATIVE_SEARCH_OFF)
+	if (ivfflat_iterative_scan != IVFFLAT_ITERATIVE_SCAN_OFF)
 		maxProbes = Max(ivfflat_max_probes, probes);
 	else
 		maxProbes = probes;
diff --git a/test/expected/hnsw_vector.out b/test/expected/hnsw_vector.out
index 134292b..8de76b6 100644
--- a/test/expected/hnsw_vector.out
+++ b/test/expected/hnsw_vector.out
@@ -104,7 +104,7 @@ DROP TABLE t;
 CREATE TABLE t (val vector(3));
 INSERT INTO t (val) VALUES ('[0,0,0]'), ('[1,2,3]'), ('[1,1,1]'), (NULL);
 CREATE INDEX ON t USING hnsw (val vector_l2_ops);
-SET hnsw.iterative_search = strict_order;
+SET hnsw.iterative_scan = strict_order;
 SET hnsw.ef_search = 1;
 SELECT * FROM t ORDER BY val <-> '[3,3,3]';
    val   
@@ -114,7 +114,7 @@ SELECT * FROM t ORDER BY val <-> '[3,3,3]';
  [0,0,0]
 (3 rows)
 
-SET hnsw.iterative_search = relaxed_order;
+SET hnsw.iterative_scan = relaxed_order;
 SELECT * FROM t ORDER BY val <-> '[3,3,3]';
    val   
 ---------
@@ -123,7 +123,7 @@ SELECT * FROM t ORDER BY val <-> '[3,3,3]';
  [0,0,0]
 (3 rows)
 
-RESET hnsw.iterative_search;
+RESET hnsw.iterative_scan;
 RESET hnsw.ef_search;
 DROP TABLE t;
 -- unlogged
@@ -165,21 +165,21 @@ SET hnsw.ef_search = 0;
 ERROR:  0 is outside the valid range for parameter "hnsw.ef_search" (1 .. 1000)
 SET hnsw.ef_search = 1001;
 ERROR:  1001 is outside the valid range for parameter "hnsw.ef_search" (1 .. 1000)
-SHOW hnsw.iterative_search;
- hnsw.iterative_search 
------------------------
+SHOW hnsw.iterative_scan;
+ hnsw.iterative_scan 
+---------------------
  off
 (1 row)
 
-SET hnsw.iterative_search = on;
-ERROR:  invalid value for parameter "hnsw.iterative_search": "on"
+SET hnsw.iterative_scan = on;
+ERROR:  invalid value for parameter "hnsw.iterative_scan": "on"
 HINT:  Available values: off, relaxed_order, strict_order.
-SHOW hnsw.max_search_tuples;
- hnsw.max_search_tuples 
-------------------------
+SHOW hnsw.max_scan_tuples;
+ hnsw.max_scan_tuples 
+----------------------
  20000
 (1 row)
 
-SET hnsw.max_search_tuples = 0;
-ERROR:  0 is outside the valid range for parameter "hnsw.max_search_tuples" (1 .. 2147483647)
+SET hnsw.max_scan_tuples = 0;
+ERROR:  0 is outside the valid range for parameter "hnsw.max_scan_tuples" (1 .. 2147483647)
 DROP TABLE t;
diff --git a/test/expected/ivfflat_vector.out b/test/expected/ivfflat_vector.out
index 729eb58..5a6bc75 100644
--- a/test/expected/ivfflat_vector.out
+++ b/test/expected/ivfflat_vector.out
@@ -86,7 +86,7 @@ DROP TABLE t;
 CREATE TABLE t (val vector(3));
 INSERT INTO t (val) VALUES ('[0,0,0]'), ('[1,2,3]'), ('[1,1,1]'), (NULL);
 CREATE INDEX ON t USING ivfflat (val vector_l2_ops) WITH (lists = 3);
-SET ivfflat.iterative_search = relaxed_order;
+SET ivfflat.iterative_scan = relaxed_order;
 SELECT * FROM t ORDER BY val <-> '[3,3,3]';
    val   
 ---------
@@ -110,7 +110,7 @@ SELECT * FROM t ORDER BY val <-> '[3,3,3]';
  [1,1,1]
 (2 rows)
 
-RESET ivfflat.iterative_search;
+RESET ivfflat.iterative_scan;
 RESET ivfflat.max_probes;
 DROP TABLE t;
 -- unlogged
@@ -144,14 +144,14 @@ SET ivfflat.probes = 0;
 ERROR:  0 is outside the valid range for parameter "ivfflat.probes" (1 .. 32768)
 SET ivfflat.probes = 32769;
 ERROR:  32769 is outside the valid range for parameter "ivfflat.probes" (1 .. 32768)
-SHOW ivfflat.iterative_search;
- ivfflat.iterative_search 
---------------------------
+SHOW ivfflat.iterative_scan;
+ ivfflat.iterative_scan 
+------------------------
  off
 (1 row)
 
-SET ivfflat.iterative_search = on;
-ERROR:  invalid value for parameter "ivfflat.iterative_search": "on"
+SET ivfflat.iterative_scan = on;
+ERROR:  invalid value for parameter "ivfflat.iterative_scan": "on"
 HINT:  Available values: off, relaxed_order.
 SHOW ivfflat.max_probes;
  ivfflat.max_probes 
diff --git a/test/sql/hnsw_vector.sql b/test/sql/hnsw_vector.sql
index 3281758..e55d2e5 100644
--- a/test/sql/hnsw_vector.sql
+++ b/test/sql/hnsw_vector.sql
@@ -63,14 +63,14 @@ CREATE TABLE t (val vector(3));
 INSERT INTO t (val) VALUES ('[0,0,0]'), ('[1,2,3]'), ('[1,1,1]'), (NULL);
 CREATE INDEX ON t USING hnsw (val vector_l2_ops);
 
-SET hnsw.iterative_search = strict_order;
+SET hnsw.iterative_scan = strict_order;
 SET hnsw.ef_search = 1;
 SELECT * FROM t ORDER BY val <-> '[3,3,3]';
 
-SET hnsw.iterative_search = relaxed_order;
+SET hnsw.iterative_scan = relaxed_order;
 SELECT * FROM t ORDER BY val <-> '[3,3,3]';
 
-RESET hnsw.iterative_search;
+RESET hnsw.iterative_scan;
 RESET hnsw.ef_search;
 DROP TABLE t;
 
@@ -98,12 +98,12 @@ SHOW hnsw.ef_search;
 SET hnsw.ef_search = 0;
 SET hnsw.ef_search = 1001;
 
-SHOW hnsw.iterative_search;
+SHOW hnsw.iterative_scan;
 
-SET hnsw.iterative_search = on;
+SET hnsw.iterative_scan = on;
 
-SHOW hnsw.max_search_tuples;
+SHOW hnsw.max_scan_tuples;
 
-SET hnsw.max_search_tuples = 0;
+SET hnsw.max_scan_tuples = 0;
 
 DROP TABLE t;
diff --git a/test/sql/ivfflat_vector.sql b/test/sql/ivfflat_vector.sql
index 4c3ac1c..785fc6c 100644
--- a/test/sql/ivfflat_vector.sql
+++ b/test/sql/ivfflat_vector.sql
@@ -50,7 +50,7 @@ CREATE TABLE t (val vector(3));
 INSERT INTO t (val) VALUES ('[0,0,0]'), ('[1,2,3]'), ('[1,1,1]'), (NULL);
 CREATE INDEX ON t USING ivfflat (val vector_l2_ops) WITH (lists = 3);
 
-SET ivfflat.iterative_search = relaxed_order;
+SET ivfflat.iterative_scan = relaxed_order;
 SELECT * FROM t ORDER BY val <-> '[3,3,3]';
 
 SET ivfflat.max_probes = 1;
@@ -59,7 +59,7 @@ SELECT * FROM t ORDER BY val <-> '[3,3,3]';
 SET ivfflat.max_probes = 2;
 SELECT * FROM t ORDER BY val <-> '[3,3,3]';
 
-RESET ivfflat.iterative_search;
+RESET ivfflat.iterative_scan;
 RESET ivfflat.max_probes;
 DROP TABLE t;
 
@@ -84,9 +84,9 @@ SHOW ivfflat.probes;
 SET ivfflat.probes = 0;
 SET ivfflat.probes = 32769;
 
-SHOW ivfflat.iterative_search;
+SHOW ivfflat.iterative_scan;
 
-SET ivfflat.iterative_search = on;
+SET ivfflat.iterative_scan = on;
 
 SHOW ivfflat.max_probes;
 
diff --git a/test/t/041_ivfflat_iterative_search.pl b/test/t/041_ivfflat_iterative_scan.pl
similarity index 93%
rename from test/t/041_ivfflat_iterative_search.pl
rename to test/t/041_ivfflat_iterative_scan.pl
index 6e0f721..7c3dd91 100644
--- a/test/t/041_ivfflat_iterative_search.pl
+++ b/test/t/041_ivfflat_iterative_scan.pl
@@ -23,7 +23,7 @@ $node->safe_psql("postgres", "CREATE INDEX ON tst USING ivfflat (v vector_l2_ops
 my $count = $node->safe_psql("postgres", qq(
 	SET enable_seqscan = off;
 	SET ivfflat.probes = 10;
-	SET ivfflat.iterative_search = relaxed_order;
+	SET ivfflat.iterative_scan = relaxed_order;
 	SELECT COUNT(*) FROM (SELECT v FROM tst WHERE i % 10000 = 0 ORDER BY v <-> (SELECT v FROM tst LIMIT 1) LIMIT 11) t;
 ));
 is($count, 10);
@@ -39,7 +39,7 @@ foreach ((30, 50, 70))
 		$count = $node->safe_psql("postgres", qq(
 			SET enable_seqscan = off;
 			SET ivfflat.probes = 10;
-			SET ivfflat.iterative_search = relaxed_order;
+			SET ivfflat.iterative_scan = relaxed_order;
 			SET ivfflat.max_probes = $max_probes;
 			SELECT COUNT(*) FROM (SELECT v FROM tst WHERE i % 10000 = 0 ORDER BY v <-> (SELECT v FROM tst WHERE i = $i) LIMIT 11) t;
 		));
diff --git a/test/t/042_ivfflat_iterative_search_recall.pl b/test/t/042_ivfflat_iterative_scan_recall.pl
similarity index 96%
rename from test/t/042_ivfflat_iterative_search_recall.pl
rename to test/t/042_ivfflat_iterative_scan_recall.pl
index b6844b5..c697f94 100644
--- a/test/t/042_ivfflat_iterative_search_recall.pl
+++ b/test/t/042_ivfflat_iterative_scan_recall.pl
@@ -19,7 +19,7 @@ sub test_recall
 	my $explain = $node->safe_psql("postgres", qq(
 		SET enable_seqscan = off;
 		SET ivfflat.probes = $probes;
-		SET ivfflat.iterative_search = relaxed_order;
+		SET ivfflat.iterative_scan = relaxed_order;
 		EXPLAIN ANALYZE SELECT i FROM tst WHERE i % $c = 0 ORDER BY v $operator '$queries[0]' LIMIT $limit;
 	));
 	like($explain, qr/Index Scan using idx on tst/);
@@ -29,7 +29,7 @@ sub test_recall
 		my $actual = $node->safe_psql("postgres", qq(
 			SET enable_seqscan = off;
 			SET ivfflat.probes = $probes;
-			SET ivfflat.iterative_search = relaxed_order;
+			SET ivfflat.iterative_scan = relaxed_order;
 			SELECT i FROM tst WHERE i % $c = 0 ORDER BY v $operator '$queries[$i]' LIMIT $limit;
 		));
 		my @actual_ids = split("\n", $actual);
diff --git a/test/t/043_hnsw_iterative_search.pl b/test/t/043_hnsw_iterative_scan.pl
similarity index 87%
rename from test/t/043_hnsw_iterative_search.pl
rename to test/t/043_hnsw_iterative_scan.pl
index ad0e681..3e22a8a 100644
--- a/test/t/043_hnsw_iterative_search.pl
+++ b/test/t/043_hnsw_iterative_scan.pl
@@ -26,8 +26,8 @@ $node->safe_psql("postgres", qq(
 
 my $count = $node->safe_psql("postgres", qq(
 	SET enable_seqscan = off;
-	SET hnsw.iterative_search = relaxed_order;
-	SET hnsw.max_search_tuples = 100000;
+	SET hnsw.iterative_scan = relaxed_order;
+	SET hnsw.max_scan_tuples = 100000;
 	SELECT COUNT(*) FROM (SELECT v FROM tst WHERE i % 10000 = 0 ORDER BY v <-> (SELECT v FROM tst LIMIT 1) LIMIT 11) t;
 ));
 is($count, 10);
@@ -42,8 +42,8 @@ foreach ((30000, 50000, 70000))
 	{
 		$count = $node->safe_psql("postgres", qq(
 			SET enable_seqscan = off;
-			SET hnsw.iterative_search = relaxed_order;
-			SET hnsw.max_search_tuples = $max_tuples;
+			SET hnsw.iterative_scan = relaxed_order;
+			SET hnsw.max_scan_tuples = $max_tuples;
 			SELECT COUNT(*) FROM (SELECT v FROM tst WHERE i % 10000 = 0 ORDER BY v <-> (SELECT v FROM tst WHERE i = $i) LIMIT 11) t;
 		));
 		$sum += $count;
@@ -56,10 +56,10 @@ foreach ((30000, 50000, 70000))
 
 my ($ret, $stdout, $stderr) = $node->psql("postgres", qq(
 	SET enable_seqscan = off;
-	SET hnsw.iterative_search = relaxed_order;
+	SET hnsw.iterative_scan = relaxed_order;
 	SET client_min_messages = debug1;
 	SET work_mem = '1MB';
-	SET hnsw.search_mem_multiplier = 1;
+	SET hnsw.scan_mem_multiplier = 1;
 	SELECT COUNT(*) FROM (SELECT v FROM tst WHERE i % 10000 = 0 ORDER BY v <-> (SELECT v FROM tst LIMIT 1) LIMIT 11) t;
 ));
 like($stderr, qr/hnsw index scan reached memory limit after \d+ tuples/);
diff --git a/test/t/044_hnsw_iterative_search_recall.pl b/test/t/044_hnsw_iterative_scan_recall.pl
similarity index 97%
rename from test/t/044_hnsw_iterative_search_recall.pl
rename to test/t/044_hnsw_iterative_scan_recall.pl
index 911fccb..0543f5b 100644
--- a/test/t/044_hnsw_iterative_search_recall.pl
+++ b/test/t/044_hnsw_iterative_scan_recall.pl
@@ -21,7 +21,7 @@ sub test_recall
 	my $explain = $node->safe_psql("postgres", qq(
 		SET enable_seqscan = off;
 		SET hnsw.ef_search = $ef_search;
-		SET hnsw.iterative_search = $mode;
+		SET hnsw.iterative_scan = $mode;
 		EXPLAIN ANALYZE SELECT i FROM tst WHERE i % $c = 0 ORDER BY v $operator '$queries[0]' LIMIT $limit;
 	));
 	like($explain, qr/Index Scan using idx on tst/);
@@ -31,7 +31,7 @@ sub test_recall
 		my $actual = $node->safe_psql("postgres", qq(
 			SET enable_seqscan = off;
 			SET hnsw.ef_search = $ef_search;
-			SET hnsw.iterative_search = $mode;
+			SET hnsw.iterative_scan = $mode;
 			SELECT i FROM tst WHERE i % $c = 0 ORDER BY v $operator '$queries[$i]' LIMIT $limit;
 		));
 		my @actual_ids = split("\n", $actual);