diff --git a/loopy/kernel/__init__.py b/loopy/kernel/__init__.py
index 084c37b45cc4af25689ae3e121f170382c4e8d16..4e2819a82162b26a8c53dc25b434990473ed2d2c 100644
--- a/loopy/kernel/__init__.py
+++ b/loopy/kernel/__init__.py
@@ -1474,6 +1474,9 @@ class LoopKernel(ImmutableRecordWithoutPickling):
         return hash(key_hash.digest())
 
     def __eq__(self, other):
+        if self is other:
+            return True
+
         if not isinstance(other, LoopKernel):
             return False
 
diff --git a/loopy/kernel/array.py b/loopy/kernel/array.py
index 5d4240b9ab3e1ce2ad356a93b5e21b3bbf4d499e..7e3cf913339678731fedf54d3fd5abebcb816d3a 100644
--- a/loopy/kernel/array.py
+++ b/loopy/kernel/array.py
@@ -808,6 +808,9 @@ class ArrayBase(ImmutableRecord):
                 **kwargs)
 
     def __eq__(self, other):
+        if self is other:
+            return True
+
         from loopy.symbolic import (
                 is_tuple_of_expressions_equal as istoee,
                 is_expression_equal as isee)
diff --git a/loopy/kernel/data.py b/loopy/kernel/data.py
index 94b31df12dae516d3539438b7e4ed66ed765e697..facb3c9a05683d218684d921eb72a5e9438fd1fd 100644
--- a/loopy/kernel/data.py
+++ b/loopy/kernel/data.py
@@ -480,6 +480,9 @@ class TemporaryVariable(ArrayBase):
                 " scope:%s" % scope_str)
 
     def __eq__(self, other):
+        if self is other:
+            return True
+
         return (
                 super(TemporaryVariable, self).__eq__(other)
                 and self.storage_shape == other.storage_shape
diff --git a/loopy/target/__init__.py b/loopy/target/__init__.py
index 7e307ef8bdd4d89e24b26dbacf39733ab3350307..42eef5b504d44a93a9c28c7862e4ecb89e899242 100644
--- a/loopy/target/__init__.py
+++ b/loopy/target/__init__.py
@@ -60,6 +60,9 @@ class TargetBase(object):
             key_builder.rec(key_hash, getattr(self, field_name))
 
     def __eq__(self, other):
+        if self is other:
+            return True
+
         if type(self) != type(other):
             return False
 
diff --git a/loopy/tools.py b/loopy/tools.py
index 1ebbe5c8a4fd2b68e3bfcf5ed493384599dac2c5..d26fa2ae903d28b4a88b3d5ae246b58c9d70efe4 100644
--- a/loopy/tools.py
+++ b/loopy/tools.py
@@ -537,6 +537,9 @@ class LazilyUnpicklingListWithEqAndPersistentHashing(LazilyUnpicklingList):
         return self.persistent_hash_key_getter(obj)
 
     def __eq__(self, other):
+        if self is other:
+            return True
+
         if not isinstance(other, (list, LazilyUnpicklingList)):
             return NotImplemented