Initial Problem
Start: eval_foo_start
Program_Vars: Arg_0, Arg_1
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_bb4_in, eval_foo_bb5_in, eval_foo_start, eval_foo_stop
Transitions:
1:eval_foo_bb0_in(Arg_0,Arg_1) -> eval_foo_bb1_in(Arg_1,Arg_1)
2:eval_foo_bb1_in(Arg_0,Arg_1) -> eval_foo_bb2_in(Arg_0,Arg_1):|:Arg_0<0
3:eval_foo_bb1_in(Arg_0,Arg_1) -> eval_foo_bb2_in(Arg_0,Arg_1):|:0<Arg_0
4:eval_foo_bb1_in(Arg_0,Arg_1) -> eval_foo_bb5_in(Arg_0,Arg_1):|:Arg_0<=0 && 0<=Arg_0
6:eval_foo_bb2_in(Arg_0,Arg_1) -> eval_foo_bb1_in(0,Arg_1):|:Arg_0+5<0
7:eval_foo_bb2_in(Arg_0,Arg_1) -> eval_foo_bb1_in(0,Arg_1):|:35<Arg_0
5:eval_foo_bb2_in(Arg_0,Arg_1) -> eval_foo_bb3_in(Arg_0,Arg_1):|:0<=5+Arg_0 && Arg_0<=35
8:eval_foo_bb3_in(Arg_0,Arg_1) -> eval_foo_bb1_in(-5,Arg_1):|:Arg_0<0
9:eval_foo_bb3_in(Arg_0,Arg_1) -> eval_foo_bb4_in(Arg_0,Arg_1):|:0<=Arg_0
10:eval_foo_bb4_in(Arg_0,Arg_1) -> eval_foo_bb1_in(35,Arg_1):|:30<Arg_0
11:eval_foo_bb4_in(Arg_0,Arg_1) -> eval_foo_bb1_in(Arg_0-1,Arg_1):|:Arg_0<=30
12:eval_foo_bb5_in(Arg_0,Arg_1) -> eval_foo_stop(Arg_0,Arg_1)
0:eval_foo_start(Arg_0,Arg_1) -> eval_foo_bb0_in(Arg_0,Arg_1)
Preprocessing
Found invariant Arg_0<=0 && 0<=Arg_0 for location eval_foo_bb5_in
Found invariant Arg_0<=0 && 0<=Arg_0 for location eval_foo_stop
Found invariant Arg_0<=35 && 0<=5+Arg_0 for location eval_foo_bb3_in
Found invariant Arg_0<=35 && 0<=Arg_0 for location eval_foo_bb4_in
Problem after Preprocessing
Start: eval_foo_start
Program_Vars: Arg_0, Arg_1
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_bb4_in, eval_foo_bb5_in, eval_foo_start, eval_foo_stop
Transitions:
1:eval_foo_bb0_in(Arg_0,Arg_1) -> eval_foo_bb1_in(Arg_1,Arg_1)
2:eval_foo_bb1_in(Arg_0,Arg_1) -> eval_foo_bb2_in(Arg_0,Arg_1):|:Arg_0<0
3:eval_foo_bb1_in(Arg_0,Arg_1) -> eval_foo_bb2_in(Arg_0,Arg_1):|:0<Arg_0
4:eval_foo_bb1_in(Arg_0,Arg_1) -> eval_foo_bb5_in(Arg_0,Arg_1):|:Arg_0<=0 && 0<=Arg_0
6:eval_foo_bb2_in(Arg_0,Arg_1) -> eval_foo_bb1_in(0,Arg_1):|:Arg_0+5<0
7:eval_foo_bb2_in(Arg_0,Arg_1) -> eval_foo_bb1_in(0,Arg_1):|:35<Arg_0
5:eval_foo_bb2_in(Arg_0,Arg_1) -> eval_foo_bb3_in(Arg_0,Arg_1):|:0<=5+Arg_0 && Arg_0<=35
8:eval_foo_bb3_in(Arg_0,Arg_1) -> eval_foo_bb1_in(-5,Arg_1):|:Arg_0<=35 && 0<=5+Arg_0 && Arg_0<0
9:eval_foo_bb3_in(Arg_0,Arg_1) -> eval_foo_bb4_in(Arg_0,Arg_1):|:Arg_0<=35 && 0<=5+Arg_0 && 0<=Arg_0
10:eval_foo_bb4_in(Arg_0,Arg_1) -> eval_foo_bb1_in(35,Arg_1):|:Arg_0<=35 && 0<=Arg_0 && 30<Arg_0
11:eval_foo_bb4_in(Arg_0,Arg_1) -> eval_foo_bb1_in(Arg_0-1,Arg_1):|:Arg_0<=35 && 0<=Arg_0 && Arg_0<=30
12:eval_foo_bb5_in(Arg_0,Arg_1) -> eval_foo_stop(Arg_0,Arg_1):|:Arg_0<=0 && 0<=Arg_0
0:eval_foo_start(Arg_0,Arg_1) -> eval_foo_bb0_in(Arg_0,Arg_1)
Analysing control-flow refined program
Cut unsatisfiable transition 178: n_eval_foo_bb1_in___10->eval_foo_bb5_in
Cut unsatisfiable transition 179: n_eval_foo_bb1_in___15->eval_foo_bb5_in
Cut unsatisfiable transition 133: n_eval_foo_bb1_in___9->n_eval_foo_bb2_in___5
Cut unreachable locations [n_eval_foo_bb2_in___5; n_eval_foo_bb3_in___3] from the program graph
Found invariant Arg_0<=0 && 0<=Arg_0 for location eval_foo_bb5_in
Found invariant 1+Arg_1<=0 && Arg_1<=Arg_0 && 2+Arg_0+Arg_1<=0 && Arg_0<=Arg_1 && 1+Arg_0<=0 for location n_eval_foo_bb2_in___19
Found invariant Arg_1<=30 && Arg_1<=29+Arg_0 && Arg_0+Arg_1<=59 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=29 && 1<=Arg_0 for location n_eval_foo_bb2_in___4
Found invariant Arg_1<=35 && Arg_1<=Arg_0 && Arg_0+Arg_1<=70 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=35 && 1<=Arg_0 for location n_eval_foo_bb4_in___11
Found invariant 1+Arg_1<=0 && Arg_1<=4+Arg_0 && 6+Arg_0+Arg_1<=0 && 0<=5+Arg_1 && 0<=10+Arg_0+Arg_1 && Arg_0<=Arg_1 && 5+Arg_0<=0 && 0<=5+Arg_0 for location n_eval_foo_bb1_in___15
Found invariant Arg_1<=30 && Arg_1<=30+Arg_0 && Arg_0+Arg_1<=59 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=29 && 0<=Arg_0 for location n_eval_foo_bb1_in___9
Found invariant Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_foo_bb2_in___18
Found invariant Arg_1<=30 && Arg_1<=29+Arg_0 && Arg_0+Arg_1<=59 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=29 && 1<=Arg_0 for location n_eval_foo_bb3_in___2
Found invariant Arg_0<=0 && 0<=Arg_0 for location eval_foo_stop
Found invariant Arg_1<=35 && Arg_1<=Arg_0 && Arg_0+Arg_1<=70 && 31<=Arg_1 && 66<=Arg_0+Arg_1 && Arg_0<=4+Arg_1 && Arg_0<=35 && 35<=Arg_0 for location n_eval_foo_bb2_in___8
Found invariant Arg_1<=35 && Arg_1<=Arg_0 && Arg_0+Arg_1<=70 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=35 && 1<=Arg_0 for location n_eval_foo_bb3_in___12
Found invariant Arg_1<=30 && Arg_1<=29+Arg_0 && Arg_0+Arg_1<=59 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=29 && 1<=Arg_0 for location n_eval_foo_bb4_in___1
Found invariant 1+Arg_1<=0 && Arg_1<=4+Arg_0 && 6+Arg_0+Arg_1<=0 && 0<=5+Arg_1 && 0<=10+Arg_0+Arg_1 && Arg_0<=Arg_1 && 5+Arg_0<=0 && 0<=5+Arg_0 for location n_eval_foo_bb2_in___14
Found invariant Arg_1<=35 && Arg_1<=Arg_0 && Arg_0+Arg_1<=70 && 31<=Arg_1 && 66<=Arg_0+Arg_1 && Arg_0<=4+Arg_1 && Arg_0<=35 && 35<=Arg_0 for location n_eval_foo_bb1_in___10
Found invariant Arg_1<=35 && Arg_1<=Arg_0 && Arg_0+Arg_1<=70 && 31<=Arg_1 && 66<=Arg_0+Arg_1 && Arg_0<=4+Arg_1 && Arg_0<=35 && 35<=Arg_0 for location n_eval_foo_bb4_in___6
Found invariant 1+Arg_1<=0 && Arg_1<=Arg_0 && 2+Arg_0+Arg_1<=0 && 0<=5+Arg_1 && 0<=10+Arg_0+Arg_1 && Arg_0<=Arg_1 && 1+Arg_0<=0 && 0<=5+Arg_0 for location n_eval_foo_bb3_in___16
Found invariant Arg_1<=35 && Arg_1<=Arg_0 && Arg_0+Arg_1<=70 && 31<=Arg_1 && 66<=Arg_0+Arg_1 && Arg_0<=4+Arg_1 && Arg_0<=35 && 35<=Arg_0 for location n_eval_foo_bb3_in___7
Found invariant Arg_1<=Arg_0 && Arg_0<=Arg_1 for location eval_foo_bb1_in
Found invariant Arg_0<=0 && 0<=Arg_0 for location n_eval_foo_bb1_in___17
Found invariant 1+Arg_1<=0 && Arg_1<=4+Arg_0 && 6+Arg_0+Arg_1<=0 && 0<=5+Arg_1 && 0<=10+Arg_0+Arg_1 && Arg_0<=Arg_1 && 5+Arg_0<=0 && 0<=5+Arg_0 for location n_eval_foo_bb3_in___13
MPRF for transition 132:n_eval_foo_bb1_in___9(Arg_0,Arg_1) -> n_eval_foo_bb2_in___4(Arg_0,Arg_1):|:Arg_1<=30 && Arg_1<=30+Arg_0 && Arg_0+Arg_1<=59 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=29 && 0<=Arg_0 && 0<=5+Arg_0 && Arg_0<=35 && Arg_0<=30 && 0<=1+Arg_0 && Arg_0<=29 && 0<Arg_0 of depth 1:
new bound:
30 {O(1)}
MPRF:
n_eval_foo_bb2_in___4 [Arg_0 ]
n_eval_foo_bb3_in___2 [Arg_0 ]
n_eval_foo_bb4_in___1 [Arg_0 ]
n_eval_foo_bb1_in___9 [Arg_0+1 ]
MPRF for transition 139:n_eval_foo_bb2_in___4(Arg_0,Arg_1) -> n_eval_foo_bb3_in___2(Arg_0,Arg_1):|:Arg_1<=30 && Arg_1<=29+Arg_0 && Arg_0+Arg_1<=59 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=29 && 1<=Arg_0 && Arg_0<=29 && 0<Arg_0 && 0<=5+Arg_0 && Arg_0<=35 of depth 1:
new bound:
29 {O(1)}
MPRF:
n_eval_foo_bb2_in___4 [Arg_0 ]
n_eval_foo_bb3_in___2 [Arg_0-1 ]
n_eval_foo_bb4_in___1 [Arg_0-1 ]
n_eval_foo_bb1_in___9 [Arg_0 ]
MPRF for transition 145:n_eval_foo_bb3_in___2(Arg_0,Arg_1) -> n_eval_foo_bb4_in___1(Arg_0,Arg_1):|:Arg_1<=30 && Arg_1<=29+Arg_0 && Arg_0+Arg_1<=59 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=29 && 1<=Arg_0 && Arg_0<=29 && 0<Arg_0 && 0<=Arg_0 && Arg_0<=35 of depth 1:
new bound:
30 {O(1)}
MPRF:
n_eval_foo_bb2_in___4 [Arg_0+1 ]
n_eval_foo_bb3_in___2 [Arg_0+1 ]
n_eval_foo_bb4_in___1 [Arg_0 ]
n_eval_foo_bb1_in___9 [Arg_0+1 ]
MPRF for transition 148:n_eval_foo_bb4_in___1(Arg_0,Arg_1) -> n_eval_foo_bb1_in___9(Arg_0-1,Arg_1):|:Arg_1<=30 && Arg_1<=29+Arg_0 && Arg_0+Arg_1<=59 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=29 && 1<=Arg_0 && Arg_0<=29 && 0<Arg_0 && 0<=Arg_0 && Arg_0<=30 of depth 1:
new bound:
841 {O(1)}
MPRF:
n_eval_foo_bb2_in___4 [29*Arg_0 ]
n_eval_foo_bb3_in___2 [29*Arg_0 ]
n_eval_foo_bb4_in___1 [28*Arg_0+1 ]
n_eval_foo_bb1_in___9 [29*Arg_0 ]
CFR did not improve the program. Rolling back
All Bounds
Timebounds
Overall timebound:inf {Infinity}
1: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
2: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
3: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
4: eval_foo_bb1_in->eval_foo_bb5_in: 1 {O(1)}
5: eval_foo_bb2_in->eval_foo_bb3_in: inf {Infinity}
6: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
7: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
8: eval_foo_bb3_in->eval_foo_bb1_in: inf {Infinity}
9: eval_foo_bb3_in->eval_foo_bb4_in: inf {Infinity}
10: eval_foo_bb4_in->eval_foo_bb1_in: inf {Infinity}
11: eval_foo_bb4_in->eval_foo_bb1_in: inf {Infinity}
12: eval_foo_bb5_in->eval_foo_stop: 1 {O(1)}
0: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}
Costbounds
Overall costbound: inf {Infinity}
1: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
2: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
3: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
4: eval_foo_bb1_in->eval_foo_bb5_in: 1 {O(1)}
5: eval_foo_bb2_in->eval_foo_bb3_in: inf {Infinity}
6: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
7: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
8: eval_foo_bb3_in->eval_foo_bb1_in: inf {Infinity}
9: eval_foo_bb3_in->eval_foo_bb4_in: inf {Infinity}
10: eval_foo_bb4_in->eval_foo_bb1_in: inf {Infinity}
11: eval_foo_bb4_in->eval_foo_bb1_in: inf {Infinity}
12: eval_foo_bb5_in->eval_foo_stop: 1 {O(1)}
0: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}
Sizebounds
1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: Arg_1 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_1: Arg_1 {O(n)}
2: eval_foo_bb1_in->eval_foo_bb2_in, Arg_0: Arg_1+34 {O(n)}
2: eval_foo_bb1_in->eval_foo_bb2_in, Arg_1: 2*Arg_1 {O(n)}
3: eval_foo_bb1_in->eval_foo_bb2_in, Arg_0: Arg_1+64 {O(n)}
3: eval_foo_bb1_in->eval_foo_bb2_in, Arg_1: 2*Arg_1 {O(n)}
4: eval_foo_bb1_in->eval_foo_bb5_in, Arg_0: 0 {O(1)}
4: eval_foo_bb1_in->eval_foo_bb5_in, Arg_1: 7*Arg_1 {O(n)}
5: eval_foo_bb2_in->eval_foo_bb3_in, Arg_0: 35 {O(1)}
5: eval_foo_bb2_in->eval_foo_bb3_in, Arg_1: 2*Arg_1 {O(n)}
6: eval_foo_bb2_in->eval_foo_bb1_in, Arg_0: 0 {O(1)}
6: eval_foo_bb2_in->eval_foo_bb1_in, Arg_1: 2*Arg_1 {O(n)}
7: eval_foo_bb2_in->eval_foo_bb1_in, Arg_0: 0 {O(1)}
7: eval_foo_bb2_in->eval_foo_bb1_in, Arg_1: 2*Arg_1 {O(n)}
8: eval_foo_bb3_in->eval_foo_bb1_in, Arg_0: 5 {O(1)}
8: eval_foo_bb3_in->eval_foo_bb1_in, Arg_1: 2*Arg_1 {O(n)}
9: eval_foo_bb3_in->eval_foo_bb4_in, Arg_0: 35 {O(1)}
9: eval_foo_bb3_in->eval_foo_bb4_in, Arg_1: 2*Arg_1 {O(n)}
10: eval_foo_bb4_in->eval_foo_bb1_in, Arg_0: 35 {O(1)}
10: eval_foo_bb4_in->eval_foo_bb1_in, Arg_1: 2*Arg_1 {O(n)}
11: eval_foo_bb4_in->eval_foo_bb1_in, Arg_0: 29 {O(1)}
11: eval_foo_bb4_in->eval_foo_bb1_in, Arg_1: 2*Arg_1 {O(n)}
12: eval_foo_bb5_in->eval_foo_stop, Arg_0: 0 {O(1)}
12: eval_foo_bb5_in->eval_foo_stop, Arg_1: 7*Arg_1 {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)}