Initial Problem
Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_bb4_in, eval_foo_bb5_in, eval_foo_bb6_in, eval_foo_bb7_in, eval_foo_start, eval_foo_stop
Transitions:
1:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_4,Arg_5,Arg_2,Arg_3,Arg_4,Arg_5)
2:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:0<Arg_0 && 0<Arg_1
3:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_0<=0
4:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_1<=0
5:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_0,Arg_3,Arg_4,Arg_5):|:Arg_1<Arg_0
6:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_1,Arg_4,Arg_5):|:Arg_0<=Arg_1
8:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_2,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_2<=0
7:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:0<Arg_2
9:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2-1,Arg_3,Arg_4,Arg_5)
11:eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_0,Arg_3,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_3<=0
10:eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:0<Arg_3
12:eval_foo_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3-1,Arg_4,Arg_5)
13:eval_foo_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)
0:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)
Show Graph
G
eval_foo_bb0_in
eval_foo_bb0_in
eval_foo_bb1_in
eval_foo_bb1_in
eval_foo_bb0_in->eval_foo_bb1_in
t₁
η (Arg_0) = Arg_4
η (Arg_1) = Arg_5
eval_foo_bb2_in
eval_foo_bb2_in
eval_foo_bb1_in->eval_foo_bb2_in
t₂
τ = 0<Arg_0 && 0<Arg_1
eval_foo_bb7_in
eval_foo_bb7_in
eval_foo_bb1_in->eval_foo_bb7_in
t₃
τ = Arg_0<=0
eval_foo_bb1_in->eval_foo_bb7_in
t₄
τ = Arg_1<=0
eval_foo_bb3_in
eval_foo_bb3_in
eval_foo_bb2_in->eval_foo_bb3_in
t₅
η (Arg_2) = Arg_0
τ = Arg_1<Arg_0
eval_foo_bb5_in
eval_foo_bb5_in
eval_foo_bb2_in->eval_foo_bb5_in
t₆
η (Arg_3) = Arg_1
τ = Arg_0<=Arg_1
eval_foo_bb3_in->eval_foo_bb1_in
t₈
η (Arg_0) = Arg_2
τ = Arg_2<=0
eval_foo_bb4_in
eval_foo_bb4_in
eval_foo_bb3_in->eval_foo_bb4_in
t₇
τ = 0<Arg_2
eval_foo_bb4_in->eval_foo_bb3_in
t₉
η (Arg_2) = Arg_2-1
eval_foo_bb5_in->eval_foo_bb1_in
t₁₁
η (Arg_1) = Arg_3
τ = Arg_3<=0
eval_foo_bb6_in
eval_foo_bb6_in
eval_foo_bb5_in->eval_foo_bb6_in
t₁₀
τ = 0<Arg_3
eval_foo_bb6_in->eval_foo_bb5_in
t₁₂
η (Arg_3) = Arg_3-1
eval_foo_stop
eval_foo_stop
eval_foo_bb7_in->eval_foo_stop
t₁₃
eval_foo_start
eval_foo_start
eval_foo_start->eval_foo_bb0_in
t₀
Preprocessing
Found invariant 1<=Arg_5 && 2<=Arg_4+Arg_5 && 1<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 for location eval_foo_bb5_in
Found invariant Arg_1<=Arg_5 && Arg_0<=Arg_4 for location eval_foo_bb7_in
Found invariant Arg_1<=Arg_5 && Arg_0<=Arg_4 for location eval_foo_stop
Found invariant 1<=Arg_5 && 3<=Arg_4+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 2<=Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location eval_foo_bb3_in
Found invariant 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location eval_foo_bb2_in
Found invariant Arg_1<=Arg_5 && Arg_0<=Arg_4 for location eval_foo_bb1_in
Found invariant 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_1+Arg_3 && 2<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 for location eval_foo_bb6_in
Found invariant 1<=Arg_5 && 3<=Arg_4+Arg_5 && 2<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 2<=Arg_4 && 3<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location eval_foo_bb4_in
Problem after Preprocessing
Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_bb4_in, eval_foo_bb5_in, eval_foo_bb6_in, eval_foo_bb7_in, eval_foo_start, eval_foo_stop
Transitions:
1:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_4,Arg_5,Arg_2,Arg_3,Arg_4,Arg_5)
2:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_1<=Arg_5 && Arg_0<=Arg_4 && 0<Arg_0 && 0<Arg_1
3:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_1<=Arg_5 && Arg_0<=Arg_4 && Arg_0<=0
4:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_1<=Arg_5 && Arg_0<=Arg_4 && Arg_1<=0
5:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_0,Arg_3,Arg_4,Arg_5):|:1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<Arg_0
6:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_1,Arg_4,Arg_5):|:1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0<=Arg_1
8:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_2,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:1<=Arg_5 && 3<=Arg_4+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 2<=Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<=0
7:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:1<=Arg_5 && 3<=Arg_4+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 2<=Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 0<Arg_2
9:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2-1,Arg_3,Arg_4,Arg_5):|:1<=Arg_5 && 3<=Arg_4+Arg_5 && 2<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 2<=Arg_4 && 3<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0
11:eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_0,Arg_3,Arg_2,Arg_3,Arg_4,Arg_5):|:1<=Arg_5 && 2<=Arg_4+Arg_5 && 1<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_3<=0
10:eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:1<=Arg_5 && 2<=Arg_4+Arg_5 && 1<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && 0<Arg_3
12:eval_foo_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3-1,Arg_4,Arg_5):|:1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_1+Arg_3 && 2<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0
13:eval_foo_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_1<=Arg_5 && Arg_0<=Arg_4
0:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)
Show Graph
G
eval_foo_bb0_in
eval_foo_bb0_in
eval_foo_bb1_in
eval_foo_bb1_in
eval_foo_bb0_in->eval_foo_bb1_in
t₁
η (Arg_0) = Arg_4
η (Arg_1) = Arg_5
eval_foo_bb2_in
eval_foo_bb2_in
eval_foo_bb1_in->eval_foo_bb2_in
t₂
τ = Arg_1<=Arg_5 && Arg_0<=Arg_4 && 0<Arg_0 && 0<Arg_1
eval_foo_bb7_in
eval_foo_bb7_in
eval_foo_bb1_in->eval_foo_bb7_in
t₃
τ = Arg_1<=Arg_5 && Arg_0<=Arg_4 && Arg_0<=0
eval_foo_bb1_in->eval_foo_bb7_in
t₄
τ = Arg_1<=Arg_5 && Arg_0<=Arg_4 && Arg_1<=0
eval_foo_bb3_in
eval_foo_bb3_in
eval_foo_bb2_in->eval_foo_bb3_in
t₅
η (Arg_2) = Arg_0
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<Arg_0
eval_foo_bb5_in
eval_foo_bb5_in
eval_foo_bb2_in->eval_foo_bb5_in
t₆
η (Arg_3) = Arg_1
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0<=Arg_1
eval_foo_bb3_in->eval_foo_bb1_in
t₈
η (Arg_0) = Arg_2
τ = 1<=Arg_5 && 3<=Arg_4+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 2<=Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<=0
eval_foo_bb4_in
eval_foo_bb4_in
eval_foo_bb3_in->eval_foo_bb4_in
t₇
τ = 1<=Arg_5 && 3<=Arg_4+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 2<=Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 0<Arg_2
eval_foo_bb4_in->eval_foo_bb3_in
t₉
η (Arg_2) = Arg_2-1
τ = 1<=Arg_5 && 3<=Arg_4+Arg_5 && 2<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 2<=Arg_4 && 3<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0
eval_foo_bb5_in->eval_foo_bb1_in
t₁₁
η (Arg_1) = Arg_3
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 1<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_3<=0
eval_foo_bb6_in
eval_foo_bb6_in
eval_foo_bb5_in->eval_foo_bb6_in
t₁₀
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 1<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && 0<Arg_3
eval_foo_bb6_in->eval_foo_bb5_in
t₁₂
η (Arg_3) = Arg_3-1
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_1+Arg_3 && 2<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0
eval_foo_stop
eval_foo_stop
eval_foo_bb7_in->eval_foo_stop
t₁₃
τ = Arg_1<=Arg_5 && Arg_0<=Arg_4
eval_foo_start
eval_foo_start
eval_foo_start->eval_foo_bb0_in
t₀
knowledge_propagation leads to new time bound 1 {O(1)} for transition 2:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_1<=Arg_5 && Arg_0<=Arg_4 && 0<Arg_0 && 0<Arg_1
knowledge_propagation leads to new time bound 1 {O(1)} for transition 5:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_0,Arg_3,Arg_4,Arg_5):|:1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<Arg_0
knowledge_propagation leads to new time bound 1 {O(1)} for transition 6:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_1,Arg_4,Arg_5):|:1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0<=Arg_1
MPRF for transition 7:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:1<=Arg_5 && 3<=Arg_4+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 2<=Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 0<Arg_2 of depth 1:
new bound:
2*Arg_4 {O(n)}
MPRF:
eval_foo_bb2_in [2*Arg_0 ]
eval_foo_bb4_in [Arg_2 ]
eval_foo_bb3_in [Arg_2+1 ]
eval_foo_bb1_in [2*Arg_0 ]
eval_foo_bb6_in [2*Arg_0 ]
eval_foo_bb5_in [2*Arg_0 ]
Show Graph
G
eval_foo_bb0_in
eval_foo_bb0_in
eval_foo_bb1_in
eval_foo_bb1_in
eval_foo_bb0_in->eval_foo_bb1_in
t₁
η (Arg_0) = Arg_4
η (Arg_1) = Arg_5
eval_foo_bb2_in
eval_foo_bb2_in
eval_foo_bb1_in->eval_foo_bb2_in
t₂
τ = Arg_1<=Arg_5 && Arg_0<=Arg_4 && 0<Arg_0 && 0<Arg_1
eval_foo_bb7_in
eval_foo_bb7_in
eval_foo_bb1_in->eval_foo_bb7_in
t₃
τ = Arg_1<=Arg_5 && Arg_0<=Arg_4 && Arg_0<=0
eval_foo_bb1_in->eval_foo_bb7_in
t₄
τ = Arg_1<=Arg_5 && Arg_0<=Arg_4 && Arg_1<=0
eval_foo_bb3_in
eval_foo_bb3_in
eval_foo_bb2_in->eval_foo_bb3_in
t₅
η (Arg_2) = Arg_0
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<Arg_0
eval_foo_bb5_in
eval_foo_bb5_in
eval_foo_bb2_in->eval_foo_bb5_in
t₆
η (Arg_3) = Arg_1
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0<=Arg_1
eval_foo_bb3_in->eval_foo_bb1_in
t₈
η (Arg_0) = Arg_2
τ = 1<=Arg_5 && 3<=Arg_4+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 2<=Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<=0
eval_foo_bb4_in
eval_foo_bb4_in
eval_foo_bb3_in->eval_foo_bb4_in
t₇
τ = 1<=Arg_5 && 3<=Arg_4+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 2<=Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 0<Arg_2
eval_foo_bb4_in->eval_foo_bb3_in
t₉
η (Arg_2) = Arg_2-1
τ = 1<=Arg_5 && 3<=Arg_4+Arg_5 && 2<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 2<=Arg_4 && 3<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0
eval_foo_bb5_in->eval_foo_bb1_in
t₁₁
η (Arg_1) = Arg_3
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 1<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_3<=0
eval_foo_bb6_in
eval_foo_bb6_in
eval_foo_bb5_in->eval_foo_bb6_in
t₁₀
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 1<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && 0<Arg_3
eval_foo_bb6_in->eval_foo_bb5_in
t₁₂
η (Arg_3) = Arg_3-1
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_1+Arg_3 && 2<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0
eval_foo_stop
eval_foo_stop
eval_foo_bb7_in->eval_foo_stop
t₁₃
τ = Arg_1<=Arg_5 && Arg_0<=Arg_4
eval_foo_start
eval_foo_start
eval_foo_start->eval_foo_bb0_in
t₀
MPRF for transition 8:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_2,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:1<=Arg_5 && 3<=Arg_4+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 2<=Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<=0 of depth 1:
new bound:
Arg_4 {O(n)}
MPRF:
eval_foo_bb2_in [Arg_0 ]
eval_foo_bb4_in [1 ]
eval_foo_bb3_in [1 ]
eval_foo_bb1_in [Arg_0 ]
eval_foo_bb6_in [Arg_0 ]
eval_foo_bb5_in [Arg_0 ]
Show Graph
G
eval_foo_bb0_in
eval_foo_bb0_in
eval_foo_bb1_in
eval_foo_bb1_in
eval_foo_bb0_in->eval_foo_bb1_in
t₁
η (Arg_0) = Arg_4
η (Arg_1) = Arg_5
eval_foo_bb2_in
eval_foo_bb2_in
eval_foo_bb1_in->eval_foo_bb2_in
t₂
τ = Arg_1<=Arg_5 && Arg_0<=Arg_4 && 0<Arg_0 && 0<Arg_1
eval_foo_bb7_in
eval_foo_bb7_in
eval_foo_bb1_in->eval_foo_bb7_in
t₃
τ = Arg_1<=Arg_5 && Arg_0<=Arg_4 && Arg_0<=0
eval_foo_bb1_in->eval_foo_bb7_in
t₄
τ = Arg_1<=Arg_5 && Arg_0<=Arg_4 && Arg_1<=0
eval_foo_bb3_in
eval_foo_bb3_in
eval_foo_bb2_in->eval_foo_bb3_in
t₅
η (Arg_2) = Arg_0
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<Arg_0
eval_foo_bb5_in
eval_foo_bb5_in
eval_foo_bb2_in->eval_foo_bb5_in
t₆
η (Arg_3) = Arg_1
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0<=Arg_1
eval_foo_bb3_in->eval_foo_bb1_in
t₈
η (Arg_0) = Arg_2
τ = 1<=Arg_5 && 3<=Arg_4+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 2<=Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<=0
eval_foo_bb4_in
eval_foo_bb4_in
eval_foo_bb3_in->eval_foo_bb4_in
t₇
τ = 1<=Arg_5 && 3<=Arg_4+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 2<=Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 0<Arg_2
eval_foo_bb4_in->eval_foo_bb3_in
t₉
η (Arg_2) = Arg_2-1
τ = 1<=Arg_5 && 3<=Arg_4+Arg_5 && 2<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 2<=Arg_4 && 3<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0
eval_foo_bb5_in->eval_foo_bb1_in
t₁₁
η (Arg_1) = Arg_3
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 1<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_3<=0
eval_foo_bb6_in
eval_foo_bb6_in
eval_foo_bb5_in->eval_foo_bb6_in
t₁₀
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 1<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && 0<Arg_3
eval_foo_bb6_in->eval_foo_bb5_in
t₁₂
η (Arg_3) = Arg_3-1
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_1+Arg_3 && 2<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0
eval_foo_stop
eval_foo_stop
eval_foo_bb7_in->eval_foo_stop
t₁₃
τ = Arg_1<=Arg_5 && Arg_0<=Arg_4
eval_foo_start
eval_foo_start
eval_foo_start->eval_foo_bb0_in
t₀
MPRF for transition 9:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2-1,Arg_3,Arg_4,Arg_5):|:1<=Arg_5 && 3<=Arg_4+Arg_5 && 2<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 2<=Arg_4 && 3<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 of depth 1:
new bound:
Arg_4 {O(n)}
MPRF:
eval_foo_bb2_in [Arg_0 ]
eval_foo_bb4_in [Arg_2 ]
eval_foo_bb3_in [Arg_2 ]
eval_foo_bb1_in [Arg_0 ]
eval_foo_bb6_in [Arg_0 ]
eval_foo_bb5_in [Arg_0 ]
Show Graph
G
eval_foo_bb0_in
eval_foo_bb0_in
eval_foo_bb1_in
eval_foo_bb1_in
eval_foo_bb0_in->eval_foo_bb1_in
t₁
η (Arg_0) = Arg_4
η (Arg_1) = Arg_5
eval_foo_bb2_in
eval_foo_bb2_in
eval_foo_bb1_in->eval_foo_bb2_in
t₂
τ = Arg_1<=Arg_5 && Arg_0<=Arg_4 && 0<Arg_0 && 0<Arg_1
eval_foo_bb7_in
eval_foo_bb7_in
eval_foo_bb1_in->eval_foo_bb7_in
t₃
τ = Arg_1<=Arg_5 && Arg_0<=Arg_4 && Arg_0<=0
eval_foo_bb1_in->eval_foo_bb7_in
t₄
τ = Arg_1<=Arg_5 && Arg_0<=Arg_4 && Arg_1<=0
eval_foo_bb3_in
eval_foo_bb3_in
eval_foo_bb2_in->eval_foo_bb3_in
t₅
η (Arg_2) = Arg_0
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<Arg_0
eval_foo_bb5_in
eval_foo_bb5_in
eval_foo_bb2_in->eval_foo_bb5_in
t₆
η (Arg_3) = Arg_1
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0<=Arg_1
eval_foo_bb3_in->eval_foo_bb1_in
t₈
η (Arg_0) = Arg_2
τ = 1<=Arg_5 && 3<=Arg_4+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 2<=Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<=0
eval_foo_bb4_in
eval_foo_bb4_in
eval_foo_bb3_in->eval_foo_bb4_in
t₇
τ = 1<=Arg_5 && 3<=Arg_4+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 2<=Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 0<Arg_2
eval_foo_bb4_in->eval_foo_bb3_in
t₉
η (Arg_2) = Arg_2-1
τ = 1<=Arg_5 && 3<=Arg_4+Arg_5 && 2<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 2<=Arg_4 && 3<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0
eval_foo_bb5_in->eval_foo_bb1_in
t₁₁
η (Arg_1) = Arg_3
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 1<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_3<=0
eval_foo_bb6_in
eval_foo_bb6_in
eval_foo_bb5_in->eval_foo_bb6_in
t₁₀
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 1<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && 0<Arg_3
eval_foo_bb6_in->eval_foo_bb5_in
t₁₂
η (Arg_3) = Arg_3-1
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_1+Arg_3 && 2<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0
eval_foo_stop
eval_foo_stop
eval_foo_bb7_in->eval_foo_stop
t₁₃
τ = Arg_1<=Arg_5 && Arg_0<=Arg_4
eval_foo_start
eval_foo_start
eval_foo_start->eval_foo_bb0_in
t₀
MPRF for transition 10:eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:1<=Arg_5 && 2<=Arg_4+Arg_5 && 1<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && 0<Arg_3 of depth 1:
new bound:
Arg_4+Arg_5 {O(n)}
MPRF:
eval_foo_bb2_in [Arg_0+Arg_1 ]
eval_foo_bb4_in [Arg_0 ]
eval_foo_bb3_in [Arg_0 ]
eval_foo_bb1_in [Arg_0+Arg_1 ]
eval_foo_bb6_in [Arg_0+Arg_3-1 ]
eval_foo_bb5_in [Arg_0+Arg_3 ]
Show Graph
G
eval_foo_bb0_in
eval_foo_bb0_in
eval_foo_bb1_in
eval_foo_bb1_in
eval_foo_bb0_in->eval_foo_bb1_in
t₁
η (Arg_0) = Arg_4
η (Arg_1) = Arg_5
eval_foo_bb2_in
eval_foo_bb2_in
eval_foo_bb1_in->eval_foo_bb2_in
t₂
τ = Arg_1<=Arg_5 && Arg_0<=Arg_4 && 0<Arg_0 && 0<Arg_1
eval_foo_bb7_in
eval_foo_bb7_in
eval_foo_bb1_in->eval_foo_bb7_in
t₃
τ = Arg_1<=Arg_5 && Arg_0<=Arg_4 && Arg_0<=0
eval_foo_bb1_in->eval_foo_bb7_in
t₄
τ = Arg_1<=Arg_5 && Arg_0<=Arg_4 && Arg_1<=0
eval_foo_bb3_in
eval_foo_bb3_in
eval_foo_bb2_in->eval_foo_bb3_in
t₅
η (Arg_2) = Arg_0
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<Arg_0
eval_foo_bb5_in
eval_foo_bb5_in
eval_foo_bb2_in->eval_foo_bb5_in
t₆
η (Arg_3) = Arg_1
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0<=Arg_1
eval_foo_bb3_in->eval_foo_bb1_in
t₈
η (Arg_0) = Arg_2
τ = 1<=Arg_5 && 3<=Arg_4+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 2<=Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<=0
eval_foo_bb4_in
eval_foo_bb4_in
eval_foo_bb3_in->eval_foo_bb4_in
t₇
τ = 1<=Arg_5 && 3<=Arg_4+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 2<=Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 0<Arg_2
eval_foo_bb4_in->eval_foo_bb3_in
t₉
η (Arg_2) = Arg_2-1
τ = 1<=Arg_5 && 3<=Arg_4+Arg_5 && 2<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 2<=Arg_4 && 3<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0
eval_foo_bb5_in->eval_foo_bb1_in
t₁₁
η (Arg_1) = Arg_3
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 1<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_3<=0
eval_foo_bb6_in
eval_foo_bb6_in
eval_foo_bb5_in->eval_foo_bb6_in
t₁₀
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 1<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && 0<Arg_3
eval_foo_bb6_in->eval_foo_bb5_in
t₁₂
η (Arg_3) = Arg_3-1
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_1+Arg_3 && 2<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0
eval_foo_stop
eval_foo_stop
eval_foo_bb7_in->eval_foo_stop
t₁₃
τ = Arg_1<=Arg_5 && Arg_0<=Arg_4
eval_foo_start
eval_foo_start
eval_foo_start->eval_foo_bb0_in
t₀
MPRF for transition 11:eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_0,Arg_3,Arg_2,Arg_3,Arg_4,Arg_5):|:1<=Arg_5 && 2<=Arg_4+Arg_5 && 1<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_3<=0 of depth 1:
new bound:
Arg_5 {O(n)}
MPRF:
eval_foo_bb2_in [Arg_1 ]
eval_foo_bb4_in [Arg_1 ]
eval_foo_bb3_in [Arg_1 ]
eval_foo_bb1_in [Arg_1 ]
eval_foo_bb6_in [1 ]
eval_foo_bb5_in [1 ]
Show Graph
G
eval_foo_bb0_in
eval_foo_bb0_in
eval_foo_bb1_in
eval_foo_bb1_in
eval_foo_bb0_in->eval_foo_bb1_in
t₁
η (Arg_0) = Arg_4
η (Arg_1) = Arg_5
eval_foo_bb2_in
eval_foo_bb2_in
eval_foo_bb1_in->eval_foo_bb2_in
t₂
τ = Arg_1<=Arg_5 && Arg_0<=Arg_4 && 0<Arg_0 && 0<Arg_1
eval_foo_bb7_in
eval_foo_bb7_in
eval_foo_bb1_in->eval_foo_bb7_in
t₃
τ = Arg_1<=Arg_5 && Arg_0<=Arg_4 && Arg_0<=0
eval_foo_bb1_in->eval_foo_bb7_in
t₄
τ = Arg_1<=Arg_5 && Arg_0<=Arg_4 && Arg_1<=0
eval_foo_bb3_in
eval_foo_bb3_in
eval_foo_bb2_in->eval_foo_bb3_in
t₅
η (Arg_2) = Arg_0
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<Arg_0
eval_foo_bb5_in
eval_foo_bb5_in
eval_foo_bb2_in->eval_foo_bb5_in
t₆
η (Arg_3) = Arg_1
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0<=Arg_1
eval_foo_bb3_in->eval_foo_bb1_in
t₈
η (Arg_0) = Arg_2
τ = 1<=Arg_5 && 3<=Arg_4+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 2<=Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<=0
eval_foo_bb4_in
eval_foo_bb4_in
eval_foo_bb3_in->eval_foo_bb4_in
t₇
τ = 1<=Arg_5 && 3<=Arg_4+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 2<=Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 0<Arg_2
eval_foo_bb4_in->eval_foo_bb3_in
t₉
η (Arg_2) = Arg_2-1
τ = 1<=Arg_5 && 3<=Arg_4+Arg_5 && 2<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 2<=Arg_4 && 3<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0
eval_foo_bb5_in->eval_foo_bb1_in
t₁₁
η (Arg_1) = Arg_3
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 1<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_3<=0
eval_foo_bb6_in
eval_foo_bb6_in
eval_foo_bb5_in->eval_foo_bb6_in
t₁₀
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 1<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && 0<Arg_3
eval_foo_bb6_in->eval_foo_bb5_in
t₁₂
η (Arg_3) = Arg_3-1
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_1+Arg_3 && 2<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0
eval_foo_stop
eval_foo_stop
eval_foo_bb7_in->eval_foo_stop
t₁₃
τ = Arg_1<=Arg_5 && Arg_0<=Arg_4
eval_foo_start
eval_foo_start
eval_foo_start->eval_foo_bb0_in
t₀
MPRF for transition 12:eval_foo_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3-1,Arg_4,Arg_5):|:1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_1+Arg_3 && 2<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 of depth 1:
new bound:
Arg_4+Arg_5 {O(n)}
MPRF:
eval_foo_bb2_in [Arg_0+Arg_1 ]
eval_foo_bb4_in [Arg_0 ]
eval_foo_bb3_in [Arg_0 ]
eval_foo_bb1_in [Arg_0+Arg_1 ]
eval_foo_bb6_in [Arg_0+Arg_3 ]
eval_foo_bb5_in [Arg_0+Arg_3 ]
Show Graph
G
eval_foo_bb0_in
eval_foo_bb0_in
eval_foo_bb1_in
eval_foo_bb1_in
eval_foo_bb0_in->eval_foo_bb1_in
t₁
η (Arg_0) = Arg_4
η (Arg_1) = Arg_5
eval_foo_bb2_in
eval_foo_bb2_in
eval_foo_bb1_in->eval_foo_bb2_in
t₂
τ = Arg_1<=Arg_5 && Arg_0<=Arg_4 && 0<Arg_0 && 0<Arg_1
eval_foo_bb7_in
eval_foo_bb7_in
eval_foo_bb1_in->eval_foo_bb7_in
t₃
τ = Arg_1<=Arg_5 && Arg_0<=Arg_4 && Arg_0<=0
eval_foo_bb1_in->eval_foo_bb7_in
t₄
τ = Arg_1<=Arg_5 && Arg_0<=Arg_4 && Arg_1<=0
eval_foo_bb3_in
eval_foo_bb3_in
eval_foo_bb2_in->eval_foo_bb3_in
t₅
η (Arg_2) = Arg_0
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<Arg_0
eval_foo_bb5_in
eval_foo_bb5_in
eval_foo_bb2_in->eval_foo_bb5_in
t₆
η (Arg_3) = Arg_1
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0<=Arg_1
eval_foo_bb3_in->eval_foo_bb1_in
t₈
η (Arg_0) = Arg_2
τ = 1<=Arg_5 && 3<=Arg_4+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 2<=Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<=0
eval_foo_bb4_in
eval_foo_bb4_in
eval_foo_bb3_in->eval_foo_bb4_in
t₇
τ = 1<=Arg_5 && 3<=Arg_4+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 2<=Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 0<Arg_2
eval_foo_bb4_in->eval_foo_bb3_in
t₉
η (Arg_2) = Arg_2-1
τ = 1<=Arg_5 && 3<=Arg_4+Arg_5 && 2<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 2<=Arg_4 && 3<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0
eval_foo_bb5_in->eval_foo_bb1_in
t₁₁
η (Arg_1) = Arg_3
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 1<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_3<=0
eval_foo_bb6_in
eval_foo_bb6_in
eval_foo_bb5_in->eval_foo_bb6_in
t₁₀
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 1<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && 0<Arg_3
eval_foo_bb6_in->eval_foo_bb5_in
t₁₂
η (Arg_3) = Arg_3-1
τ = 1<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && Arg_3<=Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_3<=Arg_1 && 1<=Arg_3 && 2<=Arg_1+Arg_3 && 2<=Arg_0+Arg_3 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0
eval_foo_stop
eval_foo_stop
eval_foo_bb7_in->eval_foo_stop
t₁₃
τ = Arg_1<=Arg_5 && Arg_0<=Arg_4
eval_foo_start
eval_foo_start
eval_foo_start->eval_foo_bb0_in
t₀
All Bounds
Timebounds
Overall timebound:3*Arg_5+6*Arg_4+8 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
2: eval_foo_bb1_in->eval_foo_bb2_in: 1 {O(1)}
3: eval_foo_bb1_in->eval_foo_bb7_in: 1 {O(1)}
4: eval_foo_bb1_in->eval_foo_bb7_in: 1 {O(1)}
5: eval_foo_bb2_in->eval_foo_bb3_in: 1 {O(1)}
6: eval_foo_bb2_in->eval_foo_bb5_in: 1 {O(1)}
7: eval_foo_bb3_in->eval_foo_bb4_in: 2*Arg_4 {O(n)}
8: eval_foo_bb3_in->eval_foo_bb1_in: Arg_4 {O(n)}
9: eval_foo_bb4_in->eval_foo_bb3_in: Arg_4 {O(n)}
10: eval_foo_bb5_in->eval_foo_bb6_in: Arg_4+Arg_5 {O(n)}
11: eval_foo_bb5_in->eval_foo_bb1_in: Arg_5 {O(n)}
12: eval_foo_bb6_in->eval_foo_bb5_in: Arg_4+Arg_5 {O(n)}
13: eval_foo_bb7_in->eval_foo_stop: 1 {O(1)}
0: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}
Costbounds
Overall costbound: 3*Arg_5+6*Arg_4+8 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
2: eval_foo_bb1_in->eval_foo_bb2_in: 1 {O(1)}
3: eval_foo_bb1_in->eval_foo_bb7_in: 1 {O(1)}
4: eval_foo_bb1_in->eval_foo_bb7_in: 1 {O(1)}
5: eval_foo_bb2_in->eval_foo_bb3_in: 1 {O(1)}
6: eval_foo_bb2_in->eval_foo_bb5_in: 1 {O(1)}
7: eval_foo_bb3_in->eval_foo_bb4_in: 2*Arg_4 {O(n)}
8: eval_foo_bb3_in->eval_foo_bb1_in: Arg_4 {O(n)}
9: eval_foo_bb4_in->eval_foo_bb3_in: Arg_4 {O(n)}
10: eval_foo_bb5_in->eval_foo_bb6_in: Arg_4+Arg_5 {O(n)}
11: eval_foo_bb5_in->eval_foo_bb1_in: Arg_5 {O(n)}
12: eval_foo_bb6_in->eval_foo_bb5_in: Arg_4+Arg_5 {O(n)}
13: eval_foo_bb7_in->eval_foo_stop: 1 {O(1)}
0: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}
Sizebounds
1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: Arg_4 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_1: Arg_5 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_5: Arg_5 {O(n)}
2: eval_foo_bb1_in->eval_foo_bb2_in, Arg_0: Arg_4 {O(n)}
2: eval_foo_bb1_in->eval_foo_bb2_in, Arg_1: Arg_5 {O(n)}
2: eval_foo_bb1_in->eval_foo_bb2_in, Arg_2: Arg_2 {O(n)}
2: eval_foo_bb1_in->eval_foo_bb2_in, Arg_3: Arg_3 {O(n)}
2: eval_foo_bb1_in->eval_foo_bb2_in, Arg_4: Arg_4 {O(n)}
2: eval_foo_bb1_in->eval_foo_bb2_in, Arg_5: Arg_5 {O(n)}
3: eval_foo_bb1_in->eval_foo_bb7_in, Arg_0: Arg_4 {O(n)}
3: eval_foo_bb1_in->eval_foo_bb7_in, Arg_1: 2*Arg_5 {O(n)}
3: eval_foo_bb1_in->eval_foo_bb7_in, Arg_2: Arg_2 {O(n)}
3: eval_foo_bb1_in->eval_foo_bb7_in, Arg_3: 2*Arg_3 {O(n)}
3: eval_foo_bb1_in->eval_foo_bb7_in, Arg_4: 2*Arg_4 {O(n)}
3: eval_foo_bb1_in->eval_foo_bb7_in, Arg_5: 2*Arg_5 {O(n)}
4: eval_foo_bb1_in->eval_foo_bb7_in, Arg_0: 2*Arg_4 {O(n)}
4: eval_foo_bb1_in->eval_foo_bb7_in, Arg_1: Arg_5 {O(n)}
4: eval_foo_bb1_in->eval_foo_bb7_in, Arg_2: 2*Arg_2 {O(n)}
4: eval_foo_bb1_in->eval_foo_bb7_in, Arg_3: Arg_3 {O(n)}
4: eval_foo_bb1_in->eval_foo_bb7_in, Arg_4: 2*Arg_4 {O(n)}
4: eval_foo_bb1_in->eval_foo_bb7_in, Arg_5: 2*Arg_5 {O(n)}
5: eval_foo_bb2_in->eval_foo_bb3_in, Arg_0: Arg_4 {O(n)}
5: eval_foo_bb2_in->eval_foo_bb3_in, Arg_1: Arg_5 {O(n)}
5: eval_foo_bb2_in->eval_foo_bb3_in, Arg_2: Arg_4 {O(n)}
5: eval_foo_bb2_in->eval_foo_bb3_in, Arg_3: Arg_3 {O(n)}
5: eval_foo_bb2_in->eval_foo_bb3_in, Arg_4: Arg_4 {O(n)}
5: eval_foo_bb2_in->eval_foo_bb3_in, Arg_5: Arg_5 {O(n)}
6: eval_foo_bb2_in->eval_foo_bb5_in, Arg_0: Arg_4 {O(n)}
6: eval_foo_bb2_in->eval_foo_bb5_in, Arg_1: Arg_5 {O(n)}
6: eval_foo_bb2_in->eval_foo_bb5_in, Arg_2: Arg_2 {O(n)}
6: eval_foo_bb2_in->eval_foo_bb5_in, Arg_3: Arg_5 {O(n)}
6: eval_foo_bb2_in->eval_foo_bb5_in, Arg_4: Arg_4 {O(n)}
6: eval_foo_bb2_in->eval_foo_bb5_in, Arg_5: Arg_5 {O(n)}
7: eval_foo_bb3_in->eval_foo_bb4_in, Arg_0: Arg_4 {O(n)}
7: eval_foo_bb3_in->eval_foo_bb4_in, Arg_1: Arg_5 {O(n)}
7: eval_foo_bb3_in->eval_foo_bb4_in, Arg_2: Arg_4 {O(n)}
7: eval_foo_bb3_in->eval_foo_bb4_in, Arg_3: Arg_3 {O(n)}
7: eval_foo_bb3_in->eval_foo_bb4_in, Arg_4: Arg_4 {O(n)}
7: eval_foo_bb3_in->eval_foo_bb4_in, Arg_5: Arg_5 {O(n)}
8: eval_foo_bb3_in->eval_foo_bb1_in, Arg_0: 0 {O(1)}
8: eval_foo_bb3_in->eval_foo_bb1_in, Arg_1: Arg_5 {O(n)}
8: eval_foo_bb3_in->eval_foo_bb1_in, Arg_2: 0 {O(1)}
8: eval_foo_bb3_in->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
8: eval_foo_bb3_in->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
8: eval_foo_bb3_in->eval_foo_bb1_in, Arg_5: Arg_5 {O(n)}
9: eval_foo_bb4_in->eval_foo_bb3_in, Arg_0: Arg_4 {O(n)}
9: eval_foo_bb4_in->eval_foo_bb3_in, Arg_1: Arg_5 {O(n)}
9: eval_foo_bb4_in->eval_foo_bb3_in, Arg_2: Arg_4 {O(n)}
9: eval_foo_bb4_in->eval_foo_bb3_in, Arg_3: Arg_3 {O(n)}
9: eval_foo_bb4_in->eval_foo_bb3_in, Arg_4: Arg_4 {O(n)}
9: eval_foo_bb4_in->eval_foo_bb3_in, Arg_5: Arg_5 {O(n)}
10: eval_foo_bb5_in->eval_foo_bb6_in, Arg_0: Arg_4 {O(n)}
10: eval_foo_bb5_in->eval_foo_bb6_in, Arg_1: Arg_5 {O(n)}
10: eval_foo_bb5_in->eval_foo_bb6_in, Arg_2: Arg_2 {O(n)}
10: eval_foo_bb5_in->eval_foo_bb6_in, Arg_3: Arg_5 {O(n)}
10: eval_foo_bb5_in->eval_foo_bb6_in, Arg_4: Arg_4 {O(n)}
10: eval_foo_bb5_in->eval_foo_bb6_in, Arg_5: Arg_5 {O(n)}
11: eval_foo_bb5_in->eval_foo_bb1_in, Arg_0: Arg_4 {O(n)}
11: eval_foo_bb5_in->eval_foo_bb1_in, Arg_1: 0 {O(1)}
11: eval_foo_bb5_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
11: eval_foo_bb5_in->eval_foo_bb1_in, Arg_3: 0 {O(1)}
11: eval_foo_bb5_in->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
11: eval_foo_bb5_in->eval_foo_bb1_in, Arg_5: Arg_5 {O(n)}
12: eval_foo_bb6_in->eval_foo_bb5_in, Arg_0: Arg_4 {O(n)}
12: eval_foo_bb6_in->eval_foo_bb5_in, Arg_1: Arg_5 {O(n)}
12: eval_foo_bb6_in->eval_foo_bb5_in, Arg_2: Arg_2 {O(n)}
12: eval_foo_bb6_in->eval_foo_bb5_in, Arg_3: Arg_5 {O(n)}
12: eval_foo_bb6_in->eval_foo_bb5_in, Arg_4: Arg_4 {O(n)}
12: eval_foo_bb6_in->eval_foo_bb5_in, Arg_5: Arg_5 {O(n)}
13: eval_foo_bb7_in->eval_foo_stop, Arg_0: 3*Arg_4 {O(n)}
13: eval_foo_bb7_in->eval_foo_stop, Arg_1: 3*Arg_5 {O(n)}
13: eval_foo_bb7_in->eval_foo_stop, Arg_2: 3*Arg_2 {O(n)}
13: eval_foo_bb7_in->eval_foo_stop, Arg_3: 3*Arg_3 {O(n)}
13: eval_foo_bb7_in->eval_foo_stop, Arg_4: 4*Arg_4 {O(n)}
13: eval_foo_bb7_in->eval_foo_stop, Arg_5: 4*Arg_5 {O(n)}
0: eval_foo_start->eval_foo_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_foo_start->eval_foo_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_foo_start->eval_foo_bb0_in, Arg_2: Arg_2 {O(n)}
0: eval_foo_start->eval_foo_bb0_in, Arg_3: Arg_3 {O(n)}
0: eval_foo_start->eval_foo_bb0_in, Arg_4: Arg_4 {O(n)}
0: eval_foo_start->eval_foo_bb0_in, Arg_5: Arg_5 {O(n)}