Initial Problem

Start: eval_t19_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: eval_t19_bb0_in, eval_t19_bb1_in, eval_t19_bb2_in, eval_t19_bb3_in, eval_t19_bb4_in, eval_t19_bb5_in, eval_t19_bb6_in, eval_t19_start, eval_t19_stop
Transitions:
1:eval_t19_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_t19_bb1_in(Arg_2,Arg_1,Arg_2,Arg_3)
2:eval_t19_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_t19_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3):|:100<Arg_0
3:eval_t19_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_t19_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=100
4:eval_t19_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_t19_bb1_in(Arg_0-1,Arg_1,Arg_2,Arg_3)
5:eval_t19_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_t19_bb4_in(Arg_0,Arg_0+Arg_3+50,Arg_2,Arg_3)
6:eval_t19_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_t19_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3):|:0<=Arg_1
7:eval_t19_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_t19_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<0
8:eval_t19_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_t19_bb4_in(Arg_0,Arg_1-1,Arg_2,Arg_3)
9:eval_t19_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_t19_stop(Arg_0,Arg_1,Arg_2,Arg_3)
0:eval_t19_start(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_t19_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3)

Preprocessing

Found invariant Arg_1<=150+Arg_3 && Arg_0<=Arg_2 && 1+Arg_1<=0 && Arg_0+Arg_1<=99 && Arg_0<=100 for location eval_t19_bb6_in

Found invariant Arg_0<=Arg_2 && Arg_0<=100 for location eval_t19_bb3_in

Found invariant Arg_0<=Arg_2 for location eval_t19_bb1_in

Found invariant 0<=150+Arg_3 && 0<=150+Arg_1+Arg_3 && Arg_1<=150+Arg_3 && Arg_0<=250+Arg_3 && Arg_0<=Arg_2 && 0<=Arg_1 && Arg_0<=100+Arg_1 && Arg_0<=100 for location eval_t19_bb5_in

Found invariant 101<=Arg_2 && 202<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 101<=Arg_0 for location eval_t19_bb2_in

Found invariant Arg_1<=150+Arg_3 && Arg_0<=Arg_2 && Arg_0<=100 for location eval_t19_bb4_in

Found invariant Arg_1<=150+Arg_3 && Arg_0<=Arg_2 && 1+Arg_1<=0 && Arg_0+Arg_1<=99 && Arg_0<=100 for location eval_t19_stop

Problem after Preprocessing

Start: eval_t19_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: eval_t19_bb0_in, eval_t19_bb1_in, eval_t19_bb2_in, eval_t19_bb3_in, eval_t19_bb4_in, eval_t19_bb5_in, eval_t19_bb6_in, eval_t19_start, eval_t19_stop
Transitions:
1:eval_t19_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_t19_bb1_in(Arg_2,Arg_1,Arg_2,Arg_3)
2:eval_t19_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_t19_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=Arg_2 && 100<Arg_0
3:eval_t19_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_t19_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=Arg_2 && Arg_0<=100
4:eval_t19_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_t19_bb1_in(Arg_0-1,Arg_1,Arg_2,Arg_3):|:101<=Arg_2 && 202<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 101<=Arg_0
5:eval_t19_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_t19_bb4_in(Arg_0,Arg_0+Arg_3+50,Arg_2,Arg_3):|:Arg_0<=Arg_2 && Arg_0<=100
6:eval_t19_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_t19_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=150+Arg_3 && Arg_0<=Arg_2 && Arg_0<=100 && 0<=Arg_1
7:eval_t19_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_t19_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=150+Arg_3 && Arg_0<=Arg_2 && Arg_0<=100 && Arg_1<0
8:eval_t19_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_t19_bb4_in(Arg_0,Arg_1-1,Arg_2,Arg_3):|:0<=150+Arg_3 && 0<=150+Arg_1+Arg_3 && Arg_1<=150+Arg_3 && Arg_0<=250+Arg_3 && Arg_0<=Arg_2 && 0<=Arg_1 && Arg_0<=100+Arg_1 && Arg_0<=100
9:eval_t19_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_t19_stop(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=150+Arg_3 && Arg_0<=Arg_2 && 1+Arg_1<=0 && Arg_0+Arg_1<=99 && Arg_0<=100
0:eval_t19_start(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_t19_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3)

MPRF for transition 2:eval_t19_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_t19_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=Arg_2 && 100<Arg_0 of depth 1:

new bound:

Arg_2+100 {O(n)}

MPRF:

eval_t19_bb2_in [Arg_0-101 ]
eval_t19_bb1_in [Arg_0-100 ]

MPRF for transition 4:eval_t19_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_t19_bb1_in(Arg_0-1,Arg_1,Arg_2,Arg_3):|:101<=Arg_2 && 202<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 101<=Arg_0 of depth 1:

new bound:

Arg_2+100 {O(n)}

MPRF:

eval_t19_bb2_in [Arg_0-100 ]
eval_t19_bb1_in [Arg_0-100 ]

MPRF for transition 6:eval_t19_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_t19_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=150+Arg_3 && Arg_0<=Arg_2 && Arg_0<=100 && 0<=Arg_1 of depth 1:

new bound:

2*Arg_2+2*Arg_3+51 {O(n)}

MPRF:

eval_t19_bb5_in [Arg_1 ]
eval_t19_bb4_in [Arg_1+1 ]

MPRF for transition 8:eval_t19_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_t19_bb4_in(Arg_0,Arg_1-1,Arg_2,Arg_3):|:0<=150+Arg_3 && 0<=150+Arg_1+Arg_3 && Arg_1<=150+Arg_3 && Arg_0<=250+Arg_3 && Arg_0<=Arg_2 && 0<=Arg_1 && Arg_0<=100+Arg_1 && Arg_0<=100 of depth 1:

new bound:

2*Arg_2+2*Arg_3+51 {O(n)}

MPRF:

eval_t19_bb5_in [Arg_1+1 ]
eval_t19_bb4_in [Arg_1+1 ]

All Bounds

Timebounds

Overall timebound:4*Arg_3+6*Arg_2+308 {O(n)}
1: eval_t19_bb0_in->eval_t19_bb1_in: 1 {O(1)}
2: eval_t19_bb1_in->eval_t19_bb2_in: Arg_2+100 {O(n)}
3: eval_t19_bb1_in->eval_t19_bb3_in: 1 {O(1)}
4: eval_t19_bb2_in->eval_t19_bb1_in: Arg_2+100 {O(n)}
5: eval_t19_bb3_in->eval_t19_bb4_in: 1 {O(1)}
6: eval_t19_bb4_in->eval_t19_bb5_in: 2*Arg_2+2*Arg_3+51 {O(n)}
7: eval_t19_bb4_in->eval_t19_bb6_in: 1 {O(1)}
8: eval_t19_bb5_in->eval_t19_bb4_in: 2*Arg_2+2*Arg_3+51 {O(n)}
9: eval_t19_bb6_in->eval_t19_stop: 1 {O(1)}
0: eval_t19_start->eval_t19_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: 4*Arg_3+6*Arg_2+308 {O(n)}
1: eval_t19_bb0_in->eval_t19_bb1_in: 1 {O(1)}
2: eval_t19_bb1_in->eval_t19_bb2_in: Arg_2+100 {O(n)}
3: eval_t19_bb1_in->eval_t19_bb3_in: 1 {O(1)}
4: eval_t19_bb2_in->eval_t19_bb1_in: Arg_2+100 {O(n)}
5: eval_t19_bb3_in->eval_t19_bb4_in: 1 {O(1)}
6: eval_t19_bb4_in->eval_t19_bb5_in: 2*Arg_2+2*Arg_3+51 {O(n)}
7: eval_t19_bb4_in->eval_t19_bb6_in: 1 {O(1)}
8: eval_t19_bb5_in->eval_t19_bb4_in: 2*Arg_2+2*Arg_3+51 {O(n)}
9: eval_t19_bb6_in->eval_t19_stop: 1 {O(1)}
0: eval_t19_start->eval_t19_bb0_in: 1 {O(1)}

Sizebounds

1: eval_t19_bb0_in->eval_t19_bb1_in, Arg_0: Arg_2 {O(n)}
1: eval_t19_bb0_in->eval_t19_bb1_in, Arg_1: Arg_1 {O(n)}
1: eval_t19_bb0_in->eval_t19_bb1_in, Arg_2: Arg_2 {O(n)}
1: eval_t19_bb0_in->eval_t19_bb1_in, Arg_3: Arg_3 {O(n)}
2: eval_t19_bb1_in->eval_t19_bb2_in, Arg_0: Arg_2 {O(n)}
2: eval_t19_bb1_in->eval_t19_bb2_in, Arg_1: Arg_1 {O(n)}
2: eval_t19_bb1_in->eval_t19_bb2_in, Arg_2: Arg_2 {O(n)}
2: eval_t19_bb1_in->eval_t19_bb2_in, Arg_3: Arg_3 {O(n)}
3: eval_t19_bb1_in->eval_t19_bb3_in, Arg_0: 2*Arg_2 {O(n)}
3: eval_t19_bb1_in->eval_t19_bb3_in, Arg_1: 2*Arg_1 {O(n)}
3: eval_t19_bb1_in->eval_t19_bb3_in, Arg_2: 2*Arg_2 {O(n)}
3: eval_t19_bb1_in->eval_t19_bb3_in, Arg_3: 2*Arg_3 {O(n)}
4: eval_t19_bb2_in->eval_t19_bb1_in, Arg_0: Arg_2 {O(n)}
4: eval_t19_bb2_in->eval_t19_bb1_in, Arg_1: Arg_1 {O(n)}
4: eval_t19_bb2_in->eval_t19_bb1_in, Arg_2: Arg_2 {O(n)}
4: eval_t19_bb2_in->eval_t19_bb1_in, Arg_3: Arg_3 {O(n)}
5: eval_t19_bb3_in->eval_t19_bb4_in, Arg_0: 2*Arg_2 {O(n)}
5: eval_t19_bb3_in->eval_t19_bb4_in, Arg_1: 2*Arg_2+2*Arg_3+50 {O(n)}
5: eval_t19_bb3_in->eval_t19_bb4_in, Arg_2: 2*Arg_2 {O(n)}
5: eval_t19_bb3_in->eval_t19_bb4_in, Arg_3: 2*Arg_3 {O(n)}
6: eval_t19_bb4_in->eval_t19_bb5_in, Arg_0: 2*Arg_2 {O(n)}
6: eval_t19_bb4_in->eval_t19_bb5_in, Arg_1: 2*Arg_2+2*Arg_3+51 {O(n)}
6: eval_t19_bb4_in->eval_t19_bb5_in, Arg_2: 2*Arg_2 {O(n)}
6: eval_t19_bb4_in->eval_t19_bb5_in, Arg_3: 2*Arg_3 {O(n)}
7: eval_t19_bb4_in->eval_t19_bb6_in, Arg_0: 4*Arg_2 {O(n)}
7: eval_t19_bb4_in->eval_t19_bb6_in, Arg_1: 4*Arg_2+4*Arg_3+101 {O(n)}
7: eval_t19_bb4_in->eval_t19_bb6_in, Arg_2: 4*Arg_2 {O(n)}
7: eval_t19_bb4_in->eval_t19_bb6_in, Arg_3: 4*Arg_3 {O(n)}
8: eval_t19_bb5_in->eval_t19_bb4_in, Arg_0: 2*Arg_2 {O(n)}
8: eval_t19_bb5_in->eval_t19_bb4_in, Arg_1: 2*Arg_2+2*Arg_3+51 {O(n)}
8: eval_t19_bb5_in->eval_t19_bb4_in, Arg_2: 2*Arg_2 {O(n)}
8: eval_t19_bb5_in->eval_t19_bb4_in, Arg_3: 2*Arg_3 {O(n)}
9: eval_t19_bb6_in->eval_t19_stop, Arg_0: 4*Arg_2 {O(n)}
9: eval_t19_bb6_in->eval_t19_stop, Arg_1: 4*Arg_2+4*Arg_3+101 {O(n)}
9: eval_t19_bb6_in->eval_t19_stop, Arg_2: 4*Arg_2 {O(n)}
9: eval_t19_bb6_in->eval_t19_stop, Arg_3: 4*Arg_3 {O(n)}
0: eval_t19_start->eval_t19_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_t19_start->eval_t19_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_t19_start->eval_t19_bb0_in, Arg_2: Arg_2 {O(n)}
0: eval_t19_start->eval_t19_bb0_in, Arg_3: Arg_3 {O(n)}