Start: eval_ndecr_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: eval_ndecr_0, eval_ndecr_1, eval_ndecr_2, eval_ndecr_3, eval_ndecr_4, eval_ndecr_bb0_in, eval_ndecr_bb1_in, eval_ndecr_bb2_in, eval_ndecr_bb3_in, eval_ndecr_start, eval_ndecr_stop
Transitions:
2:eval_ndecr_0(Arg_0,Arg_1,Arg_2) -> eval_ndecr_1(Arg_0,Arg_1,Arg_2)
3:eval_ndecr_1(Arg_0,Arg_1,Arg_2) -> eval_ndecr_2(Arg_2-1,Arg_1,Arg_2)
4:eval_ndecr_2(Arg_0,Arg_1,Arg_2) -> eval_ndecr_3(Arg_0,Arg_1,Arg_2)
5:eval_ndecr_3(Arg_0,Arg_1,Arg_2) -> eval_ndecr_4(Arg_0,Arg_1,Arg_2)
6:eval_ndecr_4(Arg_0,Arg_1,Arg_2) -> eval_ndecr_bb1_in(Arg_0,Arg_0,Arg_2)
1:eval_ndecr_bb0_in(Arg_0,Arg_1,Arg_2) -> eval_ndecr_0(Arg_0,Arg_1,Arg_2)
7:eval_ndecr_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_ndecr_bb2_in(Arg_0,Arg_1,Arg_2):|:1<Arg_1
8:eval_ndecr_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_ndecr_bb3_in(Arg_0,Arg_1,Arg_2):|:Arg_1<=1
9:eval_ndecr_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_ndecr_bb1_in(Arg_0,Arg_1-1,Arg_2)
10:eval_ndecr_bb3_in(Arg_0,Arg_1,Arg_2) -> eval_ndecr_stop(Arg_0,Arg_1,Arg_2)
0:eval_ndecr_start(Arg_0,Arg_1,Arg_2) -> eval_ndecr_bb0_in(Arg_0,Arg_1,Arg_2)
Found invariant Arg_2<=1+Arg_0 && 1+Arg_0<=Arg_2 for location eval_ndecr_4
Found invariant Arg_2<=1+Arg_0 && 1+Arg_0<=Arg_2 for location eval_ndecr_2
Found invariant Arg_2<=1+Arg_0 && 1+Arg_1<=Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1 && Arg_1<=Arg_0 for location eval_ndecr_stop
Found invariant Arg_2<=1+Arg_0 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 5<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 for location eval_ndecr_bb2_in
Found invariant Arg_2<=1+Arg_0 && 1+Arg_1<=Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=Arg_0 for location eval_ndecr_bb1_in
Found invariant Arg_2<=1+Arg_0 && 1+Arg_0<=Arg_2 for location eval_ndecr_3
Found invariant Arg_2<=1+Arg_0 && 1+Arg_1<=Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1 && Arg_1<=Arg_0 for location eval_ndecr_bb3_in
Start: eval_ndecr_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: eval_ndecr_0, eval_ndecr_1, eval_ndecr_2, eval_ndecr_3, eval_ndecr_4, eval_ndecr_bb0_in, eval_ndecr_bb1_in, eval_ndecr_bb2_in, eval_ndecr_bb3_in, eval_ndecr_start, eval_ndecr_stop
Transitions:
2:eval_ndecr_0(Arg_0,Arg_1,Arg_2) -> eval_ndecr_1(Arg_0,Arg_1,Arg_2)
3:eval_ndecr_1(Arg_0,Arg_1,Arg_2) -> eval_ndecr_2(Arg_2-1,Arg_1,Arg_2)
4:eval_ndecr_2(Arg_0,Arg_1,Arg_2) -> eval_ndecr_3(Arg_0,Arg_1,Arg_2):|:Arg_2<=1+Arg_0 && 1+Arg_0<=Arg_2
5:eval_ndecr_3(Arg_0,Arg_1,Arg_2) -> eval_ndecr_4(Arg_0,Arg_1,Arg_2):|:Arg_2<=1+Arg_0 && 1+Arg_0<=Arg_2
6:eval_ndecr_4(Arg_0,Arg_1,Arg_2) -> eval_ndecr_bb1_in(Arg_0,Arg_0,Arg_2):|:Arg_2<=1+Arg_0 && 1+Arg_0<=Arg_2
1:eval_ndecr_bb0_in(Arg_0,Arg_1,Arg_2) -> eval_ndecr_0(Arg_0,Arg_1,Arg_2)
7:eval_ndecr_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_ndecr_bb2_in(Arg_0,Arg_1,Arg_2):|:Arg_2<=1+Arg_0 && 1+Arg_1<=Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=Arg_0 && 1<Arg_1
8:eval_ndecr_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_ndecr_bb3_in(Arg_0,Arg_1,Arg_2):|:Arg_2<=1+Arg_0 && 1+Arg_1<=Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=Arg_0 && Arg_1<=1
9:eval_ndecr_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_ndecr_bb1_in(Arg_0,Arg_1-1,Arg_2):|:Arg_2<=1+Arg_0 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 5<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0
10:eval_ndecr_bb3_in(Arg_0,Arg_1,Arg_2) -> eval_ndecr_stop(Arg_0,Arg_1,Arg_2):|:Arg_2<=1+Arg_0 && 1+Arg_1<=Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1 && Arg_1<=Arg_0
0:eval_ndecr_start(Arg_0,Arg_1,Arg_2) -> eval_ndecr_bb0_in(Arg_0,Arg_1,Arg_2)
new bound:
Arg_2+2 {O(n)}
MPRF:
eval_ndecr_bb2_in [Arg_1-2 ]
eval_ndecr_bb1_in [Arg_1-1 ]
new bound:
Arg_2+2 {O(n)}
MPRF:
eval_ndecr_bb2_in [Arg_1-1 ]
eval_ndecr_bb1_in [Arg_1-1 ]
Overall timebound:2*Arg_2+13 {O(n)}
2: eval_ndecr_0->eval_ndecr_1: 1 {O(1)}
3: eval_ndecr_1->eval_ndecr_2: 1 {O(1)}
4: eval_ndecr_2->eval_ndecr_3: 1 {O(1)}
5: eval_ndecr_3->eval_ndecr_4: 1 {O(1)}
6: eval_ndecr_4->eval_ndecr_bb1_in: 1 {O(1)}
1: eval_ndecr_bb0_in->eval_ndecr_0: 1 {O(1)}
7: eval_ndecr_bb1_in->eval_ndecr_bb2_in: Arg_2+2 {O(n)}
8: eval_ndecr_bb1_in->eval_ndecr_bb3_in: 1 {O(1)}
9: eval_ndecr_bb2_in->eval_ndecr_bb1_in: Arg_2+2 {O(n)}
10: eval_ndecr_bb3_in->eval_ndecr_stop: 1 {O(1)}
0: eval_ndecr_start->eval_ndecr_bb0_in: 1 {O(1)}
Overall costbound: 2*Arg_2+13 {O(n)}
2: eval_ndecr_0->eval_ndecr_1: 1 {O(1)}
3: eval_ndecr_1->eval_ndecr_2: 1 {O(1)}
4: eval_ndecr_2->eval_ndecr_3: 1 {O(1)}
5: eval_ndecr_3->eval_ndecr_4: 1 {O(1)}
6: eval_ndecr_4->eval_ndecr_bb1_in: 1 {O(1)}
1: eval_ndecr_bb0_in->eval_ndecr_0: 1 {O(1)}
7: eval_ndecr_bb1_in->eval_ndecr_bb2_in: Arg_2+2 {O(n)}
8: eval_ndecr_bb1_in->eval_ndecr_bb3_in: 1 {O(1)}
9: eval_ndecr_bb2_in->eval_ndecr_bb1_in: Arg_2+2 {O(n)}
10: eval_ndecr_bb3_in->eval_ndecr_stop: 1 {O(1)}
0: eval_ndecr_start->eval_ndecr_bb0_in: 1 {O(1)}
2: eval_ndecr_0->eval_ndecr_1, Arg_0: Arg_0 {O(n)}
2: eval_ndecr_0->eval_ndecr_1, Arg_1: Arg_1 {O(n)}
2: eval_ndecr_0->eval_ndecr_1, Arg_2: Arg_2 {O(n)}
3: eval_ndecr_1->eval_ndecr_2, Arg_0: Arg_2+1 {O(n)}
3: eval_ndecr_1->eval_ndecr_2, Arg_1: Arg_1 {O(n)}
3: eval_ndecr_1->eval_ndecr_2, Arg_2: Arg_2 {O(n)}
4: eval_ndecr_2->eval_ndecr_3, Arg_0: Arg_2+1 {O(n)}
4: eval_ndecr_2->eval_ndecr_3, Arg_1: Arg_1 {O(n)}
4: eval_ndecr_2->eval_ndecr_3, Arg_2: Arg_2 {O(n)}
5: eval_ndecr_3->eval_ndecr_4, Arg_0: Arg_2+1 {O(n)}
5: eval_ndecr_3->eval_ndecr_4, Arg_1: Arg_1 {O(n)}
5: eval_ndecr_3->eval_ndecr_4, Arg_2: Arg_2 {O(n)}
6: eval_ndecr_4->eval_ndecr_bb1_in, Arg_0: Arg_2+1 {O(n)}
6: eval_ndecr_4->eval_ndecr_bb1_in, Arg_1: Arg_2+1 {O(n)}
6: eval_ndecr_4->eval_ndecr_bb1_in, Arg_2: Arg_2 {O(n)}
1: eval_ndecr_bb0_in->eval_ndecr_0, Arg_0: Arg_0 {O(n)}
1: eval_ndecr_bb0_in->eval_ndecr_0, Arg_1: Arg_1 {O(n)}
1: eval_ndecr_bb0_in->eval_ndecr_0, Arg_2: Arg_2 {O(n)}
7: eval_ndecr_bb1_in->eval_ndecr_bb2_in, Arg_0: Arg_2+1 {O(n)}
7: eval_ndecr_bb1_in->eval_ndecr_bb2_in, Arg_1: Arg_2+1 {O(n)}
7: eval_ndecr_bb1_in->eval_ndecr_bb2_in, Arg_2: Arg_2 {O(n)}
8: eval_ndecr_bb1_in->eval_ndecr_bb3_in, Arg_0: 2*Arg_2+2 {O(n)}
8: eval_ndecr_bb1_in->eval_ndecr_bb3_in, Arg_1: 2*Arg_2+2 {O(n)}
8: eval_ndecr_bb1_in->eval_ndecr_bb3_in, Arg_2: 2*Arg_2 {O(n)}
9: eval_ndecr_bb2_in->eval_ndecr_bb1_in, Arg_0: Arg_2+1 {O(n)}
9: eval_ndecr_bb2_in->eval_ndecr_bb1_in, Arg_1: Arg_2+1 {O(n)}
9: eval_ndecr_bb2_in->eval_ndecr_bb1_in, Arg_2: Arg_2 {O(n)}
10: eval_ndecr_bb3_in->eval_ndecr_stop, Arg_0: 2*Arg_2+2 {O(n)}
10: eval_ndecr_bb3_in->eval_ndecr_stop, Arg_1: 2*Arg_2+2 {O(n)}
10: eval_ndecr_bb3_in->eval_ndecr_stop, Arg_2: 2*Arg_2 {O(n)}
0: eval_ndecr_start->eval_ndecr_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_ndecr_start->eval_ndecr_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_ndecr_start->eval_ndecr_bb0_in, Arg_2: Arg_2 {O(n)}