diff --git a/pytato/target/loopy/codegen.py b/pytato/target/loopy/codegen.py
index 2202190159cc3ed43fde5688f8b31fb3ac9f4dcf..eaf645a1c7e916f78818a4ab4c7fdad03d0802d6 100644
--- a/pytato/target/loopy/codegen.py
+++ b/pytato/target/loopy/codegen.py
@@ -156,17 +156,17 @@ class LocalExpressionContext:
     .. automethod:: lookup
     """
     num_indices: int
-    local_namespace: Mapping[str, Array]
+    local_namespace: Mapping[str, ImplementedResult]
     reduction_bounds: ReductionBounds
     var_to_reduction_descr: Mapping[str, ReductionDescriptor]
 
-    def lookup(self, name: str) -> Array:
+    def lookup(self, name: str) -> ImplementedResult:
         return self.local_namespace[name]
 
     def copy(self, *,
              reduction_bounds: Optional[ReductionBounds] = None,
              num_indices: Optional[int] = None,
-             local_namespace: Optional[Mapping[str, Array]] = None,
+             local_namespace: Optional[Mapping[str, ImplementedResult]] = None,
              var_to_reduction_descr: Optional[
                  Mapping[str, ReductionDescriptor]] = None,
              ) -> LocalExpressionContext:
@@ -347,7 +347,7 @@ class CodeGenMapper(Mapper):
     def __init__(self,
                  array_tag_t_to_not_propagate: FrozenSet[Type[Tag]],
                  axis_tag_t_to_not_propagate: FrozenSet[Type[Tag]]) -> None:
-        self.exprgen_mapper = InlinedExpressionGenMapper(self)
+        self.exprgen_mapper = InlinedExpressionGenMapper(axis_tag_t_to_not_propagate)
         self.array_tag_t_to_not_propagate = array_tag_t_to_not_propagate
         self.axis_tag_t_to_not_propagate = axis_tag_t_to_not_propagate
         self.has_loopy_call = False
@@ -401,7 +401,9 @@ class CodeGenMapper(Mapper):
 
         prstnt_ctx = PersistentExpressionContext(state)
         local_ctx = LocalExpressionContext(
-            local_namespace=expr.bindings,
+            local_namespace={
+                name: self.rec(subexpr, state)
+                for name, subexpr in expr.bindings.items()},
             num_indices=expr.ndim,
             reduction_bounds={},
             var_to_reduction_descr=expr.var_to_reduction_descr)
@@ -622,10 +624,10 @@ class InlinedExpressionGenMapper(scalar_expr.IdentityMapper):
     The outputs of this mapper are scalar expressions suitable for wrapping in
     :class:`InlinedResult`.
     """
-    codegen_mapper: CodeGenMapper
+    axis_tag_t_to_not_propagate: FrozenSet[Type[Tag]]
 
-    def __init__(self, codegen_mapper: CodeGenMapper):
-        self.codegen_mapper = codegen_mapper
+    def __init__(self, axis_tag_t_to_not_propagate: FrozenSet[Type[Tag]]):
+        self.axis_tag_t_to_not_propagate = axis_tag_t_to_not_propagate
 
     if TYPE_CHECKING:
         def __call__(self, expr: ScalarExpression,
@@ -639,11 +641,8 @@ class InlinedExpressionGenMapper(scalar_expr.IdentityMapper):
                       local_ctx: LocalExpressionContext,
                       ) -> ScalarExpression:
         assert isinstance(expr.aggregate, prim.Variable)
-        result: ImplementedResult = self.codegen_mapper(
-                local_ctx.lookup(expr.aggregate.name), prstnt_ctx.state)
-        return result.to_loopy_expression(self.rec(expr.index, prstnt_ctx,
-                                                   local_ctx),
-                                          prstnt_ctx)
+        return local_ctx.lookup(expr.aggregate.name).to_loopy_expression(
+            self.rec(expr.index, prstnt_ctx, local_ctx), prstnt_ctx)
 
     def map_variable(self, expr: prim.Variable,
                      prstnt_ctx: PersistentExpressionContext,
@@ -660,10 +659,7 @@ class InlinedExpressionGenMapper(scalar_expr.IdentityMapper):
         elif expr.name in local_ctx.reduction_bounds:
             return expr
         else:
-            array = local_ctx.lookup(expr.name)
-            impl_result: ImplementedResult = self.codegen_mapper(array,
-                    prstnt_ctx.state)
-            return impl_result.to_loopy_expression((), prstnt_ctx)
+            return local_ctx.lookup(expr.name).to_loopy_expression((), prstnt_ctx)
 
     def map_call(self, expr: prim.Call,
                  prstnt_ctx: PersistentExpressionContext,
@@ -718,7 +714,7 @@ class InlinedExpressionGenMapper(scalar_expr.IdentityMapper):
         for name_in_expr, name_in_kernel in sorted(unique_names_mapping.items()):
             for tag in local_ctx.var_to_reduction_descr[name_in_expr].tags:
                 if all(not isinstance(tag, tag_t)
-                       for tag_t in self.codegen_mapper.axis_tag_t_to_not_propagate):
+                       for tag_t in self.axis_tag_t_to_not_propagate):
                     state.update_kernel(lp.tag_inames(state.kernel,
                                                       {name_in_kernel: tag}))