diff --git a/arrayjit/lib/tnode.ml b/arrayjit/lib/tnode.ml
index 97bc4f86..09d0c85b 100644
--- a/arrayjit/lib/tnode.ml
+++ b/arrayjit/lib/tnode.ml
@@ -193,14 +193,16 @@ let known_not_param tn =
 
 let known_shared_cross_stream tn =
   match tn.memory_mode with
-  | Some ((On_device Shared_cross_stream | Hosted (Changed_on_devices Shared_cross_stream)), _) ->
+  | Some
+      ( ( On_device Shared_cross_stream
+        | Hosted (Constant | Volatile | Changed_on_devices Shared_cross_stream) ),
+        _ ) ->
       true
   | _ -> false
 
 let known_non_cross_stream tn =
   match tn.memory_mode with
-  | Some ((On_device Per_stream | Hosted (Changed_on_devices Per_stream)), _) ->
-      true
+  | Some ((On_device Per_stream | Hosted (Changed_on_devices Per_stream)), _) -> true
   | _ -> false
 
 let mode_is_unspecified tn =
@@ -246,6 +248,9 @@ let update_memory_mode tn mode provenance =
           "Tnode.update_memory_mode: update %{prov2#Int} -> %{provenance#Int} inconsistent for \
            %{debug_name tn}"]
 
+(** [update_memory_sharing tn sharing provenance] preserves the memory mode of [tn] while updating
+    the cross-stream sharing property, except that [Hosted Nonconstant] is further specialized to
+    [Hosted (Changed_on_devices sharing)]. *)
 let update_memory_sharing tn sharing provenance =
   match (tn.memory_mode, sharing) with
   | None, _ -> tn.memory_mode <- Some (On_device sharing, provenance)
@@ -264,13 +269,27 @@ let update_memory_sharing tn sharing provenance =
              "Tnode.update_memory_sharing: update %{prov2#Int} -> %{provenance#Int} for \
               %{debug_name tn} (hosted) -- change from non-shared to shared is currently not \
               permitted"]
-  | Some (Hosted (Changed_on_devices _), _), _ ->
+  | Some (Hosted (Constant | Volatile), prov2), Per_stream ->
+      raise
+      @@ Utils.User_error
+           [%string
+             "Tnode.update_memory_sharing: update %{prov2#Int} -> %{provenance#Int} for \
+              %{debug_name tn} (hosted) -- currently hosted nodes not changed on devices must be \
+              shared cross-stream"]
+  | Some (Hosted (Constant | Volatile), _), Shared_cross_stream -> ()
+  | Some (Hosted (Nonconstant | Changed_on_devices _), _), _ ->
       tn.memory_mode <- Some (Hosted (Changed_on_devices sharing), provenance)
-  | Some (_, prov2), _ ->
+  | Some (_, prov2), Unset ->
+      invalid_arg
+        [%string
+          "Tnode.update_memory_sharing: update %{prov2#Int} -> %{provenance#Int} for %{debug_name \
+           tn} -- currently unsetting of sharing not allowed"]
+  | Some (mem_mode, prov2), _ ->
       invalid_arg
         [%string
           "Tnode.update_memory_sharing: update %{prov2#Int} -> %{provenance#Int} inconsistent for \
-           %{debug_name tn} -- not materialized on the devices"]
+           %{debug_name tn} -- not materialized on the devices: %{Sexp.to_string_hum @@ \
+           sexp_of_memory_mode mem_mode}"]
 
 let update_prec ?only_if tn prec =
   let do_update =
diff --git a/bin/moons_benchmark.ml b/bin/moons_benchmark.ml
index 4b32342b..6a43ea19 100644
--- a/bin/moons_benchmark.ml
+++ b/bin/moons_benchmark.ml
@@ -217,8 +217,8 @@ let _mem_benchmarks =
         ~f:(fun batch_size ->
           List.concat_map [ 0; (* 1; 2; *) 3 ] ~f:(fun inlining_cutoff ->
               List.concat_map [ (* 1; 3; *) 7 (* *) ] ~f:(fun seed ->
-                  List.concat_map [ (* "gccjit" ; *) "cc" (* ; "cuda" *) ] ~f:(fun backend_name ->
-                      List.concat_map [ CDSL.double; CDSL.single (* ; CDSL.half *) ]
+                  List.concat_map [ (* "gccjit" ; "cc"; *) "cuda" ] ~f:(fun backend_name ->
+                      List.concat_map [ (* CDSL.double; *) CDSL.single (* ; CDSL.half *) ]
                         ~f:(fun value_prec ->
                           [
                             classify_moons ~seed ~on_device:true ~inlining_cutoff ~num_streams