Initial Problem
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_bb4_in, eval_foo_bb5_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(0,100,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):|:Arg_0<Arg_1
3:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=Arg_0
4:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:51<Arg_1
5:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=51
6:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0+1,Arg_1-1,Arg_2,Arg_3)
7:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0-1,Arg_1+1,Arg_2,Arg_3)
8:eval_foo_bb5_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)
Preprocessing
Eliminate variables {Arg_2,Arg_3} that do not contribute to the problem
Found invariant Arg_1<=50 && Arg_1<=Arg_0 && Arg_0+Arg_1<=100 && 100<=Arg_0+Arg_1 && 50<=Arg_0 for location eval_foo_bb5_in
Found invariant Arg_1<=50 && Arg_1<=Arg_0 && Arg_0+Arg_1<=100 && 100<=Arg_0+Arg_1 && 50<=Arg_0 for location eval_foo_stop
Found invariant Arg_1<=100 && Arg_1<=100+Arg_0 && Arg_0+Arg_1<=100 && 52<=Arg_1 && 100<=Arg_0+Arg_1 && 4+Arg_0<=Arg_1 && Arg_0<=48 && 0<=Arg_0 for location eval_foo_bb3_in
Found invariant Arg_1<=100 && Arg_1<=100+Arg_0 && Arg_0+Arg_1<=100 && 50<=Arg_1 && 100<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=49 && 0<=Arg_0 for location eval_foo_bb2_in
Found invariant Arg_1<=100 && Arg_1<=100+Arg_0 && Arg_0+Arg_1<=100 && 100<=Arg_0+Arg_1 && 0<=Arg_0 for location eval_foo_bb1_in
Found invariant Arg_1<=51 && Arg_1<=2+Arg_0 && Arg_0+Arg_1<=100 && 51<=Arg_1 && 100<=Arg_0+Arg_1 && 2+Arg_0<=Arg_1 && Arg_0<=49 && 49<=Arg_0 for location eval_foo_bb4_in
Cut unsatisfiable transition 20: eval_foo_bb1_in->eval_foo_bb5_in
Cut unreachable locations [eval_foo_bb5_in; eval_foo_stop] from the program graph
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_start
Transitions:
18:eval_foo_bb0_in(Arg_0,Arg_1) -> eval_foo_bb1_in(0,100)
19:eval_foo_bb1_in(Arg_0,Arg_1) -> eval_foo_bb2_in(Arg_0,Arg_1):|:Arg_1<=100 && Arg_1<=100+Arg_0 && Arg_0+Arg_1<=100 && 100<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_0<Arg_1
21:eval_foo_bb2_in(Arg_0,Arg_1) -> eval_foo_bb3_in(Arg_0,Arg_1):|:Arg_1<=100 && Arg_1<=100+Arg_0 && Arg_0+Arg_1<=100 && 50<=Arg_1 && 100<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=49 && 0<=Arg_0 && 51<Arg_1
22:eval_foo_bb2_in(Arg_0,Arg_1) -> eval_foo_bb4_in(Arg_0,Arg_1):|:Arg_1<=100 && Arg_1<=100+Arg_0 && Arg_0+Arg_1<=100 && 50<=Arg_1 && 100<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=49 && 0<=Arg_0 && Arg_1<=51
23:eval_foo_bb3_in(Arg_0,Arg_1) -> eval_foo_bb1_in(Arg_0+1,Arg_1-1):|:Arg_1<=100 && Arg_1<=100+Arg_0 && Arg_0+Arg_1<=100 && 52<=Arg_1 && 100<=Arg_0+Arg_1 && 4+Arg_0<=Arg_1 && Arg_0<=48 && 0<=Arg_0
24:eval_foo_bb4_in(Arg_0,Arg_1) -> eval_foo_bb1_in(Arg_0-1,Arg_1+1):|:Arg_1<=51 && Arg_1<=2+Arg_0 && Arg_0+Arg_1<=100 && 51<=Arg_1 && 100<=Arg_0+Arg_1 && 2+Arg_0<=Arg_1 && Arg_0<=49 && 49<=Arg_0
26:eval_foo_start(Arg_0,Arg_1) -> eval_foo_bb0_in(Arg_0,Arg_1)
Analysing control-flow refined program
Found invariant Arg_1<=52 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=100 && 52<=Arg_1 && 100<=Arg_0+Arg_1 && 4+Arg_0<=Arg_1 && Arg_0<=48 && 48<=Arg_0 for location n_eval_foo_bb2_in___4
Found invariant Arg_1<=98 && Arg_1<=96+Arg_0 && Arg_0+Arg_1<=100 && 51<=Arg_1 && 100<=Arg_0+Arg_1 && 2+Arg_0<=Arg_1 && Arg_0<=49 && 2<=Arg_0 for location n_eval_foo_bb1_in___9
Found invariant Arg_1<=98 && Arg_1<=96+Arg_0 && Arg_0+Arg_1<=100 && 51<=Arg_1 && 100<=Arg_0+Arg_1 && 2+Arg_0<=Arg_1 && Arg_0<=49 && 2<=Arg_0 for location n_eval_foo_bb2_in___8
Found invariant Arg_1<=100 && Arg_1<=100+Arg_0 && Arg_0+Arg_1<=100 && 100<=Arg_1 && 100<=Arg_0+Arg_1 && 100+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_eval_foo_bb2_in___14
Found invariant Arg_1<=99 && Arg_1<=98+Arg_0 && Arg_0+Arg_1<=100 && 99<=Arg_1 && 100<=Arg_0+Arg_1 && 98+Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 for location n_eval_foo_bb2_in___11
Found invariant Arg_1<=52 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=100 && 52<=Arg_1 && 100<=Arg_0+Arg_1 && 4+Arg_0<=Arg_1 && Arg_0<=48 && 48<=Arg_0 for location n_eval_foo_bb1_in___5
Found invariant Arg_1<=99 && Arg_1<=98+Arg_0 && Arg_0+Arg_1<=100 && 99<=Arg_1 && 100<=Arg_0+Arg_1 && 98+Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 for location n_eval_foo_bb3_in___10
Found invariant Arg_1<=51 && Arg_1<=2+Arg_0 && Arg_0+Arg_1<=100 && 51<=Arg_1 && 100<=Arg_0+Arg_1 && 2+Arg_0<=Arg_1 && Arg_0<=49 && 49<=Arg_0 for location n_eval_foo_bb1_in___2
Found invariant Arg_1<=51 && Arg_1<=2+Arg_0 && Arg_0+Arg_1<=100 && 51<=Arg_1 && 100<=Arg_0+Arg_1 && 2+Arg_0<=Arg_1 && Arg_0<=49 && 49<=Arg_0 for location n_eval_foo_bb4_in___6
Found invariant Arg_1<=52 && Arg_1<=4+Arg_0 && Arg_0+Arg_1<=100 && 52<=Arg_1 && 100<=Arg_0+Arg_1 && 4+Arg_0<=Arg_1 && Arg_0<=48 && 48<=Arg_0 for location n_eval_foo_bb3_in___3
Found invariant Arg_1<=51 && Arg_1<=2+Arg_0 && Arg_0+Arg_1<=100 && 51<=Arg_1 && 100<=Arg_0+Arg_1 && 2+Arg_0<=Arg_1 && Arg_0<=49 && 49<=Arg_0 for location n_eval_foo_bb2_in___1
Found invariant Arg_1<=98 && Arg_1<=96+Arg_0 && Arg_0+Arg_1<=100 && 52<=Arg_1 && 100<=Arg_0+Arg_1 && 4+Arg_0<=Arg_1 && Arg_0<=48 && 2<=Arg_0 for location n_eval_foo_bb3_in___7
Found invariant Arg_1<=100 && Arg_1<=100+Arg_0 && Arg_0+Arg_1<=100 && 100<=Arg_1 && 100<=Arg_0+Arg_1 && 100+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location eval_foo_bb1_in
Found invariant Arg_1<=99 && Arg_1<=98+Arg_0 && Arg_0+Arg_1<=100 && 99<=Arg_1 && 100<=Arg_0+Arg_1 && 98+Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 for location n_eval_foo_bb1_in___12
Found invariant Arg_1<=100 && Arg_1<=100+Arg_0 && Arg_0+Arg_1<=100 && 100<=Arg_1 && 100<=Arg_0+Arg_1 && 100+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_eval_foo_bb3_in___13
MPRF for transition 71:n_eval_foo_bb1_in___9(Arg_0,Arg_1) -> n_eval_foo_bb2_in___8(Arg_0,100-Arg_0):|:Arg_1<=98 && Arg_1<=96+Arg_0 && Arg_0+Arg_1<=100 && 51<=Arg_1 && 100<=Arg_0+Arg_1 && 2+Arg_0<=Arg_1 && Arg_0<=49 && 2<=Arg_0 && Arg_1<=100 && Arg_0+Arg_1<=100 && 100<=Arg_0+Arg_1 && 100<2*Arg_1 && Arg_0+Arg_1<=100 && 100<=Arg_0+Arg_1 && Arg_1<=100 && 101<=2*Arg_1 && Arg_0+Arg_1<=100 && 100<=Arg_0+Arg_1 && Arg_1<=99 && 51<=Arg_1 && 0<=Arg_0 && 2*Arg_0<100 && Arg_0+Arg_1<=100 && 100<=Arg_0+Arg_1 of depth 1:
new bound:
148 {O(1)}
MPRF:
n_eval_foo_bb2_in___8 [49-Arg_0 ]
n_eval_foo_bb3_in___7 [49-Arg_0 ]
n_eval_foo_bb1_in___9 [Arg_1-50 ]
MPRF for transition 76:n_eval_foo_bb2_in___8(Arg_0,Arg_1) -> n_eval_foo_bb3_in___7(Arg_0,100-Arg_0):|:Arg_1<=98 && Arg_1<=96+Arg_0 && Arg_0+Arg_1<=100 && 51<=Arg_1 && 100<=Arg_0+Arg_1 && 2+Arg_0<=Arg_1 && Arg_0<=49 && 2<=Arg_0 && 51<=Arg_1 && Arg_1<=99 && Arg_0+Arg_1<=100 && 100<=Arg_0+Arg_1 && Arg_0<49 && 0<=Arg_0 && Arg_0+Arg_1<=100 && 100<=Arg_0+Arg_1 of depth 1:
new bound:
51 {O(1)}
MPRF:
n_eval_foo_bb2_in___8 [49-Arg_0 ]
n_eval_foo_bb3_in___7 [48-Arg_0 ]
n_eval_foo_bb1_in___9 [49-Arg_0 ]
MPRF for transition 81:n_eval_foo_bb3_in___7(Arg_0,Arg_1) -> n_eval_foo_bb1_in___9(Arg_0+1,99-Arg_0):|:Arg_1<=98 && Arg_1<=96+Arg_0 && Arg_0+Arg_1<=100 && 52<=Arg_1 && 100<=Arg_0+Arg_1 && 4+Arg_0<=Arg_1 && Arg_0<=48 && 2<=Arg_0 && 51<Arg_1 && Arg_1<=99 && Arg_0+Arg_1<=100 && 100<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_0<=48 && Arg_0+Arg_1<=100 && 100<=Arg_0+Arg_1 of depth 1:
new bound:
51 {O(1)}
MPRF:
n_eval_foo_bb2_in___8 [49-Arg_0 ]
n_eval_foo_bb3_in___7 [49-Arg_0 ]
n_eval_foo_bb1_in___9 [49-Arg_0 ]
CFR did not improve the program. Rolling back
All Bounds
Timebounds
Overall timebound:inf {Infinity}
18: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
19: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
21: eval_foo_bb2_in->eval_foo_bb3_in: inf {Infinity}
22: eval_foo_bb2_in->eval_foo_bb4_in: inf {Infinity}
23: eval_foo_bb3_in->eval_foo_bb1_in: inf {Infinity}
24: eval_foo_bb4_in->eval_foo_bb1_in: inf {Infinity}
26: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}
Costbounds
Overall costbound: inf {Infinity}
18: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
19: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
21: eval_foo_bb2_in->eval_foo_bb3_in: inf {Infinity}
22: eval_foo_bb2_in->eval_foo_bb4_in: inf {Infinity}
23: eval_foo_bb3_in->eval_foo_bb1_in: inf {Infinity}
24: eval_foo_bb4_in->eval_foo_bb1_in: inf {Infinity}
26: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}
Sizebounds
18: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: 0 {O(1)}
18: eval_foo_bb0_in->eval_foo_bb1_in, Arg_1: 100 {O(1)}
19: eval_foo_bb1_in->eval_foo_bb2_in, Arg_0: 49 {O(1)}
19: eval_foo_bb1_in->eval_foo_bb2_in, Arg_1: 100 {O(1)}
21: eval_foo_bb2_in->eval_foo_bb3_in, Arg_0: 48 {O(1)}
21: eval_foo_bb2_in->eval_foo_bb3_in, Arg_1: 100 {O(1)}
22: eval_foo_bb2_in->eval_foo_bb4_in, Arg_0: 49 {O(1)}
22: eval_foo_bb2_in->eval_foo_bb4_in, Arg_1: 51 {O(1)}
23: eval_foo_bb3_in->eval_foo_bb1_in, Arg_0: 49 {O(1)}
23: eval_foo_bb3_in->eval_foo_bb1_in, Arg_1: 99 {O(1)}
24: eval_foo_bb4_in->eval_foo_bb1_in, Arg_0: 48 {O(1)}
24: eval_foo_bb4_in->eval_foo_bb1_in, Arg_1: 52 {O(1)}
26: eval_foo_start->eval_foo_bb0_in, Arg_0: Arg_0 {O(n)}
26: eval_foo_start->eval_foo_bb0_in, Arg_1: Arg_1 {O(n)}