Start: eval_ax_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4
Temp_Vars:
Locations: eval_ax_bb0_in, eval_ax_bb1_in, eval_ax_bb2_in, eval_ax_bb3_in, eval_ax_bb4_in, eval_ax_bb5_in, eval_ax_start, eval_ax_stop
Transitions:
1:eval_ax_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_ax_bb1_in(0,Arg_1,Arg_2,Arg_3,Arg_4)
2:eval_ax_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_ax_bb2_in(Arg_0,0,Arg_2,Arg_3,Arg_4)
3:eval_ax_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_ax_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_1+1<Arg_4
4:eval_ax_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_ax_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_4<=1+Arg_1
5:eval_ax_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_ax_bb2_in(Arg_0,Arg_1+1,Arg_2,Arg_3,Arg_4)
6:eval_ax_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_ax_bb1_in(Arg_0+1,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_4<=1+Arg_1 && Arg_0+2<Arg_4
7:eval_ax_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_ax_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_1+1<Arg_4
8:eval_ax_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_ax_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_4<=2+Arg_0
9:eval_ax_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_ax_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
0:eval_ax_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_ax_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
Cut unsatisfiable transition 7: eval_ax_bb4_in->eval_ax_bb5_in
Eliminate variables {Arg_2,Arg_3} that do not contribute to the problem
Found invariant 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location eval_ax_bb2_in
Found invariant 2<=Arg_4 && 2<=Arg_1+Arg_4 && 2+Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location eval_ax_bb3_in
Found invariant Arg_4<=1+Arg_1 && Arg_4<=2+Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location eval_ax_stop
Found invariant Arg_4<=1+Arg_1 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location eval_ax_bb4_in
Found invariant Arg_4<=1+Arg_1 && Arg_4<=2+Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location eval_ax_bb5_in
Found invariant 0<=Arg_0 for location eval_ax_bb1_in
Start: eval_ax_start
Program_Vars: Arg_0, Arg_1, Arg_4
Temp_Vars:
Locations: eval_ax_bb0_in, eval_ax_bb1_in, eval_ax_bb2_in, eval_ax_bb3_in, eval_ax_bb4_in, eval_ax_bb5_in, eval_ax_start, eval_ax_stop
Transitions:
20:eval_ax_bb0_in(Arg_0,Arg_1,Arg_4) -> eval_ax_bb1_in(0,Arg_1,Arg_4)
21:eval_ax_bb1_in(Arg_0,Arg_1,Arg_4) -> eval_ax_bb2_in(Arg_0,0,Arg_4):|:0<=Arg_0
22:eval_ax_bb2_in(Arg_0,Arg_1,Arg_4) -> eval_ax_bb3_in(Arg_0,Arg_1,Arg_4):|:0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1+1<Arg_4
23:eval_ax_bb2_in(Arg_0,Arg_1,Arg_4) -> eval_ax_bb4_in(Arg_0,Arg_1,Arg_4):|:0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_4<=1+Arg_1
24:eval_ax_bb3_in(Arg_0,Arg_1,Arg_4) -> eval_ax_bb2_in(Arg_0,Arg_1+1,Arg_4):|:2<=Arg_4 && 2<=Arg_1+Arg_4 && 2+Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0
25:eval_ax_bb4_in(Arg_0,Arg_1,Arg_4) -> eval_ax_bb1_in(Arg_0+1,Arg_1,Arg_4):|:Arg_4<=1+Arg_1 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_4<=1+Arg_1 && Arg_0+2<Arg_4
26:eval_ax_bb4_in(Arg_0,Arg_1,Arg_4) -> eval_ax_bb5_in(Arg_0,Arg_1,Arg_4):|:Arg_4<=1+Arg_1 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_4<=2+Arg_0
27:eval_ax_bb5_in(Arg_0,Arg_1,Arg_4) -> eval_ax_stop(Arg_0,Arg_1,Arg_4):|:Arg_4<=1+Arg_1 && Arg_4<=2+Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0
28:eval_ax_start(Arg_0,Arg_1,Arg_4) -> eval_ax_bb0_in(Arg_0,Arg_1,Arg_4)
new bound:
Arg_4+2 {O(n)}
MPRF:
eval_ax_bb3_in [Arg_4-Arg_0-2 ]
eval_ax_bb2_in [Arg_4-Arg_0-2 ]
eval_ax_bb4_in [Arg_4-Arg_0-2 ]
eval_ax_bb1_in [Arg_4-Arg_0-2 ]
knowledge_propagation leads to new time bound Arg_4+3 {O(n)} for transition 21:eval_ax_bb1_in(Arg_0,Arg_1,Arg_4) -> eval_ax_bb2_in(Arg_0,0,Arg_4):|:0<=Arg_0
new bound:
Arg_4*Arg_4+3*Arg_4 {O(n^2)}
MPRF:
eval_ax_bb1_in [Arg_4 ]
eval_ax_bb4_in [Arg_4-Arg_1-1 ]
eval_ax_bb3_in [Arg_4-Arg_1-2 ]
eval_ax_bb2_in [Arg_4-Arg_1-1 ]
new bound:
Arg_4+3 {O(n)}
MPRF:
eval_ax_bb1_in [1 ]
eval_ax_bb4_in [-Arg_0 ]
eval_ax_bb3_in [1 ]
eval_ax_bb2_in [1 ]
new bound:
Arg_4*Arg_4+3*Arg_4 {O(n^2)}
MPRF:
eval_ax_bb1_in [Arg_4 ]
eval_ax_bb4_in [Arg_4-Arg_1-1 ]
eval_ax_bb3_in [Arg_4-Arg_1-1 ]
eval_ax_bb2_in [Arg_4-Arg_1-1 ]
Overall timebound:2*Arg_4*Arg_4+9*Arg_4+12 {O(n^2)}
20: eval_ax_bb0_in->eval_ax_bb1_in: 1 {O(1)}
21: eval_ax_bb1_in->eval_ax_bb2_in: Arg_4+3 {O(n)}
22: eval_ax_bb2_in->eval_ax_bb3_in: Arg_4*Arg_4+3*Arg_4 {O(n^2)}
23: eval_ax_bb2_in->eval_ax_bb4_in: Arg_4+3 {O(n)}
24: eval_ax_bb3_in->eval_ax_bb2_in: Arg_4*Arg_4+3*Arg_4 {O(n^2)}
25: eval_ax_bb4_in->eval_ax_bb1_in: Arg_4+2 {O(n)}
26: eval_ax_bb4_in->eval_ax_bb5_in: 1 {O(1)}
27: eval_ax_bb5_in->eval_ax_stop: 1 {O(1)}
28: eval_ax_start->eval_ax_bb0_in: 1 {O(1)}
Overall costbound: 2*Arg_4*Arg_4+9*Arg_4+12 {O(n^2)}
20: eval_ax_bb0_in->eval_ax_bb1_in: 1 {O(1)}
21: eval_ax_bb1_in->eval_ax_bb2_in: Arg_4+3 {O(n)}
22: eval_ax_bb2_in->eval_ax_bb3_in: Arg_4*Arg_4+3*Arg_4 {O(n^2)}
23: eval_ax_bb2_in->eval_ax_bb4_in: Arg_4+3 {O(n)}
24: eval_ax_bb3_in->eval_ax_bb2_in: Arg_4*Arg_4+3*Arg_4 {O(n^2)}
25: eval_ax_bb4_in->eval_ax_bb1_in: Arg_4+2 {O(n)}
26: eval_ax_bb4_in->eval_ax_bb5_in: 1 {O(1)}
27: eval_ax_bb5_in->eval_ax_stop: 1 {O(1)}
28: eval_ax_start->eval_ax_bb0_in: 1 {O(1)}
20: eval_ax_bb0_in->eval_ax_bb1_in, Arg_0: 0 {O(1)}
20: eval_ax_bb0_in->eval_ax_bb1_in, Arg_1: Arg_1 {O(n)}
20: eval_ax_bb0_in->eval_ax_bb1_in, Arg_4: Arg_4 {O(n)}
21: eval_ax_bb1_in->eval_ax_bb2_in, Arg_0: Arg_4+2 {O(n)}
21: eval_ax_bb1_in->eval_ax_bb2_in, Arg_1: 0 {O(1)}
21: eval_ax_bb1_in->eval_ax_bb2_in, Arg_4: Arg_4 {O(n)}
22: eval_ax_bb2_in->eval_ax_bb3_in, Arg_0: Arg_4+2 {O(n)}
22: eval_ax_bb2_in->eval_ax_bb3_in, Arg_1: Arg_4*Arg_4+3*Arg_4 {O(n^2)}
22: eval_ax_bb2_in->eval_ax_bb3_in, Arg_4: Arg_4 {O(n)}
23: eval_ax_bb2_in->eval_ax_bb4_in, Arg_0: Arg_4+2 {O(n)}
23: eval_ax_bb2_in->eval_ax_bb4_in, Arg_1: Arg_4*Arg_4+3*Arg_4 {O(n^2)}
23: eval_ax_bb2_in->eval_ax_bb4_in, Arg_4: Arg_4 {O(n)}
24: eval_ax_bb3_in->eval_ax_bb2_in, Arg_0: Arg_4+2 {O(n)}
24: eval_ax_bb3_in->eval_ax_bb2_in, Arg_1: Arg_4*Arg_4+3*Arg_4 {O(n^2)}
24: eval_ax_bb3_in->eval_ax_bb2_in, Arg_4: Arg_4 {O(n)}
25: eval_ax_bb4_in->eval_ax_bb1_in, Arg_0: Arg_4+2 {O(n)}
25: eval_ax_bb4_in->eval_ax_bb1_in, Arg_1: Arg_4*Arg_4+3*Arg_4 {O(n^2)}
25: eval_ax_bb4_in->eval_ax_bb1_in, Arg_4: Arg_4 {O(n)}
26: eval_ax_bb4_in->eval_ax_bb5_in, Arg_0: Arg_4+2 {O(n)}
26: eval_ax_bb4_in->eval_ax_bb5_in, Arg_1: Arg_4*Arg_4+3*Arg_4 {O(n^2)}
26: eval_ax_bb4_in->eval_ax_bb5_in, Arg_4: Arg_4 {O(n)}
27: eval_ax_bb5_in->eval_ax_stop, Arg_0: Arg_4+2 {O(n)}
27: eval_ax_bb5_in->eval_ax_stop, Arg_1: Arg_4*Arg_4+3*Arg_4 {O(n^2)}
27: eval_ax_bb5_in->eval_ax_stop, Arg_4: Arg_4 {O(n)}
28: eval_ax_start->eval_ax_bb0_in, Arg_0: Arg_0 {O(n)}
28: eval_ax_start->eval_ax_bb0_in, Arg_1: Arg_1 {O(n)}
28: eval_ax_start->eval_ax_bb0_in, Arg_4: Arg_4 {O(n)}