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_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_1,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_0,Arg_2,Arg_3,Arg_4,Arg_5):|:1<Arg_0
3:eval_foo_bb1_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,Arg_4,Arg_5):|:Arg_0<=1
4: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_2,Arg_3,Arg_4,Arg_5):|:1<Arg_1
5:eval_foo_bb2_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):|:Arg_1<=1
6:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb2_in(Arg_0,Arg_1-2,Arg_2,Arg_3,Arg_4,Arg_5)
7:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_1,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)
8:eval_foo_bb5_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
eval_foo_bb2_in
eval_foo_bb2_in
eval_foo_bb1_in->eval_foo_bb2_in
t₂
η (Arg_1) = Arg_0
τ = 1<Arg_0
eval_foo_bb5_in
eval_foo_bb5_in
eval_foo_bb1_in->eval_foo_bb5_in
t₃
τ = Arg_0<=1
eval_foo_bb3_in
eval_foo_bb3_in
eval_foo_bb2_in->eval_foo_bb3_in
t₄
τ = 1<Arg_1
eval_foo_bb4_in
eval_foo_bb4_in
eval_foo_bb2_in->eval_foo_bb4_in
t₅
τ = Arg_1<=1
eval_foo_bb3_in->eval_foo_bb2_in
t₆
η (Arg_1) = Arg_1-2
eval_foo_bb4_in->eval_foo_bb1_in
t₇
η (Arg_0) = Arg_1
eval_foo_stop
eval_foo_stop
eval_foo_bb5_in->eval_foo_stop
t₈
eval_foo_start
eval_foo_start
eval_foo_start->eval_foo_bb0_in
t₀
Preprocessing
Eliminate variables {Arg_2,Arg_3,Arg_5} that do not contribute to the problem
Found invariant Arg_0<=Arg_4 && Arg_0<=1 for location eval_foo_bb5_in
Found invariant Arg_0<=Arg_4 && Arg_0<=1 for location eval_foo_stop
Found invariant 2<=Arg_4 && 4<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 for location eval_foo_bb3_in
Found invariant 2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0 for location eval_foo_bb2_in
Found invariant Arg_0<=Arg_4 for location eval_foo_bb1_in
Found invariant 2<=Arg_4 && 2<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=1 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 2<=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_4
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_start, eval_foo_stop
Transitions:
18:eval_foo_bb0_in(Arg_0,Arg_1,Arg_4) -> eval_foo_bb1_in(Arg_4,Arg_1,Arg_4)
19:eval_foo_bb1_in(Arg_0,Arg_1,Arg_4) -> eval_foo_bb2_in(Arg_0,Arg_0,Arg_4):|:Arg_0<=Arg_4 && 1<Arg_0
20:eval_foo_bb1_in(Arg_0,Arg_1,Arg_4) -> eval_foo_bb5_in(Arg_0,Arg_1,Arg_4):|:Arg_0<=Arg_4 && Arg_0<=1
21:eval_foo_bb2_in(Arg_0,Arg_1,Arg_4) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_4):|:2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0 && 1<Arg_1
22:eval_foo_bb2_in(Arg_0,Arg_1,Arg_4) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_4):|:2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_1<=1
23:eval_foo_bb3_in(Arg_0,Arg_1,Arg_4) -> eval_foo_bb2_in(Arg_0,Arg_1-2,Arg_4):|:2<=Arg_4 && 4<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0
24:eval_foo_bb4_in(Arg_0,Arg_1,Arg_4) -> eval_foo_bb1_in(Arg_1,Arg_1,Arg_4):|:2<=Arg_4 && 2<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=1 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0
25:eval_foo_bb5_in(Arg_0,Arg_1,Arg_4) -> eval_foo_stop(Arg_0,Arg_1,Arg_4):|:Arg_0<=Arg_4 && Arg_0<=1
26:eval_foo_start(Arg_0,Arg_1,Arg_4) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_4)
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
t₁₈
η (Arg_0) = Arg_4
eval_foo_bb2_in
eval_foo_bb2_in
eval_foo_bb1_in->eval_foo_bb2_in
t₁₉
η (Arg_1) = Arg_0
τ = Arg_0<=Arg_4 && 1<Arg_0
eval_foo_bb5_in
eval_foo_bb5_in
eval_foo_bb1_in->eval_foo_bb5_in
t₂₀
τ = Arg_0<=Arg_4 && Arg_0<=1
eval_foo_bb3_in
eval_foo_bb3_in
eval_foo_bb2_in->eval_foo_bb3_in
t₂₁
τ = 2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0 && 1<Arg_1
eval_foo_bb4_in
eval_foo_bb4_in
eval_foo_bb2_in->eval_foo_bb4_in
t₂₂
τ = 2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_1<=1
eval_foo_bb3_in->eval_foo_bb2_in
t₂₃
η (Arg_1) = Arg_1-2
τ = 2<=Arg_4 && 4<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0
eval_foo_bb4_in->eval_foo_bb1_in
t₂₄
η (Arg_0) = Arg_1
τ = 2<=Arg_4 && 2<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=1 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0
eval_foo_stop
eval_foo_stop
eval_foo_bb5_in->eval_foo_stop
t₂₅
τ = Arg_0<=Arg_4 && Arg_0<=1
eval_foo_start
eval_foo_start
eval_foo_start->eval_foo_bb0_in
t₂₆
knowledge_propagation leads to new time bound 1 {O(1)} for transition 19:eval_foo_bb1_in(Arg_0,Arg_1,Arg_4) -> eval_foo_bb2_in(Arg_0,Arg_0,Arg_4):|:Arg_0<=Arg_4 && 1<Arg_0
MPRF for transition 21:eval_foo_bb2_in(Arg_0,Arg_1,Arg_4) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_4):|:2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0 && 1<Arg_1 of depth 1:
new bound:
Arg_4+1 {O(n)}
MPRF:
eval_foo_bb3_in [Arg_1-1 ]
eval_foo_bb2_in [Arg_1+1 ]
eval_foo_bb4_in [Arg_1+1 ]
eval_foo_bb1_in [Arg_0+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
t₁₈
η (Arg_0) = Arg_4
eval_foo_bb2_in
eval_foo_bb2_in
eval_foo_bb1_in->eval_foo_bb2_in
t₁₉
η (Arg_1) = Arg_0
τ = Arg_0<=Arg_4 && 1<Arg_0
eval_foo_bb5_in
eval_foo_bb5_in
eval_foo_bb1_in->eval_foo_bb5_in
t₂₀
τ = Arg_0<=Arg_4 && Arg_0<=1
eval_foo_bb3_in
eval_foo_bb3_in
eval_foo_bb2_in->eval_foo_bb3_in
t₂₁
τ = 2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0 && 1<Arg_1
eval_foo_bb4_in
eval_foo_bb4_in
eval_foo_bb2_in->eval_foo_bb4_in
t₂₂
τ = 2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_1<=1
eval_foo_bb3_in->eval_foo_bb2_in
t₂₃
η (Arg_1) = Arg_1-2
τ = 2<=Arg_4 && 4<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0
eval_foo_bb4_in->eval_foo_bb1_in
t₂₄
η (Arg_0) = Arg_1
τ = 2<=Arg_4 && 2<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=1 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0
eval_foo_stop
eval_foo_stop
eval_foo_bb5_in->eval_foo_stop
t₂₅
τ = Arg_0<=Arg_4 && Arg_0<=1
eval_foo_start
eval_foo_start
eval_foo_start->eval_foo_bb0_in
t₂₆
MPRF for transition 22:eval_foo_bb2_in(Arg_0,Arg_1,Arg_4) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_4):|:2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_1<=1 of depth 1:
new bound:
Arg_4+1 {O(n)}
MPRF:
eval_foo_bb3_in [Arg_0+1 ]
eval_foo_bb2_in [Arg_0+1 ]
eval_foo_bb4_in [Arg_0 ]
eval_foo_bb1_in [Arg_0+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
t₁₈
η (Arg_0) = Arg_4
eval_foo_bb2_in
eval_foo_bb2_in
eval_foo_bb1_in->eval_foo_bb2_in
t₁₉
η (Arg_1) = Arg_0
τ = Arg_0<=Arg_4 && 1<Arg_0
eval_foo_bb5_in
eval_foo_bb5_in
eval_foo_bb1_in->eval_foo_bb5_in
t₂₀
τ = Arg_0<=Arg_4 && Arg_0<=1
eval_foo_bb3_in
eval_foo_bb3_in
eval_foo_bb2_in->eval_foo_bb3_in
t₂₁
τ = 2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0 && 1<Arg_1
eval_foo_bb4_in
eval_foo_bb4_in
eval_foo_bb2_in->eval_foo_bb4_in
t₂₂
τ = 2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_1<=1
eval_foo_bb3_in->eval_foo_bb2_in
t₂₃
η (Arg_1) = Arg_1-2
τ = 2<=Arg_4 && 4<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0
eval_foo_bb4_in->eval_foo_bb1_in
t₂₄
η (Arg_0) = Arg_1
τ = 2<=Arg_4 && 2<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=1 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0
eval_foo_stop
eval_foo_stop
eval_foo_bb5_in->eval_foo_stop
t₂₅
τ = Arg_0<=Arg_4 && Arg_0<=1
eval_foo_start
eval_foo_start
eval_foo_start->eval_foo_bb0_in
t₂₆
MPRF for transition 23:eval_foo_bb3_in(Arg_0,Arg_1,Arg_4) -> eval_foo_bb2_in(Arg_0,Arg_1-2,Arg_4):|:2<=Arg_4 && 4<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0 of depth 1:
new bound:
Arg_4+1 {O(n)}
MPRF:
eval_foo_bb3_in [Arg_1-1 ]
eval_foo_bb2_in [Arg_1-1 ]
eval_foo_bb4_in [Arg_1-1 ]
eval_foo_bb1_in [Arg_0-1 ]
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
t₁₈
η (Arg_0) = Arg_4
eval_foo_bb2_in
eval_foo_bb2_in
eval_foo_bb1_in->eval_foo_bb2_in
t₁₉
η (Arg_1) = Arg_0
τ = Arg_0<=Arg_4 && 1<Arg_0
eval_foo_bb5_in
eval_foo_bb5_in
eval_foo_bb1_in->eval_foo_bb5_in
t₂₀
τ = Arg_0<=Arg_4 && Arg_0<=1
eval_foo_bb3_in
eval_foo_bb3_in
eval_foo_bb2_in->eval_foo_bb3_in
t₂₁
τ = 2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0 && 1<Arg_1
eval_foo_bb4_in
eval_foo_bb4_in
eval_foo_bb2_in->eval_foo_bb4_in
t₂₂
τ = 2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_1<=1
eval_foo_bb3_in->eval_foo_bb2_in
t₂₃
η (Arg_1) = Arg_1-2
τ = 2<=Arg_4 && 4<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0
eval_foo_bb4_in->eval_foo_bb1_in
t₂₄
η (Arg_0) = Arg_1
τ = 2<=Arg_4 && 2<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=1 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0
eval_foo_stop
eval_foo_stop
eval_foo_bb5_in->eval_foo_stop
t₂₅
τ = Arg_0<=Arg_4 && Arg_0<=1
eval_foo_start
eval_foo_start
eval_foo_start->eval_foo_bb0_in
t₂₆
MPRF for transition 24:eval_foo_bb4_in(Arg_0,Arg_1,Arg_4) -> eval_foo_bb1_in(Arg_1,Arg_1,Arg_4):|:2<=Arg_4 && 2<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=1 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0 of depth 1:
new bound:
Arg_4+1 {O(n)}
MPRF:
eval_foo_bb3_in [1 ]
eval_foo_bb2_in [1 ]
eval_foo_bb4_in [1 ]
eval_foo_bb1_in [Arg_0-1 ]
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
t₁₈
η (Arg_0) = Arg_4
eval_foo_bb2_in
eval_foo_bb2_in
eval_foo_bb1_in->eval_foo_bb2_in
t₁₉
η (Arg_1) = Arg_0
τ = Arg_0<=Arg_4 && 1<Arg_0
eval_foo_bb5_in
eval_foo_bb5_in
eval_foo_bb1_in->eval_foo_bb5_in
t₂₀
τ = Arg_0<=Arg_4 && Arg_0<=1
eval_foo_bb3_in
eval_foo_bb3_in
eval_foo_bb2_in->eval_foo_bb3_in
t₂₁
τ = 2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0 && 1<Arg_1
eval_foo_bb4_in
eval_foo_bb4_in
eval_foo_bb2_in->eval_foo_bb4_in
t₂₂
τ = 2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_1<=1
eval_foo_bb3_in->eval_foo_bb2_in
t₂₃
η (Arg_1) = Arg_1-2
τ = 2<=Arg_4 && 4<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && 2<=Arg_0
eval_foo_bb4_in->eval_foo_bb1_in
t₂₄
η (Arg_0) = Arg_1
τ = 2<=Arg_4 && 2<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=1 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0
eval_foo_stop
eval_foo_stop
eval_foo_bb5_in->eval_foo_stop
t₂₅
τ = Arg_0<=Arg_4 && Arg_0<=1
eval_foo_start
eval_foo_start
eval_foo_start->eval_foo_bb0_in
t₂₆
All Bounds
Timebounds
Overall timebound:4*Arg_4+9 {O(n)}
18: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
19: eval_foo_bb1_in->eval_foo_bb2_in: 1 {O(1)}
20: eval_foo_bb1_in->eval_foo_bb5_in: 1 {O(1)}
21: eval_foo_bb2_in->eval_foo_bb3_in: Arg_4+1 {O(n)}
22: eval_foo_bb2_in->eval_foo_bb4_in: Arg_4+1 {O(n)}
23: eval_foo_bb3_in->eval_foo_bb2_in: Arg_4+1 {O(n)}
24: eval_foo_bb4_in->eval_foo_bb1_in: Arg_4+1 {O(n)}
25: eval_foo_bb5_in->eval_foo_stop: 1 {O(1)}
26: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}
Costbounds
Overall costbound: 4*Arg_4+9 {O(n)}
18: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
19: eval_foo_bb1_in->eval_foo_bb2_in: 1 {O(1)}
20: eval_foo_bb1_in->eval_foo_bb5_in: 1 {O(1)}
21: eval_foo_bb2_in->eval_foo_bb3_in: Arg_4+1 {O(n)}
22: eval_foo_bb2_in->eval_foo_bb4_in: Arg_4+1 {O(n)}
23: eval_foo_bb3_in->eval_foo_bb2_in: Arg_4+1 {O(n)}
24: eval_foo_bb4_in->eval_foo_bb1_in: Arg_4+1 {O(n)}
25: eval_foo_bb5_in->eval_foo_stop: 1 {O(1)}
26: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}
Sizebounds
18: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: Arg_4 {O(n)}
18: eval_foo_bb0_in->eval_foo_bb1_in, Arg_1: Arg_1 {O(n)}
18: eval_foo_bb0_in->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
19: eval_foo_bb1_in->eval_foo_bb2_in, Arg_0: Arg_4 {O(n)}
19: eval_foo_bb1_in->eval_foo_bb2_in, Arg_1: Arg_4 {O(n)}
19: eval_foo_bb1_in->eval_foo_bb2_in, Arg_4: Arg_4 {O(n)}
20: eval_foo_bb1_in->eval_foo_bb5_in, Arg_0: Arg_4+1 {O(n)}
20: eval_foo_bb1_in->eval_foo_bb5_in, Arg_1: Arg_1+1 {O(n)}
20: eval_foo_bb1_in->eval_foo_bb5_in, Arg_4: 2*Arg_4 {O(n)}
21: eval_foo_bb2_in->eval_foo_bb3_in, Arg_0: Arg_4 {O(n)}
21: eval_foo_bb2_in->eval_foo_bb3_in, Arg_1: Arg_4 {O(n)}
21: eval_foo_bb2_in->eval_foo_bb3_in, Arg_4: Arg_4 {O(n)}
22: eval_foo_bb2_in->eval_foo_bb4_in, Arg_0: Arg_4 {O(n)}
22: eval_foo_bb2_in->eval_foo_bb4_in, Arg_1: 1 {O(1)}
22: eval_foo_bb2_in->eval_foo_bb4_in, Arg_4: Arg_4 {O(n)}
23: eval_foo_bb3_in->eval_foo_bb2_in, Arg_0: Arg_4 {O(n)}
23: eval_foo_bb3_in->eval_foo_bb2_in, Arg_1: Arg_4 {O(n)}
23: eval_foo_bb3_in->eval_foo_bb2_in, Arg_4: Arg_4 {O(n)}
24: eval_foo_bb4_in->eval_foo_bb1_in, Arg_0: 1 {O(1)}
24: eval_foo_bb4_in->eval_foo_bb1_in, Arg_1: 1 {O(1)}
24: eval_foo_bb4_in->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
25: eval_foo_bb5_in->eval_foo_stop, Arg_0: Arg_4+1 {O(n)}
25: eval_foo_bb5_in->eval_foo_stop, Arg_1: Arg_1+1 {O(n)}
25: eval_foo_bb5_in->eval_foo_stop, Arg_4: 2*Arg_4 {O(n)}
26: eval_foo_start->eval_foo_bb0_in, Arg_0: Arg_0 {O(n)}
26: eval_foo_start->eval_foo_bb0_in, Arg_1: Arg_1 {O(n)}
26: eval_foo_start->eval_foo_bb0_in, Arg_4: Arg_4 {O(n)}