Initial Problem
Start: n_eval_foo_start
Program_Vars: Arg_0, Arg_1
Temp_Vars:
Locations: n_eval_foo_bb0_in___11, n_eval_foo_bb1_in___10, n_eval_foo_bb1_in___2, n_eval_foo_bb1_in___4, n_eval_foo_bb1_in___6, n_eval_foo_bb1_in___8, n_eval_foo_bb2_in___1, n_eval_foo_bb2_in___3, n_eval_foo_bb2_in___5, n_eval_foo_bb2_in___7, n_eval_foo_bb2_in___9, n_eval_foo_start
Transitions:
0:n_eval_foo_bb0_in___11(Arg_0,Arg_1) -> n_eval_foo_bb1_in___10(0,Arg_1)
1:n_eval_foo_bb1_in___10(Arg_0,Arg_1) -> n_eval_foo_bb2_in___9(Arg_0,Arg_1):|:Arg_0<50 && Arg_0<100 && Arg_0<=0 && 0<=Arg_0 && Arg_0<=99 && Arg_0<=50 && Arg_0<100
2:n_eval_foo_bb1_in___2(Arg_0,Arg_1) -> n_eval_foo_bb2_in___1(Arg_0,Arg_1):|:Arg_0<100 && 50<=Arg_0 && Arg_0<=99 && 49<=Arg_0 && Arg_0<100
3:n_eval_foo_bb1_in___4(Arg_0,Arg_1) -> n_eval_foo_bb2_in___3(Arg_0,Arg_1):|:Arg_0<100 && Arg_0<=99 && 49<=Arg_0 && Arg_0<100
4:n_eval_foo_bb1_in___6(Arg_0,Arg_1) -> n_eval_foo_bb2_in___5(Arg_0,Arg_1):|:Arg_0<100 && Arg_0<=99 && Arg_0<100
5:n_eval_foo_bb1_in___8(Arg_0,Arg_1) -> n_eval_foo_bb2_in___7(Arg_0,Arg_1):|:Arg_0<50 && Arg_0<100 && Arg_0<=99 && Arg_0<=50 && Arg_0<100
6:n_eval_foo_bb2_in___1(Arg_0,Arg_1) -> n_eval_foo_bb1_in___4(Arg_0-1,Arg_1):|:Arg_0<=99 && 50<=Arg_0 && 50<=Arg_0
7:n_eval_foo_bb2_in___3(Arg_0,Arg_1) -> n_eval_foo_bb1_in___2(Arg_0+1,Arg_1):|:Arg_0<=99 && 49<=Arg_0 && Arg_0<50
8:n_eval_foo_bb2_in___3(Arg_0,Arg_1) -> n_eval_foo_bb1_in___4(Arg_0-1,Arg_1):|:Arg_0<=99 && 49<=Arg_0 && 50<=Arg_0
9:n_eval_foo_bb2_in___5(Arg_0,Arg_1) -> n_eval_foo_bb1_in___4(Arg_0-1,Arg_1):|:Arg_0<=99 && 50<=Arg_0
10:n_eval_foo_bb2_in___5(Arg_0,Arg_1) -> n_eval_foo_bb1_in___6(Arg_0+1,Arg_1):|:Arg_0<=99 && Arg_0<50
11:n_eval_foo_bb2_in___7(Arg_0,Arg_1) -> n_eval_foo_bb1_in___6(Arg_0+1,Arg_1):|:Arg_0<50 && Arg_0<50
12:n_eval_foo_bb2_in___9(Arg_0,Arg_1) -> n_eval_foo_bb1_in___8(Arg_0+1,Arg_1):|:Arg_0<=0 && 0<=Arg_0 && Arg_0<50
13:n_eval_foo_start(Arg_0,Arg_1) -> n_eval_foo_bb0_in___11(Arg_0,Arg_1)
Preprocessing
Eliminate variables {Arg_1} that do not contribute to the problem
Found invariant Arg_0<=1 && 1<=Arg_0 for location n_eval_foo_bb2_in___7
Found invariant Arg_0<=98 && 49<=Arg_0 for location n_eval_foo_bb1_in___4
Found invariant Arg_0<=0 && 0<=Arg_0 for location n_eval_foo_bb1_in___10
Found invariant Arg_0<=50 && 50<=Arg_0 for location n_eval_foo_bb1_in___2
Found invariant Arg_0<=99 && 2<=Arg_0 for location n_eval_foo_bb2_in___5
Found invariant Arg_0<=50 && 50<=Arg_0 for location n_eval_foo_bb2_in___1
Found invariant Arg_0<=1 && 1<=Arg_0 for location n_eval_foo_bb1_in___8
Found invariant Arg_0<=98 && 49<=Arg_0 for location n_eval_foo_bb2_in___3
Found invariant Arg_0<=0 && 0<=Arg_0 for location n_eval_foo_bb2_in___9
Found invariant Arg_0<=50 && 2<=Arg_0 for location n_eval_foo_bb1_in___6
Problem after Preprocessing
Start: n_eval_foo_start
Program_Vars: Arg_0
Temp_Vars:
Locations: n_eval_foo_bb0_in___11, n_eval_foo_bb1_in___10, n_eval_foo_bb1_in___2, n_eval_foo_bb1_in___4, n_eval_foo_bb1_in___6, n_eval_foo_bb1_in___8, n_eval_foo_bb2_in___1, n_eval_foo_bb2_in___3, n_eval_foo_bb2_in___5, n_eval_foo_bb2_in___7, n_eval_foo_bb2_in___9, n_eval_foo_start
Transitions:
28:n_eval_foo_bb0_in___11(Arg_0) -> n_eval_foo_bb1_in___10(0)
29:n_eval_foo_bb1_in___10(Arg_0) -> n_eval_foo_bb2_in___9(Arg_0):|:Arg_0<=0 && 0<=Arg_0 && Arg_0<50 && Arg_0<100 && Arg_0<=0 && 0<=Arg_0 && Arg_0<=99 && Arg_0<=50 && Arg_0<100
30:n_eval_foo_bb1_in___2(Arg_0) -> n_eval_foo_bb2_in___1(Arg_0):|:Arg_0<=50 && 50<=Arg_0 && Arg_0<100 && 50<=Arg_0 && Arg_0<=99 && 49<=Arg_0 && Arg_0<100
31:n_eval_foo_bb1_in___4(Arg_0) -> n_eval_foo_bb2_in___3(Arg_0):|:Arg_0<=98 && 49<=Arg_0 && Arg_0<100 && Arg_0<=99 && 49<=Arg_0 && Arg_0<100
32:n_eval_foo_bb1_in___6(Arg_0) -> n_eval_foo_bb2_in___5(Arg_0):|:Arg_0<=50 && 2<=Arg_0 && Arg_0<100 && Arg_0<=99 && Arg_0<100
33:n_eval_foo_bb1_in___8(Arg_0) -> n_eval_foo_bb2_in___7(Arg_0):|:Arg_0<=1 && 1<=Arg_0 && Arg_0<50 && Arg_0<100 && Arg_0<=99 && Arg_0<=50 && Arg_0<100
34:n_eval_foo_bb2_in___1(Arg_0) -> n_eval_foo_bb1_in___4(Arg_0-1):|:Arg_0<=50 && 50<=Arg_0 && Arg_0<=99 && 50<=Arg_0 && 50<=Arg_0
35:n_eval_foo_bb2_in___3(Arg_0) -> n_eval_foo_bb1_in___2(Arg_0+1):|:Arg_0<=98 && 49<=Arg_0 && Arg_0<=99 && 49<=Arg_0 && Arg_0<50
36:n_eval_foo_bb2_in___3(Arg_0) -> n_eval_foo_bb1_in___4(Arg_0-1):|:Arg_0<=98 && 49<=Arg_0 && Arg_0<=99 && 49<=Arg_0 && 50<=Arg_0
37:n_eval_foo_bb2_in___5(Arg_0) -> n_eval_foo_bb1_in___4(Arg_0-1):|:Arg_0<=99 && 2<=Arg_0 && Arg_0<=99 && 50<=Arg_0
38:n_eval_foo_bb2_in___5(Arg_0) -> n_eval_foo_bb1_in___6(Arg_0+1):|:Arg_0<=99 && 2<=Arg_0 && Arg_0<=99 && Arg_0<50
39:n_eval_foo_bb2_in___7(Arg_0) -> n_eval_foo_bb1_in___6(Arg_0+1):|:Arg_0<=1 && 1<=Arg_0 && Arg_0<50 && Arg_0<50
40:n_eval_foo_bb2_in___9(Arg_0) -> n_eval_foo_bb1_in___8(Arg_0+1):|:Arg_0<=0 && 0<=Arg_0 && Arg_0<=0 && 0<=Arg_0 && Arg_0<50
41:n_eval_foo_start(Arg_0) -> n_eval_foo_bb0_in___11(Arg_0)
MPRF for transition 32:n_eval_foo_bb1_in___6(Arg_0) -> n_eval_foo_bb2_in___5(Arg_0):|:Arg_0<=50 && 2<=Arg_0 && Arg_0<100 && Arg_0<=99 && Arg_0<100 of depth 1:
new bound:
102 {O(1)}
MPRF:
n_eval_foo_bb2_in___5 [99-Arg_0 ]
n_eval_foo_bb1_in___6 [100-Arg_0 ]
MPRF for transition 38:n_eval_foo_bb2_in___5(Arg_0) -> n_eval_foo_bb1_in___6(Arg_0+1):|:Arg_0<=99 && 2<=Arg_0 && Arg_0<=99 && Arg_0<50 of depth 1:
new bound:
102 {O(1)}
MPRF:
n_eval_foo_bb2_in___5 [100-Arg_0 ]
n_eval_foo_bb1_in___6 [100-Arg_0 ]
MPRF for transition 36:n_eval_foo_bb2_in___3(Arg_0) -> n_eval_foo_bb1_in___4(Arg_0-1):|:Arg_0<=98 && 49<=Arg_0 && Arg_0<=99 && 49<=Arg_0 && 50<=Arg_0 of depth 1:
new bound:
147 {O(1)}
MPRF:
n_eval_foo_bb2_in___1 [Arg_0-50 ]
n_eval_foo_bb1_in___2 [0 ]
n_eval_foo_bb2_in___3 [Arg_0-49 ]
n_eval_foo_bb1_in___4 [Arg_0-49 ]
All Bounds
Timebounds
Overall timebound:inf {Infinity}
28: n_eval_foo_bb0_in___11->n_eval_foo_bb1_in___10: 1 {O(1)}
29: n_eval_foo_bb1_in___10->n_eval_foo_bb2_in___9: 1 {O(1)}
30: n_eval_foo_bb1_in___2->n_eval_foo_bb2_in___1: inf {Infinity}
31: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___3: inf {Infinity}
32: n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___5: 102 {O(1)}
33: n_eval_foo_bb1_in___8->n_eval_foo_bb2_in___7: 1 {O(1)}
34: n_eval_foo_bb2_in___1->n_eval_foo_bb1_in___4: inf {Infinity}
35: n_eval_foo_bb2_in___3->n_eval_foo_bb1_in___2: inf {Infinity}
36: n_eval_foo_bb2_in___3->n_eval_foo_bb1_in___4: 147 {O(1)}
37: n_eval_foo_bb2_in___5->n_eval_foo_bb1_in___4: 1 {O(1)}
38: n_eval_foo_bb2_in___5->n_eval_foo_bb1_in___6: 102 {O(1)}
39: n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___6: 1 {O(1)}
40: n_eval_foo_bb2_in___9->n_eval_foo_bb1_in___8: 1 {O(1)}
41: n_eval_foo_start->n_eval_foo_bb0_in___11: 1 {O(1)}
Costbounds
Overall costbound: inf {Infinity}
28: n_eval_foo_bb0_in___11->n_eval_foo_bb1_in___10: 1 {O(1)}
29: n_eval_foo_bb1_in___10->n_eval_foo_bb2_in___9: 1 {O(1)}
30: n_eval_foo_bb1_in___2->n_eval_foo_bb2_in___1: inf {Infinity}
31: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___3: inf {Infinity}
32: n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___5: 102 {O(1)}
33: n_eval_foo_bb1_in___8->n_eval_foo_bb2_in___7: 1 {O(1)}
34: n_eval_foo_bb2_in___1->n_eval_foo_bb1_in___4: inf {Infinity}
35: n_eval_foo_bb2_in___3->n_eval_foo_bb1_in___2: inf {Infinity}
36: n_eval_foo_bb2_in___3->n_eval_foo_bb1_in___4: 147 {O(1)}
37: n_eval_foo_bb2_in___5->n_eval_foo_bb1_in___4: 1 {O(1)}
38: n_eval_foo_bb2_in___5->n_eval_foo_bb1_in___6: 102 {O(1)}
39: n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___6: 1 {O(1)}
40: n_eval_foo_bb2_in___9->n_eval_foo_bb1_in___8: 1 {O(1)}
41: n_eval_foo_start->n_eval_foo_bb0_in___11: 1 {O(1)}
Sizebounds
28: n_eval_foo_bb0_in___11->n_eval_foo_bb1_in___10, Arg_0: 0 {O(1)}
29: n_eval_foo_bb1_in___10->n_eval_foo_bb2_in___9, Arg_0: 0 {O(1)}
30: n_eval_foo_bb1_in___2->n_eval_foo_bb2_in___1, Arg_0: 50 {O(1)}
31: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___3, Arg_0: 98 {O(1)}
32: n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___5, Arg_0: 50 {O(1)}
33: n_eval_foo_bb1_in___8->n_eval_foo_bb2_in___7, Arg_0: 1 {O(1)}
34: n_eval_foo_bb2_in___1->n_eval_foo_bb1_in___4, Arg_0: 49 {O(1)}
35: n_eval_foo_bb2_in___3->n_eval_foo_bb1_in___2, Arg_0: 50 {O(1)}
36: n_eval_foo_bb2_in___3->n_eval_foo_bb1_in___4, Arg_0: 97 {O(1)}
37: n_eval_foo_bb2_in___5->n_eval_foo_bb1_in___4, Arg_0: 98 {O(1)}
38: n_eval_foo_bb2_in___5->n_eval_foo_bb1_in___6, Arg_0: 50 {O(1)}
39: n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___6, Arg_0: 2 {O(1)}
40: n_eval_foo_bb2_in___9->n_eval_foo_bb1_in___8, Arg_0: 1 {O(1)}
41: n_eval_foo_start->n_eval_foo_bb0_in___11, Arg_0: Arg_0 {O(n)}