Initial Problem
Start: n_eval_textbook_ex4_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: n_eval_textbook_ex4_bb0_in___17, n_eval_textbook_ex4_bb1_in___16, n_eval_textbook_ex4_bb1_in___5, n_eval_textbook_ex4_bb1_in___8, n_eval_textbook_ex4_bb2_in___11, n_eval_textbook_ex4_bb2_in___15, n_eval_textbook_ex4_bb2_in___4, n_eval_textbook_ex4_bb3_in___10, n_eval_textbook_ex4_bb3_in___13, n_eval_textbook_ex4_bb4_in___12, n_eval_textbook_ex4_bb4_in___9, n_eval_textbook_ex4_bb5_in___14, n_eval_textbook_ex4_bb5_in___3, n_eval_textbook_ex4_bb5_in___7, n_eval_textbook_ex4_start, n_eval_textbook_ex4_stop___1, n_eval_textbook_ex4_stop___2, n_eval_textbook_ex4_stop___6
Transitions:
0:n_eval_textbook_ex4_bb0_in___17(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb1_in___16(Arg_0,1,Arg_2,Arg_3)
1:n_eval_textbook_ex4_bb1_in___16(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb2_in___15(1,Arg_1,Arg_2,Arg_3):|:Arg_1<=1 && 1<=Arg_1 && Arg_1<=Arg_3
2:n_eval_textbook_ex4_bb1_in___16(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb5_in___14(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=1 && 1<=Arg_1 && Arg_3<Arg_1
3:n_eval_textbook_ex4_bb1_in___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb2_in___4(1,Arg_1,Arg_2,Arg_3):|:Arg_2<1 && Arg_1<=Arg_3
4:n_eval_textbook_ex4_bb1_in___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb5_in___3(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<1 && Arg_3<Arg_1
5:n_eval_textbook_ex4_bb1_in___8(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb2_in___15(1,Arg_1,Arg_2,Arg_3):|:Arg_1<=Arg_3
6:n_eval_textbook_ex4_bb1_in___8(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb5_in___7(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<Arg_1
7:n_eval_textbook_ex4_bb2_in___11(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb3_in___10(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=Arg_2
8:n_eval_textbook_ex4_bb2_in___11(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb4_in___9(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<Arg_0
9:n_eval_textbook_ex4_bb2_in___15(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb3_in___13(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=1 && 1<=Arg_0 && Arg_1<=Arg_3 && Arg_0<=Arg_2
10:n_eval_textbook_ex4_bb2_in___15(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb4_in___12(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=1 && 1<=Arg_0 && Arg_1<=Arg_3 && Arg_2<Arg_0
11:n_eval_textbook_ex4_bb2_in___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb4_in___12(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<Arg_0 && Arg_0<=1 && 1<=Arg_0 && Arg_1<=Arg_3 && Arg_2<Arg_0
12:n_eval_textbook_ex4_bb3_in___10(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb2_in___11(Arg_0+1,Arg_1,Arg_2,Arg_3):|:Arg_0<=Arg_2
13:n_eval_textbook_ex4_bb3_in___13(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb2_in___11(Arg_0+1,Arg_1,Arg_2,Arg_3):|:Arg_1<=Arg_3 && 1<=Arg_2 && Arg_0<=1 && 1<=Arg_0
14:n_eval_textbook_ex4_bb4_in___12(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb1_in___5(Arg_0,Arg_1+1,Arg_2,Arg_3):|:Arg_1<=Arg_3 && Arg_2<1 && Arg_0<=1 && 1<=Arg_0
15:n_eval_textbook_ex4_bb4_in___9(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb1_in___8(Arg_0,Arg_1+1,Arg_2,Arg_3):|:Arg_2<Arg_0
16:n_eval_textbook_ex4_bb5_in___14(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_stop___1(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<1 && Arg_1<=1 && 1<=Arg_1
17:n_eval_textbook_ex4_bb5_in___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_stop___2(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<1 && Arg_3<Arg_1
18:n_eval_textbook_ex4_bb5_in___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_stop___6(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<Arg_1
19:n_eval_textbook_ex4_start(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb0_in___17(Arg_0,Arg_1,Arg_2,Arg_3)
Preprocessing
Found invariant Arg_1<=1 && 1<=Arg_1 for location n_eval_textbook_ex4_bb1_in___16
Found invariant 1<=Arg_3 && 1+Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_2<=0 && 1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && Arg_0+Arg_2<=1 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 for location n_eval_textbook_ex4_bb4_in___12
Found invariant 1+Arg_3<=Arg_1 && 1<=Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_2<=0 && 2+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && Arg_0+Arg_2<=1 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 for location n_eval_textbook_ex4_stop___2
Found invariant 1<=Arg_3 && 2<=Arg_2+Arg_3 && 3<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_textbook_ex4_bb1_in___8
Found invariant 1<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 for location n_eval_textbook_ex4_bb2_in___15
Found invariant 2<=Arg_3 && 2+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && Arg_2<=0 && 2+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && Arg_0+Arg_2<=1 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 for location n_eval_textbook_ex4_bb2_in___4
Found invariant 1+Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && 3<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_textbook_ex4_stop___6
Found invariant Arg_3<=0 && 1+Arg_3<=Arg_1 && Arg_1+Arg_3<=1 && Arg_1<=1 && 1<=Arg_1 for location n_eval_textbook_ex4_bb5_in___14
Found invariant 1<=Arg_3 && 2<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_textbook_ex4_bb4_in___9
Found invariant 1<=Arg_3 && 3<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 3<=Arg_0+Arg_3 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_textbook_ex4_bb3_in___10
Found invariant 1+Arg_3<=Arg_1 && 1<=Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_2<=0 && 2+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && Arg_0+Arg_2<=1 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 for location n_eval_textbook_ex4_bb5_in___3
Found invariant Arg_3<=0 && 1+Arg_3<=Arg_1 && Arg_1+Arg_3<=1 && Arg_1<=1 && 1<=Arg_1 for location n_eval_textbook_ex4_stop___1
Found invariant 1<=Arg_3 && 2<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 3<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_textbook_ex4_bb2_in___11
Found invariant 1<=Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_2<=0 && 2+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && Arg_0+Arg_2<=1 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 for location n_eval_textbook_ex4_bb1_in___5
Found invariant 1<=Arg_3 && 2<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 for location n_eval_textbook_ex4_bb3_in___13
Found invariant 1+Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && 3<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_textbook_ex4_bb5_in___7
Problem after Preprocessing
Start: n_eval_textbook_ex4_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: n_eval_textbook_ex4_bb0_in___17, n_eval_textbook_ex4_bb1_in___16, n_eval_textbook_ex4_bb1_in___5, n_eval_textbook_ex4_bb1_in___8, n_eval_textbook_ex4_bb2_in___11, n_eval_textbook_ex4_bb2_in___15, n_eval_textbook_ex4_bb2_in___4, n_eval_textbook_ex4_bb3_in___10, n_eval_textbook_ex4_bb3_in___13, n_eval_textbook_ex4_bb4_in___12, n_eval_textbook_ex4_bb4_in___9, n_eval_textbook_ex4_bb5_in___14, n_eval_textbook_ex4_bb5_in___3, n_eval_textbook_ex4_bb5_in___7, n_eval_textbook_ex4_start, n_eval_textbook_ex4_stop___1, n_eval_textbook_ex4_stop___2, n_eval_textbook_ex4_stop___6
Transitions:
0:n_eval_textbook_ex4_bb0_in___17(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb1_in___16(Arg_0,1,Arg_2,Arg_3)
1:n_eval_textbook_ex4_bb1_in___16(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb2_in___15(1,Arg_1,Arg_2,Arg_3):|:Arg_1<=1 && 1<=Arg_1 && Arg_1<=1 && 1<=Arg_1 && Arg_1<=Arg_3
2:n_eval_textbook_ex4_bb1_in___16(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb5_in___14(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=1 && 1<=Arg_1 && Arg_1<=1 && 1<=Arg_1 && Arg_3<Arg_1
3:n_eval_textbook_ex4_bb1_in___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb2_in___4(1,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_2<=0 && 2+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && Arg_0+Arg_2<=1 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 && Arg_2<1 && Arg_1<=Arg_3
4:n_eval_textbook_ex4_bb1_in___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb5_in___3(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_2<=0 && 2+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && Arg_0+Arg_2<=1 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 && Arg_2<1 && Arg_3<Arg_1
5:n_eval_textbook_ex4_bb1_in___8(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb2_in___15(1,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 2<=Arg_2+Arg_3 && 3<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_1<=Arg_3
6:n_eval_textbook_ex4_bb1_in___8(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb5_in___7(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 2<=Arg_2+Arg_3 && 3<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_3<Arg_1
7:n_eval_textbook_ex4_bb2_in___11(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb3_in___10(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 2<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 3<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_0<=Arg_2
8:n_eval_textbook_ex4_bb2_in___11(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb4_in___9(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 2<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 3<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<Arg_0
9:n_eval_textbook_ex4_bb2_in___15(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb3_in___13(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 && Arg_0<=1 && 1<=Arg_0 && Arg_1<=Arg_3 && Arg_0<=Arg_2
10:n_eval_textbook_ex4_bb2_in___15(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb4_in___12(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 && Arg_0<=1 && 1<=Arg_0 && Arg_1<=Arg_3 && Arg_2<Arg_0
11:n_eval_textbook_ex4_bb2_in___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb4_in___12(Arg_0,Arg_1,Arg_2,Arg_3):|:2<=Arg_3 && 2+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && Arg_2<=0 && 2+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && Arg_0+Arg_2<=1 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 && Arg_2<Arg_0 && Arg_0<=1 && 1<=Arg_0 && Arg_1<=Arg_3 && Arg_2<Arg_0
12:n_eval_textbook_ex4_bb3_in___10(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb2_in___11(Arg_0+1,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 3<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 3<=Arg_0+Arg_3 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_0<=Arg_2
13:n_eval_textbook_ex4_bb3_in___13(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb2_in___11(Arg_0+1,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 2<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 && Arg_1<=Arg_3 && 1<=Arg_2 && Arg_0<=1 && 1<=Arg_0
14:n_eval_textbook_ex4_bb4_in___12(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb1_in___5(Arg_0,Arg_1+1,Arg_2,Arg_3):|:1<=Arg_3 && 1+Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_2<=0 && 1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && Arg_0+Arg_2<=1 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 && Arg_1<=Arg_3 && Arg_2<1 && Arg_0<=1 && 1<=Arg_0
15:n_eval_textbook_ex4_bb4_in___9(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb1_in___8(Arg_0,Arg_1+1,Arg_2,Arg_3):|:1<=Arg_3 && 2<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<Arg_0
16:n_eval_textbook_ex4_bb5_in___14(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_stop___1(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=0 && 1+Arg_3<=Arg_1 && Arg_1+Arg_3<=1 && Arg_1<=1 && 1<=Arg_1 && Arg_3<1 && Arg_1<=1 && 1<=Arg_1
17:n_eval_textbook_ex4_bb5_in___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_stop___2(Arg_0,Arg_1,Arg_2,Arg_3):|:1+Arg_3<=Arg_1 && 1<=Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_2<=0 && 2+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && Arg_0+Arg_2<=1 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 && Arg_2<1 && Arg_3<Arg_1
18:n_eval_textbook_ex4_bb5_in___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_stop___6(Arg_0,Arg_1,Arg_2,Arg_3):|:1+Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && 3<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_3<Arg_1
19:n_eval_textbook_ex4_start(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb0_in___17(Arg_0,Arg_1,Arg_2,Arg_3)
MPRF for transition 5:n_eval_textbook_ex4_bb1_in___8(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb2_in___15(1,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 2<=Arg_2+Arg_3 && 3<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_1<=Arg_3 of depth 1:
new bound:
Arg_3+1 {O(n)}
MPRF:
n_eval_textbook_ex4_bb2_in___15 [Arg_3-Arg_1 ]
n_eval_textbook_ex4_bb3_in___10 [Arg_3-Arg_1 ]
n_eval_textbook_ex4_bb3_in___13 [Arg_3-Arg_1 ]
n_eval_textbook_ex4_bb2_in___11 [Arg_3-Arg_1 ]
n_eval_textbook_ex4_bb4_in___9 [Arg_3-Arg_1 ]
n_eval_textbook_ex4_bb1_in___8 [Arg_3+1-Arg_1 ]
MPRF for transition 8:n_eval_textbook_ex4_bb2_in___11(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb4_in___9(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 2<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 3<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<Arg_0 of depth 1:
new bound:
Arg_3+2 {O(n)}
MPRF:
n_eval_textbook_ex4_bb2_in___15 [Arg_0+Arg_3-Arg_1 ]
n_eval_textbook_ex4_bb3_in___10 [Arg_3+1-Arg_1 ]
n_eval_textbook_ex4_bb3_in___13 [Arg_3+1-Arg_1 ]
n_eval_textbook_ex4_bb2_in___11 [Arg_3+1-Arg_1 ]
n_eval_textbook_ex4_bb4_in___9 [Arg_3-Arg_1 ]
n_eval_textbook_ex4_bb1_in___8 [Arg_3+1-Arg_1 ]
MPRF for transition 9:n_eval_textbook_ex4_bb2_in___15(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb3_in___13(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 && Arg_0<=1 && 1<=Arg_0 && Arg_1<=Arg_3 && Arg_0<=Arg_2 of depth 1:
new bound:
Arg_3+2 {O(n)}
MPRF:
n_eval_textbook_ex4_bb2_in___15 [Arg_3+1-Arg_1 ]
n_eval_textbook_ex4_bb3_in___10 [Arg_3-Arg_1 ]
n_eval_textbook_ex4_bb3_in___13 [Arg_3-Arg_1 ]
n_eval_textbook_ex4_bb2_in___11 [Arg_3-Arg_1 ]
n_eval_textbook_ex4_bb4_in___9 [Arg_3-Arg_1 ]
n_eval_textbook_ex4_bb1_in___8 [Arg_3+1-Arg_1 ]
MPRF for transition 13:n_eval_textbook_ex4_bb3_in___13(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb2_in___11(Arg_0+1,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 2<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 && Arg_1<=Arg_3 && 1<=Arg_2 && Arg_0<=1 && 1<=Arg_0 of depth 1:
new bound:
Arg_3+2 {O(n)}
MPRF:
n_eval_textbook_ex4_bb2_in___15 [Arg_0+Arg_3-Arg_1 ]
n_eval_textbook_ex4_bb3_in___10 [Arg_3-Arg_1 ]
n_eval_textbook_ex4_bb3_in___13 [Arg_3+1-Arg_1 ]
n_eval_textbook_ex4_bb2_in___11 [Arg_3-Arg_1 ]
n_eval_textbook_ex4_bb4_in___9 [Arg_3-Arg_1 ]
n_eval_textbook_ex4_bb1_in___8 [Arg_3+1-Arg_1 ]
MPRF for transition 15:n_eval_textbook_ex4_bb4_in___9(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb1_in___8(Arg_0,Arg_1+1,Arg_2,Arg_3):|:1<=Arg_3 && 2<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<Arg_0 of depth 1:
new bound:
2*Arg_3+1 {O(n)}
MPRF:
n_eval_textbook_ex4_bb2_in___15 [2*Arg_3-Arg_1 ]
n_eval_textbook_ex4_bb3_in___10 [2*Arg_3-Arg_1 ]
n_eval_textbook_ex4_bb3_in___13 [2*Arg_3-Arg_1 ]
n_eval_textbook_ex4_bb2_in___11 [2*Arg_3-Arg_1 ]
n_eval_textbook_ex4_bb4_in___9 [2*Arg_3-Arg_1 ]
n_eval_textbook_ex4_bb1_in___8 [2*Arg_3-Arg_1 ]
MPRF for transition 7:n_eval_textbook_ex4_bb2_in___11(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb3_in___10(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 2<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 3<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_0<=Arg_2 of depth 1:
new bound:
2*Arg_2*Arg_3+2*Arg_2 {O(n^2)}
MPRF:
n_eval_textbook_ex4_bb1_in___8 [Arg_2 ]
n_eval_textbook_ex4_bb4_in___9 [Arg_2-Arg_0 ]
n_eval_textbook_ex4_bb2_in___15 [Arg_2 ]
n_eval_textbook_ex4_bb3_in___10 [Arg_2-Arg_0 ]
n_eval_textbook_ex4_bb3_in___13 [Arg_2 ]
n_eval_textbook_ex4_bb2_in___11 [Arg_2+1-Arg_0 ]
MPRF for transition 12:n_eval_textbook_ex4_bb3_in___10(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb2_in___11(Arg_0+1,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 3<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 3<=Arg_0+Arg_3 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_0<=Arg_2 of depth 1:
new bound:
2*Arg_2*Arg_3+2*Arg_2+1 {O(n^2)}
MPRF:
n_eval_textbook_ex4_bb1_in___8 [Arg_2 ]
n_eval_textbook_ex4_bb4_in___9 [Arg_2-Arg_0 ]
n_eval_textbook_ex4_bb2_in___15 [Arg_2-Arg_0 ]
n_eval_textbook_ex4_bb3_in___10 [Arg_2+1-Arg_0 ]
n_eval_textbook_ex4_bb3_in___13 [Arg_2-Arg_0 ]
n_eval_textbook_ex4_bb2_in___11 [Arg_2+1-Arg_0 ]
MPRF for transition 3:n_eval_textbook_ex4_bb1_in___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb2_in___4(1,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_2<=0 && 2+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && Arg_0+Arg_2<=1 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 && Arg_2<1 && Arg_1<=Arg_3 of depth 1:
new bound:
Arg_3+1 {O(n)}
MPRF:
n_eval_textbook_ex4_bb2_in___4 [Arg_3-Arg_1 ]
n_eval_textbook_ex4_bb4_in___12 [Arg_3-Arg_1 ]
n_eval_textbook_ex4_bb1_in___5 [Arg_3+1-Arg_1 ]
MPRF for transition 11:n_eval_textbook_ex4_bb2_in___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb4_in___12(Arg_0,Arg_1,Arg_2,Arg_3):|:2<=Arg_3 && 2+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && Arg_2<=0 && 2+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && Arg_0+Arg_2<=1 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 && Arg_2<Arg_0 && Arg_0<=1 && 1<=Arg_0 && Arg_1<=Arg_3 && Arg_2<Arg_0 of depth 1:
new bound:
Arg_3+1 {O(n)}
MPRF:
n_eval_textbook_ex4_bb2_in___4 [Arg_3+1-Arg_1 ]
n_eval_textbook_ex4_bb4_in___12 [Arg_3-Arg_1 ]
n_eval_textbook_ex4_bb1_in___5 [Arg_3+1-Arg_1 ]
MPRF for transition 14:n_eval_textbook_ex4_bb4_in___12(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_textbook_ex4_bb1_in___5(Arg_0,Arg_1+1,Arg_2,Arg_3):|:1<=Arg_3 && 1+Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 2<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_2<=0 && 1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && Arg_0+Arg_2<=1 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 && Arg_1<=Arg_3 && Arg_2<1 && Arg_0<=1 && 1<=Arg_0 of depth 1:
new bound:
Arg_3+2 {O(n)}
MPRF:
n_eval_textbook_ex4_bb2_in___4 [Arg_3+1-Arg_1 ]
n_eval_textbook_ex4_bb4_in___12 [Arg_3+1-Arg_1 ]
n_eval_textbook_ex4_bb1_in___5 [Arg_3+1-Arg_1 ]
All Bounds
Timebounds
Overall timebound:4*Arg_2*Arg_3+4*Arg_2+9*Arg_3+23 {O(n^2)}
0: n_eval_textbook_ex4_bb0_in___17->n_eval_textbook_ex4_bb1_in___16: 1 {O(1)}
1: n_eval_textbook_ex4_bb1_in___16->n_eval_textbook_ex4_bb2_in___15: 1 {O(1)}
2: n_eval_textbook_ex4_bb1_in___16->n_eval_textbook_ex4_bb5_in___14: 1 {O(1)}
3: n_eval_textbook_ex4_bb1_in___5->n_eval_textbook_ex4_bb2_in___4: Arg_3+1 {O(n)}
4: n_eval_textbook_ex4_bb1_in___5->n_eval_textbook_ex4_bb5_in___3: 1 {O(1)}
5: n_eval_textbook_ex4_bb1_in___8->n_eval_textbook_ex4_bb2_in___15: Arg_3+1 {O(n)}
6: n_eval_textbook_ex4_bb1_in___8->n_eval_textbook_ex4_bb5_in___7: 1 {O(1)}
7: n_eval_textbook_ex4_bb2_in___11->n_eval_textbook_ex4_bb3_in___10: 2*Arg_2*Arg_3+2*Arg_2 {O(n^2)}
8: n_eval_textbook_ex4_bb2_in___11->n_eval_textbook_ex4_bb4_in___9: Arg_3+2 {O(n)}
9: n_eval_textbook_ex4_bb2_in___15->n_eval_textbook_ex4_bb3_in___13: Arg_3+2 {O(n)}
10: n_eval_textbook_ex4_bb2_in___15->n_eval_textbook_ex4_bb4_in___12: 1 {O(1)}
11: n_eval_textbook_ex4_bb2_in___4->n_eval_textbook_ex4_bb4_in___12: Arg_3+1 {O(n)}
12: n_eval_textbook_ex4_bb3_in___10->n_eval_textbook_ex4_bb2_in___11: 2*Arg_2*Arg_3+2*Arg_2+1 {O(n^2)}
13: n_eval_textbook_ex4_bb3_in___13->n_eval_textbook_ex4_bb2_in___11: Arg_3+2 {O(n)}
14: n_eval_textbook_ex4_bb4_in___12->n_eval_textbook_ex4_bb1_in___5: Arg_3+2 {O(n)}
15: n_eval_textbook_ex4_bb4_in___9->n_eval_textbook_ex4_bb1_in___8: 2*Arg_3+1 {O(n)}
16: n_eval_textbook_ex4_bb5_in___14->n_eval_textbook_ex4_stop___1: 1 {O(1)}
17: n_eval_textbook_ex4_bb5_in___3->n_eval_textbook_ex4_stop___2: 1 {O(1)}
18: n_eval_textbook_ex4_bb5_in___7->n_eval_textbook_ex4_stop___6: 1 {O(1)}
19: n_eval_textbook_ex4_start->n_eval_textbook_ex4_bb0_in___17: 1 {O(1)}
Costbounds
Overall costbound: 4*Arg_2*Arg_3+4*Arg_2+9*Arg_3+23 {O(n^2)}
0: n_eval_textbook_ex4_bb0_in___17->n_eval_textbook_ex4_bb1_in___16: 1 {O(1)}
1: n_eval_textbook_ex4_bb1_in___16->n_eval_textbook_ex4_bb2_in___15: 1 {O(1)}
2: n_eval_textbook_ex4_bb1_in___16->n_eval_textbook_ex4_bb5_in___14: 1 {O(1)}
3: n_eval_textbook_ex4_bb1_in___5->n_eval_textbook_ex4_bb2_in___4: Arg_3+1 {O(n)}
4: n_eval_textbook_ex4_bb1_in___5->n_eval_textbook_ex4_bb5_in___3: 1 {O(1)}
5: n_eval_textbook_ex4_bb1_in___8->n_eval_textbook_ex4_bb2_in___15: Arg_3+1 {O(n)}
6: n_eval_textbook_ex4_bb1_in___8->n_eval_textbook_ex4_bb5_in___7: 1 {O(1)}
7: n_eval_textbook_ex4_bb2_in___11->n_eval_textbook_ex4_bb3_in___10: 2*Arg_2*Arg_3+2*Arg_2 {O(n^2)}
8: n_eval_textbook_ex4_bb2_in___11->n_eval_textbook_ex4_bb4_in___9: Arg_3+2 {O(n)}
9: n_eval_textbook_ex4_bb2_in___15->n_eval_textbook_ex4_bb3_in___13: Arg_3+2 {O(n)}
10: n_eval_textbook_ex4_bb2_in___15->n_eval_textbook_ex4_bb4_in___12: 1 {O(1)}
11: n_eval_textbook_ex4_bb2_in___4->n_eval_textbook_ex4_bb4_in___12: Arg_3+1 {O(n)}
12: n_eval_textbook_ex4_bb3_in___10->n_eval_textbook_ex4_bb2_in___11: 2*Arg_2*Arg_3+2*Arg_2+1 {O(n^2)}
13: n_eval_textbook_ex4_bb3_in___13->n_eval_textbook_ex4_bb2_in___11: Arg_3+2 {O(n)}
14: n_eval_textbook_ex4_bb4_in___12->n_eval_textbook_ex4_bb1_in___5: Arg_3+2 {O(n)}
15: n_eval_textbook_ex4_bb4_in___9->n_eval_textbook_ex4_bb1_in___8: 2*Arg_3+1 {O(n)}
16: n_eval_textbook_ex4_bb5_in___14->n_eval_textbook_ex4_stop___1: 1 {O(1)}
17: n_eval_textbook_ex4_bb5_in___3->n_eval_textbook_ex4_stop___2: 1 {O(1)}
18: n_eval_textbook_ex4_bb5_in___7->n_eval_textbook_ex4_stop___6: 1 {O(1)}
19: n_eval_textbook_ex4_start->n_eval_textbook_ex4_bb0_in___17: 1 {O(1)}
Sizebounds
0: n_eval_textbook_ex4_bb0_in___17->n_eval_textbook_ex4_bb1_in___16, Arg_0: Arg_0 {O(n)}
0: n_eval_textbook_ex4_bb0_in___17->n_eval_textbook_ex4_bb1_in___16, Arg_1: 1 {O(1)}
0: n_eval_textbook_ex4_bb0_in___17->n_eval_textbook_ex4_bb1_in___16, Arg_2: Arg_2 {O(n)}
0: n_eval_textbook_ex4_bb0_in___17->n_eval_textbook_ex4_bb1_in___16, Arg_3: Arg_3 {O(n)}
1: n_eval_textbook_ex4_bb1_in___16->n_eval_textbook_ex4_bb2_in___15, Arg_0: 1 {O(1)}
1: n_eval_textbook_ex4_bb1_in___16->n_eval_textbook_ex4_bb2_in___15, Arg_1: 1 {O(1)}
1: n_eval_textbook_ex4_bb1_in___16->n_eval_textbook_ex4_bb2_in___15, Arg_2: Arg_2 {O(n)}
1: n_eval_textbook_ex4_bb1_in___16->n_eval_textbook_ex4_bb2_in___15, Arg_3: Arg_3 {O(n)}
2: n_eval_textbook_ex4_bb1_in___16->n_eval_textbook_ex4_bb5_in___14, Arg_0: Arg_0 {O(n)}
2: n_eval_textbook_ex4_bb1_in___16->n_eval_textbook_ex4_bb5_in___14, Arg_1: 1 {O(1)}
2: n_eval_textbook_ex4_bb1_in___16->n_eval_textbook_ex4_bb5_in___14, Arg_2: Arg_2 {O(n)}
2: n_eval_textbook_ex4_bb1_in___16->n_eval_textbook_ex4_bb5_in___14, Arg_3: Arg_3 {O(n)}
3: n_eval_textbook_ex4_bb1_in___5->n_eval_textbook_ex4_bb2_in___4, Arg_0: 1 {O(1)}
3: n_eval_textbook_ex4_bb1_in___5->n_eval_textbook_ex4_bb2_in___4, Arg_1: Arg_3+3 {O(n)}
3: n_eval_textbook_ex4_bb1_in___5->n_eval_textbook_ex4_bb2_in___4, Arg_2: Arg_2 {O(n)}
3: n_eval_textbook_ex4_bb1_in___5->n_eval_textbook_ex4_bb2_in___4, Arg_3: Arg_3 {O(n)}
4: n_eval_textbook_ex4_bb1_in___5->n_eval_textbook_ex4_bb5_in___3, Arg_0: 1 {O(1)}
4: n_eval_textbook_ex4_bb1_in___5->n_eval_textbook_ex4_bb5_in___3, Arg_1: Arg_3+3 {O(n)}
4: n_eval_textbook_ex4_bb1_in___5->n_eval_textbook_ex4_bb5_in___3, Arg_2: Arg_2 {O(n)}
4: n_eval_textbook_ex4_bb1_in___5->n_eval_textbook_ex4_bb5_in___3, Arg_3: Arg_3 {O(n)}
5: n_eval_textbook_ex4_bb1_in___8->n_eval_textbook_ex4_bb2_in___15, Arg_0: 1 {O(1)}
5: n_eval_textbook_ex4_bb1_in___8->n_eval_textbook_ex4_bb2_in___15, Arg_1: 2*Arg_3+2 {O(n)}
5: n_eval_textbook_ex4_bb1_in___8->n_eval_textbook_ex4_bb2_in___15, Arg_2: Arg_2 {O(n)}
5: n_eval_textbook_ex4_bb1_in___8->n_eval_textbook_ex4_bb2_in___15, Arg_3: Arg_3 {O(n)}
6: n_eval_textbook_ex4_bb1_in___8->n_eval_textbook_ex4_bb5_in___7, Arg_0: 2*Arg_2*Arg_3+2*Arg_2+5 {O(n^2)}
6: n_eval_textbook_ex4_bb1_in___8->n_eval_textbook_ex4_bb5_in___7, Arg_1: 2*Arg_3+2 {O(n)}
6: n_eval_textbook_ex4_bb1_in___8->n_eval_textbook_ex4_bb5_in___7, Arg_2: Arg_2 {O(n)}
6: n_eval_textbook_ex4_bb1_in___8->n_eval_textbook_ex4_bb5_in___7, Arg_3: Arg_3 {O(n)}
7: n_eval_textbook_ex4_bb2_in___11->n_eval_textbook_ex4_bb3_in___10, Arg_0: 2*Arg_2*Arg_3+2*Arg_2+3 {O(n^2)}
7: n_eval_textbook_ex4_bb2_in___11->n_eval_textbook_ex4_bb3_in___10, Arg_1: 2*Arg_3+2 {O(n)}
7: n_eval_textbook_ex4_bb2_in___11->n_eval_textbook_ex4_bb3_in___10, Arg_2: Arg_2 {O(n)}
7: n_eval_textbook_ex4_bb2_in___11->n_eval_textbook_ex4_bb3_in___10, Arg_3: Arg_3 {O(n)}
8: n_eval_textbook_ex4_bb2_in___11->n_eval_textbook_ex4_bb4_in___9, Arg_0: 2*Arg_2*Arg_3+2*Arg_2+5 {O(n^2)}
8: n_eval_textbook_ex4_bb2_in___11->n_eval_textbook_ex4_bb4_in___9, Arg_1: 2*Arg_3+2 {O(n)}
8: n_eval_textbook_ex4_bb2_in___11->n_eval_textbook_ex4_bb4_in___9, Arg_2: Arg_2 {O(n)}
8: n_eval_textbook_ex4_bb2_in___11->n_eval_textbook_ex4_bb4_in___9, Arg_3: Arg_3 {O(n)}
9: n_eval_textbook_ex4_bb2_in___15->n_eval_textbook_ex4_bb3_in___13, Arg_0: 1 {O(1)}
9: n_eval_textbook_ex4_bb2_in___15->n_eval_textbook_ex4_bb3_in___13, Arg_1: 2*Arg_3+2 {O(n)}
9: n_eval_textbook_ex4_bb2_in___15->n_eval_textbook_ex4_bb3_in___13, Arg_2: Arg_2 {O(n)}
9: n_eval_textbook_ex4_bb2_in___15->n_eval_textbook_ex4_bb3_in___13, Arg_3: Arg_3 {O(n)}
10: n_eval_textbook_ex4_bb2_in___15->n_eval_textbook_ex4_bb4_in___12, Arg_0: 1 {O(1)}
10: n_eval_textbook_ex4_bb2_in___15->n_eval_textbook_ex4_bb4_in___12, Arg_1: 1 {O(1)}
10: n_eval_textbook_ex4_bb2_in___15->n_eval_textbook_ex4_bb4_in___12, Arg_2: Arg_2 {O(n)}
10: n_eval_textbook_ex4_bb2_in___15->n_eval_textbook_ex4_bb4_in___12, Arg_3: Arg_3 {O(n)}
11: n_eval_textbook_ex4_bb2_in___4->n_eval_textbook_ex4_bb4_in___12, Arg_0: 1 {O(1)}
11: n_eval_textbook_ex4_bb2_in___4->n_eval_textbook_ex4_bb4_in___12, Arg_1: Arg_3+3 {O(n)}
11: n_eval_textbook_ex4_bb2_in___4->n_eval_textbook_ex4_bb4_in___12, Arg_2: Arg_2 {O(n)}
11: n_eval_textbook_ex4_bb2_in___4->n_eval_textbook_ex4_bb4_in___12, Arg_3: Arg_3 {O(n)}
12: n_eval_textbook_ex4_bb3_in___10->n_eval_textbook_ex4_bb2_in___11, Arg_0: 2*Arg_2*Arg_3+2*Arg_2+3 {O(n^2)}
12: n_eval_textbook_ex4_bb3_in___10->n_eval_textbook_ex4_bb2_in___11, Arg_1: 2*Arg_3+2 {O(n)}
12: n_eval_textbook_ex4_bb3_in___10->n_eval_textbook_ex4_bb2_in___11, Arg_2: Arg_2 {O(n)}
12: n_eval_textbook_ex4_bb3_in___10->n_eval_textbook_ex4_bb2_in___11, Arg_3: Arg_3 {O(n)}
13: n_eval_textbook_ex4_bb3_in___13->n_eval_textbook_ex4_bb2_in___11, Arg_0: 2 {O(1)}
13: n_eval_textbook_ex4_bb3_in___13->n_eval_textbook_ex4_bb2_in___11, Arg_1: 2*Arg_3+2 {O(n)}
13: n_eval_textbook_ex4_bb3_in___13->n_eval_textbook_ex4_bb2_in___11, Arg_2: Arg_2 {O(n)}
13: n_eval_textbook_ex4_bb3_in___13->n_eval_textbook_ex4_bb2_in___11, Arg_3: Arg_3 {O(n)}
14: n_eval_textbook_ex4_bb4_in___12->n_eval_textbook_ex4_bb1_in___5, Arg_0: 1 {O(1)}
14: n_eval_textbook_ex4_bb4_in___12->n_eval_textbook_ex4_bb1_in___5, Arg_1: Arg_3+3 {O(n)}
14: n_eval_textbook_ex4_bb4_in___12->n_eval_textbook_ex4_bb1_in___5, Arg_2: Arg_2 {O(n)}
14: n_eval_textbook_ex4_bb4_in___12->n_eval_textbook_ex4_bb1_in___5, Arg_3: Arg_3 {O(n)}
15: n_eval_textbook_ex4_bb4_in___9->n_eval_textbook_ex4_bb1_in___8, Arg_0: 2*Arg_2*Arg_3+2*Arg_2+5 {O(n^2)}
15: n_eval_textbook_ex4_bb4_in___9->n_eval_textbook_ex4_bb1_in___8, Arg_1: 2*Arg_3+2 {O(n)}
15: n_eval_textbook_ex4_bb4_in___9->n_eval_textbook_ex4_bb1_in___8, Arg_2: Arg_2 {O(n)}
15: n_eval_textbook_ex4_bb4_in___9->n_eval_textbook_ex4_bb1_in___8, Arg_3: Arg_3 {O(n)}
16: n_eval_textbook_ex4_bb5_in___14->n_eval_textbook_ex4_stop___1, Arg_0: Arg_0 {O(n)}
16: n_eval_textbook_ex4_bb5_in___14->n_eval_textbook_ex4_stop___1, Arg_1: 1 {O(1)}
16: n_eval_textbook_ex4_bb5_in___14->n_eval_textbook_ex4_stop___1, Arg_2: Arg_2 {O(n)}
16: n_eval_textbook_ex4_bb5_in___14->n_eval_textbook_ex4_stop___1, Arg_3: Arg_3 {O(n)}
17: n_eval_textbook_ex4_bb5_in___3->n_eval_textbook_ex4_stop___2, Arg_0: 1 {O(1)}
17: n_eval_textbook_ex4_bb5_in___3->n_eval_textbook_ex4_stop___2, Arg_1: Arg_3+3 {O(n)}
17: n_eval_textbook_ex4_bb5_in___3->n_eval_textbook_ex4_stop___2, Arg_2: Arg_2 {O(n)}
17: n_eval_textbook_ex4_bb5_in___3->n_eval_textbook_ex4_stop___2, Arg_3: Arg_3 {O(n)}
18: n_eval_textbook_ex4_bb5_in___7->n_eval_textbook_ex4_stop___6, Arg_0: 2*Arg_2*Arg_3+2*Arg_2+5 {O(n^2)}
18: n_eval_textbook_ex4_bb5_in___7->n_eval_textbook_ex4_stop___6, Arg_1: 2*Arg_3+2 {O(n)}
18: n_eval_textbook_ex4_bb5_in___7->n_eval_textbook_ex4_stop___6, Arg_2: Arg_2 {O(n)}
18: n_eval_textbook_ex4_bb5_in___7->n_eval_textbook_ex4_stop___6, Arg_3: Arg_3 {O(n)}
19: n_eval_textbook_ex4_start->n_eval_textbook_ex4_bb0_in___17, Arg_0: Arg_0 {O(n)}
19: n_eval_textbook_ex4_start->n_eval_textbook_ex4_bb0_in___17, Arg_1: Arg_1 {O(n)}
19: n_eval_textbook_ex4_start->n_eval_textbook_ex4_bb0_in___17, Arg_2: Arg_2 {O(n)}
19: n_eval_textbook_ex4_start->n_eval_textbook_ex4_bb0_in___17, Arg_3: Arg_3 {O(n)}