diff --git a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__aggregations_and_comments@datalog_program.snap b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__aggregations_and_comments@datalog_program.snap
index e0eb44db2be5..d733cd81ef4c 100644
--- a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__aggregations_and_comments@datalog_program.snap
+++ b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__aggregations_and_comments@datalog_program.snap
@@ -9,7 +9,7 @@ fn main() {
             use hydroflow::{var_expr, var_args};
             let mut df = hydroflow::scheduled::graph::Hydroflow::new();
             df.__assign_meta_graph(
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mut (Option < _ > ,) , val : (_ ,) | { old . 0 = if let Some (prev) = old . 0 . take () { Some ({ let prev : (hydroflow :: rustc_hash :: FxHashSet < _ > , _) = prev ; let mut set : hydroflow :: rustc_hash :: FxHashSet < _ > = prev . 0 ; if set . insert (val . 0) { (set , prev . 1 + 1) } else { (set , prev . 1) } }) } else { Some ({ let mut set = hydroflow :: rustc_hash :: FxHashSet :: < _ > :: default () ; set . insert (val . 0) ; (set , 1) }) } ; })\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ ,) , _) | (a . 0 . unwrap () . 1 , g . 0 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 1 ,) , (row . 0 ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"fold_keyed :: < 'tick , (_ ,) , (Option < _ > ,) > (| | (None ,) , | old : & mut (Option < _ > ,) , val : (_ ,) | { old . 0 = if let Some (prev) = old . 0 . take () { Some (prev + val . 0) } else { Some (val . 0) } ; })\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ ,) , _) | (a . 0 . unwrap () , g . 0 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"defer_tick ()\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 1 ,) , (row . 0 ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"fold_keyed :: < 'tick , (_ ,) , (Option < _ > ,) > (| | (None ,) , | old : & mut (Option < _ > ,) , val : (_ ,) | { old . 0 = if let Some (prev) = old . 0 . take () { Some (prev) } else { Some (val . 0) } ; })\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ ,) , _) | (a . 0 . unwrap () , g . 0 ,))\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":1},{\"value\":{\"Operator\":\"identity 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+                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Operator\":\"tee ()\"},\"version\":1},{\"value\":{\"Operator\":\"union ()\"},\"version\":1},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"source_stream (ints)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | result . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | result2 . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 1 ,) , ((row . 0) ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"fold_keyed :: < 'tick , (_ ,) , (Option < _ > ,) > (| | (None ,) , | old : & mut (Option < _ > ,) , val : (_ ,) | { old . 0 = if let Some (prev) = old . 0 . take () { Some ({ let prev : (hydroflow :: rustc_hash :: FxHashSet < _ > , _) = prev ; let mut set : hydroflow :: rustc_hash :: FxHashSet < _ > = prev . 0 ; if set . insert (val . 0) { (set , prev . 1 + 1) } else { (set , prev . 1) } }) } else { Some ({ let mut set = hydroflow :: rustc_hash :: FxHashSet :: < _ > :: default () ; set . insert (val . 0) ; (set , 1) }) } ; })\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ ,) , _) | (a . 0 . unwrap () . 1 , g . 0 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 1 ,) , (row . 0 ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"fold_keyed :: < 'tick , (_ ,) , (Option < _ > ,) > (| | (None ,) , | old : & mut (Option < _ > ,) , val : (_ ,) | { old . 0 = if let Some (prev) = old . 0 . take () { Some (prev + val . 0) } else { Some (val . 0) } ; })\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ ,) , _) | (a . 0 . unwrap () , g . 0 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"defer_tick ()\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 1 ,) , (row . 0 ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"fold_keyed :: < 'tick , (_ ,) , (Option < _ > ,) > (| | (None ,) , | old : & mut (Option < _ > ,) , val : (_ ,) | { old . 0 = if let Some (prev) = old . 0 . take () { Some (prev) } else { Some (val . 0) } ; })\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ ,) , _) | (a . 0 . unwrap () , g . 0 ,))\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":1},{\"value\":{\"Operator\":\"identity ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":1}],\"graph\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":2,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":2,\"version\":1},{\"idx\":3,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":4,\"version\":1},{\"idx\":5,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":6,\"version\":3},{\"idx\":24,\"version\":1}],\"version\":5},{\"value\":[{\"idx\":22,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":9,\"version\":3},{\"idx\":14,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":1,\"version\":3},{\"idx\":17,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":5,\"version\":1},{\"idx\":11,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":8,\"version\":1},{\"idx\":12,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":15,\"version\":1},{\"idx\":4,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":14,\"version\":1},{\"idx\":15,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":13,\"version\":1},{\"idx\":9,\"version\":3}],\"version\":3},{\"value\":[{\"idx\":3,\"version\":1},{\"idx\":13,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":19,\"version\":1},{\"idx\":4,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":18,\"version\":1},{\"idx\":6,\"version\":3}],\"version\":3},{\"value\":[{\"idx\":17,\"version\":1},{\"idx\":7,\"version\":3}],\"version\":3},{\"value\":[{\"idx\":16,\"version\":1},{\"idx\":1,\"version\":3}],\"version\":3},{\"value\":[{\"idx\":3,\"version\":1},{\"idx\":16,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":7,\"version\":3},{\"idx\":18,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":21,\"version\":1},{\"idx\":22,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":20,\"version\":1},{\"idx\":23,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":3,\"version\":1},{\"idx\":20,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":23,\"version\":1},{\"idx\":21,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":24,\"version\":1},{\"idx\":25,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":25,\"version\":1},{\"idx\":19,\"version\":1}],\"version\":1}],\"ports\":[{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":5},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",{\"Int\":\"0\"}],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[{\"Int\":\"0\"},\"Elided\"],\"version\":1},{\"value\":[\"Elided\",{\"Int\":\"1\"}],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[{\"Int\":\"1\"},\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[{\"Int\":\"2\"},\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":1}],\"node_subgraph\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":5,\"version\":1},\"version\":1},{\"value\":{\"idx\":5,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":5,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":5,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":5,\"version\":1},\"version\":1},{\"value\":{\"idx\":3,\"version\":1},\"version\":1},{\"value\":{\"idx\":4,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":5,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":6,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":14,\"version\":1},{\"idx\":15,\"version\":1},{\"idx\":19,\"version\":1},{\"idx\":4,\"version\":1},{\"idx\":5,\"version\":1},{\"idx\":11,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":21,\"version\":1},{\"idx\":22,\"version\":1},{\"idx\":8,\"version\":1},{\"idx\":12,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":17,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":18,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":3,\"version\":1},{\"idx\":13,\"version\":1},{\"idx\":16,\"version\":1},{\"idx\":20,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":24,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":1,\"version\":1},{\"value\":1,\"version\":1},{\"value\":1,\"version\":1},{\"value\":1,\"version\":1},{\"value\":0,\"version\":1},{\"value\":2,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"ints_insert\",\"version\":1},{\"value\":\"ints\",\"version\":1},{\"value\":\"result_insert\",\"version\":1},{\"value\":\"result_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"result2_insert\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"star_ord\":10,\"lattice_flow_type\":null},\"version\":1}],\"subgraph_laziness\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":false,\"version\":1}]}",
             );
             df.__assign_diagnostics("[]");
             let (hoff_1v3_send, hoff_1v3_recv) = df
diff --git a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__aggregations_fold_keyed_expr@datalog_program.snap b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__aggregations_fold_keyed_expr@datalog_program.snap
index 4760d2cc38c6..1cbe864ac57a 100644
--- a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__aggregations_fold_keyed_expr@datalog_program.snap
+++ b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__aggregations_fold_keyed_expr@datalog_program.snap
@@ -9,7 +9,7 @@ fn main() {
             use hydroflow::{var_expr, var_args};
             let mut df = hydroflow::scheduled::graph::Hydroflow::new();
             df.__assign_meta_graph(
-                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"source_stream (ints)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | result . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 0 % 2 ,) , (row . 1 ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"fold_keyed :: < 'tick , (_ ,) , (Option < _ > ,) > (| | (None ,) , | old : & mut (Option < _ > ,) , val : (_ ,) | { old . 0 = if let Some (prev) = old . 0 . take () { Some (prev + val . 0) } else { Some (val . 0) } ; })\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ ,) , _) | (g . 0 , a . 0 . unwrap () ,))\"},\"version\":1}],\"edge_types\":[{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":3}],\"graph\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":6,\"version\":3},{\"idx\":10,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":9,\"version\":1},{\"idx\":6,\"version\":3}],\"version\":3},{\"value\":[{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1}],\"version\":3}],\"ports\":[{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3}],\"node_subgraph\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":1,\"version\":1},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"ints_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"result_insert\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
+                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"source_stream (ints)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | result . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 0 % 2 ,) , (row . 1 ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"fold_keyed :: < 'tick , (_ ,) , (Option < _ > ,) > (| | (None ,) , | old : & mut (Option < _ > ,) , val : (_ ,) | { old . 0 = if let Some (prev) = old . 0 . take () { Some (prev + val . 0) } else { Some (val . 0) } ; })\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ ,) , _) | (g . 0 , a . 0 . unwrap () ,))\"},\"version\":1}],\"graph\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":6,\"version\":3},{\"idx\":10,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":9,\"version\":1},{\"idx\":6,\"version\":3}],\"version\":3},{\"value\":[{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1}],\"version\":3}],\"ports\":[{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3}],\"node_subgraph\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":1,\"version\":1},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"ints_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"result_insert\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
             );
             df.__assign_diagnostics("[]");
             let (hoff_6v3_send, hoff_6v3_recv) = df
diff --git a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__anti_join@datalog_program.snap b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__anti_join@datalog_program.snap
index 3f887c3812fa..624e8a54c165 100644
--- a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__anti_join@datalog_program.snap
+++ b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__anti_join@datalog_program.snap
@@ -9,7 +9,7 @@ fn main() {
             use hydroflow::{var_expr, var_args};
             let mut df = hydroflow::scheduled::graph::Hydroflow::new();
             df.__assign_meta_graph(
-                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"source_stream (ints_1)\"},\"version\":1},{\"value\":{\"Operator\":\"source_stream (ints_2)\"},\"version\":1},{\"value\":{\"Operator\":\"source_stream (ints_3)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | result . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"join :: < 'tick , 'tick , hydroflow :: compiled :: pull :: HalfMultisetJoinState > ()\"},\"version\":1},{\"value\":{\"Operator\":\"map (| kv : ((_ ,) , ((_ ,) , (_ ,))) | (kv . 0 . 0 , kv . 1 . 0 . 0 , kv . 1 . 1 . 0 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| _v : (_ , _ ,) | ((_v . 1 ,) , (_v . 0 ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| _v : (_ , _ ,) | ((_v . 0 ,) , (_v . 1 ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"anti_join ()\"},\"version\":1},{\"value\":{\"Operator\":\"map (| kv : ((_ ,) , (_ , _ ,)) | (kv . 0 . 0 , kv . 1 . 0 , kv . 1 . 1 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| _v : (_ , _ , _ ,) | ((_v . 0 ,) , (_v . 1 , _v . 2 ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| _v : (_ ,) | (_v . 0 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ , _ ,) | ((row . 1 , row . 2 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ , _ ,) , _) | (g . 0 , g . 1 ,))\"},\"version\":1}],\"edge_types\":[{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":5},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":5},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":1}],\"graph\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":13,\"version\":1},{\"idx\":9,\"version\":3}],\"version\":5},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":14,\"version\":1},{\"idx\":6,\"version\":3}],\"version\":5},{\"value\":[{\"idx\":6,\"version\":3},{\"idx\":5,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":15,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":9,\"version\":3},{\"idx\":2,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":26,\"version\":1},{\"idx\":11,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":12,\"version\":3},{\"idx\":21,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":11,\"version\":1},{\"idx\":16,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":17,\"version\":1},{\"idx\":18,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":19,\"version\":1},{\"idx\":17,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":2,\"version\":1},{\"idx\":19,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":20,\"version\":1},{\"idx\":17,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":5,\"version\":1},{\"idx\":20,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":21,\"version\":1},{\"idx\":22,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":23,\"version\":1},{\"idx\":21,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":18,\"version\":1},{\"idx\":23,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":24,\"version\":1},{\"idx\":12,\"version\":3}],\"version\":3},{\"value\":[{\"idx\":8,\"version\":1},{\"idx\":24,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":25,\"version\":1},{\"idx\":26,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":22,\"version\":1},{\"idx\":25,\"version\":1}],\"version\":1}],\"ports\":[{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":5},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":5},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",{\"Path\":\"neg\"}],\"version\":3},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",{\"Int\":\"0\"}],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",{\"Int\":\"1\"}],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",{\"Path\":\"pos\"}],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":1}],\"node_subgraph\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":3,\"version\":1},\"version\":1},{\"value\":{\"idx\":4,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"vers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+                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"source_stream (ints_1)\"},\"version\":1},{\"value\":{\"Operator\":\"source_stream (ints_2)\"},\"version\":1},{\"value\":{\"Operator\":\"source_stream (ints_3)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | result . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"join :: < 'tick , 'tick , hydroflow :: compiled :: pull :: 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             );
             df.__assign_diagnostics("[]");
             let (hoff_6v3_send, hoff_6v3_recv) = df
diff --git a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__collect_vec@datalog_program.snap b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__collect_vec@datalog_program.snap
index cedabe72a0ad..10c2c0cef05d 100644
--- a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__collect_vec@datalog_program.snap
+++ b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__collect_vec@datalog_program.snap
@@ -9,7 +9,7 @@ fn main() {
             use hydroflow::{var_expr, var_args};
             let mut df = hydroflow::scheduled::graph::Hydroflow::new();
             df.__assign_meta_graph(
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,))\"},\"version\":1}],\"edge_types\":[{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":1}],\"graph\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":2,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":19,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":9,\"version\":3},{\"idx\":18,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":8,\"version\":1},{\"idx\":12,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":13,\"version\":1},{\"idx\":14,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":15,\"version\":1},{\"idx\":13,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":2,\"version\":1},{\"idx\":15,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":16,\"version\":1},{\"idx\":13,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":5,\"version\":1},{\"idx\":16,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":18,\"version\":1},{\"idx\":19,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":17,\"version\":1},{\"idx\":9,\"version\":3}],\"version\":3},{\"value\":[{\"idx\":14,\"version\":1},{\"idx\":17,\"version\":1}],\"version\":1}],\"ports\":[{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",{\"Int\":\"0\"}],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",{\"Int\":\"1\"}],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":1}],\"node_subgraph\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":18,\"version\":1},{\"idx\":19,\"version\":1},{\"idx\":8,\"version\":1},{\"idx\":12,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1},{\"idx\":15,\"version\":1},{\"idx\":16,\"version\":1},{\"idx\":13,\"version\":1},{\"idx\":14,\"version\":1},{\"idx\":17,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":1,\"version\":1},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"ints1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+                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"source_stream (ints1)\"},\"version\":1},{\"value\":{\"Operator\":\"source_stream (ints2)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | result . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"join :: < 'tick , 'tick , hydroflow :: compiled :: pull :: HalfMultisetJoinState > ()\"},\"version\":1},{\"value\":{\"Operator\":\"map (| kv : (() , ((_ ,) , (_ ,))) | (kv . 1 . 0 . 0 , kv . 1 . 1 . 0 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| _v : (_ ,) | (() , (_v . 0 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ce_flow_type\":null},\"version\":3},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"star_ord\":2,\"lattice_flow_type\":null},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"star_ord\":2,\"lattice_flow_type\":null},\"version\":3},{\"value\":{\"star_ord\":2,\"lattice_flow_type\":null},\"version\":1}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
             );
             df.__assign_diagnostics("[]");
             let (hoff_9v3_send, hoff_9v3_recv) = df
diff --git a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__expr_lhs@datalog_program.snap b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__expr_lhs@datalog_program.snap
index 7df6a651be1c..e8ff1709c33e 100644
--- a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__expr_lhs@datalog_program.snap
+++ b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__expr_lhs@datalog_program.snap
@@ -9,7 +9,7 @@ fn main() {
             use hydroflow::{var_expr, var_args};
             let mut df = hydroflow::scheduled::graph::Hydroflow::new();
             df.__assign_meta_graph(
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n\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":3,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":9,\"version\":1},{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1},{\"idx\":12,\"version\":1},{\"idx\":13,\"version\":1},{\"idx\":14,\"version\":1},{\"idx\":15,\"version\":1},{\"idx\":16,\"version\":1},{\"idx\":17,\"version\":1},{\"idx\":18,\"version\":1},{\"idx\":19,\"version\":1},{\"idx\":20,\"version\":1},{\"idx\":4,\"version\":1},{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":0,\"version\":1},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"ints_insert\",\"version\":1},{\"value\":\"ints\",\"version\":1},{\"value\":\"result_insert\",\"version\":1},{\"value\":\"result_insert\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"star_ord\":19,\"lattice_flow_type\":null},\"version\":1}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
             );
             df.__assign_diagnostics("[]");
             let (hoff_1v3_send, hoff_1v3_recv) = df
diff --git a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__expr_predicate@datalog_program.snap b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__expr_predicate@datalog_program.snap
index e328ea2a8b7a..7fd949f0745a 100644
--- a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__expr_predicate@datalog_program.snap
+++ b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__expr_predicate@datalog_program.snap
@@ -9,7 +9,7 @@ fn main() {
             use hydroflow::{var_expr, var_args};
             let mut df = hydroflow::scheduled::graph::Hydroflow::new();
             df.__assign_meta_graph(
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+                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Operator\":\"tee ()\"},\"version\":1},{\"value\":{\"Operator\":\"union ()\"},\"version\":1},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"source_stream (ints)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | result . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"filter (| row : & (_ ,) | row . 0 == 0)\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ ,) | ((1 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ ,) , _) | (g . 0 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"filter (| row : & (_ ,) | row . 0 != 0)\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ ,) | ((2 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g 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ubgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":0,\"version\":1},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"ints_insert\",\"version\":1},{\"value\":\"ints\",\"version\":1},{\"value\":\"result_insert\",\"version\":1},{\"value\":\"result_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"predicate_0_filter\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"predicate_1_filter\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"predicate_2_filter\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"predicate_3_filter\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"star_ord\":17,\"lattice_flow_type\":null},\"version\":1}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
             );
             df.__assign_diagnostics("[]");
             let (hoff_1v3_send, hoff_1v3_recv) = df
diff --git a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__index@datalog_program.snap b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__index@datalog_program.snap
index 774496de2cae..6d85e7947f24 100644
--- a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__index@datalog_program.snap
+++ b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__index@datalog_program.snap
@@ -9,7 +9,7 @@ fn main() {
             use hydroflow::{var_expr, var_args};
             let mut df = hydroflow::scheduled::graph::Hydroflow::new();
             df.__assign_meta_graph(
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()\"},\"version\":1},{\"value\":{\"Operator\":\"tee ()\"},\"version\":1},{\"value\":{\"Operator\":\"defer_tick ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Operator\":\"difference :: < 'tick , 'static > ()\"},\"version\":1},{\"value\":{\"Operator\":\"tee ()\"},\"version\":1},{\"value\":{\"Operator\":\"defer_tick ()\"},\"version\":1},{\"value\":{\"Operator\":\"source_stream (ints)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | result . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | result2 . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | result3 . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | result4 . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"persist ()\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | result5 . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 0 , row . 1 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"enumerate :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (__enumerate_index , (g , a)) : (_ , ((_ , _ ,) , _)) | (g . 0 , g . 1 , __enumerate_index ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 0 ,) , ((row . 1) ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"fold_keyed :: < 'tick , (_ ,) , (Option < _ > ,) > (| | (None ,) , | old : & mut (Option < _ > ,) , val : (_ ,) | { old . 0 = if let Some (prev) = old . 0 . take () { Some ({ let prev : (hydroflow :: rustc_hash :: FxHashSet < _ > , _) = prev ; let mut set : hydroflow :: rustc_hash :: FxHashSet < _ > = prev . 0 ; if set . insert (val . 0) { (set , prev . 1 + 1) } else { (set , prev . 1) } }) } else { Some ({ let mut set = hydroflow :: rustc_hash :: FxHashSet :: < _ > :: default () ; set . insert (val . 0) ; (set , 1) }) } ; })\"},\"version\":1},{\"value\":{\"Operator\":\"enumerate :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (__enumerate_index , (g , a)) : (_ , ((_ ,) , _)) | (g . 0 , a . 0 . unwrap () . 1 , __enumerate_index ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 0 , row . 1 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ , _ ,) , _) | (g . 0 , g . 1 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 0 , row . 1 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"enumerate :: < 'static > ()\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (__enumerate_index , (g , a)) : (_ , ((_ , _ ,) , _)) | (g . 0 , g . 1 , __enumerate_index ,))\"},\"version\":1},{\"value\":{\"Operator\":\"persist ()\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 0 ,) , ((row . 1) ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"fold_keyed :: < 'static , (_ ,) , (Option < _ > ,) > (| | (None ,) , | old : & mut (Option < _ > ,) , val : (_ ,) | { old . 0 = if let Some (prev) = old . 0 . take () { Some ({ let prev : (hydroflow :: rustc_hash :: FxHashSet < _ > , _) = prev ; let mut set : hydroflow :: rustc_hash :: FxHashSet < _ > = prev . 0 ; if set . insert (val . 0) { (set , prev . 1 + 1) } else { (set , prev . 1) } }) } else { Some ({ let mut set = hydroflow :: rustc_hash :: FxHashSet :: < _ > :: default () ; set . insert (val . 0) ; (set , 1) }) } ; })\"},\"version\":1},{\"value\":{\"Operator\":\"enumerate :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (__enumerate_index , (g , a)) : (_ , ((_ ,) , _)) | (g . 0 , a . 0 . unwrap () . 1 , __enumerate_index ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 0 , row . 1 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"enumerate :: < 'static > ()\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (__enumerate_index , (g , a)) : (_ , ((_ , _ ,) , _)) | 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             );
             df.__assign_diagnostics("[]");
             let (hoff_6v3_send, hoff_6v3_recv) = df
diff --git a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__join_with_other@datalog_program.snap b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__join_with_other@datalog_program.snap
index f8b2fc555aff..fc7ab5db4a4e 100644
--- a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__join_with_other@datalog_program.snap
+++ b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__join_with_other@datalog_program.snap
@@ -9,7 +9,7 @@ fn main() {
             use hydroflow::{var_expr, var_args};
             let mut df = hydroflow::scheduled::graph::Hydroflow::new();
             df.__assign_meta_graph(
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+                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"source_stream (in1)\"},\"version\":1},{\"value\":{\"Operator\":\"source_stream (in2)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | out . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"join :: < 'tick , 'tick , hydroflow :: compiled :: pull :: HalfMultisetJoinState > ()\"},\"version\":1},{\"value\":{\"Operator\":\"map (| kv : ((_ , _ ,) , (() , ())) | (kv . 0 . 0 , kv . 0 . 1 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| _v : (_ , _ ,) | ((_v . 0 , _v . 1 ,) , 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r_ord\":2,\"lattice_flow_type\":null},\"version\":1},{\"value\":{\"star_ord\":2,\"lattice_flow_type\":null},\"version\":1}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
             );
             df.__assign_diagnostics("[]");
             let mut sg_1v1_node_10v1_stream = {
diff --git a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__join_with_self@datalog_program.snap b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__join_with_self@datalog_program.snap
index f12dc0d75c00..ec92c6e866e8 100644
--- a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__join_with_self@datalog_program.snap
+++ b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__join_with_self@datalog_program.snap
@@ -9,7 +9,7 @@ fn main() {
             use hydroflow::{var_expr, var_args};
             let mut df = hydroflow::scheduled::graph::Hydroflow::new();
             df.__assign_meta_graph(
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+                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Operator\":\"tee ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"source_stream (input)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | out . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"join :: < 'tick , 'tick , hydroflow :: compiled :: pull :: HalfMultisetJoinState > ()\"},\"version\":1},{\"value\":{\"Operator\":\"map (| kv : ((_ , _ ,) , (() , ())) | (kv . 0 . 0 , kv . 0 . 1 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| _v : (_ , _ ,) | ((_v . 0 , _v . 1 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| _v : (_ , _ ,) | ((_v . 1 , _v . 0 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 0 , row . 1 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ , _ ,) , _) | (g . 0 , g . 1 ,))\"},\"version\":1}],\"graph\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":2,\"version\":1},{\"idx\":3,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":14,\"version\":1},{\"idx\":5,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":6,\"version\":3},{\"idx\":11,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":9,\"version\":1},{\"idx\":10,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":11,\"version\":1},{\"idx\":9,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":3,\"version\":1},{\"idx\":6,\"version\":3}],\"version\":3},{\"value\":[{\"idx\":12,\"version\":1},{\"idx\":9,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":3,\"version\":1},{\"idx\":4,\"version\":3}],\"version\":3},{\"value\":[{\"idx\":4,\"version\":3},{\"idx\":12,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":13,\"version\":1},{\"idx\":14,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":13,\"version\":1}],\"version\":1}],\"ports\":[{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",{\"Int\":\"0\"}],\"version\":1},{\"value\":[{\"Int\":\"0\"},\"Elided\"],\"version\":3},{\"value\":[\"Elided\",{\"Int\":\"1\"}],\"version\":1},{\"value\":[{\"Int\":\"1\"},\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":1}],\"node_subgraph\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":3,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":11,\"version\":1},{\"idx\":12,\"version\":1},{\"idx\":9,\"version\":1},{\"idx\":10,\"version\":1},{\"idx\":13,\"version\":1},{\"idx\":14,\"version\":1},{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":0,\"version\":1},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"input_insert\",\"version\":1},{\"value\":\"input\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":\"out_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"join_0\",\"version\":1},{\"value\":\"join_0\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"star_ord\":5,\"lattice_flow_type\":null},\"version\":3},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"star_ord\":5,\"lattice_flow_type\":null},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"star_ord\":5,\"lattice_flow_type\":null},\"version\":1},{\"value\":{\"star_ord\":5,\"lattice_flow_type\":null},\"version\":1}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
             );
             df.__assign_diagnostics("[]");
             let (hoff_4v3_send, hoff_4v3_recv) = df
diff --git a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__local_constraints@datalog_program-2.snap b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__local_constraints@datalog_program-2.snap
index 5099c865f409..fc3568ac84fd 100644
--- a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__local_constraints@datalog_program-2.snap
+++ b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__local_constraints@datalog_program-2.snap
@@ -9,7 +9,7 @@ fn main() {
             use hydroflow::{var_expr, var_args};
             let mut df = hydroflow::scheduled::graph::Hydroflow::new();
             df.__assign_meta_graph(
-                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"source_stream (input)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | out . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"filter (| row : & (_ , _ , _ , _ ,) | row . 0 == row . 1 && row . 2 == row . 3)\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ , _ , _ ,) | ((row . 0 . clone () , row . 0 , row . 2 . clone () , row . 2 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ , _ , _ , _ ,) , _) | (g . 0 , g . 1 , g . 2 , g . 3 ,))\"},\"version\":1}],\"edge_types\":[{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":1}],\"graph\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":9,\"version\":1},{\"idx\":10,\"version\":1}],\"version\":1}],\"ports\":[{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":1}],\"node_subgraph\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1},{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"input_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"out_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"join_0_filter\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
+                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"source_stream (input)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | out . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"filter (| row : & (_ , _ , _ , _ ,) | row . 0 == row . 1 && row . 2 == row . 3)\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ , _ , _ ,) | ((row . 0 . clone () , row . 0 , row . 2 . clone () , row . 2 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ , _ , _ , _ ,) , _) | (g . 0 , g . 1 , g . 2 , g . 3 ,))\"},\"version\":1}],\"graph\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":9,\"version\":1},{\"idx\":10,\"version\":1}],\"version\":1}],\"ports\":[{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":1}],\"node_subgraph\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1},{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"input_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"out_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"join_0_filter\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
             );
             df.__assign_diagnostics("[]");
             let mut sg_1v1_node_7v1_stream = {
diff --git a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__local_constraints@datalog_program.snap b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__local_constraints@datalog_program.snap
index 93907ffa532f..9c9bb4408f35 100644
--- a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__local_constraints@datalog_program.snap
+++ b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__local_constraints@datalog_program.snap
@@ -9,7 +9,7 @@ fn main() {
             use hydroflow::{var_expr, var_args};
             let mut df = hydroflow::scheduled::graph::Hydroflow::new();
             df.__assign_meta_graph(
-                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"source_stream (input)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | out . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"filter (| row : & (_ , _ ,) | row . 0 == row . 1)\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 0 . clone () , row . 0 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ , _ ,) , _) | (g . 0 , g . 1 ,))\"},\"version\":1}],\"edge_types\":[{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":1}],\"graph\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":9,\"version\":1},{\"idx\":10,\"version\":1}],\"version\":1}],\"ports\":[{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":1}],\"node_subgraph\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1},{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"input_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"out_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"join_0_filter\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
+                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"source_stream (input)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | out . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"filter (| row : & (_ , _ ,) | row . 0 == row . 1)\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 0 . clone () , row . 0 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ , _ ,) , _) | (g . 0 , g . 1 ,))\"},\"version\":1}],\"graph\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":9,\"version\":1},{\"idx\":10,\"version\":1}],\"version\":1}],\"ports\":[{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":1}],\"node_subgraph\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1},{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"input_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"out_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"join_0_filter\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
             );
             df.__assign_diagnostics("[]");
             let mut sg_1v1_node_7v1_stream = {
diff --git a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__max@datalog_program.snap b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__max@datalog_program.snap
index b77b0fb9d21d..816ad4c2ffeb 100644
--- a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__max@datalog_program.snap
+++ b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__max@datalog_program.snap
@@ -9,7 +9,7 @@ fn main() {
             use hydroflow::{var_expr, var_args};
             let mut df = hydroflow::scheduled::graph::Hydroflow::new();
             df.__assign_meta_graph(
-                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"source_stream (ints)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | result . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 1 ,) , (row . 0 ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"fold_keyed :: < 'tick , (_ ,) , (Option < _ > ,) > (| | (None ,) , | old : & mut (Option < _ > ,) , val : (_ ,) | { old . 0 = if let Some (prev) = old . 0 . take () { Some (std :: cmp :: max (prev , val . 0)) } else { Some (val . 0) } ; })\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ ,) , _) | (a . 0 . unwrap () , g . 0 ,))\"},\"version\":1}],\"edge_types\":[{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":3}],\"graph\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":6,\"version\":3},{\"idx\":10,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":9,\"version\":1},{\"idx\":6,\"version\":3}],\"version\":3},{\"value\":[{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1}],\"version\":3}],\"ports\":[{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3}],\"node_subgraph\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":1,\"version\":1},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"ints_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"result_insert\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
+                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"source_stream (ints)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | result . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 1 ,) , (row . 0 ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"fold_keyed :: < 'tick , (_ ,) , (Option < _ > ,) > (| | (None ,) , | old : & mut (Option < _ > ,) , val : (_ ,) | { old . 0 = if let Some (prev) = old . 0 . take () { Some (std :: cmp :: max (prev , val . 0)) } else { Some (val . 0) } ; })\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ ,) , _) | (a . 0 . unwrap () , g . 0 ,))\"},\"version\":1}],\"graph\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":6,\"version\":3},{\"idx\":10,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":9,\"version\":1},{\"idx\":6,\"version\":3}],\"version\":3},{\"value\":[{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1}],\"version\":3}],\"ports\":[{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3}],\"node_subgraph\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":1,\"version\":1},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"ints_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"result_insert\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
             );
             df.__assign_diagnostics("[]");
             let (hoff_6v3_send, hoff_6v3_recv) = df
diff --git a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__max_all@datalog_program.snap b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__max_all@datalog_program.snap
index a5e9597e7249..609674377531 100644
--- a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__max_all@datalog_program.snap
+++ b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__max_all@datalog_program.snap
@@ -9,7 +9,7 @@ fn main() {
             use hydroflow::{var_expr, var_args};
             let mut df = hydroflow::scheduled::graph::Hydroflow::new();
             df.__assign_meta_graph(
-                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"source_stream (ints)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | result . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | (() , (row . 0 , row . 1 ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"fold_keyed :: < 'tick , () , (Option < _ > , Option < _ > ,) > (| | (None , None ,) , | old : & mut (Option < _ > , Option < _ > ,) , val : (_ , _ ,) | { old . 0 = if let Some (prev) = old . 0 . take () { Some (std :: cmp :: max (prev , val . 0)) } else { Some (val . 0) } ; old . 1 = if let Some (prev) = old . 1 . take () { Some (std :: cmp :: max (prev , val . 1)) } else { Some (val . 1) } ; })\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : (() , _) | (a . 0 . unwrap () , a . 1 . unwrap () ,))\"},\"version\":1}],\"edge_types\":[{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":3}],\"graph\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":6,\"version\":3},{\"idx\":10,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":9,\"version\":1},{\"idx\":6,\"version\":3}],\"version\":3},{\"value\":[{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1}],\"version\":3}],\"ports\":[{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3}],\"node_subgraph\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":1,\"version\":1},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"ints_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"result_insert\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
+                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"source_stream (ints)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | result . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | (() , (row . 0 , row . 1 ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"fold_keyed :: < 'tick , () , (Option < _ > , Option < _ > ,) > (| | (None , None ,) , | old : & mut (Option < _ > , Option < _ > ,) , val : (_ , _ ,) | { old . 0 = if let Some (prev) = old . 0 . take () { Some (std :: cmp :: max (prev , val . 0)) } else { Some (val . 0) } ; old . 1 = if let Some (prev) = old . 1 . take () { Some (std :: cmp :: max (prev , val . 1)) } else { Some (val . 1) } ; })\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : (() , _) | (a . 0 . unwrap () , a . 1 . unwrap () ,))\"},\"version\":1}],\"graph\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":6,\"version\":3},{\"idx\":10,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":9,\"version\":1},{\"idx\":6,\"version\":3}],\"version\":3},{\"value\":[{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1}],\"version\":3}],\"ports\":[{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3}],\"node_subgraph\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":1,\"version\":1},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"ints_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"result_insert\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
             );
             df.__assign_diagnostics("[]");
             let (hoff_6v3_send, hoff_6v3_recv) = df
diff --git a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__minimal_program@datalog_program.snap b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__minimal_program@datalog_program.snap
index 8788a57f0b1e..50cfc61ff073 100644
--- a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__minimal_program@datalog_program.snap
+++ b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__minimal_program@datalog_program.snap
@@ -9,7 +9,7 @@ fn main() {
             use hydroflow::{var_expr, var_args};
             let mut df = hydroflow::scheduled::graph::Hydroflow::new();
             df.__assign_meta_graph(
-                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"source_stream (input)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | out . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 1 , row . 0 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ , _ ,) , _) | (g . 0 , g . 1 ,))\"},\"version\":1}],\"edge_types\":[{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":3}],\"graph\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":5,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":9,\"version\":1},{\"idx\":10,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1}],\"version\":3}],\"ports\":[{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3}],\"node_subgraph\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1},{\"idx\":10,\"version\":1},{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"input_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"out_insert\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
+                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"source_stream (input)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | out . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 1 , row . 0 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ , _ ,) , _) | (g . 0 , g . 1 ,))\"},\"version\":1}],\"graph\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":5,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":9,\"version\":1},{\"idx\":10,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1}],\"version\":3}],\"ports\":[{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3}],\"node_subgraph\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1},{\"idx\":10,\"version\":1},{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"input_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"out_insert\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
             );
             df.__assign_diagnostics("[]");
             let mut sg_1v1_node_7v1_stream = {
diff --git a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__multiple_contributors@datalog_program.snap b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__multiple_contributors@datalog_program.snap
index 4d225aa096d5..86bf09ef8523 100644
--- a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__multiple_contributors@datalog_program.snap
+++ b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__multiple_contributors@datalog_program.snap
@@ -9,7 +9,7 @@ fn main() {
             use hydroflow::{var_expr, var_args};
             let mut df = hydroflow::scheduled::graph::Hydroflow::new();
             df.__assign_meta_graph(
-                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"union ()\"},\"version\":1},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"source_stream (in1)\"},\"version\":1},{\"value\":{\"Operator\":\"source_stream (in2)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | out . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 0 , row . 1 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ , _ ,) , _) | (g . 0 , g . 1 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 1 , row . 0 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ , _ ,) , _) | (g . 0 , g . 1 ,))\"},\"version\":1}],\"edge_types\":[{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":3}],\"graph\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":2,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":8,\"version\":1},{\"idx\":12,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":14,\"version\":1},{\"idx\":7,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":13,\"version\":1},{\"idx\":14,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":2,\"version\":1},{\"idx\":13,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":16,\"version\":1},{\"idx\":7,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":15,\"version\":1},{\"idx\":16,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":5,\"version\":1},{\"idx\":15,\"version\":1}],\"version\":3}],\"ports\":[{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",{\"Int\":\"0\"}],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",{\"Int\":\"1\"}],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3}],\"node_subgraph\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1},{\"idx\":13,\"version\":1},{\"idx\":14,\"version\":1},{\"idx\":15,\"version\":1},{\"idx\":16,\"version\":1},{\"idx\":7,\"version\":1},{\"idx\":8,\"version\":1},{\"idx\":12,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"in1_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"in2_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":\"out_insert\",\"version\":1},{\"value\":\"out_insert\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"star_ord\":4,\"lattice_flow_type\":null},\"version\":1}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
+                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"union ()\"},\"version\":1},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"source_stream (in1)\"},\"version\":1},{\"value\":{\"Operator\":\"source_stream (in2)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | out . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 0 , row . 1 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ , _ ,) , _) | (g . 0 , g . 1 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 1 , row . 0 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ , _ ,) , _) | (g . 0 , g . 1 ,))\"},\"version\":1}],\"graph\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":2,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":8,\"version\":1},{\"idx\":12,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":14,\"version\":1},{\"idx\":7,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":13,\"version\":1},{\"idx\":14,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":2,\"version\":1},{\"idx\":13,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":16,\"version\":1},{\"idx\":7,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":15,\"version\":1},{\"idx\":16,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":5,\"version\":1},{\"idx\":15,\"version\":1}],\"version\":3}],\"ports\":[{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",{\"Int\":\"0\"}],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",{\"Int\":\"1\"}],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3}],\"node_subgraph\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1},{\"idx\":13,\"version\":1},{\"idx\":14,\"version\":1},{\"idx\":15,\"version\":1},{\"idx\":16,\"version\":1},{\"idx\":7,\"version\":1},{\"idx\":8,\"version\":1},{\"idx\":12,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"in1_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"in2_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":\"out_insert\",\"version\":1},{\"value\":\"out_insert\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"star_ord\":4,\"lattice_flow_type\":null},\"version\":1}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
             );
             df.__assign_diagnostics("[]");
             let mut sg_1v1_node_10v1_stream = {
diff --git a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__non_copy_but_clone@datalog_program.snap b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__non_copy_but_clone@datalog_program.snap
index d87ac63b2b7d..7a03eb2cbe95 100644
--- a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__non_copy_but_clone@datalog_program.snap
+++ b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__non_copy_but_clone@datalog_program.snap
@@ -9,7 +9,7 @@ fn main() {
             use hydroflow::{var_expr, var_args};
             let mut df = hydroflow::scheduled::graph::Hydroflow::new();
             df.__assign_meta_graph(
-                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"source_stream (strings)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | result . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ ,) | ((row . 0 . clone () , row . 0 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ , _ ,) , _) | (g . 0 , g . 1 ,))\"},\"version\":1}],\"edge_types\":[{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":3}],\"graph\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":5,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":9,\"version\":1},{\"idx\":10,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1}],\"version\":3}],\"ports\":[{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3}],\"node_subgraph\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1},{\"idx\":10,\"version\":1},{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"strings_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"result_insert\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
+                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"source_stream (strings)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | result . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ ,) | ((row . 0 . clone () , row . 0 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ , _ ,) , _) | (g . 0 , g . 1 ,))\"},\"version\":1}],\"graph\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":5,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":9,\"version\":1},{\"idx\":10,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1}],\"version\":3}],\"ports\":[{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3}],\"node_subgraph\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1},{\"idx\":10,\"version\":1},{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"strings_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"result_insert\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
             );
             df.__assign_diagnostics("[]");
             let mut sg_1v1_node_7v1_stream = {
diff --git a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__persist@datalog_program.snap b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__persist@datalog_program.snap
index 91c30b77f995..c684c046c6f8 100644
--- a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__persist@datalog_program.snap
+++ b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__persist@datalog_program.snap
@@ -9,7 +9,7 @@ fn main() {
             use hydroflow::{var_expr, var_args};
             let mut df = hydroflow::scheduled::graph::Hydroflow::new();
             df.__assign_meta_graph(
-                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Operator\":\"difference :: < 'tick , 'static > ()\"},\"version\":1},{\"value\":{\"Operator\":\"tee ()\"},\"version\":1},{\"value\":{\"Operator\":\"defer_tick ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Operator\":\"difference :: < 'tick , 'static > ()\"},\"version\":1},{\"value\":{\"Operator\":\"tee ()\"},\"version\":1},{\"value\":{\"Operator\":\"defer_tick ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Operator\":\"difference :: < 'tick , 'static > ()\"},\"version\":1},{\"value\":{\"Operator\":\"tee ()\"},\"version\":1},{\"value\":{\"Operator\":\"defer_tick ()\"},\"version\":1},{\"value\":{\"Operator\":\"source_stream (ints1)\"},\"version\":1},{\"value\":{\"Operator\":\"source_stream (ints2)\"},\"version\":1},{\"value\":{\"Operator\":\"source_stream (ints3)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | result . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | result2 . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | result3 . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | result4 . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"join :: < 'static , 'static , hydroflow :: compiled :: pull :: HalfMultisetJoinState > ()\"},\"version\":1},{\"value\":{\"Operator\":\"map (| kv : (() , ((_ ,) , (_ ,))) | (kv . 1 . 0 . 0 , kv . 1 . 1 . 0 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| _v : (_ ,) | (() , (_v . 0 ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| _v : (_ ,) | (() , (_v . 0 ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"join :: < 'static , 'tick , hydroflow :: compiled :: pull :: HalfMultisetJoinState > ()\"},\"version\":1},{\"value\":{\"Operator\":\"map (| kv : (() , ((_ , _ ,) , (_ ,))) | (kv . 1 . 0 . 0 , kv . 1 . 0 . 1 , kv . 1 . 1 . 0 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| _v : (_ , _ ,) | (() , (_v . 0 , _v . 1 ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| _v : (_ ,) | (() , (_v . 0 ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ , _ ,) | ((row . 0 , row . 1 , row . 2 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ , _ , _ ,) , _) | (g . 0 , g . 1 , g . 2 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"anti_join ()\"},\"version\":1},{\"value\":{\"Operator\":\"map (| kv : ((_ ,) , ()) | (kv . 0 . 0 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"persist ()\"},\"version\":1},{\"value\":{\"Operator\":\"map (| _v : (_ ,) | ((_v . 0 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"persist ()\"},\"version\":1},{\"value\":{\"Operator\":\"map (| _v : (_ ,) | (_v . 0 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ ,) | ((row . 0 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ ,) , _) | (g . 0 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ ,) | ((row . 0 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ ,) , _) | (g . 0 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"persist ()\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ ,) | ((row . 0 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ ,) , _) | (g . 0 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ ,) | ((row . 0 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ ,) , _) | (g . 0 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ ,) | ((row . 0 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ ,) , _) | (g . 0 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"persist 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             df.__assign_diagnostics("[]");
             let (hoff_6v3_send, hoff_6v3_recv) = df
diff --git a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__persist_uniqueness@datalog_program.snap b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__persist_uniqueness@datalog_program.snap
index 766619e4b49f..9c4ef05c8539 100644
--- a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__persist_uniqueness@datalog_program.snap
+++ b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__persist_uniqueness@datalog_program.snap
@@ -9,7 +9,7 @@ fn main() {
             use hydroflow::{var_expr, var_args};
             let mut df = hydroflow::scheduled::graph::Hydroflow::new();
             df.__assign_meta_graph(
-                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Operator\":\"difference :: < 'tick , 'static > ()\"},\"version\":1},{\"value\":{\"Operator\":\"tee ()\"},\"version\":1},{\"value\":{\"Operator\":\"defer_tick ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"source_stream (ints2)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | result . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ ,) | ((row . 0 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ ,) , _) | (g . 0 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ ,) | (() , ((row . 0) ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"fold_keyed :: < 'static , () , (Option < _ > ,) > (| | (None ,) , | old : & mut (Option < _ > ,) , val : (_ ,) | { old . 0 = if let Some (prev) = old . 0 . take () { Some ({ let prev : (hydroflow :: rustc_hash :: FxHashSet < _ > , _) = prev ; let mut set : hydroflow :: rustc_hash :: FxHashSet < _ > = prev . 0 ; if set . insert (val . 0) { (set , prev . 1 + 1) } else { (set , prev . 1) } }) } else { Some ({ let mut set = hydroflow :: rustc_hash :: FxHashSet :: < _ > :: default () ; set . insert (val . 0) ; (set , 1) }) } ; })\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : (() , _) | (a . 0 . unwrap () . 1 ,))\"},\"version\":1}],\"edge_types\":[{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":5},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":1}],\"graph\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":15,\"version\":1},{\"idx\":2,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":3,\"version\":1},{\"idx\":4,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":2,\"version\":1},{\"idx\":3,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":5,\"version\":1},{\"idx\":11,\"version\":3}],\"version\":3},{\"value\":[{\"idx\":4,\"version\":1},{\"idx\":8,\"version\":3}],\"version\":3},{\"value\":[{\"idx\":12,\"version\":1},{\"idx\":6,\"version\":3}],\"version\":5},{\"value\":[{\"idx\":8,\"version\":3},{\"idx\":5,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":18,\"version\":1},{\"idx\":10,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":11,\"version\":3},{\"idx\":3,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":6,\"version\":3},{\"idx\":7,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":13,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":14,\"version\":1},{\"idx\":15,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":14,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":9,\"version\":3},{\"idx\":17,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":17,\"version\":1},{\"idx\":18,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":16,\"version\":1},{\"idx\":9,\"version\":3}],\"version\":3},{\"value\":[{\"idx\":4,\"version\":1},{\"idx\":16,\"version\":1}],\"version\":1}],\"ports\":[{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",{\"Path\":\"pos\"}],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":5},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",{\"Path\":\"neg\"}],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[{\"Int\":\"0\"},\"Elided\"],\"version\":1}],\"node_subgraph\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":3,\"version\":1},\"version\":1},{\"value\":{\"idx\":3,\"version\":1},\"version\":1},{\"value\":{\"idx\":3,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":3,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":4,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":3,\"version\":1},\"version\":1},{\"value\":{\"idx\":3,\"version\":1},\"version\":1},{\"value\":{\"idx\":3,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":5,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":17,\"version\":1},{\"idx\":18,\"version\":1},{\"idx\":10,\"version\":1},{\"idx\":13,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":14,\"version\":1},{\"idx\":15,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":3,\"version\":1},{\"idx\":4,\"version\":1},{\"idx\":16,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":12,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":0,\"version\":1},{\"value\":2,\"version\":1},{\"value\":1,\"version\":1},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"ints1_insert\",\"version\":1},{\"value\":\"ints1\",\"version\":1},{\"value\":\"ints1\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"ints2_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"result_insert\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
+                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Operator\":\"difference :: < 'tick , 'static > ()\"},\"version\":1},{\"value\":{\"Operator\":\"tee ()\"},\"version\":1},{\"value\":{\"Operator\":\"defer_tick ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"source_stream (ints2)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | result . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ ,) | ((row . 0 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ ,) , _) | (g . 0 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ ,) | (() , ((row . 0) ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"fold_keyed :: < 'static , () , (Option < _ > ,) > (| | (None ,) , | old : & mut (Option < _ > ,) , val : (_ ,) | { old . 0 = if let Some (prev) = old . 0 . take () { Some ({ let prev : (hydroflow :: rustc_hash :: FxHashSet < _ > , _) = prev ; let mut set : hydroflow :: rustc_hash :: FxHashSet < _ > = prev . 0 ; if set . insert (val . 0) { (set , prev . 1 + 1) } else { (set , prev . 1) } }) } else { Some ({ let mut set = hydroflow :: rustc_hash :: FxHashSet :: < _ > :: default () ; set . insert (val . 0) ; (set , 1) }) } ; })\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : (() , _) | (a . 0 . unwrap () . 1 ,))\"},\"version\":1}],\"graph\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":15,\"version\":1},{\"idx\":2,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":3,\"version\":1},{\"idx\":4,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":2,\"version\":1},{\"idx\":3,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":5,\"version\":1},{\"idx\":11,\"version\":3}],\"version\":3},{\"value\":[{\"idx\":4,\"version\":1},{\"idx\":8,\"version\":3}],\"version\":3},{\"value\":[{\"idx\":12,\"version\":1},{\"idx\":6,\"version\":3}],\"version\":5},{\"value\":[{\"idx\":8,\"version\":3},{\"idx\":5,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":18,\"version\":1},{\"idx\":10,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":11,\"version\":3},{\"idx\":3,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":6,\"version\":3},{\"idx\":7,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":13,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":14,\"version\":1},{\"idx\":15,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":14,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":9,\"version\":3},{\"idx\":17,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":17,\"version\":1},{\"idx\":18,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":16,\"version\":1},{\"idx\":9,\"version\":3}],\"version\":3},{\"value\":[{\"idx\":4,\"version\":1},{\"idx\":16,\"version\":1}],\"version\":1}],\"ports\":[{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",{\"Path\":\"pos\"}],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":5},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",{\"Path\":\"neg\"}],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[{\"Int\":\"0\"},\"Elided\"],\"version\":1}],\"node_subgraph\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":3,\"version\":1},\"version\":1},{\"value\":{\"idx\":3,\"version\":1},\"version\":1},{\"value\":{\"idx\":3,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":3,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":4,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":3,\"version\":1},\"version\":1},{\"value\":{\"idx\":3,\"version\":1},\"version\":1},{\"value\":{\"idx\":3,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":5,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":17,\"version\":1},{\"idx\":18,\"version\":1},{\"idx\":10,\"version\":1},{\"idx\":13,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":14,\"version\":1},{\"idx\":15,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":3,\"version\":1},{\"idx\":4,\"version\":1},{\"idx\":16,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":12,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":0,\"version\":1},{\"value\":2,\"version\":1},{\"value\":1,\"version\":1},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"ints1_insert\",\"version\":1},{\"value\":\"ints1\",\"version\":1},{\"value\":\"ints1\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"ints2_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"result_insert\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
             );
             df.__assign_diagnostics("[]");
             let (hoff_6v3_send, hoff_6v3_recv) = df
diff --git a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__send_to_node@datalog_program.snap b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__send_to_node@datalog_program.snap
index 32f4f45bbaf4..a459dee5ca8b 100644
--- a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__send_to_node@datalog_program.snap
+++ b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__send_to_node@datalog_program.snap
@@ -9,7 +9,7 @@ fn main() {
             use hydroflow::{var_expr, var_args};
             let mut df = hydroflow::scheduled::graph::Hydroflow::new();
             df.__assign_meta_graph(
-                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"source_stream (ints)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | result . send (v) . unwrap ())\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| (node , data) | async_send_result (node , data))\"},\"version\":1},{\"value\":{\"Operator\":\"source_stream (async_receive_result)\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 0 , row . 1 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ , _ ,) , _) | (g . 0 , g . 1 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| v : (_ , _ ,) | (v . 1 , (v . 0 ,)))\"},\"version\":1}],\"edge_types\":[{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":3}],\"graph\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":12,\"version\":1},{\"idx\":5,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":15,\"version\":1},{\"idx\":10,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":14,\"version\":1},{\"idx\":15,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":13,\"version\":1},{\"idx\":14,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":2,\"version\":1},{\"idx\":13,\"version\":1}],\"version\":3}],\"ports\":[{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3}],\"node_subgraph\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":12,\"version\":1},{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":13,\"version\":1},{\"idx\":14,\"version\":1},{\"idx\":15,\"version\":1},{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":0,\"version\":1},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"ints_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"result_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"result_async_send\",\"version\":1},{\"value\":\"result_async_send\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
+                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"source_stream (ints)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | result . send (v) . unwrap ())\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| (node , data) | async_send_result (node , data))\"},\"version\":1},{\"value\":{\"Operator\":\"source_stream (async_receive_result)\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 0 , row . 1 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ , _ ,) , _) | (g . 0 , g . 1 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| v : (_ , _ ,) | (v . 1 , (v . 0 ,)))\"},\"version\":1}],\"graph\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":12,\"version\":1},{\"idx\":5,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":15,\"version\":1},{\"idx\":10,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":14,\"version\":1},{\"idx\":15,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":13,\"version\":1},{\"idx\":14,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":2,\"version\":1},{\"idx\":13,\"version\":1}],\"version\":3}],\"ports\":[{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3}],\"node_subgraph\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":12,\"version\":1},{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":13,\"version\":1},{\"idx\":14,\"version\":1},{\"idx\":15,\"version\":1},{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":0,\"version\":1},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"ints_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"result_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"result_async_send\",\"version\":1},{\"value\":\"result_async_send\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
             );
             df.__assign_diagnostics("[]");
             let mut sg_1v1_node_12v1_stream = {
diff --git a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__simple_filter@datalog_program.snap b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__simple_filter@datalog_program.snap
index 6ee3b4ea2664..a8b77b008678 100644
--- a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__simple_filter@datalog_program.snap
+++ b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__simple_filter@datalog_program.snap
@@ -9,7 +9,7 @@ fn main() {
             use hydroflow::{var_expr, var_args};
             let mut df = hydroflow::scheduled::graph::Hydroflow::new();
             df.__assign_meta_graph(
-                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"source_stream (input)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | out . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"filter (| row : & (_ , _ ,) | row . 0 > row . 1 && row . 1 == row . 0)\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 0 , row . 1 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ , _ ,) , _) | (g . 0 , g . 1 ,))\"},\"version\":1}],\"edge_types\":[{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":1}],\"graph\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":9,\"version\":1},{\"idx\":10,\"version\":1}],\"version\":1}],\"ports\":[{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":1}],\"node_subgraph\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1},{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"input_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"out_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"predicate_0_filter\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
+                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"source_stream (input)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | out . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"filter (| row : & (_ , _ ,) | row . 0 > row . 1 && row . 1 == row . 0)\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 0 , row . 1 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ , _ ,) , _) | (g . 0 , g . 1 ,))\"},\"version\":1}],\"graph\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":9,\"version\":1},{\"idx\":10,\"version\":1}],\"version\":1}],\"ports\":[{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":1}],\"node_subgraph\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1},{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"input_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"out_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"predicate_0_filter\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
             );
             df.__assign_diagnostics("[]");
             let mut sg_1v1_node_7v1_stream = {
diff --git a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__single_column_program@datalog_program.snap b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__single_column_program@datalog_program.snap
index 8be43f94eb2c..9a6c0c98b451 100644
--- a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__single_column_program@datalog_program.snap
+++ b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__single_column_program@datalog_program.snap
@@ -9,7 +9,7 @@ fn main() {
             use hydroflow::{var_expr, var_args};
             let mut df = hydroflow::scheduled::graph::Hydroflow::new();
             df.__assign_meta_graph(
-                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"source_stream (in1)\"},\"version\":1},{\"value\":{\"Operator\":\"source_stream (in2)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | out . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"join :: < 'tick , 'tick , hydroflow :: compiled :: pull :: HalfMultisetJoinState > ()\"},\"version\":1},{\"value\":{\"Operator\":\"map (| kv : ((_ ,) , (() , ())) | (kv . 0 . 0 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| _v : (_ ,) | ((_v . 0 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| _v : (_ ,) | ((_v . 0 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ ,) | ((row . 0 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ ,) , _) | (g . 0 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+                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"source_stream (in1)\"},\"version\":1},{\"value\":{\"Operator\":\"source_stream (in2)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | out . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"join :: < 'tick , 'tick , hydroflow :: compiled :: pull :: HalfMultisetJoinState > ()\"},\"version\":1},{\"value\":{\"Operator\":\"map (| kv : ((_ ,) , (() , ())) | (kv . 0 . 0 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| _v : (_ ,) | ((_v . 0 ,) , 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r_ord\":2,\"lattice_flow_type\":null},\"version\":1},{\"value\":{\"star_ord\":2,\"lattice_flow_type\":null},\"version\":1}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
             );
             df.__assign_diagnostics("[]");
             let mut sg_1v1_node_10v1_stream = {
diff --git a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__splat@datalog_program.snap b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__splat@datalog_program.snap
index d6ab19bdbe8a..a9f55d81341f 100644
--- a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__splat@datalog_program.snap
+++ b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__splat@datalog_program.snap
@@ -9,7 +9,7 @@ fn main() {
             use hydroflow::{var_expr, var_args};
             let mut df = hydroflow::scheduled::graph::Hydroflow::new();
             df.__assign_meta_graph(
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+                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"source_stream (ints1)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | result . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 0 , row . 1 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"flat_map (| (g , a) : ((_ , _ ,) , _) | g . 1 . into_iter () . map (move | __splatted | ((g . 0 . clone () , __splatted ,) , a . clone ())))\"},\"version\":1},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ , _ ,) , _) | (g . 0 , g . 1 ,))\"},\"version\":1}],\"graph\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":12,\"version\":1},{\"idx\":5,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":11,\"version\":1},{\"idx\":12,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":9,\"version\":1},{\"idx\":10,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1}],\"version\":3}],\"ports\":[{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3}],\"node_subgraph\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":9,\"version\":1},{\"idx\":10,\"version\":1},{\"idx\":11,\"version\":1},{\"idx\":12,\"version\":1},{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"ints1_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"result_insert\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
             );
             df.__assign_diagnostics("[]");
             let mut sg_1v1_node_7v1_stream = {
diff --git a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__transitive_closure@datalog_program.snap b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__transitive_closure@datalog_program.snap
index 19f4d11d703c..14cd98c209df 100644
--- a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__transitive_closure@datalog_program.snap
+++ b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__transitive_closure@datalog_program.snap
@@ -9,7 +9,7 @@ fn main() {
             use hydroflow::{var_expr, var_args};
             let mut df = hydroflow::scheduled::graph::Hydroflow::new();
             df.__assign_meta_graph(
-                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"union ()\"},\"version\":1},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Operator\":\"tee ()\"},\"version\":1},{\"value\":{\"Operator\":\"source_stream (edges)\"},\"version\":1},{\"value\":{\"Operator\":\"source_stream (seed_reachable)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | reachable . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ ,) | ((row . 0 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ ,) , _) | (g . 0 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"join :: < 'tick , 'tick , hydroflow :: compiled :: pull :: HalfMultisetJoinState > ()\"},\"version\":1},{\"value\":{\"Operator\":\"map (| kv : ((_ ,) , (() , (_ ,))) | (kv . 0 . 0 , kv . 1 . 1 . 0 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| _v : (_ ,) | ((_v . 0 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| _v : (_ , _ ,) | ((_v . 0 ,) , (_v . 1 ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 1 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ ,) , _) | (g . 0 ,))\"},\"version\":1}],\"edge_types\":[{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":3},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":1},{\"value\":\"Value\",\"version\":1}],\"graph\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":2,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":6,\"version\":3},{\"idx\":17,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":8,\"version\":1},{\"idx\":9,\"version\":1}],\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":9,\"version\":1},{\"idx\":12,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":14,\"version\":1},{\"idx\":7,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":13,\"version\":1},{\"idx\":14,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":5,\"version\":1},{\"idx\":13,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":15,\"version\":1},{\"idx\":16,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":17,\"version\":1},{\"idx\":15,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":9,\"version\":1},{\"idx\":6,\"version\":3}],\"version\":3},{\"value\":[{\"idx\":18,\"version\":1},{\"idx\":15,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":2,\"version\":1},{\"idx\":18,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":20,\"version\":1},{\"idx\":7,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":19,\"version\":1},{\"idx\":20,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":16,\"version\":1},{\"idx\":19,\"version\":1}],\"version\":1}],\"ports\":[{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":[{\"Int\":\"0\"},\"Elided\"],\"version\":1},{\"value\":[\"Elided\",{\"Int\":\"0\"}],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",{\"Int\":\"0\"}],\"version\":1},{\"value\":[{\"Int\":\"1\"},\"Elided\"],\"version\":3},{\"value\":[\"Elided\",{\"Int\":\"1\"}],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",{\"Int\":\"1\"}],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":1}],\"node_subgraph\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1},{\"idx\":13,\"version\":1},{\"idx\":14,\"version\":1},{\"idx\":17,\"version\":1},{\"idx\":18,\"version\":1},{\"idx\":15,\"version\":1},{\"idx\":16,\"version\":1},{\"idx\":19,\"version\":1},{\"idx\":20,\"version\":1},{\"idx\":7,\"version\":1},{\"idx\":8,\"version\":1},{\"idx\":9,\"version\":1},{\"idx\":12,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"edges_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"seed_reachable_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":\"reachable_insert\",\"version\":1},{\"value\":\"reachable_insert\",\"version\":1},{\"value\":\"reachable\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"join_0\",\"version\":1},{\"value\":\"join_0\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"star_ord\":1,\"lattice_flow_type\":null},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"star_ord\":6,\"lattice_flow_type\":null},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"star_ord\":6,\"lattice_flow_type\":null},\"version\":1},{\"value\":{\"star_ord\":6,\"lattice_flow_type\":null},\"version\":1},{\"value\":{\"star_ord\":6,\"lattice_flow_type\":null},\"version\":1}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
+                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"union ()\"},\"version\":1},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Operator\":\"tee ()\"},\"version\":1},{\"value\":{\"Operator\":\"source_stream (edges)\"},\"version\":1},{\"value\":{\"Operator\":\"source_stream (seed_reachable)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | reachable . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ ,) | ((row . 0 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ ,) , _) | (g . 0 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"join :: < 'tick , 'tick , hydroflow :: compiled :: pull :: HalfMultisetJoinState > ()\"},\"version\":1},{\"value\":{\"Operator\":\"map (| kv : ((_ ,) , (() , (_ ,))) | (kv . 0 . 0 , kv . 1 . 1 . 0 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| _v : (_ ,) | ((_v . 0 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| _v : (_ , _ ,) | ((_v . 0 ,) , (_v . 1 ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | ((row . 1 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ ,) , _) | (g . 0 ,))\"},\"version\":1}],\"graph\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":2,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":6,\"version\":3},{\"idx\":17,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":8,\"version\":1},{\"idx\":9,\"version\":1}],\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":9,\"version\":1},{\"idx\":12,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":14,\"version\":1},{\"idx\":7,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":13,\"version\":1},{\"idx\":14,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":5,\"version\":1},{\"idx\":13,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":15,\"version\":1},{\"idx\":16,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":17,\"version\":1},{\"idx\":15,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":9,\"version\":1},{\"idx\":6,\"version\":3}],\"version\":3},{\"value\":[{\"idx\":18,\"version\":1},{\"idx\":15,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":2,\"version\":1},{\"idx\":18,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":20,\"version\":1},{\"idx\":7,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":19,\"version\":1},{\"idx\":20,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":16,\"version\":1},{\"idx\":19,\"version\":1}],\"version\":1}],\"ports\":[{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":[{\"Int\":\"0\"},\"Elided\"],\"version\":1},{\"value\":[\"Elided\",{\"Int\":\"0\"}],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",{\"Int\":\"0\"}],\"version\":1},{\"value\":[{\"Int\":\"1\"},\"Elided\"],\"version\":3},{\"value\":[\"Elided\",{\"Int\":\"1\"}],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",{\"Int\":\"1\"}],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":1}],\"node_subgraph\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":11,\"version\":1},{\"idx\":5,\"version\":1},{\"idx\":13,\"version\":1},{\"idx\":14,\"version\":1},{\"idx\":17,\"version\":1},{\"idx\":18,\"version\":1},{\"idx\":15,\"version\":1},{\"idx\":16,\"version\":1},{\"idx\":19,\"version\":1},{\"idx\":20,\"version\":1},{\"idx\":7,\"version\":1},{\"idx\":8,\"version\":1},{\"idx\":9,\"version\":1},{\"idx\":12,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"edges_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"seed_reachable_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":\"reachable_insert\",\"version\":1},{\"value\":\"reachable_insert\",\"version\":1},{\"value\":\"reachable\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"join_0\",\"version\":1},{\"value\":\"join_0\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"star_ord\":1,\"lattice_flow_type\":null},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"star_ord\":6,\"lattice_flow_type\":null},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"star_ord\":6,\"lattice_flow_type\":null},\"version\":1},{\"value\":{\"star_ord\":6,\"lattice_flow_type\":null},\"version\":1},{\"value\":{\"star_ord\":6,\"lattice_flow_type\":null},\"version\":1}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
             );
             df.__assign_diagnostics("[]");
             let (hoff_6v3_send, hoff_6v3_recv) = df
diff --git a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__triple_relation_join@datalog_program.snap b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__triple_relation_join@datalog_program.snap
index 30c46fb44cf3..a367c9cba8a7 100644
--- a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__triple_relation_join@datalog_program.snap
+++ b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__triple_relation_join@datalog_program.snap
@@ -9,7 +9,7 @@ fn main() {
             use hydroflow::{var_expr, var_args};
             let mut df = hydroflow::scheduled::graph::Hydroflow::new();
             df.__assign_meta_graph(
-                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"source_stream (in1)\"},\"version\":1},{\"value\":{\"Operator\":\"source_stream (in2)\"},\"version\":1},{\"value\":{\"Operator\":\"source_stream (in3)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | out . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"join :: < 'tick , 'tick , hydroflow :: compiled :: pull :: HalfMultisetJoinState > 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+                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"source_stream (in1)\"},\"version\":1},{\"value\":{\"Operator\":\"source_stream (in2)\"},\"version\":1},{\"value\":{\"Operator\":\"source_stream (in3)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | out . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"join :: < 'tick , 'tick , hydroflow :: compiled :: pull :: HalfMultisetJoinState > 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             );
             df.__assign_diagnostics("[]");
             let mut sg_1v1_node_13v1_stream = {
diff --git a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__wildcard_fields@datalog_program.snap b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__wildcard_fields@datalog_program.snap
index 4277ca1668b3..b8bcfed5ef10 100644
--- a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__wildcard_fields@datalog_program.snap
+++ b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__wildcard_fields@datalog_program.snap
@@ -9,7 +9,7 @@ fn main() {
             use hydroflow::{var_expr, var_args};
             let mut df = hydroflow::scheduled::graph::Hydroflow::new();
             df.__assign_meta_graph(
-                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Operator\":\"tee ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"source_stream (input)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | out . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"join :: < 'tick , 'tick , hydroflow :: compiled :: pull :: HalfMultisetJoinState > ()\"},\"version\":1},{\"value\":{\"Operator\":\"map (| kv : ((_ ,) , ((_ ,) , (_ ,))) | (kv . 0 . 0 , kv . 1 . 0 . 0 , kv . 1 . 1 . 0 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| _v : (_ , _ ,) | ((_v . 0 ,) , (_v . 1 ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| _v : (_ , _ ,) | ((_v . 1 ,) , (_v . 0 ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ , _ ,) | ((row . 0 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ ,) , _) | (g . 0 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"value\":null,\"version\":0},{\"value\":{\"star_ord\":5,\"lattice_flow_type\":null},\"version\":1},{\"value\":{\"star_ord\":5,\"lattice_flow_type\":null},\"version\":1}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
+                "{\"nodes\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":2},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Operator\":\"tee ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"unique :: < 'tick > ()\"},\"version\":1},{\"value\":{\"Handoff\":{}},\"version\":3},{\"value\":{\"Operator\":\"source_stream (input)\"},\"version\":1},{\"value\":{\"Operator\":\"for_each (| v | out . send (v) . unwrap ())\"},\"version\":1},{\"value\":{\"Operator\":\"join :: < 'tick , 'tick , hydroflow :: compiled :: pull :: HalfMultisetJoinState > ()\"},\"version\":1},{\"value\":{\"Operator\":\"map (| kv : ((_ ,) , ((_ ,) , (_ ,))) | (kv . 0 . 0 , kv . 1 . 0 . 0 , kv . 1 . 1 . 0 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| _v : (_ , _ ,) | ((_v . 0 ,) , (_v . 1 ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| _v : (_ , _ ,) | ((_v . 1 ,) , (_v . 0 ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ , _ ,) | ((row . 0 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : ((_ ,) , _) | (g . 0 ,))\"},\"version\":1}],\"graph\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":2,\"version\":1},{\"idx\":3,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":14,\"version\":1},{\"idx\":5,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":6,\"version\":3},{\"idx\":11,\"version\":1}],\"version\":3},{\"value\":null,\"version\":2},{\"value\":[{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":9,\"version\":1},{\"idx\":10,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":11,\"version\":1},{\"idx\":9,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":3,\"version\":1},{\"idx\":6,\"version\":3}],\"version\":3},{\"value\":[{\"idx\":12,\"version\":1},{\"idx\":9,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":3,\"version\":1},{\"idx\":4,\"version\":3}],\"version\":3},{\"value\":[{\"idx\":4,\"version\":3},{\"idx\":12,\"version\":1}],\"version\":3},{\"value\":[{\"idx\":13,\"version\":1},{\"idx\":14,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":10,\"version\":1},{\"idx\":13,\"version\":1}],\"version\":1}],\"ports\":[{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":null,\"version\":0},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",{\"Int\":\"0\"}],\"version\":1},{\"value\":[{\"Int\":\"0\"},\"Elided\"],\"version\":3},{\"value\":[\"Elided\",{\"Int\":\"1\"}],\"version\":1},{\"value\":[{\"Int\":\"1\"},\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":3},{\"value\":[\"Elided\",\"Elided\"],\"version\":1},{\"value\":[\"Elided\",\"Elided\"],\"version\":1}],\"node_subgraph\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":null,\"version\":0},{\"value\":{\"idx\":1,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1},{\"value\":{\"idx\":2,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":7,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":3,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":11,\"version\":1},{\"idx\":12,\"version\":1},{\"idx\":9,\"version\":1},{\"idx\":10,\"version\":1},{\"idx\":13,\"version\":1},{\"idx\":14,\"version\":1},{\"idx\":5,\"version\":1},{\"idx\":8,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":0,\"version\":1},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"input_insert\",\"version\":1},{\"value\":\"input\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":\"out_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"join_0\",\"version\":1},{\"value\":\"join_0\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"star_ord\":5,\"lattice_flow_type\":null},\"version\":3},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"star_ord\":5,\"lattice_flow_type\":null},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"star_ord\":5,\"lattice_flow_type\":null},\"version\":1},{\"value\":{\"star_ord\":5,\"lattice_flow_type\":null},\"version\":1}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
             );
             df.__assign_diagnostics("[]");
             let (hoff_4v3_send, hoff_4v3_recv) = df
diff --git a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__wildcard_join_count@datalog_program.snap b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__wildcard_join_count@datalog_program.snap
index e608e101cafd..fa4cddc9ea9e 100644
--- a/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__wildcard_join_count@datalog_program.snap
+++ b/hydroflow_datalog_core/src/snapshots/hydroflow_datalog_core__tests__wildcard_join_count@datalog_program.snap
@@ -9,7 +9,7 @@ fn main() {
             use hydroflow::{var_expr, var_args};
             let mut df = hydroflow::scheduled::graph::Hydroflow::new();
             df.__assign_meta_graph(
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())\"},\"version\":1},{\"value\":{\"Operator\":\"join :: < 'tick , 'tick , hydroflow :: compiled :: pull :: HalfMultisetJoinState > ()\"},\"version\":1},{\"value\":{\"Operator\":\"map (| kv : ((_ ,) , ((_ ,) , ())) | (kv . 0 . 0 , kv . 1 . 0 . 0 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| _v : (_ , _ ,) | ((_v . 0 ,) , (_v . 1 ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| _v : (_ ,) | ((_v . 0 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | (() , (() ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"fold_keyed :: < 'tick , () , (Option < _ > ,) > (| | (None ,) , | old : & mut (Option < _ > ,) , val : (_ ,) | { old . 0 = if let Some (prev) = old . 0 . take () { Some (prev + 1) } else { Some (1) } ; })\"},\"version\":1},{\"value\":{\"Operator\":\"map (| (g , a) : (() , _) | (a . 0 . unwrap () ,))\"},\"version\":1},{\"value\":{\"Operator\":\"join :: < 'tick , 'tick , hydroflow :: compiled :: pull :: HalfMultisetJoinState > ()\"},\"version\":1},{\"value\":{\"Operator\":\"map (| kv : ((_ ,) , ((_ ,) , ())) | (kv . 0 . 0 , kv . 1 . 0 . 0 ,))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| _v : (_ , _ ,) | ((_v . 0 ,) , (_v . 1 ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| _v : (_ ,) | ((_v . 0 ,) , ()))\"},\"version\":1},{\"value\":{\"Operator\":\"map (| row : (_ , _ ,) | (() , ((row . 0) ,)))\"},\"version\":1},{\"value\":{\"Operator\":\"fold_keyed :: < 'tick , () , (Option < _ > ,) > (| | (None ,) , | old : & mut (Option < _ > ,) , val : (_ ,) | { old . 0 = if let Some (prev) = old . 0 . take () { Some ({ let prev : (hydroflow :: rustc_hash :: FxHashSet < _ > , _) = prev ; let mut set : hydroflow :: rustc_hash :: FxHashSet < _ > = prev . 0 ; if set . insert (val . 0) { (set , prev . 1 + 1) } else { (set , prev . 1) } }) } else { Some ({ let mut set = hydroflow :: rustc_hash :: FxHashSet :: < _ > :: default () ; set . insert (val . 0) ; (set , 1) }) } ; 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,{\"value\":{\"idx\":5,\"version\":1},\"version\":1},{\"value\":{\"idx\":5,\"version\":1},\"version\":1},{\"value\":{\"idx\":3,\"version\":1},\"version\":1},{\"value\":{\"idx\":3,\"version\":1},\"version\":1},{\"value\":{\"idx\":6,\"version\":1},\"version\":1},{\"value\":{\"idx\":6,\"version\":1},\"version\":1},{\"value\":{\"idx\":6,\"version\":1},\"version\":1},{\"value\":{\"idx\":6,\"version\":1},\"version\":1},{\"value\":{\"idx\":6,\"version\":1},\"version\":1},{\"value\":{\"idx\":4,\"version\":1},\"version\":1},{\"value\":{\"idx\":4,\"version\":1},\"version\":1}],\"subgraph_nodes\":[{\"value\":null,\"version\":0},{\"value\":[{\"idx\":13,\"version\":1},{\"idx\":2,\"version\":1},{\"idx\":3,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":14,\"version\":1},{\"idx\":5,\"version\":1},{\"idx\":6,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":22,\"version\":1},{\"idx\":23,\"version\":1},{\"idx\":8,\"version\":1},{\"idx\":15,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":29,\"version\":1},{\"idx\":30,\"version\":1},{\"idx\":11,\"version\":1},{\"idx\":16,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":19,\"version\":1},{\"idx\":20,\"version\":1},{\"idx\":17,\"version\":1},{\"idx\":18,\"version\":1},{\"idx\":21,\"version\":1}],\"version\":1},{\"value\":[{\"idx\":26,\"version\":1},{\"idx\":27,\"version\":1},{\"idx\":24,\"version\":1},{\"idx\":25,\"version\":1},{\"idx\":28,\"version\":1}],\"version\":1}],\"subgraph_stratum\":[{\"value\":null,\"version\":0},{\"value\":0,\"version\":1},{\"value\":0,\"version\":1},{\"value\":1,\"version\":1},{\"value\":1,\"version\":1},{\"value\":0,\"version\":1},{\"value\":0,\"version\":1}],\"node_singleton_references\":[{\"value\":null,\"version\":0},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1},{\"value\":[],\"version\":1}],\"node_varnames\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"ints1_insert\",\"version\":1},{\"value\":\"ints1\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":\"ints2_insert\",\"version\":1},{\"value\":\"ints2\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":\"result_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"result2_insert\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"join_0\",\"version\":1},{\"value\":\"join_0\",\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":\"join_1\",\"version\":1},{\"value\":\"join_1\",\"version\":1}],\"flow_props\":[{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"star_ord\":6,\"lattice_flow_type\":null},\"version\":3},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"star_ord\":14,\"lattice_flow_type\":null},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"star_ord\":14,\"lattice_flow_type\":null},\"version\":3},{\"value\":{\"star_ord\":14,\"lattice_flow_type\":null},\"version\":1},{\"value\":{\"star_ord\":6,\"lattice_flow_type\":null},\"version\":1},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":null,\"version\":0},{\"value\":{\"star_ord\":14,\"lattice_flow_type\":null},\"version\":3},{\"value\":null,\"version\":0},{\"value\":{\"star_ord\":6,\"lattice_flow_type\":null},\"version\":3},{\"value\":{\"star_ord\":6,\"lattice_flow_type\":null},\"version\":1}],\"subgraph_laziness\":[{\"value\":null,\"version\":0}]}",
             );
             df.__assign_diagnostics("[]");
             let (hoff_1v3_send, hoff_1v3_recv) = df
diff --git a/hydroflow_lang/src/graph/flat_graph_builder.rs b/hydroflow_lang/src/graph/flat_graph_builder.rs
index 038abd9ae059..b57f7e242705 100644
--- a/hydroflow_lang/src/graph/flat_graph_builder.rs
+++ b/hydroflow_lang/src/graph/flat_graph_builder.rs
@@ -325,17 +325,13 @@ impl FlatGraphBuilder {
 
         for (other_edge_id, (other_src, other_dst)) in other.edges() {
             let (src_port, dst_port) = other.edge_ports(other_edge_id);
-            let edge_type = other.edge_type(other_edge_id);
 
-            let new_edge_id = self.flat_graph.insert_edge(
+            let _new_edge_id = self.flat_graph.insert_edge(
                 *node_mapping.get(&other_src).unwrap(),
                 src_port.clone(),
                 *node_mapping.get(&other_dst).unwrap(),
                 dst_port.clone(),
             );
-            if let Some(edge_type) = edge_type {
-                self.flat_graph.insert_edge_type(new_edge_id, edge_type);
-            }
         }
 
         ends
@@ -538,7 +534,6 @@ impl FlatGraphBuilder {
     /// Process operators and emit operator errors.
     fn process_operator_errors(&mut self) {
         self.make_operator_instances();
-        self.insert_operator_edge_types();
         self.check_operator_errors();
     }
 
@@ -548,35 +543,6 @@ impl FlatGraphBuilder {
             .insert_node_op_insts_all(&mut self.diagnostics);
     }
 
-    /// Find and insert operator [`GraphEdgeType`]s for edges.
-    fn insert_operator_edge_types(&mut self) {
-        for edge_id in self.flat_graph.edge_ids().collect::<Vec<_>>() {
-            let (src, _dst) = self.flat_graph.edge(edge_id);
-            match self.flat_graph.node(src) {
-                GraphNode::Operator(_) => {
-                    let Some(src_op_inst) = self.flat_graph.node_op_inst(src) else {
-                        continue;
-                    };
-                    let (src_port, _dst_port) = self.flat_graph.edge_ports(edge_id);
-                    let edge_type = (src_op_inst.op_constraints.output_edgetype_fn)(src_port);
-                    let _old_edge_type = self.flat_graph.insert_edge_type(edge_id, edge_type);
-                    // _old_edge_type should usually be `None`? Except from modules?
-                }
-                GraphNode::Handoff { .. } => {
-                    // TODO(mingwei)
-                    // // This is still a flat graph - there should generally not be handoffs.
-                    // // Handoffs can only handle value edges.
-                    // self.flat_graph
-                    //     .insert_edge_type(edge_id, GraphEdgeType::Value);
-                    unimplemented!();
-                }
-                GraphNode::ModuleBoundary { .. } => {
-                    // No-op. Handle when the module is connected.
-                }
-            }
-        }
-    }
-
     /// Validates that operators have valid number of inputs, outputs, & arguments.
     /// Adds errors (and warnings) to `self.diagnostics`.
     fn check_operator_errors(&mut self) {
@@ -768,52 +734,6 @@ impl FlatGraphBuilder {
                         &mut self.diagnostics,
                     );
 
-                    // Check edge types.
-                    {
-                        for (edge_id, prev_node_id) in self.flat_graph.node_predecessors(node_id) {
-                            {
-                                // Module boundaries will not have an edge type.
-                                if matches!(
-                                    self.flat_graph.node(prev_node_id),
-                                    GraphNode::ModuleBoundary { .. }
-                                ) {
-                                    continue;
-                                }
-                                // Skip if previous node is unknown. // TODO(mingwei): handle explicit handoffs if we add them.
-                                if self.flat_graph.node_op_inst(prev_node_id).is_none() {
-                                    continue;
-                                }
-                            }
-
-                            let port_in = self.flat_graph.edge_ports(edge_id).0;
-                            let Some(edge_type_expected) =
-                                (op_constraints.input_edgetype_fn)(port_in)
-                            else {
-                                // `None` means any edge type is allowed.
-                                continue;
-                            };
-                            let Some(edge_type_actual) = self.flat_graph.edge_type(edge_id) else {
-                                self.diagnostics.push(Diagnostic::spanned(
-                                    port_in.span(),
-                                    Level::Error,
-                                    "Operator input has no edge type, this is a Hydroflow bug.",
-                                ));
-                                continue;
-                            };
-                            if edge_type_expected != edge_type_actual {
-                                self.diagnostics.push(Diagnostic::spanned(
-                                    port_in.span(),
-                                    Level::Error,
-                                    format!(
-                                        "Operator requires a {:?} edge type input, but received a {:?} edge type input.",
-                                        edge_type_expected,
-                                        edge_type_actual,
-                                    ),
-                                ));
-                            }
-                        }
-                    }
-
                     // Check that singleton references actually reference *stateful* operators.
                     {
                         let singletons_resolved =
diff --git a/hydroflow_lang/src/graph/flat_to_partitioned.rs b/hydroflow_lang/src/graph/flat_to_partitioned.rs
index 800e31a76fe4..6ff0b2238ca1 100644
--- a/hydroflow_lang/src/graph/flat_to_partitioned.rs
+++ b/hydroflow_lang/src/graph/flat_to_partitioned.rs
@@ -113,15 +113,6 @@ fn find_subgraph_unionfind(
             if subgraph_unionfind.same_set(src, dst) {
                 // Note that the _edge_ `edge_id` might not be in the subgraph even when both `src` and `dst` are. This prevents case 2.
                 // Handoffs will be inserted later for this self-loop.
-                if !partitioned_graph
-                    .edge_type(edge_id)
-                    .unwrap()
-                    .affects_in_out_graph_ownership()
-                {
-                    // However self-loops are ok in the case of reference edges.
-                    // (This may hit trigger times for the same reference edge).
-                    progress |= handoff_edges.remove(&edge_id);
-                }
                 continue;
             }
 
@@ -143,7 +134,7 @@ fn find_subgraph_unionfind(
                 // within a single subgraph.
                 subgraph_unionfind.union(src, dst);
                 assert!(handoff_edges.remove(&edge_id));
-                progress |= true;
+                progress = true;
             }
         }
     }
@@ -514,26 +505,10 @@ fn separate_external_inputs(partitioned_graph: &mut HydroflowGraph) {
     }
 }
 
-/// Ensure edgetypes are set.
-pub fn assert_edgetypes_set(flat_graph: &HydroflowGraph) {
-    let missing_edgetypes = flat_graph
-        .edge_ids()
-        .filter(|&edge_id| flat_graph.edge_type(edge_id).is_none())
-        .count();
-    assert!(
-        0 == missing_edgetypes,
-        "`partition_graph` requires edge types to be set, but was unset for {} out of {} edges. This is a Hydroflow bug.",
-        missing_edgetypes,
-        flat_graph.edge_ids().len(),
-    );
-}
-
 /// Main method for this module. Partions a flat [`HydroflowGraph`] into one with subgraphs.
 ///
 /// Returns an error if a negative cycle exists in the graph. Negative cycles prevent partioning.
 pub fn partition_graph(flat_graph: HydroflowGraph) -> Result<HydroflowGraph, Diagnostic> {
-    assert_edgetypes_set(&flat_graph);
-
     // Pre-find barrier crossers (input edges with a `DelayType`).
     let mut barrier_crossers = find_barrier_crossers(&flat_graph);
     let mut partitioned_graph = flat_graph;
diff --git a/hydroflow_lang/src/graph/hydroflow_graph.rs b/hydroflow_lang/src/graph/hydroflow_graph.rs
index bb8992005753..6e3fe03adede 100644
--- a/hydroflow_lang/src/graph/hydroflow_graph.rs
+++ b/hydroflow_lang/src/graph/hydroflow_graph.rs
@@ -14,9 +14,9 @@ use syn::spanned::Spanned;
 use super::graph_write::{Dot, GraphWrite, Mermaid};
 use super::ops::{find_op_op_constraints, OperatorWriteOutput, WriteContextArgs, OPERATORS};
 use super::{
-    get_operator_generics, Color, DiMulGraph, FlowProps, GraphEdgeId, GraphEdgeType, GraphNode,
-    GraphNodeId, GraphSubgraphId, OperatorInstance, PortIndexValue, Varname, CONTEXT,
-    HANDOFF_NODE_STR, HYDROFLOW,
+    get_operator_generics, Color, DiMulGraph, FlowProps, GraphEdgeId, GraphNode, GraphNodeId,
+    GraphSubgraphId, OperatorInstance, PortIndexValue, Varname, CONTEXT, HANDOFF_NODE_STR,
+    HYDROFLOW,
 };
 use crate::diagnostic::{Diagnostic, Level};
 use crate::graph::ops::{null_write_iterator_fn, DelayType};
@@ -36,8 +36,6 @@ use crate::process_singletons;
 pub struct HydroflowGraph {
     /// Each node type (operator or handoff).
     nodes: SlotMap<GraphNodeId, GraphNode>,
-    /// Edge types
-    edge_types: SecondaryMap<GraphEdgeId, GraphEdgeType>,
 
     /// Instance data corresponding to each operator node.
     /// This field will be empty after deserialization.
@@ -384,12 +382,6 @@ impl HydroflowGraph {
         self.ports
             .insert(e1, (PortIndexValue::Elided(span), dst_idx));
 
-        // Duplicate edge types.
-        if let Some(edge_type) = self.edge_types.remove(edge_id) {
-            self.insert_edge_type(e0, edge_type);
-            self.insert_edge_type(e1, edge_type);
-        }
-
         (node_id, e1)
     }
 
@@ -420,16 +412,6 @@ impl HydroflowGraph {
         let (src_port, _) = self.ports.remove(pred_edge_id).unwrap();
         let (_, dst_port) = self.ports.remove(succ_edge_id).unwrap();
         self.ports.insert(new_edge_id, (src_port, dst_port));
-
-        let pred_edge_type = self.edge_types.remove(pred_edge_id);
-        let succ_edge_type = self.edge_types.remove(succ_edge_id);
-        assert_eq!(
-            pred_edge_type, succ_edge_type,
-            "Edge type should be the same before and after a union/tee."
-        );
-        if let Some(edge_type) = pred_edge_type {
-            self.insert_edge_type(new_edge_id, edge_type);
-        }
     }
 
     /// Helper method: determine the "color" (pull vs push) of a node based on its in and out degree,
@@ -442,23 +424,9 @@ impl HydroflowGraph {
             return Some(Color::Hoff);
         }
         // In-degree excluding ref-edges.
-        let inn_degree = self
-            .node_predecessor_edges(node_id)
-            .filter(|&edge_id| {
-                self.edge_type(edge_id)
-                    .expect("Edge type should be set, this is a Hydroflow bug.")
-                    .affects_in_out_graph_ownership()
-            })
-            .count();
+        let inn_degree = self.node_predecessor_edges(node_id).count();
         // Out-degree excluding ref-edges.
-        let out_degree = self
-            .node_successor_edges(node_id)
-            .filter(|&edge_id| {
-                self.edge_type(edge_id)
-                    .expect("Edge type should be set, this is a Hydroflow bug.")
-                    .affects_in_out_graph_ownership()
-            })
-            .count();
+        let out_degree = self.node_successor_edges(node_id).count();
 
         match (inn_degree, out_degree) {
             (0, 0) => None, // Generally should not happen, "Degenerate subgraph detected".
@@ -576,15 +544,11 @@ impl HydroflowGraph {
 
             let (src, _) = self.edge(pred_edge);
             let (_, dst) = self.edge(succ_edge);
-            let edge_type = self.edge_type(pred_edge);
             self.remove_edge(pred_edge);
             self.remove_edge(succ_edge);
 
             let new_edge_id = self.graph.insert_edge(src, dst);
             self.ports.insert(new_edge_id, (pred_port, succ_port));
-            if let Some(edge_type) = edge_type {
-                self.edge_types.insert(new_edge_id, edge_type);
-            }
         }
 
         self.graph.remove_vertex(mod_bound_node);
@@ -602,11 +566,6 @@ impl HydroflowGraph {
         (src, dst)
     }
 
-    /// Gets the type of the edge.
-    pub fn edge_type(&self, edge_id: GraphEdgeId) -> Option<GraphEdgeType> {
-        self.edge_types.get(edge_id).copied()
-    }
-
     /// Get the source and destination ports for an edge: `(src &PortIndexValue, dst &PortIndexValue)`.
     pub fn edge_ports(&self, edge_id: GraphEdgeId) -> (&PortIndexValue, &PortIndexValue) {
         let (src_port, dst_port) = self.ports.get(edge_id).expect("Edge not found.");
@@ -642,20 +601,10 @@ impl HydroflowGraph {
         edge_id
     }
 
-    /// Set the edge type for an edge.
-    pub fn insert_edge_type(
-        &mut self,
-        edge: GraphEdgeId,
-        edge_type: GraphEdgeType,
-    ) -> Option<GraphEdgeType> {
-        self.edge_types.insert(edge, edge_type)
-    }
-
     /// Removes an edge and its corresponding ports and edge type info.
     pub fn remove_edge(&mut self, edge: GraphEdgeId) {
         let (_src, _dst) = self.graph.remove_edge(edge).unwrap();
         let (_src_port, _dst_port) = self.ports.remove(edge).unwrap();
-        let _edge_type = self.edge_types.remove(edge);
     }
 }
 
@@ -791,11 +740,6 @@ impl HydroflowGraph {
         Ident::new(&*name, span)
     }
 
-    /// For reference edges. Helper to generate a deterministic `Ident` for the given [reference] edge.
-    fn edge_as_ident(&self, edge_id: GraphEdgeId, span: Span) -> Ident {
-        Ident::new(&*format!("edge_{:?}", edge_id.data()), span)
-    }
-
     /// For per-node singleton references. Helper to generate a deterministic `Ident` for the given node.
     fn node_as_singleton_ident(&self, node_id: GraphNodeId, span: Span) -> Ident {
         Ident::new(&format!("singleton_op_{:?}", node_id.data()), span)
@@ -962,22 +906,10 @@ impl HydroflowGraph {
                             input_edges.sort();
 
                             let inputs = input_edges
-                                .iter()
-                                .map(|&(_port, edge_id)| match self.edge_type(edge_id).unwrap() {
-                                    GraphEdgeType::Value => {
-                                        let (pred, _) = self.edge(edge_id);
-                                        self.node_as_ident(pred, true)
-                                    }
-                                    GraphEdgeType::Reference => {
-                                        self.edge_as_ident(edge_id, op_span)
-                                    }
-                                })
-                                .collect::<Vec<_>>();
-                            let input_edgetypes = input_edges
                                 .iter()
                                 .map(|&(_port, edge_id)| {
-                                    self.edge_type(edge_id)
-                                        .expect("Unset edge_type, this is a bug.")
+                                    let (pred, _) = self.edge(edge_id);
+                                    self.node_as_ident(pred, true)
                                 })
                                 .collect::<Vec<_>>();
 
@@ -991,22 +923,10 @@ impl HydroflowGraph {
                             output_edges.sort();
 
                             let outputs = output_edges
-                                .iter()
-                                .map(|&(_port, edge_id)| match self.edge_type(edge_id).unwrap() {
-                                    GraphEdgeType::Value => {
-                                        let (_, succ) = self.edge(edge_id);
-                                        self.node_as_ident(succ, false)
-                                    }
-                                    GraphEdgeType::Reference => {
-                                        self.edge_as_ident(edge_id, op_span)
-                                    }
-                                })
-                                .collect::<Vec<_>>();
-                            let output_edgetypes = output_edges
                                 .iter()
                                 .map(|&(_port, edge_id)| {
-                                    self.edge_type(edge_id)
-                                        .expect("Unset edge_type, this is a bug.")
+                                    let (_, succ) = self.edge(edge_id);
+                                    self.node_as_ident(succ, false)
                                 })
                                 .collect::<Vec<_>>();
 
@@ -1057,8 +977,6 @@ impl HydroflowGraph {
                                 is_pull,
                                 inputs: &*inputs,
                                 outputs: &*outputs,
-                                input_edgetypes: &*input_edgetypes,
-                                output_edgetypes: &*output_edgetypes,
                                 singleton_output_ident,
                                 op_name,
                                 op_inst,
diff --git a/hydroflow_lang/src/graph/mod.rs b/hydroflow_lang/src/graph/mod.rs
index 27755afdb125..b17a4599e415 100644
--- a/hydroflow_lang/src/graph/mod.rs
+++ b/hydroflow_lang/src/graph/mod.rs
@@ -151,24 +151,6 @@ impl std::fmt::Debug for GraphNode {
     }
 }
 
-/// The type of the Hydroflow graph edge.
-#[derive(Clone, Copy, Debug, Serialize, Deserialize, PartialEq, Eq)]
-pub enum GraphEdgeType {
-    /// Standard, pass by value, iterator ownership edges.
-    Value,
-    /// State passed by reference.
-    Reference,
-}
-impl GraphEdgeType {
-    /// Returns if this affects ownership for the sake of subgraph partitioning into in-out trees.
-    pub fn affects_in_out_graph_ownership(self) -> bool {
-        match self {
-            GraphEdgeType::Value => true,
-            GraphEdgeType::Reference => false,
-        }
-    }
-}
-
 /// Meta-data relating to operators which may be useful throughout the compilation process.
 ///
 /// This data can be generated from the graph, but it is useful to have it readily available
diff --git a/hydroflow_lang/src/graph/ops/_lattice_fold_batch.rs b/hydroflow_lang/src/graph/ops/_lattice_fold_batch.rs
index 13e0ef089c2f..b41b639a0fc9 100644
--- a/hydroflow_lang/src/graph/ops/_lattice_fold_batch.rs
+++ b/hydroflow_lang/src/graph/ops/_lattice_fold_batch.rs
@@ -2,7 +2,7 @@ use quote::{quote_spanned, ToTokens};
 use syn::parse_quote;
 
 use super::{
-    DelayType, GraphEdgeType, OpInstGenerics, OperatorCategory, OperatorConstraints,
+    DelayType, OpInstGenerics, OperatorCategory, OperatorConstraints,
     OperatorInstance, OperatorWriteOutput, PortListSpec, WriteContextArgs,
     LATTICE_FOLD_REDUCE_FLOW_PROP_FN, RANGE_0, RANGE_1,
 };
@@ -46,8 +46,6 @@ pub const _LATTICE_FOLD_BATCH: OperatorConstraints = OperatorConstraints {
     ports_inn: Some(|| PortListSpec::Fixed(parse_quote! { input, signal })),
     ports_out: None,
     input_delaytype_fn: |_| Some(DelayType::MonotoneAccum),
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     // kind of like tick-based lattice_fold(), this is batch-at-a-time
     flow_prop_fn: Some(LATTICE_FOLD_REDUCE_FLOW_PROP_FN),
     write_fn: |wc @ &WriteContextArgs {
diff --git a/hydroflow_lang/src/graph/ops/_lattice_join_fused_join.rs b/hydroflow_lang/src/graph/ops/_lattice_join_fused_join.rs
index d0ea1c5d5a65..d10cdc19a3ee 100644
--- a/hydroflow_lang/src/graph/ops/_lattice_join_fused_join.rs
+++ b/hydroflow_lang/src/graph/ops/_lattice_join_fused_join.rs
@@ -3,7 +3,7 @@ use syn::parse_quote;
 use syn::spanned::Spanned;
 
 use super::{
-    DelayType, GraphEdgeType, OpInstGenerics, OperatorCategory, OperatorConstraints,
+    DelayType, OpInstGenerics, OperatorCategory, OperatorConstraints,
     OperatorInstance, OperatorWriteOutput, WriteContextArgs, RANGE_1,
 };
 
@@ -89,8 +89,6 @@ pub const _LATTICE_JOIN_FUSED_JOIN: OperatorConstraints = OperatorConstraints {
     ports_inn: Some(|| super::PortListSpec::Fixed(parse_quote! { 0, 1 })),
     ports_out: None,
     input_delaytype_fn: |_| Some(DelayType::MonotoneAccum),
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/anti_join.rs b/hydroflow_lang/src/graph/ops/anti_join.rs
index c366f604b076..2ed3b6d56392 100644
--- a/hydroflow_lang/src/graph/ops/anti_join.rs
+++ b/hydroflow_lang/src/graph/ops/anti_join.rs
@@ -2,7 +2,7 @@ use quote::{quote_spanned, ToTokens};
 use syn::parse_quote;
 
 use super::{
-    DelayType, GraphEdgeType, OpInstGenerics, OperatorCategory, OperatorConstraints,
+    DelayType, OpInstGenerics, OperatorCategory, OperatorConstraints,
     OperatorInstance, OperatorWriteOutput, Persistence, PortIndexValue, WriteContextArgs, RANGE_0,
     RANGE_1,
 };
@@ -42,8 +42,6 @@ pub const ANTI_JOIN: OperatorConstraints = OperatorConstraints {
         }
         _else => None,
     },
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/anti_join_multiset.rs b/hydroflow_lang/src/graph/ops/anti_join_multiset.rs
index b804231e582c..a21519c31dd8 100644
--- a/hydroflow_lang/src/graph/ops/anti_join_multiset.rs
+++ b/hydroflow_lang/src/graph/ops/anti_join_multiset.rs
@@ -2,7 +2,7 @@ use quote::{quote_spanned, ToTokens};
 use syn::parse_quote;
 
 use super::{
-    DelayType, GraphEdgeType, OpInstGenerics, OperatorCategory, OperatorConstraints,
+    DelayType, OpInstGenerics, OperatorCategory, OperatorConstraints,
     OperatorInstance, OperatorWriteOutput, Persistence, PortIndexValue, WriteContextArgs, RANGE_0,
     RANGE_1,
 };
@@ -44,8 +44,6 @@ pub const ANTI_JOIN_MULTISET: OperatorConstraints = OperatorConstraints {
         }
         _else => None,
     },
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/assert.rs b/hydroflow_lang/src/graph/ops/assert.rs
index b458beb5429b..ce52e7e2e5af 100644
--- a/hydroflow_lang/src/graph/ops/assert.rs
+++ b/hydroflow_lang/src/graph/ops/assert.rs
@@ -1,7 +1,7 @@
 use syn::parse_quote_spanned;
 
 use super::{
-    GraphEdgeType, OperatorCategory, OperatorConstraints, WriteContextArgs, RANGE_0, RANGE_1,
+    OperatorCategory, OperatorConstraints, WriteContextArgs, RANGE_0, RANGE_1,
 };
 
 /// > 1 input stream, 1 optional output stream
@@ -28,10 +28,7 @@ pub const ASSERT: OperatorConstraints = OperatorConstraints {
     has_singleton_output: false,
     ports_inn: None,
     ports_out: None,
-    input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
-    flow_prop_fn: None,
+    input_delaytype_fn: |_| None,    flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    op_span, arguments, ..
                },
diff --git a/hydroflow_lang/src/graph/ops/assert_eq.rs b/hydroflow_lang/src/graph/ops/assert_eq.rs
index dd0460941895..a31610b19fb3 100644
--- a/hydroflow_lang/src/graph/ops/assert_eq.rs
+++ b/hydroflow_lang/src/graph/ops/assert_eq.rs
@@ -2,7 +2,7 @@ use quote::quote_spanned;
 use syn::parse_quote_spanned;
 
 use super::{
-    GraphEdgeType, OperatorCategory, OperatorConstraints, WriteContextArgs, RANGE_0, RANGE_1,
+    OperatorCategory, OperatorConstraints, WriteContextArgs, RANGE_0, RANGE_1,
 };
 
 /// > 1 input stream, 1 optional output stream
@@ -39,10 +39,7 @@ pub const ASSERT_EQ: OperatorConstraints = OperatorConstraints {
     has_singleton_output: false,
     ports_inn: None,
     ports_out: None,
-    input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
-    flow_prop_fn: None,
+    input_delaytype_fn: |_| None,    flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    context,
                    hydroflow,
diff --git a/hydroflow_lang/src/graph/ops/cross_join.rs b/hydroflow_lang/src/graph/ops/cross_join.rs
index 1acd75eea136..99f4c4c86e01 100644
--- a/hydroflow_lang/src/graph/ops/cross_join.rs
+++ b/hydroflow_lang/src/graph/ops/cross_join.rs
@@ -2,7 +2,7 @@ use quote::quote_spanned;
 use syn::parse_quote;
 
 use super::{
-    GraphEdgeType, OperatorCategory, OperatorConstraints, WriteContextArgs,
+    OperatorCategory, OperatorConstraints, WriteContextArgs,
     JOIN_CROSS_JOIN_FLOW_PROP_FN, RANGE_1,
 };
 
@@ -50,10 +50,7 @@ pub const CROSS_JOIN: OperatorConstraints = OperatorConstraints {
     has_singleton_output: false,
     ports_inn: Some(|| super::PortListSpec::Fixed(parse_quote! { 0, 1 })),
     ports_out: None,
-    input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
-    flow_prop_fn: Some(JOIN_CROSS_JOIN_FLOW_PROP_FN),
+    input_delaytype_fn: |_| None,    flow_prop_fn: Some(JOIN_CROSS_JOIN_FLOW_PROP_FN),
     write_fn: |wc @ &WriteContextArgs {
                    op_span,
                    ident,
diff --git a/hydroflow_lang/src/graph/ops/cross_join_multiset.rs b/hydroflow_lang/src/graph/ops/cross_join_multiset.rs
index 0ea45856fb22..e970d4114716 100644
--- a/hydroflow_lang/src/graph/ops/cross_join_multiset.rs
+++ b/hydroflow_lang/src/graph/ops/cross_join_multiset.rs
@@ -1,7 +1,7 @@
 use quote::quote_spanned;
 use syn::parse_quote;
 
-use super::{GraphEdgeType, OperatorCategory, OperatorConstraints, WriteContextArgs, RANGE_1};
+use super::{OperatorCategory, OperatorConstraints, WriteContextArgs, RANGE_1};
 
 /// > 2 input streams of type S and T, 1 output stream of type (S, T)
 ///
@@ -36,10 +36,7 @@ pub const CROSS_JOIN_MULTISET: OperatorConstraints = OperatorConstraints {
     has_singleton_output: false,
     ports_inn: Some(|| super::PortListSpec::Fixed(parse_quote! { 0, 1 })),
     ports_out: None,
-    input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
-    flow_prop_fn: None,
+    input_delaytype_fn: |_| None,    flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    op_span,
                    ident,
diff --git a/hydroflow_lang/src/graph/ops/defer_signal.rs b/hydroflow_lang/src/graph/ops/defer_signal.rs
index 4fa16712ae0e..98869579bb52 100644
--- a/hydroflow_lang/src/graph/ops/defer_signal.rs
+++ b/hydroflow_lang/src/graph/ops/defer_signal.rs
@@ -2,7 +2,7 @@ use quote::quote_spanned;
 use syn::parse_quote;
 
 use super::{
-    DelayType, GraphEdgeType, OperatorCategory, OperatorConstraints, OperatorWriteOutput,
+    DelayType, OperatorCategory, OperatorConstraints, OperatorWriteOutput,
     WriteContextArgs, RANGE_0, RANGE_1,
 };
 
@@ -36,10 +36,7 @@ pub const DEFER_SIGNAL: OperatorConstraints = OperatorConstraints {
     has_singleton_output: false,
     ports_inn: Some(|| super::PortListSpec::Fixed(parse_quote! { input, signal })),
     ports_out: None,
-    input_delaytype_fn: |_| Some(DelayType::Stratum),
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
-    flow_prop_fn: None,
+    input_delaytype_fn: |_| Some(DelayType::Stratum),    flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    context,
                    hydroflow,
diff --git a/hydroflow_lang/src/graph/ops/defer_tick.rs b/hydroflow_lang/src/graph/ops/defer_tick.rs
index 90dca52ed06f..68d25a65ad11 100644
--- a/hydroflow_lang/src/graph/ops/defer_tick.rs
+++ b/hydroflow_lang/src/graph/ops/defer_tick.rs
@@ -1,5 +1,5 @@
 use super::{
-    DelayType, GraphEdgeType, OperatorCategory, OperatorConstraints, IDENTITY_WRITE_FN, RANGE_0,
+    DelayType, OperatorCategory, OperatorConstraints, IDENTITY_WRITE_FN, RANGE_0,
     RANGE_1,
 };
 
@@ -72,8 +72,6 @@ pub const DEFER_TICK: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| Some(DelayType::Tick),
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: IDENTITY_WRITE_FN,
 };
diff --git a/hydroflow_lang/src/graph/ops/defer_tick_lazy.rs b/hydroflow_lang/src/graph/ops/defer_tick_lazy.rs
index d0f39a2aebdb..f902936e23bf 100644
--- a/hydroflow_lang/src/graph/ops/defer_tick_lazy.rs
+++ b/hydroflow_lang/src/graph/ops/defer_tick_lazy.rs
@@ -1,5 +1,5 @@
 use super::{
-    DelayType, GraphEdgeType, OperatorCategory, OperatorConstraints, IDENTITY_WRITE_FN, RANGE_0,
+    DelayType, OperatorCategory, OperatorConstraints, IDENTITY_WRITE_FN, RANGE_0,
     RANGE_1,
 };
 
@@ -20,8 +20,6 @@ pub const DEFER_TICK_LAZY: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| Some(DelayType::TickLazy),
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: IDENTITY_WRITE_FN,
 };
diff --git a/hydroflow_lang/src/graph/ops/demux.rs b/hydroflow_lang/src/graph/ops/demux.rs
index 7bd61865d6d2..9840f3bc3f93 100644
--- a/hydroflow_lang/src/graph/ops/demux.rs
+++ b/hydroflow_lang/src/graph/ops/demux.rs
@@ -6,7 +6,7 @@ use syn::spanned::Spanned;
 use syn::{Expr, Pat};
 
 use super::{
-    GraphEdgeType, OperatorCategory, OperatorConstraints, OperatorInstance, OperatorWriteOutput,
+    OperatorCategory, OperatorConstraints, OperatorInstance, OperatorWriteOutput,
     PortIndexValue, PortListSpec, WriteContextArgs, RANGE_0, RANGE_1,
 };
 use crate::diagnostic::{Diagnostic, Level};
@@ -55,10 +55,7 @@ pub const DEMUX: OperatorConstraints = OperatorConstraints {
     has_singleton_output: false,
     ports_inn: None,
     ports_out: Some(|| PortListSpec::Variadic),
-    input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
-    flow_prop_fn: None,
+    input_delaytype_fn: |_| None,    flow_prop_fn: None,
     write_fn: |&WriteContextArgs {
                    root,
                    op_span,
diff --git a/hydroflow_lang/src/graph/ops/demux_enum.rs b/hydroflow_lang/src/graph/ops/demux_enum.rs
index 5281eea69378..a6f7dcc851e5 100644
--- a/hydroflow_lang/src/graph/ops/demux_enum.rs
+++ b/hydroflow_lang/src/graph/ops/demux_enum.rs
@@ -3,7 +3,7 @@ use quote::{quote, quote_spanned};
 use syn::spanned::Spanned;
 
 use super::{
-    FlowPropArgs, GraphEdgeType, OpInstGenerics, OperatorCategory, OperatorConstraints,
+    FlowPropArgs, OpInstGenerics, OperatorCategory, OperatorConstraints,
     OperatorInstance, OperatorWriteOutput, PortIndexValue, PortListSpec, WriteContextArgs, RANGE_0,
     RANGE_1,
 };
@@ -50,10 +50,7 @@ pub const DEMUX_ENUM: OperatorConstraints = OperatorConstraints {
     has_singleton_output: false,
     ports_inn: None,
     ports_out: Some(|| PortListSpec::Variadic),
-    input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
-    flow_prop_fn: Some(|FlowPropArgs { flow_props_in, .. }, _diagnostics| {
+    input_delaytype_fn: |_| None,    flow_prop_fn: Some(|FlowPropArgs { flow_props_in, .. }, _diagnostics| {
         // Preserve input flow properties.
         Ok(vec![flow_props_in[0]])
     }),
diff --git a/hydroflow_lang/src/graph/ops/dest_file.rs b/hydroflow_lang/src/graph/ops/dest_file.rs
index 63874a131199..4312115340f7 100644
--- a/hydroflow_lang/src/graph/ops/dest_file.rs
+++ b/hydroflow_lang/src/graph/ops/dest_file.rs
@@ -2,7 +2,7 @@ use quote::quote_spanned;
 use syn::parse_quote_spanned;
 
 use super::{
-    make_missing_runtime_msg, GraphEdgeType, OperatorCategory, OperatorConstraints,
+    make_missing_runtime_msg, OperatorCategory, OperatorConstraints,
     OperatorWriteOutput, WriteContextArgs, RANGE_0, RANGE_1,
 };
 
@@ -35,8 +35,6 @@ pub const DEST_FILE: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/dest_sink.rs b/hydroflow_lang/src/graph/ops/dest_sink.rs
index f11e18203d2d..75daedf7b2ea 100644
--- a/hydroflow_lang/src/graph/ops/dest_sink.rs
+++ b/hydroflow_lang/src/graph/ops/dest_sink.rs
@@ -1,7 +1,7 @@
 use quote::quote_spanned;
 
 use super::{
-    GraphEdgeType, OperatorCategory, OperatorConstraints, OperatorWriteOutput, WriteContextArgs,
+    OperatorCategory, OperatorConstraints, OperatorWriteOutput, WriteContextArgs,
     RANGE_0, RANGE_1,
 };
 
@@ -96,8 +96,6 @@ pub const DEST_SINK: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/dest_sink_serde.rs b/hydroflow_lang/src/graph/ops/dest_sink_serde.rs
index 4a6dd0d53b9c..3d359176857c 100644
--- a/hydroflow_lang/src/graph/ops/dest_sink_serde.rs
+++ b/hydroflow_lang/src/graph/ops/dest_sink_serde.rs
@@ -1,7 +1,7 @@
 use quote::quote_spanned;
 
 use super::{
-    make_missing_runtime_msg, GraphEdgeType, OperatorCategory, OperatorConstraints,
+    make_missing_runtime_msg, OperatorCategory, OperatorConstraints,
     OperatorWriteOutput, WriteContextArgs, RANGE_0, RANGE_1,
 };
 
@@ -38,8 +38,6 @@ pub const DEST_SINK_SERDE: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/difference.rs b/hydroflow_lang/src/graph/ops/difference.rs
index cd03110b9847..a7074e264fdb 100644
--- a/hydroflow_lang/src/graph/ops/difference.rs
+++ b/hydroflow_lang/src/graph/ops/difference.rs
@@ -2,7 +2,7 @@ use quote::{quote_spanned, ToTokens};
 use syn::parse_quote;
 
 use super::{
-    DelayType, GraphEdgeType, OperatorCategory, OperatorConstraints, OperatorInstance,
+    DelayType, OperatorCategory, OperatorConstraints, OperatorInstance,
     OperatorWriteOutput, PortIndexValue, WriteContextArgs, RANGE_0, RANGE_1,
 };
 
@@ -42,8 +42,6 @@ pub const DIFFERENCE: OperatorConstraints = OperatorConstraints {
         }
         _else => None,
     },
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    op_span,
diff --git a/hydroflow_lang/src/graph/ops/difference_multiset.rs b/hydroflow_lang/src/graph/ops/difference_multiset.rs
index baaa54dcfeaa..6b4cf094f673 100644
--- a/hydroflow_lang/src/graph/ops/difference_multiset.rs
+++ b/hydroflow_lang/src/graph/ops/difference_multiset.rs
@@ -2,7 +2,7 @@ use quote::{quote_spanned, ToTokens};
 use syn::parse_quote;
 
 use super::{
-    DelayType, GraphEdgeType, OperatorCategory, OperatorConstraints, OperatorInstance,
+    DelayType, OperatorCategory, OperatorConstraints, OperatorInstance,
     OperatorWriteOutput, PortIndexValue, WriteContextArgs, RANGE_0, RANGE_1,
 };
 
@@ -43,8 +43,6 @@ pub const DIFFERENCE_MULTISET: OperatorConstraints = OperatorConstraints {
         }
         _else => None,
     },
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    op_span,
diff --git a/hydroflow_lang/src/graph/ops/enumerate.rs b/hydroflow_lang/src/graph/ops/enumerate.rs
index 4b66dd9fa132..ea020222bd7c 100644
--- a/hydroflow_lang/src/graph/ops/enumerate.rs
+++ b/hydroflow_lang/src/graph/ops/enumerate.rs
@@ -1,7 +1,7 @@
 use quote::quote_spanned;
 
 use super::{
-    GraphEdgeType, OpInstGenerics, OperatorCategory, OperatorConstraints, OperatorInstance,
+    OpInstGenerics, OperatorCategory, OperatorConstraints, OperatorInstance,
     OperatorWriteOutput, Persistence, WriteContextArgs, RANGE_0, RANGE_1,
 };
 use crate::diagnostic::{Diagnostic, Level};
@@ -35,8 +35,6 @@ pub const ENUMERATE: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/filter.rs b/hydroflow_lang/src/graph/ops/filter.rs
index 727524d462a8..c776f8281056 100644
--- a/hydroflow_lang/src/graph/ops/filter.rs
+++ b/hydroflow_lang/src/graph/ops/filter.rs
@@ -1,7 +1,7 @@
 use quote::quote_spanned;
 
 use super::{
-    FlowPropArgs, GraphEdgeType, OperatorCategory, OperatorConstraints, OperatorWriteOutput,
+    FlowPropArgs, OperatorCategory, OperatorConstraints, OperatorWriteOutput,
     WriteContextArgs, RANGE_0, RANGE_1,
 };
 
@@ -33,8 +33,6 @@ pub const FILTER: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: Some(|FlowPropArgs { flow_props_in, .. }, _diagnostics| {
         // Preserve input flow properties.
         Ok(vec![flow_props_in[0]])
diff --git a/hydroflow_lang/src/graph/ops/filter_map.rs b/hydroflow_lang/src/graph/ops/filter_map.rs
index 268aef958755..bfbf134a4ecd 100644
--- a/hydroflow_lang/src/graph/ops/filter_map.rs
+++ b/hydroflow_lang/src/graph/ops/filter_map.rs
@@ -1,7 +1,7 @@
 use quote::quote_spanned;
 
 use super::{
-    GraphEdgeType, OperatorCategory, OperatorConstraints, OperatorWriteOutput, WriteContextArgs,
+    OperatorCategory, OperatorConstraints, OperatorWriteOutput, WriteContextArgs,
     RANGE_0, RANGE_1,
 };
 
@@ -31,8 +31,6 @@ pub const FILTER_MAP: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |&WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/flat_map.rs b/hydroflow_lang/src/graph/ops/flat_map.rs
index 70d5d58f1770..e292cc175a27 100644
--- a/hydroflow_lang/src/graph/ops/flat_map.rs
+++ b/hydroflow_lang/src/graph/ops/flat_map.rs
@@ -1,7 +1,7 @@
 use quote::quote_spanned;
 
 use super::{
-    GraphEdgeType, OperatorCategory, OperatorConstraints, OperatorWriteOutput, WriteContextArgs,
+    OperatorCategory, OperatorConstraints, OperatorWriteOutput, WriteContextArgs,
     RANGE_0, RANGE_1,
 };
 
@@ -35,8 +35,6 @@ pub const FLAT_MAP: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |&WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/flatten.rs b/hydroflow_lang/src/graph/ops/flatten.rs
index 0a6e16d07d7d..4b745a28325e 100644
--- a/hydroflow_lang/src/graph/ops/flatten.rs
+++ b/hydroflow_lang/src/graph/ops/flatten.rs
@@ -1,7 +1,7 @@
 use quote::quote_spanned;
 
 use super::{
-    GraphEdgeType, OperatorCategory, OperatorConstraints, OperatorWriteOutput, WriteContextArgs,
+    OperatorCategory, OperatorConstraints, OperatorWriteOutput, WriteContextArgs,
     RANGE_0, RANGE_1,
 };
 
@@ -29,10 +29,7 @@ pub const FLATTEN: OperatorConstraints = OperatorConstraints {
     has_singleton_output: false,
     ports_inn: None,
     ports_out: None,
-    input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
-    flow_prop_fn: None,
+    input_delaytype_fn: |_| None,    flow_prop_fn: None,
     write_fn: |&WriteContextArgs {
                    root,
                    op_span,
diff --git a/hydroflow_lang/src/graph/ops/fold.rs b/hydroflow_lang/src/graph/ops/fold.rs
index bb98a30ea847..d1e87186d8e0 100644
--- a/hydroflow_lang/src/graph/ops/fold.rs
+++ b/hydroflow_lang/src/graph/ops/fold.rs
@@ -1,7 +1,7 @@
 use quote::quote_spanned;
 
 use super::{
-    DelayType, GraphEdgeType, OpInstGenerics, OperatorCategory, OperatorConstraints,
+    DelayType, OpInstGenerics, OperatorCategory, OperatorConstraints,
     OperatorInstance, OperatorWriteOutput, Persistence, WriteContextArgs, RANGE_0, RANGE_1,
 };
 use crate::diagnostic::{Diagnostic, Level};
@@ -47,10 +47,7 @@ pub const FOLD: OperatorConstraints = OperatorConstraints {
     has_singleton_output: true,
     ports_inn: None,
     ports_out: None,
-    input_delaytype_fn: |_| Some(DelayType::Stratum),
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
-    flow_prop_fn: None,
+    input_delaytype_fn: |_| Some(DelayType::Stratum),    flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    root,
                    context,
diff --git a/hydroflow_lang/src/graph/ops/fold_keyed.rs b/hydroflow_lang/src/graph/ops/fold_keyed.rs
index a0626eafe8c6..86a0178f4db3 100644
--- a/hydroflow_lang/src/graph/ops/fold_keyed.rs
+++ b/hydroflow_lang/src/graph/ops/fold_keyed.rs
@@ -1,7 +1,7 @@
 use quote::{quote_spanned, ToTokens};
 
 use super::{
-    DelayType, GraphEdgeType, OpInstGenerics, OperatorCategory, OperatorConstraints,
+    DelayType, OpInstGenerics, OperatorCategory, OperatorConstraints,
     OperatorInstance, OperatorWriteOutput, Persistence, WriteContextArgs, RANGE_1,
 };
 
@@ -79,10 +79,7 @@ pub const FOLD_KEYED: OperatorConstraints = OperatorConstraints {
     has_singleton_output: false,
     ports_inn: None,
     ports_out: None,
-    input_delaytype_fn: |_| Some(DelayType::Stratum),
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
-    flow_prop_fn: None,
+    input_delaytype_fn: |_| Some(DelayType::Stratum),    flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    hydroflow,
                    context,
diff --git a/hydroflow_lang/src/graph/ops/for_each.rs b/hydroflow_lang/src/graph/ops/for_each.rs
index d22c3e85334a..8fda0c8677fa 100644
--- a/hydroflow_lang/src/graph/ops/for_each.rs
+++ b/hydroflow_lang/src/graph/ops/for_each.rs
@@ -1,7 +1,7 @@
 use quote::quote_spanned;
 
 use super::{
-    GraphEdgeType, OperatorCategory, OperatorConstraints, OperatorWriteOutput, WriteContextArgs,
+    OperatorCategory, OperatorConstraints, OperatorWriteOutput, WriteContextArgs,
     RANGE_0, RANGE_1,
 };
 
@@ -33,8 +33,6 @@ pub const FOR_EACH: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/identity.rs b/hydroflow_lang/src/graph/ops/identity.rs
index 1f0d47427476..8af519f0b88c 100644
--- a/hydroflow_lang/src/graph/ops/identity.rs
+++ b/hydroflow_lang/src/graph/ops/identity.rs
@@ -1,5 +1,5 @@
 use super::{
-    GraphEdgeType, OperatorCategory, OperatorConstraints, IDENTITY_WRITE_FN, RANGE_0, RANGE_1,
+    OperatorCategory, OperatorConstraints, IDENTITY_WRITE_FN, RANGE_0, RANGE_1,
 };
 
 /// > 1 input stream of type T, 1 output stream of type T
@@ -36,8 +36,6 @@ pub const IDENTITY: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: IDENTITY_WRITE_FN,
 };
diff --git a/hydroflow_lang/src/graph/ops/initialize.rs b/hydroflow_lang/src/graph/ops/initialize.rs
index fb3c4ca838b8..8a30df6fe459 100644
--- a/hydroflow_lang/src/graph/ops/initialize.rs
+++ b/hydroflow_lang/src/graph/ops/initialize.rs
@@ -1,7 +1,7 @@
 use syn::parse_quote_spanned;
 
 use super::{
-    GraphEdgeType, OperatorCategory, OperatorConstraints, WriteContextArgs, RANGE_0, RANGE_1,
+    OperatorCategory, OperatorConstraints, WriteContextArgs, RANGE_0, RANGE_1,
 };
 
 /// > 0 input streams, 1 output stream
@@ -29,8 +29,6 @@ pub const INITIALIZE: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs { op_span, .. }, diagnostics| {
         let wc = WriteContextArgs {
diff --git a/hydroflow_lang/src/graph/ops/inspect.rs b/hydroflow_lang/src/graph/ops/inspect.rs
index 59ed43de6b80..411edc46b1ea 100644
--- a/hydroflow_lang/src/graph/ops/inspect.rs
+++ b/hydroflow_lang/src/graph/ops/inspect.rs
@@ -1,7 +1,7 @@
 use quote::quote_spanned;
 
 use super::{
-    FlowPropArgs, GraphEdgeType, OperatorCategory, OperatorConstraints, OperatorWriteOutput,
+    FlowPropArgs, OperatorCategory, OperatorConstraints, OperatorWriteOutput,
     WriteContextArgs, RANGE_0, RANGE_1,
 };
 
@@ -34,8 +34,6 @@ pub const INSPECT: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: Some(|FlowPropArgs { flow_props_in, .. }, _diagnostics| {
         // Preserve input flow properties.
         Ok(vec![flow_props_in[0]])
diff --git a/hydroflow_lang/src/graph/ops/join.rs b/hydroflow_lang/src/graph/ops/join.rs
index f1b3a993b61f..06bdc7ab0f69 100644
--- a/hydroflow_lang/src/graph/ops/join.rs
+++ b/hydroflow_lang/src/graph/ops/join.rs
@@ -2,7 +2,7 @@ use quote::{quote_spanned, ToTokens};
 use syn::parse_quote;
 
 use super::{
-    GraphEdgeType, OpInstGenerics, OperatorCategory, OperatorConstraints, OperatorInstance,
+    OpInstGenerics, OperatorCategory, OperatorConstraints, OperatorInstance,
     OperatorWriteOutput, Persistence, WriteContextArgs, JOIN_CROSS_JOIN_FLOW_PROP_FN, RANGE_1,
 };
 use crate::diagnostic::{Diagnostic, Level};
@@ -94,8 +94,6 @@ pub const JOIN: OperatorConstraints = OperatorConstraints {
     ports_inn: Some(|| super::PortListSpec::Fixed(parse_quote! { 0, 1 })),
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: Some(JOIN_CROSS_JOIN_FLOW_PROP_FN),
     write_fn: |wc @ &WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/join_fused.rs b/hydroflow_lang/src/graph/ops/join_fused.rs
index bcda095e3d92..5ab73c64b971 100644
--- a/hydroflow_lang/src/graph/ops/join_fused.rs
+++ b/hydroflow_lang/src/graph/ops/join_fused.rs
@@ -4,7 +4,7 @@ use syn::spanned::Spanned;
 use syn::{parse_quote, Expr, ExprCall};
 
 use super::{
-    DelayType, GraphEdgeType, OpInstGenerics, OperatorCategory, OperatorConstraints,
+    DelayType, OpInstGenerics, OperatorCategory, OperatorConstraints,
     OperatorInstance, OperatorWriteOutput, Persistence, WriteContextArgs, RANGE_0, RANGE_1,
 };
 use crate::diagnostic::{Diagnostic, Level};
@@ -102,10 +102,7 @@ pub const JOIN_FUSED: OperatorConstraints = OperatorConstraints {
     has_singleton_output: false,
     ports_inn: Some(|| super::PortListSpec::Fixed(parse_quote! { 0, 1 })),
     ports_out: None,
-    input_delaytype_fn: |_| Some(DelayType::Stratum),
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
-    flow_prop_fn: None,
+    input_delaytype_fn: |_| Some(DelayType::Stratum),    flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    context,
                    op_span,
diff --git a/hydroflow_lang/src/graph/ops/join_fused_lhs.rs b/hydroflow_lang/src/graph/ops/join_fused_lhs.rs
index 1d1cddfad54e..95cb86bcd2b6 100644
--- a/hydroflow_lang/src/graph/ops/join_fused_lhs.rs
+++ b/hydroflow_lang/src/graph/ops/join_fused_lhs.rs
@@ -2,15 +2,12 @@ use quote::{quote_spanned, ToTokens};
 use syn::parse_quote;
 use syn::spanned::Spanned;
 
+use super::join_fused::{make_joindata, parse_argument, parse_persistences, JoinOptions};
 use super::{
-    DelayType, GraphEdgeType, OpInstGenerics, OperatorCategory, OperatorConstraints,
-    OperatorInstance, OperatorWriteOutput, Persistence, PortIndexValue, WriteContextArgs, RANGE_0,
-    RANGE_1,
+    DelayType, OpInstGenerics, OperatorCategory, OperatorConstraints, OperatorInstance,
+    OperatorWriteOutput, Persistence, PortIndexValue, WriteContextArgs, RANGE_0, RANGE_1,
 };
 use crate::diagnostic::{Diagnostic, Level};
-use crate::graph::ops::join_fused::{
-    make_joindata, parse_argument, parse_persistences, JoinOptions,
-};
 
 /// See `join_fused`
 ///
@@ -45,8 +42,6 @@ pub const JOIN_FUSED_LHS: OperatorConstraints = OperatorConstraints {
         }
         _ => None,
     },
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    context,
diff --git a/hydroflow_lang/src/graph/ops/join_fused_rhs.rs b/hydroflow_lang/src/graph/ops/join_fused_rhs.rs
index 7cce355f62e4..5460dbe22e9f 100644
--- a/hydroflow_lang/src/graph/ops/join_fused_rhs.rs
+++ b/hydroflow_lang/src/graph/ops/join_fused_rhs.rs
@@ -2,7 +2,7 @@ use quote::{quote_spanned, ToTokens};
 use syn::parse_quote;
 
 use super::{
-    DelayType, GraphEdgeType, OperatorCategory, OperatorConstraints, OperatorWriteOutput,
+    DelayType, OperatorCategory, OperatorConstraints, OperatorWriteOutput,
     PortIndexValue, WriteContextArgs, RANGE_0, RANGE_1,
 };
 
@@ -29,8 +29,6 @@ pub const JOIN_FUSED_RHS: OperatorConstraints = OperatorConstraints {
         }
         _ => None,
     },
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    op_span,
diff --git a/hydroflow_lang/src/graph/ops/join_multiset.rs b/hydroflow_lang/src/graph/ops/join_multiset.rs
index 9e8fd79ab156..377d40ab5039 100644
--- a/hydroflow_lang/src/graph/ops/join_multiset.rs
+++ b/hydroflow_lang/src/graph/ops/join_multiset.rs
@@ -1,7 +1,7 @@
 use syn::{parse_quote, parse_quote_spanned};
 
 use super::{
-    GraphEdgeType, OpInstGenerics, OperatorCategory, OperatorConstraints, OperatorInstance,
+    OpInstGenerics, OperatorCategory, OperatorConstraints, OperatorInstance,
     WriteContextArgs, RANGE_0, RANGE_1,
 };
 
@@ -40,8 +40,6 @@ pub const JOIN_MULTISET: OperatorConstraints = OperatorConstraints {
     ports_inn: Some(|| super::PortListSpec::Fixed(parse_quote! { 0, 1 })),
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/lattice_bimorphism.rs b/hydroflow_lang/src/graph/ops/lattice_bimorphism.rs
index c287acf1024d..5241130455c3 100644
--- a/hydroflow_lang/src/graph/ops/lattice_bimorphism.rs
+++ b/hydroflow_lang/src/graph/ops/lattice_bimorphism.rs
@@ -2,7 +2,7 @@ use quote::quote_spanned;
 use syn::parse_quote;
 
 use super::{
-    GraphEdgeType, OperatorCategory, OperatorConstraints, OperatorWriteOutput, WriteContextArgs,
+    OperatorCategory, OperatorConstraints, OperatorWriteOutput, WriteContextArgs,
     JOIN_CROSS_JOIN_FLOW_PROP_FN, RANGE_0, RANGE_1,
 };
 
@@ -22,8 +22,6 @@ pub const LATTICE_BIMORPHISM: OperatorConstraints = OperatorConstraints {
     ports_inn: Some(|| super::PortListSpec::Fixed(parse_quote! { 0, 1 })),
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: Some(JOIN_CROSS_JOIN_FLOW_PROP_FN),
     write_fn: |wc @ &WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/lattice_fold.rs b/hydroflow_lang/src/graph/ops/lattice_fold.rs
index ae864646c686..7147834d93e9 100644
--- a/hydroflow_lang/src/graph/ops/lattice_fold.rs
+++ b/hydroflow_lang/src/graph/ops/lattice_fold.rs
@@ -1,7 +1,7 @@
 use syn::parse_quote_spanned;
 
 use super::{
-    DelayType, GraphEdgeType, OperatorCategory, OperatorConstraints, WriteContextArgs,
+    DelayType, OperatorCategory, OperatorConstraints, WriteContextArgs,
     LATTICE_FOLD_REDUCE_FLOW_PROP_FN, RANGE_0, RANGE_1,
 };
 
@@ -42,8 +42,6 @@ pub const LATTICE_FOLD: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| Some(DelayType::MonotoneAccum),
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: Some(LATTICE_FOLD_REDUCE_FLOW_PROP_FN),
     write_fn: |wc @ &WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/lattice_reduce.rs b/hydroflow_lang/src/graph/ops/lattice_reduce.rs
index 2cff0cfe84d6..49b384572e12 100644
--- a/hydroflow_lang/src/graph/ops/lattice_reduce.rs
+++ b/hydroflow_lang/src/graph/ops/lattice_reduce.rs
@@ -2,7 +2,7 @@ use quote::quote_spanned;
 use syn::parse_quote_spanned;
 
 use super::{
-    DelayType, GraphEdgeType, OperatorCategory, OperatorConstraints, OperatorWriteOutput,
+    DelayType, OperatorCategory, OperatorConstraints, OperatorWriteOutput,
     WriteContextArgs, LATTICE_FOLD_REDUCE_FLOW_PROP_FN, RANGE_0, RANGE_1,
 };
 
@@ -43,8 +43,6 @@ pub const LATTICE_REDUCE: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| Some(DelayType::MonotoneAccum),
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: Some(LATTICE_FOLD_REDUCE_FLOW_PROP_FN),
     write_fn: |wc @ &WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/map.rs b/hydroflow_lang/src/graph/ops/map.rs
index efd1ce668588..7cab176523eb 100644
--- a/hydroflow_lang/src/graph/ops/map.rs
+++ b/hydroflow_lang/src/graph/ops/map.rs
@@ -1,7 +1,7 @@
 use quote::quote_spanned;
 
 use super::{
-    FlowPropArgs, GraphEdgeType, OperatorCategory, OperatorConstraints, OperatorWriteOutput,
+    FlowPropArgs, OperatorCategory, OperatorConstraints, OperatorWriteOutput,
     WriteContextArgs, RANGE_0, RANGE_1,
 };
 
@@ -34,8 +34,6 @@ pub const MAP: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: Some(|FlowPropArgs { flow_props_in, .. }, _diagnostics| {
         // Preserve input flow properties.
         Ok(vec![flow_props_in[0]])
diff --git a/hydroflow_lang/src/graph/ops/mod.rs b/hydroflow_lang/src/graph/ops/mod.rs
index 2df2273f3340..7f15392bcd9c 100644
--- a/hydroflow_lang/src/graph/ops/mod.rs
+++ b/hydroflow_lang/src/graph/ops/mod.rs
@@ -13,8 +13,8 @@ use syn::punctuated::Punctuated;
 use syn::{parse_quote_spanned, Expr, Token};
 
 use super::{
-    FlowProps, GraphEdgeType, GraphNode, GraphNodeId, GraphSubgraphId, LatticeFlowType,
-    OpInstGenerics, OperatorInstance, PortIndexValue,
+    FlowProps, GraphNode, GraphNodeId, GraphSubgraphId, LatticeFlowType, OpInstGenerics,
+    OperatorInstance, PortIndexValue,
 };
 use crate::diagnostic::{Diagnostic, Level};
 use crate::parse::{Operator, PortIndex};
@@ -79,10 +79,6 @@ pub struct OperatorConstraints {
 
     /// Determines if this input must be preceeded by a stratum barrier.
     pub input_delaytype_fn: fn(&PortIndexValue) -> Option<DelayType>,
-    /// The required edge type for each input. Return `None` when any is OK, or for unknown `PortIndexValue` inputs.
-    pub input_edgetype_fn: fn(&PortIndexValue) -> Option<GraphEdgeType>,
-    /// Specifies the edge type for each output port.
-    pub output_edgetype_fn: fn(&PortIndexValue) -> GraphEdgeType,
 
     /// Return the output flow types for the given input flow types.
     ///
@@ -283,7 +279,6 @@ pub fn null_write_iterator_fn(
         ident,
         inputs,
         outputs,
-        input_edgetypes,
         is_pull,
         op_inst:
             OperatorInstance {
@@ -296,16 +291,10 @@ pub fn null_write_iterator_fn(
     let default_type = parse_quote_spanned! {op_span=> _};
     let iter_type = type_args.first().unwrap_or(&default_type);
 
-    let value_inputs = inputs
-        .iter()
-        .zip(input_edgetypes)
-        .filter(|(_input, input_edgtype)| matches!(input_edgtype, GraphEdgeType::Value))
-        .map(|(input, _)| input);
-
     if is_pull {
         quote_spanned! {op_span=>
             #(
-                #value_inputs.for_each(std::mem::drop);
+                #inputs.for_each(std::mem::drop);
             )*
             let #ident = std::iter::empty::<#iter_type>();
         }
@@ -455,11 +444,6 @@ pub struct WriteContextArgs<'a> {
     pub inputs: &'a [Ident],
     /// Output operator idents (or ref idents; used for push).
     pub outputs: &'a [Ident],
-    /// Input edge types (value or reference).
-    pub input_edgetypes: &'a [GraphEdgeType],
-    /// Output edge types (value or reference). Likely not that useful (since the operator decides
-    /// its output edgetypes) but provided for completeness,
-    pub output_edgetypes: &'a [GraphEdgeType],
     /// Ident for the singleton output of this operator, if any.
     pub singleton_output_ident: &'a Ident,
 
diff --git a/hydroflow_lang/src/graph/ops/multiset_delta.rs b/hydroflow_lang/src/graph/ops/multiset_delta.rs
index cf6e38a8f600..0d10c8096447 100644
--- a/hydroflow_lang/src/graph/ops/multiset_delta.rs
+++ b/hydroflow_lang/src/graph/ops/multiset_delta.rs
@@ -1,7 +1,7 @@
 use quote::quote_spanned;
 
 use super::{
-    GraphEdgeType, OperatorCategory, OperatorConstraints, OperatorWriteOutput, WriteContextArgs,
+    OperatorCategory, OperatorConstraints, OperatorWriteOutput, WriteContextArgs,
     RANGE_0, RANGE_1,
 };
 
@@ -45,8 +45,6 @@ pub const MULTISET_DELTA: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/next_stratum.rs b/hydroflow_lang/src/graph/ops/next_stratum.rs
index f67de299cee4..a84b8bb534c6 100644
--- a/hydroflow_lang/src/graph/ops/next_stratum.rs
+++ b/hydroflow_lang/src/graph/ops/next_stratum.rs
@@ -1,5 +1,5 @@
 use super::{
-    DelayType, GraphEdgeType, OperatorCategory, OperatorConstraints, IDENTITY_WRITE_FN, RANGE_0,
+    DelayType, OperatorCategory, OperatorConstraints, IDENTITY_WRITE_FN, RANGE_0,
     RANGE_1,
 };
 
@@ -20,8 +20,6 @@ pub const NEXT_STRATUM: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| Some(DelayType::Stratum),
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: IDENTITY_WRITE_FN,
 };
diff --git a/hydroflow_lang/src/graph/ops/null.rs b/hydroflow_lang/src/graph/ops/null.rs
index a9e23552d562..856c69b1024f 100644
--- a/hydroflow_lang/src/graph/ops/null.rs
+++ b/hydroflow_lang/src/graph/ops/null.rs
@@ -1,4 +1,4 @@
-use super::{GraphEdgeType, OperatorCategory, OperatorConstraints, NULL_WRITE_FN, RANGE_0};
+use super::{OperatorCategory, OperatorConstraints, NULL_WRITE_FN, RANGE_0};
 
 /// > unbounded number of input streams of any type, unbounded number of output streams of any type.
 ///
@@ -29,8 +29,6 @@ pub const NULL: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| None,
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: NULL_WRITE_FN,
 };
diff --git a/hydroflow_lang/src/graph/ops/partition.rs b/hydroflow_lang/src/graph/ops/partition.rs
index 232f5ae9c771..5e432bf43b7c 100644
--- a/hydroflow_lang/src/graph/ops/partition.rs
+++ b/hydroflow_lang/src/graph/ops/partition.rs
@@ -7,11 +7,10 @@ use syn::token::Colon;
 use syn::{parse_quote_spanned, Expr, Ident, LitInt, LitStr, Pat, PatType};
 
 use super::{
-    GraphEdgeType, OperatorCategory, OperatorConstraints, OperatorInstance, PortIndexValue,
+    OperatorCategory, OperatorConstraints, OperatorInstance, OperatorWriteOutput, PortIndexValue,
     PortListSpec, WriteContextArgs, RANGE_0, RANGE_1,
 };
 use crate::diagnostic::{Diagnostic, Level};
-use crate::graph::ops::OperatorWriteOutput;
 use crate::pretty_span::PrettySpan;
 
 /// This operator takes the input pipeline and allows the user to determine which singular output
@@ -69,8 +68,6 @@ pub const PARTITION: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: Some(|| PortListSpec::Variadic),
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/persist.rs b/hydroflow_lang/src/graph/ops/persist.rs
index 4d34ec604639..ea3f1da54de5 100644
--- a/hydroflow_lang/src/graph/ops/persist.rs
+++ b/hydroflow_lang/src/graph/ops/persist.rs
@@ -1,7 +1,7 @@
 use quote::quote_spanned;
 
 use super::{
-    FlowPropArgs, FlowProps, GraphEdgeType, LatticeFlowType, OperatorCategory, OperatorConstraints,
+    FlowPropArgs, FlowProps, LatticeFlowType, OperatorCategory, OperatorConstraints,
     OperatorWriteOutput, WriteContextArgs, RANGE_0, RANGE_1,
 };
 use crate::diagnostic::{Diagnostic, Level};
@@ -50,8 +50,6 @@ pub const PERSIST: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: Some(
         |fp @ FlowPropArgs {
              op_span, op_name, ..
diff --git a/hydroflow_lang/src/graph/ops/persist_mut.rs b/hydroflow_lang/src/graph/ops/persist_mut.rs
index 95faab8314b3..17b6e4b7ea29 100644
--- a/hydroflow_lang/src/graph/ops/persist_mut.rs
+++ b/hydroflow_lang/src/graph/ops/persist_mut.rs
@@ -1,7 +1,7 @@
 use quote::quote_spanned;
 
 use super::{
-    DelayType, GraphEdgeType, OperatorCategory, OperatorConstraints, OperatorWriteOutput,
+    DelayType, OperatorCategory, OperatorConstraints, OperatorWriteOutput,
     WriteContextArgs, RANGE_0, RANGE_1,
 };
 
@@ -37,8 +37,6 @@ pub const PERSIST_MUT: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| Some(DelayType::Stratum),
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/persist_mut_keyed.rs b/hydroflow_lang/src/graph/ops/persist_mut_keyed.rs
index 779ed51e621b..670481efd429 100644
--- a/hydroflow_lang/src/graph/ops/persist_mut_keyed.rs
+++ b/hydroflow_lang/src/graph/ops/persist_mut_keyed.rs
@@ -1,7 +1,7 @@
 use quote::quote_spanned;
 
 use super::{
-    DelayType, GraphEdgeType, OperatorCategory, OperatorConstraints, OperatorWriteOutput,
+    DelayType, OperatorCategory, OperatorConstraints, OperatorWriteOutput,
     WriteContextArgs, RANGE_0, RANGE_1,
 };
 
@@ -37,8 +37,6 @@ pub const PERSIST_MUT_KEYED: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| Some(DelayType::Stratum),
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/py_udf.rs b/hydroflow_lang/src/graph/ops/py_udf.rs
index e71ac0ca40bd..918dc295bfa1 100644
--- a/hydroflow_lang/src/graph/ops/py_udf.rs
+++ b/hydroflow_lang/src/graph/ops/py_udf.rs
@@ -2,7 +2,7 @@ use proc_macro2::Literal;
 use quote::quote_spanned;
 
 use super::{
-    GraphEdgeType, OperatorCategory, OperatorConstraints, OperatorWriteOutput, WriteContextArgs,
+    OperatorCategory, OperatorConstraints, OperatorWriteOutput, WriteContextArgs,
     RANGE_0, RANGE_1,
 };
 
@@ -65,8 +65,6 @@ pub const PY_UDF: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/reduce.rs b/hydroflow_lang/src/graph/ops/reduce.rs
index 06ed0353d81e..e6f2620efa2a 100644
--- a/hydroflow_lang/src/graph/ops/reduce.rs
+++ b/hydroflow_lang/src/graph/ops/reduce.rs
@@ -1,7 +1,7 @@
 use quote::quote_spanned;
 
 use super::{
-    DelayType, GraphEdgeType, OpInstGenerics, OperatorCategory, OperatorConstraints,
+    DelayType, OpInstGenerics, OperatorCategory, OperatorConstraints,
     OperatorInstance, OperatorWriteOutput, Persistence, WriteContextArgs, RANGE_0, RANGE_1,
 };
 use crate::diagnostic::{Diagnostic, Level};
@@ -49,8 +49,6 @@ pub const REDUCE: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| Some(DelayType::Stratum),
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/reduce_keyed.rs b/hydroflow_lang/src/graph/ops/reduce_keyed.rs
index 47c00250b73b..ff991c7a887c 100644
--- a/hydroflow_lang/src/graph/ops/reduce_keyed.rs
+++ b/hydroflow_lang/src/graph/ops/reduce_keyed.rs
@@ -1,7 +1,7 @@
 use quote::{quote_spanned, ToTokens};
 
 use super::{
-    DelayType, GraphEdgeType, OpInstGenerics, OperatorCategory, OperatorConstraints,
+    DelayType, OpInstGenerics, OperatorCategory, OperatorConstraints,
     OperatorInstance, OperatorWriteOutput, Persistence, WriteContextArgs, RANGE_1,
 };
 use crate::diagnostic::{Diagnostic, Level};
@@ -70,8 +70,6 @@ pub const REDUCE_KEYED: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| Some(DelayType::Stratum),
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    hydroflow,
diff --git a/hydroflow_lang/src/graph/ops/sort.rs b/hydroflow_lang/src/graph/ops/sort.rs
index 9a2709583a43..d68c84589a84 100644
--- a/hydroflow_lang/src/graph/ops/sort.rs
+++ b/hydroflow_lang/src/graph/ops/sort.rs
@@ -1,7 +1,7 @@
 use quote::quote_spanned;
 
 use super::{
-    DelayType, GraphEdgeType, OperatorCategory, OperatorConstraints, OperatorWriteOutput,
+    DelayType, OperatorCategory, OperatorConstraints, OperatorWriteOutput,
     WriteContextArgs, RANGE_0, RANGE_1,
 };
 
@@ -30,8 +30,6 @@ pub const SORT: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| Some(DelayType::Stratum),
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |&WriteContextArgs {
                    op_span,
diff --git a/hydroflow_lang/src/graph/ops/sort_by_key.rs b/hydroflow_lang/src/graph/ops/sort_by_key.rs
index 016f018cc084..8f26350cd84e 100644
--- a/hydroflow_lang/src/graph/ops/sort_by_key.rs
+++ b/hydroflow_lang/src/graph/ops/sort_by_key.rs
@@ -1,7 +1,7 @@
 use quote::quote_spanned;
 
 use super::{
-    DelayType, GraphEdgeType, OperatorCategory, OperatorConstraints, OperatorWriteOutput,
+    DelayType, OperatorCategory, OperatorConstraints, OperatorWriteOutput,
     WriteContextArgs, RANGE_0, RANGE_1,
 };
 
@@ -30,8 +30,6 @@ pub const SORT_BY_KEY: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| Some(DelayType::Stratum),
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |&WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/source_file.rs b/hydroflow_lang/src/graph/ops/source_file.rs
index b9751cd41ca7..19e54e22ffaa 100644
--- a/hydroflow_lang/src/graph/ops/source_file.rs
+++ b/hydroflow_lang/src/graph/ops/source_file.rs
@@ -2,7 +2,7 @@ use quote::quote_spanned;
 use syn::parse_quote_spanned;
 
 use super::{
-    make_missing_runtime_msg, GraphEdgeType, OperatorCategory, OperatorConstraints,
+    make_missing_runtime_msg, OperatorCategory, OperatorConstraints,
     OperatorWriteOutput, WriteContextArgs, RANGE_0, RANGE_1,
 };
 
@@ -33,8 +33,6 @@ pub const SOURCE_FILE: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/source_interval.rs b/hydroflow_lang/src/graph/ops/source_interval.rs
index c1f026dd4348..f525a06779f8 100644
--- a/hydroflow_lang/src/graph/ops/source_interval.rs
+++ b/hydroflow_lang/src/graph/ops/source_interval.rs
@@ -2,7 +2,7 @@ use quote::quote_spanned;
 use syn::parse_quote_spanned;
 
 use super::{
-    GraphEdgeType, OperatorCategory, OperatorConstraints, OperatorWriteOutput, WriteContextArgs,
+    OperatorCategory, OperatorConstraints, OperatorWriteOutput, WriteContextArgs,
     RANGE_0, RANGE_1,
 };
 
@@ -57,8 +57,6 @@ pub const SOURCE_INTERVAL: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/source_iter.rs b/hydroflow_lang/src/graph/ops/source_iter.rs
index 1066c9d20f6f..bfda42334cd8 100644
--- a/hydroflow_lang/src/graph/ops/source_iter.rs
+++ b/hydroflow_lang/src/graph/ops/source_iter.rs
@@ -1,7 +1,7 @@
 use quote::quote_spanned;
 
 use super::{
-    GraphEdgeType, OperatorCategory, OperatorConstraints, OperatorWriteOutput, WriteContextArgs,
+    OperatorCategory, OperatorConstraints, OperatorWriteOutput, WriteContextArgs,
     RANGE_0, RANGE_1,
 };
 
@@ -32,8 +32,6 @@ pub const SOURCE_ITER: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    op_span,
diff --git a/hydroflow_lang/src/graph/ops/source_json.rs b/hydroflow_lang/src/graph/ops/source_json.rs
index 6d10c6e5ecd4..35e9970b2333 100644
--- a/hydroflow_lang/src/graph/ops/source_json.rs
+++ b/hydroflow_lang/src/graph/ops/source_json.rs
@@ -1,7 +1,7 @@
 use quote::quote_spanned;
 
 use super::{
-    GraphEdgeType, OpInstGenerics, OperatorCategory, OperatorConstraints, OperatorInstance,
+    OpInstGenerics, OperatorCategory, OperatorConstraints, OperatorInstance,
     OperatorWriteOutput, WriteContextArgs, RANGE_0, RANGE_1,
 };
 
@@ -30,8 +30,6 @@ pub const SOURCE_JSON: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/source_stdin.rs b/hydroflow_lang/src/graph/ops/source_stdin.rs
index b7eec4ec66fb..411468c48050 100644
--- a/hydroflow_lang/src/graph/ops/source_stdin.rs
+++ b/hydroflow_lang/src/graph/ops/source_stdin.rs
@@ -1,7 +1,7 @@
 use quote::quote_spanned;
 
 use super::{
-    GraphEdgeType, OperatorCategory, OperatorConstraints, OperatorWriteOutput, WriteContextArgs,
+    OperatorCategory, OperatorConstraints, OperatorWriteOutput, WriteContextArgs,
     RANGE_0, RANGE_1,
 };
 
@@ -32,8 +32,6 @@ pub const SOURCE_STDIN: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/source_stream.rs b/hydroflow_lang/src/graph/ops/source_stream.rs
index 70dcf5c33bf1..d0f2c4992cfc 100644
--- a/hydroflow_lang/src/graph/ops/source_stream.rs
+++ b/hydroflow_lang/src/graph/ops/source_stream.rs
@@ -1,7 +1,7 @@
 use quote::quote_spanned;
 
 use super::{
-    GraphEdgeType, OperatorCategory, OperatorConstraints, OperatorWriteOutput, WriteContextArgs,
+    OperatorCategory, OperatorConstraints, OperatorWriteOutput, WriteContextArgs,
     RANGE_0, RANGE_1,
 };
 
@@ -39,8 +39,6 @@ pub const SOURCE_STREAM: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/source_stream_serde.rs b/hydroflow_lang/src/graph/ops/source_stream_serde.rs
index e9ab5fbd79aa..98d04ec0f5e5 100644
--- a/hydroflow_lang/src/graph/ops/source_stream_serde.rs
+++ b/hydroflow_lang/src/graph/ops/source_stream_serde.rs
@@ -1,7 +1,7 @@
 use quote::quote_spanned;
 
 use super::{
-    GraphEdgeType, OperatorCategory, OperatorConstraints, OperatorWriteOutput, WriteContextArgs,
+    OperatorCategory, OperatorConstraints, OperatorWriteOutput, WriteContextArgs,
     RANGE_0, RANGE_1,
 };
 
@@ -39,8 +39,6 @@ pub const SOURCE_STREAM_SERDE: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/spin.rs b/hydroflow_lang/src/graph/ops/spin.rs
index f41f5e35daa5..86fb8fe27426 100644
--- a/hydroflow_lang/src/graph/ops/spin.rs
+++ b/hydroflow_lang/src/graph/ops/spin.rs
@@ -1,7 +1,7 @@
 use quote::quote_spanned;
 
 use super::{
-    GraphEdgeType, OperatorCategory, OperatorConstraints, OperatorWriteOutput, WriteContextArgs,
+    OperatorCategory, OperatorConstraints, OperatorWriteOutput, WriteContextArgs,
     RANGE_0, RANGE_1,
 };
 
@@ -32,8 +32,6 @@ pub const SPIN: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |&WriteContextArgs {
                    context,
diff --git a/hydroflow_lang/src/graph/ops/state.rs b/hydroflow_lang/src/graph/ops/state.rs
index 5d1bf2cabb5e..b6683734a84f 100644
--- a/hydroflow_lang/src/graph/ops/state.rs
+++ b/hydroflow_lang/src/graph/ops/state.rs
@@ -1,8 +1,8 @@
 use quote::{quote_spanned, ToTokens};
 
 use super::{
-    GraphEdgeType, OpInstGenerics, OperatorCategory, OperatorConstraints, OperatorInstance,
-    OperatorWriteOutput, PortIndexValue, WriteContextArgs, LATTICE_FOLD_REDUCE_FLOW_PROP_FN,
+    OpInstGenerics, OperatorCategory, OperatorConstraints, OperatorInstance,
+    OperatorWriteOutput, WriteContextArgs, LATTICE_FOLD_REDUCE_FLOW_PROP_FN,
     RANGE_0, RANGE_1,
 };
 
@@ -36,13 +36,6 @@ pub const STATE: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |idx| match idx {
-        PortIndexValue::Path(path) if "state" == path.to_token_stream().to_string() => {
-            GraphEdgeType::Reference
-        }
-        _else => GraphEdgeType::Value,
-    },
     flow_prop_fn: Some(LATTICE_FOLD_REDUCE_FLOW_PROP_FN),
     write_fn: |&WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/tee.rs b/hydroflow_lang/src/graph/ops/tee.rs
index bb92323aaa8c..3204aaf3d2ac 100644
--- a/hydroflow_lang/src/graph/ops/tee.rs
+++ b/hydroflow_lang/src/graph/ops/tee.rs
@@ -1,7 +1,7 @@
 use quote::{quote_spanned, ToTokens};
 
 use super::{
-    FlowPropArgs, GraphEdgeType, OperatorCategory, OperatorConstraints, OperatorWriteOutput,
+    FlowPropArgs, OperatorCategory, OperatorConstraints, OperatorWriteOutput,
     WriteContextArgs, RANGE_0, RANGE_1, RANGE_ANY,
 };
 
@@ -30,9 +30,7 @@ pub const TEE: OperatorConstraints = OperatorConstraints {
     has_singleton_output: false,
     ports_inn: None,
     ports_out: None,
-    input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value, // TODO(mingwei): pass-through value types?
+    input_delaytype_fn: |_| None, // TODO(mingwei): pass-through value types?
     flow_prop_fn: Some(|FlowPropArgs { flow_props_in, .. }, _diagnostics| {
         Ok(vec![flow_props_in[0]])
     }),
diff --git a/hydroflow_lang/src/graph/ops/union.rs b/hydroflow_lang/src/graph/ops/union.rs
index 170c6ea075de..b90078192185 100644
--- a/hydroflow_lang/src/graph/ops/union.rs
+++ b/hydroflow_lang/src/graph/ops/union.rs
@@ -5,7 +5,6 @@ use super::{
     WriteContextArgs, RANGE_0, RANGE_1, RANGE_ANY,
 };
 use crate::diagnostic::{Diagnostic, Level};
-use crate::graph::GraphEdgeType;
 
 /// > *n* input streams of the same type, 1 output stream of the same type
 ///
@@ -37,8 +36,6 @@ pub const UNION: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: Some(
         |fp @ FlowPropArgs {
              op_name,
diff --git a/hydroflow_lang/src/graph/ops/unique.rs b/hydroflow_lang/src/graph/ops/unique.rs
index dd7d81c5a248..6c56a0c98c5d 100644
--- a/hydroflow_lang/src/graph/ops/unique.rs
+++ b/hydroflow_lang/src/graph/ops/unique.rs
@@ -1,7 +1,7 @@
 use quote::quote_spanned;
 
 use super::{
-    GraphEdgeType, OpInstGenerics, OperatorCategory, OperatorConstraints, OperatorInstance,
+    OpInstGenerics, OperatorCategory, OperatorConstraints, OperatorInstance,
     OperatorWriteOutput, Persistence, WriteContextArgs, RANGE_0, RANGE_1,
 };
 use crate::diagnostic::{Diagnostic, Level};
@@ -57,8 +57,6 @@ pub const UNIQUE: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/unzip.rs b/hydroflow_lang/src/graph/ops/unzip.rs
index c9f1033e36b7..267141a46bcb 100644
--- a/hydroflow_lang/src/graph/ops/unzip.rs
+++ b/hydroflow_lang/src/graph/ops/unzip.rs
@@ -2,7 +2,7 @@ use quote::quote_spanned;
 use syn::parse_quote;
 
 use super::{
-    GraphEdgeType, OperatorCategory, OperatorConstraints, OperatorWriteOutput, WriteContextArgs,
+    OperatorCategory, OperatorConstraints, OperatorWriteOutput, WriteContextArgs,
     RANGE_0, RANGE_1,
 };
 
@@ -31,8 +31,6 @@ pub const UNZIP: OperatorConstraints = OperatorConstraints {
     ports_inn: None,
     ports_out: Some(|| super::PortListSpec::Fixed(parse_quote!(0, 1))),
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |&WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/zip.rs b/hydroflow_lang/src/graph/ops/zip.rs
index b34bef175b62..54f62b884674 100644
--- a/hydroflow_lang/src/graph/ops/zip.rs
+++ b/hydroflow_lang/src/graph/ops/zip.rs
@@ -2,7 +2,7 @@ use quote::quote_spanned;
 use syn::parse_quote;
 
 use super::{
-    GraphEdgeType, OpInstGenerics, OperatorCategory, OperatorConstraints, OperatorInstance,
+    OpInstGenerics, OperatorCategory, OperatorConstraints, OperatorInstance,
     OperatorWriteOutput, Persistence, WriteContextArgs, RANGE_0, RANGE_1,
 };
 use crate::diagnostic::{Diagnostic, Level};
@@ -33,8 +33,6 @@ pub const ZIP: OperatorConstraints = OperatorConstraints {
     ports_inn: Some(|| super::PortListSpec::Fixed(parse_quote! { 0, 1 })),
     ports_out: None,
     input_delaytype_fn: |_| None,
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |wc @ &WriteContextArgs {
                    root,
diff --git a/hydroflow_lang/src/graph/ops/zip_longest.rs b/hydroflow_lang/src/graph/ops/zip_longest.rs
index a7ec9fa10e4f..43806978d4c5 100644
--- a/hydroflow_lang/src/graph/ops/zip_longest.rs
+++ b/hydroflow_lang/src/graph/ops/zip_longest.rs
@@ -6,7 +6,6 @@ use super::{
     OperatorWriteOutput, Persistence, WriteContextArgs, RANGE_0, RANGE_1,
 };
 use crate::diagnostic::{Diagnostic, Level};
-use crate::graph::GraphEdgeType;
 
 /// > 2 input streams of type `V1` and `V2`, 1 output stream of type `itertools::EitherOrBoth<V1, V2>`
 ///
@@ -38,8 +37,6 @@ pub const ZIP_LONGEST: OperatorConstraints = OperatorConstraints {
     ports_inn: Some(|| super::PortListSpec::Fixed(parse_quote! { 0, 1 })),
     ports_out: None,
     input_delaytype_fn: |_| Some(DelayType::Stratum),
-    input_edgetype_fn: |_| Some(GraphEdgeType::Value),
-    output_edgetype_fn: |_| GraphEdgeType::Value,
     flow_prop_fn: None,
     write_fn: |&WriteContextArgs {
                    root,