diff --git a/change_notes/2026-04-25-fix-performance-inappropriate-bitwise-or-shift-operands.md b/change_notes/2026-04-25-fix-performance-inappropriate-bitwise-or-shift-operands.md
new file mode 100644
index 0000000000..3b7fee651f
--- /dev/null
+++ b/change_notes/2026-04-25-fix-performance-inappropriate-bitwise-or-shift-operands.md
@@ -0,0 +1,5 @@
+- `RULE-6-4-2` - `InheritedOverridableMemberFunction.ql`:
+  - Improved evaluation performance.
+- `RULE-7-0-4` - `InappropriateBitwiseOrShiftOperands.ql`:
+  - Improved evaluation performance.
+  - Removed false positives related to the `insertion operator`.
diff --git a/cpp/common/src/codingstandards/cpp/rules/hiddeninheritedoverridablememberfunction/HiddenInheritedOverridableMemberFunction.qll b/cpp/common/src/codingstandards/cpp/rules/hiddeninheritedoverridablememberfunction/HiddenInheritedOverridableMemberFunction.qll
index ef99e01973..3604c4756c 100644
--- a/cpp/common/src/codingstandards/cpp/rules/hiddeninheritedoverridablememberfunction/HiddenInheritedOverridableMemberFunction.qll
+++ b/cpp/common/src/codingstandards/cpp/rules/hiddeninheritedoverridablememberfunction/HiddenInheritedOverridableMemberFunction.qll
@@ -12,15 +12,24 @@ abstract class HiddenInheritedOverridableMemberFunctionSharedQuery extends Query
 
 Query getQuery() { result instanceof HiddenInheritedOverridableMemberFunctionSharedQuery }
 
+private class OverridingDeclaration extends FunctionDeclarationEntry {
+  OverridingDeclaration() { this.getDeclaration().hasDefinition() implies not this.isDefinition() }
+}
+
+private class HiddenDeclaration extends OverridingDeclaration {
+  HiddenDeclaration() {
+    // Check if we are overriding a virtual inherited member function
+    this.getDeclaration().isVirtual() and
+    // Exclude private member functions, which cannot be inherited.
+    not this.getDeclaration().(MemberFunction).isPrivate()
+  }
+}
+
 query predicate problems(
-  FunctionDeclarationEntry overridingDecl, string message, FunctionDeclarationEntry hiddenDecl,
+  OverridingDeclaration overridingDecl, string message, HiddenDeclaration hiddenDecl,
   string hiddenDecl_string
 ) {
   not isExcluded(overridingDecl, getQuery()) and
-  // Check if we are overriding a virtual inherited member function
-  hiddenDecl.getDeclaration().isVirtual() and
-  // Exclude private member functions, which cannot be inherited.
-  not hiddenDecl.getDeclaration().(MemberFunction).isPrivate() and
   // The overriding declaration hides the hidden declaration if:
   (
     // 1. the overriding declaration overrides a function in a base class that is an overload of the hidden declaration
@@ -46,9 +55,6 @@ query predicate problems(
     overridingDecl.getDeclaration().getDeclaringType().getABaseClass() =
       hiddenDecl.getDeclaration().getDeclaringType()
   ) and
-  // Limit the results to the declarations and not the definitions, if any.
-  (overridingDecl.getDeclaration().hasDefinition() implies not overridingDecl.isDefinition()) and
-  (hiddenDecl.getDeclaration().hasDefinition() implies not hiddenDecl.isDefinition()) and
   message =
     "Declaration for member '" + overridingDecl.getName() +
       "' hides overridable inherited member function $@" and
diff --git a/cpp/misra/src/rules/RULE-7-0-4/InappropriateBitwiseOrShiftOperands.ql b/cpp/misra/src/rules/RULE-7-0-4/InappropriateBitwiseOrShiftOperands.ql
index e1f1e21069..9e1321134b 100644
--- a/cpp/misra/src/rules/RULE-7-0-4/InappropriateBitwiseOrShiftOperands.ql
+++ b/cpp/misra/src/rules/RULE-7-0-4/InappropriateBitwiseOrShiftOperands.ql
@@ -22,11 +22,13 @@ predicate isConstantExpression(Expr e) {
   e.isConstant()
 }
 
-predicate isValidShiftConstantRange(Expr right, Type leftType) {
+bindingset[right, leftType]
+pragma[inline_late]
+predicate isValidShiftConstantRange(Expr right, MisraCpp23BuiltInTypes::NumericType leftType) {
   exists(int value |
     value = right.getValue().toInt() and
     value >= 0 and
-    value < leftType.getSize() * 8
+    value < leftType.getBuiltInSize() * 8
   )
 }
 
@@ -97,7 +99,10 @@ where
     )
     or
     // Shift operators - right operand must be unsigned or constant in valid range
-    exists(BinaryShiftOpOrAssignOp shift, Expr right, Type rightType, Type leftType |
+    exists(
+      BinaryShiftOpOrAssignOp shift, Expr right, Type rightType,
+      MisraCpp23BuiltInTypes::NumericType leftType
+    |
       right = shift.getRightOperand() and
       x = right and
       rightType = right.getExplicitlyConverted().getType() and
@@ -108,7 +113,7 @@ where
         not isValidShiftConstantRange(right, leftType) and
         message =
           "Shift operator '" + shift.getOperator() + "' shifts by " + right.getValue().toInt() +
-            " which is not within the valid range 0.." + ((leftType.getSize() * 8) - 1) + "."
+            " which is not within the valid range 0.." + ((leftType.getBuiltInSize() * 8) - 1) + "."
       else (
         not MisraCpp23BuiltInTypes::isUnsignedType(rightType) and
         message =