Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_start, eval_foo_stop
Transitions:
1:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_2,Arg_3,Arg_2,Arg_3)
2:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3):|:0<=Arg_0
3:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<0
4:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0+Arg_1,-Arg_1-1,Arg_2,Arg_3):|:0<=Arg_1
5:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0+Arg_1,-Arg_1,Arg_2,Arg_3):|:Arg_1<0
6:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_3)
0:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3)
Found invariant 1+Arg_0<=0 for location eval_foo_stop
Found invariant 1+Arg_0<=0 for location eval_foo_bb3_in
Found invariant 0<=Arg_0 for location eval_foo_bb2_in
Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_start, eval_foo_stop
Transitions:
1:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_2,Arg_3,Arg_2,Arg_3)
2:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3):|:0<=Arg_0
3:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<0
4:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0+Arg_1,-Arg_1-1,Arg_2,Arg_3):|:0<=Arg_0 && 0<=Arg_1
5:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0+Arg_1,-Arg_1,Arg_2,Arg_3):|:0<=Arg_0 && Arg_1<0
6:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_3):|:1+Arg_0<=0
0:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3)
new bound:
2*Arg_2+Arg_3+1 {O(n)}
MPRF:
eval_foo_bb2_in [2*Arg_0+Arg_1+1 ]
eval_foo_bb1_in [2*Arg_0+Arg_1+1 ]
new bound:
10*Arg_2*Arg_3*Arg_3+16*Arg_2*Arg_2*Arg_3+2*Arg_3*Arg_3*Arg_3+8*Arg_2*Arg_2*Arg_2+22*Arg_2*Arg_2+29*Arg_2*Arg_3+9*Arg_3*Arg_3+12*Arg_3+20*Arg_2+7 {O(n^3)}
MPRF:
eval_foo_bb2_in [Arg_0+1 ]
eval_foo_bb1_in [Arg_0+2 ]
new bound:
2*Arg_3*Arg_3+4*Arg_2*Arg_2+6*Arg_2*Arg_3+5*Arg_3+6*Arg_2+3 {O(n^2)}
MPRF:
eval_foo_bb2_in [1-Arg_1 ]
eval_foo_bb1_in [1-Arg_1 ]
knowledge_propagation leads to new time bound 2*Arg_3*Arg_3+4*Arg_2*Arg_2+6*Arg_2*Arg_3+6*Arg_3+8*Arg_2+5 {O(n^2)} for transition 2:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3):|:0<=Arg_0
Overall timebound:12*Arg_2*Arg_3+4*Arg_3*Arg_3+8*Arg_2*Arg_2+12*Arg_3+16*Arg_2+13 {O(n^2)}
1: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
2: eval_foo_bb1_in->eval_foo_bb2_in: 2*Arg_3*Arg_3+4*Arg_2*Arg_2+6*Arg_2*Arg_3+6*Arg_3+8*Arg_2+5 {O(n^2)}
3: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
4: eval_foo_bb2_in->eval_foo_bb1_in: 2*Arg_2+Arg_3+1 {O(n)}
5: eval_foo_bb2_in->eval_foo_bb1_in: 2*Arg_3*Arg_3+4*Arg_2*Arg_2+6*Arg_2*Arg_3+5*Arg_3+6*Arg_2+3 {O(n^2)}
6: eval_foo_bb3_in->eval_foo_stop: 1 {O(1)}
0: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}
Overall costbound: 12*Arg_2*Arg_3+4*Arg_3*Arg_3+8*Arg_2*Arg_2+12*Arg_3+16*Arg_2+13 {O(n^2)}
1: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
2: eval_foo_bb1_in->eval_foo_bb2_in: 2*Arg_3*Arg_3+4*Arg_2*Arg_2+6*Arg_2*Arg_3+6*Arg_3+8*Arg_2+5 {O(n^2)}
3: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
4: eval_foo_bb2_in->eval_foo_bb1_in: 2*Arg_2+Arg_3+1 {O(n)}
5: eval_foo_bb2_in->eval_foo_bb1_in: 2*Arg_3*Arg_3+4*Arg_2*Arg_2+6*Arg_2*Arg_3+5*Arg_3+6*Arg_2+3 {O(n^2)}
6: eval_foo_bb3_in->eval_foo_stop: 1 {O(1)}
0: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}
1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: Arg_2 {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)}
2: eval_foo_bb1_in->eval_foo_bb2_in, Arg_0: 2*Arg_3*Arg_3+4*Arg_2*Arg_2+6*Arg_2*Arg_3+7*Arg_3+9*Arg_2+3 {O(n^2)}
2: eval_foo_bb1_in->eval_foo_bb2_in, Arg_1: 2*Arg_2+2*Arg_3+1 {O(n)}
2: eval_foo_bb1_in->eval_foo_bb2_in, Arg_2: Arg_2 {O(n)}
2: eval_foo_bb1_in->eval_foo_bb2_in, Arg_3: Arg_3 {O(n)}
3: eval_foo_bb1_in->eval_foo_bb3_in, Arg_0: 2*Arg_3*Arg_3+4*Arg_2*Arg_2+6*Arg_2*Arg_3+10*Arg_2+7*Arg_3+3 {O(n^2)}
3: eval_foo_bb1_in->eval_foo_bb3_in, Arg_1: 2*Arg_2+3*Arg_3+1 {O(n)}
3: eval_foo_bb1_in->eval_foo_bb3_in, Arg_2: 2*Arg_2 {O(n)}
3: eval_foo_bb1_in->eval_foo_bb3_in, Arg_3: 2*Arg_3 {O(n)}
4: eval_foo_bb2_in->eval_foo_bb1_in, Arg_0: 2*Arg_3*Arg_3+4*Arg_2*Arg_2+6*Arg_2*Arg_3+7*Arg_3+9*Arg_2+3 {O(n^2)}
4: eval_foo_bb2_in->eval_foo_bb1_in, Arg_1: 2*Arg_2+2*Arg_3+1 {O(n)}
4: eval_foo_bb2_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
4: eval_foo_bb2_in->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
5: eval_foo_bb2_in->eval_foo_bb1_in, Arg_0: 2*Arg_3*Arg_3+4*Arg_2*Arg_2+6*Arg_2*Arg_3+7*Arg_3+9*Arg_2+3 {O(n^2)}
5: eval_foo_bb2_in->eval_foo_bb1_in, Arg_1: 2*Arg_2+2*Arg_3+1 {O(n)}
5: eval_foo_bb2_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
5: eval_foo_bb2_in->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
6: eval_foo_bb3_in->eval_foo_stop, Arg_0: 2*Arg_3*Arg_3+4*Arg_2*Arg_2+6*Arg_2*Arg_3+10*Arg_2+7*Arg_3+3 {O(n^2)}
6: eval_foo_bb3_in->eval_foo_stop, Arg_1: 2*Arg_2+3*Arg_3+1 {O(n)}
6: eval_foo_bb3_in->eval_foo_stop, Arg_2: 2*Arg_2 {O(n)}
6: eval_foo_bb3_in->eval_foo_stop, Arg_3: 2*Arg_3 {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)}