diff --git a/benchmark/benchmarks.jl b/benchmark/benchmarks.jl
index 5e1fea1..a1c8597 100644
--- a/benchmark/benchmarks.jl
+++ b/benchmark/benchmarks.jl
@@ -39,7 +39,7 @@ function prepare_4pls(group)
 
     for (est_nick, ability_estimator) in ability_estimators
         next_item_rule = ItemStrategyNextItemRule(
-            ExhaustiveSearch1Ply(),
+            ExhaustiveSearch(),
             ExpectationBasedItemCriterion(PointResponseExpectation(ability_estimator),
                 AbilityVarianceStateCriterion(
                     integrator, distribution_estimator(ability_estimator)))
diff --git a/docs/src/creating_a_cat.md b/docs/src/creating_a_cat.md
index 3ad7ea2..8b2664b 100644
--- a/docs/src/creating_a_cat.md
+++ b/docs/src/creating_a_cat.md
@@ -80,7 +80,7 @@ ComputerAdaptiveTesting.NextItemRules.RandomNextItemRule
 Other rules are created by combining a `ItemCriterion` -- which somehow rates
 items according to how good they are -- with a `NextItemStrategy` using an
 `ItemStrategyNextItemRule`, which acts as an adapter. The default
-`NextItemStrategy` (and currently only) is `ExhaustiveSearch1Ply`. When using
+`NextItemStrategy` (and currently only) is `ExhaustiveSearch`. When using
 the implicit constructors, `ItemCriterion` can therefore be used directly
 without wrapping in any place an NextItemRule is expected.
 
@@ -97,7 +97,7 @@ ComputerAdaptiveTesting.NextItemRules.NextItemStrategy
 ```
 
 ```@docs; canonical=false
-ComputerAdaptiveTesting.NextItemRules.ExhaustiveSearch1Ply
+ComputerAdaptiveTesting.NextItemRules.ExhaustiveSearch
 ```
 
 ### Evaluating item and state merit with `ItemCriterion` and `StateCriterion`
diff --git a/src/next_item_rules/NextItemRules.jl b/src/next_item_rules/NextItemRules.jl
index 30f2f86..b83d119 100644
--- a/src/next_item_rules/NextItemRules.jl
+++ b/src/next_item_rules/NextItemRules.jl
@@ -36,7 +36,7 @@ export ExpectationBasedItemCriterion, AbilityVarianceStateCriterion, init_thread
 export NextItemRule, ItemStrategyNextItemRule
 export UrryItemCriterion, InformationItemCriterion
 export RandomNextItemRule
-export ExhaustiveSearch1Ply
+export ExhaustiveSearch
 export catr_next_item_aliases
 export preallocate
 export compute_criteria
@@ -116,7 +116,7 @@ $(TYPEDEF)
 abstract type NextItemStrategy <: CatConfigBase end
 
 function NextItemStrategy(; parallel = true)
-    ExhaustiveSearch1Ply(parallel)
+    ExhaustiveSearch(parallel)
 end
 
 function NextItemStrategy(bits...; parallel = true)
@@ -130,7 +130,7 @@ $(TYPEDEF)
 $(TYPEDFIELDS)
 
 """
-@with_kw struct ExhaustiveSearch1Ply <: NextItemStrategy
+@with_kw struct ExhaustiveSearch <: NextItemStrategy
     parallel::Bool = false
 end
 
@@ -144,7 +144,7 @@ adapter by which an `ItemCriterion` can serve as a `NextItemRule`.
     $(FUNCTIONNAME)(bits...; ability_estimator=nothing, parallel=true)
 
 Implicit constructor for $(FUNCTIONNAME). Will default to
-`ExhaustiveSearch1Ply` when no `NextItemStrategy` is given.
+`ExhaustiveSearch` when no `NextItemStrategy` is given.
 """
 struct ItemStrategyNextItemRule{
     NextItemStrategyT <: NextItemStrategy,
@@ -167,7 +167,7 @@ function ItemStrategyNextItemRule(bits...;
     end
 end
 
-function (rule::ItemStrategyNextItemRule{ExhaustiveSearch1Ply, ItemCriterionT})(responses,
+function (rule::ItemStrategyNextItemRule{ExhaustiveSearch, ItemCriterionT})(responses,
         items) where {ItemCriterionT <: ItemCriterion}
     #, rule.strategy.parallel
     choose_item_1ply(rule.criterion, responses, items)[1]
diff --git a/src/next_item_rules/aliases.jl b/src/next_item_rules/aliases.jl
index fdf80a2..b67ef63 100644
--- a/src/next_item_rules/aliases.jl
+++ b/src/next_item_rules/aliases.jl
@@ -4,13 +4,13 @@ available through in the `catR` R package. TODO compability with `mirtcat`
 """
 const catr_next_item_aliases = Dict(
     "MFI" => (ability_estimator; parallel = true) -> ItemStrategyNextItemRule(
-        ExhaustiveSearch1Ply(parallel),
+        ExhaustiveSearch(parallel),
         InformationItemCriterion(ability_estimator)),
     "bOpt" => (ability_estimator; parallel = true) -> ItemStrategyNextItemRule(
-        ExhaustiveSearch1Ply(parallel),
+        ExhaustiveSearch(parallel),
         UrryItemCriterion(ability_estimator)),
     "MEPV" => (ability_estimator; parallel = true) -> ItemStrategyNextItemRule(
-        ExhaustiveSearch1Ply(parallel),
+        ExhaustiveSearch(parallel),
         ExpectationBasedItemCriterion(ability_estimator,
             AbilityVarianceStateCriterion(ability_estimator)))    #"MLWI",    #"MPWI",    #"MEI",
 )
@@ -29,7 +29,7 @@ function _mirtcat_helper(item_criterion_callback)
         ability_estimator = AbilityEstimator(bits...; ability_estimator = ability_estimator)
         item_criterion = item_criterion_callback(
             [bits..., ability_estimator], ability_estimator)
-        return ItemStrategyNextItemRule(ExhaustiveSearch1Ply(), item_criterion)
+        return ItemStrategyNextItemRule(ExhaustiveSearch(), item_criterion)
     end
     return _helper
 end