Initial Problem

Start: eval_peed_pldi09_fig4_5_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: eval_peed_pldi09_fig4_5_bb0_in, eval_peed_pldi09_fig4_5_bb1_in, eval_peed_pldi09_fig4_5_bb2_in, eval_peed_pldi09_fig4_5_bb3_in, eval_peed_pldi09_fig4_5_start, eval_peed_pldi09_fig4_5_stop
Transitions:
3:eval_peed_pldi09_fig4_5_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_peed_pldi09_fig4_5_bb1_in(Arg_0,Arg_2,Arg_2,Arg_3):|:0<Arg_2 && Arg_2<Arg_3
1:eval_peed_pldi09_fig4_5_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_peed_pldi09_fig4_5_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=0
2:eval_peed_pldi09_fig4_5_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_peed_pldi09_fig4_5_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_2
4:eval_peed_pldi09_fig4_5_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_peed_pldi09_fig4_5_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3):|:0<Arg_1 && Arg_1<Arg_3
5:eval_peed_pldi09_fig4_5_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_peed_pldi09_fig4_5_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=0
6:eval_peed_pldi09_fig4_5_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_peed_pldi09_fig4_5_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_1
7:eval_peed_pldi09_fig4_5_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_peed_pldi09_fig4_5_bb1_in(Arg_0,Arg_1+1,Arg_2,Arg_3):|:Arg_0<=1 && 1<=Arg_0
8:eval_peed_pldi09_fig4_5_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_peed_pldi09_fig4_5_bb1_in(Arg_0,Arg_1-1,Arg_2,Arg_3):|:Arg_0<1
9:eval_peed_pldi09_fig4_5_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_peed_pldi09_fig4_5_bb1_in(Arg_0,Arg_1-1,Arg_2,Arg_3):|:1<Arg_0
10:eval_peed_pldi09_fig4_5_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_peed_pldi09_fig4_5_stop(Arg_0,Arg_1,Arg_2,Arg_3)
0:eval_peed_pldi09_fig4_5_start(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_peed_pldi09_fig4_5_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3)

Preprocessing

Found invariant 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 for location eval_peed_pldi09_fig4_5_bb2_in

Found invariant 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 0<=Arg_1 for location eval_peed_pldi09_fig4_5_bb1_in

Problem after Preprocessing

Start: eval_peed_pldi09_fig4_5_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: eval_peed_pldi09_fig4_5_bb0_in, eval_peed_pldi09_fig4_5_bb1_in, eval_peed_pldi09_fig4_5_bb2_in, eval_peed_pldi09_fig4_5_bb3_in, eval_peed_pldi09_fig4_5_start, eval_peed_pldi09_fig4_5_stop
Transitions:
3:eval_peed_pldi09_fig4_5_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_peed_pldi09_fig4_5_bb1_in(Arg_0,Arg_2,Arg_2,Arg_3):|:0<Arg_2 && Arg_2<Arg_3
1:eval_peed_pldi09_fig4_5_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_peed_pldi09_fig4_5_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=0
2:eval_peed_pldi09_fig4_5_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_peed_pldi09_fig4_5_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_2
4:eval_peed_pldi09_fig4_5_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_peed_pldi09_fig4_5_bb2_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 && Arg_1<=Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 0<=Arg_1 && 0<Arg_1 && Arg_1<Arg_3
5:eval_peed_pldi09_fig4_5_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_peed_pldi09_fig4_5_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 && Arg_1<=Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_1<=0
6:eval_peed_pldi09_fig4_5_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_peed_pldi09_fig4_5_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 && Arg_1<=Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_3<=Arg_1
7:eval_peed_pldi09_fig4_5_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_peed_pldi09_fig4_5_bb1_in(Arg_0,Arg_1+1,Arg_2,Arg_3):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=1 && 1<=Arg_0
8:eval_peed_pldi09_fig4_5_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_peed_pldi09_fig4_5_bb1_in(Arg_0,Arg_1-1,Arg_2,Arg_3):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<1
9:eval_peed_pldi09_fig4_5_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_peed_pldi09_fig4_5_bb1_in(Arg_0,Arg_1-1,Arg_2,Arg_3):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 && 1<Arg_0
10:eval_peed_pldi09_fig4_5_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_peed_pldi09_fig4_5_stop(Arg_0,Arg_1,Arg_2,Arg_3)
0:eval_peed_pldi09_fig4_5_start(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_peed_pldi09_fig4_5_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3)

Analysing control-flow refined program

Cut unsatisfiable transition 5: eval_peed_pldi09_fig4_5_bb1_in->eval_peed_pldi09_fig4_5_bb3_in

Cut unsatisfiable transition 6: eval_peed_pldi09_fig4_5_bb1_in->eval_peed_pldi09_fig4_5_bb3_in

Cut unsatisfiable transition 108: n_eval_peed_pldi09_fig4_5_bb1_in___4->eval_peed_pldi09_fig4_5_bb3_in

Cut unsatisfiable transition 109: n_eval_peed_pldi09_fig4_5_bb1_in___5->eval_peed_pldi09_fig4_5_bb3_in

Cut unsatisfiable transition 107: n_eval_peed_pldi09_fig4_5_bb1_in___6->eval_peed_pldi09_fig4_5_bb3_in

Found invariant 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_1 for location n_eval_peed_pldi09_fig4_5_bb2_in___7

Found invariant 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 2+Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_peed_pldi09_fig4_5_bb1_in___4

Found invariant 3<=Arg_3 && 5<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && 2+Arg_1<=Arg_3 && 3+Arg_0<=Arg_3 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 2+Arg_0<=Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 for location n_eval_peed_pldi09_fig4_5_bb2_in___2

Found invariant 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 2+Arg_1<=Arg_3 && 2+Arg_0<=Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 1+Arg_0<=Arg_2 && 0<=Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 for location n_eval_peed_pldi09_fig4_5_bb1_in___5

Found invariant 3<=Arg_3 && 4<=Arg_2+Arg_3 && 2+Arg_2<=Arg_3 && 5<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && 2+Arg_0<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 for location n_eval_peed_pldi09_fig4_5_bb2_in___3

Found invariant 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_1 for location eval_peed_pldi09_fig4_5_bb1_in

Found invariant 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 for location n_eval_peed_pldi09_fig4_5_bb1_in___6

Found invariant 3<=Arg_3 && 5<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && 2+Arg_1<=Arg_3 && 5<=Arg_0+Arg_3 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_peed_pldi09_fig4_5_bb2_in___1

MPRF for transition 82:n_eval_peed_pldi09_fig4_5_bb1_in___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_peed_pldi09_fig4_5_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_1<=Arg_3 && 4<=Arg_0+Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_1<Arg_3 && 1+Arg_2<=Arg_3 && 1<=Arg_2 && 1+Arg_1<=Arg_3 && 1<Arg_0 && 1<=Arg_2 && 1+Arg_2<=Arg_3 && 0<Arg_1 && Arg_1<Arg_3 of depth 1:

new bound:

Arg_2+1 {O(n)}

MPRF:

n_eval_peed_pldi09_fig4_5_bb2_in___1 [Arg_1 ]
n_eval_peed_pldi09_fig4_5_bb1_in___4 [Arg_1+1 ]

MPRF for transition 86:n_eval_peed_pldi09_fig4_5_bb2_in___1(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_peed_pldi09_fig4_5_bb1_in___4(Arg_0,Arg_1-1,Arg_2,Arg_3):|:3<=Arg_3 && 5<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && 2+Arg_1<=Arg_3 && 5<=Arg_0+Arg_3 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 1+Arg_1<=Arg_3 && 0<Arg_1 && 1+Arg_2<=Arg_3 && 1<=Arg_2 && 1<Arg_0 && 1<=Arg_1 && 1<=Arg_2 && 1<Arg_0 && 1+Arg_2<=Arg_3 && 1+Arg_1<=Arg_3 of depth 1:

new bound:

Arg_2 {O(n)}

MPRF:

n_eval_peed_pldi09_fig4_5_bb2_in___1 [Arg_1 ]
n_eval_peed_pldi09_fig4_5_bb1_in___4 [Arg_1 ]

MPRF for transition 83:n_eval_peed_pldi09_fig4_5_bb1_in___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_peed_pldi09_fig4_5_bb2_in___2(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_1<=Arg_3 && 2+Arg_0<=Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 1+Arg_0<=Arg_2 && 0<=Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && Arg_1<Arg_3 && 1+Arg_2<=Arg_3 && 1<=Arg_2 && 1+Arg_1<=Arg_3 && Arg_0<1 && 1<=Arg_2 && 1+Arg_2<=Arg_3 && 0<Arg_1 && Arg_1<Arg_3 of depth 1:

new bound:

Arg_2+1 {O(n)}

MPRF:

n_eval_peed_pldi09_fig4_5_bb2_in___2 [Arg_1 ]
n_eval_peed_pldi09_fig4_5_bb1_in___5 [Arg_1+1 ]

MPRF for transition 87:n_eval_peed_pldi09_fig4_5_bb2_in___2(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_peed_pldi09_fig4_5_bb1_in___5(Arg_0,Arg_1-1,Arg_2,Arg_3):|:3<=Arg_3 && 5<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && 2+Arg_1<=Arg_3 && 3+Arg_0<=Arg_3 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 2+Arg_0<=Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && 1+Arg_1<=Arg_3 && 0<Arg_1 && 1+Arg_2<=Arg_3 && 1<=Arg_2 && Arg_0<1 && 1<=Arg_2 && 1<=Arg_1 && 1+Arg_2<=Arg_3 && 1+Arg_1<=Arg_3 && Arg_0<1 of depth 1:

new bound:

Arg_2 {O(n)}

MPRF:

n_eval_peed_pldi09_fig4_5_bb2_in___2 [Arg_1 ]
n_eval_peed_pldi09_fig4_5_bb1_in___5 [Arg_1 ]

MPRF for transition 84:n_eval_peed_pldi09_fig4_5_bb1_in___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_peed_pldi09_fig4_5_bb2_in___3(Arg_0,Arg_1,Arg_2,Arg_3):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 && 0<Arg_1 && 1+Arg_2<=Arg_3 && 1<=Arg_2 && 1<=Arg_1 && Arg_0<=1 && 1<=Arg_0 && Arg_0<=1 && 1<=Arg_0 && 2<=Arg_1 && 1<=Arg_2 && Arg_1<=Arg_3 && 1+Arg_2<=Arg_3 && 1<=Arg_2 && 1+Arg_2<=Arg_3 && 0<Arg_1 && Arg_1<Arg_3 of depth 1:

new bound:

Arg_2+Arg_3+2 {O(n)}

MPRF:

n_eval_peed_pldi09_fig4_5_bb2_in___3 [Arg_3-Arg_1 ]
n_eval_peed_pldi09_fig4_5_bb1_in___6 [Arg_3+1-Arg_1 ]

MPRF for transition 88:n_eval_peed_pldi09_fig4_5_bb2_in___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_peed_pldi09_fig4_5_bb1_in___6(1,Arg_1+1,Arg_2,Arg_3):|:3<=Arg_3 && 4<=Arg_2+Arg_3 && 2+Arg_2<=Arg_3 && 5<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && 2+Arg_0<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 && 1+Arg_2<=Arg_3 && 1<=Arg_2 && Arg_1<Arg_3 && 2<=Arg_1 && Arg_0<=1 && 1<=Arg_0 && 1<=Arg_2 && 1<=Arg_1 && 1+Arg_2<=Arg_3 && 1+Arg_1<=Arg_3 && Arg_0<=1 && 1<=Arg_0 of depth 1:

new bound:

Arg_2+Arg_3+1 {O(n)}

MPRF:

n_eval_peed_pldi09_fig4_5_bb2_in___3 [Arg_3-Arg_1 ]
n_eval_peed_pldi09_fig4_5_bb1_in___6 [Arg_3-Arg_1 ]

CFR: Improvement to new bound with the following program:

new bound:

2*Arg_3+6*Arg_2+5 {O(n)}

cfr-program:

Start: eval_peed_pldi09_fig4_5_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: eval_peed_pldi09_fig4_5_bb0_in, eval_peed_pldi09_fig4_5_bb1_in, eval_peed_pldi09_fig4_5_bb3_in, eval_peed_pldi09_fig4_5_start, eval_peed_pldi09_fig4_5_stop, n_eval_peed_pldi09_fig4_5_bb1_in___4, n_eval_peed_pldi09_fig4_5_bb1_in___5, n_eval_peed_pldi09_fig4_5_bb1_in___6, n_eval_peed_pldi09_fig4_5_bb2_in___1, n_eval_peed_pldi09_fig4_5_bb2_in___2, n_eval_peed_pldi09_fig4_5_bb2_in___3, n_eval_peed_pldi09_fig4_5_bb2_in___7
Transitions:
3:eval_peed_pldi09_fig4_5_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_peed_pldi09_fig4_5_bb1_in(Arg_0,Arg_2,Arg_2,Arg_3):|:0<Arg_2 && Arg_2<Arg_3
1:eval_peed_pldi09_fig4_5_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_peed_pldi09_fig4_5_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=0
2:eval_peed_pldi09_fig4_5_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_peed_pldi09_fig4_5_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_2
85:eval_peed_pldi09_fig4_5_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_peed_pldi09_fig4_5_bb2_in___7(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 && 1+Arg_1<=Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_1 && Arg_1<Arg_3 && 0<Arg_1 && 1<=Arg_2 && 1+Arg_2<=Arg_3 && 0<Arg_1 && Arg_1<Arg_3
10:eval_peed_pldi09_fig4_5_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_peed_pldi09_fig4_5_stop(Arg_0,Arg_1,Arg_2,Arg_3)
0:eval_peed_pldi09_fig4_5_start(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_peed_pldi09_fig4_5_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3)
105:n_eval_peed_pldi09_fig4_5_bb1_in___4(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_peed_pldi09_fig4_5_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_1<=Arg_3 && 4<=Arg_0+Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_1<=0
82:n_eval_peed_pldi09_fig4_5_bb1_in___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_peed_pldi09_fig4_5_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_1<=Arg_3 && 4<=Arg_0+Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_1<Arg_3 && 1+Arg_2<=Arg_3 && 1<=Arg_2 && 1+Arg_1<=Arg_3 && 1<Arg_0 && 1<=Arg_2 && 1+Arg_2<=Arg_3 && 0<Arg_1 && Arg_1<Arg_3
106:n_eval_peed_pldi09_fig4_5_bb1_in___5(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_peed_pldi09_fig4_5_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_1<=Arg_3 && 2+Arg_0<=Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 1+Arg_0<=Arg_2 && 0<=Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_1<=0
83:n_eval_peed_pldi09_fig4_5_bb1_in___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_peed_pldi09_fig4_5_bb2_in___2(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_1<=Arg_3 && 2+Arg_0<=Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 1+Arg_0<=Arg_2 && 0<=Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && Arg_1<Arg_3 && 1+Arg_2<=Arg_3 && 1<=Arg_2 && 1+Arg_1<=Arg_3 && Arg_0<1 && 1<=Arg_2 && 1+Arg_2<=Arg_3 && 0<Arg_1 && Arg_1<Arg_3
110:n_eval_peed_pldi09_fig4_5_bb1_in___6(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_peed_pldi09_fig4_5_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_3<=Arg_1
84:n_eval_peed_pldi09_fig4_5_bb1_in___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_peed_pldi09_fig4_5_bb2_in___3(Arg_0,Arg_1,Arg_2,Arg_3):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 && 0<Arg_1 && 1+Arg_2<=Arg_3 && 1<=Arg_2 && 1<=Arg_1 && Arg_0<=1 && 1<=Arg_0 && Arg_0<=1 && 1<=Arg_0 && 2<=Arg_1 && 1<=Arg_2 && Arg_1<=Arg_3 && 1+Arg_2<=Arg_3 && 1<=Arg_2 && 1+Arg_2<=Arg_3 && 0<Arg_1 && Arg_1<Arg_3
86:n_eval_peed_pldi09_fig4_5_bb2_in___1(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_peed_pldi09_fig4_5_bb1_in___4(Arg_0,Arg_1-1,Arg_2,Arg_3):|:3<=Arg_3 && 5<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && 2+Arg_1<=Arg_3 && 5<=Arg_0+Arg_3 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 1+Arg_1<=Arg_3 && 0<Arg_1 && 1+Arg_2<=Arg_3 && 1<=Arg_2 && 1<Arg_0 && 1<=Arg_1 && 1<=Arg_2 && 1<Arg_0 && 1+Arg_2<=Arg_3 && 1+Arg_1<=Arg_3
87:n_eval_peed_pldi09_fig4_5_bb2_in___2(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_peed_pldi09_fig4_5_bb1_in___5(Arg_0,Arg_1-1,Arg_2,Arg_3):|:3<=Arg_3 && 5<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 4<=Arg_1+Arg_3 && 2+Arg_1<=Arg_3 && 3+Arg_0<=Arg_3 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 2+Arg_0<=Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && 1+Arg_1<=Arg_3 && 0<Arg_1 && 1+Arg_2<=Arg_3 && 1<=Arg_2 && Arg_0<1 && 1<=Arg_2 && 1<=Arg_1 && 1+Arg_2<=Arg_3 && 1+Arg_1<=Arg_3 && Arg_0<1
88:n_eval_peed_pldi09_fig4_5_bb2_in___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_peed_pldi09_fig4_5_bb1_in___6(1,Arg_1+1,Arg_2,Arg_3):|:3<=Arg_3 && 4<=Arg_2+Arg_3 && 2+Arg_2<=Arg_3 && 5<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 4<=Arg_0+Arg_3 && 2+Arg_0<=Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 && 1+Arg_2<=Arg_3 && 1<=Arg_2 && Arg_1<Arg_3 && 2<=Arg_1 && Arg_0<=1 && 1<=Arg_0 && 1<=Arg_2 && 1<=Arg_1 && 1+Arg_2<=Arg_3 && 1+Arg_1<=Arg_3 && Arg_0<=1 && 1<=Arg_0
89:n_eval_peed_pldi09_fig4_5_bb2_in___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_peed_pldi09_fig4_5_bb1_in___4(Arg_0,Arg_1-1,Arg_2,Arg_3):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_1 && Arg_1<Arg_3 && 0<Arg_1 && 1+Arg_2<=Arg_3 && 1<=Arg_2 && 1<=Arg_1 && 1<=Arg_2 && 1<Arg_0 && 1+Arg_2<=Arg_3 && 1+Arg_1<=Arg_3
90:n_eval_peed_pldi09_fig4_5_bb2_in___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_peed_pldi09_fig4_5_bb1_in___5(Arg_0,Arg_1-1,Arg_2,Arg_3):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_1 && Arg_1<Arg_3 && 0<Arg_1 && 1+Arg_2<=Arg_3 && 1<=Arg_2 && 1<=Arg_2 && 1<=Arg_1 && 1+Arg_2<=Arg_3 && 1+Arg_1<=Arg_3 && Arg_0<1
91:n_eval_peed_pldi09_fig4_5_bb2_in___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_peed_pldi09_fig4_5_bb1_in___6(1,Arg_1+1,Arg_2,Arg_3):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_1 && Arg_1<Arg_3 && 0<Arg_1 && 1+Arg_2<=Arg_3 && 1<=Arg_2 && 1<=Arg_2 && 1<=Arg_1 && 1+Arg_2<=Arg_3 && 1+Arg_1<=Arg_3 && Arg_0<=1 && 1<=Arg_0

All Bounds

Timebounds

Overall timebound:2*Arg_3+6*Arg_2+17 {O(n)}
1: eval_peed_pldi09_fig4_5_bb0_in->eval_peed_pldi09_fig4_5_bb3_in: 1 {O(1)}
2: eval_peed_pldi09_fig4_5_bb0_in->eval_peed_pldi09_fig4_5_bb3_in: 1 {O(1)}
3: eval_peed_pldi09_fig4_5_bb0_in->eval_peed_pldi09_fig4_5_bb1_in: 1 {O(1)}
85: eval_peed_pldi09_fig4_5_bb1_in->n_eval_peed_pldi09_fig4_5_bb2_in___7: 1 {O(1)}
10: eval_peed_pldi09_fig4_5_bb3_in->eval_peed_pldi09_fig4_5_stop: 1 {O(1)}
0: eval_peed_pldi09_fig4_5_start->eval_peed_pldi09_fig4_5_bb0_in: 1 {O(1)}
82: n_eval_peed_pldi09_fig4_5_bb1_in___4->n_eval_peed_pldi09_fig4_5_bb2_in___1: Arg_2+1 {O(n)}
105: n_eval_peed_pldi09_fig4_5_bb1_in___4->eval_peed_pldi09_fig4_5_bb3_in: 1 {O(1)}
83: n_eval_peed_pldi09_fig4_5_bb1_in___5->n_eval_peed_pldi09_fig4_5_bb2_in___2: Arg_2+1 {O(n)}
106: n_eval_peed_pldi09_fig4_5_bb1_in___5->eval_peed_pldi09_fig4_5_bb3_in: 1 {O(1)}
84: n_eval_peed_pldi09_fig4_5_bb1_in___6->n_eval_peed_pldi09_fig4_5_bb2_in___3: Arg_2+Arg_3+2 {O(n)}
110: n_eval_peed_pldi09_fig4_5_bb1_in___6->eval_peed_pldi09_fig4_5_bb3_in: 1 {O(1)}
86: n_eval_peed_pldi09_fig4_5_bb2_in___1->n_eval_peed_pldi09_fig4_5_bb1_in___4: Arg_2 {O(n)}
87: n_eval_peed_pldi09_fig4_5_bb2_in___2->n_eval_peed_pldi09_fig4_5_bb1_in___5: Arg_2 {O(n)}
88: n_eval_peed_pldi09_fig4_5_bb2_in___3->n_eval_peed_pldi09_fig4_5_bb1_in___6: Arg_2+Arg_3+1 {O(n)}
89: n_eval_peed_pldi09_fig4_5_bb2_in___7->n_eval_peed_pldi09_fig4_5_bb1_in___4: 1 {O(1)}
90: n_eval_peed_pldi09_fig4_5_bb2_in___7->n_eval_peed_pldi09_fig4_5_bb1_in___5: 1 {O(1)}
91: n_eval_peed_pldi09_fig4_5_bb2_in___7->n_eval_peed_pldi09_fig4_5_bb1_in___6: 1 {O(1)}

Costbounds

Overall costbound: 2*Arg_3+6*Arg_2+17 {O(n)}
1: eval_peed_pldi09_fig4_5_bb0_in->eval_peed_pldi09_fig4_5_bb3_in: 1 {O(1)}
2: eval_peed_pldi09_fig4_5_bb0_in->eval_peed_pldi09_fig4_5_bb3_in: 1 {O(1)}
3: eval_peed_pldi09_fig4_5_bb0_in->eval_peed_pldi09_fig4_5_bb1_in: 1 {O(1)}
85: eval_peed_pldi09_fig4_5_bb1_in->n_eval_peed_pldi09_fig4_5_bb2_in___7: 1 {O(1)}
10: eval_peed_pldi09_fig4_5_bb3_in->eval_peed_pldi09_fig4_5_stop: 1 {O(1)}
0: eval_peed_pldi09_fig4_5_start->eval_peed_pldi09_fig4_5_bb0_in: 1 {O(1)}
82: n_eval_peed_pldi09_fig4_5_bb1_in___4->n_eval_peed_pldi09_fig4_5_bb2_in___1: Arg_2+1 {O(n)}
105: n_eval_peed_pldi09_fig4_5_bb1_in___4->eval_peed_pldi09_fig4_5_bb3_in: 1 {O(1)}
83: n_eval_peed_pldi09_fig4_5_bb1_in___5->n_eval_peed_pldi09_fig4_5_bb2_in___2: Arg_2+1 {O(n)}
106: n_eval_peed_pldi09_fig4_5_bb1_in___5->eval_peed_pldi09_fig4_5_bb3_in: 1 {O(1)}
84: n_eval_peed_pldi09_fig4_5_bb1_in___6->n_eval_peed_pldi09_fig4_5_bb2_in___3: Arg_2+Arg_3+2 {O(n)}
110: n_eval_peed_pldi09_fig4_5_bb1_in___6->eval_peed_pldi09_fig4_5_bb3_in: 1 {O(1)}
86: n_eval_peed_pldi09_fig4_5_bb2_in___1->n_eval_peed_pldi09_fig4_5_bb1_in___4: Arg_2 {O(n)}
87: n_eval_peed_pldi09_fig4_5_bb2_in___2->n_eval_peed_pldi09_fig4_5_bb1_in___5: Arg_2 {O(n)}
88: n_eval_peed_pldi09_fig4_5_bb2_in___3->n_eval_peed_pldi09_fig4_5_bb1_in___6: Arg_2+Arg_3+1 {O(n)}
89: n_eval_peed_pldi09_fig4_5_bb2_in___7->n_eval_peed_pldi09_fig4_5_bb1_in___4: 1 {O(1)}
90: n_eval_peed_pldi09_fig4_5_bb2_in___7->n_eval_peed_pldi09_fig4_5_bb1_in___5: 1 {O(1)}
91: n_eval_peed_pldi09_fig4_5_bb2_in___7->n_eval_peed_pldi09_fig4_5_bb1_in___6: 1 {O(1)}

Sizebounds

1: eval_peed_pldi09_fig4_5_bb0_in->eval_peed_pldi09_fig4_5_bb3_in, Arg_0: Arg_0 {O(n)}
1: eval_peed_pldi09_fig4_5_bb0_in->eval_peed_pldi09_fig4_5_bb3_in, Arg_1: Arg_1 {O(n)}
1: eval_peed_pldi09_fig4_5_bb0_in->eval_peed_pldi09_fig4_5_bb3_in, Arg_2: Arg_2 {O(n)}
1: eval_peed_pldi09_fig4_5_bb0_in->eval_peed_pldi09_fig4_5_bb3_in, Arg_3: Arg_3 {O(n)}
2: eval_peed_pldi09_fig4_5_bb0_in->eval_peed_pldi09_fig4_5_bb3_in, Arg_0: Arg_0 {O(n)}
2: eval_peed_pldi09_fig4_5_bb0_in->eval_peed_pldi09_fig4_5_bb3_in, Arg_1: Arg_1 {O(n)}
2: eval_peed_pldi09_fig4_5_bb0_in->eval_peed_pldi09_fig4_5_bb3_in, Arg_2: Arg_2 {O(n)}
2: eval_peed_pldi09_fig4_5_bb0_in->eval_peed_pldi09_fig4_5_bb3_in, Arg_3: Arg_3 {O(n)}
3: eval_peed_pldi09_fig4_5_bb0_in->eval_peed_pldi09_fig4_5_bb1_in, Arg_0: Arg_0 {O(n)}
3: eval_peed_pldi09_fig4_5_bb0_in->eval_peed_pldi09_fig4_5_bb1_in, Arg_1: Arg_2 {O(n)}
3: eval_peed_pldi09_fig4_5_bb0_in->eval_peed_pldi09_fig4_5_bb1_in, Arg_2: Arg_2 {O(n)}
3: eval_peed_pldi09_fig4_5_bb0_in->eval_peed_pldi09_fig4_5_bb1_in, Arg_3: Arg_3 {O(n)}
5: eval_peed_pldi09_fig4_5_bb1_in->eval_peed_pldi09_fig4_5_bb3_in, Arg_0: 2*Arg_0+2 {O(n)}
5: eval_peed_pldi09_fig4_5_bb1_in->eval_peed_pldi09_fig4_5_bb3_in, Arg_1: 0 {O(1)}
5: eval_peed_pldi09_fig4_5_bb1_in->eval_peed_pldi09_fig4_5_bb3_in, Arg_2: 2*Arg_2 {O(n)}
5: eval_peed_pldi09_fig4_5_bb1_in->eval_peed_pldi09_fig4_5_bb3_in, Arg_3: 2*Arg_3 {O(n)}
6: eval_peed_pldi09_fig4_5_bb1_in->eval_peed_pldi09_fig4_5_bb3_in, Arg_0: 1 {O(1)}
6: eval_peed_pldi09_fig4_5_bb1_in->eval_peed_pldi09_fig4_5_bb3_in, Arg_2: Arg_2 {O(n)}
6: eval_peed_pldi09_fig4_5_bb1_in->eval_peed_pldi09_fig4_5_bb3_in, Arg_3: Arg_3 {O(n)}
85: eval_peed_pldi09_fig4_5_bb1_in->n_eval_peed_pldi09_fig4_5_bb2_in___7, Arg_0: Arg_0 {O(n)}
85: eval_peed_pldi09_fig4_5_bb1_in->n_eval_peed_pldi09_fig4_5_bb2_in___7, Arg_1: Arg_2 {O(n)}
85: eval_peed_pldi09_fig4_5_bb1_in->n_eval_peed_pldi09_fig4_5_bb2_in___7, Arg_2: Arg_2 {O(n)}
85: eval_peed_pldi09_fig4_5_bb1_in->n_eval_peed_pldi09_fig4_5_bb2_in___7, Arg_3: Arg_3 {O(n)}
10: eval_peed_pldi09_fig4_5_bb3_in->eval_peed_pldi09_fig4_5_stop, Arg_0: 6*Arg_0+1 {O(n)}
10: eval_peed_pldi09_fig4_5_bb3_in->eval_peed_pldi09_fig4_5_stop, Arg_1: 2*Arg_1+3*Arg_2+Arg_3+3 {O(n)}
10: eval_peed_pldi09_fig4_5_bb3_in->eval_peed_pldi09_fig4_5_stop, Arg_2: 8*Arg_2 {O(n)}
10: eval_peed_pldi09_fig4_5_bb3_in->eval_peed_pldi09_fig4_5_stop, Arg_3: 8*Arg_3 {O(n)}
0: eval_peed_pldi09_fig4_5_start->eval_peed_pldi09_fig4_5_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_peed_pldi09_fig4_5_start->eval_peed_pldi09_fig4_5_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_peed_pldi09_fig4_5_start->eval_peed_pldi09_fig4_5_bb0_in, Arg_2: Arg_2 {O(n)}
0: eval_peed_pldi09_fig4_5_start->eval_peed_pldi09_fig4_5_bb0_in, Arg_3: Arg_3 {O(n)}
82: n_eval_peed_pldi09_fig4_5_bb1_in___4->n_eval_peed_pldi09_fig4_5_bb2_in___1, Arg_0: Arg_0 {O(n)}
82: n_eval_peed_pldi09_fig4_5_bb1_in___4->n_eval_peed_pldi09_fig4_5_bb2_in___1, Arg_1: Arg_2 {O(n)}
82: n_eval_peed_pldi09_fig4_5_bb1_in___4->n_eval_peed_pldi09_fig4_5_bb2_in___1, Arg_2: Arg_2 {O(n)}
82: n_eval_peed_pldi09_fig4_5_bb1_in___4->n_eval_peed_pldi09_fig4_5_bb2_in___1, Arg_3: Arg_3 {O(n)}
105: n_eval_peed_pldi09_fig4_5_bb1_in___4->eval_peed_pldi09_fig4_5_bb3_in, Arg_0: 2*Arg_0 {O(n)}
105: n_eval_peed_pldi09_fig4_5_bb1_in___4->eval_peed_pldi09_fig4_5_bb3_in, Arg_1: 0 {O(1)}
105: n_eval_peed_pldi09_fig4_5_bb1_in___4->eval_peed_pldi09_fig4_5_bb3_in, Arg_2: 2*Arg_2 {O(n)}
105: n_eval_peed_pldi09_fig4_5_bb1_in___4->eval_peed_pldi09_fig4_5_bb3_in, Arg_3: 2*Arg_3 {O(n)}
83: n_eval_peed_pldi09_fig4_5_bb1_in___5->n_eval_peed_pldi09_fig4_5_bb2_in___2, Arg_0: Arg_0 {O(n)}
83: n_eval_peed_pldi09_fig4_5_bb1_in___5->n_eval_peed_pldi09_fig4_5_bb2_in___2, Arg_1: Arg_2 {O(n)}
83: n_eval_peed_pldi09_fig4_5_bb1_in___5->n_eval_peed_pldi09_fig4_5_bb2_in___2, Arg_2: Arg_2 {O(n)}
83: n_eval_peed_pldi09_fig4_5_bb1_in___5->n_eval_peed_pldi09_fig4_5_bb2_in___2, Arg_3: Arg_3 {O(n)}
106: n_eval_peed_pldi09_fig4_5_bb1_in___5->eval_peed_pldi09_fig4_5_bb3_in, Arg_0: 2*Arg_0 {O(n)}
106: n_eval_peed_pldi09_fig4_5_bb1_in___5->eval_peed_pldi09_fig4_5_bb3_in, Arg_1: 0 {O(1)}
106: n_eval_peed_pldi09_fig4_5_bb1_in___5->eval_peed_pldi09_fig4_5_bb3_in, Arg_2: 2*Arg_2 {O(n)}
106: n_eval_peed_pldi09_fig4_5_bb1_in___5->eval_peed_pldi09_fig4_5_bb3_in, Arg_3: 2*Arg_3 {O(n)}
84: n_eval_peed_pldi09_fig4_5_bb1_in___6->n_eval_peed_pldi09_fig4_5_bb2_in___3, Arg_0: 1 {O(1)}
84: n_eval_peed_pldi09_fig4_5_bb1_in___6->n_eval_peed_pldi09_fig4_5_bb2_in___3, Arg_1: 2*Arg_2+Arg_3+2 {O(n)}
84: n_eval_peed_pldi09_fig4_5_bb1_in___6->n_eval_peed_pldi09_fig4_5_bb2_in___3, Arg_2: Arg_2 {O(n)}
84: n_eval_peed_pldi09_fig4_5_bb1_in___6->n_eval_peed_pldi09_fig4_5_bb2_in___3, Arg_3: Arg_3 {O(n)}
110: n_eval_peed_pldi09_fig4_5_bb1_in___6->eval_peed_pldi09_fig4_5_bb3_in, Arg_0: 1 {O(1)}
110: n_eval_peed_pldi09_fig4_5_bb1_in___6->eval_peed_pldi09_fig4_5_bb3_in, Arg_1: 3*Arg_2+Arg_3+3 {O(n)}
110: n_eval_peed_pldi09_fig4_5_bb1_in___6->eval_peed_pldi09_fig4_5_bb3_in, Arg_2: 2*Arg_2 {O(n)}
110: n_eval_peed_pldi09_fig4_5_bb1_in___6->eval_peed_pldi09_fig4_5_bb3_in, Arg_3: 2*Arg_3 {O(n)}
86: n_eval_peed_pldi09_fig4_5_bb2_in___1->n_eval_peed_pldi09_fig4_5_bb1_in___4, Arg_0: Arg_0 {O(n)}
86: n_eval_peed_pldi09_fig4_5_bb2_in___1->n_eval_peed_pldi09_fig4_5_bb1_in___4, Arg_1: Arg_2 {O(n)}
86: n_eval_peed_pldi09_fig4_5_bb2_in___1->n_eval_peed_pldi09_fig4_5_bb1_in___4, Arg_2: Arg_2 {O(n)}
86: n_eval_peed_pldi09_fig4_5_bb2_in___1->n_eval_peed_pldi09_fig4_5_bb1_in___4, Arg_3: Arg_3 {O(n)}
87: n_eval_peed_pldi09_fig4_5_bb2_in___2->n_eval_peed_pldi09_fig4_5_bb1_in___5, Arg_0: Arg_0 {O(n)}
87: n_eval_peed_pldi09_fig4_5_bb2_in___2->n_eval_peed_pldi09_fig4_5_bb1_in___5, Arg_1: Arg_2 {O(n)}
87: n_eval_peed_pldi09_fig4_5_bb2_in___2->n_eval_peed_pldi09_fig4_5_bb1_in___5, Arg_2: Arg_2 {O(n)}
87: n_eval_peed_pldi09_fig4_5_bb2_in___2->n_eval_peed_pldi09_fig4_5_bb1_in___5, Arg_3: Arg_3 {O(n)}
88: n_eval_peed_pldi09_fig4_5_bb2_in___3->n_eval_peed_pldi09_fig4_5_bb1_in___6, Arg_0: 1 {O(1)}
88: n_eval_peed_pldi09_fig4_5_bb2_in___3->n_eval_peed_pldi09_fig4_5_bb1_in___6, Arg_1: 2*Arg_2+Arg_3+2 {O(n)}
88: n_eval_peed_pldi09_fig4_5_bb2_in___3->n_eval_peed_pldi09_fig4_5_bb1_in___6, Arg_2: Arg_2 {O(n)}
88: n_eval_peed_pldi09_fig4_5_bb2_in___3->n_eval_peed_pldi09_fig4_5_bb1_in___6, Arg_3: Arg_3 {O(n)}
89: n_eval_peed_pldi09_fig4_5_bb2_in___7->n_eval_peed_pldi09_fig4_5_bb1_in___4, Arg_0: Arg_0 {O(n)}
89: n_eval_peed_pldi09_fig4_5_bb2_in___7->n_eval_peed_pldi09_fig4_5_bb1_in___4, Arg_1: Arg_2 {O(n)}
89: n_eval_peed_pldi09_fig4_5_bb2_in___7->n_eval_peed_pldi09_fig4_5_bb1_in___4, Arg_2: Arg_2 {O(n)}
89: n_eval_peed_pldi09_fig4_5_bb2_in___7->n_eval_peed_pldi09_fig4_5_bb1_in___4, Arg_3: Arg_3 {O(n)}
90: n_eval_peed_pldi09_fig4_5_bb2_in___7->n_eval_peed_pldi09_fig4_5_bb1_in___5, Arg_0: Arg_0 {O(n)}
90: n_eval_peed_pldi09_fig4_5_bb2_in___7->n_eval_peed_pldi09_fig4_5_bb1_in___5, Arg_1: Arg_2 {O(n)}
90: n_eval_peed_pldi09_fig4_5_bb2_in___7->n_eval_peed_pldi09_fig4_5_bb1_in___5, Arg_2: Arg_2 {O(n)}
90: n_eval_peed_pldi09_fig4_5_bb2_in___7->n_eval_peed_pldi09_fig4_5_bb1_in___5, Arg_3: Arg_3 {O(n)}
91: n_eval_peed_pldi09_fig4_5_bb2_in___7->n_eval_peed_pldi09_fig4_5_bb1_in___6, Arg_0: 1 {O(1)}
91: n_eval_peed_pldi09_fig4_5_bb2_in___7->n_eval_peed_pldi09_fig4_5_bb1_in___6, Arg_1: Arg_2+1 {O(n)}
91: n_eval_peed_pldi09_fig4_5_bb2_in___7->n_eval_peed_pldi09_fig4_5_bb1_in___6, Arg_2: Arg_2 {O(n)}
91: n_eval_peed_pldi09_fig4_5_bb2_in___7->n_eval_peed_pldi09_fig4_5_bb1_in___6, Arg_3: Arg_3 {O(n)}