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)

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)}