Initial Problem
Start: n_evalwhile2start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: n_evalwhile2bb1in___12, n_evalwhile2bb1in___14, n_evalwhile2bb2in___13, n_evalwhile2bb2in___16, n_evalwhile2bb2in___5, n_evalwhile2bb2in___9, n_evalwhile2bb3in___11, n_evalwhile2bb3in___7, n_evalwhile2bb4in___10, n_evalwhile2bb4in___17, n_evalwhile2bb4in___6, n_evalwhile2entryin___18, n_evalwhile2returnin___15, n_evalwhile2returnin___4, n_evalwhile2returnin___8, n_evalwhile2start, n_evalwhile2stop___1, n_evalwhile2stop___2, n_evalwhile2stop___3
Transitions:
0:n_evalwhile2bb1in___12(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb2in___13(Arg_0,Arg_1,Arg_2-1):|:1<=Arg_2
1:n_evalwhile2bb1in___14(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb2in___13(Arg_0,Arg_1,Arg_2-1):|:1<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1
2:n_evalwhile2bb2in___13(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb1in___12(Arg_0,Arg_1,Arg_2):|:1<=Arg_2
3:n_evalwhile2bb2in___13(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb3in___11(Arg_0,Arg_1,Arg_2):|:Arg_2<=0
4:n_evalwhile2bb2in___16(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb1in___14(Arg_0,Arg_1,Arg_2):|:1<=Arg_2 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_0 && 1<=Arg_2 && 1<=Arg_2
5:n_evalwhile2bb2in___5(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb3in___7(Arg_0,Arg_1,Arg_2):|:Arg_2<=0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_0 && Arg_2<=0 && Arg_2<=0
6:n_evalwhile2bb2in___9(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb1in___14(Arg_0,Arg_1,Arg_2):|:Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_0 && 1<=Arg_2
7:n_evalwhile2bb2in___9(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb3in___7(Arg_0,Arg_1,Arg_2):|:Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_0 && Arg_2<=0
8:n_evalwhile2bb3in___11(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb4in___10(Arg_0-1,Arg_1,Arg_2):|:Arg_2<=0
9:n_evalwhile2bb3in___7(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb4in___6(Arg_0-1,Arg_1,Arg_2):|:Arg_1<=0 && 1<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1
10:n_evalwhile2bb4in___10(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb2in___9(Arg_0,Arg_1,Arg_1):|:1<=Arg_0
11:n_evalwhile2bb4in___10(Arg_0,Arg_1,Arg_2) -> n_evalwhile2returnin___8(Arg_0,Arg_1,Arg_2):|:Arg_0<=0
12:n_evalwhile2bb4in___17(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb2in___16(Arg_0,Arg_1,Arg_1):|:Arg_0<=Arg_1 && Arg_1<=Arg_0 && 1<=Arg_0
13:n_evalwhile2bb4in___17(Arg_0,Arg_1,Arg_2) -> n_evalwhile2returnin___15(Arg_0,Arg_1,Arg_2):|:Arg_0<=Arg_1 && Arg_1<=Arg_0 && Arg_0<=0
14:n_evalwhile2bb4in___6(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb2in___5(Arg_0,Arg_1,Arg_1):|:Arg_1<=0 && 1<=Arg_0
15:n_evalwhile2bb4in___6(Arg_0,Arg_1,Arg_2) -> n_evalwhile2returnin___4(Arg_0,Arg_1,Arg_2):|:Arg_1<=0 && Arg_0<=0
16:n_evalwhile2entryin___18(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb4in___17(Arg_1,Arg_1,Arg_2)
17:n_evalwhile2returnin___15(Arg_0,Arg_1,Arg_2) -> n_evalwhile2stop___1(Arg_0,Arg_1,Arg_2):|:Arg_0<=0 && Arg_0<=Arg_1 && Arg_1<=Arg_0
18:n_evalwhile2returnin___4(Arg_0,Arg_1,Arg_2) -> n_evalwhile2stop___3(Arg_0,Arg_1,Arg_2):|:Arg_0<=0 && Arg_1<=0
19:n_evalwhile2returnin___8(Arg_0,Arg_1,Arg_2) -> n_evalwhile2stop___2(Arg_0,Arg_1,Arg_2):|:Arg_0<=0
20:n_evalwhile2start(Arg_0,Arg_1,Arg_2) -> n_evalwhile2entryin___18(Arg_0,Arg_1,Arg_2)
Show Graph
G
n_evalwhile2bb1in___12
n_evalwhile2bb1in___12
n_evalwhile2bb2in___13
n_evalwhile2bb2in___13
n_evalwhile2bb1in___12->n_evalwhile2bb2in___13
t₀
η (Arg_2) = Arg_2-1
τ = 1<=Arg_2
n_evalwhile2bb1in___14
n_evalwhile2bb1in___14
n_evalwhile2bb1in___14->n_evalwhile2bb2in___13
t₁
η (Arg_2) = Arg_2-1
τ = 1<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1
n_evalwhile2bb2in___13->n_evalwhile2bb1in___12
t₂
τ = 1<=Arg_2
n_evalwhile2bb3in___11
n_evalwhile2bb3in___11
n_evalwhile2bb2in___13->n_evalwhile2bb3in___11
t₃
τ = Arg_2<=0
n_evalwhile2bb2in___16
n_evalwhile2bb2in___16
n_evalwhile2bb2in___16->n_evalwhile2bb1in___14
t₄
τ = 1<=Arg_2 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_0 && 1<=Arg_2 && 1<=Arg_2
n_evalwhile2bb2in___5
n_evalwhile2bb2in___5
n_evalwhile2bb3in___7
n_evalwhile2bb3in___7
n_evalwhile2bb2in___5->n_evalwhile2bb3in___7
t₅
τ = Arg_2<=0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_0 && Arg_2<=0 && Arg_2<=0
n_evalwhile2bb2in___9
n_evalwhile2bb2in___9
n_evalwhile2bb2in___9->n_evalwhile2bb1in___14
t₆
τ = Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_0 && 1<=Arg_2
n_evalwhile2bb2in___9->n_evalwhile2bb3in___7
t₇
τ = Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_0 && Arg_2<=0
n_evalwhile2bb4in___10
n_evalwhile2bb4in___10
n_evalwhile2bb3in___11->n_evalwhile2bb4in___10
t₈
η (Arg_0) = Arg_0-1
τ = Arg_2<=0
n_evalwhile2bb4in___6
n_evalwhile2bb4in___6
n_evalwhile2bb3in___7->n_evalwhile2bb4in___6
t₉
η (Arg_0) = Arg_0-1
τ = Arg_1<=0 && 1<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1
n_evalwhile2bb4in___10->n_evalwhile2bb2in___9
t₁₀
η (Arg_2) = Arg_1
τ = 1<=Arg_0
n_evalwhile2returnin___8
n_evalwhile2returnin___8
n_evalwhile2bb4in___10->n_evalwhile2returnin___8
t₁₁
τ = Arg_0<=0
n_evalwhile2bb4in___17
n_evalwhile2bb4in___17
n_evalwhile2bb4in___17->n_evalwhile2bb2in___16
t₁₂
η (Arg_2) = Arg_1
τ = Arg_0<=Arg_1 && Arg_1<=Arg_0 && 1<=Arg_0
n_evalwhile2returnin___15
n_evalwhile2returnin___15
n_evalwhile2bb4in___17->n_evalwhile2returnin___15
t₁₃
τ = Arg_0<=Arg_1 && Arg_1<=Arg_0 && Arg_0<=0
n_evalwhile2bb4in___6->n_evalwhile2bb2in___5
t₁₄
η (Arg_2) = Arg_1
τ = Arg_1<=0 && 1<=Arg_0
n_evalwhile2returnin___4
n_evalwhile2returnin___4
n_evalwhile2bb4in___6->n_evalwhile2returnin___4
t₁₅
τ = Arg_1<=0 && Arg_0<=0
n_evalwhile2entryin___18
n_evalwhile2entryin___18
n_evalwhile2entryin___18->n_evalwhile2bb4in___17
t₁₆
η (Arg_0) = Arg_1
n_evalwhile2stop___1
n_evalwhile2stop___1
n_evalwhile2returnin___15->n_evalwhile2stop___1
t₁₇
τ = Arg_0<=0 && Arg_0<=Arg_1 && Arg_1<=Arg_0
n_evalwhile2stop___3
n_evalwhile2stop___3
n_evalwhile2returnin___4->n_evalwhile2stop___3
t₁₈
τ = Arg_0<=0 && Arg_1<=0
n_evalwhile2stop___2
n_evalwhile2stop___2
n_evalwhile2returnin___8->n_evalwhile2stop___2
t₁₉
τ = Arg_0<=0
n_evalwhile2start
n_evalwhile2start
n_evalwhile2start->n_evalwhile2entryin___18
t₂₀
Preprocessing
Found invariant Arg_2<=Arg_1 && 2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 for location n_evalwhile2bb2in___9
Found invariant Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 for location n_evalwhile2bb2in___16
Found invariant 1<=0 for location n_evalwhile2stop___3
Found invariant Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 for location n_evalwhile2bb3in___11
Found invariant 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 for location n_evalwhile2bb2in___13
Found invariant Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && Arg_0<=Arg_1 && Arg_0<=0 for location n_evalwhile2returnin___15
Found invariant Arg_2<=0 && 1+Arg_2<=Arg_1 && Arg_0+Arg_2<=0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 for location n_evalwhile2stop___2
Found invariant 1<=0 for location n_evalwhile2bb4in___6
Found invariant Arg_2<=0 && 1+Arg_2<=Arg_1 && Arg_0+Arg_2<=0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 for location n_evalwhile2returnin___8
Found invariant Arg_1<=Arg_0 && Arg_0<=Arg_1 for location n_evalwhile2bb4in___17
Found invariant Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 for location n_evalwhile2bb1in___14
Found invariant 1<=0 for location n_evalwhile2returnin___4
Found invariant 1<=0 for location n_evalwhile2bb3in___7
Found invariant 1<=0 for location n_evalwhile2bb2in___5
Found invariant Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 for location n_evalwhile2bb4in___10
Found invariant Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && Arg_0<=Arg_1 && Arg_0<=0 for location n_evalwhile2stop___1
Found invariant 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_0<=Arg_1 for location n_evalwhile2bb1in___12
Cut unsatisfiable transition 5: n_evalwhile2bb2in___5->n_evalwhile2bb3in___7
Cut unsatisfiable transition 7: n_evalwhile2bb2in___9->n_evalwhile2bb3in___7
Cut unsatisfiable transition 9: n_evalwhile2bb3in___7->n_evalwhile2bb4in___6
Cut unsatisfiable transition 14: n_evalwhile2bb4in___6->n_evalwhile2bb2in___5
Cut unsatisfiable transition 15: n_evalwhile2bb4in___6->n_evalwhile2returnin___4
Cut unsatisfiable transition 18: n_evalwhile2returnin___4->n_evalwhile2stop___3
Cut unreachable locations [n_evalwhile2bb2in___5; n_evalwhile2bb3in___7; n_evalwhile2bb4in___6; n_evalwhile2returnin___4; n_evalwhile2stop___3] from the program graph
Problem after Preprocessing
Start: n_evalwhile2start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: n_evalwhile2bb1in___12, n_evalwhile2bb1in___14, n_evalwhile2bb2in___13, n_evalwhile2bb2in___16, n_evalwhile2bb2in___9, n_evalwhile2bb3in___11, n_evalwhile2bb4in___10, n_evalwhile2bb4in___17, n_evalwhile2entryin___18, n_evalwhile2returnin___15, n_evalwhile2returnin___8, n_evalwhile2start, n_evalwhile2stop___1, n_evalwhile2stop___2
Transitions:
0:n_evalwhile2bb1in___12(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb2in___13(Arg_0,Arg_1,Arg_2-1):|:1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2
1:n_evalwhile2bb1in___14(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb2in___13(Arg_0,Arg_1,Arg_2-1):|:Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1
2:n_evalwhile2bb2in___13(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb1in___12(Arg_0,Arg_1,Arg_2):|:1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2
3:n_evalwhile2bb2in___13(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb3in___11(Arg_0,Arg_1,Arg_2):|:1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && Arg_2<=0
4:n_evalwhile2bb2in___16(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb1in___14(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && 1<=Arg_2 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_0 && 1<=Arg_2 && 1<=Arg_2
6:n_evalwhile2bb2in___9(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb1in___14(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_1 && 2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_0 && 1<=Arg_2
8:n_evalwhile2bb3in___11(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb4in___10(Arg_0-1,Arg_1,Arg_2):|:Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && Arg_2<=0
10:n_evalwhile2bb4in___10(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb2in___9(Arg_0,Arg_1,Arg_1):|:Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0
11:n_evalwhile2bb4in___10(Arg_0,Arg_1,Arg_2) -> n_evalwhile2returnin___8(Arg_0,Arg_1,Arg_2):|:Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0
12:n_evalwhile2bb4in___17(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb2in___16(Arg_0,Arg_1,Arg_1):|:Arg_1<=Arg_0 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && 1<=Arg_0
13:n_evalwhile2bb4in___17(Arg_0,Arg_1,Arg_2) -> n_evalwhile2returnin___15(Arg_0,Arg_1,Arg_2):|:Arg_1<=Arg_0 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && Arg_0<=0
16:n_evalwhile2entryin___18(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb4in___17(Arg_1,Arg_1,Arg_2)
17:n_evalwhile2returnin___15(Arg_0,Arg_1,Arg_2) -> n_evalwhile2stop___1(Arg_0,Arg_1,Arg_2):|:Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && Arg_0<=Arg_1 && Arg_0<=0 && Arg_0<=0 && Arg_0<=Arg_1 && Arg_1<=Arg_0
19:n_evalwhile2returnin___8(Arg_0,Arg_1,Arg_2) -> n_evalwhile2stop___2(Arg_0,Arg_1,Arg_2):|:Arg_2<=0 && 1+Arg_2<=Arg_1 && Arg_0+Arg_2<=0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && Arg_0<=0
20:n_evalwhile2start(Arg_0,Arg_1,Arg_2) -> n_evalwhile2entryin___18(Arg_0,Arg_1,Arg_2)
Show Graph
G
n_evalwhile2bb1in___12
n_evalwhile2bb1in___12
n_evalwhile2bb2in___13
n_evalwhile2bb2in___13
n_evalwhile2bb1in___12->n_evalwhile2bb2in___13
t₀
η (Arg_2) = Arg_2-1
τ = 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2
n_evalwhile2bb1in___14
n_evalwhile2bb1in___14
n_evalwhile2bb1in___14->n_evalwhile2bb2in___13
t₁
η (Arg_2) = Arg_2-1
τ = Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1
n_evalwhile2bb2in___13->n_evalwhile2bb1in___12
t₂
τ = 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2
n_evalwhile2bb3in___11
n_evalwhile2bb3in___11
n_evalwhile2bb2in___13->n_evalwhile2bb3in___11
t₃
τ = 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && Arg_2<=0
n_evalwhile2bb2in___16
n_evalwhile2bb2in___16
n_evalwhile2bb2in___16->n_evalwhile2bb1in___14
t₄
τ = Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && 1<=Arg_2 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_0 && 1<=Arg_2 && 1<=Arg_2
n_evalwhile2bb2in___9
n_evalwhile2bb2in___9
n_evalwhile2bb2in___9->n_evalwhile2bb1in___14
t₆
τ = Arg_2<=Arg_1 && 2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_0 && 1<=Arg_2
n_evalwhile2bb4in___10
n_evalwhile2bb4in___10
n_evalwhile2bb3in___11->n_evalwhile2bb4in___10
t₈
η (Arg_0) = Arg_0-1
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && Arg_2<=0
n_evalwhile2bb4in___10->n_evalwhile2bb2in___9
t₁₀
η (Arg_2) = Arg_1
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0
n_evalwhile2returnin___8
n_evalwhile2returnin___8
n_evalwhile2bb4in___10->n_evalwhile2returnin___8
t₁₁
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0
n_evalwhile2bb4in___17
n_evalwhile2bb4in___17
n_evalwhile2bb4in___17->n_evalwhile2bb2in___16
t₁₂
η (Arg_2) = Arg_1
τ = Arg_1<=Arg_0 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && 1<=Arg_0
n_evalwhile2returnin___15
n_evalwhile2returnin___15
n_evalwhile2bb4in___17->n_evalwhile2returnin___15
t₁₃
τ = Arg_1<=Arg_0 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && Arg_0<=0
n_evalwhile2entryin___18
n_evalwhile2entryin___18
n_evalwhile2entryin___18->n_evalwhile2bb4in___17
t₁₆
η (Arg_0) = Arg_1
n_evalwhile2stop___1
n_evalwhile2stop___1
n_evalwhile2returnin___15->n_evalwhile2stop___1
t₁₇
τ = Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && Arg_0<=Arg_1 && Arg_0<=0 && Arg_0<=0 && Arg_0<=Arg_1 && Arg_1<=Arg_0
n_evalwhile2stop___2
n_evalwhile2stop___2
n_evalwhile2returnin___8->n_evalwhile2stop___2
t₁₉
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && Arg_0+Arg_2<=0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && Arg_0<=0
n_evalwhile2start
n_evalwhile2start
n_evalwhile2start->n_evalwhile2entryin___18
t₂₀
MPRF for transition 1:n_evalwhile2bb1in___14(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb2in___13(Arg_0,Arg_1,Arg_2-1):|:Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 of depth 1:
new bound:
Arg_1 {O(n)}
MPRF:
n_evalwhile2bb1in___12 [Arg_0-1 ]
n_evalwhile2bb2in___13 [Arg_0-1 ]
n_evalwhile2bb1in___14 [Arg_0 ]
n_evalwhile2bb3in___11 [Arg_0-1 ]
n_evalwhile2bb4in___10 [Arg_0 ]
n_evalwhile2bb2in___9 [Arg_0 ]
Show Graph
G
n_evalwhile2bb1in___12
n_evalwhile2bb1in___12
n_evalwhile2bb2in___13
n_evalwhile2bb2in___13
n_evalwhile2bb1in___12->n_evalwhile2bb2in___13
t₀
η (Arg_2) = Arg_2-1
τ = 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2
n_evalwhile2bb1in___14
n_evalwhile2bb1in___14
n_evalwhile2bb1in___14->n_evalwhile2bb2in___13
t₁
η (Arg_2) = Arg_2-1
τ = Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1
n_evalwhile2bb2in___13->n_evalwhile2bb1in___12
t₂
τ = 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2
n_evalwhile2bb3in___11
n_evalwhile2bb3in___11
n_evalwhile2bb2in___13->n_evalwhile2bb3in___11
t₃
τ = 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && Arg_2<=0
n_evalwhile2bb2in___16
n_evalwhile2bb2in___16
n_evalwhile2bb2in___16->n_evalwhile2bb1in___14
t₄
τ = Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && 1<=Arg_2 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_0 && 1<=Arg_2 && 1<=Arg_2
n_evalwhile2bb2in___9
n_evalwhile2bb2in___9
n_evalwhile2bb2in___9->n_evalwhile2bb1in___14
t₆
τ = Arg_2<=Arg_1 && 2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_0 && 1<=Arg_2
n_evalwhile2bb4in___10
n_evalwhile2bb4in___10
n_evalwhile2bb3in___11->n_evalwhile2bb4in___10
t₈
η (Arg_0) = Arg_0-1
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && Arg_2<=0
n_evalwhile2bb4in___10->n_evalwhile2bb2in___9
t₁₀
η (Arg_2) = Arg_1
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0
n_evalwhile2returnin___8
n_evalwhile2returnin___8
n_evalwhile2bb4in___10->n_evalwhile2returnin___8
t₁₁
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0
n_evalwhile2bb4in___17
n_evalwhile2bb4in___17
n_evalwhile2bb4in___17->n_evalwhile2bb2in___16
t₁₂
η (Arg_2) = Arg_1
τ = Arg_1<=Arg_0 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && 1<=Arg_0
n_evalwhile2returnin___15
n_evalwhile2returnin___15
n_evalwhile2bb4in___17->n_evalwhile2returnin___15
t₁₃
τ = Arg_1<=Arg_0 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && Arg_0<=0
n_evalwhile2entryin___18
n_evalwhile2entryin___18
n_evalwhile2entryin___18->n_evalwhile2bb4in___17
t₁₆
η (Arg_0) = Arg_1
n_evalwhile2stop___1
n_evalwhile2stop___1
n_evalwhile2returnin___15->n_evalwhile2stop___1
t₁₇
τ = Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && Arg_0<=Arg_1 && Arg_0<=0 && Arg_0<=0 && Arg_0<=Arg_1 && Arg_1<=Arg_0
n_evalwhile2stop___2
n_evalwhile2stop___2
n_evalwhile2returnin___8->n_evalwhile2stop___2
t₁₉
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && Arg_0+Arg_2<=0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && Arg_0<=0
n_evalwhile2start
n_evalwhile2start
n_evalwhile2start->n_evalwhile2entryin___18
t₂₀
MPRF for transition 6:n_evalwhile2bb2in___9(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb1in___14(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_1 && 2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_0 && 1<=Arg_2 of depth 1:
new bound:
Arg_1 {O(n)}
MPRF:
n_evalwhile2bb1in___12 [Arg_0 ]
n_evalwhile2bb2in___13 [Arg_0 ]
n_evalwhile2bb1in___14 [Arg_0 ]
n_evalwhile2bb3in___11 [Arg_0 ]
n_evalwhile2bb4in___10 [Arg_0+1 ]
n_evalwhile2bb2in___9 [Arg_0+1 ]
Show Graph
G
n_evalwhile2bb1in___12
n_evalwhile2bb1in___12
n_evalwhile2bb2in___13
n_evalwhile2bb2in___13
n_evalwhile2bb1in___12->n_evalwhile2bb2in___13
t₀
η (Arg_2) = Arg_2-1
τ = 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2
n_evalwhile2bb1in___14
n_evalwhile2bb1in___14
n_evalwhile2bb1in___14->n_evalwhile2bb2in___13
t₁
η (Arg_2) = Arg_2-1
τ = Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1
n_evalwhile2bb2in___13->n_evalwhile2bb1in___12
t₂
τ = 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2
n_evalwhile2bb3in___11
n_evalwhile2bb3in___11
n_evalwhile2bb2in___13->n_evalwhile2bb3in___11
t₃
τ = 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && Arg_2<=0
n_evalwhile2bb2in___16
n_evalwhile2bb2in___16
n_evalwhile2bb2in___16->n_evalwhile2bb1in___14
t₄
τ = Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && 1<=Arg_2 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_0 && 1<=Arg_2 && 1<=Arg_2
n_evalwhile2bb2in___9
n_evalwhile2bb2in___9
n_evalwhile2bb2in___9->n_evalwhile2bb1in___14
t₆
τ = Arg_2<=Arg_1 && 2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_0 && 1<=Arg_2
n_evalwhile2bb4in___10
n_evalwhile2bb4in___10
n_evalwhile2bb3in___11->n_evalwhile2bb4in___10
t₈
η (Arg_0) = Arg_0-1
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && Arg_2<=0
n_evalwhile2bb4in___10->n_evalwhile2bb2in___9
t₁₀
η (Arg_2) = Arg_1
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0
n_evalwhile2returnin___8
n_evalwhile2returnin___8
n_evalwhile2bb4in___10->n_evalwhile2returnin___8
t₁₁
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0
n_evalwhile2bb4in___17
n_evalwhile2bb4in___17
n_evalwhile2bb4in___17->n_evalwhile2bb2in___16
t₁₂
η (Arg_2) = Arg_1
τ = Arg_1<=Arg_0 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && 1<=Arg_0
n_evalwhile2returnin___15
n_evalwhile2returnin___15
n_evalwhile2bb4in___17->n_evalwhile2returnin___15
t₁₃
τ = Arg_1<=Arg_0 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && Arg_0<=0
n_evalwhile2entryin___18
n_evalwhile2entryin___18
n_evalwhile2entryin___18->n_evalwhile2bb4in___17
t₁₆
η (Arg_0) = Arg_1
n_evalwhile2stop___1
n_evalwhile2stop___1
n_evalwhile2returnin___15->n_evalwhile2stop___1
t₁₇
τ = Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && Arg_0<=Arg_1 && Arg_0<=0 && Arg_0<=0 && Arg_0<=Arg_1 && Arg_1<=Arg_0
n_evalwhile2stop___2
n_evalwhile2stop___2
n_evalwhile2returnin___8->n_evalwhile2stop___2
t₁₉
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && Arg_0+Arg_2<=0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && Arg_0<=0
n_evalwhile2start
n_evalwhile2start
n_evalwhile2start->n_evalwhile2entryin___18
t₂₀
MPRF for transition 10:n_evalwhile2bb4in___10(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb2in___9(Arg_0,Arg_1,Arg_1):|:Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 of depth 1:
new bound:
Arg_1 {O(n)}
MPRF:
n_evalwhile2bb1in___12 [Arg_0 ]
n_evalwhile2bb2in___13 [Arg_0 ]
n_evalwhile2bb1in___14 [Arg_0 ]
n_evalwhile2bb3in___11 [Arg_0 ]
n_evalwhile2bb4in___10 [Arg_0+1 ]
n_evalwhile2bb2in___9 [Arg_0 ]
Show Graph
G
n_evalwhile2bb1in___12
n_evalwhile2bb1in___12
n_evalwhile2bb2in___13
n_evalwhile2bb2in___13
n_evalwhile2bb1in___12->n_evalwhile2bb2in___13
t₀
η (Arg_2) = Arg_2-1
τ = 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2
n_evalwhile2bb1in___14
n_evalwhile2bb1in___14
n_evalwhile2bb1in___14->n_evalwhile2bb2in___13
t₁
η (Arg_2) = Arg_2-1
τ = Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1
n_evalwhile2bb2in___13->n_evalwhile2bb1in___12
t₂
τ = 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2
n_evalwhile2bb3in___11
n_evalwhile2bb3in___11
n_evalwhile2bb2in___13->n_evalwhile2bb3in___11
t₃
τ = 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && Arg_2<=0
n_evalwhile2bb2in___16
n_evalwhile2bb2in___16
n_evalwhile2bb2in___16->n_evalwhile2bb1in___14
t₄
τ = Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && 1<=Arg_2 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_0 && 1<=Arg_2 && 1<=Arg_2
n_evalwhile2bb2in___9
n_evalwhile2bb2in___9
n_evalwhile2bb2in___9->n_evalwhile2bb1in___14
t₆
τ = Arg_2<=Arg_1 && 2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_0 && 1<=Arg_2
n_evalwhile2bb4in___10
n_evalwhile2bb4in___10
n_evalwhile2bb3in___11->n_evalwhile2bb4in___10
t₈
η (Arg_0) = Arg_0-1
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && Arg_2<=0
n_evalwhile2bb4in___10->n_evalwhile2bb2in___9
t₁₀
η (Arg_2) = Arg_1
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0
n_evalwhile2returnin___8
n_evalwhile2returnin___8
n_evalwhile2bb4in___10->n_evalwhile2returnin___8
t₁₁
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0
n_evalwhile2bb4in___17
n_evalwhile2bb4in___17
n_evalwhile2bb4in___17->n_evalwhile2bb2in___16
t₁₂
η (Arg_2) = Arg_1
τ = Arg_1<=Arg_0 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && 1<=Arg_0
n_evalwhile2returnin___15
n_evalwhile2returnin___15
n_evalwhile2bb4in___17->n_evalwhile2returnin___15
t₁₃
τ = Arg_1<=Arg_0 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && Arg_0<=0
n_evalwhile2entryin___18
n_evalwhile2entryin___18
n_evalwhile2entryin___18->n_evalwhile2bb4in___17
t₁₆
η (Arg_0) = Arg_1
n_evalwhile2stop___1
n_evalwhile2stop___1
n_evalwhile2returnin___15->n_evalwhile2stop___1
t₁₇
τ = Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && Arg_0<=Arg_1 && Arg_0<=0 && Arg_0<=0 && Arg_0<=Arg_1 && Arg_1<=Arg_0
n_evalwhile2stop___2
n_evalwhile2stop___2
n_evalwhile2returnin___8->n_evalwhile2stop___2
t₁₉
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && Arg_0+Arg_2<=0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && Arg_0<=0
n_evalwhile2start
n_evalwhile2start
n_evalwhile2start->n_evalwhile2entryin___18
t₂₀
MPRF for transition 0:n_evalwhile2bb1in___12(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb2in___13(Arg_0,Arg_1,Arg_2-1):|:1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2 of depth 1:
new bound:
Arg_1*Arg_1+Arg_1 {O(n^2)}
MPRF:
n_evalwhile2bb1in___12 [Arg_2 ]
n_evalwhile2bb2in___13 [Arg_2 ]
n_evalwhile2bb2in___9 [Arg_2 ]
n_evalwhile2bb1in___14 [Arg_2 ]
n_evalwhile2bb3in___11 [0 ]
n_evalwhile2bb4in___10 [0 ]
Show Graph
G
n_evalwhile2bb1in___12
n_evalwhile2bb1in___12
n_evalwhile2bb2in___13
n_evalwhile2bb2in___13
n_evalwhile2bb1in___12->n_evalwhile2bb2in___13
t₀
η (Arg_2) = Arg_2-1
τ = 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2
n_evalwhile2bb1in___14
n_evalwhile2bb1in___14
n_evalwhile2bb1in___14->n_evalwhile2bb2in___13
t₁
η (Arg_2) = Arg_2-1
τ = Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1
n_evalwhile2bb2in___13->n_evalwhile2bb1in___12
t₂
τ = 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2
n_evalwhile2bb3in___11
n_evalwhile2bb3in___11
n_evalwhile2bb2in___13->n_evalwhile2bb3in___11
t₃
τ = 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && Arg_2<=0
n_evalwhile2bb2in___16
n_evalwhile2bb2in___16
n_evalwhile2bb2in___16->n_evalwhile2bb1in___14
t₄
τ = Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && 1<=Arg_2 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_0 && 1<=Arg_2 && 1<=Arg_2
n_evalwhile2bb2in___9
n_evalwhile2bb2in___9
n_evalwhile2bb2in___9->n_evalwhile2bb1in___14
t₆
τ = Arg_2<=Arg_1 && 2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_0 && 1<=Arg_2
n_evalwhile2bb4in___10
n_evalwhile2bb4in___10
n_evalwhile2bb3in___11->n_evalwhile2bb4in___10
t₈
η (Arg_0) = Arg_0-1
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && Arg_2<=0
n_evalwhile2bb4in___10->n_evalwhile2bb2in___9
t₁₀
η (Arg_2) = Arg_1
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0
n_evalwhile2returnin___8
n_evalwhile2returnin___8
n_evalwhile2bb4in___10->n_evalwhile2returnin___8
t₁₁
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0
n_evalwhile2bb4in___17
n_evalwhile2bb4in___17
n_evalwhile2bb4in___17->n_evalwhile2bb2in___16
t₁₂
η (Arg_2) = Arg_1
τ = Arg_1<=Arg_0 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && 1<=Arg_0
n_evalwhile2returnin___15
n_evalwhile2returnin___15
n_evalwhile2bb4in___17->n_evalwhile2returnin___15
t₁₃
τ = Arg_1<=Arg_0 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && Arg_0<=0
n_evalwhile2entryin___18
n_evalwhile2entryin___18
n_evalwhile2entryin___18->n_evalwhile2bb4in___17
t₁₆
η (Arg_0) = Arg_1
n_evalwhile2stop___1
n_evalwhile2stop___1
n_evalwhile2returnin___15->n_evalwhile2stop___1
t₁₇
τ = Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && Arg_0<=Arg_1 && Arg_0<=0 && Arg_0<=0 && Arg_0<=Arg_1 && Arg_1<=Arg_0
n_evalwhile2stop___2
n_evalwhile2stop___2
n_evalwhile2returnin___8->n_evalwhile2stop___2
t₁₉
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && Arg_0+Arg_2<=0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && Arg_0<=0
n_evalwhile2start
n_evalwhile2start
n_evalwhile2start->n_evalwhile2entryin___18
t₂₀
MPRF for transition 2:n_evalwhile2bb2in___13(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb1in___12(Arg_0,Arg_1,Arg_2):|:1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2 of depth 1:
new bound:
Arg_1*Arg_1+Arg_1 {O(n^2)}
MPRF:
n_evalwhile2bb1in___12 [Arg_2 ]
n_evalwhile2bb2in___13 [Arg_2+1 ]
n_evalwhile2bb2in___9 [Arg_2 ]
n_evalwhile2bb1in___14 [Arg_2 ]
n_evalwhile2bb3in___11 [Arg_2 ]
n_evalwhile2bb4in___10 [Arg_2 ]
Show Graph
G
n_evalwhile2bb1in___12
n_evalwhile2bb1in___12
n_evalwhile2bb2in___13
n_evalwhile2bb2in___13
n_evalwhile2bb1in___12->n_evalwhile2bb2in___13
t₀
η (Arg_2) = Arg_2-1
τ = 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2
n_evalwhile2bb1in___14
n_evalwhile2bb1in___14
n_evalwhile2bb1in___14->n_evalwhile2bb2in___13
t₁
η (Arg_2) = Arg_2-1
τ = Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1
n_evalwhile2bb2in___13->n_evalwhile2bb1in___12
t₂
τ = 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2
n_evalwhile2bb3in___11
n_evalwhile2bb3in___11
n_evalwhile2bb2in___13->n_evalwhile2bb3in___11
t₃
τ = 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && Arg_2<=0
n_evalwhile2bb2in___16
n_evalwhile2bb2in___16
n_evalwhile2bb2in___16->n_evalwhile2bb1in___14
t₄
τ = Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && 1<=Arg_2 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_0 && 1<=Arg_2 && 1<=Arg_2
n_evalwhile2bb2in___9
n_evalwhile2bb2in___9
n_evalwhile2bb2in___9->n_evalwhile2bb1in___14
t₆
τ = Arg_2<=Arg_1 && 2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_0 && 1<=Arg_2
n_evalwhile2bb4in___10
n_evalwhile2bb4in___10
n_evalwhile2bb3in___11->n_evalwhile2bb4in___10
t₈
η (Arg_0) = Arg_0-1
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && Arg_2<=0
n_evalwhile2bb4in___10->n_evalwhile2bb2in___9
t₁₀
η (Arg_2) = Arg_1
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0
n_evalwhile2returnin___8
n_evalwhile2returnin___8
n_evalwhile2bb4in___10->n_evalwhile2returnin___8
t₁₁
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0
n_evalwhile2bb4in___17
n_evalwhile2bb4in___17
n_evalwhile2bb4in___17->n_evalwhile2bb2in___16
t₁₂
η (Arg_2) = Arg_1
τ = Arg_1<=Arg_0 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && 1<=Arg_0
n_evalwhile2returnin___15
n_evalwhile2returnin___15
n_evalwhile2bb4in___17->n_evalwhile2returnin___15
t₁₃
τ = Arg_1<=Arg_0 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && Arg_0<=0
n_evalwhile2entryin___18
n_evalwhile2entryin___18
n_evalwhile2entryin___18->n_evalwhile2bb4in___17
t₁₆
η (Arg_0) = Arg_1
n_evalwhile2stop___1
n_evalwhile2stop___1
n_evalwhile2returnin___15->n_evalwhile2stop___1
t₁₇
τ = Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && Arg_0<=Arg_1 && Arg_0<=0 && Arg_0<=0 && Arg_0<=Arg_1 && Arg_1<=Arg_0
n_evalwhile2stop___2
n_evalwhile2stop___2
n_evalwhile2returnin___8->n_evalwhile2stop___2
t₁₉
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && Arg_0+Arg_2<=0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && Arg_0<=0
n_evalwhile2start
n_evalwhile2start
n_evalwhile2start->n_evalwhile2entryin___18
t₂₀
MPRF for transition 3:n_evalwhile2bb2in___13(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb3in___11(Arg_0,Arg_1,Arg_2):|:1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && Arg_2<=0 of depth 1:
new bound:
Arg_1+1 {O(n)}
MPRF:
n_evalwhile2bb1in___12 [1 ]
n_evalwhile2bb2in___13 [1 ]
n_evalwhile2bb2in___9 [1 ]
n_evalwhile2bb1in___14 [1 ]
n_evalwhile2bb3in___11 [0 ]
n_evalwhile2bb4in___10 [0 ]
Show Graph
G
n_evalwhile2bb1in___12
n_evalwhile2bb1in___12
n_evalwhile2bb2in___13
n_evalwhile2bb2in___13
n_evalwhile2bb1in___12->n_evalwhile2bb2in___13
t₀
η (Arg_2) = Arg_2-1
τ = 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2
n_evalwhile2bb1in___14
n_evalwhile2bb1in___14
n_evalwhile2bb1in___14->n_evalwhile2bb2in___13
t₁
η (Arg_2) = Arg_2-1
τ = Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1
n_evalwhile2bb2in___13->n_evalwhile2bb1in___12
t₂
τ = 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2
n_evalwhile2bb3in___11
n_evalwhile2bb3in___11
n_evalwhile2bb2in___13->n_evalwhile2bb3in___11
t₃
τ = 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && Arg_2<=0
n_evalwhile2bb2in___16
n_evalwhile2bb2in___16
n_evalwhile2bb2in___16->n_evalwhile2bb1in___14
t₄
τ = Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && 1<=Arg_2 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_0 && 1<=Arg_2 && 1<=Arg_2
n_evalwhile2bb2in___9
n_evalwhile2bb2in___9
n_evalwhile2bb2in___9->n_evalwhile2bb1in___14
t₆
τ = Arg_2<=Arg_1 && 2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_0 && 1<=Arg_2
n_evalwhile2bb4in___10
n_evalwhile2bb4in___10
n_evalwhile2bb3in___11->n_evalwhile2bb4in___10
t₈
η (Arg_0) = Arg_0-1
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && Arg_2<=0
n_evalwhile2bb4in___10->n_evalwhile2bb2in___9
t₁₀
η (Arg_2) = Arg_1
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0
n_evalwhile2returnin___8
n_evalwhile2returnin___8
n_evalwhile2bb4in___10->n_evalwhile2returnin___8
t₁₁
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0
n_evalwhile2bb4in___17
n_evalwhile2bb4in___17
n_evalwhile2bb4in___17->n_evalwhile2bb2in___16
t₁₂
η (Arg_2) = Arg_1
τ = Arg_1<=Arg_0 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && 1<=Arg_0
n_evalwhile2returnin___15
n_evalwhile2returnin___15
n_evalwhile2bb4in___17->n_evalwhile2returnin___15
t₁₃
τ = Arg_1<=Arg_0 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && Arg_0<=0
n_evalwhile2entryin___18
n_evalwhile2entryin___18
n_evalwhile2entryin___18->n_evalwhile2bb4in___17
t₁₆
η (Arg_0) = Arg_1
n_evalwhile2stop___1
n_evalwhile2stop___1
n_evalwhile2returnin___15->n_evalwhile2stop___1
t₁₇
τ = Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && Arg_0<=Arg_1 && Arg_0<=0 && Arg_0<=0 && Arg_0<=Arg_1 && Arg_1<=Arg_0
n_evalwhile2stop___2
n_evalwhile2stop___2
n_evalwhile2returnin___8->n_evalwhile2stop___2
t₁₉
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && Arg_0+Arg_2<=0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && Arg_0<=0
n_evalwhile2start
n_evalwhile2start
n_evalwhile2start->n_evalwhile2entryin___18
t₂₀
MPRF for transition 8:n_evalwhile2bb3in___11(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb4in___10(Arg_0-1,Arg_1,Arg_2):|:Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && Arg_2<=0 of depth 1:
new bound:
5*Arg_1*Arg_1+9*Arg_1 {O(n^2)}
MPRF:
n_evalwhile2bb1in___12 [Arg_1 ]
n_evalwhile2bb2in___13 [Arg_1 ]
n_evalwhile2bb2in___9 [5*Arg_1-8 ]
n_evalwhile2bb1in___14 [Arg_1 ]
n_evalwhile2bb3in___11 [Arg_1 ]
n_evalwhile2bb4in___10 [Arg_1-1 ]
Show Graph
G
n_evalwhile2bb1in___12
n_evalwhile2bb1in___12
n_evalwhile2bb2in___13
n_evalwhile2bb2in___13
n_evalwhile2bb1in___12->n_evalwhile2bb2in___13
t₀
η (Arg_2) = Arg_2-1
τ = 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2
n_evalwhile2bb1in___14
n_evalwhile2bb1in___14
n_evalwhile2bb1in___14->n_evalwhile2bb2in___13
t₁
η (Arg_2) = Arg_2-1
τ = Arg_2<=Arg_1 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1
n_evalwhile2bb2in___13->n_evalwhile2bb1in___12
t₂
τ = 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2
n_evalwhile2bb3in___11
n_evalwhile2bb3in___11
n_evalwhile2bb2in___13->n_evalwhile2bb3in___11
t₃
τ = 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && Arg_2<=0
n_evalwhile2bb2in___16
n_evalwhile2bb2in___16
n_evalwhile2bb2in___16->n_evalwhile2bb1in___14
t₄
τ = Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && 1<=Arg_2 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_0 && 1<=Arg_2 && 1<=Arg_2
n_evalwhile2bb2in___9
n_evalwhile2bb2in___9
n_evalwhile2bb2in___9->n_evalwhile2bb1in___14
t₆
τ = Arg_2<=Arg_1 && 2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_0 && 1<=Arg_2
n_evalwhile2bb4in___10
n_evalwhile2bb4in___10
n_evalwhile2bb3in___11->n_evalwhile2bb4in___10
t₈
η (Arg_0) = Arg_0-1
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && Arg_2<=0
n_evalwhile2bb4in___10->n_evalwhile2bb2in___9
t₁₀
η (Arg_2) = Arg_1
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0
n_evalwhile2returnin___8
n_evalwhile2returnin___8
n_evalwhile2bb4in___10->n_evalwhile2returnin___8
t₁₁
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0
n_evalwhile2bb4in___17
n_evalwhile2bb4in___17
n_evalwhile2bb4in___17->n_evalwhile2bb2in___16
t₁₂
η (Arg_2) = Arg_1
τ = Arg_1<=Arg_0 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && 1<=Arg_0
n_evalwhile2returnin___15
n_evalwhile2returnin___15
n_evalwhile2bb4in___17->n_evalwhile2returnin___15
t₁₃
τ = Arg_1<=Arg_0 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && Arg_0<=0
n_evalwhile2entryin___18
n_evalwhile2entryin___18
n_evalwhile2entryin___18->n_evalwhile2bb4in___17
t₁₆
η (Arg_0) = Arg_1
n_evalwhile2stop___1
n_evalwhile2stop___1
n_evalwhile2returnin___15->n_evalwhile2stop___1
t₁₇
τ = Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && Arg_0<=Arg_1 && Arg_0<=0 && Arg_0<=0 && Arg_0<=Arg_1 && Arg_1<=Arg_0
n_evalwhile2stop___2
n_evalwhile2stop___2
n_evalwhile2returnin___8->n_evalwhile2stop___2
t₁₉
τ = Arg_2<=0 && 1+Arg_2<=Arg_1 && Arg_0+Arg_2<=0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && Arg_0<=0
n_evalwhile2start
n_evalwhile2start
n_evalwhile2start->n_evalwhile2entryin___18
t₂₀
knowledge_propagation leads to new time bound Arg_1+1 {O(n)} for transition 8:n_evalwhile2bb3in___11(Arg_0,Arg_1,Arg_2) -> n_evalwhile2bb4in___10(Arg_0-1,Arg_1,Arg_2):|:Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=Arg_1 && Arg_2<=0
All Bounds
Timebounds
Overall timebound:2*Arg_1*Arg_1+7*Arg_1+10 {O(n^2)}
0: n_evalwhile2bb1in___12->n_evalwhile2bb2in___13: Arg_1*Arg_1+Arg_1 {O(n^2)}
1: n_evalwhile2bb1in___14->n_evalwhile2bb2in___13: Arg_1 {O(n)}
2: n_evalwhile2bb2in___13->n_evalwhile2bb1in___12: Arg_1*Arg_1+Arg_1 {O(n^2)}
3: n_evalwhile2bb2in___13->n_evalwhile2bb3in___11: Arg_1+1 {O(n)}
4: n_evalwhile2bb2in___16->n_evalwhile2bb1in___14: 1 {O(1)}
6: n_evalwhile2bb2in___9->n_evalwhile2bb1in___14: Arg_1 {O(n)}
8: n_evalwhile2bb3in___11->n_evalwhile2bb4in___10: Arg_1+1 {O(n)}
10: n_evalwhile2bb4in___10->n_evalwhile2bb2in___9: Arg_1 {O(n)}
11: n_evalwhile2bb4in___10->n_evalwhile2returnin___8: 1 {O(1)}
12: n_evalwhile2bb4in___17->n_evalwhile2bb2in___16: 1 {O(1)}
13: n_evalwhile2bb4in___17->n_evalwhile2returnin___15: 1 {O(1)}
16: n_evalwhile2entryin___18->n_evalwhile2bb4in___17: 1 {O(1)}
17: n_evalwhile2returnin___15->n_evalwhile2stop___1: 1 {O(1)}
19: n_evalwhile2returnin___8->n_evalwhile2stop___2: 1 {O(1)}
20: n_evalwhile2start->n_evalwhile2entryin___18: 1 {O(1)}
Costbounds
Overall costbound: 2*Arg_1*Arg_1+7*Arg_1+10 {O(n^2)}
0: n_evalwhile2bb1in___12->n_evalwhile2bb2in___13: Arg_1*Arg_1+Arg_1 {O(n^2)}
1: n_evalwhile2bb1in___14->n_evalwhile2bb2in___13: Arg_1 {O(n)}
2: n_evalwhile2bb2in___13->n_evalwhile2bb1in___12: Arg_1*Arg_1+Arg_1 {O(n^2)}
3: n_evalwhile2bb2in___13->n_evalwhile2bb3in___11: Arg_1+1 {O(n)}
4: n_evalwhile2bb2in___16->n_evalwhile2bb1in___14: 1 {O(1)}
6: n_evalwhile2bb2in___9->n_evalwhile2bb1in___14: Arg_1 {O(n)}
8: n_evalwhile2bb3in___11->n_evalwhile2bb4in___10: Arg_1+1 {O(n)}
10: n_evalwhile2bb4in___10->n_evalwhile2bb2in___9: Arg_1 {O(n)}
11: n_evalwhile2bb4in___10->n_evalwhile2returnin___8: 1 {O(1)}
12: n_evalwhile2bb4in___17->n_evalwhile2bb2in___16: 1 {O(1)}
13: n_evalwhile2bb4in___17->n_evalwhile2returnin___15: 1 {O(1)}
16: n_evalwhile2entryin___18->n_evalwhile2bb4in___17: 1 {O(1)}
17: n_evalwhile2returnin___15->n_evalwhile2stop___1: 1 {O(1)}
19: n_evalwhile2returnin___8->n_evalwhile2stop___2: 1 {O(1)}
20: n_evalwhile2start->n_evalwhile2entryin___18: 1 {O(1)}
Sizebounds
0: n_evalwhile2bb1in___12->n_evalwhile2bb2in___13, Arg_0: 2*Arg_1+1 {O(n)}
0: n_evalwhile2bb1in___12->n_evalwhile2bb2in___13, Arg_1: Arg_1 {O(n)}
0: n_evalwhile2bb1in___12->n_evalwhile2bb2in___13, Arg_2: 2*Arg_1 {O(n)}
1: n_evalwhile2bb1in___14->n_evalwhile2bb2in___13, Arg_0: 2*Arg_1+1 {O(n)}
1: n_evalwhile2bb1in___14->n_evalwhile2bb2in___13, Arg_1: Arg_1 {O(n)}
1: n_evalwhile2bb1in___14->n_evalwhile2bb2in___13, Arg_2: 2*Arg_1 {O(n)}
2: n_evalwhile2bb2in___13->n_evalwhile2bb1in___12, Arg_0: 2*Arg_1+1 {O(n)}
2: n_evalwhile2bb2in___13->n_evalwhile2bb1in___12, Arg_1: Arg_1 {O(n)}
2: n_evalwhile2bb2in___13->n_evalwhile2bb1in___12, Arg_2: 2*Arg_1 {O(n)}
3: n_evalwhile2bb2in___13->n_evalwhile2bb3in___11, Arg_0: 2*Arg_1+1 {O(n)}
3: n_evalwhile2bb2in___13->n_evalwhile2bb3in___11, Arg_1: Arg_1 {O(n)}
3: n_evalwhile2bb2in___13->n_evalwhile2bb3in___11, Arg_2: 0 {O(1)}
4: n_evalwhile2bb2in___16->n_evalwhile2bb1in___14, Arg_0: Arg_1 {O(n)}
4: n_evalwhile2bb2in___16->n_evalwhile2bb1in___14, Arg_1: Arg_1 {O(n)}
4: n_evalwhile2bb2in___16->n_evalwhile2bb1in___14, Arg_2: Arg_1 {O(n)}
6: n_evalwhile2bb2in___9->n_evalwhile2bb1in___14, Arg_0: 2*Arg_1+1 {O(n)}
6: n_evalwhile2bb2in___9->n_evalwhile2bb1in___14, Arg_1: Arg_1 {O(n)}
6: n_evalwhile2bb2in___9->n_evalwhile2bb1in___14, Arg_2: Arg_1 {O(n)}
8: n_evalwhile2bb3in___11->n_evalwhile2bb4in___10, Arg_0: 2*Arg_1+1 {O(n)}
8: n_evalwhile2bb3in___11->n_evalwhile2bb4in___10, Arg_1: Arg_1 {O(n)}
8: n_evalwhile2bb3in___11->n_evalwhile2bb4in___10, Arg_2: 0 {O(1)}
10: n_evalwhile2bb4in___10->n_evalwhile2bb2in___9, Arg_0: 2*Arg_1+1 {O(n)}
10: n_evalwhile2bb4in___10->n_evalwhile2bb2in___9, Arg_1: Arg_1 {O(n)}
10: n_evalwhile2bb4in___10->n_evalwhile2bb2in___9, Arg_2: Arg_1 {O(n)}
11: n_evalwhile2bb4in___10->n_evalwhile2returnin___8, Arg_0: 2*Arg_1+1 {O(n)}
11: n_evalwhile2bb4in___10->n_evalwhile2returnin___8, Arg_1: Arg_1 {O(n)}
11: n_evalwhile2bb4in___10->n_evalwhile2returnin___8, Arg_2: 0 {O(1)}
12: n_evalwhile2bb4in___17->n_evalwhile2bb2in___16, Arg_0: Arg_1 {O(n)}
12: n_evalwhile2bb4in___17->n_evalwhile2bb2in___16, Arg_1: Arg_1 {O(n)}
12: n_evalwhile2bb4in___17->n_evalwhile2bb2in___16, Arg_2: Arg_1 {O(n)}
13: n_evalwhile2bb4in___17->n_evalwhile2returnin___15, Arg_0: Arg_1 {O(n)}
13: n_evalwhile2bb4in___17->n_evalwhile2returnin___15, Arg_1: Arg_1 {O(n)}
13: n_evalwhile2bb4in___17->n_evalwhile2returnin___15, Arg_2: Arg_2 {O(n)}
16: n_evalwhile2entryin___18->n_evalwhile2bb4in___17, Arg_0: Arg_1 {O(n)}
16: n_evalwhile2entryin___18->n_evalwhile2bb4in___17, Arg_1: Arg_1 {O(n)}
16: n_evalwhile2entryin___18->n_evalwhile2bb4in___17, Arg_2: Arg_2 {O(n)}
17: n_evalwhile2returnin___15->n_evalwhile2stop___1, Arg_0: Arg_1 {O(n)}
17: n_evalwhile2returnin___15->n_evalwhile2stop___1, Arg_1: Arg_1 {O(n)}
17: n_evalwhile2returnin___15->n_evalwhile2stop___1, Arg_2: Arg_2 {O(n)}
19: n_evalwhile2returnin___8->n_evalwhile2stop___2, Arg_0: 2*Arg_1+1 {O(n)}
19: n_evalwhile2returnin___8->n_evalwhile2stop___2, Arg_1: Arg_1 {O(n)}
19: n_evalwhile2returnin___8->n_evalwhile2stop___2, Arg_2: 0 {O(1)}
20: n_evalwhile2start->n_evalwhile2entryin___18, Arg_0: Arg_0 {O(n)}
20: n_evalwhile2start->n_evalwhile2entryin___18, Arg_1: Arg_1 {O(n)}
20: n_evalwhile2start->n_evalwhile2entryin___18, Arg_2: Arg_2 {O(n)}