Initial Problem
Start: eval_wcet2_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: eval_wcet2_bb0_in, eval_wcet2_bb1_in, eval_wcet2_bb2_in, eval_wcet2_bb3_in, eval_wcet2_bb4_in, eval_wcet2_bb5_in, eval_wcet2_start, eval_wcet2_stop
Transitions:
1:eval_wcet2_bb0_in(Arg_0,Arg_1,Arg_2) -> eval_wcet2_bb1_in(Arg_1,Arg_1,Arg_2)
2:eval_wcet2_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_wcet2_bb2_in(Arg_0,Arg_1,0):|:Arg_0<5
3:eval_wcet2_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_wcet2_bb5_in(Arg_0,Arg_1,Arg_2):|:5<=Arg_0
4:eval_wcet2_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_wcet2_bb3_in(Arg_0,Arg_1,Arg_2):|:2<Arg_0 && Arg_2<=9
5:eval_wcet2_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_wcet2_bb4_in(Arg_0,Arg_1,Arg_2):|:Arg_0<=2
6:eval_wcet2_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_wcet2_bb4_in(Arg_0,Arg_1,Arg_2):|:9<Arg_2
7:eval_wcet2_bb3_in(Arg_0,Arg_1,Arg_2) -> eval_wcet2_bb2_in(Arg_0,Arg_1,Arg_2+1)
8:eval_wcet2_bb4_in(Arg_0,Arg_1,Arg_2) -> eval_wcet2_bb1_in(Arg_0+1,Arg_1,Arg_2)
9:eval_wcet2_bb5_in(Arg_0,Arg_1,Arg_2) -> eval_wcet2_stop(Arg_0,Arg_1,Arg_2)
0:eval_wcet2_start(Arg_0,Arg_1,Arg_2) -> eval_wcet2_bb0_in(Arg_0,Arg_1,Arg_2)
Preprocessing
Found invariant Arg_1<=Arg_0 for location eval_wcet2_bb1_in
Found invariant 0<=Arg_2 && Arg_1<=2+Arg_2 && Arg_0<=2+Arg_2 && Arg_1<=4 && Arg_1<=Arg_0 && Arg_0+Arg_1<=8 && Arg_0<=4 for location eval_wcet2_bb4_in
Found invariant Arg_1<=Arg_0 && 5<=Arg_0 for location eval_wcet2_bb5_in
Found invariant 0<=Arg_2 && Arg_1<=4+Arg_2 && Arg_0<=4+Arg_2 && Arg_1<=4 && Arg_1<=Arg_0 && Arg_0+Arg_1<=8 && Arg_0<=4 for location eval_wcet2_bb2_in
Found invariant Arg_2<=9 && Arg_1+Arg_2<=13 && Arg_2<=6+Arg_0 && Arg_0+Arg_2<=13 && 0<=Arg_2 && Arg_1<=4+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=4+Arg_2 && Arg_1<=4 && Arg_1<=Arg_0 && Arg_0+Arg_1<=8 && Arg_0<=4 && 3<=Arg_0 for location eval_wcet2_bb3_in
Found invariant Arg_1<=Arg_0 && 5<=Arg_0 for location eval_wcet2_stop
Problem after Preprocessing
Start: eval_wcet2_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: eval_wcet2_bb0_in, eval_wcet2_bb1_in, eval_wcet2_bb2_in, eval_wcet2_bb3_in, eval_wcet2_bb4_in, eval_wcet2_bb5_in, eval_wcet2_start, eval_wcet2_stop
Transitions:
1:eval_wcet2_bb0_in(Arg_0,Arg_1,Arg_2) -> eval_wcet2_bb1_in(Arg_1,Arg_1,Arg_2)
2:eval_wcet2_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_wcet2_bb2_in(Arg_0,Arg_1,0):|:Arg_1<=Arg_0 && Arg_0<5
3:eval_wcet2_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_wcet2_bb5_in(Arg_0,Arg_1,Arg_2):|:Arg_1<=Arg_0 && 5<=Arg_0
4:eval_wcet2_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_wcet2_bb3_in(Arg_0,Arg_1,Arg_2):|:0<=Arg_2 && Arg_1<=4+Arg_2 && Arg_0<=4+Arg_2 && Arg_1<=4 && Arg_1<=Arg_0 && Arg_0+Arg_1<=8 && Arg_0<=4 && 2<Arg_0 && Arg_2<=9
5:eval_wcet2_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_wcet2_bb4_in(Arg_0,Arg_1,Arg_2):|:0<=Arg_2 && Arg_1<=4+Arg_2 && Arg_0<=4+Arg_2 && Arg_1<=4 && Arg_1<=Arg_0 && Arg_0+Arg_1<=8 && Arg_0<=4 && Arg_0<=2
6:eval_wcet2_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_wcet2_bb4_in(Arg_0,Arg_1,Arg_2):|:0<=Arg_2 && Arg_1<=4+Arg_2 && Arg_0<=4+Arg_2 && Arg_1<=4 && Arg_1<=Arg_0 && Arg_0+Arg_1<=8 && Arg_0<=4 && 9<Arg_2
7:eval_wcet2_bb3_in(Arg_0,Arg_1,Arg_2) -> eval_wcet2_bb2_in(Arg_0,Arg_1,Arg_2+1):|:Arg_2<=9 && Arg_1+Arg_2<=13 && Arg_2<=6+Arg_0 && Arg_0+Arg_2<=13 && 0<=Arg_2 && Arg_1<=4+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=4+Arg_2 && Arg_1<=4 && Arg_1<=Arg_0 && Arg_0+Arg_1<=8 && Arg_0<=4 && 3<=Arg_0
8:eval_wcet2_bb4_in(Arg_0,Arg_1,Arg_2) -> eval_wcet2_bb1_in(Arg_0+1,Arg_1,Arg_2):|:0<=Arg_2 && Arg_1<=2+Arg_2 && Arg_0<=2+Arg_2 && Arg_1<=4 && Arg_1<=Arg_0 && Arg_0+Arg_1<=8 && Arg_0<=4
9:eval_wcet2_bb5_in(Arg_0,Arg_1,Arg_2) -> eval_wcet2_stop(Arg_0,Arg_1,Arg_2):|:Arg_1<=Arg_0 && 5<=Arg_0
0:eval_wcet2_start(Arg_0,Arg_1,Arg_2) -> eval_wcet2_bb0_in(Arg_0,Arg_1,Arg_2)
MPRF for transition 2:eval_wcet2_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_wcet2_bb2_in(Arg_0,Arg_1,0):|:Arg_1<=Arg_0 && Arg_0<5 of depth 1:
new bound:
Arg_1+5 {O(n)}
MPRF:
eval_wcet2_bb3_in [4-Arg_0 ]
eval_wcet2_bb2_in [4-Arg_0 ]
eval_wcet2_bb4_in [4-Arg_0 ]
eval_wcet2_bb1_in [5-Arg_0 ]
MPRF for transition 5:eval_wcet2_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_wcet2_bb4_in(Arg_0,Arg_1,Arg_2):|:0<=Arg_2 && Arg_1<=4+Arg_2 && Arg_0<=4+Arg_2 && Arg_1<=4 && Arg_1<=Arg_0 && Arg_0+Arg_1<=8 && Arg_0<=4 && Arg_0<=2 of depth 1:
new bound:
Arg_1+5 {O(n)}
MPRF:
eval_wcet2_bb3_in [5-Arg_0 ]
eval_wcet2_bb2_in [5-Arg_0 ]
eval_wcet2_bb4_in [4-Arg_0 ]
eval_wcet2_bb1_in [5-Arg_0 ]
MPRF for transition 6:eval_wcet2_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_wcet2_bb4_in(Arg_0,Arg_1,Arg_2):|:0<=Arg_2 && Arg_1<=4+Arg_2 && Arg_0<=4+Arg_2 && Arg_1<=4 && Arg_1<=Arg_0 && Arg_0+Arg_1<=8 && Arg_0<=4 && 9<Arg_2 of depth 1:
new bound:
Arg_1+5 {O(n)}
MPRF:
eval_wcet2_bb3_in [5-Arg_0 ]
eval_wcet2_bb2_in [5-Arg_0 ]
eval_wcet2_bb4_in [4-Arg_0 ]
eval_wcet2_bb1_in [5-Arg_0 ]
MPRF for transition 8:eval_wcet2_bb4_in(Arg_0,Arg_1,Arg_2) -> eval_wcet2_bb1_in(Arg_0+1,Arg_1,Arg_2):|:0<=Arg_2 && Arg_1<=2+Arg_2 && Arg_0<=2+Arg_2 && Arg_1<=4 && Arg_1<=Arg_0 && Arg_0+Arg_1<=8 && Arg_0<=4 of depth 1:
new bound:
Arg_1+5 {O(n)}
MPRF:
eval_wcet2_bb3_in [5-Arg_0 ]
eval_wcet2_bb2_in [5-Arg_0 ]
eval_wcet2_bb4_in [5-Arg_0 ]
eval_wcet2_bb1_in [5-Arg_0 ]
MPRF for transition 4:eval_wcet2_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_wcet2_bb3_in(Arg_0,Arg_1,Arg_2):|:0<=Arg_2 && Arg_1<=4+Arg_2 && Arg_0<=4+Arg_2 && Arg_1<=4 && Arg_1<=Arg_0 && Arg_0+Arg_1<=8 && Arg_0<=4 && 2<Arg_0 && Arg_2<=9 of depth 1:
new bound:
10*Arg_1+60 {O(n)}
MPRF:
eval_wcet2_bb1_in [10 ]
eval_wcet2_bb4_in [-Arg_2 ]
eval_wcet2_bb3_in [9-Arg_2 ]
eval_wcet2_bb2_in [10-Arg_2 ]
MPRF for transition 7:eval_wcet2_bb3_in(Arg_0,Arg_1,Arg_2) -> eval_wcet2_bb2_in(Arg_0,Arg_1,Arg_2+1):|:Arg_2<=9 && Arg_1+Arg_2<=13 && Arg_2<=6+Arg_0 && Arg_0+Arg_2<=13 && 0<=Arg_2 && Arg_1<=4+Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=4+Arg_2 && Arg_1<=4 && Arg_1<=Arg_0 && Arg_0+Arg_1<=8 && Arg_0<=4 && 3<=Arg_0 of depth 1:
new bound:
10*Arg_1+60 {O(n)}
MPRF:
eval_wcet2_bb1_in [10 ]
eval_wcet2_bb4_in [-Arg_2 ]
eval_wcet2_bb3_in [10-Arg_2 ]
eval_wcet2_bb2_in [10-Arg_2 ]
All Bounds
Timebounds
Overall timebound:24*Arg_1+144 {O(n)}
1: eval_wcet2_bb0_in->eval_wcet2_bb1_in: 1 {O(1)}
2: eval_wcet2_bb1_in->eval_wcet2_bb2_in: Arg_1+5 {O(n)}
3: eval_wcet2_bb1_in->eval_wcet2_bb5_in: 1 {O(1)}
4: eval_wcet2_bb2_in->eval_wcet2_bb3_in: 10*Arg_1+60 {O(n)}
5: eval_wcet2_bb2_in->eval_wcet2_bb4_in: Arg_1+5 {O(n)}
6: eval_wcet2_bb2_in->eval_wcet2_bb4_in: Arg_1+5 {O(n)}
7: eval_wcet2_bb3_in->eval_wcet2_bb2_in: 10*Arg_1+60 {O(n)}
8: eval_wcet2_bb4_in->eval_wcet2_bb1_in: Arg_1+5 {O(n)}
9: eval_wcet2_bb5_in->eval_wcet2_stop: 1 {O(1)}
0: eval_wcet2_start->eval_wcet2_bb0_in: 1 {O(1)}
Costbounds
Overall costbound: 24*Arg_1+144 {O(n)}
1: eval_wcet2_bb0_in->eval_wcet2_bb1_in: 1 {O(1)}
2: eval_wcet2_bb1_in->eval_wcet2_bb2_in: Arg_1+5 {O(n)}
3: eval_wcet2_bb1_in->eval_wcet2_bb5_in: 1 {O(1)}
4: eval_wcet2_bb2_in->eval_wcet2_bb3_in: 10*Arg_1+60 {O(n)}
5: eval_wcet2_bb2_in->eval_wcet2_bb4_in: Arg_1+5 {O(n)}
6: eval_wcet2_bb2_in->eval_wcet2_bb4_in: Arg_1+5 {O(n)}
7: eval_wcet2_bb3_in->eval_wcet2_bb2_in: 10*Arg_1+60 {O(n)}
8: eval_wcet2_bb4_in->eval_wcet2_bb1_in: Arg_1+5 {O(n)}
9: eval_wcet2_bb5_in->eval_wcet2_stop: 1 {O(1)}
0: eval_wcet2_start->eval_wcet2_bb0_in: 1 {O(1)}
Sizebounds
1: eval_wcet2_bb0_in->eval_wcet2_bb1_in, Arg_0: Arg_1 {O(n)}
1: eval_wcet2_bb0_in->eval_wcet2_bb1_in, Arg_1: Arg_1 {O(n)}
1: eval_wcet2_bb0_in->eval_wcet2_bb1_in, Arg_2: Arg_2 {O(n)}
2: eval_wcet2_bb1_in->eval_wcet2_bb2_in, Arg_0: 2*Arg_1+9 {O(n)}
2: eval_wcet2_bb1_in->eval_wcet2_bb2_in, Arg_1: Arg_1 {O(n)}
2: eval_wcet2_bb1_in->eval_wcet2_bb2_in, Arg_2: 0 {O(1)}
3: eval_wcet2_bb1_in->eval_wcet2_bb5_in, Arg_0: 3*Arg_1+9 {O(n)}
3: eval_wcet2_bb1_in->eval_wcet2_bb5_in, Arg_1: 2*Arg_1 {O(n)}
3: eval_wcet2_bb1_in->eval_wcet2_bb5_in, Arg_2: Arg_2+10 {O(n)}
4: eval_wcet2_bb2_in->eval_wcet2_bb3_in, Arg_0: 4 {O(1)}
4: eval_wcet2_bb2_in->eval_wcet2_bb3_in, Arg_1: Arg_1 {O(n)}
4: eval_wcet2_bb2_in->eval_wcet2_bb3_in, Arg_2: 9 {O(1)}
5: eval_wcet2_bb2_in->eval_wcet2_bb4_in, Arg_0: 2*Arg_1+9 {O(n)}
5: eval_wcet2_bb2_in->eval_wcet2_bb4_in, Arg_1: Arg_1 {O(n)}
5: eval_wcet2_bb2_in->eval_wcet2_bb4_in, Arg_2: 0 {O(1)}
6: eval_wcet2_bb2_in->eval_wcet2_bb4_in, Arg_0: 4 {O(1)}
6: eval_wcet2_bb2_in->eval_wcet2_bb4_in, Arg_1: Arg_1 {O(n)}
6: eval_wcet2_bb2_in->eval_wcet2_bb4_in, Arg_2: 10 {O(1)}
7: eval_wcet2_bb3_in->eval_wcet2_bb2_in, Arg_0: 4 {O(1)}
7: eval_wcet2_bb3_in->eval_wcet2_bb2_in, Arg_1: Arg_1 {O(n)}
7: eval_wcet2_bb3_in->eval_wcet2_bb2_in, Arg_2: 10 {O(1)}
8: eval_wcet2_bb4_in->eval_wcet2_bb1_in, Arg_0: 2*Arg_1+9 {O(n)}
8: eval_wcet2_bb4_in->eval_wcet2_bb1_in, Arg_1: Arg_1 {O(n)}
8: eval_wcet2_bb4_in->eval_wcet2_bb1_in, Arg_2: 10 {O(1)}
9: eval_wcet2_bb5_in->eval_wcet2_stop, Arg_0: 3*Arg_1+9 {O(n)}
9: eval_wcet2_bb5_in->eval_wcet2_stop, Arg_1: 2*Arg_1 {O(n)}
9: eval_wcet2_bb5_in->eval_wcet2_stop, Arg_2: Arg_2+10 {O(n)}
0: eval_wcet2_start->eval_wcet2_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_wcet2_start->eval_wcet2_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_wcet2_start->eval_wcet2_bb0_in, Arg_2: Arg_2 {O(n)}