Start: eval_textbook_ex1_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: eval_textbook_ex1_bb0_in, eval_textbook_ex1_bb1_in, eval_textbook_ex1_bb2_in, eval_textbook_ex1_bb3_in, eval_textbook_ex1_start, eval_textbook_ex1_stop
Transitions:
1:eval_textbook_ex1_bb0_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex1_bb1_in(Arg_0,Arg_1,Arg_0)
2:eval_textbook_ex1_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex1_bb2_in(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_1
3:eval_textbook_ex1_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex1_bb3_in(Arg_0,Arg_1,Arg_2):|:Arg_1<Arg_2
4:eval_textbook_ex1_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex1_bb1_in(Arg_0,Arg_1,Arg_2+1)
5:eval_textbook_ex1_bb3_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex1_stop(Arg_0,Arg_1,Arg_2)
0:eval_textbook_ex1_start(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex1_bb0_in(Arg_0,Arg_1,Arg_2)
Found invariant 1+Arg_1<=Arg_2 && Arg_0<=Arg_2 for location eval_textbook_ex1_bb3_in
Found invariant Arg_0<=Arg_2 for location eval_textbook_ex1_bb1_in
Found invariant Arg_2<=Arg_1 && Arg_0<=Arg_2 && Arg_0<=Arg_1 for location eval_textbook_ex1_bb2_in
Found invariant 1+Arg_1<=Arg_2 && Arg_0<=Arg_2 for location eval_textbook_ex1_stop
Start: eval_textbook_ex1_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: eval_textbook_ex1_bb0_in, eval_textbook_ex1_bb1_in, eval_textbook_ex1_bb2_in, eval_textbook_ex1_bb3_in, eval_textbook_ex1_start, eval_textbook_ex1_stop
Transitions:
1:eval_textbook_ex1_bb0_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex1_bb1_in(Arg_0,Arg_1,Arg_0)
2:eval_textbook_ex1_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex1_bb2_in(Arg_0,Arg_1,Arg_2):|:Arg_0<=Arg_2 && Arg_2<=Arg_1
3:eval_textbook_ex1_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex1_bb3_in(Arg_0,Arg_1,Arg_2):|:Arg_0<=Arg_2 && Arg_1<Arg_2
4:eval_textbook_ex1_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex1_bb1_in(Arg_0,Arg_1,Arg_2+1):|:Arg_2<=Arg_1 && Arg_0<=Arg_2 && Arg_0<=Arg_1
5:eval_textbook_ex1_bb3_in(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex1_stop(Arg_0,Arg_1,Arg_2):|:1+Arg_1<=Arg_2 && Arg_0<=Arg_2
0:eval_textbook_ex1_start(Arg_0,Arg_1,Arg_2) -> eval_textbook_ex1_bb0_in(Arg_0,Arg_1,Arg_2)
new bound:
Arg_0+Arg_1+1 {O(n)}
MPRF:
eval_textbook_ex1_bb2_in [Arg_1-Arg_2 ]
eval_textbook_ex1_bb1_in [Arg_1+1-Arg_2 ]
new bound:
Arg_0+Arg_1+1 {O(n)}
MPRF:
eval_textbook_ex1_bb2_in [Arg_1+1-Arg_2 ]
eval_textbook_ex1_bb1_in [Arg_1+1-Arg_2 ]
Overall timebound:2*Arg_0+2*Arg_1+6 {O(n)}
1: eval_textbook_ex1_bb0_in->eval_textbook_ex1_bb1_in: 1 {O(1)}
2: eval_textbook_ex1_bb1_in->eval_textbook_ex1_bb2_in: Arg_0+Arg_1+1 {O(n)}
3: eval_textbook_ex1_bb1_in->eval_textbook_ex1_bb3_in: 1 {O(1)}
4: eval_textbook_ex1_bb2_in->eval_textbook_ex1_bb1_in: Arg_0+Arg_1+1 {O(n)}
5: eval_textbook_ex1_bb3_in->eval_textbook_ex1_stop: 1 {O(1)}
0: eval_textbook_ex1_start->eval_textbook_ex1_bb0_in: 1 {O(1)}
Overall costbound: 2*Arg_0+2*Arg_1+6 {O(n)}
1: eval_textbook_ex1_bb0_in->eval_textbook_ex1_bb1_in: 1 {O(1)}
2: eval_textbook_ex1_bb1_in->eval_textbook_ex1_bb2_in: Arg_0+Arg_1+1 {O(n)}
3: eval_textbook_ex1_bb1_in->eval_textbook_ex1_bb3_in: 1 {O(1)}
4: eval_textbook_ex1_bb2_in->eval_textbook_ex1_bb1_in: Arg_0+Arg_1+1 {O(n)}
5: eval_textbook_ex1_bb3_in->eval_textbook_ex1_stop: 1 {O(1)}
0: eval_textbook_ex1_start->eval_textbook_ex1_bb0_in: 1 {O(1)}
1: eval_textbook_ex1_bb0_in->eval_textbook_ex1_bb1_in, Arg_0: Arg_0 {O(n)}
1: eval_textbook_ex1_bb0_in->eval_textbook_ex1_bb1_in, Arg_1: Arg_1 {O(n)}
1: eval_textbook_ex1_bb0_in->eval_textbook_ex1_bb1_in, Arg_2: Arg_0 {O(n)}
2: eval_textbook_ex1_bb1_in->eval_textbook_ex1_bb2_in, Arg_0: Arg_0 {O(n)}
2: eval_textbook_ex1_bb1_in->eval_textbook_ex1_bb2_in, Arg_1: Arg_1 {O(n)}
2: eval_textbook_ex1_bb1_in->eval_textbook_ex1_bb2_in, Arg_2: 2*Arg_0+Arg_1+1 {O(n)}
3: eval_textbook_ex1_bb1_in->eval_textbook_ex1_bb3_in, Arg_0: 2*Arg_0 {O(n)}
3: eval_textbook_ex1_bb1_in->eval_textbook_ex1_bb3_in, Arg_1: 2*Arg_1 {O(n)}
3: eval_textbook_ex1_bb1_in->eval_textbook_ex1_bb3_in, Arg_2: 3*Arg_0+Arg_1+1 {O(n)}
4: eval_textbook_ex1_bb2_in->eval_textbook_ex1_bb1_in, Arg_0: Arg_0 {O(n)}
4: eval_textbook_ex1_bb2_in->eval_textbook_ex1_bb1_in, Arg_1: Arg_1 {O(n)}
4: eval_textbook_ex1_bb2_in->eval_textbook_ex1_bb1_in, Arg_2: 2*Arg_0+Arg_1+1 {O(n)}
5: eval_textbook_ex1_bb3_in->eval_textbook_ex1_stop, Arg_0: 2*Arg_0 {O(n)}
5: eval_textbook_ex1_bb3_in->eval_textbook_ex1_stop, Arg_1: 2*Arg_1 {O(n)}
5: eval_textbook_ex1_bb3_in->eval_textbook_ex1_stop, Arg_2: 3*Arg_0+Arg_1+1 {O(n)}
0: eval_textbook_ex1_start->eval_textbook_ex1_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_textbook_ex1_start->eval_textbook_ex1_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_textbook_ex1_start->eval_textbook_ex1_bb0_in, Arg_2: Arg_2 {O(n)}