diff --git a/pyop2/global_kernel.py b/pyop2/global_kernel.py
index 75cb4a345..91911a253 100644
--- a/pyop2/global_kernel.py
+++ b/pyop2/global_kernel.py
@@ -6,8 +6,9 @@
 from typing import Optional, Tuple
 
 import loopy as lp
-from petsc4py import PETSc
 import numpy as np
+import pytools
+from petsc4py import PETSc
 
 from pyop2 import compilation, mpi
 from pyop2.caching import Cached
@@ -181,6 +182,16 @@ def __iter__(self):
     def __len__(self):
         return len(self.arguments)
 
+    @property
+    def is_direct(self):
+        """Is the data getting accessed directly?"""
+        return pytools.single_valued(a.is_direct for a in self.arguments)
+
+    @property
+    def is_indirect(self):
+        """Is the data getting accessed indirectly?"""
+        return pytools.single_valued(a.is_indirect for a in self.arguments)
+
     @property
     def cache_key(self):
         return tuple(a.cache_key for a in self.arguments)
diff --git a/pyop2/parloop.py b/pyop2/parloop.py
index 48e73ecd1..776b58c8d 100644
--- a/pyop2/parloop.py
+++ b/pyop2/parloop.py
@@ -1,7 +1,7 @@
 import abc
-from dataclasses import dataclass
-import functools
 import itertools
+import operator
+from dataclasses import dataclass
 from typing import Any, Optional, Tuple
 
 import loopy as lp
@@ -295,8 +295,10 @@ def global_to_local_end(self):
     def _g2l_begin_ops(self):
         ops = []
         for idx in self._g2l_idxs:
-            op = functools.partial(Dat.global_to_local_begin,
-                                   access_mode=self.accesses[idx])
+            op = operator.methodcaller(
+                "global_to_local_begin",
+                access_mode=self.accesses[idx],
+            )
             ops.append((idx, op))
         return tuple(ops)
 
@@ -304,8 +306,10 @@ def _g2l_begin_ops(self):
     def _g2l_end_ops(self):
         ops = []
         for idx in self._g2l_idxs:
-            op = functools.partial(Dat.global_to_local_end,
-                                   access_mode=self.accesses[idx])
+            op = operator.methodcaller(
+                "global_to_local_end",
+                access_mode=self.accesses[idx],
+            )
             ops.append((idx, op))
         return tuple(ops)
 
@@ -314,7 +318,7 @@ def _g2l_idxs(self):
         seen = set()
         indices = []
         for i, (lknl_arg, gknl_arg, pl_arg) in enumerate(self.zipped_arguments):
-            if (isinstance(gknl_arg, DatKernelArg) and pl_arg.data not in seen
+            if (isinstance(gknl_arg, (DatKernelArg, MixedDatKernelArg)) and pl_arg.data not in seen
                     and gknl_arg.is_indirect and lknl_arg.access is not Access.WRITE):
                 indices.append(i)
                 seen.add(pl_arg.data)
@@ -336,8 +340,10 @@ def local_to_global_end(self):
     def _l2g_begin_ops(self):
         ops = []
         for idx in self._l2g_idxs:
-            op = functools.partial(Dat.local_to_global_begin,
-                                   insert_mode=self.accesses[idx])
+            op = operator.methodcaller(
+                "local_to_global_begin",
+                insert_mode=self.accesses[idx],
+            )
             ops.append((idx, op))
         return tuple(ops)
 
@@ -345,8 +351,10 @@ def _l2g_begin_ops(self):
     def _l2g_end_ops(self):
         ops = []
         for idx in self._l2g_idxs:
-            op = functools.partial(Dat.local_to_global_end,
-                                   insert_mode=self.accesses[idx])
+            op = operator.methodcaller(
+                "local_to_global_end",
+                insert_mode=self.accesses[idx],
+            )
             ops.append((idx, op))
         return tuple(ops)
 
@@ -355,7 +363,7 @@ def _l2g_idxs(self):
         seen = set()
         indices = []
         for i, (lknl_arg, gknl_arg, pl_arg) in enumerate(self.zipped_arguments):
-            if (isinstance(gknl_arg, DatKernelArg) and pl_arg.data not in seen
+            if (isinstance(gknl_arg, (DatKernelArg, MixedDatKernelArg)) and pl_arg.data not in seen
                     and gknl_arg.is_indirect
                     and lknl_arg.access in {Access.INC, Access.MIN, Access.MAX}):
                 indices.append(i)
diff --git a/pyop2/types/dat.py b/pyop2/types/dat.py
index 5ed6702a9..826921e67 100644
--- a/pyop2/types/dat.py
+++ b/pyop2/types/dat.py
@@ -6,6 +6,7 @@
 
 import loopy as lp
 import numpy as np
+import pytools
 from petsc4py import PETSc
 
 from pyop2 import (
@@ -828,6 +829,10 @@ def what(x):
     def dat_version(self):
         return sum(d.dat_version for d in self._dats)
 
+    @property
+    def _halo_frozen(self):
+        return pytools.single_valued(d._halo_frozen for d in self._dats)
+
     def increment_dat_version(self):
         for d in self:
             d.increment_dat_version()
diff --git a/test/unit/test_indirect_loop.py b/test/unit/test_indirect_loop.py
index 728a02ff6..ca8341b1b 100644
--- a/test/unit/test_indirect_loop.py
+++ b/test/unit/test_indirect_loop.py
@@ -465,7 +465,6 @@ def test_composed_map_extrusion(variable, subset):
         indices = np.array([1], dtype=np.int32)
         setC = op2.Subset(setC, indices)
     op2.par_loop(k, setC, datC(op2.WRITE, mapC), datA(op2.READ, mapA))
-    print(datC.data)
     assert (datC.data == expected).all()