Initial Problem
Start: eval_ax_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5
Temp_Vars:
Locations: eval_ax_0, eval_ax_1, eval_ax_12, eval_ax_13, eval_ax_2, eval_ax_3, eval_ax_4, eval_ax_5, eval_ax_6, eval_ax_bb0_in, eval_ax_bb1_in, eval_ax_bb2_in, eval_ax_bb3_in, eval_ax_bb4_in, eval_ax_bb5_in, eval_ax_start, eval_ax_stop
Transitions:
2:eval_ax_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_ax_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)
3:eval_ax_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_ax_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)
14:eval_ax_12(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_ax_13(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)
15:eval_ax_13(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_ax_bb1_in(Arg_0,Arg_0,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_5<=1+Arg_2 && Arg_0+1<Arg_5
16:eval_ax_13(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_ax_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_2+1<Arg_5
17:eval_ax_13(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_ax_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_5<=1+Arg_0
4:eval_ax_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_ax_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)
5:eval_ax_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_ax_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)
6:eval_ax_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_ax_5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)
7:eval_ax_5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_ax_6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)
8:eval_ax_6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_ax_bb1_in(Arg_0,0,Arg_2,Arg_3,Arg_4,Arg_5)
1:eval_ax_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_ax_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)
9:eval_ax_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_ax_bb2_in(Arg_0,Arg_1,0,Arg_3,Arg_4,Arg_5)
10:eval_ax_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_ax_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_2+1<Arg_5
11:eval_ax_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_ax_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_5<=1+Arg_2
12:eval_ax_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_ax_bb2_in(Arg_0,Arg_1,Arg_2+1,Arg_3,Arg_4,Arg_5)
13:eval_ax_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_ax_12(Arg_1+1,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)
18:eval_ax_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_ax_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)
0:eval_ax_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_ax_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)
Show Graph
G
eval_ax_0
eval_ax_0
eval_ax_1
eval_ax_1
eval_ax_0->eval_ax_1
t₂
eval_ax_2
eval_ax_2
eval_ax_1->eval_ax_2
t₃
eval_ax_12
eval_ax_12
eval_ax_13
eval_ax_13
eval_ax_12->eval_ax_13
t₁₄
eval_ax_bb1_in
eval_ax_bb1_in
eval_ax_13->eval_ax_bb1_in
t₁₅
η (Arg_1) = Arg_0
τ = Arg_5<=1+Arg_2 && Arg_0+1<Arg_5
eval_ax_bb5_in
eval_ax_bb5_in
eval_ax_13->eval_ax_bb5_in
t₁₆
τ = Arg_2+1<Arg_5
eval_ax_13->eval_ax_bb5_in
t₁₇
τ = Arg_5<=1+Arg_0
eval_ax_3
eval_ax_3
eval_ax_2->eval_ax_3
t₄
eval_ax_4
eval_ax_4
eval_ax_3->eval_ax_4
t₅
eval_ax_5
eval_ax_5
eval_ax_4->eval_ax_5
t₆
eval_ax_6
eval_ax_6
eval_ax_5->eval_ax_6
t₇
eval_ax_6->eval_ax_bb1_in
t₈
η (Arg_1) = 0
eval_ax_bb0_in
eval_ax_bb0_in
eval_ax_bb0_in->eval_ax_0
t₁
eval_ax_bb2_in
eval_ax_bb2_in
eval_ax_bb1_in->eval_ax_bb2_in
t₉
η (Arg_2) = 0
eval_ax_bb3_in
eval_ax_bb3_in
eval_ax_bb2_in->eval_ax_bb3_in
t₁₀
τ = Arg_2+1<Arg_5
eval_ax_bb4_in
eval_ax_bb4_in
eval_ax_bb2_in->eval_ax_bb4_in
t₁₁
τ = Arg_5<=1+Arg_2
eval_ax_bb3_in->eval_ax_bb2_in
t₁₂
η (Arg_2) = Arg_2+1
eval_ax_bb4_in->eval_ax_12
t₁₃
η (Arg_0) = Arg_1+1
eval_ax_stop
eval_ax_stop
eval_ax_bb5_in->eval_ax_stop
t₁₈
eval_ax_start
eval_ax_start
eval_ax_start->eval_ax_bb0_in
t₀
Preprocessing
Eliminate variables {Arg_3,Arg_4} that do not contribute to the problem
Found invariant 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 for location eval_ax_bb2_in
Found invariant 2<=Arg_5 && 2<=Arg_2+Arg_5 && 2+Arg_2<=Arg_5 && 2<=Arg_1+Arg_5 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 for location eval_ax_bb3_in
Found invariant Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0 for location eval_ax_13
Found invariant Arg_5<=1+Arg_2 && Arg_5<=2+Arg_1 && Arg_5<=1+Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0 for location eval_ax_stop
Found invariant Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 for location eval_ax_bb4_in
Found invariant Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0 for location eval_ax_12
Found invariant Arg_5<=1+Arg_2 && Arg_5<=2+Arg_1 && Arg_5<=1+Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0 for location eval_ax_bb5_in
Found invariant 0<=Arg_1 for location eval_ax_bb1_in
Cut unsatisfiable transition 42: eval_ax_13->eval_ax_bb5_in
Problem after Preprocessing
Start: eval_ax_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_5
Temp_Vars:
Locations: eval_ax_0, eval_ax_1, eval_ax_12, eval_ax_13, eval_ax_2, eval_ax_3, eval_ax_4, eval_ax_5, eval_ax_6, eval_ax_bb0_in, eval_ax_bb1_in, eval_ax_bb2_in, eval_ax_bb3_in, eval_ax_bb4_in, eval_ax_bb5_in, eval_ax_start, eval_ax_stop
Transitions:
38:eval_ax_0(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_ax_1(Arg_0,Arg_1,Arg_2,Arg_5)
39:eval_ax_1(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_ax_2(Arg_0,Arg_1,Arg_2,Arg_5)
40:eval_ax_12(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_ax_13(Arg_0,Arg_1,Arg_2,Arg_5):|:Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0
41:eval_ax_13(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_ax_bb1_in(Arg_0,Arg_0,Arg_2,Arg_5):|:Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0 && Arg_5<=1+Arg_2 && Arg_0+1<Arg_5
43:eval_ax_13(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_ax_bb5_in(Arg_0,Arg_1,Arg_2,Arg_5):|:Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0 && Arg_5<=1+Arg_0
44:eval_ax_2(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_ax_3(Arg_0,Arg_1,Arg_2,Arg_5)
45:eval_ax_3(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_ax_4(Arg_0,Arg_1,Arg_2,Arg_5)
46:eval_ax_4(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_ax_5(Arg_0,Arg_1,Arg_2,Arg_5)
47:eval_ax_5(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_ax_6(Arg_0,Arg_1,Arg_2,Arg_5)
48:eval_ax_6(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_ax_bb1_in(Arg_0,0,Arg_2,Arg_5)
49:eval_ax_bb0_in(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_ax_0(Arg_0,Arg_1,Arg_2,Arg_5)
50:eval_ax_bb1_in(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_ax_bb2_in(Arg_0,Arg_1,0,Arg_5):|:0<=Arg_1
51:eval_ax_bb2_in(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_ax_bb3_in(Arg_0,Arg_1,Arg_2,Arg_5):|:0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_2+1<Arg_5
52:eval_ax_bb2_in(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_ax_bb4_in(Arg_0,Arg_1,Arg_2,Arg_5):|:0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_5<=1+Arg_2
53:eval_ax_bb3_in(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_ax_bb2_in(Arg_0,Arg_1,Arg_2+1,Arg_5):|:2<=Arg_5 && 2<=Arg_2+Arg_5 && 2+Arg_2<=Arg_5 && 2<=Arg_1+Arg_5 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1
54:eval_ax_bb4_in(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_ax_12(Arg_1+1,Arg_1,Arg_2,Arg_5):|:Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1
55:eval_ax_bb5_in(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_ax_stop(Arg_0,Arg_1,Arg_2,Arg_5):|:Arg_5<=1+Arg_2 && Arg_5<=2+Arg_1 && Arg_5<=1+Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0
56:eval_ax_start(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_ax_bb0_in(Arg_0,Arg_1,Arg_2,Arg_5)
Show Graph
G
eval_ax_0
eval_ax_0
eval_ax_1
eval_ax_1
eval_ax_0->eval_ax_1
t₃₈
eval_ax_2
eval_ax_2
eval_ax_1->eval_ax_2
t₃₉
eval_ax_12
eval_ax_12
eval_ax_13
eval_ax_13
eval_ax_12->eval_ax_13
t₄₀
τ = Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0
eval_ax_bb1_in
eval_ax_bb1_in
eval_ax_13->eval_ax_bb1_in
t₄₁
η (Arg_1) = Arg_0
τ = Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0 && Arg_5<=1+Arg_2 && Arg_0+1<Arg_5
eval_ax_bb5_in
eval_ax_bb5_in
eval_ax_13->eval_ax_bb5_in
t₄₃
τ = Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0 && Arg_5<=1+Arg_0
eval_ax_3
eval_ax_3
eval_ax_2->eval_ax_3
t₄₄
eval_ax_4
eval_ax_4
eval_ax_3->eval_ax_4
t₄₅
eval_ax_5
eval_ax_5
eval_ax_4->eval_ax_5
t₄₆
eval_ax_6
eval_ax_6
eval_ax_5->eval_ax_6
t₄₇
eval_ax_6->eval_ax_bb1_in
t₄₈
η (Arg_1) = 0
eval_ax_bb0_in
eval_ax_bb0_in
eval_ax_bb0_in->eval_ax_0
t₄₉
eval_ax_bb2_in
eval_ax_bb2_in
eval_ax_bb1_in->eval_ax_bb2_in
t₅₀
η (Arg_2) = 0
τ = 0<=Arg_1
eval_ax_bb3_in
eval_ax_bb3_in
eval_ax_bb2_in->eval_ax_bb3_in
t₅₁
τ = 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_2+1<Arg_5
eval_ax_bb4_in
eval_ax_bb4_in
eval_ax_bb2_in->eval_ax_bb4_in
t₅₂
τ = 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_5<=1+Arg_2
eval_ax_bb3_in->eval_ax_bb2_in
t₅₃
η (Arg_2) = Arg_2+1
τ = 2<=Arg_5 && 2<=Arg_2+Arg_5 && 2+Arg_2<=Arg_5 && 2<=Arg_1+Arg_5 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1
eval_ax_bb4_in->eval_ax_12
t₅₄
η (Arg_0) = Arg_1+1
τ = Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1
eval_ax_stop
eval_ax_stop
eval_ax_bb5_in->eval_ax_stop
t₅₅
τ = Arg_5<=1+Arg_2 && Arg_5<=2+Arg_1 && Arg_5<=1+Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0
eval_ax_start
eval_ax_start
eval_ax_start->eval_ax_bb0_in
t₅₆
MPRF for transition 41:eval_ax_13(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_ax_bb1_in(Arg_0,Arg_0,Arg_2,Arg_5):|:Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0 && Arg_5<=1+Arg_2 && Arg_0+1<Arg_5 of depth 1:
new bound:
Arg_5 {O(n)}
MPRF:
eval_ax_13 [Arg_5+1-Arg_0 ]
eval_ax_bb1_in [Arg_5-Arg_1 ]
eval_ax_bb3_in [Arg_5-Arg_1 ]
eval_ax_bb2_in [Arg_5-Arg_1 ]
eval_ax_bb4_in [Arg_5-Arg_1 ]
eval_ax_12 [Arg_5-Arg_1 ]
Show Graph
G
eval_ax_0
eval_ax_0
eval_ax_1
eval_ax_1
eval_ax_0->eval_ax_1
t₃₈
eval_ax_2
eval_ax_2
eval_ax_1->eval_ax_2
t₃₉
eval_ax_12
eval_ax_12
eval_ax_13
eval_ax_13
eval_ax_12->eval_ax_13
t₄₀
τ = Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0
eval_ax_bb1_in
eval_ax_bb1_in
eval_ax_13->eval_ax_bb1_in
t₄₁
η (Arg_1) = Arg_0
τ = Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0 && Arg_5<=1+Arg_2 && Arg_0+1<Arg_5
eval_ax_bb5_in
eval_ax_bb5_in
eval_ax_13->eval_ax_bb5_in
t₄₃
τ = Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0 && Arg_5<=1+Arg_0
eval_ax_3
eval_ax_3
eval_ax_2->eval_ax_3
t₄₄
eval_ax_4
eval_ax_4
eval_ax_3->eval_ax_4
t₄₅
eval_ax_5
eval_ax_5
eval_ax_4->eval_ax_5
t₄₆
eval_ax_6
eval_ax_6
eval_ax_5->eval_ax_6
t₄₇
eval_ax_6->eval_ax_bb1_in
t₄₈
η (Arg_1) = 0
eval_ax_bb0_in
eval_ax_bb0_in
eval_ax_bb0_in->eval_ax_0
t₄₉
eval_ax_bb2_in
eval_ax_bb2_in
eval_ax_bb1_in->eval_ax_bb2_in
t₅₀
η (Arg_2) = 0
τ = 0<=Arg_1
eval_ax_bb3_in
eval_ax_bb3_in
eval_ax_bb2_in->eval_ax_bb3_in
t₅₁
τ = 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_2+1<Arg_5
eval_ax_bb4_in
eval_ax_bb4_in
eval_ax_bb2_in->eval_ax_bb4_in
t₅₂
τ = 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_5<=1+Arg_2
eval_ax_bb3_in->eval_ax_bb2_in
t₅₃
η (Arg_2) = Arg_2+1
τ = 2<=Arg_5 && 2<=Arg_2+Arg_5 && 2+Arg_2<=Arg_5 && 2<=Arg_1+Arg_5 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1
eval_ax_bb4_in->eval_ax_12
t₅₄
η (Arg_0) = Arg_1+1
τ = Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1
eval_ax_stop
eval_ax_stop
eval_ax_bb5_in->eval_ax_stop
t₅₅
τ = Arg_5<=1+Arg_2 && Arg_5<=2+Arg_1 && Arg_5<=1+Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0
eval_ax_start
eval_ax_start
eval_ax_start->eval_ax_bb0_in
t₅₆
knowledge_propagation leads to new time bound Arg_5+1 {O(n)} for transition 50:eval_ax_bb1_in(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_ax_bb2_in(Arg_0,Arg_1,0,Arg_5):|:0<=Arg_1
MPRF for transition 40:eval_ax_12(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_ax_13(Arg_0,Arg_1,Arg_2,Arg_5):|:Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0 of depth 1:
new bound:
Arg_5+1 {O(n)}
MPRF:
eval_ax_13 [0 ]
eval_ax_bb1_in [0 ]
eval_ax_bb3_in [1 ]
eval_ax_bb2_in [1 ]
eval_ax_bb4_in [1 ]
eval_ax_12 [1 ]
Show Graph
G
eval_ax_0
eval_ax_0
eval_ax_1
eval_ax_1
eval_ax_0->eval_ax_1
t₃₈
eval_ax_2
eval_ax_2
eval_ax_1->eval_ax_2
t₃₉
eval_ax_12
eval_ax_12
eval_ax_13
eval_ax_13
eval_ax_12->eval_ax_13
t₄₀
τ = Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0
eval_ax_bb1_in
eval_ax_bb1_in
eval_ax_13->eval_ax_bb1_in
t₄₁
η (Arg_1) = Arg_0
τ = Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0 && Arg_5<=1+Arg_2 && Arg_0+1<Arg_5
eval_ax_bb5_in
eval_ax_bb5_in
eval_ax_13->eval_ax_bb5_in
t₄₃
τ = Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0 && Arg_5<=1+Arg_0
eval_ax_3
eval_ax_3
eval_ax_2->eval_ax_3
t₄₄
eval_ax_4
eval_ax_4
eval_ax_3->eval_ax_4
t₄₅
eval_ax_5
eval_ax_5
eval_ax_4->eval_ax_5
t₄₆
eval_ax_6
eval_ax_6
eval_ax_5->eval_ax_6
t₄₇
eval_ax_6->eval_ax_bb1_in
t₄₈
η (Arg_1) = 0
eval_ax_bb0_in
eval_ax_bb0_in
eval_ax_bb0_in->eval_ax_0
t₄₉
eval_ax_bb2_in
eval_ax_bb2_in
eval_ax_bb1_in->eval_ax_bb2_in
t₅₀
η (Arg_2) = 0
τ = 0<=Arg_1
eval_ax_bb3_in
eval_ax_bb3_in
eval_ax_bb2_in->eval_ax_bb3_in
t₅₁
τ = 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_2+1<Arg_5
eval_ax_bb4_in
eval_ax_bb4_in
eval_ax_bb2_in->eval_ax_bb4_in
t₅₂
τ = 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_5<=1+Arg_2
eval_ax_bb3_in->eval_ax_bb2_in
t₅₃
η (Arg_2) = Arg_2+1
τ = 2<=Arg_5 && 2<=Arg_2+Arg_5 && 2+Arg_2<=Arg_5 && 2<=Arg_1+Arg_5 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1
eval_ax_bb4_in->eval_ax_12
t₅₄
η (Arg_0) = Arg_1+1
τ = Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1
eval_ax_stop
eval_ax_stop
eval_ax_bb5_in->eval_ax_stop
t₅₅
τ = Arg_5<=1+Arg_2 && Arg_5<=2+Arg_1 && Arg_5<=1+Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0
eval_ax_start
eval_ax_start
eval_ax_start->eval_ax_bb0_in
t₅₆
MPRF for transition 51:eval_ax_bb2_in(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_ax_bb3_in(Arg_0,Arg_1,Arg_2,Arg_5):|:0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_2+1<Arg_5 of depth 1:
new bound:
Arg_5*Arg_5+2*Arg_5+1 {O(n^2)}
MPRF:
eval_ax_13 [Arg_5+1-Arg_0-Arg_2 ]
eval_ax_bb1_in [Arg_5+1-Arg_1-Arg_2 ]
eval_ax_bb3_in [Arg_5-Arg_2 ]
eval_ax_bb2_in [Arg_5+1-Arg_2 ]
eval_ax_bb4_in [Arg_5-Arg_2 ]
eval_ax_12 [Arg_5-Arg_2 ]
Show Graph
G
eval_ax_0
eval_ax_0
eval_ax_1
eval_ax_1
eval_ax_0->eval_ax_1
t₃₈
eval_ax_2
eval_ax_2
eval_ax_1->eval_ax_2
t₃₉
eval_ax_12
eval_ax_12
eval_ax_13
eval_ax_13
eval_ax_12->eval_ax_13
t₄₀
τ = Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0
eval_ax_bb1_in
eval_ax_bb1_in
eval_ax_13->eval_ax_bb1_in
t₄₁
η (Arg_1) = Arg_0
τ = Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0 && Arg_5<=1+Arg_2 && Arg_0+1<Arg_5
eval_ax_bb5_in
eval_ax_bb5_in
eval_ax_13->eval_ax_bb5_in
t₄₃
τ = Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0 && Arg_5<=1+Arg_0
eval_ax_3
eval_ax_3
eval_ax_2->eval_ax_3
t₄₄
eval_ax_4
eval_ax_4
eval_ax_3->eval_ax_4
t₄₅
eval_ax_5
eval_ax_5
eval_ax_4->eval_ax_5
t₄₆
eval_ax_6
eval_ax_6
eval_ax_5->eval_ax_6
t₄₇
eval_ax_6->eval_ax_bb1_in
t₄₈
η (Arg_1) = 0
eval_ax_bb0_in
eval_ax_bb0_in
eval_ax_bb0_in->eval_ax_0
t₄₉
eval_ax_bb2_in
eval_ax_bb2_in
eval_ax_bb1_in->eval_ax_bb2_in
t₅₀
η (Arg_2) = 0
τ = 0<=Arg_1
eval_ax_bb3_in
eval_ax_bb3_in
eval_ax_bb2_in->eval_ax_bb3_in
t₅₁
τ = 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_2+1<Arg_5
eval_ax_bb4_in
eval_ax_bb4_in
eval_ax_bb2_in->eval_ax_bb4_in
t₅₂
τ = 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_5<=1+Arg_2
eval_ax_bb3_in->eval_ax_bb2_in
t₅₃
η (Arg_2) = Arg_2+1
τ = 2<=Arg_5 && 2<=Arg_2+Arg_5 && 2+Arg_2<=Arg_5 && 2<=Arg_1+Arg_5 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1
eval_ax_bb4_in->eval_ax_12
t₅₄
η (Arg_0) = Arg_1+1
τ = Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1
eval_ax_stop
eval_ax_stop
eval_ax_bb5_in->eval_ax_stop
t₅₅
τ = Arg_5<=1+Arg_2 && Arg_5<=2+Arg_1 && Arg_5<=1+Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0
eval_ax_start
eval_ax_start
eval_ax_start->eval_ax_bb0_in
t₅₆
MPRF for transition 52:eval_ax_bb2_in(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_ax_bb4_in(Arg_0,Arg_1,Arg_2,Arg_5):|:0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_5<=1+Arg_2 of depth 1:
new bound:
Arg_5+1 {O(n)}
MPRF:
eval_ax_13 [Arg_0-Arg_1-1 ]
eval_ax_bb1_in [0 ]
eval_ax_bb3_in [1 ]
eval_ax_bb2_in [1 ]
eval_ax_bb4_in [0 ]
eval_ax_12 [Arg_0-Arg_1-1 ]
Show Graph
G
eval_ax_0
eval_ax_0
eval_ax_1
eval_ax_1
eval_ax_0->eval_ax_1
t₃₈
eval_ax_2
eval_ax_2
eval_ax_1->eval_ax_2
t₃₉
eval_ax_12
eval_ax_12
eval_ax_13
eval_ax_13
eval_ax_12->eval_ax_13
t₄₀
τ = Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0
eval_ax_bb1_in
eval_ax_bb1_in
eval_ax_13->eval_ax_bb1_in
t₄₁
η (Arg_1) = Arg_0
τ = Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0 && Arg_5<=1+Arg_2 && Arg_0+1<Arg_5
eval_ax_bb5_in
eval_ax_bb5_in
eval_ax_13->eval_ax_bb5_in
t₄₃
τ = Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0 && Arg_5<=1+Arg_0
eval_ax_3
eval_ax_3
eval_ax_2->eval_ax_3
t₄₄
eval_ax_4
eval_ax_4
eval_ax_3->eval_ax_4
t₄₅
eval_ax_5
eval_ax_5
eval_ax_4->eval_ax_5
t₄₆
eval_ax_6
eval_ax_6
eval_ax_5->eval_ax_6
t₄₇
eval_ax_6->eval_ax_bb1_in
t₄₈
η (Arg_1) = 0
eval_ax_bb0_in
eval_ax_bb0_in
eval_ax_bb0_in->eval_ax_0
t₄₉
eval_ax_bb2_in
eval_ax_bb2_in
eval_ax_bb1_in->eval_ax_bb2_in
t₅₀
η (Arg_2) = 0
τ = 0<=Arg_1
eval_ax_bb3_in
eval_ax_bb3_in
eval_ax_bb2_in->eval_ax_bb3_in
t₅₁
τ = 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_2+1<Arg_5
eval_ax_bb4_in
eval_ax_bb4_in
eval_ax_bb2_in->eval_ax_bb4_in
t₅₂
τ = 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_5<=1+Arg_2
eval_ax_bb3_in->eval_ax_bb2_in
t₅₃
η (Arg_2) = Arg_2+1
τ = 2<=Arg_5 && 2<=Arg_2+Arg_5 && 2+Arg_2<=Arg_5 && 2<=Arg_1+Arg_5 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1
eval_ax_bb4_in->eval_ax_12
t₅₄
η (Arg_0) = Arg_1+1
τ = Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1
eval_ax_stop
eval_ax_stop
eval_ax_bb5_in->eval_ax_stop
t₅₅
τ = Arg_5<=1+Arg_2 && Arg_5<=2+Arg_1 && Arg_5<=1+Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0
eval_ax_start
eval_ax_start
eval_ax_start->eval_ax_bb0_in
t₅₆
MPRF for transition 53:eval_ax_bb3_in(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_ax_bb2_in(Arg_0,Arg_1,Arg_2+1,Arg_5):|:2<=Arg_5 && 2<=Arg_2+Arg_5 && 2+Arg_2<=Arg_5 && 2<=Arg_1+Arg_5 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 of depth 1:
new bound:
Arg_5*Arg_5+Arg_5 {O(n^2)}
MPRF:
eval_ax_13 [Arg_5-Arg_2 ]
eval_ax_bb1_in [Arg_5-Arg_2 ]
eval_ax_bb3_in [Arg_5-Arg_2 ]
eval_ax_bb2_in [Arg_5-Arg_2 ]
eval_ax_bb4_in [Arg_5-Arg_2 ]
eval_ax_12 [Arg_5-Arg_2 ]
Show Graph
G
eval_ax_0
eval_ax_0
eval_ax_1
eval_ax_1
eval_ax_0->eval_ax_1
t₃₈
eval_ax_2
eval_ax_2
eval_ax_1->eval_ax_2
t₃₉
eval_ax_12
eval_ax_12
eval_ax_13
eval_ax_13
eval_ax_12->eval_ax_13
t₄₀
τ = Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0
eval_ax_bb1_in
eval_ax_bb1_in
eval_ax_13->eval_ax_bb1_in
t₄₁
η (Arg_1) = Arg_0
τ = Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0 && Arg_5<=1+Arg_2 && Arg_0+1<Arg_5
eval_ax_bb5_in
eval_ax_bb5_in
eval_ax_13->eval_ax_bb5_in
t₄₃
τ = Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0 && Arg_5<=1+Arg_0
eval_ax_3
eval_ax_3
eval_ax_2->eval_ax_3
t₄₄
eval_ax_4
eval_ax_4
eval_ax_3->eval_ax_4
t₄₅
eval_ax_5
eval_ax_5
eval_ax_4->eval_ax_5
t₄₆
eval_ax_6
eval_ax_6
eval_ax_5->eval_ax_6
t₄₇
eval_ax_6->eval_ax_bb1_in
t₄₈
η (Arg_1) = 0
eval_ax_bb0_in
eval_ax_bb0_in
eval_ax_bb0_in->eval_ax_0
t₄₉
eval_ax_bb2_in
eval_ax_bb2_in
eval_ax_bb1_in->eval_ax_bb2_in
t₅₀
η (Arg_2) = 0
τ = 0<=Arg_1
eval_ax_bb3_in
eval_ax_bb3_in
eval_ax_bb2_in->eval_ax_bb3_in
t₅₁
τ = 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_2+1<Arg_5
eval_ax_bb4_in
eval_ax_bb4_in
eval_ax_bb2_in->eval_ax_bb4_in
t₅₂
τ = 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_5<=1+Arg_2
eval_ax_bb3_in->eval_ax_bb2_in
t₅₃
η (Arg_2) = Arg_2+1
τ = 2<=Arg_5 && 2<=Arg_2+Arg_5 && 2+Arg_2<=Arg_5 && 2<=Arg_1+Arg_5 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1
eval_ax_bb4_in->eval_ax_12
t₅₄
η (Arg_0) = Arg_1+1
τ = Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1
eval_ax_stop
eval_ax_stop
eval_ax_bb5_in->eval_ax_stop
t₅₅
τ = Arg_5<=1+Arg_2 && Arg_5<=2+Arg_1 && Arg_5<=1+Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0
eval_ax_start
eval_ax_start
eval_ax_start->eval_ax_bb0_in
t₅₆
MPRF for transition 54:eval_ax_bb4_in(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_ax_12(Arg_1+1,Arg_1,Arg_2,Arg_5):|:Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 of depth 1:
new bound:
2*Arg_5+2 {O(n)}
MPRF:
eval_ax_13 [Arg_1+2-Arg_0 ]
eval_ax_bb1_in [1 ]
eval_ax_bb3_in [2 ]
eval_ax_bb2_in [2 ]
eval_ax_bb4_in [2 ]
eval_ax_12 [1 ]
Show Graph
G
eval_ax_0
eval_ax_0
eval_ax_1
eval_ax_1
eval_ax_0->eval_ax_1
t₃₈
eval_ax_2
eval_ax_2
eval_ax_1->eval_ax_2
t₃₉
eval_ax_12
eval_ax_12
eval_ax_13
eval_ax_13
eval_ax_12->eval_ax_13
t₄₀
τ = Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0
eval_ax_bb1_in
eval_ax_bb1_in
eval_ax_13->eval_ax_bb1_in
t₄₁
η (Arg_1) = Arg_0
τ = Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0 && Arg_5<=1+Arg_2 && Arg_0+1<Arg_5
eval_ax_bb5_in
eval_ax_bb5_in
eval_ax_13->eval_ax_bb5_in
t₄₃
τ = Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0 && Arg_5<=1+Arg_0
eval_ax_3
eval_ax_3
eval_ax_2->eval_ax_3
t₄₄
eval_ax_4
eval_ax_4
eval_ax_3->eval_ax_4
t₄₅
eval_ax_5
eval_ax_5
eval_ax_4->eval_ax_5
t₄₆
eval_ax_6
eval_ax_6
eval_ax_5->eval_ax_6
t₄₇
eval_ax_6->eval_ax_bb1_in
t₄₈
η (Arg_1) = 0
eval_ax_bb0_in
eval_ax_bb0_in
eval_ax_bb0_in->eval_ax_0
t₄₉
eval_ax_bb2_in
eval_ax_bb2_in
eval_ax_bb1_in->eval_ax_bb2_in
t₅₀
η (Arg_2) = 0
τ = 0<=Arg_1
eval_ax_bb3_in
eval_ax_bb3_in
eval_ax_bb2_in->eval_ax_bb3_in
t₅₁
τ = 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_2+1<Arg_5
eval_ax_bb4_in
eval_ax_bb4_in
eval_ax_bb2_in->eval_ax_bb4_in
t₅₂
τ = 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_5<=1+Arg_2
eval_ax_bb3_in->eval_ax_bb2_in
t₅₃
η (Arg_2) = Arg_2+1
τ = 2<=Arg_5 && 2<=Arg_2+Arg_5 && 2+Arg_2<=Arg_5 && 2<=Arg_1+Arg_5 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1
eval_ax_bb4_in->eval_ax_12
t₅₄
η (Arg_0) = Arg_1+1
τ = Arg_5<=1+Arg_2 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1
eval_ax_stop
eval_ax_stop
eval_ax_bb5_in->eval_ax_stop
t₅₅
τ = Arg_5<=1+Arg_2 && Arg_5<=2+Arg_1 && Arg_5<=1+Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 1<=Arg_0
eval_ax_start
eval_ax_start
eval_ax_start->eval_ax_bb0_in
t₅₆
All Bounds
Timebounds
Overall timebound:2*Arg_5*Arg_5+9*Arg_5+17 {O(n^2)}
38: eval_ax_0->eval_ax_1: 1 {O(1)}
39: eval_ax_1->eval_ax_2: 1 {O(1)}
40: eval_ax_12->eval_ax_13: Arg_5+1 {O(n)}
41: eval_ax_13->eval_ax_bb1_in: Arg_5 {O(n)}
43: eval_ax_13->eval_ax_bb5_in: 1 {O(1)}
44: eval_ax_2->eval_ax_3: 1 {O(1)}
45: eval_ax_3->eval_ax_4: 1 {O(1)}
46: eval_ax_4->eval_ax_5: 1 {O(1)}
47: eval_ax_5->eval_ax_6: 1 {O(1)}
48: eval_ax_6->eval_ax_bb1_in: 1 {O(1)}
49: eval_ax_bb0_in->eval_ax_0: 1 {O(1)}
50: eval_ax_bb1_in->eval_ax_bb2_in: Arg_5+1 {O(n)}
51: eval_ax_bb2_in->eval_ax_bb3_in: Arg_5*Arg_5+2*Arg_5+1 {O(n^2)}
52: eval_ax_bb2_in->eval_ax_bb4_in: Arg_5+1 {O(n)}
53: eval_ax_bb3_in->eval_ax_bb2_in: Arg_5*Arg_5+Arg_5 {O(n^2)}
54: eval_ax_bb4_in->eval_ax_12: 2*Arg_5+2 {O(n)}
55: eval_ax_bb5_in->eval_ax_stop: 1 {O(1)}
56: eval_ax_start->eval_ax_bb0_in: 1 {O(1)}
Costbounds
Overall costbound: 2*Arg_5*Arg_5+9*Arg_5+17 {O(n^2)}
38: eval_ax_0->eval_ax_1: 1 {O(1)}
39: eval_ax_1->eval_ax_2: 1 {O(1)}
40: eval_ax_12->eval_ax_13: Arg_5+1 {O(n)}
41: eval_ax_13->eval_ax_bb1_in: Arg_5 {O(n)}
43: eval_ax_13->eval_ax_bb5_in: 1 {O(1)}
44: eval_ax_2->eval_ax_3: 1 {O(1)}
45: eval_ax_3->eval_ax_4: 1 {O(1)}
46: eval_ax_4->eval_ax_5: 1 {O(1)}
47: eval_ax_5->eval_ax_6: 1 {O(1)}
48: eval_ax_6->eval_ax_bb1_in: 1 {O(1)}
49: eval_ax_bb0_in->eval_ax_0: 1 {O(1)}
50: eval_ax_bb1_in->eval_ax_bb2_in: Arg_5+1 {O(n)}
51: eval_ax_bb2_in->eval_ax_bb3_in: Arg_5*Arg_5+2*Arg_5+1 {O(n^2)}
52: eval_ax_bb2_in->eval_ax_bb4_in: Arg_5+1 {O(n)}
53: eval_ax_bb3_in->eval_ax_bb2_in: Arg_5*Arg_5+Arg_5 {O(n^2)}
54: eval_ax_bb4_in->eval_ax_12: 2*Arg_5+2 {O(n)}
55: eval_ax_bb5_in->eval_ax_stop: 1 {O(1)}
56: eval_ax_start->eval_ax_bb0_in: 1 {O(1)}
Sizebounds
38: eval_ax_0->eval_ax_1, Arg_0: Arg_0 {O(n)}
38: eval_ax_0->eval_ax_1, Arg_1: Arg_1 {O(n)}
38: eval_ax_0->eval_ax_1, Arg_2: Arg_2 {O(n)}
38: eval_ax_0->eval_ax_1, Arg_5: Arg_5 {O(n)}
39: eval_ax_1->eval_ax_2, Arg_0: Arg_0 {O(n)}
39: eval_ax_1->eval_ax_2, Arg_1: Arg_1 {O(n)}
39: eval_ax_1->eval_ax_2, Arg_2: Arg_2 {O(n)}
39: eval_ax_1->eval_ax_2, Arg_5: Arg_5 {O(n)}
40: eval_ax_12->eval_ax_13, Arg_0: 2*Arg_5+2 {O(n)}
40: eval_ax_12->eval_ax_13, Arg_1: 2*Arg_5+2 {O(n)}
40: eval_ax_12->eval_ax_13, Arg_2: Arg_5*Arg_5+Arg_5 {O(n^2)}
40: eval_ax_12->eval_ax_13, Arg_5: Arg_5 {O(n)}
41: eval_ax_13->eval_ax_bb1_in, Arg_0: 2*Arg_5+2 {O(n)}
41: eval_ax_13->eval_ax_bb1_in, Arg_1: 2*Arg_5+2 {O(n)}
41: eval_ax_13->eval_ax_bb1_in, Arg_2: Arg_5*Arg_5+Arg_5 {O(n^2)}
41: eval_ax_13->eval_ax_bb1_in, Arg_5: Arg_5 {O(n)}
43: eval_ax_13->eval_ax_bb5_in, Arg_0: 2*Arg_5+2 {O(n)}
43: eval_ax_13->eval_ax_bb5_in, Arg_1: 2*Arg_5+2 {O(n)}
43: eval_ax_13->eval_ax_bb5_in, Arg_2: Arg_5*Arg_5+Arg_5 {O(n^2)}
43: eval_ax_13->eval_ax_bb5_in, Arg_5: Arg_5 {O(n)}
44: eval_ax_2->eval_ax_3, Arg_0: Arg_0 {O(n)}
44: eval_ax_2->eval_ax_3, Arg_1: Arg_1 {O(n)}
44: eval_ax_2->eval_ax_3, Arg_2: Arg_2 {O(n)}
44: eval_ax_2->eval_ax_3, Arg_5: Arg_5 {O(n)}
45: eval_ax_3->eval_ax_4, Arg_0: Arg_0 {O(n)}
45: eval_ax_3->eval_ax_4, Arg_1: Arg_1 {O(n)}
45: eval_ax_3->eval_ax_4, Arg_2: Arg_2 {O(n)}
45: eval_ax_3->eval_ax_4, Arg_5: Arg_5 {O(n)}
46: eval_ax_4->eval_ax_5, Arg_0: Arg_0 {O(n)}
46: eval_ax_4->eval_ax_5, Arg_1: Arg_1 {O(n)}
46: eval_ax_4->eval_ax_5, Arg_2: Arg_2 {O(n)}
46: eval_ax_4->eval_ax_5, Arg_5: Arg_5 {O(n)}
47: eval_ax_5->eval_ax_6, Arg_0: Arg_0 {O(n)}
47: eval_ax_5->eval_ax_6, Arg_1: Arg_1 {O(n)}
47: eval_ax_5->eval_ax_6, Arg_2: Arg_2 {O(n)}
47: eval_ax_5->eval_ax_6, Arg_5: Arg_5 {O(n)}
48: eval_ax_6->eval_ax_bb1_in, Arg_0: Arg_0 {O(n)}
48: eval_ax_6->eval_ax_bb1_in, Arg_1: 0 {O(1)}
48: eval_ax_6->eval_ax_bb1_in, Arg_2: Arg_2 {O(n)}
48: eval_ax_6->eval_ax_bb1_in, Arg_5: Arg_5 {O(n)}
49: eval_ax_bb0_in->eval_ax_0, Arg_0: Arg_0 {O(n)}
49: eval_ax_bb0_in->eval_ax_0, Arg_1: Arg_1 {O(n)}
49: eval_ax_bb0_in->eval_ax_0, Arg_2: Arg_2 {O(n)}
49: eval_ax_bb0_in->eval_ax_0, Arg_5: Arg_5 {O(n)}
50: eval_ax_bb1_in->eval_ax_bb2_in, Arg_0: 2*Arg_5+Arg_0+2 {O(n)}
50: eval_ax_bb1_in->eval_ax_bb2_in, Arg_1: 2*Arg_5+2 {O(n)}
50: eval_ax_bb1_in->eval_ax_bb2_in, Arg_2: 0 {O(1)}
50: eval_ax_bb1_in->eval_ax_bb2_in, Arg_5: Arg_5 {O(n)}
51: eval_ax_bb2_in->eval_ax_bb3_in, Arg_0: 2*Arg_5+Arg_0+2 {O(n)}
51: eval_ax_bb2_in->eval_ax_bb3_in, Arg_1: 2*Arg_5+2 {O(n)}
51: eval_ax_bb2_in->eval_ax_bb3_in, Arg_2: Arg_5*Arg_5+Arg_5 {O(n^2)}
51: eval_ax_bb2_in->eval_ax_bb3_in, Arg_5: Arg_5 {O(n)}
52: eval_ax_bb2_in->eval_ax_bb4_in, Arg_0: 2*Arg_0+4*Arg_5+4 {O(n)}
52: eval_ax_bb2_in->eval_ax_bb4_in, Arg_1: 2*Arg_5+2 {O(n)}
52: eval_ax_bb2_in->eval_ax_bb4_in, Arg_2: Arg_5*Arg_5+Arg_5 {O(n^2)}
52: eval_ax_bb2_in->eval_ax_bb4_in, Arg_5: Arg_5 {O(n)}
53: eval_ax_bb3_in->eval_ax_bb2_in, Arg_0: 2*Arg_5+Arg_0+2 {O(n)}
53: eval_ax_bb3_in->eval_ax_bb2_in, Arg_1: 2*Arg_5+2 {O(n)}
53: eval_ax_bb3_in->eval_ax_bb2_in, Arg_2: Arg_5*Arg_5+Arg_5 {O(n^2)}
53: eval_ax_bb3_in->eval_ax_bb2_in, Arg_5: Arg_5 {O(n)}
54: eval_ax_bb4_in->eval_ax_12, Arg_0: 2*Arg_5+2 {O(n)}
54: eval_ax_bb4_in->eval_ax_12, Arg_1: 2*Arg_5+2 {O(n)}
54: eval_ax_bb4_in->eval_ax_12, Arg_2: Arg_5*Arg_5+Arg_5 {O(n^2)}
54: eval_ax_bb4_in->eval_ax_12, Arg_5: Arg_5 {O(n)}
55: eval_ax_bb5_in->eval_ax_stop, Arg_0: 2*Arg_5+2 {O(n)}
55: eval_ax_bb5_in->eval_ax_stop, Arg_1: 2*Arg_5+2 {O(n)}
55: eval_ax_bb5_in->eval_ax_stop, Arg_2: Arg_5*Arg_5+Arg_5 {O(n^2)}
55: eval_ax_bb5_in->eval_ax_stop, Arg_5: Arg_5 {O(n)}
56: eval_ax_start->eval_ax_bb0_in, Arg_0: Arg_0 {O(n)}
56: eval_ax_start->eval_ax_bb0_in, Arg_1: Arg_1 {O(n)}
56: eval_ax_start->eval_ax_bb0_in, Arg_2: Arg_2 {O(n)}
56: eval_ax_start->eval_ax_bb0_in, Arg_5: Arg_5 {O(n)}