Initial Problem

Start: n_eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4
Temp_Vars:
Locations: n_eval_foo_bb0_in___11, n_eval_foo_bb1_in___10, n_eval_foo_bb1_in___4, n_eval_foo_bb2_in___3, n_eval_foo_bb2_in___7, n_eval_foo_bb2_in___9, n_eval_foo_bb3_in___6, n_eval_foo_bb3_in___8, n_eval_foo_bb4_in___5, n_eval_foo_bb5_in___2, n_eval_foo_start, n_eval_foo_stop___1
Transitions:
0:n_eval_foo_bb0_in___11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb1_in___10(0,3,Arg_2,Arg_3,Arg_4)
1:n_eval_foo_bb1_in___10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb2_in___9(Arg_0,Arg_1,Arg_1,Arg_3,Arg_4):|:Arg_0<10 && Arg_1<12 && Arg_1<=3 && 3<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_0<=9 && Arg_0<10
2:n_eval_foo_bb1_in___4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb2_in___3(Arg_0,Arg_1,Arg_1,Arg_3,Arg_4):|:12<=Arg_1 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_0<10
3:n_eval_foo_bb1_in___4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb5_in___2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:12<=Arg_1 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 10<=Arg_0
4:n_eval_foo_bb2_in___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb4_in___5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:12<=Arg_2 && 12<=Arg_2 && 12<=Arg_2
5:n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb3_in___6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_2<12
6:n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb4_in___5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:12<=Arg_2
7:n_eval_foo_bb2_in___9(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb3_in___8(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_2<12 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_0<=9 && Arg_2<=11 && Arg_2<12
8:n_eval_foo_bb3_in___6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2+1,Arg_3,Arg_4):|:Arg_2<12
9:n_eval_foo_bb3_in___8(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2+1,Arg_3,Arg_4):|:Arg_0<=9 && Arg_1<=11 && Arg_1<=Arg_2 && Arg_2<=Arg_1
10:n_eval_foo_bb4_in___5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb1_in___4(Arg_0+1,Arg_2,Arg_2,Arg_3,Arg_4):|:12<=Arg_2
11:n_eval_foo_bb5_in___2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_stop___1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:12<=Arg_1 && 10<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1
12:n_eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_foo_bb0_in___11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)

Preprocessing

Eliminate variables {Arg_3,Arg_4} that do not contribute to the problem

Found invariant Arg_2<=12 && Arg_2<=9+Arg_1 && Arg_1+Arg_2<=15 && Arg_2<=12+Arg_0 && Arg_0+Arg_2<=12 && 4<=Arg_2 && 7<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && 4+Arg_0<=Arg_2 && Arg_1<=3 && Arg_1<=3+Arg_0 && Arg_0+Arg_1<=3 && 3<=Arg_1 && 3<=Arg_0+Arg_1 && 3+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_eval_foo_bb2_in___7

Found invariant Arg_2<=12 && Arg_2<=Arg_1 && Arg_1+Arg_2<=24 && Arg_2<=11+Arg_0 && 12<=Arg_2 && 24<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 13<=Arg_0+Arg_2 && Arg_1<=12 && Arg_1<=11+Arg_0 && 12<=Arg_1 && 13<=Arg_0+Arg_1 && 1<=Arg_0 for location n_eval_foo_bb1_in___4

Found invariant Arg_2<=11 && Arg_2<=8+Arg_1 && Arg_1+Arg_2<=14 && Arg_2<=11+Arg_0 && Arg_0+Arg_2<=11 && 4<=Arg_2 && 7<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && 4+Arg_0<=Arg_2 && Arg_1<=3 && Arg_1<=3+Arg_0 && Arg_0+Arg_1<=3 && 3<=Arg_1 && 3<=Arg_0+Arg_1 && 3+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_eval_foo_bb3_in___6

Found invariant Arg_2<=12 && Arg_2<=Arg_1 && Arg_1+Arg_2<=24 && Arg_2<=2+Arg_0 && 12<=Arg_2 && 24<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 22<=Arg_0+Arg_2 && Arg_1<=12 && Arg_1<=2+Arg_0 && 12<=Arg_1 && 22<=Arg_0+Arg_1 && 10<=Arg_0 for location n_eval_foo_bb5_in___2

Found invariant Arg_1<=3 && Arg_1<=3+Arg_0 && Arg_0+Arg_1<=3 && 3<=Arg_1 && 3<=Arg_0+Arg_1 && 3+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_eval_foo_bb1_in___10

Found invariant Arg_2<=12 && Arg_2<=Arg_1 && Arg_1+Arg_2<=24 && Arg_2<=2+Arg_0 && 12<=Arg_2 && 24<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 22<=Arg_0+Arg_2 && Arg_1<=12 && Arg_1<=2+Arg_0 && 12<=Arg_1 && 22<=Arg_0+Arg_1 && 10<=Arg_0 for location n_eval_foo_stop___1

Found invariant Arg_2<=3 && Arg_2<=Arg_1 && Arg_1+Arg_2<=6 && Arg_2<=3+Arg_0 && Arg_0+Arg_2<=3 && 3<=Arg_2 && 6<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 3+Arg_0<=Arg_2 && Arg_1<=3 && Arg_1<=3+Arg_0 && Arg_0+Arg_1<=3 && 3<=Arg_1 && 3<=Arg_0+Arg_1 && 3+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_eval_foo_bb3_in___8

Found invariant Arg_2<=12 && Arg_2<=Arg_1 && Arg_1+Arg_2<=24 && Arg_2<=11+Arg_0 && Arg_0+Arg_2<=21 && 12<=Arg_2 && 24<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 13<=Arg_0+Arg_2 && 3+Arg_0<=Arg_2 && Arg_1<=12 && Arg_1<=11+Arg_0 && Arg_0+Arg_1<=21 && 12<=Arg_1 && 13<=Arg_0+Arg_1 && 3+Arg_0<=Arg_1 && Arg_0<=9 && 1<=Arg_0 for location n_eval_foo_bb2_in___3

Found invariant Arg_2<=3 && Arg_2<=Arg_1 && Arg_1+Arg_2<=6 && Arg_2<=3+Arg_0 && Arg_0+Arg_2<=3 && 3<=Arg_2 && 6<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 3+Arg_0<=Arg_2 && Arg_1<=3 && Arg_1<=3+Arg_0 && Arg_0+Arg_1<=3 && 3<=Arg_1 && 3<=Arg_0+Arg_1 && 3+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_eval_foo_bb2_in___9

Found invariant Arg_2<=12 && Arg_2<=9+Arg_1 && Arg_1+Arg_2<=24 && Arg_2<=12+Arg_0 && Arg_0+Arg_2<=21 && 12<=Arg_2 && 15<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 12<=Arg_0+Arg_2 && 3+Arg_0<=Arg_2 && Arg_1<=12 && Arg_1<=11+Arg_0 && Arg_0+Arg_1<=21 && 3<=Arg_1 && 3<=Arg_0+Arg_1 && 3+Arg_0<=Arg_1 && Arg_0<=9 && 0<=Arg_0 for location n_eval_foo_bb4_in___5

Problem after Preprocessing

Start: n_eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: n_eval_foo_bb0_in___11, n_eval_foo_bb1_in___10, n_eval_foo_bb1_in___4, n_eval_foo_bb2_in___3, n_eval_foo_bb2_in___7, n_eval_foo_bb2_in___9, n_eval_foo_bb3_in___6, n_eval_foo_bb3_in___8, n_eval_foo_bb4_in___5, n_eval_foo_bb5_in___2, n_eval_foo_start, n_eval_foo_stop___1
Transitions:
26:n_eval_foo_bb0_in___11(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb1_in___10(0,3,Arg_2)
27:n_eval_foo_bb1_in___10(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___9(Arg_0,Arg_1,Arg_1):|:Arg_1<=3 && Arg_1<=3+Arg_0 && Arg_0+Arg_1<=3 && 3<=Arg_1 && 3<=Arg_0+Arg_1 && 3+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_0<10 && Arg_1<12 && Arg_1<=3 && 3<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_0<=9 && Arg_0<10
28:n_eval_foo_bb1_in___4(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___3(Arg_0,Arg_1,Arg_1):|:Arg_2<=12 && Arg_2<=Arg_1 && Arg_1+Arg_2<=24 && Arg_2<=11+Arg_0 && 12<=Arg_2 && 24<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 13<=Arg_0+Arg_2 && Arg_1<=12 && Arg_1<=11+Arg_0 && 12<=Arg_1 && 13<=Arg_0+Arg_1 && 1<=Arg_0 && 12<=Arg_1 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_0<10
29:n_eval_foo_bb1_in___4(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb5_in___2(Arg_0,Arg_1,Arg_2):|:Arg_2<=12 && Arg_2<=Arg_1 && Arg_1+Arg_2<=24 && Arg_2<=11+Arg_0 && 12<=Arg_2 && 24<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 13<=Arg_0+Arg_2 && Arg_1<=12 && Arg_1<=11+Arg_0 && 12<=Arg_1 && 13<=Arg_0+Arg_1 && 1<=Arg_0 && 12<=Arg_1 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 10<=Arg_0
30:n_eval_foo_bb2_in___3(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb4_in___5(Arg_0,Arg_1,Arg_2):|:Arg_2<=12 && Arg_2<=Arg_1 && Arg_1+Arg_2<=24 && Arg_2<=11+Arg_0 && Arg_0+Arg_2<=21 && 12<=Arg_2 && 24<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 13<=Arg_0+Arg_2 && 3+Arg_0<=Arg_2 && Arg_1<=12 && Arg_1<=11+Arg_0 && Arg_0+Arg_1<=21 && 12<=Arg_1 && 13<=Arg_0+Arg_1 && 3+Arg_0<=Arg_1 && Arg_0<=9 && 1<=Arg_0 && 12<=Arg_2 && 12<=Arg_2 && 12<=Arg_2
31:n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb3_in___6(Arg_0,Arg_1,Arg_2):|:Arg_2<=12 && Arg_2<=9+Arg_1 && Arg_1+Arg_2<=15 && Arg_2<=12+Arg_0 && Arg_0+Arg_2<=12 && 4<=Arg_2 && 7<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && 4+Arg_0<=Arg_2 && Arg_1<=3 && Arg_1<=3+Arg_0 && Arg_0+Arg_1<=3 && 3<=Arg_1 && 3<=Arg_0+Arg_1 && 3+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_2<12
32:n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb4_in___5(Arg_0,Arg_1,Arg_2):|:Arg_2<=12 && Arg_2<=9+Arg_1 && Arg_1+Arg_2<=15 && Arg_2<=12+Arg_0 && Arg_0+Arg_2<=12 && 4<=Arg_2 && 7<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && 4+Arg_0<=Arg_2 && Arg_1<=3 && Arg_1<=3+Arg_0 && Arg_0+Arg_1<=3 && 3<=Arg_1 && 3<=Arg_0+Arg_1 && 3+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && 12<=Arg_2
33:n_eval_foo_bb2_in___9(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb3_in___8(Arg_0,Arg_1,Arg_2):|:Arg_2<=3 && Arg_2<=Arg_1 && Arg_1+Arg_2<=6 && Arg_2<=3+Arg_0 && Arg_0+Arg_2<=3 && 3<=Arg_2 && 6<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 3+Arg_0<=Arg_2 && Arg_1<=3 && Arg_1<=3+Arg_0 && Arg_0+Arg_1<=3 && 3<=Arg_1 && 3<=Arg_0+Arg_1 && 3+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_2<12 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_0<=9 && Arg_2<=11 && Arg_2<12
34:n_eval_foo_bb3_in___6(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2+1):|:Arg_2<=11 && Arg_2<=8+Arg_1 && Arg_1+Arg_2<=14 && Arg_2<=11+Arg_0 && Arg_0+Arg_2<=11 && 4<=Arg_2 && 7<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && 4+Arg_0<=Arg_2 && Arg_1<=3 && Arg_1<=3+Arg_0 && Arg_0+Arg_1<=3 && 3<=Arg_1 && 3<=Arg_0+Arg_1 && 3+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_2<12
35:n_eval_foo_bb3_in___8(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2+1):|:Arg_2<=3 && Arg_2<=Arg_1 && Arg_1+Arg_2<=6 && Arg_2<=3+Arg_0 && Arg_0+Arg_2<=3 && 3<=Arg_2 && 6<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 3+Arg_0<=Arg_2 && Arg_1<=3 && Arg_1<=3+Arg_0 && Arg_0+Arg_1<=3 && 3<=Arg_1 && 3<=Arg_0+Arg_1 && 3+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_0<=9 && Arg_1<=11 && Arg_1<=Arg_2 && Arg_2<=Arg_1
36:n_eval_foo_bb4_in___5(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb1_in___4(Arg_0+1,Arg_2,Arg_2):|:Arg_2<=12 && Arg_2<=9+Arg_1 && Arg_1+Arg_2<=24 && Arg_2<=12+Arg_0 && Arg_0+Arg_2<=21 && 12<=Arg_2 && 15<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 12<=Arg_0+Arg_2 && 3+Arg_0<=Arg_2 && Arg_1<=12 && Arg_1<=11+Arg_0 && Arg_0+Arg_1<=21 && 3<=Arg_1 && 3<=Arg_0+Arg_1 && 3+Arg_0<=Arg_1 && Arg_0<=9 && 0<=Arg_0 && 12<=Arg_2
37:n_eval_foo_bb5_in___2(Arg_0,Arg_1,Arg_2) -> n_eval_foo_stop___1(Arg_0,Arg_1,Arg_2):|:Arg_2<=12 && Arg_2<=Arg_1 && Arg_1+Arg_2<=24 && Arg_2<=2+Arg_0 && 12<=Arg_2 && 24<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 22<=Arg_0+Arg_2 && Arg_1<=12 && Arg_1<=2+Arg_0 && 12<=Arg_1 && 22<=Arg_0+Arg_1 && 10<=Arg_0 && 12<=Arg_1 && 10<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1
38:n_eval_foo_start(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb0_in___11(Arg_0,Arg_1,Arg_2)

MPRF for transition 31:n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb3_in___6(Arg_0,Arg_1,Arg_2):|:Arg_2<=12 && Arg_2<=9+Arg_1 && Arg_1+Arg_2<=15 && Arg_2<=12+Arg_0 && Arg_0+Arg_2<=12 && 4<=Arg_2 && 7<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && 4+Arg_0<=Arg_2 && Arg_1<=3 && Arg_1<=3+Arg_0 && Arg_0+Arg_1<=3 && 3<=Arg_1 && 3<=Arg_0+Arg_1 && 3+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_2<12 of depth 1:

new bound:

16 {O(1)}

MPRF:

n_eval_foo_bb3_in___6 [11-Arg_2 ]
n_eval_foo_bb2_in___7 [12-Arg_2 ]

MPRF for transition 34:n_eval_foo_bb3_in___6(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2+1):|:Arg_2<=11 && Arg_2<=8+Arg_1 && Arg_1+Arg_2<=14 && Arg_2<=11+Arg_0 && Arg_0+Arg_2<=11 && 4<=Arg_2 && 7<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && 4+Arg_0<=Arg_2 && Arg_1<=3 && Arg_1<=3+Arg_0 && Arg_0+Arg_1<=3 && 3<=Arg_1 && 3<=Arg_0+Arg_1 && 3+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_2<12 of depth 1:

new bound:

16 {O(1)}

MPRF:

n_eval_foo_bb3_in___6 [12-Arg_2 ]
n_eval_foo_bb2_in___7 [12-Arg_2 ]

MPRF for transition 28:n_eval_foo_bb1_in___4(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___3(Arg_0,Arg_1,Arg_1):|:Arg_2<=12 && Arg_2<=Arg_1 && Arg_1+Arg_2<=24 && Arg_2<=11+Arg_0 && 12<=Arg_2 && 24<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 13<=Arg_0+Arg_2 && Arg_1<=12 && Arg_1<=11+Arg_0 && 12<=Arg_1 && 13<=Arg_0+Arg_1 && 1<=Arg_0 && 12<=Arg_1 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_0<10 of depth 1:

new bound:

36 {O(1)}

MPRF:

n_eval_foo_bb2_in___3 [3*Arg_2+36-3*Arg_0-3*Arg_1 ]
n_eval_foo_bb4_in___5 [3*Arg_2-3*Arg_0 ]
n_eval_foo_bb1_in___4 [39-3*Arg_0 ]

MPRF for transition 30:n_eval_foo_bb2_in___3(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb4_in___5(Arg_0,Arg_1,Arg_2):|:Arg_2<=12 && Arg_2<=Arg_1 && Arg_1+Arg_2<=24 && Arg_2<=11+Arg_0 && Arg_0+Arg_2<=21 && 12<=Arg_2 && 24<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 13<=Arg_0+Arg_2 && 3+Arg_0<=Arg_2 && Arg_1<=12 && Arg_1<=11+Arg_0 && Arg_0+Arg_1<=21 && 12<=Arg_1 && 13<=Arg_0+Arg_1 && 3+Arg_0<=Arg_1 && Arg_0<=9 && 1<=Arg_0 && 12<=Arg_2 && 12<=Arg_2 && 12<=Arg_2 of depth 1:

new bound:

9 {O(1)}

MPRF:

n_eval_foo_bb2_in___3 [10-Arg_0 ]
n_eval_foo_bb4_in___5 [9-Arg_0 ]
n_eval_foo_bb1_in___4 [10-Arg_0 ]

MPRF for transition 36:n_eval_foo_bb4_in___5(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb1_in___4(Arg_0+1,Arg_2,Arg_2):|:Arg_2<=12 && Arg_2<=9+Arg_1 && Arg_1+Arg_2<=24 && Arg_2<=12+Arg_0 && Arg_0+Arg_2<=21 && 12<=Arg_2 && 15<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 12<=Arg_0+Arg_2 && 3+Arg_0<=Arg_2 && Arg_1<=12 && Arg_1<=11+Arg_0 && Arg_0+Arg_1<=21 && 3<=Arg_1 && 3<=Arg_0+Arg_1 && 3+Arg_0<=Arg_1 && Arg_0<=9 && 0<=Arg_0 && 12<=Arg_2 of depth 1:

new bound:

108 {O(1)}

MPRF:

n_eval_foo_bb2_in___3 [10*Arg_2-8*Arg_0-3*Arg_1 ]
n_eval_foo_bb4_in___5 [8*Arg_2-8*Arg_0-12 ]
n_eval_foo_bb1_in___4 [9*Arg_1-8*Arg_0-Arg_2-12 ]

All Bounds

Timebounds

Overall timebound:193 {O(1)}
26: n_eval_foo_bb0_in___11->n_eval_foo_bb1_in___10: 1 {O(1)}
27: n_eval_foo_bb1_in___10->n_eval_foo_bb2_in___9: 1 {O(1)}
28: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___3: 36 {O(1)}
29: n_eval_foo_bb1_in___4->n_eval_foo_bb5_in___2: 1 {O(1)}
30: n_eval_foo_bb2_in___3->n_eval_foo_bb4_in___5: 9 {O(1)}
31: n_eval_foo_bb2_in___7->n_eval_foo_bb3_in___6: 16 {O(1)}
32: n_eval_foo_bb2_in___7->n_eval_foo_bb4_in___5: 1 {O(1)}
33: n_eval_foo_bb2_in___9->n_eval_foo_bb3_in___8: 1 {O(1)}
34: n_eval_foo_bb3_in___6->n_eval_foo_bb2_in___7: 16 {O(1)}
35: n_eval_foo_bb3_in___8->n_eval_foo_bb2_in___7: 1 {O(1)}
36: n_eval_foo_bb4_in___5->n_eval_foo_bb1_in___4: 108 {O(1)}
37: n_eval_foo_bb5_in___2->n_eval_foo_stop___1: 1 {O(1)}
38: n_eval_foo_start->n_eval_foo_bb0_in___11: 1 {O(1)}

Costbounds

Overall costbound: 193 {O(1)}
26: n_eval_foo_bb0_in___11->n_eval_foo_bb1_in___10: 1 {O(1)}
27: n_eval_foo_bb1_in___10->n_eval_foo_bb2_in___9: 1 {O(1)}
28: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___3: 36 {O(1)}
29: n_eval_foo_bb1_in___4->n_eval_foo_bb5_in___2: 1 {O(1)}
30: n_eval_foo_bb2_in___3->n_eval_foo_bb4_in___5: 9 {O(1)}
31: n_eval_foo_bb2_in___7->n_eval_foo_bb3_in___6: 16 {O(1)}
32: n_eval_foo_bb2_in___7->n_eval_foo_bb4_in___5: 1 {O(1)}
33: n_eval_foo_bb2_in___9->n_eval_foo_bb3_in___8: 1 {O(1)}
34: n_eval_foo_bb3_in___6->n_eval_foo_bb2_in___7: 16 {O(1)}
35: n_eval_foo_bb3_in___8->n_eval_foo_bb2_in___7: 1 {O(1)}
36: n_eval_foo_bb4_in___5->n_eval_foo_bb1_in___4: 108 {O(1)}
37: n_eval_foo_bb5_in___2->n_eval_foo_stop___1: 1 {O(1)}
38: n_eval_foo_start->n_eval_foo_bb0_in___11: 1 {O(1)}

Sizebounds

26: n_eval_foo_bb0_in___11->n_eval_foo_bb1_in___10, Arg_0: 0 {O(1)}
26: n_eval_foo_bb0_in___11->n_eval_foo_bb1_in___10, Arg_1: 3 {O(1)}
26: n_eval_foo_bb0_in___11->n_eval_foo_bb1_in___10, Arg_2: Arg_2 {O(n)}
27: n_eval_foo_bb1_in___10->n_eval_foo_bb2_in___9, Arg_0: 0 {O(1)}
27: n_eval_foo_bb1_in___10->n_eval_foo_bb2_in___9, Arg_1: 3 {O(1)}
27: n_eval_foo_bb1_in___10->n_eval_foo_bb2_in___9, Arg_2: 3 {O(1)}
28: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___3, Arg_0: 9 {O(1)}
28: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___3, Arg_1: 12 {O(1)}
28: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___3, Arg_2: 12 {O(1)}
29: n_eval_foo_bb1_in___4->n_eval_foo_bb5_in___2, Arg_0: 10 {O(1)}
29: n_eval_foo_bb1_in___4->n_eval_foo_bb5_in___2, Arg_1: 12 {O(1)}
29: n_eval_foo_bb1_in___4->n_eval_foo_bb5_in___2, Arg_2: 12 {O(1)}
30: n_eval_foo_bb2_in___3->n_eval_foo_bb4_in___5, Arg_0: 9 {O(1)}
30: n_eval_foo_bb2_in___3->n_eval_foo_bb4_in___5, Arg_1: 12 {O(1)}
30: n_eval_foo_bb2_in___3->n_eval_foo_bb4_in___5, Arg_2: 12 {O(1)}
31: n_eval_foo_bb2_in___7->n_eval_foo_bb3_in___6, Arg_0: 0 {O(1)}
31: n_eval_foo_bb2_in___7->n_eval_foo_bb3_in___6, Arg_1: 3 {O(1)}
31: n_eval_foo_bb2_in___7->n_eval_foo_bb3_in___6, Arg_2: 11 {O(1)}
32: n_eval_foo_bb2_in___7->n_eval_foo_bb4_in___5, Arg_0: 0 {O(1)}
32: n_eval_foo_bb2_in___7->n_eval_foo_bb4_in___5, Arg_1: 3 {O(1)}
32: n_eval_foo_bb2_in___7->n_eval_foo_bb4_in___5, Arg_2: 12 {O(1)}
33: n_eval_foo_bb2_in___9->n_eval_foo_bb3_in___8, Arg_0: 0 {O(1)}
33: n_eval_foo_bb2_in___9->n_eval_foo_bb3_in___8, Arg_1: 3 {O(1)}
33: n_eval_foo_bb2_in___9->n_eval_foo_bb3_in___8, Arg_2: 3 {O(1)}
34: n_eval_foo_bb3_in___6->n_eval_foo_bb2_in___7, Arg_0: 0 {O(1)}
34: n_eval_foo_bb3_in___6->n_eval_foo_bb2_in___7, Arg_1: 3 {O(1)}
34: n_eval_foo_bb3_in___6->n_eval_foo_bb2_in___7, Arg_2: 12 {O(1)}
35: n_eval_foo_bb3_in___8->n_eval_foo_bb2_in___7, Arg_0: 0 {O(1)}
35: n_eval_foo_bb3_in___8->n_eval_foo_bb2_in___7, Arg_1: 3 {O(1)}
35: n_eval_foo_bb3_in___8->n_eval_foo_bb2_in___7, Arg_2: 4 {O(1)}
36: n_eval_foo_bb4_in___5->n_eval_foo_bb1_in___4, Arg_0: 10 {O(1)}
36: n_eval_foo_bb4_in___5->n_eval_foo_bb1_in___4, Arg_1: 12 {O(1)}
36: n_eval_foo_bb4_in___5->n_eval_foo_bb1_in___4, Arg_2: 12 {O(1)}
37: n_eval_foo_bb5_in___2->n_eval_foo_stop___1, Arg_0: 10 {O(1)}
37: n_eval_foo_bb5_in___2->n_eval_foo_stop___1, Arg_1: 12 {O(1)}
37: n_eval_foo_bb5_in___2->n_eval_foo_stop___1, Arg_2: 12 {O(1)}
38: n_eval_foo_start->n_eval_foo_bb0_in___11, Arg_0: Arg_0 {O(n)}
38: n_eval_foo_start->n_eval_foo_bb0_in___11, Arg_1: Arg_1 {O(n)}
38: n_eval_foo_start->n_eval_foo_bb0_in___11, Arg_2: Arg_2 {O(n)}