Initial Problem

Start: eval_ex_paper1_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: eval_ex_paper1_bb0_in, eval_ex_paper1_bb1_in, eval_ex_paper1_bb2_in, eval_ex_paper1_bb3_in, eval_ex_paper1_start, eval_ex_paper1_stop
Transitions:
1:eval_ex_paper1_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_ex_paper1_bb1_in(Arg_2,Arg_1,Arg_2,Arg_3)
2:eval_ex_paper1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_ex_paper1_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3):|:0<Arg_0 && Arg_0<Arg_3
3:eval_ex_paper1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_ex_paper1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=0
4:eval_ex_paper1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_ex_paper1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_0
5:eval_ex_paper1_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_ex_paper1_bb1_in(Arg_0+1,Arg_1,Arg_2,Arg_3):|:0<Arg_1
6:eval_ex_paper1_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_ex_paper1_bb1_in(Arg_0-1,Arg_1,Arg_2,Arg_3):|:Arg_1<=0
7:eval_ex_paper1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_ex_paper1_stop(Arg_0,Arg_1,Arg_2,Arg_3)
0:eval_ex_paper1_start(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_ex_paper1_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3)

Preprocessing

Found invariant 2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_0 for location eval_ex_paper1_bb2_in

Problem after Preprocessing

Start: eval_ex_paper1_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: eval_ex_paper1_bb0_in, eval_ex_paper1_bb1_in, eval_ex_paper1_bb2_in, eval_ex_paper1_bb3_in, eval_ex_paper1_start, eval_ex_paper1_stop
Transitions:
1:eval_ex_paper1_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_ex_paper1_bb1_in(Arg_2,Arg_1,Arg_2,Arg_3)
2:eval_ex_paper1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_ex_paper1_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3):|:0<Arg_0 && Arg_0<Arg_3
3:eval_ex_paper1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_ex_paper1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=0
4:eval_ex_paper1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_ex_paper1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_0
5:eval_ex_paper1_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_ex_paper1_bb1_in(Arg_0+1,Arg_1,Arg_2,Arg_3):|:2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_0 && 0<Arg_1
6:eval_ex_paper1_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_ex_paper1_bb1_in(Arg_0-1,Arg_1,Arg_2,Arg_3):|:2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_0 && Arg_1<=0
7:eval_ex_paper1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_ex_paper1_stop(Arg_0,Arg_1,Arg_2,Arg_3)
0:eval_ex_paper1_start(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_ex_paper1_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3)

Analysing control-flow refined program

Cut unsatisfiable transition 75: n_eval_ex_paper1_bb1_in___3->eval_ex_paper1_bb3_in

Cut unsatisfiable transition 74: n_eval_ex_paper1_bb1_in___4->eval_ex_paper1_bb3_in

Found invariant 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 2+Arg_1<=Arg_3 && 2<=Arg_0+Arg_3 && 2+Arg_0<=Arg_3 && 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_0 for location n_eval_ex_paper1_bb1_in___3

Found invariant 3<=Arg_3 && 4<=Arg_2+Arg_3 && 2+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && 5<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_ex_paper1_bb2_in___2

Found invariant Arg_2<=Arg_0 && Arg_0<=Arg_2 for location eval_ex_paper1_bb1_in

Found invariant 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_ex_paper1_bb1_in___4

Found invariant 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_0 for location n_eval_ex_paper1_bb2_in___5

Found invariant 3<=Arg_3 && 5<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3+Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && 2+Arg_0<=Arg_3 && 2<=Arg_2 && 2+Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=0 && 1+Arg_1<=Arg_0 && 1<=Arg_0 for location n_eval_ex_paper1_bb2_in___1

MPRF for transition 57:n_eval_ex_paper1_bb1_in___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex_paper1_bb2_in___1(Arg_0,Arg_1,Arg_2,Arg_3):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 2+Arg_1<=Arg_3 && 2<=Arg_0+Arg_3 && 2+Arg_0<=Arg_3 && 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_0 && 1+Arg_0<=Arg_3 && Arg_0<Arg_3 && Arg_1<=0 && 0<=Arg_0 && 2+Arg_0<=Arg_3 && Arg_1<=0 && 0<Arg_0 && Arg_0<Arg_3 of depth 1:

new bound:

Arg_2+1 {O(n)}

MPRF:

n_eval_ex_paper1_bb2_in___1 [Arg_0 ]
n_eval_ex_paper1_bb1_in___3 [Arg_0+1 ]

MPRF for transition 60:n_eval_ex_paper1_bb2_in___1(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex_paper1_bb1_in___3(Arg_0-1,Arg_1,Arg_2,Arg_3):|:3<=Arg_3 && 5<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3+Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && 2+Arg_0<=Arg_3 && 2<=Arg_2 && 2+Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=0 && 1+Arg_1<=Arg_0 && 1<=Arg_0 && Arg_1<=0 && 2+Arg_0<=Arg_3 && 0<Arg_0 && 1<=Arg_0 && Arg_1<=0 && 1+Arg_0<=Arg_3 of depth 1:

new bound:

Arg_2 {O(n)}

MPRF:

n_eval_ex_paper1_bb2_in___1 [Arg_0 ]
n_eval_ex_paper1_bb1_in___3 [Arg_0 ]

MPRF for transition 58:n_eval_ex_paper1_bb1_in___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex_paper1_bb2_in___2(Arg_0,Arg_1,Arg_2,Arg_3):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 0<Arg_0 && 0<Arg_1 && 1<=Arg_0 && 0<Arg_0 && Arg_0<Arg_3 of depth 1:

new bound:

Arg_2+Arg_3+2 {O(n)}

MPRF:

n_eval_ex_paper1_bb2_in___2 [Arg_3-Arg_0 ]
n_eval_ex_paper1_bb1_in___4 [Arg_3+1-Arg_0 ]

MPRF for transition 61:n_eval_ex_paper1_bb2_in___2(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex_paper1_bb1_in___4(Arg_0+1,Arg_1,Arg_2,Arg_3):|:3<=Arg_3 && 4<=Arg_2+Arg_3 && 2+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && 5<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_0<Arg_3 && 0<Arg_1 && 1<=Arg_0 && 0<Arg_1 && 1<=Arg_0 && 1+Arg_0<=Arg_3 of depth 1:

new bound:

Arg_2+Arg_3+1 {O(n)}

MPRF:

n_eval_ex_paper1_bb2_in___2 [Arg_3-Arg_0 ]
n_eval_ex_paper1_bb1_in___4 [Arg_3-Arg_0 ]

CFR: Improvement to new bound with the following program:

new bound:

2*Arg_3+4*Arg_2+4 {O(n)}

cfr-program:

Start: eval_ex_paper1_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: eval_ex_paper1_bb0_in, eval_ex_paper1_bb1_in, eval_ex_paper1_bb3_in, eval_ex_paper1_start, eval_ex_paper1_stop, n_eval_ex_paper1_bb1_in___3, n_eval_ex_paper1_bb1_in___4, n_eval_ex_paper1_bb2_in___1, n_eval_ex_paper1_bb2_in___2, n_eval_ex_paper1_bb2_in___5
Transitions:
1:eval_ex_paper1_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_ex_paper1_bb1_in(Arg_2,Arg_1,Arg_2,Arg_3)
3:eval_ex_paper1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_ex_paper1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=Arg_0 && Arg_0<=Arg_2 && Arg_0<=0
4:eval_ex_paper1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_ex_paper1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=Arg_0 && Arg_0<=Arg_2 && Arg_3<=Arg_0
59:eval_ex_paper1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex_paper1_bb2_in___5(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=Arg_0 && Arg_0<=Arg_2 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && 0<Arg_0 && Arg_0<Arg_3
7:eval_ex_paper1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_ex_paper1_stop(Arg_0,Arg_1,Arg_2,Arg_3)
0:eval_ex_paper1_start(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_ex_paper1_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3)
73:n_eval_ex_paper1_bb1_in___3(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_ex_paper1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 2+Arg_1<=Arg_3 && 2<=Arg_0+Arg_3 && 2+Arg_0<=Arg_3 && 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_0 && Arg_0<=0
57:n_eval_ex_paper1_bb1_in___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex_paper1_bb2_in___1(Arg_0,Arg_1,Arg_2,Arg_3):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 2+Arg_1<=Arg_3 && 2<=Arg_0+Arg_3 && 2+Arg_0<=Arg_3 && 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_0 && 1+Arg_0<=Arg_3 && Arg_0<Arg_3 && Arg_1<=0 && 0<=Arg_0 && 2+Arg_0<=Arg_3 && Arg_1<=0 && 0<Arg_0 && Arg_0<Arg_3
76:n_eval_ex_paper1_bb1_in___4(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_ex_paper1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_3<=Arg_0
58:n_eval_ex_paper1_bb1_in___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex_paper1_bb2_in___2(Arg_0,Arg_1,Arg_2,Arg_3):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 4<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 0<Arg_0 && 0<Arg_1 && 1<=Arg_0 && 0<Arg_0 && Arg_0<Arg_3
60:n_eval_ex_paper1_bb2_in___1(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex_paper1_bb1_in___3(Arg_0-1,Arg_1,Arg_2,Arg_3):|:3<=Arg_3 && 5<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3+Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && 2+Arg_0<=Arg_3 && 2<=Arg_2 && 2+Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=0 && 1+Arg_1<=Arg_0 && 1<=Arg_0 && Arg_1<=0 && 2+Arg_0<=Arg_3 && 0<Arg_0 && 1<=Arg_0 && Arg_1<=0 && 1+Arg_0<=Arg_3
61:n_eval_ex_paper1_bb2_in___2(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex_paper1_bb1_in___4(Arg_0+1,Arg_1,Arg_2,Arg_3):|:3<=Arg_3 && 4<=Arg_2+Arg_3 && 2+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && 5<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_0<Arg_3 && 0<Arg_1 && 1<=Arg_0 && 0<Arg_1 && 1<=Arg_0 && 1+Arg_0<=Arg_3
62:n_eval_ex_paper1_bb2_in___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex_paper1_bb1_in___3(Arg_0-1,Arg_1,Arg_2,Arg_3):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_0 && Arg_2<Arg_3 && 0<Arg_2 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && 1<=Arg_0 && Arg_1<=0 && 1+Arg_0<=Arg_3
63:n_eval_ex_paper1_bb2_in___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_ex_paper1_bb1_in___4(Arg_0+1,Arg_1,Arg_2,Arg_3):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_0 && Arg_2<Arg_3 && 0<Arg_2 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && 0<Arg_1 && 1<=Arg_0 && 1+Arg_0<=Arg_3

All Bounds

Timebounds

Overall timebound:2*Arg_3+4*Arg_2+14 {O(n)}
1: eval_ex_paper1_bb0_in->eval_ex_paper1_bb1_in: 1 {O(1)}
3: eval_ex_paper1_bb1_in->eval_ex_paper1_bb3_in: 1 {O(1)}
4: eval_ex_paper1_bb1_in->eval_ex_paper1_bb3_in: 1 {O(1)}
59: eval_ex_paper1_bb1_in->n_eval_ex_paper1_bb2_in___5: 1 {O(1)}
7: eval_ex_paper1_bb3_in->eval_ex_paper1_stop: 1 {O(1)}
0: eval_ex_paper1_start->eval_ex_paper1_bb0_in: 1 {O(1)}
57: n_eval_ex_paper1_bb1_in___3->n_eval_ex_paper1_bb2_in___1: Arg_2+1 {O(n)}
73: n_eval_ex_paper1_bb1_in___3->eval_ex_paper1_bb3_in: 1 {O(1)}
58: n_eval_ex_paper1_bb1_in___4->n_eval_ex_paper1_bb2_in___2: Arg_2+Arg_3+2 {O(n)}
76: n_eval_ex_paper1_bb1_in___4->eval_ex_paper1_bb3_in: 1 {O(1)}
60: n_eval_ex_paper1_bb2_in___1->n_eval_ex_paper1_bb1_in___3: Arg_2 {O(n)}
61: n_eval_ex_paper1_bb2_in___2->n_eval_ex_paper1_bb1_in___4: Arg_2+Arg_3+1 {O(n)}
62: n_eval_ex_paper1_bb2_in___5->n_eval_ex_paper1_bb1_in___3: 1 {O(1)}
63: n_eval_ex_paper1_bb2_in___5->n_eval_ex_paper1_bb1_in___4: 1 {O(1)}

Costbounds

Overall costbound: 2*Arg_3+4*Arg_2+14 {O(n)}
1: eval_ex_paper1_bb0_in->eval_ex_paper1_bb1_in: 1 {O(1)}
3: eval_ex_paper1_bb1_in->eval_ex_paper1_bb3_in: 1 {O(1)}
4: eval_ex_paper1_bb1_in->eval_ex_paper1_bb3_in: 1 {O(1)}
59: eval_ex_paper1_bb1_in->n_eval_ex_paper1_bb2_in___5: 1 {O(1)}
7: eval_ex_paper1_bb3_in->eval_ex_paper1_stop: 1 {O(1)}
0: eval_ex_paper1_start->eval_ex_paper1_bb0_in: 1 {O(1)}
57: n_eval_ex_paper1_bb1_in___3->n_eval_ex_paper1_bb2_in___1: Arg_2+1 {O(n)}
73: n_eval_ex_paper1_bb1_in___3->eval_ex_paper1_bb3_in: 1 {O(1)}
58: n_eval_ex_paper1_bb1_in___4->n_eval_ex_paper1_bb2_in___2: Arg_2+Arg_3+2 {O(n)}
76: n_eval_ex_paper1_bb1_in___4->eval_ex_paper1_bb3_in: 1 {O(1)}
60: n_eval_ex_paper1_bb2_in___1->n_eval_ex_paper1_bb1_in___3: Arg_2 {O(n)}
61: n_eval_ex_paper1_bb2_in___2->n_eval_ex_paper1_bb1_in___4: Arg_2+Arg_3+1 {O(n)}
62: n_eval_ex_paper1_bb2_in___5->n_eval_ex_paper1_bb1_in___3: 1 {O(1)}
63: n_eval_ex_paper1_bb2_in___5->n_eval_ex_paper1_bb1_in___4: 1 {O(1)}

Sizebounds

1: eval_ex_paper1_bb0_in->eval_ex_paper1_bb1_in, Arg_0: Arg_2 {O(n)}
1: eval_ex_paper1_bb0_in->eval_ex_paper1_bb1_in, Arg_1: Arg_1 {O(n)}
1: eval_ex_paper1_bb0_in->eval_ex_paper1_bb1_in, Arg_2: Arg_2 {O(n)}
1: eval_ex_paper1_bb0_in->eval_ex_paper1_bb1_in, Arg_3: Arg_3 {O(n)}
3: eval_ex_paper1_bb1_in->eval_ex_paper1_bb3_in, Arg_0: Arg_2 {O(n)}
3: eval_ex_paper1_bb1_in->eval_ex_paper1_bb3_in, Arg_1: Arg_1 {O(n)}
3: eval_ex_paper1_bb1_in->eval_ex_paper1_bb3_in, Arg_2: Arg_2 {O(n)}
3: eval_ex_paper1_bb1_in->eval_ex_paper1_bb3_in, Arg_3: Arg_3 {O(n)}
4: eval_ex_paper1_bb1_in->eval_ex_paper1_bb3_in, Arg_0: Arg_2 {O(n)}
4: eval_ex_paper1_bb1_in->eval_ex_paper1_bb3_in, Arg_1: Arg_1 {O(n)}
4: eval_ex_paper1_bb1_in->eval_ex_paper1_bb3_in, Arg_2: Arg_2 {O(n)}
4: eval_ex_paper1_bb1_in->eval_ex_paper1_bb3_in, Arg_3: Arg_3 {O(n)}
59: eval_ex_paper1_bb1_in->n_eval_ex_paper1_bb2_in___5, Arg_0: Arg_2 {O(n)}
59: eval_ex_paper1_bb1_in->n_eval_ex_paper1_bb2_in___5, Arg_1: Arg_1 {O(n)}
59: eval_ex_paper1_bb1_in->n_eval_ex_paper1_bb2_in___5, Arg_2: Arg_2 {O(n)}
59: eval_ex_paper1_bb1_in->n_eval_ex_paper1_bb2_in___5, Arg_3: Arg_3 {O(n)}
7: eval_ex_paper1_bb3_in->eval_ex_paper1_stop, Arg_0: 5*Arg_2+Arg_3+3 {O(n)}
7: eval_ex_paper1_bb3_in->eval_ex_paper1_stop, Arg_1: 6*Arg_1 {O(n)}
7: eval_ex_paper1_bb3_in->eval_ex_paper1_stop, Arg_2: 6*Arg_2 {O(n)}
7: eval_ex_paper1_bb3_in->eval_ex_paper1_stop, Arg_3: 6*Arg_3 {O(n)}
0: eval_ex_paper1_start->eval_ex_paper1_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_ex_paper1_start->eval_ex_paper1_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_ex_paper1_start->eval_ex_paper1_bb0_in, Arg_2: Arg_2 {O(n)}
0: eval_ex_paper1_start->eval_ex_paper1_bb0_in, Arg_3: Arg_3 {O(n)}
57: n_eval_ex_paper1_bb1_in___3->n_eval_ex_paper1_bb2_in___1, Arg_0: Arg_2 {O(n)}
57: n_eval_ex_paper1_bb1_in___3->n_eval_ex_paper1_bb2_in___1, Arg_1: Arg_1 {O(n)}
57: n_eval_ex_paper1_bb1_in___3->n_eval_ex_paper1_bb2_in___1, Arg_2: Arg_2 {O(n)}
57: n_eval_ex_paper1_bb1_in___3->n_eval_ex_paper1_bb2_in___1, Arg_3: Arg_3 {O(n)}
73: n_eval_ex_paper1_bb1_in___3->eval_ex_paper1_bb3_in, Arg_0: 0 {O(1)}
73: n_eval_ex_paper1_bb1_in___3->eval_ex_paper1_bb3_in, Arg_1: 2*Arg_1 {O(n)}
73: n_eval_ex_paper1_bb1_in___3->eval_ex_paper1_bb3_in, Arg_2: 2*Arg_2 {O(n)}
73: n_eval_ex_paper1_bb1_in___3->eval_ex_paper1_bb3_in, Arg_3: 2*Arg_3 {O(n)}
58: n_eval_ex_paper1_bb1_in___4->n_eval_ex_paper1_bb2_in___2, Arg_0: 2*Arg_2+Arg_3+2 {O(n)}
58: n_eval_ex_paper1_bb1_in___4->n_eval_ex_paper1_bb2_in___2, Arg_1: Arg_1 {O(n)}
58: n_eval_ex_paper1_bb1_in___4->n_eval_ex_paper1_bb2_in___2, Arg_2: Arg_2 {O(n)}
58: n_eval_ex_paper1_bb1_in___4->n_eval_ex_paper1_bb2_in___2, Arg_3: Arg_3 {O(n)}
76: n_eval_ex_paper1_bb1_in___4->eval_ex_paper1_bb3_in, Arg_0: 3*Arg_2+Arg_3+3 {O(n)}
76: n_eval_ex_paper1_bb1_in___4->eval_ex_paper1_bb3_in, Arg_1: 2*Arg_1 {O(n)}
76: n_eval_ex_paper1_bb1_in___4->eval_ex_paper1_bb3_in, Arg_2: 2*Arg_2 {O(n)}
76: n_eval_ex_paper1_bb1_in___4->eval_ex_paper1_bb3_in, Arg_3: 2*Arg_3 {O(n)}
60: n_eval_ex_paper1_bb2_in___1->n_eval_ex_paper1_bb1_in___3, Arg_0: Arg_2 {O(n)}
60: n_eval_ex_paper1_bb2_in___1->n_eval_ex_paper1_bb1_in___3, Arg_1: Arg_1 {O(n)}
60: n_eval_ex_paper1_bb2_in___1->n_eval_ex_paper1_bb1_in___3, Arg_2: Arg_2 {O(n)}
60: n_eval_ex_paper1_bb2_in___1->n_eval_ex_paper1_bb1_in___3, Arg_3: Arg_3 {O(n)}
61: n_eval_ex_paper1_bb2_in___2->n_eval_ex_paper1_bb1_in___4, Arg_0: 2*Arg_2+Arg_3+2 {O(n)}
61: n_eval_ex_paper1_bb2_in___2->n_eval_ex_paper1_bb1_in___4, Arg_1: Arg_1 {O(n)}
61: n_eval_ex_paper1_bb2_in___2->n_eval_ex_paper1_bb1_in___4, Arg_2: Arg_2 {O(n)}
61: n_eval_ex_paper1_bb2_in___2->n_eval_ex_paper1_bb1_in___4, Arg_3: Arg_3 {O(n)}
62: n_eval_ex_paper1_bb2_in___5->n_eval_ex_paper1_bb1_in___3, Arg_0: Arg_2 {O(n)}
62: n_eval_ex_paper1_bb2_in___5->n_eval_ex_paper1_bb1_in___3, Arg_1: Arg_1 {O(n)}
62: n_eval_ex_paper1_bb2_in___5->n_eval_ex_paper1_bb1_in___3, Arg_2: Arg_2 {O(n)}
62: n_eval_ex_paper1_bb2_in___5->n_eval_ex_paper1_bb1_in___3, Arg_3: Arg_3 {O(n)}
63: n_eval_ex_paper1_bb2_in___5->n_eval_ex_paper1_bb1_in___4, Arg_0: Arg_2+1 {O(n)}
63: n_eval_ex_paper1_bb2_in___5->n_eval_ex_paper1_bb1_in___4, Arg_1: Arg_1 {O(n)}
63: n_eval_ex_paper1_bb2_in___5->n_eval_ex_paper1_bb1_in___4, Arg_2: Arg_2 {O(n)}
63: n_eval_ex_paper1_bb2_in___5->n_eval_ex_paper1_bb1_in___4, Arg_3: Arg_3 {O(n)}