Ajout support pour les cycles.

3 files changed, 1910 insertions, 630 deletions

diff --git a/cpu/netlist_gen.ml b/cpu/netlist_gen.ml
index 4eabf25..3e40e0f 100644
--- a/cpu/netlist_gen.ml
+++ b/cpu/netlist_gen.ml
@@ -2,13 +2,13 @@ open Netlist_ast
 
 include Netlist_proc
 
-type t = calc ref
+type t = calc
 
 let main_0_1 circuit =
 	let eqs = [] in
 	let vars = Idm.empty in
 	let o_1 = circuit in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
 	match arg_1 with
 	| Avar id_1 -> {
 		p_eqs = eqs;
@@ -21,8 +21,8 @@ let main_0_2 circuit =
 	let eqs = [] in
 	let vars = Idm.empty in
 	let o_1,o_2 = circuit in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
 	match arg_1,arg_2 with
 	| Avar id_1,Avar id_2 -> {
 		p_eqs = eqs;
@@ -35,9 +35,9 @@ let main_0_3 circuit =
 	let eqs = [] in
 	let vars = Idm.empty in
 	let o_1,o_2,o_3 = circuit in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
 	match arg_1,arg_2,arg_3 with
 	| Avar id_1,Avar id_2,Avar id_3 -> {
 		p_eqs = eqs;
@@ -50,10 +50,10 @@ let main_0_4 circuit =
 	let eqs = [] in
 	let vars = Idm.empty in
 	let o_1,o_2,o_3,o_4 = circuit in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
 	match arg_1,arg_2,arg_3,arg_4 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4 -> {
 		p_eqs = eqs;
@@ -66,11 +66,11 @@ let main_0_5 circuit =
 	let eqs = [] in
 	let vars = Idm.empty in
 	let o_1,o_2,o_3,o_4,o_5 = circuit in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5 -> {
 		p_eqs = eqs;
@@ -83,12 +83,12 @@ let main_0_6 circuit =
 	let eqs = [] in
 	let vars = Idm.empty in
 	let o_1,o_2,o_3,o_4,o_5,o_6 = circuit in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6 -> {
 		p_eqs = eqs;
@@ -101,13 +101,13 @@ let main_0_7 circuit =
 	let eqs = [] in
 	let vars = Idm.empty in
 	let o_1,o_2,o_3,o_4,o_5,o_6,o_7 = circuit in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
-	let arg_7,_,eqs,vars = calc eqs vars o_7 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
+	let arg_7,_,eqs,vars = calc Iset.empty eqs vars o_7 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6,arg_7 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6,Avar id_7 -> {
 		p_eqs = eqs;
@@ -120,14 +120,14 @@ let main_0_8 circuit =
 	let eqs = [] in
 	let vars = Idm.empty in
 	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8 = circuit in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
-	let arg_7,_,eqs,vars = calc eqs vars o_7 in
-	let arg_8,_,eqs,vars = calc eqs vars o_8 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
+	let arg_7,_,eqs,vars = calc Iset.empty eqs vars o_7 in
+	let arg_8,_,eqs,vars = calc Iset.empty eqs vars o_8 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6,arg_7,arg_8 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6,Avar id_7,Avar id_8 -> {
 		p_eqs = eqs;
@@ -140,15 +140,15 @@ let main_0_9 circuit =
 	let eqs = [] in
 	let vars = Idm.empty in
 	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8,o_9 = circuit in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
-	let arg_7,_,eqs,vars = calc eqs vars o_7 in
-	let arg_8,_,eqs,vars = calc eqs vars o_8 in
-	let arg_9,_,eqs,vars = calc eqs vars o_9 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
+	let arg_7,_,eqs,vars = calc Iset.empty eqs vars o_7 in
+	let arg_8,_,eqs,vars = calc Iset.empty eqs vars o_8 in
+	let arg_9,_,eqs,vars = calc Iset.empty eqs vars o_9 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6,arg_7,arg_8,arg_9 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6,Avar id_7,Avar id_8,Avar id_9 -> {
 		p_eqs = eqs;
@@ -161,8 +161,11 @@ let main_1_1 circuit t_1 =
 	let i_1 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_1 t_1 (Idm.empty) in
-	let o_1 = circuit (ref (Id (i_1,t_1))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let o_1 = circuit val_1 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
 	match arg_1 with
 	| Avar id_1 -> {
 		p_eqs = eqs;
@@ -175,9 +178,12 @@ let main_1_2 circuit t_1 =
 	let i_1 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_1 t_1 (Idm.empty) in
-	let o_1,o_2 = circuit (ref (Id (i_1,t_1))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let o_1,o_2 = circuit val_1 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
 	match arg_1,arg_2 with
 	| Avar id_1,Avar id_2 -> {
 		p_eqs = eqs;
@@ -190,10 +196,13 @@ let main_1_3 circuit t_1 =
 	let i_1 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_1 t_1 (Idm.empty) in
-	let o_1,o_2,o_3 = circuit (ref (Id (i_1,t_1))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let o_1,o_2,o_3 = circuit val_1 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
 	match arg_1,arg_2,arg_3 with
 	| Avar id_1,Avar id_2,Avar id_3 -> {
 		p_eqs = eqs;
@@ -206,11 +215,14 @@ let main_1_4 circuit t_1 =
 	let i_1 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_1 t_1 (Idm.empty) in
-	let o_1,o_2,o_3,o_4 = circuit (ref (Id (i_1,t_1))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let o_1,o_2,o_3,o_4 = circuit val_1 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
 	match arg_1,arg_2,arg_3,arg_4 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4 -> {
 		p_eqs = eqs;
@@ -223,12 +235,15 @@ let main_1_5 circuit t_1 =
 	let i_1 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_1 t_1 (Idm.empty) in
-	let o_1,o_2,o_3,o_4,o_5 = circuit (ref (Id (i_1,t_1))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let o_1,o_2,o_3,o_4,o_5 = circuit val_1 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5 -> {
 		p_eqs = eqs;
@@ -241,13 +256,16 @@ let main_1_6 circuit t_1 =
 	let i_1 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_1 t_1 (Idm.empty) in
-	let o_1,o_2,o_3,o_4,o_5,o_6 = circuit (ref (Id (i_1,t_1))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let o_1,o_2,o_3,o_4,o_5,o_6 = circuit val_1 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6 -> {
 		p_eqs = eqs;
@@ -260,14 +278,17 @@ let main_1_7 circuit t_1 =
 	let i_1 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_1 t_1 (Idm.empty) in
-	let o_1,o_2,o_3,o_4,o_5,o_6,o_7 = circuit (ref (Id (i_1,t_1))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
-	let arg_7,_,eqs,vars = calc eqs vars o_7 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let o_1,o_2,o_3,o_4,o_5,o_6,o_7 = circuit val_1 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
+	let arg_7,_,eqs,vars = calc Iset.empty eqs vars o_7 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6,arg_7 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6,Avar id_7 -> {
 		p_eqs = eqs;
@@ -280,15 +301,18 @@ let main_1_8 circuit t_1 =
 	let i_1 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_1 t_1 (Idm.empty) in
-	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8 = circuit (ref (Id (i_1,t_1))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
-	let arg_7,_,eqs,vars = calc eqs vars o_7 in
-	let arg_8,_,eqs,vars = calc eqs vars o_8 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8 = circuit val_1 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
+	let arg_7,_,eqs,vars = calc Iset.empty eqs vars o_7 in
+	let arg_8,_,eqs,vars = calc Iset.empty eqs vars o_8 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6,arg_7,arg_8 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6,Avar id_7,Avar id_8 -> {
 		p_eqs = eqs;
@@ -301,16 +325,19 @@ let main_1_9 circuit t_1 =
 	let i_1 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_1 t_1 (Idm.empty) in
-	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8,o_9 = circuit (ref (Id (i_1,t_1))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
-	let arg_7,_,eqs,vars = calc eqs vars o_7 in
-	let arg_8,_,eqs,vars = calc eqs vars o_8 in
-	let arg_9,_,eqs,vars = calc eqs vars o_9 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8,o_9 = circuit val_1 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
+	let arg_7,_,eqs,vars = calc Iset.empty eqs vars o_7 in
+	let arg_8,_,eqs,vars = calc Iset.empty eqs vars o_8 in
+	let arg_9,_,eqs,vars = calc Iset.empty eqs vars o_9 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6,arg_7,arg_8,arg_9 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6,Avar id_7,Avar id_8,Avar id_9 -> {
 		p_eqs = eqs;
@@ -324,8 +351,14 @@ let main_2_1 circuit t_1 t_2 =
 	let i_2 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)) in
-	let o_1 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let o_1 = circuit val_1 val_2 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
 	match arg_1 with
 	| Avar id_1 -> {
 		p_eqs = eqs;
@@ -339,9 +372,15 @@ let main_2_2 circuit t_1 t_2 =
 	let i_2 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)) in
-	let o_1,o_2 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let o_1,o_2 = circuit val_1 val_2 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
 	match arg_1,arg_2 with
 	| Avar id_1,Avar id_2 -> {
 		p_eqs = eqs;
@@ -355,10 +394,16 @@ let main_2_3 circuit t_1 t_2 =
 	let i_2 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)) in
-	let o_1,o_2,o_3 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let o_1,o_2,o_3 = circuit val_1 val_2 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
 	match arg_1,arg_2,arg_3 with
 	| Avar id_1,Avar id_2,Avar id_3 -> {
 		p_eqs = eqs;
@@ -372,11 +417,17 @@ let main_2_4 circuit t_1 t_2 =
 	let i_2 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)) in
-	let o_1,o_2,o_3,o_4 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let o_1,o_2,o_3,o_4 = circuit val_1 val_2 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
 	match arg_1,arg_2,arg_3,arg_4 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4 -> {
 		p_eqs = eqs;
@@ -390,12 +441,18 @@ let main_2_5 circuit t_1 t_2 =
 	let i_2 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)) in
-	let o_1,o_2,o_3,o_4,o_5 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let o_1,o_2,o_3,o_4,o_5 = circuit val_1 val_2 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5 -> {
 		p_eqs = eqs;
@@ -409,13 +466,19 @@ let main_2_6 circuit t_1 t_2 =
 	let i_2 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)) in
-	let o_1,o_2,o_3,o_4,o_5,o_6 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let o_1,o_2,o_3,o_4,o_5,o_6 = circuit val_1 val_2 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6 -> {
 		p_eqs = eqs;
@@ -429,14 +492,20 @@ let main_2_7 circuit t_1 t_2 =
 	let i_2 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)) in
-	let o_1,o_2,o_3,o_4,o_5,o_6,o_7 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
-	let arg_7,_,eqs,vars = calc eqs vars o_7 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let o_1,o_2,o_3,o_4,o_5,o_6,o_7 = circuit val_1 val_2 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
+	let arg_7,_,eqs,vars = calc Iset.empty eqs vars o_7 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6,arg_7 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6,Avar id_7 -> {
 		p_eqs = eqs;
@@ -450,15 +519,21 @@ let main_2_8 circuit t_1 t_2 =
 	let i_2 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)) in
-	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
-	let arg_7,_,eqs,vars = calc eqs vars o_7 in
-	let arg_8,_,eqs,vars = calc eqs vars o_8 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8 = circuit val_1 val_2 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
+	let arg_7,_,eqs,vars = calc Iset.empty eqs vars o_7 in
+	let arg_8,_,eqs,vars = calc Iset.empty eqs vars o_8 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6,arg_7,arg_8 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6,Avar id_7,Avar id_8 -> {
 		p_eqs = eqs;
@@ -472,16 +547,22 @@ let main_2_9 circuit t_1 t_2 =
 	let i_2 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)) in
-	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8,o_9 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
-	let arg_7,_,eqs,vars = calc eqs vars o_7 in
-	let arg_8,_,eqs,vars = calc eqs vars o_8 in
-	let arg_9,_,eqs,vars = calc eqs vars o_9 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8,o_9 = circuit val_1 val_2 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
+	let arg_7,_,eqs,vars = calc Iset.empty eqs vars o_7 in
+	let arg_8,_,eqs,vars = calc Iset.empty eqs vars o_8 in
+	let arg_9,_,eqs,vars = calc Iset.empty eqs vars o_9 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6,arg_7,arg_8,arg_9 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6,Avar id_7,Avar id_8,Avar id_9 -> {
 		p_eqs = eqs;
@@ -496,8 +577,17 @@ let main_3_1 circuit t_1 t_2 t_3 =
 	let i_3 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))) in
-	let o_1 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let o_1 = circuit val_1 val_2 val_3 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
 	match arg_1 with
 	| Avar id_1 -> {
 		p_eqs = eqs;
@@ -512,9 +602,18 @@ let main_3_2 circuit t_1 t_2 t_3 =
 	let i_3 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))) in
-	let o_1,o_2 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let o_1,o_2 = circuit val_1 val_2 val_3 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
 	match arg_1,arg_2 with
 	| Avar id_1,Avar id_2 -> {
 		p_eqs = eqs;
@@ -529,10 +628,19 @@ let main_3_3 circuit t_1 t_2 t_3 =
 	let i_3 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))) in
-	let o_1,o_2,o_3 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let o_1,o_2,o_3 = circuit val_1 val_2 val_3 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
 	match arg_1,arg_2,arg_3 with
 	| Avar id_1,Avar id_2,Avar id_3 -> {
 		p_eqs = eqs;
@@ -547,11 +655,20 @@ let main_3_4 circuit t_1 t_2 t_3 =
 	let i_3 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))) in
-	let o_1,o_2,o_3,o_4 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let o_1,o_2,o_3,o_4 = circuit val_1 val_2 val_3 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
 	match arg_1,arg_2,arg_3,arg_4 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4 -> {
 		p_eqs = eqs;
@@ -566,12 +683,21 @@ let main_3_5 circuit t_1 t_2 t_3 =
 	let i_3 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))) in
-	let o_1,o_2,o_3,o_4,o_5 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let o_1,o_2,o_3,o_4,o_5 = circuit val_1 val_2 val_3 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5 -> {
 		p_eqs = eqs;
@@ -586,13 +712,22 @@ let main_3_6 circuit t_1 t_2 t_3 =
 	let i_3 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))) in
-	let o_1,o_2,o_3,o_4,o_5,o_6 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let o_1,o_2,o_3,o_4,o_5,o_6 = circuit val_1 val_2 val_3 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6 -> {
 		p_eqs = eqs;
@@ -607,14 +742,23 @@ let main_3_7 circuit t_1 t_2 t_3 =
 	let i_3 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))) in
-	let o_1,o_2,o_3,o_4,o_5,o_6,o_7 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
-	let arg_7,_,eqs,vars = calc eqs vars o_7 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let o_1,o_2,o_3,o_4,o_5,o_6,o_7 = circuit val_1 val_2 val_3 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
+	let arg_7,_,eqs,vars = calc Iset.empty eqs vars o_7 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6,arg_7 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6,Avar id_7 -> {
 		p_eqs = eqs;
@@ -629,15 +773,24 @@ let main_3_8 circuit t_1 t_2 t_3 =
 	let i_3 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))) in
-	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
-	let arg_7,_,eqs,vars = calc eqs vars o_7 in
-	let arg_8,_,eqs,vars = calc eqs vars o_8 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8 = circuit val_1 val_2 val_3 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
+	let arg_7,_,eqs,vars = calc Iset.empty eqs vars o_7 in
+	let arg_8,_,eqs,vars = calc Iset.empty eqs vars o_8 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6,arg_7,arg_8 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6,Avar id_7,Avar id_8 -> {
 		p_eqs = eqs;
@@ -652,16 +805,25 @@ let main_3_9 circuit t_1 t_2 t_3 =
 	let i_3 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))) in
-	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8,o_9 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
-	let arg_7,_,eqs,vars = calc eqs vars o_7 in
-	let arg_8,_,eqs,vars = calc eqs vars o_8 in
-	let arg_9,_,eqs,vars = calc eqs vars o_9 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8,o_9 = circuit val_1 val_2 val_3 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
+	let arg_7,_,eqs,vars = calc Iset.empty eqs vars o_7 in
+	let arg_8,_,eqs,vars = calc Iset.empty eqs vars o_8 in
+	let arg_9,_,eqs,vars = calc Iset.empty eqs vars o_9 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6,arg_7,arg_8,arg_9 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6,Avar id_7,Avar id_8,Avar id_9 -> {
 		p_eqs = eqs;
@@ -677,8 +839,20 @@ let main_4_1 circuit t_1 t_2 t_3 t_4 =
 	let i_4 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)))) in
-	let o_1 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let o_1 = circuit val_1 val_2 val_3 val_4 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
 	match arg_1 with
 	| Avar id_1 -> {
 		p_eqs = eqs;
@@ -694,9 +868,21 @@ let main_4_2 circuit t_1 t_2 t_3 t_4 =
 	let i_4 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)))) in
-	let o_1,o_2 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let o_1,o_2 = circuit val_1 val_2 val_3 val_4 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
 	match arg_1,arg_2 with
 	| Avar id_1,Avar id_2 -> {
 		p_eqs = eqs;
@@ -712,10 +898,22 @@ let main_4_3 circuit t_1 t_2 t_3 t_4 =
 	let i_4 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)))) in
-	let o_1,o_2,o_3 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let o_1,o_2,o_3 = circuit val_1 val_2 val_3 val_4 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
 	match arg_1,arg_2,arg_3 with
 	| Avar id_1,Avar id_2,Avar id_3 -> {
 		p_eqs = eqs;
@@ -731,11 +929,23 @@ let main_4_4 circuit t_1 t_2 t_3 t_4 =
 	let i_4 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)))) in
-	let o_1,o_2,o_3,o_4 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let o_1,o_2,o_3,o_4 = circuit val_1 val_2 val_3 val_4 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
 	match arg_1,arg_2,arg_3,arg_4 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4 -> {
 		p_eqs = eqs;
@@ -751,12 +961,24 @@ let main_4_5 circuit t_1 t_2 t_3 t_4 =
 	let i_4 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)))) in
-	let o_1,o_2,o_3,o_4,o_5 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let o_1,o_2,o_3,o_4,o_5 = circuit val_1 val_2 val_3 val_4 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5 -> {
 		p_eqs = eqs;
@@ -772,13 +994,25 @@ let main_4_6 circuit t_1 t_2 t_3 t_4 =
 	let i_4 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)))) in
-	let o_1,o_2,o_3,o_4,o_5,o_6 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let o_1,o_2,o_3,o_4,o_5,o_6 = circuit val_1 val_2 val_3 val_4 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6 -> {
 		p_eqs = eqs;
@@ -794,14 +1028,26 @@ let main_4_7 circuit t_1 t_2 t_3 t_4 =
 	let i_4 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)))) in
-	let o_1,o_2,o_3,o_4,o_5,o_6,o_7 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
-	let arg_7,_,eqs,vars = calc eqs vars o_7 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let o_1,o_2,o_3,o_4,o_5,o_6,o_7 = circuit val_1 val_2 val_3 val_4 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
+	let arg_7,_,eqs,vars = calc Iset.empty eqs vars o_7 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6,arg_7 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6,Avar id_7 -> {
 		p_eqs = eqs;
@@ -817,15 +1063,27 @@ let main_4_8 circuit t_1 t_2 t_3 t_4 =
 	let i_4 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)))) in
-	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
-	let arg_7,_,eqs,vars = calc eqs vars o_7 in
-	let arg_8,_,eqs,vars = calc eqs vars o_8 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8 = circuit val_1 val_2 val_3 val_4 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
+	let arg_7,_,eqs,vars = calc Iset.empty eqs vars o_7 in
+	let arg_8,_,eqs,vars = calc Iset.empty eqs vars o_8 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6,arg_7,arg_8 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6,Avar id_7,Avar id_8 -> {
 		p_eqs = eqs;
@@ -841,16 +1099,28 @@ let main_4_9 circuit t_1 t_2 t_3 t_4 =
 	let i_4 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)))) in
-	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8,o_9 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
-	let arg_7,_,eqs,vars = calc eqs vars o_7 in
-	let arg_8,_,eqs,vars = calc eqs vars o_8 in
-	let arg_9,_,eqs,vars = calc eqs vars o_9 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8,o_9 = circuit val_1 val_2 val_3 val_4 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
+	let arg_7,_,eqs,vars = calc Iset.empty eqs vars o_7 in
+	let arg_8,_,eqs,vars = calc Iset.empty eqs vars o_8 in
+	let arg_9,_,eqs,vars = calc Iset.empty eqs vars o_9 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6,arg_7,arg_8,arg_9 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6,Avar id_7,Avar id_8,Avar id_9 -> {
 		p_eqs = eqs;
@@ -867,8 +1137,23 @@ let main_5_1 circuit t_1 t_2 t_3 t_4 t_5 =
 	let i_5 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))))) in
-	let o_1 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let o_1 = circuit val_1 val_2 val_3 val_4 val_5 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
 	match arg_1 with
 	| Avar id_1 -> {
 		p_eqs = eqs;
@@ -885,9 +1170,24 @@ let main_5_2 circuit t_1 t_2 t_3 t_4 t_5 =
 	let i_5 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))))) in
-	let o_1,o_2 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let o_1,o_2 = circuit val_1 val_2 val_3 val_4 val_5 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
 	match arg_1,arg_2 with
 	| Avar id_1,Avar id_2 -> {
 		p_eqs = eqs;
@@ -904,10 +1204,25 @@ let main_5_3 circuit t_1 t_2 t_3 t_4 t_5 =
 	let i_5 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))))) in
-	let o_1,o_2,o_3 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let o_1,o_2,o_3 = circuit val_1 val_2 val_3 val_4 val_5 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
 	match arg_1,arg_2,arg_3 with
 	| Avar id_1,Avar id_2,Avar id_3 -> {
 		p_eqs = eqs;
@@ -924,11 +1239,26 @@ let main_5_4 circuit t_1 t_2 t_3 t_4 t_5 =
 	let i_5 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))))) in
-	let o_1,o_2,o_3,o_4 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let o_1,o_2,o_3,o_4 = circuit val_1 val_2 val_3 val_4 val_5 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
 	match arg_1,arg_2,arg_3,arg_4 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4 -> {
 		p_eqs = eqs;
@@ -945,12 +1275,27 @@ let main_5_5 circuit t_1 t_2 t_3 t_4 t_5 =
 	let i_5 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))))) in
-	let o_1,o_2,o_3,o_4,o_5 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let o_1,o_2,o_3,o_4,o_5 = circuit val_1 val_2 val_3 val_4 val_5 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5 -> {
 		p_eqs = eqs;
@@ -967,13 +1312,28 @@ let main_5_6 circuit t_1 t_2 t_3 t_4 t_5 =
 	let i_5 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))))) in
-	let o_1,o_2,o_3,o_4,o_5,o_6 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let o_1,o_2,o_3,o_4,o_5,o_6 = circuit val_1 val_2 val_3 val_4 val_5 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6 -> {
 		p_eqs = eqs;
@@ -990,14 +1350,29 @@ let main_5_7 circuit t_1 t_2 t_3 t_4 t_5 =
 	let i_5 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))))) in
-	let o_1,o_2,o_3,o_4,o_5,o_6,o_7 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
-	let arg_7,_,eqs,vars = calc eqs vars o_7 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let o_1,o_2,o_3,o_4,o_5,o_6,o_7 = circuit val_1 val_2 val_3 val_4 val_5 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
+	let arg_7,_,eqs,vars = calc Iset.empty eqs vars o_7 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6,arg_7 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6,Avar id_7 -> {
 		p_eqs = eqs;
@@ -1014,15 +1389,30 @@ let main_5_8 circuit t_1 t_2 t_3 t_4 t_5 =
 	let i_5 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))))) in
-	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
-	let arg_7,_,eqs,vars = calc eqs vars o_7 in
-	let arg_8,_,eqs,vars = calc eqs vars o_8 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8 = circuit val_1 val_2 val_3 val_4 val_5 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
+	let arg_7,_,eqs,vars = calc Iset.empty eqs vars o_7 in
+	let arg_8,_,eqs,vars = calc Iset.empty eqs vars o_8 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6,arg_7,arg_8 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6,Avar id_7,Avar id_8 -> {
 		p_eqs = eqs;
@@ -1039,16 +1429,31 @@ let main_5_9 circuit t_1 t_2 t_3 t_4 t_5 =
 	let i_5 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))))) in
-	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8,o_9 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
-	let arg_7,_,eqs,vars = calc eqs vars o_7 in
-	let arg_8,_,eqs,vars = calc eqs vars o_8 in
-	let arg_9,_,eqs,vars = calc eqs vars o_9 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8,o_9 = circuit val_1 val_2 val_3 val_4 val_5 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
+	let arg_7,_,eqs,vars = calc Iset.empty eqs vars o_7 in
+	let arg_8,_,eqs,vars = calc Iset.empty eqs vars o_8 in
+	let arg_9,_,eqs,vars = calc Iset.empty eqs vars o_9 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6,arg_7,arg_8,arg_9 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6,Avar id_7,Avar id_8,Avar id_9 -> {
 		p_eqs = eqs;
@@ -1066,8 +1471,26 @@ let main_6_1 circuit t_1 t_2 t_3 t_4 t_5 t_6 =
 	let i_6 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)))))) in
-	let o_1 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let o_1 = circuit val_1 val_2 val_3 val_4 val_5 val_6 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
 	match arg_1 with
 	| Avar id_1 -> {
 		p_eqs = eqs;
@@ -1085,9 +1508,27 @@ let main_6_2 circuit t_1 t_2 t_3 t_4 t_5 t_6 =
 	let i_6 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)))))) in
-	let o_1,o_2 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let o_1,o_2 = circuit val_1 val_2 val_3 val_4 val_5 val_6 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
 	match arg_1,arg_2 with
 	| Avar id_1,Avar id_2 -> {
 		p_eqs = eqs;
@@ -1105,10 +1546,28 @@ let main_6_3 circuit t_1 t_2 t_3 t_4 t_5 t_6 =
 	let i_6 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)))))) in
-	let o_1,o_2,o_3 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let o_1,o_2,o_3 = circuit val_1 val_2 val_3 val_4 val_5 val_6 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
 	match arg_1,arg_2,arg_3 with
 	| Avar id_1,Avar id_2,Avar id_3 -> {
 		p_eqs = eqs;
@@ -1126,11 +1585,29 @@ let main_6_4 circuit t_1 t_2 t_3 t_4 t_5 t_6 =
 	let i_6 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)))))) in
-	let o_1,o_2,o_3,o_4 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let o_1,o_2,o_3,o_4 = circuit val_1 val_2 val_3 val_4 val_5 val_6 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
 	match arg_1,arg_2,arg_3,arg_4 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4 -> {
 		p_eqs = eqs;
@@ -1148,12 +1625,30 @@ let main_6_5 circuit t_1 t_2 t_3 t_4 t_5 t_6 =
 	let i_6 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)))))) in
-	let o_1,o_2,o_3,o_4,o_5 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let o_1,o_2,o_3,o_4,o_5 = circuit val_1 val_2 val_3 val_4 val_5 val_6 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5 -> {
 		p_eqs = eqs;
@@ -1171,13 +1666,31 @@ let main_6_6 circuit t_1 t_2 t_3 t_4 t_5 t_6 =
 	let i_6 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)))))) in
-	let o_1,o_2,o_3,o_4,o_5,o_6 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let o_1,o_2,o_3,o_4,o_5,o_6 = circuit val_1 val_2 val_3 val_4 val_5 val_6 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6 -> {
 		p_eqs = eqs;
@@ -1195,14 +1708,32 @@ let main_6_7 circuit t_1 t_2 t_3 t_4 t_5 t_6 =
 	let i_6 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)))))) in
-	let o_1,o_2,o_3,o_4,o_5,o_6,o_7 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
-	let arg_7,_,eqs,vars = calc eqs vars o_7 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let o_1,o_2,o_3,o_4,o_5,o_6,o_7 = circuit val_1 val_2 val_3 val_4 val_5 val_6 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
+	let arg_7,_,eqs,vars = calc Iset.empty eqs vars o_7 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6,arg_7 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6,Avar id_7 -> {
 		p_eqs = eqs;
@@ -1220,15 +1751,33 @@ let main_6_8 circuit t_1 t_2 t_3 t_4 t_5 t_6 =
 	let i_6 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)))))) in
-	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
-	let arg_7,_,eqs,vars = calc eqs vars o_7 in
-	let arg_8,_,eqs,vars = calc eqs vars o_8 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8 = circuit val_1 val_2 val_3 val_4 val_5 val_6 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
+	let arg_7,_,eqs,vars = calc Iset.empty eqs vars o_7 in
+	let arg_8,_,eqs,vars = calc Iset.empty eqs vars o_8 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6,arg_7,arg_8 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6,Avar id_7,Avar id_8 -> {
 		p_eqs = eqs;
@@ -1246,16 +1795,34 @@ let main_6_9 circuit t_1 t_2 t_3 t_4 t_5 t_6 =
 	let i_6 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)))))) in
-	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8,o_9 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
-	let arg_7,_,eqs,vars = calc eqs vars o_7 in
-	let arg_8,_,eqs,vars = calc eqs vars o_8 in
-	let arg_9,_,eqs,vars = calc eqs vars o_9 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8,o_9 = circuit val_1 val_2 val_3 val_4 val_5 val_6 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
+	let arg_7,_,eqs,vars = calc Iset.empty eqs vars o_7 in
+	let arg_8,_,eqs,vars = calc Iset.empty eqs vars o_8 in
+	let arg_9,_,eqs,vars = calc Iset.empty eqs vars o_9 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6,arg_7,arg_8,arg_9 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6,Avar id_7,Avar id_8,Avar id_9 -> {
 		p_eqs = eqs;
@@ -1274,8 +1841,29 @@ let main_7_1 circuit t_1 t_2 t_3 t_4 t_5 t_6 t_7 =
 	let i_7 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_7 t_7 (Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))))))) in
-	let o_1 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) (ref (Id (i_7,t_7))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let val_7 =
+		let res_7 = ref (Arg (Avar i_7,t_7)) in
+		fun () -> res_7 in
+	let o_1 = circuit val_1 val_2 val_3 val_4 val_5 val_6 val_7 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
 	match arg_1 with
 	| Avar id_1 -> {
 		p_eqs = eqs;
@@ -1294,9 +1882,30 @@ let main_7_2 circuit t_1 t_2 t_3 t_4 t_5 t_6 t_7 =
 	let i_7 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_7 t_7 (Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))))))) in
-	let o_1,o_2 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) (ref (Id (i_7,t_7))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let val_7 =
+		let res_7 = ref (Arg (Avar i_7,t_7)) in
+		fun () -> res_7 in
+	let o_1,o_2 = circuit val_1 val_2 val_3 val_4 val_5 val_6 val_7 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
 	match arg_1,arg_2 with
 	| Avar id_1,Avar id_2 -> {
 		p_eqs = eqs;
@@ -1315,10 +1924,31 @@ let main_7_3 circuit t_1 t_2 t_3 t_4 t_5 t_6 t_7 =
 	let i_7 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_7 t_7 (Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))))))) in
-	let o_1,o_2,o_3 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) (ref (Id (i_7,t_7))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let val_7 =
+		let res_7 = ref (Arg (Avar i_7,t_7)) in
+		fun () -> res_7 in
+	let o_1,o_2,o_3 = circuit val_1 val_2 val_3 val_4 val_5 val_6 val_7 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
 	match arg_1,arg_2,arg_3 with
 	| Avar id_1,Avar id_2,Avar id_3 -> {
 		p_eqs = eqs;
@@ -1337,11 +1967,32 @@ let main_7_4 circuit t_1 t_2 t_3 t_4 t_5 t_6 t_7 =
 	let i_7 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_7 t_7 (Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))))))) in
-	let o_1,o_2,o_3,o_4 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) (ref (Id (i_7,t_7))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let val_7 =
+		let res_7 = ref (Arg (Avar i_7,t_7)) in
+		fun () -> res_7 in
+	let o_1,o_2,o_3,o_4 = circuit val_1 val_2 val_3 val_4 val_5 val_6 val_7 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
 	match arg_1,arg_2,arg_3,arg_4 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4 -> {
 		p_eqs = eqs;
@@ -1360,12 +2011,33 @@ let main_7_5 circuit t_1 t_2 t_3 t_4 t_5 t_6 t_7 =
 	let i_7 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_7 t_7 (Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))))))) in
-	let o_1,o_2,o_3,o_4,o_5 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) (ref (Id (i_7,t_7))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let val_7 =
+		let res_7 = ref (Arg (Avar i_7,t_7)) in
+		fun () -> res_7 in
+	let o_1,o_2,o_3,o_4,o_5 = circuit val_1 val_2 val_3 val_4 val_5 val_6 val_7 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5 -> {
 		p_eqs = eqs;
@@ -1384,13 +2056,34 @@ let main_7_6 circuit t_1 t_2 t_3 t_4 t_5 t_6 t_7 =
 	let i_7 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_7 t_7 (Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))))))) in
-	let o_1,o_2,o_3,o_4,o_5,o_6 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) (ref (Id (i_7,t_7))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let val_7 =
+		let res_7 = ref (Arg (Avar i_7,t_7)) in
+		fun () -> res_7 in
+	let o_1,o_2,o_3,o_4,o_5,o_6 = circuit val_1 val_2 val_3 val_4 val_5 val_6 val_7 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6 -> {
 		p_eqs = eqs;
@@ -1409,14 +2102,35 @@ let main_7_7 circuit t_1 t_2 t_3 t_4 t_5 t_6 t_7 =
 	let i_7 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_7 t_7 (Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))))))) in
-	let o_1,o_2,o_3,o_4,o_5,o_6,o_7 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) (ref (Id (i_7,t_7))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
-	let arg_7,_,eqs,vars = calc eqs vars o_7 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let val_7 =
+		let res_7 = ref (Arg (Avar i_7,t_7)) in
+		fun () -> res_7 in
+	let o_1,o_2,o_3,o_4,o_5,o_6,o_7 = circuit val_1 val_2 val_3 val_4 val_5 val_6 val_7 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
+	let arg_7,_,eqs,vars = calc Iset.empty eqs vars o_7 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6,arg_7 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6,Avar id_7 -> {
 		p_eqs = eqs;
@@ -1435,15 +2149,36 @@ let main_7_8 circuit t_1 t_2 t_3 t_4 t_5 t_6 t_7 =
 	let i_7 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_7 t_7 (Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))))))) in
-	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) (ref (Id (i_7,t_7))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
-	let arg_7,_,eqs,vars = calc eqs vars o_7 in
-	let arg_8,_,eqs,vars = calc eqs vars o_8 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let val_7 =
+		let res_7 = ref (Arg (Avar i_7,t_7)) in
+		fun () -> res_7 in
+	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8 = circuit val_1 val_2 val_3 val_4 val_5 val_6 val_7 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
+	let arg_7,_,eqs,vars = calc Iset.empty eqs vars o_7 in
+	let arg_8,_,eqs,vars = calc Iset.empty eqs vars o_8 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6,arg_7,arg_8 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6,Avar id_7,Avar id_8 -> {
 		p_eqs = eqs;
@@ -1462,16 +2197,37 @@ let main_7_9 circuit t_1 t_2 t_3 t_4 t_5 t_6 t_7 =
 	let i_7 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_7 t_7 (Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))))))) in
-	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8,o_9 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) (ref (Id (i_7,t_7))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
-	let arg_7,_,eqs,vars = calc eqs vars o_7 in
-	let arg_8,_,eqs,vars = calc eqs vars o_8 in
-	let arg_9,_,eqs,vars = calc eqs vars o_9 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let val_7 =
+		let res_7 = ref (Arg (Avar i_7,t_7)) in
+		fun () -> res_7 in
+	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8,o_9 = circuit val_1 val_2 val_3 val_4 val_5 val_6 val_7 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
+	let arg_7,_,eqs,vars = calc Iset.empty eqs vars o_7 in
+	let arg_8,_,eqs,vars = calc Iset.empty eqs vars o_8 in
+	let arg_9,_,eqs,vars = calc Iset.empty eqs vars o_9 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6,arg_7,arg_8,arg_9 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6,Avar id_7,Avar id_8,Avar id_9 -> {
 		p_eqs = eqs;
@@ -1491,8 +2247,32 @@ let main_8_1 circuit t_1 t_2 t_3 t_4 t_5 t_6 t_7 t_8 =
 	let i_8 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_8 t_8 (Idm.add i_7 t_7 (Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)))))))) in
-	let o_1 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) (ref (Id (i_7,t_7))) (ref (Id (i_8,t_8))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let val_7 =
+		let res_7 = ref (Arg (Avar i_7,t_7)) in
+		fun () -> res_7 in
+	let val_8 =
+		let res_8 = ref (Arg (Avar i_8,t_8)) in
+		fun () -> res_8 in
+	let o_1 = circuit val_1 val_2 val_3 val_4 val_5 val_6 val_7 val_8 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
 	match arg_1 with
 	| Avar id_1 -> {
 		p_eqs = eqs;
@@ -1512,9 +2292,33 @@ let main_8_2 circuit t_1 t_2 t_3 t_4 t_5 t_6 t_7 t_8 =
 	let i_8 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_8 t_8 (Idm.add i_7 t_7 (Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)))))))) in
-	let o_1,o_2 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) (ref (Id (i_7,t_7))) (ref (Id (i_8,t_8))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let val_7 =
+		let res_7 = ref (Arg (Avar i_7,t_7)) in
+		fun () -> res_7 in
+	let val_8 =
+		let res_8 = ref (Arg (Avar i_8,t_8)) in
+		fun () -> res_8 in
+	let o_1,o_2 = circuit val_1 val_2 val_3 val_4 val_5 val_6 val_7 val_8 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
 	match arg_1,arg_2 with
 	| Avar id_1,Avar id_2 -> {
 		p_eqs = eqs;
@@ -1534,10 +2338,34 @@ let main_8_3 circuit t_1 t_2 t_3 t_4 t_5 t_6 t_7 t_8 =
 	let i_8 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_8 t_8 (Idm.add i_7 t_7 (Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)))))))) in
-	let o_1,o_2,o_3 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) (ref (Id (i_7,t_7))) (ref (Id (i_8,t_8))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let val_7 =
+		let res_7 = ref (Arg (Avar i_7,t_7)) in
+		fun () -> res_7 in
+	let val_8 =
+		let res_8 = ref (Arg (Avar i_8,t_8)) in
+		fun () -> res_8 in
+	let o_1,o_2,o_3 = circuit val_1 val_2 val_3 val_4 val_5 val_6 val_7 val_8 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
 	match arg_1,arg_2,arg_3 with
 	| Avar id_1,Avar id_2,Avar id_3 -> {
 		p_eqs = eqs;
@@ -1557,11 +2385,35 @@ let main_8_4 circuit t_1 t_2 t_3 t_4 t_5 t_6 t_7 t_8 =
 	let i_8 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_8 t_8 (Idm.add i_7 t_7 (Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)))))))) in
-	let o_1,o_2,o_3,o_4 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) (ref (Id (i_7,t_7))) (ref (Id (i_8,t_8))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let val_7 =
+		let res_7 = ref (Arg (Avar i_7,t_7)) in
+		fun () -> res_7 in
+	let val_8 =
+		let res_8 = ref (Arg (Avar i_8,t_8)) in
+		fun () -> res_8 in
+	let o_1,o_2,o_3,o_4 = circuit val_1 val_2 val_3 val_4 val_5 val_6 val_7 val_8 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
 	match arg_1,arg_2,arg_3,arg_4 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4 -> {
 		p_eqs = eqs;
@@ -1581,12 +2433,36 @@ let main_8_5 circuit t_1 t_2 t_3 t_4 t_5 t_6 t_7 t_8 =
 	let i_8 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_8 t_8 (Idm.add i_7 t_7 (Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)))))))) in
-	let o_1,o_2,o_3,o_4,o_5 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) (ref (Id (i_7,t_7))) (ref (Id (i_8,t_8))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let val_7 =
+		let res_7 = ref (Arg (Avar i_7,t_7)) in
+		fun () -> res_7 in
+	let val_8 =
+		let res_8 = ref (Arg (Avar i_8,t_8)) in
+		fun () -> res_8 in
+	let o_1,o_2,o_3,o_4,o_5 = circuit val_1 val_2 val_3 val_4 val_5 val_6 val_7 val_8 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5 -> {
 		p_eqs = eqs;
@@ -1606,13 +2482,37 @@ let main_8_6 circuit t_1 t_2 t_3 t_4 t_5 t_6 t_7 t_8 =
 	let i_8 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_8 t_8 (Idm.add i_7 t_7 (Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)))))))) in
-	let o_1,o_2,o_3,o_4,o_5,o_6 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) (ref (Id (i_7,t_7))) (ref (Id (i_8,t_8))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let val_7 =
+		let res_7 = ref (Arg (Avar i_7,t_7)) in
+		fun () -> res_7 in
+	let val_8 =
+		let res_8 = ref (Arg (Avar i_8,t_8)) in
+		fun () -> res_8 in
+	let o_1,o_2,o_3,o_4,o_5,o_6 = circuit val_1 val_2 val_3 val_4 val_5 val_6 val_7 val_8 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6 -> {
 		p_eqs = eqs;
@@ -1632,14 +2532,38 @@ let main_8_7 circuit t_1 t_2 t_3 t_4 t_5 t_6 t_7 t_8 =
 	let i_8 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_8 t_8 (Idm.add i_7 t_7 (Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)))))))) in
-	let o_1,o_2,o_3,o_4,o_5,o_6,o_7 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) (ref (Id (i_7,t_7))) (ref (Id (i_8,t_8))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
-	let arg_7,_,eqs,vars = calc eqs vars o_7 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let val_7 =
+		let res_7 = ref (Arg (Avar i_7,t_7)) in
+		fun () -> res_7 in
+	let val_8 =
+		let res_8 = ref (Arg (Avar i_8,t_8)) in
+		fun () -> res_8 in
+	let o_1,o_2,o_3,o_4,o_5,o_6,o_7 = circuit val_1 val_2 val_3 val_4 val_5 val_6 val_7 val_8 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
+	let arg_7,_,eqs,vars = calc Iset.empty eqs vars o_7 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6,arg_7 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6,Avar id_7 -> {
 		p_eqs = eqs;
@@ -1659,15 +2583,39 @@ let main_8_8 circuit t_1 t_2 t_3 t_4 t_5 t_6 t_7 t_8 =
 	let i_8 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_8 t_8 (Idm.add i_7 t_7 (Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)))))))) in
-	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) (ref (Id (i_7,t_7))) (ref (Id (i_8,t_8))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
-	let arg_7,_,eqs,vars = calc eqs vars o_7 in
-	let arg_8,_,eqs,vars = calc eqs vars o_8 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let val_7 =
+		let res_7 = ref (Arg (Avar i_7,t_7)) in
+		fun () -> res_7 in
+	let val_8 =
+		let res_8 = ref (Arg (Avar i_8,t_8)) in
+		fun () -> res_8 in
+	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8 = circuit val_1 val_2 val_3 val_4 val_5 val_6 val_7 val_8 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
+	let arg_7,_,eqs,vars = calc Iset.empty eqs vars o_7 in
+	let arg_8,_,eqs,vars = calc Iset.empty eqs vars o_8 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6,arg_7,arg_8 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6,Avar id_7,Avar id_8 -> {
 		p_eqs = eqs;
@@ -1687,16 +2635,40 @@ let main_8_9 circuit t_1 t_2 t_3 t_4 t_5 t_6 t_7 t_8 =
 	let i_8 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_8 t_8 (Idm.add i_7 t_7 (Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty)))))))) in
-	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8,o_9 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) (ref (Id (i_7,t_7))) (ref (Id (i_8,t_8))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
-	let arg_7,_,eqs,vars = calc eqs vars o_7 in
-	let arg_8,_,eqs,vars = calc eqs vars o_8 in
-	let arg_9,_,eqs,vars = calc eqs vars o_9 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let val_7 =
+		let res_7 = ref (Arg (Avar i_7,t_7)) in
+		fun () -> res_7 in
+	let val_8 =
+		let res_8 = ref (Arg (Avar i_8,t_8)) in
+		fun () -> res_8 in
+	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8,o_9 = circuit val_1 val_2 val_3 val_4 val_5 val_6 val_7 val_8 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
+	let arg_7,_,eqs,vars = calc Iset.empty eqs vars o_7 in
+	let arg_8,_,eqs,vars = calc Iset.empty eqs vars o_8 in
+	let arg_9,_,eqs,vars = calc Iset.empty eqs vars o_9 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6,arg_7,arg_8,arg_9 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6,Avar id_7,Avar id_8,Avar id_9 -> {
 		p_eqs = eqs;
@@ -1717,8 +2689,35 @@ let main_9_1 circuit t_1 t_2 t_3 t_4 t_5 t_6 t_7 t_8 t_9 =
 	let i_9 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_9 t_9 (Idm.add i_8 t_8 (Idm.add i_7 t_7 (Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))))))))) in
-	let o_1 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) (ref (Id (i_7,t_7))) (ref (Id (i_8,t_8))) (ref (Id (i_9,t_9))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let val_7 =
+		let res_7 = ref (Arg (Avar i_7,t_7)) in
+		fun () -> res_7 in
+	let val_8 =
+		let res_8 = ref (Arg (Avar i_8,t_8)) in
+		fun () -> res_8 in
+	let val_9 =
+		let res_9 = ref (Arg (Avar i_9,t_9)) in
+		fun () -> res_9 in
+	let o_1 = circuit val_1 val_2 val_3 val_4 val_5 val_6 val_7 val_8 val_9 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
 	match arg_1 with
 	| Avar id_1 -> {
 		p_eqs = eqs;
@@ -1739,9 +2738,36 @@ let main_9_2 circuit t_1 t_2 t_3 t_4 t_5 t_6 t_7 t_8 t_9 =
 	let i_9 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_9 t_9 (Idm.add i_8 t_8 (Idm.add i_7 t_7 (Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))))))))) in
-	let o_1,o_2 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) (ref (Id (i_7,t_7))) (ref (Id (i_8,t_8))) (ref (Id (i_9,t_9))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let val_7 =
+		let res_7 = ref (Arg (Avar i_7,t_7)) in
+		fun () -> res_7 in
+	let val_8 =
+		let res_8 = ref (Arg (Avar i_8,t_8)) in
+		fun () -> res_8 in
+	let val_9 =
+		let res_9 = ref (Arg (Avar i_9,t_9)) in
+		fun () -> res_9 in
+	let o_1,o_2 = circuit val_1 val_2 val_3 val_4 val_5 val_6 val_7 val_8 val_9 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
 	match arg_1,arg_2 with
 	| Avar id_1,Avar id_2 -> {
 		p_eqs = eqs;
@@ -1762,10 +2788,37 @@ let main_9_3 circuit t_1 t_2 t_3 t_4 t_5 t_6 t_7 t_8 t_9 =
 	let i_9 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_9 t_9 (Idm.add i_8 t_8 (Idm.add i_7 t_7 (Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))))))))) in
-	let o_1,o_2,o_3 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) (ref (Id (i_7,t_7))) (ref (Id (i_8,t_8))) (ref (Id (i_9,t_9))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let val_7 =
+		let res_7 = ref (Arg (Avar i_7,t_7)) in
+		fun () -> res_7 in
+	let val_8 =
+		let res_8 = ref (Arg (Avar i_8,t_8)) in
+		fun () -> res_8 in
+	let val_9 =
+		let res_9 = ref (Arg (Avar i_9,t_9)) in
+		fun () -> res_9 in
+	let o_1,o_2,o_3 = circuit val_1 val_2 val_3 val_4 val_5 val_6 val_7 val_8 val_9 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
 	match arg_1,arg_2,arg_3 with
 	| Avar id_1,Avar id_2,Avar id_3 -> {
 		p_eqs = eqs;
@@ -1786,11 +2839,38 @@ let main_9_4 circuit t_1 t_2 t_3 t_4 t_5 t_6 t_7 t_8 t_9 =
 	let i_9 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_9 t_9 (Idm.add i_8 t_8 (Idm.add i_7 t_7 (Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))))))))) in
-	let o_1,o_2,o_3,o_4 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) (ref (Id (i_7,t_7))) (ref (Id (i_8,t_8))) (ref (Id (i_9,t_9))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let val_7 =
+		let res_7 = ref (Arg (Avar i_7,t_7)) in
+		fun () -> res_7 in
+	let val_8 =
+		let res_8 = ref (Arg (Avar i_8,t_8)) in
+		fun () -> res_8 in
+	let val_9 =
+		let res_9 = ref (Arg (Avar i_9,t_9)) in
+		fun () -> res_9 in
+	let o_1,o_2,o_3,o_4 = circuit val_1 val_2 val_3 val_4 val_5 val_6 val_7 val_8 val_9 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
 	match arg_1,arg_2,arg_3,arg_4 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4 -> {
 		p_eqs = eqs;
@@ -1811,12 +2891,39 @@ let main_9_5 circuit t_1 t_2 t_3 t_4 t_5 t_6 t_7 t_8 t_9 =
 	let i_9 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_9 t_9 (Idm.add i_8 t_8 (Idm.add i_7 t_7 (Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))))))))) in
-	let o_1,o_2,o_3,o_4,o_5 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) (ref (Id (i_7,t_7))) (ref (Id (i_8,t_8))) (ref (Id (i_9,t_9))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let val_7 =
+		let res_7 = ref (Arg (Avar i_7,t_7)) in
+		fun () -> res_7 in
+	let val_8 =
+		let res_8 = ref (Arg (Avar i_8,t_8)) in
+		fun () -> res_8 in
+	let val_9 =
+		let res_9 = ref (Arg (Avar i_9,t_9)) in
+		fun () -> res_9 in
+	let o_1,o_2,o_3,o_4,o_5 = circuit val_1 val_2 val_3 val_4 val_5 val_6 val_7 val_8 val_9 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5 -> {
 		p_eqs = eqs;
@@ -1837,13 +2944,40 @@ let main_9_6 circuit t_1 t_2 t_3 t_4 t_5 t_6 t_7 t_8 t_9 =
 	let i_9 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_9 t_9 (Idm.add i_8 t_8 (Idm.add i_7 t_7 (Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))))))))) in
-	let o_1,o_2,o_3,o_4,o_5,o_6 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) (ref (Id (i_7,t_7))) (ref (Id (i_8,t_8))) (ref (Id (i_9,t_9))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let val_7 =
+		let res_7 = ref (Arg (Avar i_7,t_7)) in
+		fun () -> res_7 in
+	let val_8 =
+		let res_8 = ref (Arg (Avar i_8,t_8)) in
+		fun () -> res_8 in
+	let val_9 =
+		let res_9 = ref (Arg (Avar i_9,t_9)) in
+		fun () -> res_9 in
+	let o_1,o_2,o_3,o_4,o_5,o_6 = circuit val_1 val_2 val_3 val_4 val_5 val_6 val_7 val_8 val_9 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6 -> {
 		p_eqs = eqs;
@@ -1864,14 +2998,41 @@ let main_9_7 circuit t_1 t_2 t_3 t_4 t_5 t_6 t_7 t_8 t_9 =
 	let i_9 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_9 t_9 (Idm.add i_8 t_8 (Idm.add i_7 t_7 (Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))))))))) in
-	let o_1,o_2,o_3,o_4,o_5,o_6,o_7 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) (ref (Id (i_7,t_7))) (ref (Id (i_8,t_8))) (ref (Id (i_9,t_9))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
-	let arg_7,_,eqs,vars = calc eqs vars o_7 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let val_7 =
+		let res_7 = ref (Arg (Avar i_7,t_7)) in
+		fun () -> res_7 in
+	let val_8 =
+		let res_8 = ref (Arg (Avar i_8,t_8)) in
+		fun () -> res_8 in
+	let val_9 =
+		let res_9 = ref (Arg (Avar i_9,t_9)) in
+		fun () -> res_9 in
+	let o_1,o_2,o_3,o_4,o_5,o_6,o_7 = circuit val_1 val_2 val_3 val_4 val_5 val_6 val_7 val_8 val_9 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
+	let arg_7,_,eqs,vars = calc Iset.empty eqs vars o_7 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6,arg_7 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6,Avar id_7 -> {
 		p_eqs = eqs;
@@ -1892,15 +3053,42 @@ let main_9_8 circuit t_1 t_2 t_3 t_4 t_5 t_6 t_7 t_8 t_9 =
 	let i_9 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_9 t_9 (Idm.add i_8 t_8 (Idm.add i_7 t_7 (Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))))))))) in
-	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) (ref (Id (i_7,t_7))) (ref (Id (i_8,t_8))) (ref (Id (i_9,t_9))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
-	let arg_7,_,eqs,vars = calc eqs vars o_7 in
-	let arg_8,_,eqs,vars = calc eqs vars o_8 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let val_7 =
+		let res_7 = ref (Arg (Avar i_7,t_7)) in
+		fun () -> res_7 in
+	let val_8 =
+		let res_8 = ref (Arg (Avar i_8,t_8)) in
+		fun () -> res_8 in
+	let val_9 =
+		let res_9 = ref (Arg (Avar i_9,t_9)) in
+		fun () -> res_9 in
+	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8 = circuit val_1 val_2 val_3 val_4 val_5 val_6 val_7 val_8 val_9 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
+	let arg_7,_,eqs,vars = calc Iset.empty eqs vars o_7 in
+	let arg_8,_,eqs,vars = calc Iset.empty eqs vars o_8 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6,arg_7,arg_8 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6,Avar id_7,Avar id_8 -> {
 		p_eqs = eqs;
@@ -1921,16 +3109,43 @@ let main_9_9 circuit t_1 t_2 t_3 t_4 t_5 t_6 t_7 t_8 t_9 =
 	let i_9 = id "" in
 	let eqs = [] in
 	let vars = Idm.add i_9 t_9 (Idm.add i_8 t_8 (Idm.add i_7 t_7 (Idm.add i_6 t_6 (Idm.add i_5 t_5 (Idm.add i_4 t_4 (Idm.add i_3 t_3 (Idm.add i_2 t_2 (Idm.add i_1 t_1 (Idm.empty))))))))) in
-	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8,o_9 = circuit (ref (Id (i_1,t_1))) (ref (Id (i_2,t_2))) (ref (Id (i_3,t_3))) (ref (Id (i_4,t_4))) (ref (Id (i_5,t_5))) (ref (Id (i_6,t_6))) (ref (Id (i_7,t_7))) (ref (Id (i_8,t_8))) (ref (Id (i_9,t_9))) in
-	let arg_1,_,eqs,vars = calc eqs vars o_1 in
-	let arg_2,_,eqs,vars = calc eqs vars o_2 in
-	let arg_3,_,eqs,vars = calc eqs vars o_3 in
-	let arg_4,_,eqs,vars = calc eqs vars o_4 in
-	let arg_5,_,eqs,vars = calc eqs vars o_5 in
-	let arg_6,_,eqs,vars = calc eqs vars o_6 in
-	let arg_7,_,eqs,vars = calc eqs vars o_7 in
-	let arg_8,_,eqs,vars = calc eqs vars o_8 in
-	let arg_9,_,eqs,vars = calc eqs vars o_9 in
+	let val_1 =
+		let res_1 = ref (Arg (Avar i_1,t_1)) in
+		fun () -> res_1 in
+	let val_2 =
+		let res_2 = ref (Arg (Avar i_2,t_2)) in
+		fun () -> res_2 in
+	let val_3 =
+		let res_3 = ref (Arg (Avar i_3,t_3)) in
+		fun () -> res_3 in
+	let val_4 =
+		let res_4 = ref (Arg (Avar i_4,t_4)) in
+		fun () -> res_4 in
+	let val_5 =
+		let res_5 = ref (Arg (Avar i_5,t_5)) in
+		fun () -> res_5 in
+	let val_6 =
+		let res_6 = ref (Arg (Avar i_6,t_6)) in
+		fun () -> res_6 in
+	let val_7 =
+		let res_7 = ref (Arg (Avar i_7,t_7)) in
+		fun () -> res_7 in
+	let val_8 =
+		let res_8 = ref (Arg (Avar i_8,t_8)) in
+		fun () -> res_8 in
+	let val_9 =
+		let res_9 = ref (Arg (Avar i_9,t_9)) in
+		fun () -> res_9 in
+	let o_1,o_2,o_3,o_4,o_5,o_6,o_7,o_8,o_9 = circuit val_1 val_2 val_3 val_4 val_5 val_6 val_7 val_8 val_9 in
+	let arg_1,_,eqs,vars = calc Iset.empty eqs vars o_1 in
+	let arg_2,_,eqs,vars = calc Iset.empty eqs vars o_2 in
+	let arg_3,_,eqs,vars = calc Iset.empty eqs vars o_3 in
+	let arg_4,_,eqs,vars = calc Iset.empty eqs vars o_4 in
+	let arg_5,_,eqs,vars = calc Iset.empty eqs vars o_5 in
+	let arg_6,_,eqs,vars = calc Iset.empty eqs vars o_6 in
+	let arg_7,_,eqs,vars = calc Iset.empty eqs vars o_7 in
+	let arg_8,_,eqs,vars = calc Iset.empty eqs vars o_8 in
+	let arg_9,_,eqs,vars = calc Iset.empty eqs vars o_9 in
 	match arg_1,arg_2,arg_3,arg_4,arg_5,arg_6,arg_7,arg_8,arg_9 with
 	| Avar id_1,Avar id_2,Avar id_3,Avar id_4,Avar id_5,Avar id_6,Avar id_7,Avar id_8,Avar id_9 -> {
 		p_eqs = eqs;
diff --git a/cpu/netlist_gen.mli b/cpu/netlist_gen.mli
index 9dd7b62..69a165a 100644
--- a/cpu/netlist_gen.mli
+++ b/cpu/netlist_gen.mli
@@ -1,4 +1,4 @@
-type t
+type t = unit -> Netlist_proc.res ref
 
 val print : out_channel -> Netlist_ast.program -> unit
 
@@ -23,6 +23,8 @@ val rom : string -> int -> int -> t -> t
 
 val ram : int -> int -> t -> t -> t -> t -> t
 
+val reg : int -> t -> t
+
 val main_0_1 : t -> Netlist_ast.program
 val main_0_2 : t * t -> Netlist_ast.program
 val main_0_3 : t * t * t -> Netlist_ast.program
diff --git a/cpu/netlist_proc.ml b/cpu/netlist_proc.ml
index 99dde22..ae3acdb 100644
--- a/cpu/netlist_proc.ml
+++ b/cpu/netlist_proc.ml
@@ -2,118 +2,181 @@ open Netlist_ast
 
 (* module Idm = Map.Make (String) *)
 module Idm = Env
+(*module Imap = Map.Make(struct type t = int let compare = compare end)*)
+module Iset = Set.Make (struct type t = int let compare = compare end)
+
+type res =
+    | Arg of (arg * int)
+    | Calc of (Iset.t -> equation list -> int Idm.t ->
+        arg * int * equation list * int Idm.t)
 
 type calc =
-    | Id of (ident * int)
-    | Eq of (equation list -> int Idm.t -> arg * int * equation list * int Idm.t)
-    | Const of (bool array)
+    unit -> res ref
 
 let id =
     let cnt = ref 0 in
-    fun n -> 
-        let res = n ^ "_xoxo_" ^ (string_of_int !cnt) in
+    fun s -> 
+        let res = s ^ "_xoxo_" ^ (string_of_int !cnt) in
         incr cnt; res
 
+let id2 =
+    let cnt = ref 0 in
+    fun () ->
+        let v = !cnt in incr cnt; v
+
 let value n =
     let l = String.length n in
-    ref (Const (Array.init l (fun i -> n.[i] = '1')))
+    let v = Array.init l (fun i -> n.[i] = '1') in
+    let res = ref (Arg (Aconst v,l)) in
+    fun () -> res
     
-let calc eqs vars e =
-    match !e with
-    | Id (id,t) -> Avar id,t,eqs,vars
-    | Eq c ->
-        let arg,t,eqs,vars = c eqs vars in
-        let () = 
-            match arg with
-            | Avar id -> e := Id (id,t)
-            | Aconst v -> e := Const v in
-        arg,t,eqs,vars
-    | Const v -> Aconst v,(Array.length v),eqs,vars
- 
+let calc ids eqs vars e =
+    let res = e () in
+    match !res with
+    | Calc c -> 
+        let a,t,eqs,vars = c ids eqs vars in
+        ( res := Arg (a,t); a, t, eqs, vars )
+    | Arg (a,t) -> a,t,eqs,vars
+
+(*let calc_rec t ids eqs vars e =
+    let res,ide = e () in
+    try let id,_ = Imap.find ide ids in
+        Avar id, t, eqs, vars, ids
+    with Not_found ->
+        match !res with
+        | Calc c ->
+            let id = id "" in
+            let a,t,eqs,vars = c (Imap.add ide (id,t) ids) eqs vars in
+            ( res := Arg (a,t); a, t, eqs, vars )
+        | Arg (a,t) -> a,t,eqs,vars*)
+
 let ( ++ ) a b =
-    ref (Eq (fun eqs vars ->
-        let arga,ta,eqs,vars = calc eqs vars a in
-        let argb,tb,eqs,vars = calc eqs vars b in
-        let res = id "" in
-        Avar res, (ta+tb), (res,Econcat (arga, argb))::eqs, Idm.add res (ta+tb) vars))
+    let res = ref (Calc (
+        fun ids eqs vars ->
+            let arga,ta,eqs,vars = calc ids eqs vars a in
+            let argb,tb,eqs,vars = calc ids eqs vars b in
+            let res = id "" in
+            Avar res, (ta+tb), (res,Econcat (arga, argb))::eqs, 
+                Idm.add res (ta+tb) vars)) in
+    fun () -> res
         
-let ( ^^ ) a b = ref (Eq (fun eqs vars ->
-    let arga,ta,eqs,vars = calc eqs vars a in
-    let argb,tb,eqs,vars = calc eqs vars b in
-    if ta = tb then
-        let res = id "" in 
-        Avar res, (ta), (res,Ebinop (Xor,arga, argb))::eqs, Idm.add res (ta) vars
-    else assert false))
+let ( ^^ ) a b =
+    let res = ref (Calc (
+        fun ids eqs vars ->
+            let arga,ta,eqs,vars = calc ids eqs vars a in
+            let argb,tb,eqs,vars = calc ids eqs vars b in
+            if ta = tb then
+                let res = id "" in 
+                Avar res, (ta), (res,Ebinop (Xor,arga, argb))::eqs, Idm.add res (ta) vars
+            else assert false)) in
+    fun () -> res
     
-let ( ^| ) a b = ref (Eq (fun eqs vars ->
-    let arga,ta,eqs,vars = calc eqs vars a in
-    let argb,tb,eqs,vars = calc eqs vars b in
-    if ta = tb then
-        let res = id "" in 
-        Avar res, (ta), (res,Ebinop (Or,arga, argb))::eqs, Idm.add res (ta) vars
-    else assert false))
+let ( ^| ) a b =
+    let res = ref (Calc (
+        fun ids eqs vars ->
+            let arga,ta,eqs,vars = calc ids eqs vars a in
+            let argb,tb,eqs,vars = calc ids eqs vars b in
+            if ta = tb then
+                let res = id "" in 
+                Avar res, (ta), (res,Ebinop (Or,arga, argb))::eqs, Idm.add res (ta) vars
+            else assert false)) in
+    fun () -> res
     
-let ( ^& ) a b = ref (Eq (fun eqs vars ->
-    let arga,ta,eqs,vars = calc eqs vars a in
-    let argb,tb,eqs,vars = calc eqs vars b in
-    if ta = tb then
-        let res = id "" in 
-        Avar res, (ta), (res,Ebinop (And,arga, argb))::eqs, Idm.add res (ta) vars
-    else assert false))
-
-let ( ^$ ) a b = ref (Eq (fun eqs vars ->
-    let arga,ta,eqs,vars = calc eqs vars a in
-    let argb,tb,eqs,vars = calc eqs vars b in
-    if ta = tb then
-        let res = id "" in 
-        Avar res, (ta), (res,Ebinop (Nand,arga, argb))::eqs, Idm.add res (ta) vars
-    else assert false))
-
-let not a = ref (Eq (fun eqs vars ->
-    let arga,ta,eqs,vars = calc eqs vars a in
-    let res = id "" in
-    Avar res, ta, (res,Enot arga)::eqs, Idm.add res ta vars))
-    
-let mux a b c = ref (Eq (fun eqs vars ->
-    let arga,ta,eqs,vars = calc eqs vars a in
-    let argb,tb,eqs,vars = calc eqs vars b in
-    let argc,tc,eqs,vars = calc eqs vars c in
-    if ta = 1 && tb = tc then
-        let res = id "" in
-        Avar res, tb, (res,Emux (arga,argb,argc))::eqs, Idm.add res tb vars
-    else assert false))
-
-let ( ** ) a n = ref (Eq (fun eqs vars ->
-    let arga,ta,eqs,vars = calc eqs vars a in
-    if n >= ta then assert false
-    else if ta = 1 then arga,ta,eqs,vars
-    else let res = id "" in
-        Avar res, 1, (res,Eselect (n,arga))::eqs, Idm.add res 1 vars))
-
-let ( % ) a (i,j) = ref (Eq (fun eqs vars ->
-    let arga,ta,eqs,vars = calc eqs vars a in
-    if j > ta then assert false
-    else if i > j then assert false
-    else if j-i+1 = ta then arga,ta,eqs,vars
-    else let res = id "" in
-        Avar res, (j-i+1), (res,Eslice (i,j,arga))::eqs, Idm.add res (j-i+1) vars))
-
-let rom name a_s w_s a = ref (Eq (fun eqs vars ->
-    let arga,ta,eqs,vars = calc eqs vars a in
-    if ta = a_s && w_s > 0 then
-        let res = id name in
-        Avar res, w_s, (res,Erom (a_s,w_s,arga))::eqs, Idm.add res w_s vars
-    else assert false))
-
-let ram a_s w_s ra we wa d = ref (Eq (fun eqs vars ->
-    let argra,tra,eqs,vars = calc eqs vars ra in
-    let argwe,twe,eqs,vars = calc eqs vars we in
-    let argwa,twa,eqs,vars = calc eqs vars wa in
-    let argd,td,eqs,vars = calc eqs vars d in
-    if tra = a_s && twa = a_s && td = w_s && twe = 1 then
+let ( ^& ) a b =
+    let res = ref (Calc (fun ids eqs vars ->
+        let arga,ta,eqs,vars = calc ids eqs vars a in
+        let argb,tb,eqs,vars = calc ids eqs vars b in
+        if ta = tb then
+            let res = id "" in 
+            Avar res, (ta), (res,Ebinop (And,arga, argb))::eqs, Idm.add res (ta) vars
+        else assert false)) in
+    fun () -> res
+
+let ( ^$ ) a b =
+    let res = ref (Calc (fun ids eqs vars ->
+        let arga,ta,eqs,vars = calc ids eqs vars a in
+        let argb,tb,eqs,vars = calc ids eqs vars b in
+        if ta = tb then
+            let res = id "" in 
+            Avar res, (ta), (res,Ebinop (Nand,arga, argb))::eqs, Idm.add res (ta) vars
+        else assert false)) in
+    fun () -> res
+
+let not a =
+    let res = ref (Calc (fun ids eqs vars ->
+        let arga,ta,eqs,vars = calc ids eqs vars a in
         let res = id "" in
-        Avar res, w_s, (res,Eram (a_s,w_s,argra,argwe,argwa,argd))::eqs, Idm.add res w_s vars
-    else assert false))
+        Avar res, ta, (res,Enot arga)::eqs, Idm.add res ta vars)) in
+    fun () -> res
+    
+let mux a b c =
+    let res = ref (Calc (fun ids eqs vars ->
+        let arga,ta,eqs,vars = calc ids eqs vars a in
+        let argb,tb,eqs,vars = calc ids eqs vars b in
+        let argc,tc,eqs,vars = calc ids eqs vars c in
+        if ta = 1 && tb = tc then
+            let res = id "" in
+            Avar res, tb, (res,Emux (arga,argb,argc))::eqs, Idm.add res tb vars
+        else assert false)) in
+    fun () -> res
+
+let ( ** ) a n =
+    let res = ref (Calc (fun ids eqs vars ->
+        let arga,ta,eqs,vars = calc ids eqs vars a in
+        if n >= ta then assert false
+        else if ta = 1 then arga,ta,eqs,vars
+        else let res = id "" in
+            Avar res, 1, (res,Eselect (n,arga))::eqs, Idm.add res 1 vars)) in
+    fun () -> res
+
+let ( % ) a (i,j) =
+    let res = ref (Calc (fun ids eqs vars ->
+        let arga,ta,eqs,vars = calc ids eqs vars a in
+        if j > ta then assert false
+        else if i > j then assert false
+        else if j-i+1 = ta then arga,ta,eqs,vars
+        else let res = id "" in
+            Avar res, (j-i+1), (res,Eslice (i,j,arga))::eqs,
+                Idm.add res (j-i+1) vars)) in
+    fun () -> res
+
+let rom prefix a_s w_s a =
+    let res = ref (Calc (fun ids eqs vars ->
+        let arga,ta,eqs,vars = calc ids eqs vars a in
+        if ta = a_s && w_s > 0 then
+            let res = id prefix in
+            Avar res, w_s, (res,Erom (a_s,w_s,arga))::eqs, Idm.add res w_s vars
+        else assert false)) in
+    fun () -> res
+
+let ram a_s w_s ra we wa = 
+    let id2 = id2 () in
+    let id = id "" in
+    fun d ->
+    let res = ref (Calc (fun ids eqs vars ->
+        if Iset.mem id2 ids then Avar id, w_s, eqs, vars
+        else let argra,tra,eqs,vars = calc ids eqs vars ra in
+        let ids = Iset.add id2 ids in
+        let argwe,twe,eqs,vars = calc ids eqs vars we in
+        let argwa,twa,eqs,vars = calc ids eqs vars wa in
+        let argd,td,eqs,vars = calc ids eqs vars d in
+        if tra = a_s && twa = a_s && td = w_s && twe = 1 then
+            Avar id, w_s, (id,Eram (a_s,w_s,argra,argwe,argwa,argd))::eqs, Idm.add id w_s vars
+        else assert false)) in
+    fun () -> res
+
+let reg n =
+    let id2 = id2 () in
+    let id = id "" in fun a ->
+    let res = ref (Calc (fun ids eqs vars ->
+        if Iset.mem id2 ids then Avar id, n, eqs, vars
+        else let arga,ta,eqs,vars = calc (Iset.add id2 ids) eqs vars a in
+            if ta = n then
+                match arga with
+                | Avar id' -> Avar id, n, (id,Ereg id')::eqs, Idm.add id n vars
+                | _ -> assert false
+            else assert false)) in
+    fun () -> res
 
 let init_string n f =
     let s = String.make n 'a' in