Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4
Temp_Vars: nondef.0
Locations: eval_foo_.critedge_in, eval_foo_3, eval_foo_4, eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_start, eval_foo_stop
Transitions:
11:eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
9:eval_foo_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_4(Arg_0,Arg_1,nondef.0,Arg_3,Arg_4)
10:eval_foo_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb1_in(Arg_2,Arg_0,Arg_2,Arg_3,Arg_4)
1:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb1_in(Arg_4,Arg_3,Arg_2,Arg_3,Arg_4)
3:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_0<=0
4:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:100<=Arg_0
2:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<Arg_0 && Arg_0<100
6:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_0<2*Arg_1+10
5:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:2*Arg_1+10<=Arg_0
7:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
0:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
Found invariant Arg_1<=44 && Arg_1<=43+Arg_0 && Arg_0+Arg_1<=143 && Arg_0<=99 && 1<=Arg_0 for location eval_foo_bb3_in
Found invariant Arg_1<=44 && Arg_1<=43+Arg_0 && Arg_0+Arg_1<=143 && Arg_0<=99 && 1<=Arg_0 for location eval_foo_3
Found invariant Arg_0<=99 && 1<=Arg_0 for location eval_foo_bb2_in
Found invariant Arg_1<=44 && Arg_1<=43+Arg_0 && Arg_0+Arg_1<=143 && Arg_0<=99 && 1<=Arg_0 for location eval_foo_4
Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4
Temp_Vars: nondef.0
Locations: eval_foo_.critedge_in, eval_foo_3, eval_foo_4, eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_start, eval_foo_stop
Transitions:
11:eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
9:eval_foo_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_4(Arg_0,Arg_1,nondef.0,Arg_3,Arg_4):|:Arg_1<=44 && Arg_1<=43+Arg_0 && Arg_0+Arg_1<=143 && Arg_0<=99 && 1<=Arg_0
10:eval_foo_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb1_in(Arg_2,Arg_0,Arg_2,Arg_3,Arg_4):|:Arg_1<=44 && Arg_1<=43+Arg_0 && Arg_0+Arg_1<=143 && Arg_0<=99 && 1<=Arg_0
1:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb1_in(Arg_4,Arg_3,Arg_2,Arg_3,Arg_4)
3:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_0<=0
4:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:100<=Arg_0
2:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<Arg_0 && Arg_0<100
6:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_0<=99 && 1<=Arg_0 && Arg_0<2*Arg_1+10
5:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_0<=99 && 1<=Arg_0 && 2*Arg_1+10<=Arg_0
7:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_1<=44 && Arg_1<=43+Arg_0 && Arg_0+Arg_1<=143 && Arg_0<=99 && 1<=Arg_0
0:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
new bound:
2*Arg_3+90 {O(n)}
MPRF:
eval_foo_4 [89-Arg_0 ]
eval_foo_bb1_in [90-2*Arg_1 ]
eval_foo_bb2_in [90-2*Arg_1 ]
eval_foo_bb3_in [100-Arg_0 ]
eval_foo_3 [100-Arg_0 ]
new bound:
2*Arg_3+90 {O(n)}
MPRF:
eval_foo_4 [100-Arg_0 ]
eval_foo_bb1_in [90-2*Arg_1 ]
eval_foo_bb2_in [90-2*Arg_1 ]
eval_foo_bb3_in [100-Arg_0 ]
eval_foo_3 [100-Arg_0 ]
new bound:
2*Arg_3+90 {O(n)}
MPRF:
eval_foo_4 [90-2*Arg_0 ]
eval_foo_bb1_in [90-2*Arg_1 ]
eval_foo_bb2_in [90-2*Arg_1 ]
eval_foo_bb3_in [89-Arg_0 ]
eval_foo_3 [90-2*Arg_0 ]
new bound:
206*Arg_3+19360 {O(n)}
MPRF:
eval_foo_4 [19459-207*Arg_0 ]
eval_foo_bb1_in [19360-206*Arg_1 ]
eval_foo_bb2_in [19360-206*Arg_1 ]
eval_foo_bb3_in [20494-207*Arg_0 ]
eval_foo_3 [19459-207*Arg_0 ]
knowledge_propagation leads to new time bound 2*Arg_3+91 {O(n)} for transition 2:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<Arg_0 && Arg_0<100
Overall timebound:214*Arg_3+19727 {O(n)}
11: eval_foo_.critedge_in->eval_foo_stop: 1 {O(1)}
9: eval_foo_3->eval_foo_4: 2*Arg_3+90 {O(n)}
10: eval_foo_4->eval_foo_bb1_in: 2*Arg_3+90 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
2: eval_foo_bb1_in->eval_foo_bb2_in: 2*Arg_3+91 {O(n)}
3: eval_foo_bb1_in->eval_foo_.critedge_in: 1 {O(1)}
4: eval_foo_bb1_in->eval_foo_.critedge_in: 1 {O(1)}
5: eval_foo_bb2_in->eval_foo_bb3_in: 2*Arg_3+90 {O(n)}
6: eval_foo_bb2_in->eval_foo_.critedge_in: 1 {O(1)}
7: eval_foo_bb3_in->eval_foo_3: 206*Arg_3+19360 {O(n)}
0: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}
Overall costbound: 214*Arg_3+19727 {O(n)}
11: eval_foo_.critedge_in->eval_foo_stop: 1 {O(1)}
9: eval_foo_3->eval_foo_4: 2*Arg_3+90 {O(n)}
10: eval_foo_4->eval_foo_bb1_in: 2*Arg_3+90 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
2: eval_foo_bb1_in->eval_foo_bb2_in: 2*Arg_3+91 {O(n)}
3: eval_foo_bb1_in->eval_foo_.critedge_in: 1 {O(1)}
4: eval_foo_bb1_in->eval_foo_.critedge_in: 1 {O(1)}
5: eval_foo_bb2_in->eval_foo_bb3_in: 2*Arg_3+90 {O(n)}
6: eval_foo_bb2_in->eval_foo_.critedge_in: 1 {O(1)}
7: eval_foo_bb3_in->eval_foo_3: 206*Arg_3+19360 {O(n)}
0: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}
11: eval_foo_.critedge_in->eval_foo_stop, Arg_1: 3*Arg_3+297 {O(n)}
11: eval_foo_.critedge_in->eval_foo_stop, Arg_3: 5*Arg_3 {O(n)}
11: eval_foo_.critedge_in->eval_foo_stop, Arg_4: 5*Arg_4 {O(n)}
9: eval_foo_3->eval_foo_4, Arg_0: 99 {O(1)}
9: eval_foo_3->eval_foo_4, Arg_1: Arg_3+99 {O(n)}
9: eval_foo_3->eval_foo_4, Arg_3: Arg_3 {O(n)}
9: eval_foo_3->eval_foo_4, Arg_4: Arg_4 {O(n)}
10: eval_foo_4->eval_foo_bb1_in, Arg_1: 99 {O(1)}
10: eval_foo_4->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
10: eval_foo_4->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: Arg_4 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_1: Arg_3 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
2: eval_foo_bb1_in->eval_foo_bb2_in, Arg_0: 99 {O(1)}
2: eval_foo_bb1_in->eval_foo_bb2_in, Arg_1: Arg_3+99 {O(n)}
2: eval_foo_bb1_in->eval_foo_bb2_in, Arg_3: Arg_3 {O(n)}
2: eval_foo_bb1_in->eval_foo_bb2_in, Arg_4: Arg_4 {O(n)}
3: eval_foo_bb1_in->eval_foo_.critedge_in, Arg_1: Arg_3+99 {O(n)}
3: eval_foo_bb1_in->eval_foo_.critedge_in, Arg_3: 2*Arg_3 {O(n)}
3: eval_foo_bb1_in->eval_foo_.critedge_in, Arg_4: 2*Arg_4 {O(n)}
4: eval_foo_bb1_in->eval_foo_.critedge_in, Arg_1: Arg_3+99 {O(n)}
4: eval_foo_bb1_in->eval_foo_.critedge_in, Arg_3: 2*Arg_3 {O(n)}
4: eval_foo_bb1_in->eval_foo_.critedge_in, Arg_4: 2*Arg_4 {O(n)}
5: eval_foo_bb2_in->eval_foo_bb3_in, Arg_0: 99 {O(1)}
5: eval_foo_bb2_in->eval_foo_bb3_in, Arg_1: Arg_3+99 {O(n)}
5: eval_foo_bb2_in->eval_foo_bb3_in, Arg_3: Arg_3 {O(n)}
5: eval_foo_bb2_in->eval_foo_bb3_in, Arg_4: Arg_4 {O(n)}
6: eval_foo_bb2_in->eval_foo_.critedge_in, Arg_0: 99 {O(1)}
6: eval_foo_bb2_in->eval_foo_.critedge_in, Arg_1: Arg_3+99 {O(n)}
6: eval_foo_bb2_in->eval_foo_.critedge_in, Arg_3: Arg_3 {O(n)}
6: eval_foo_bb2_in->eval_foo_.critedge_in, Arg_4: Arg_4 {O(n)}
7: eval_foo_bb3_in->eval_foo_3, Arg_0: 99 {O(1)}
7: eval_foo_bb3_in->eval_foo_3, Arg_1: Arg_3+99 {O(n)}
7: eval_foo_bb3_in->eval_foo_3, Arg_3: Arg_3 {O(n)}
7: eval_foo_bb3_in->eval_foo_3, Arg_4: Arg_4 {O(n)}
0: eval_foo_start->eval_foo_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_foo_start->eval_foo_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_foo_start->eval_foo_bb0_in, Arg_2: Arg_2 {O(n)}
0: eval_foo_start->eval_foo_bb0_in, Arg_3: Arg_3 {O(n)}
0: eval_foo_start->eval_foo_bb0_in, Arg_4: Arg_4 {O(n)}