Initial Problem

Start: eval_start_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: eval_start_0, eval_start_1, eval_start_2, eval_start_3, eval_start_4, eval_start_5, eval_start_6, eval_start_bb0_in, eval_start_bb1_in, eval_start_bb2_in, eval_start_bb3_in, eval_start_bb4_in, eval_start_bb5_in, eval_start_start, eval_start_stop
Transitions:
2:eval_start_0(Arg_0,Arg_1,Arg_2) -> eval_start_1(Arg_0,Arg_1,Arg_2)
3:eval_start_1(Arg_0,Arg_1,Arg_2) -> eval_start_2(Arg_0,Arg_1,Arg_2)
4:eval_start_2(Arg_0,Arg_1,Arg_2) -> eval_start_3(Arg_0,Arg_1,Arg_2)
5:eval_start_3(Arg_0,Arg_1,Arg_2) -> eval_start_4(Arg_0,Arg_1,Arg_2)
6:eval_start_4(Arg_0,Arg_1,Arg_2) -> eval_start_5(Arg_0,Arg_1,Arg_2)
7:eval_start_5(Arg_0,Arg_1,Arg_2) -> eval_start_6(Arg_0,Arg_1,Arg_2)
8:eval_start_6(Arg_0,Arg_1,Arg_2) -> eval_start_bb1_in(Arg_0,0,0)
1:eval_start_bb0_in(Arg_0,Arg_1,Arg_2) -> eval_start_0(Arg_0,Arg_1,Arg_2)
9:eval_start_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_start_bb2_in(Arg_0,Arg_1,Arg_2):|:Arg_1<Arg_0
10:eval_start_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_start_bb3_in(Arg_0,Arg_1,Arg_2):|:Arg_0<=Arg_1
11:eval_start_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_start_bb1_in(Arg_0,Arg_1+1,Arg_2+1)
12:eval_start_bb3_in(Arg_0,Arg_1,Arg_2) -> eval_start_bb4_in(Arg_0,Arg_1,Arg_2):|:0<Arg_2
13:eval_start_bb3_in(Arg_0,Arg_1,Arg_2) -> eval_start_bb5_in(Arg_0,Arg_1,Arg_2):|:Arg_2<=0
14:eval_start_bb4_in(Arg_0,Arg_1,Arg_2) -> eval_start_bb1_in(Arg_0,Arg_1,Arg_2-1)
15:eval_start_bb5_in(Arg_0,Arg_1,Arg_2) -> eval_start_stop(Arg_0,Arg_1,Arg_2)
0:eval_start_start(Arg_0,Arg_1,Arg_2) -> eval_start_bb0_in(Arg_0,Arg_1,Arg_2)

Preprocessing

Found invariant Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 for location eval_start_bb1_in

Found invariant Arg_2<=0 && Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_0<=Arg_1 for location eval_start_stop

Found invariant Arg_2<=0 && Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_0<=Arg_1 for location eval_start_bb5_in

Found invariant Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 for location eval_start_bb2_in

Found invariant Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_0<=Arg_1 for location eval_start_bb3_in

Found invariant Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 for location eval_start_bb4_in

Problem after Preprocessing

Start: eval_start_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: eval_start_0, eval_start_1, eval_start_2, eval_start_3, eval_start_4, eval_start_5, eval_start_6, eval_start_bb0_in, eval_start_bb1_in, eval_start_bb2_in, eval_start_bb3_in, eval_start_bb4_in, eval_start_bb5_in, eval_start_start, eval_start_stop
Transitions:
2:eval_start_0(Arg_0,Arg_1,Arg_2) -> eval_start_1(Arg_0,Arg_1,Arg_2)
3:eval_start_1(Arg_0,Arg_1,Arg_2) -> eval_start_2(Arg_0,Arg_1,Arg_2)
4:eval_start_2(Arg_0,Arg_1,Arg_2) -> eval_start_3(Arg_0,Arg_1,Arg_2)
5:eval_start_3(Arg_0,Arg_1,Arg_2) -> eval_start_4(Arg_0,Arg_1,Arg_2)
6:eval_start_4(Arg_0,Arg_1,Arg_2) -> eval_start_5(Arg_0,Arg_1,Arg_2)
7:eval_start_5(Arg_0,Arg_1,Arg_2) -> eval_start_6(Arg_0,Arg_1,Arg_2)
8:eval_start_6(Arg_0,Arg_1,Arg_2) -> eval_start_bb1_in(Arg_0,0,0)
1:eval_start_bb0_in(Arg_0,Arg_1,Arg_2) -> eval_start_0(Arg_0,Arg_1,Arg_2)
9:eval_start_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_start_bb2_in(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_1<Arg_0
10:eval_start_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_start_bb3_in(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_0<=Arg_1
11:eval_start_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_start_bb1_in(Arg_0,Arg_1+1,Arg_2+1):|:Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0
12:eval_start_bb3_in(Arg_0,Arg_1,Arg_2) -> eval_start_bb4_in(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_0<=Arg_1 && 0<Arg_2
13:eval_start_bb3_in(Arg_0,Arg_1,Arg_2) -> eval_start_bb5_in(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_0<=Arg_1 && Arg_2<=0
14:eval_start_bb4_in(Arg_0,Arg_1,Arg_2) -> eval_start_bb1_in(Arg_0,Arg_1,Arg_2-1):|:Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1
15:eval_start_bb5_in(Arg_0,Arg_1,Arg_2) -> eval_start_stop(Arg_0,Arg_1,Arg_2):|:Arg_2<=0 && Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_0<=Arg_1
0:eval_start_start(Arg_0,Arg_1,Arg_2) -> eval_start_bb0_in(Arg_0,Arg_1,Arg_2)

MPRF for transition 9:eval_start_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_start_bb2_in(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_1<Arg_0 of depth 1:

new bound:

Arg_0 {O(n)}

MPRF:

eval_start_bb2_in [Arg_0-Arg_1-1 ]
eval_start_bb3_in [Arg_0-Arg_1 ]
eval_start_bb4_in [Arg_0-Arg_1 ]
eval_start_bb1_in [Arg_0-Arg_1 ]

MPRF for transition 11:eval_start_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_start_bb1_in(Arg_0,Arg_1+1,Arg_2+1):|:Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 of depth 1:

new bound:

Arg_0 {O(n)}

MPRF:

eval_start_bb2_in [Arg_0-Arg_1 ]
eval_start_bb3_in [Arg_0-Arg_1 ]
eval_start_bb4_in [Arg_0-Arg_1 ]
eval_start_bb1_in [Arg_0-Arg_1 ]

MPRF for transition 10:eval_start_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_start_bb3_in(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_0<=Arg_1 of depth 1:

new bound:

Arg_0*Arg_0+Arg_0+1 {O(n^2)}

MPRF:

eval_start_bb2_in [Arg_2+1 ]
eval_start_bb3_in [Arg_2 ]
eval_start_bb4_in [Arg_2 ]
eval_start_bb1_in [Arg_2+1 ]

MPRF for transition 12:eval_start_bb3_in(Arg_0,Arg_1,Arg_2) -> eval_start_bb4_in(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_0<=Arg_1 && 0<Arg_2 of depth 1:

new bound:

Arg_0*Arg_0+Arg_0+1 {O(n^2)}

MPRF:

eval_start_bb2_in [Arg_2+1 ]
eval_start_bb3_in [Arg_2+1 ]
eval_start_bb4_in [Arg_2 ]
eval_start_bb1_in [Arg_2+1 ]

MPRF for transition 14:eval_start_bb4_in(Arg_0,Arg_1,Arg_2) -> eval_start_bb1_in(Arg_0,Arg_1,Arg_2-1):|:Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 of depth 1:

new bound:

Arg_0*Arg_0 {O(n^2)}

MPRF:

eval_start_bb2_in [Arg_2 ]
eval_start_bb3_in [Arg_2 ]
eval_start_bb4_in [Arg_2 ]
eval_start_bb1_in [Arg_2 ]

Analysing control-flow refined program

Cut unsatisfiable transition 114: n_eval_start_bb3_in___5->eval_start_bb5_in

Found invariant 1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_start_bb1_in___3

Found invariant 1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_start_bb3_in___2

Found invariant Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 0<=Arg_1 for location eval_start_bb1_in

Found invariant 1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 for location n_eval_start_bb4_in___1

Found invariant Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_start_bb3_in___5

Found invariant Arg_2<=0 && Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_0<=Arg_1 for location eval_start_stop

Found invariant Arg_2<=0 && Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_0<=Arg_1 for location eval_start_bb5_in

Found invariant Arg_2<=0 && Arg_2<=Arg_1 && Arg_1+Arg_2<=0 && Arg_0+Arg_2<=0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && Arg_0<=Arg_2 && Arg_1<=0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 for location n_eval_start_bb3_in___6

Found invariant Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_start_bb4_in___4

Found invariant Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 for location eval_start_bb2_in

MPRF for transition 99:n_eval_start_bb1_in___3(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb3_in___2(Arg_0,Arg_1,Arg_2):|:1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_0<=Arg_1 && Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_2 && Arg_2<=Arg_1 && Arg_0<=Arg_1 && 0<=Arg_2 && 1+Arg_2<=Arg_1 && Arg_0<=Arg_1 && Arg_2<=Arg_1 && 0<=Arg_2 && Arg_0<=Arg_1 of depth 1:

new bound:

Arg_0+1 {O(n)}

MPRF:

n_eval_start_bb3_in___2 [Arg_2 ]
n_eval_start_bb4_in___1 [Arg_2 ]
n_eval_start_bb1_in___3 [Arg_2+1 ]

MPRF for transition 102:n_eval_start_bb3_in___2(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb4_in___1(Arg_0,Arg_1,Arg_2):|:1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_0<=Arg_1 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && Arg_2<=Arg_1 && 0<Arg_2 && Arg_0<=Arg_1 of depth 1:

new bound:

Arg_0+1 {O(n)}

MPRF:

n_eval_start_bb3_in___2 [Arg_2+1 ]
n_eval_start_bb4_in___1 [Arg_2 ]
n_eval_start_bb1_in___3 [Arg_2+1 ]

MPRF for transition 104:n_eval_start_bb4_in___1(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb1_in___3(Arg_0,Arg_1,Arg_2-1):|:1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 && Arg_0<=Arg_1 && 1+Arg_2<=Arg_1 && 0<Arg_2 && Arg_2<=Arg_1 && 1<=Arg_2 && Arg_0<=Arg_1 of depth 1:

new bound:

Arg_0 {O(n)}

MPRF:

n_eval_start_bb3_in___2 [Arg_2 ]
n_eval_start_bb4_in___1 [Arg_2 ]
n_eval_start_bb1_in___3 [Arg_2 ]

CFR: Improvement to new bound with the following program:

new bound:

5*Arg_0+2 {O(n)}

cfr-program:

Start: eval_start_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: eval_start_0, eval_start_1, eval_start_2, eval_start_3, eval_start_4, eval_start_5, eval_start_6, eval_start_bb0_in, eval_start_bb1_in, eval_start_bb2_in, eval_start_bb5_in, eval_start_start, eval_start_stop, n_eval_start_bb1_in___3, n_eval_start_bb3_in___2, n_eval_start_bb3_in___5, n_eval_start_bb3_in___6, n_eval_start_bb4_in___1, n_eval_start_bb4_in___4
Transitions:
2:eval_start_0(Arg_0,Arg_1,Arg_2) -> eval_start_1(Arg_0,Arg_1,Arg_2)
3:eval_start_1(Arg_0,Arg_1,Arg_2) -> eval_start_2(Arg_0,Arg_1,Arg_2)
4:eval_start_2(Arg_0,Arg_1,Arg_2) -> eval_start_3(Arg_0,Arg_1,Arg_2)
5:eval_start_3(Arg_0,Arg_1,Arg_2) -> eval_start_4(Arg_0,Arg_1,Arg_2)
6:eval_start_4(Arg_0,Arg_1,Arg_2) -> eval_start_5(Arg_0,Arg_1,Arg_2)
7:eval_start_5(Arg_0,Arg_1,Arg_2) -> eval_start_6(Arg_0,Arg_1,Arg_2)
8:eval_start_6(Arg_0,Arg_1,Arg_2) -> eval_start_bb1_in(Arg_0,0,0)
1:eval_start_bb0_in(Arg_0,Arg_1,Arg_2) -> eval_start_0(Arg_0,Arg_1,Arg_2)
9:eval_start_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_start_bb2_in(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 0<=Arg_1 && Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_1<Arg_0
100:eval_start_bb1_in(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb3_in___5(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 0<=Arg_1 && Arg_2<=Arg_1 && 0<=Arg_2 && 0<Arg_2 && 1<=Arg_2 && 1<=Arg_2 && Arg_2<=Arg_1 && Arg_1<=Arg_0 && Arg_2<=Arg_1 && 0<=Arg_2 && Arg_0<=Arg_1
101:eval_start_bb1_in(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb3_in___6(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 0<=Arg_1 && Arg_2<=Arg_1 && 0<=Arg_2 && Arg_1<=0 && 0<=Arg_1 && Arg_2<=0 && 0<=Arg_2 && Arg_2<=Arg_1 && 0<=Arg_2 && Arg_0<=Arg_1
11:eval_start_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_start_bb1_in(Arg_0,Arg_1+1,Arg_2+1):|:Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0
15:eval_start_bb5_in(Arg_0,Arg_1,Arg_2) -> eval_start_stop(Arg_0,Arg_1,Arg_2):|:Arg_2<=0 && Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_0<=Arg_1 && Arg_2<=0 && Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_0<=Arg_1
0:eval_start_start(Arg_0,Arg_1,Arg_2) -> eval_start_bb0_in(Arg_0,Arg_1,Arg_2)
99:n_eval_start_bb1_in___3(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb3_in___2(Arg_0,Arg_1,Arg_2):|:1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_0<=Arg_1 && Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_2 && Arg_2<=Arg_1 && Arg_0<=Arg_1 && 0<=Arg_2 && 1+Arg_2<=Arg_1 && Arg_0<=Arg_1 && Arg_2<=Arg_1 && 0<=Arg_2 && Arg_0<=Arg_1
113:n_eval_start_bb3_in___2(Arg_0,Arg_1,Arg_2) -> eval_start_bb5_in(Arg_0,Arg_1,Arg_2):|:1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_0<=Arg_1 && Arg_2<=0
102:n_eval_start_bb3_in___2(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb4_in___1(Arg_0,Arg_1,Arg_2):|:1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_0<=Arg_1 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && Arg_2<=Arg_1 && 0<Arg_2 && Arg_0<=Arg_1
103:n_eval_start_bb3_in___5(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb4_in___4(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_2<=Arg_0 && 1<=Arg_2 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && Arg_2<=Arg_1 && 0<Arg_2 && Arg_0<=Arg_1
115:n_eval_start_bb3_in___6(Arg_0,Arg_1,Arg_2) -> eval_start_bb5_in(Arg_0,Arg_1,Arg_2):|:Arg_2<=0 && Arg_2<=Arg_1 && Arg_1+Arg_2<=0 && Arg_0+Arg_2<=0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && Arg_0<=Arg_2 && Arg_1<=0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_0<=Arg_1 && Arg_2<=0
104:n_eval_start_bb4_in___1(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb1_in___3(Arg_0,Arg_1,Arg_2-1):|:1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 && Arg_0<=Arg_1 && 1+Arg_2<=Arg_1 && 0<Arg_2 && Arg_2<=Arg_1 && 1<=Arg_2 && Arg_0<=Arg_1
105:n_eval_start_bb4_in___4(Arg_0,Arg_1,Arg_2) -> n_eval_start_bb1_in___3(Arg_0,Arg_1,Arg_2-1):|:Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_2<=Arg_0 && 1<=Arg_2 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && Arg_2<=Arg_1 && 1<=Arg_2 && Arg_0<=Arg_1

All Bounds

Timebounds

Overall timebound:5*Arg_0+18 {O(n)}
2: eval_start_0->eval_start_1: 1 {O(1)}
3: eval_start_1->eval_start_2: 1 {O(1)}
4: eval_start_2->eval_start_3: 1 {O(1)}
5: eval_start_3->eval_start_4: 1 {O(1)}
6: eval_start_4->eval_start_5: 1 {O(1)}
7: eval_start_5->eval_start_6: 1 {O(1)}
8: eval_start_6->eval_start_bb1_in: 1 {O(1)}
1: eval_start_bb0_in->eval_start_0: 1 {O(1)}
9: eval_start_bb1_in->eval_start_bb2_in: Arg_0 {O(n)}
100: eval_start_bb1_in->n_eval_start_bb3_in___5: 1 {O(1)}
101: eval_start_bb1_in->n_eval_start_bb3_in___6: 1 {O(1)}
11: eval_start_bb2_in->eval_start_bb1_in: Arg_0 {O(n)}
15: eval_start_bb5_in->eval_start_stop: 1 {O(1)}
0: eval_start_start->eval_start_bb0_in: 1 {O(1)}
99: n_eval_start_bb1_in___3->n_eval_start_bb3_in___2: Arg_0+1 {O(n)}
102: n_eval_start_bb3_in___2->n_eval_start_bb4_in___1: Arg_0+1 {O(n)}
113: n_eval_start_bb3_in___2->eval_start_bb5_in: 1 {O(1)}
103: n_eval_start_bb3_in___5->n_eval_start_bb4_in___4: 1 {O(1)}
115: n_eval_start_bb3_in___6->eval_start_bb5_in: 1 {O(1)}
104: n_eval_start_bb4_in___1->n_eval_start_bb1_in___3: Arg_0 {O(n)}
105: n_eval_start_bb4_in___4->n_eval_start_bb1_in___3: 1 {O(1)}

Costbounds

Overall costbound: 5*Arg_0+18 {O(n)}
2: eval_start_0->eval_start_1: 1 {O(1)}
3: eval_start_1->eval_start_2: 1 {O(1)}
4: eval_start_2->eval_start_3: 1 {O(1)}
5: eval_start_3->eval_start_4: 1 {O(1)}
6: eval_start_4->eval_start_5: 1 {O(1)}
7: eval_start_5->eval_start_6: 1 {O(1)}
8: eval_start_6->eval_start_bb1_in: 1 {O(1)}
1: eval_start_bb0_in->eval_start_0: 1 {O(1)}
9: eval_start_bb1_in->eval_start_bb2_in: Arg_0 {O(n)}
100: eval_start_bb1_in->n_eval_start_bb3_in___5: 1 {O(1)}
101: eval_start_bb1_in->n_eval_start_bb3_in___6: 1 {O(1)}
11: eval_start_bb2_in->eval_start_bb1_in: Arg_0 {O(n)}
15: eval_start_bb5_in->eval_start_stop: 1 {O(1)}
0: eval_start_start->eval_start_bb0_in: 1 {O(1)}
99: n_eval_start_bb1_in___3->n_eval_start_bb3_in___2: Arg_0+1 {O(n)}
102: n_eval_start_bb3_in___2->n_eval_start_bb4_in___1: Arg_0+1 {O(n)}
113: n_eval_start_bb3_in___2->eval_start_bb5_in: 1 {O(1)}
103: n_eval_start_bb3_in___5->n_eval_start_bb4_in___4: 1 {O(1)}
115: n_eval_start_bb3_in___6->eval_start_bb5_in: 1 {O(1)}
104: n_eval_start_bb4_in___1->n_eval_start_bb1_in___3: Arg_0 {O(n)}
105: n_eval_start_bb4_in___4->n_eval_start_bb1_in___3: 1 {O(1)}

Sizebounds

2: eval_start_0->eval_start_1, Arg_0: Arg_0 {O(n)}
2: eval_start_0->eval_start_1, Arg_1: Arg_1 {O(n)}
2: eval_start_0->eval_start_1, Arg_2: Arg_2 {O(n)}
3: eval_start_1->eval_start_2, Arg_0: Arg_0 {O(n)}
3: eval_start_1->eval_start_2, Arg_1: Arg_1 {O(n)}
3: eval_start_1->eval_start_2, Arg_2: Arg_2 {O(n)}
4: eval_start_2->eval_start_3, Arg_0: Arg_0 {O(n)}
4: eval_start_2->eval_start_3, Arg_1: Arg_1 {O(n)}
4: eval_start_2->eval_start_3, Arg_2: Arg_2 {O(n)}
5: eval_start_3->eval_start_4, Arg_0: Arg_0 {O(n)}
5: eval_start_3->eval_start_4, Arg_1: Arg_1 {O(n)}
5: eval_start_3->eval_start_4, Arg_2: Arg_2 {O(n)}
6: eval_start_4->eval_start_5, Arg_0: Arg_0 {O(n)}
6: eval_start_4->eval_start_5, Arg_1: Arg_1 {O(n)}
6: eval_start_4->eval_start_5, Arg_2: Arg_2 {O(n)}
7: eval_start_5->eval_start_6, Arg_0: Arg_0 {O(n)}
7: eval_start_5->eval_start_6, Arg_1: Arg_1 {O(n)}
7: eval_start_5->eval_start_6, Arg_2: Arg_2 {O(n)}
8: eval_start_6->eval_start_bb1_in, Arg_0: Arg_0 {O(n)}
8: eval_start_6->eval_start_bb1_in, Arg_1: 0 {O(1)}
8: eval_start_6->eval_start_bb1_in, Arg_2: 0 {O(1)}
1: eval_start_bb0_in->eval_start_0, Arg_0: Arg_0 {O(n)}
1: eval_start_bb0_in->eval_start_0, Arg_1: Arg_1 {O(n)}
1: eval_start_bb0_in->eval_start_0, Arg_2: Arg_2 {O(n)}
9: eval_start_bb1_in->eval_start_bb2_in, Arg_0: Arg_0 {O(n)}
9: eval_start_bb1_in->eval_start_bb2_in, Arg_1: Arg_0 {O(n)}
9: eval_start_bb1_in->eval_start_bb2_in, Arg_2: Arg_0 {O(n)}
100: eval_start_bb1_in->n_eval_start_bb3_in___5, Arg_0: Arg_0 {O(n)}
100: eval_start_bb1_in->n_eval_start_bb3_in___5, Arg_1: Arg_0 {O(n)}
100: eval_start_bb1_in->n_eval_start_bb3_in___5, Arg_2: Arg_0 {O(n)}
101: eval_start_bb1_in->n_eval_start_bb3_in___6, Arg_0: Arg_0 {O(n)}
101: eval_start_bb1_in->n_eval_start_bb3_in___6, Arg_1: 0 {O(1)}
101: eval_start_bb1_in->n_eval_start_bb3_in___6, Arg_2: 0 {O(1)}
11: eval_start_bb2_in->eval_start_bb1_in, Arg_0: Arg_0 {O(n)}
11: eval_start_bb2_in->eval_start_bb1_in, Arg_1: Arg_0 {O(n)}
11: eval_start_bb2_in->eval_start_bb1_in, Arg_2: Arg_0 {O(n)}
15: eval_start_bb5_in->eval_start_stop, Arg_0: 2*Arg_0 {O(n)}
15: eval_start_bb5_in->eval_start_stop, Arg_1: Arg_0 {O(n)}
15: eval_start_bb5_in->eval_start_stop, Arg_2: 0 {O(1)}
0: eval_start_start->eval_start_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_start_start->eval_start_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_start_start->eval_start_bb0_in, Arg_2: Arg_2 {O(n)}
99: n_eval_start_bb1_in___3->n_eval_start_bb3_in___2, Arg_0: Arg_0 {O(n)}
99: n_eval_start_bb1_in___3->n_eval_start_bb3_in___2, Arg_1: Arg_0 {O(n)}
99: n_eval_start_bb1_in___3->n_eval_start_bb3_in___2, Arg_2: Arg_0 {O(n)}
102: n_eval_start_bb3_in___2->n_eval_start_bb4_in___1, Arg_0: Arg_0 {O(n)}
102: n_eval_start_bb3_in___2->n_eval_start_bb4_in___1, Arg_1: Arg_0 {O(n)}
102: n_eval_start_bb3_in___2->n_eval_start_bb4_in___1, Arg_2: Arg_0 {O(n)}
113: n_eval_start_bb3_in___2->eval_start_bb5_in, Arg_0: Arg_0 {O(n)}
113: n_eval_start_bb3_in___2->eval_start_bb5_in, Arg_1: Arg_0 {O(n)}
113: n_eval_start_bb3_in___2->eval_start_bb5_in, Arg_2: 0 {O(1)}
103: n_eval_start_bb3_in___5->n_eval_start_bb4_in___4, Arg_0: Arg_0 {O(n)}
103: n_eval_start_bb3_in___5->n_eval_start_bb4_in___4, Arg_1: Arg_0 {O(n)}
103: n_eval_start_bb3_in___5->n_eval_start_bb4_in___4, Arg_2: Arg_0 {O(n)}
115: n_eval_start_bb3_in___6->eval_start_bb5_in, Arg_0: Arg_0 {O(n)}
115: n_eval_start_bb3_in___6->eval_start_bb5_in, Arg_1: 0 {O(1)}
115: n_eval_start_bb3_in___6->eval_start_bb5_in, Arg_2: 0 {O(1)}
104: n_eval_start_bb4_in___1->n_eval_start_bb1_in___3, Arg_0: Arg_0 {O(n)}
104: n_eval_start_bb4_in___1->n_eval_start_bb1_in___3, Arg_1: Arg_0 {O(n)}
104: n_eval_start_bb4_in___1->n_eval_start_bb1_in___3, Arg_2: Arg_0 {O(n)}
105: n_eval_start_bb4_in___4->n_eval_start_bb1_in___3, Arg_0: Arg_0 {O(n)}
105: n_eval_start_bb4_in___4->n_eval_start_bb1_in___3, Arg_1: Arg_0 {O(n)}
105: n_eval_start_bb4_in___4->n_eval_start_bb1_in___3, Arg_2: Arg_0 {O(n)}