Initial Problem
Start: eval_textbook_ex2_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: eval_textbook_ex2_bb0_in, eval_textbook_ex2_bb1_in, eval_textbook_ex2_bb2_in, eval_textbook_ex2_bb3_in, eval_textbook_ex2_bb4_in, eval_textbook_ex2_bb5_in, eval_textbook_ex2_start, eval_textbook_ex2_stop
Transitions:
1:eval_textbook_ex2_bb0_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex2_bb1_in(0,Arg_1,Arg_2)
2:eval_textbook_ex2_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex2_bb2_in(Arg_0,0,Arg_2):|:Arg_0+1<=Arg_2
3:eval_textbook_ex2_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex2_bb5_in(Arg_0,Arg_1,Arg_2):|:Arg_2<1+Arg_0
4:eval_textbook_ex2_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex2_bb3_in(Arg_0,Arg_1,Arg_2):|:Arg_1<=Arg_0
5:eval_textbook_ex2_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex2_bb4_in(Arg_0,Arg_1,Arg_2):|:Arg_0<Arg_1
6:eval_textbook_ex2_bb3_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex2_bb2_in(Arg_0,Arg_1+1,Arg_2)
7:eval_textbook_ex2_bb4_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex2_bb1_in(Arg_0+1,Arg_1,Arg_2)
8:eval_textbook_ex2_bb5_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex2_stop(Arg_0,Arg_1,Arg_2)
0:eval_textbook_ex2_start(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex2_bb0_in(Arg_0,Arg_1,Arg_2)
Preprocessing
Found invariant 1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location eval_textbook_ex2_bb3_in
Found invariant 0<=Arg_0 for location eval_textbook_ex2_bb1_in
Found invariant Arg_2<=Arg_0 && 0<=Arg_0 for location eval_textbook_ex2_stop
Found invariant Arg_2<=Arg_0 && 0<=Arg_0 for location eval_textbook_ex2_bb5_in
Found invariant 1<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location eval_textbook_ex2_bb2_in
Found invariant 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 for location eval_textbook_ex2_bb4_in
Problem after Preprocessing
Start: eval_textbook_ex2_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: eval_textbook_ex2_bb0_in, eval_textbook_ex2_bb1_in, eval_textbook_ex2_bb2_in, eval_textbook_ex2_bb3_in, eval_textbook_ex2_bb4_in, eval_textbook_ex2_bb5_in, eval_textbook_ex2_start, eval_textbook_ex2_stop
Transitions:
1:eval_textbook_ex2_bb0_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex2_bb1_in(0,Arg_1,Arg_2)
2:eval_textbook_ex2_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex2_bb2_in(Arg_0,0,Arg_2):|:0<=Arg_0 && Arg_0+1<=Arg_2
3:eval_textbook_ex2_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex2_bb5_in(Arg_0,Arg_1,Arg_2):|:0<=Arg_0 && Arg_2<1+Arg_0
4:eval_textbook_ex2_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex2_bb3_in(Arg_0,Arg_1,Arg_2):|:1<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<=Arg_0
5:eval_textbook_ex2_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex2_bb4_in(Arg_0,Arg_1,Arg_2):|:1<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_0<Arg_1
6:eval_textbook_ex2_bb3_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex2_bb2_in(Arg_0,Arg_1+1,Arg_2):|:1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0
7:eval_textbook_ex2_bb4_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex2_bb1_in(Arg_0+1,Arg_1,Arg_2):|:1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0
8:eval_textbook_ex2_bb5_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex2_stop(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_0 && 0<=Arg_0
0:eval_textbook_ex2_start(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex2_bb0_in(Arg_0,Arg_1,Arg_2)
MPRF for transition 2:eval_textbook_ex2_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex2_bb2_in(Arg_0,0,Arg_2):|:0<=Arg_0 && Arg_0+1<=Arg_2 of depth 1:
new bound:
Arg_2 {O(n)}
MPRF:
eval_textbook_ex2_bb3_in [Arg_2-Arg_0-1 ]
eval_textbook_ex2_bb2_in [Arg_2-Arg_0-1 ]
eval_textbook_ex2_bb4_in [Arg_2-Arg_1 ]
eval_textbook_ex2_bb1_in [Arg_2-Arg_0 ]
MPRF for transition 5:eval_textbook_ex2_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex2_bb4_in(Arg_0,Arg_1,Arg_2):|:1<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_0<Arg_1 of depth 1:
new bound:
Arg_2 {O(n)}
MPRF:
eval_textbook_ex2_bb3_in [Arg_2-Arg_0 ]
eval_textbook_ex2_bb2_in [Arg_2-Arg_0 ]
eval_textbook_ex2_bb4_in [Arg_2-Arg_0-1 ]
eval_textbook_ex2_bb1_in [Arg_2-Arg_0 ]
MPRF for transition 7:eval_textbook_ex2_bb4_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex2_bb1_in(Arg_0+1,Arg_1,Arg_2):|:1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 of depth 1:
new bound:
2*Arg_2 {O(n)}
MPRF:
eval_textbook_ex2_bb3_in [2*Arg_2-Arg_0 ]
eval_textbook_ex2_bb2_in [2*Arg_2-Arg_0 ]
eval_textbook_ex2_bb4_in [Arg_1+2*Arg_2-2*Arg_0-1 ]
eval_textbook_ex2_bb1_in [2*Arg_2-Arg_0 ]
MPRF for transition 4:eval_textbook_ex2_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex2_bb3_in(Arg_0,Arg_1,Arg_2):|:1<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<=Arg_0 of depth 1:
new bound:
2*Arg_2*Arg_2+3*Arg_2+1 {O(n^2)}
MPRF:
eval_textbook_ex2_bb1_in [Arg_2+1 ]
eval_textbook_ex2_bb4_in [Arg_2-Arg_1 ]
eval_textbook_ex2_bb3_in [Arg_2-Arg_1 ]
eval_textbook_ex2_bb2_in [Arg_2+1-Arg_1 ]
MPRF for transition 6:eval_textbook_ex2_bb3_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex2_bb2_in(Arg_0,Arg_1+1,Arg_2):|:1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 of depth 1:
new bound:
2*Arg_2*Arg_2+Arg_2 {O(n^2)}
MPRF:
eval_textbook_ex2_bb1_in [Arg_2 ]
eval_textbook_ex2_bb4_in [Arg_2-Arg_1 ]
eval_textbook_ex2_bb3_in [Arg_2-Arg_1 ]
eval_textbook_ex2_bb2_in [Arg_2-Arg_1 ]
Analysing control-flow refined program
Cut unsatisfiable transition 5: eval_textbook_ex2_bb2_in->eval_textbook_ex2_bb4_in
Found invariant 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location n_eval_textbook_ex2_bb3_in___1
Found invariant 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_textbook_ex2_bb2_in___2
Found invariant 0<=Arg_0 for location eval_textbook_ex2_bb1_in
Found invariant 1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=0 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_textbook_ex2_bb3_in___3
Found invariant Arg_2<=Arg_0 && 0<=Arg_0 for location eval_textbook_ex2_stop
Found invariant Arg_2<=Arg_0 && 0<=Arg_0 for location eval_textbook_ex2_bb5_in
Found invariant 1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=0 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location eval_textbook_ex2_bb2_in
Found invariant 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 for location eval_textbook_ex2_bb4_in
knowledge_propagation leads to new time bound Arg_2 {O(n)} for transition 60:eval_textbook_ex2_bb2_in(Arg_0,Arg_1,Arg_2) -> n_eval_textbook_ex2_bb3_in___3(Arg_0,Arg_1,Arg_2):|:1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=0 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && 1+Arg_0<=Arg_2 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_1 && Arg_1<=Arg_0 && 1+Arg_0<=Arg_2 && Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0 && 1+Arg_0<=Arg_2 && 0<=Arg_1 && Arg_1<=Arg_0 && 1+Arg_0<=Arg_2
knowledge_propagation leads to new time bound Arg_2 {O(n)} for transition 62:n_eval_textbook_ex2_bb3_in___3(Arg_0,Arg_1,Arg_2) -> n_eval_textbook_ex2_bb2_in___2(Arg_0,Arg_1+1,Arg_2):|:1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=0 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && 1+Arg_0<=Arg_2 && 0<=Arg_0 && Arg_1<=0 && 0<=Arg_1 && 0<=Arg_1 && Arg_1<=Arg_0 && 1+Arg_0<=Arg_2
MPRF for transition 59:n_eval_textbook_ex2_bb2_in___2(Arg_0,Arg_1,Arg_2) -> n_eval_textbook_ex2_bb3_in___1(Arg_0,Arg_1,Arg_2):|:1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 1+Arg_0<=Arg_2 && 0<=Arg_1 && 1<=Arg_1 && Arg_1<=1+Arg_0 && 1+Arg_0<=Arg_2 && 0<=Arg_1 && Arg_1<=Arg_0 && 1+Arg_0<=Arg_2 of depth 1:
new bound:
Arg_2*Arg_2+3*Arg_2 {O(n^2)}
MPRF:
eval_textbook_ex2_bb2_in [Arg_2-Arg_0 ]
n_eval_textbook_ex2_bb3_in___3 [Arg_2-Arg_0 ]
eval_textbook_ex2_bb1_in [Arg_2-Arg_0 ]
eval_textbook_ex2_bb4_in [Arg_2-Arg_1 ]
n_eval_textbook_ex2_bb3_in___1 [Arg_2-Arg_1 ]
n_eval_textbook_ex2_bb2_in___2 [Arg_2+1-Arg_1 ]
MPRF for transition 67:n_eval_textbook_ex2_bb2_in___2(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex2_bb4_in(Arg_0,Arg_1,Arg_2):|:1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_0<Arg_1 of depth 1:
new bound:
Arg_2 {O(n)}
MPRF:
eval_textbook_ex2_bb2_in [Arg_2-Arg_0 ]
eval_textbook_ex2_bb1_in [Arg_2-Arg_0 ]
eval_textbook_ex2_bb4_in [Arg_2-Arg_0-1 ]
n_eval_textbook_ex2_bb3_in___1 [Arg_2-Arg_0 ]
n_eval_textbook_ex2_bb3_in___3 [Arg_2-Arg_0 ]
n_eval_textbook_ex2_bb2_in___2 [Arg_2-Arg_0 ]
MPRF for transition 61:n_eval_textbook_ex2_bb3_in___1(Arg_0,Arg_1,Arg_2) -> n_eval_textbook_ex2_bb2_in___2(Arg_0,Arg_1+1,Arg_2):|:2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 1+Arg_0<=Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 0<=Arg_1 && Arg_1<=Arg_0 && 1+Arg_0<=Arg_2 of depth 1:
new bound:
2*Arg_2*Arg_2+2*Arg_2 {O(n^2)}
MPRF:
eval_textbook_ex2_bb2_in [0 ]
n_eval_textbook_ex2_bb3_in___3 [0 ]
eval_textbook_ex2_bb1_in [0 ]
eval_textbook_ex2_bb4_in [0 ]
n_eval_textbook_ex2_bb3_in___1 [Arg_0+1-Arg_1 ]
n_eval_textbook_ex2_bb2_in___2 [Arg_0+1-Arg_1 ]
CFR did not improve the program. Rolling back
All Bounds
Timebounds
Overall timebound:4*Arg_2*Arg_2+8*Arg_2+5 {O(n^2)}
1: eval_textbook_ex2_bb0_in->eval_textbook_ex2_bb1_in: 1 {O(1)}
2: eval_textbook_ex2_bb1_in->eval_textbook_ex2_bb2_in: Arg_2 {O(n)}
3: eval_textbook_ex2_bb1_in->eval_textbook_ex2_bb5_in: 1 {O(1)}
4: eval_textbook_ex2_bb2_in->eval_textbook_ex2_bb3_in: 2*Arg_2*Arg_2+3*Arg_2+1 {O(n^2)}
5: eval_textbook_ex2_bb2_in->eval_textbook_ex2_bb4_in: Arg_2 {O(n)}
6: eval_textbook_ex2_bb3_in->eval_textbook_ex2_bb2_in: 2*Arg_2*Arg_2+Arg_2 {O(n^2)}
7: eval_textbook_ex2_bb4_in->eval_textbook_ex2_bb1_in: 2*Arg_2 {O(n)}
8: eval_textbook_ex2_bb5_in->eval_textbook_ex2_stop: 1 {O(1)}
0: eval_textbook_ex2_start->eval_textbook_ex2_bb0_in: 1 {O(1)}
Costbounds
Overall costbound: 4*Arg_2*Arg_2+8*Arg_2+5 {O(n^2)}
1: eval_textbook_ex2_bb0_in->eval_textbook_ex2_bb1_in: 1 {O(1)}
2: eval_textbook_ex2_bb1_in->eval_textbook_ex2_bb2_in: Arg_2 {O(n)}
3: eval_textbook_ex2_bb1_in->eval_textbook_ex2_bb5_in: 1 {O(1)}
4: eval_textbook_ex2_bb2_in->eval_textbook_ex2_bb3_in: 2*Arg_2*Arg_2+3*Arg_2+1 {O(n^2)}
5: eval_textbook_ex2_bb2_in->eval_textbook_ex2_bb4_in: Arg_2 {O(n)}
6: eval_textbook_ex2_bb3_in->eval_textbook_ex2_bb2_in: 2*Arg_2*Arg_2+Arg_2 {O(n^2)}
7: eval_textbook_ex2_bb4_in->eval_textbook_ex2_bb1_in: 2*Arg_2 {O(n)}
8: eval_textbook_ex2_bb5_in->eval_textbook_ex2_stop: 1 {O(1)}
0: eval_textbook_ex2_start->eval_textbook_ex2_bb0_in: 1 {O(1)}
Sizebounds
1: eval_textbook_ex2_bb0_in->eval_textbook_ex2_bb1_in, Arg_0: 0 {O(1)}
1: eval_textbook_ex2_bb0_in->eval_textbook_ex2_bb1_in, Arg_1: Arg_1 {O(n)}
1: eval_textbook_ex2_bb0_in->eval_textbook_ex2_bb1_in, Arg_2: Arg_2 {O(n)}
2: eval_textbook_ex2_bb1_in->eval_textbook_ex2_bb2_in, Arg_0: 2*Arg_2 {O(n)}
2: eval_textbook_ex2_bb1_in->eval_textbook_ex2_bb2_in, Arg_1: 0 {O(1)}
2: eval_textbook_ex2_bb1_in->eval_textbook_ex2_bb2_in, Arg_2: Arg_2 {O(n)}
3: eval_textbook_ex2_bb1_in->eval_textbook_ex2_bb5_in, Arg_0: 2*Arg_2 {O(n)}
3: eval_textbook_ex2_bb1_in->eval_textbook_ex2_bb5_in, Arg_1: 2*Arg_2*Arg_2+Arg_1+Arg_2 {O(n^2)}
3: eval_textbook_ex2_bb1_in->eval_textbook_ex2_bb5_in, Arg_2: 2*Arg_2 {O(n)}
4: eval_textbook_ex2_bb2_in->eval_textbook_ex2_bb3_in, Arg_0: 2*Arg_2 {O(n)}
4: eval_textbook_ex2_bb2_in->eval_textbook_ex2_bb3_in, Arg_1: 2*Arg_2*Arg_2+Arg_2 {O(n^2)}
4: eval_textbook_ex2_bb2_in->eval_textbook_ex2_bb3_in, Arg_2: Arg_2 {O(n)}
5: eval_textbook_ex2_bb2_in->eval_textbook_ex2_bb4_in, Arg_0: 2*Arg_2 {O(n)}
5: eval_textbook_ex2_bb2_in->eval_textbook_ex2_bb4_in, Arg_1: 2*Arg_2*Arg_2+Arg_2 {O(n^2)}
5: eval_textbook_ex2_bb2_in->eval_textbook_ex2_bb4_in, Arg_2: Arg_2 {O(n)}
6: eval_textbook_ex2_bb3_in->eval_textbook_ex2_bb2_in, Arg_0: 2*Arg_2 {O(n)}
6: eval_textbook_ex2_bb3_in->eval_textbook_ex2_bb2_in, Arg_1: 2*Arg_2*Arg_2+Arg_2 {O(n^2)}
6: eval_textbook_ex2_bb3_in->eval_textbook_ex2_bb2_in, Arg_2: Arg_2 {O(n)}
7: eval_textbook_ex2_bb4_in->eval_textbook_ex2_bb1_in, Arg_0: 2*Arg_2 {O(n)}
7: eval_textbook_ex2_bb4_in->eval_textbook_ex2_bb1_in, Arg_1: 2*Arg_2*Arg_2+Arg_2 {O(n^2)}
7: eval_textbook_ex2_bb4_in->eval_textbook_ex2_bb1_in, Arg_2: Arg_2 {O(n)}
8: eval_textbook_ex2_bb5_in->eval_textbook_ex2_stop, Arg_0: 2*Arg_2 {O(n)}
8: eval_textbook_ex2_bb5_in->eval_textbook_ex2_stop, Arg_1: 2*Arg_2*Arg_2+Arg_1+Arg_2 {O(n^2)}
8: eval_textbook_ex2_bb5_in->eval_textbook_ex2_stop, Arg_2: 2*Arg_2 {O(n)}
0: eval_textbook_ex2_start->eval_textbook_ex2_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_textbook_ex2_start->eval_textbook_ex2_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_textbook_ex2_start->eval_textbook_ex2_bb0_in, Arg_2: Arg_2 {O(n)}