Initial Problem
Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_start, eval_foo_stop
Transitions:
1:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_2,Arg_3,Arg_2,Arg_3)
2:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3):|:0<=Arg_0
3:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<0
4:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0+Arg_1,-Arg_1-1,Arg_2,Arg_3):|:0<=Arg_1
5:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0+Arg_1,-Arg_1,Arg_2,Arg_3):|:Arg_1<0
6:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_3)
0:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,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_2
η (Arg_1) = Arg_3
eval_foo_bb2_in
eval_foo_bb2_in
eval_foo_bb1_in->eval_foo_bb2_in
t₂
τ = 0<=Arg_0
eval_foo_bb3_in
eval_foo_bb3_in
eval_foo_bb1_in->eval_foo_bb3_in
t₃
τ = Arg_0<0
eval_foo_bb2_in->eval_foo_bb1_in
t₄
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1-1
τ = 0<=Arg_1
eval_foo_bb2_in->eval_foo_bb1_in
t₅
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1
τ = Arg_1<0
eval_foo_stop
eval_foo_stop
eval_foo_bb3_in->eval_foo_stop
t₆
eval_foo_start
eval_foo_start
eval_foo_start->eval_foo_bb0_in
t₀
Preprocessing
Found invariant 1+Arg_0<=0 for location eval_foo_stop
Found invariant 1+Arg_0<=0 for location eval_foo_bb3_in
Found invariant 0<=Arg_0 for location eval_foo_bb2_in
Problem after Preprocessing
Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_start, eval_foo_stop
Transitions:
1:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_2,Arg_3,Arg_2,Arg_3)
2:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3):|:0<=Arg_0
3:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<0
4:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0+Arg_1,-Arg_1-1,Arg_2,Arg_3):|:0<=Arg_0 && 0<=Arg_1
5:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0+Arg_1,-Arg_1,Arg_2,Arg_3):|:0<=Arg_0 && Arg_1<0
6:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_3):|:1+Arg_0<=0
0:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,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_2
η (Arg_1) = Arg_3
eval_foo_bb2_in
eval_foo_bb2_in
eval_foo_bb1_in->eval_foo_bb2_in
t₂
τ = 0<=Arg_0
eval_foo_bb3_in
eval_foo_bb3_in
eval_foo_bb1_in->eval_foo_bb3_in
t₃
τ = Arg_0<0
eval_foo_bb2_in->eval_foo_bb1_in
t₄
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1-1
τ = 0<=Arg_0 && 0<=Arg_1
eval_foo_bb2_in->eval_foo_bb1_in
t₅
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1
τ = 0<=Arg_0 && Arg_1<0
eval_foo_stop
eval_foo_stop
eval_foo_bb3_in->eval_foo_stop
t₆
τ = 1+Arg_0<=0
eval_foo_start
eval_foo_start
eval_foo_start->eval_foo_bb0_in
t₀
MPRF for transition 4:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0+Arg_1,-Arg_1-1,Arg_2,Arg_3):|:0<=Arg_0 && 0<=Arg_1 of depth 1:
new bound:
2*Arg_2+Arg_3+1 {O(n)}
MPRF:
eval_foo_bb2_in [2*Arg_0+Arg_1+1 ]
eval_foo_bb1_in [2*Arg_0+Arg_1+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_2
η (Arg_1) = Arg_3
eval_foo_bb2_in
eval_foo_bb2_in
eval_foo_bb1_in->eval_foo_bb2_in
t₂
τ = 0<=Arg_0
eval_foo_bb3_in
eval_foo_bb3_in
eval_foo_bb1_in->eval_foo_bb3_in
t₃
τ = Arg_0<0
eval_foo_bb2_in->eval_foo_bb1_in
t₄
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1-1
τ = 0<=Arg_0 && 0<=Arg_1
eval_foo_bb2_in->eval_foo_bb1_in
t₅
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1
τ = 0<=Arg_0 && Arg_1<0
eval_foo_stop
eval_foo_stop
eval_foo_bb3_in->eval_foo_stop
t₆
τ = 1+Arg_0<=0
eval_foo_start
eval_foo_start
eval_foo_start->eval_foo_bb0_in
t₀
MPRF for transition 2:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3):|:0<=Arg_0 of depth 1:
new bound:
10*Arg_2*Arg_3*Arg_3+16*Arg_2*Arg_2*Arg_3+2*Arg_3*Arg_3*Arg_3+8*Arg_2*Arg_2*Arg_2+22*Arg_2*Arg_2+29*Arg_2*Arg_3+9*Arg_3*Arg_3+12*Arg_3+20*Arg_2+7 {O(n^3)}
MPRF:
eval_foo_bb2_in [Arg_0+1 ]
eval_foo_bb1_in [Arg_0+2 ]
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_2
η (Arg_1) = Arg_3
eval_foo_bb2_in
eval_foo_bb2_in
eval_foo_bb1_in->eval_foo_bb2_in
t₂
τ = 0<=Arg_0
eval_foo_bb3_in
eval_foo_bb3_in
eval_foo_bb1_in->eval_foo_bb3_in
t₃
τ = Arg_0<0
eval_foo_bb2_in->eval_foo_bb1_in
t₄
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1-1
τ = 0<=Arg_0 && 0<=Arg_1
eval_foo_bb2_in->eval_foo_bb1_in
t₅
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1
τ = 0<=Arg_0 && Arg_1<0
eval_foo_stop
eval_foo_stop
eval_foo_bb3_in->eval_foo_stop
t₆
τ = 1+Arg_0<=0
eval_foo_start
eval_foo_start
eval_foo_start->eval_foo_bb0_in
t₀
MPRF for transition 5:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0+Arg_1,-Arg_1,Arg_2,Arg_3):|:0<=Arg_0 && Arg_1<0 of depth 1:
new bound:
2*Arg_3*Arg_3+4*Arg_2*Arg_2+6*Arg_2*Arg_3+5*Arg_3+6*Arg_2+3 {O(n^2)}
MPRF:
eval_foo_bb2_in [1-Arg_1 ]
eval_foo_bb1_in [1-Arg_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_2
η (Arg_1) = Arg_3
eval_foo_bb2_in
eval_foo_bb2_in
eval_foo_bb1_in->eval_foo_bb2_in
t₂
τ = 0<=Arg_0
eval_foo_bb3_in
eval_foo_bb3_in
eval_foo_bb1_in->eval_foo_bb3_in
t₃
τ = Arg_0<0
eval_foo_bb2_in->eval_foo_bb1_in
t₄
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1-1
τ = 0<=Arg_0 && 0<=Arg_1
eval_foo_bb2_in->eval_foo_bb1_in
t₅
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1
τ = 0<=Arg_0 && Arg_1<0
eval_foo_stop
eval_foo_stop
eval_foo_bb3_in->eval_foo_stop
t₆
τ = 1+Arg_0<=0
eval_foo_start
eval_foo_start
eval_foo_start->eval_foo_bb0_in
t₀
knowledge_propagation leads to new time bound 2*Arg_3*Arg_3+4*Arg_2*Arg_2+6*Arg_2*Arg_3+6*Arg_3+8*Arg_2+5 {O(n^2)} for transition 2:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3):|:0<=Arg_0
Analysing control-flow refined program
Cut unsatisfiable transition 69: n_eval_foo_bb1_in___6->eval_foo_bb3_in
Found invariant 1+Arg_1<=Arg_3 && 0<=Arg_0+Arg_3 && 1+Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=1+Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_foo_bb2_in___4
Found invariant Arg_3<=Arg_1 && Arg_1<=Arg_3 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 0<=Arg_0 for location n_eval_foo_bb2_in___7
Found invariant 1<=Arg_1+Arg_3 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_foo_bb2_in___2
Found invariant 1+Arg_0<=0 for location eval_foo_stop
Found invariant 1<=Arg_1+Arg_3 && 1<=Arg_1 && 0<=Arg_0+Arg_1 for location n_eval_foo_bb1_in___3
Found invariant 1+Arg_0<=0 for location eval_foo_bb3_in
Found invariant 1+Arg_3<=0 && 1+Arg_3<=Arg_2 && 2+Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && Arg_3<=Arg_0 && 0<=Arg_1+Arg_3 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 0<=Arg_0+Arg_1 for location n_eval_foo_bb1_in___5
Found invariant 1+Arg_3<=0 && 2+Arg_3<=Arg_2 && 2+Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && 1+Arg_3<=Arg_0 && 0<=Arg_1+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_foo_bb2_in___1
Found invariant Arg_3<=Arg_1 && Arg_1<=Arg_3 && Arg_2<=Arg_0 && Arg_0<=Arg_2 for location eval_foo_bb1_in
Found invariant 1+Arg_1<=Arg_3 && 0<=Arg_0+Arg_3 && 1+Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=1+Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_foo_bb1_in___6
MPRF for transition 51:n_eval_foo_bb1_in___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___2(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_1+Arg_3 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 1<=Arg_1 && 0<=Arg_0 of depth 1:
new bound:
2*Arg_2+5*Arg_3+4 {O(n)}
MPRF:
n_eval_foo_bb2_in___2 [Arg_0 ]
n_eval_foo_bb1_in___6 [Arg_0+Arg_1+1 ]
n_eval_foo_bb2_in___4 [Arg_0+Arg_1+1 ]
n_eval_foo_bb1_in___3 [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
t₁
η (Arg_0) = Arg_2
η (Arg_1) = Arg_3
eval_foo_bb3_in
eval_foo_bb3_in
eval_foo_bb1_in->eval_foo_bb3_in
t₃
τ = Arg_3<=Arg_1 && Arg_1<=Arg_3 && Arg_2<=Arg_0 && Arg_0<=Arg_2 && Arg_0<0
n_eval_foo_bb2_in___7
n_eval_foo_bb2_in___7
eval_foo_bb1_in->n_eval_foo_bb2_in___7
t₅₄
τ = Arg_3<=Arg_1 && Arg_1<=Arg_3 && Arg_2<=Arg_0 && Arg_0<=Arg_2 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && 0<=Arg_0
eval_foo_stop
eval_foo_stop
eval_foo_bb3_in->eval_foo_stop
t₆
τ = 1+Arg_0<=0 && 1+Arg_0<=0
eval_foo_start
eval_foo_start
eval_foo_start->eval_foo_bb0_in
t₀
n_eval_foo_bb1_in___3
n_eval_foo_bb1_in___3
n_eval_foo_bb1_in___3->eval_foo_bb3_in
t₆₇
τ = 1<=Arg_1+Arg_3 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<0
n_eval_foo_bb2_in___2
n_eval_foo_bb2_in___2
n_eval_foo_bb1_in___3->n_eval_foo_bb2_in___2
t₅₁
τ = 1<=Arg_1+Arg_3 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 1<=Arg_1 && 0<=Arg_0
n_eval_foo_bb1_in___5
n_eval_foo_bb1_in___5
n_eval_foo_bb1_in___5->eval_foo_bb3_in
t₆₈
τ = 1+Arg_3<=0 && 1+Arg_3<=Arg_2 && 2+Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && Arg_3<=Arg_0 && 0<=Arg_1+Arg_3 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<0
n_eval_foo_bb2_in___1
n_eval_foo_bb2_in___1
n_eval_foo_bb1_in___5->n_eval_foo_bb2_in___1
t₅₂
τ = 1+Arg_3<=0 && 1+Arg_3<=Arg_2 && 2+Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && Arg_3<=Arg_0 && 0<=Arg_1+Arg_3 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_1 && 0<=Arg_0
n_eval_foo_bb1_in___6
n_eval_foo_bb1_in___6
n_eval_foo_bb2_in___4
n_eval_foo_bb2_in___4
n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___4
t₅₃
τ = 1+Arg_1<=Arg_3 && 0<=Arg_0+Arg_3 && 1+Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=1+Arg_0+Arg_1 && 0<=Arg_0 && 0<=Arg_0 && Arg_1<0 && 0<=Arg_0 && 0<=1+Arg_0+Arg_1 && 1+Arg_1<=0 && 0<=Arg_0
n_eval_foo_bb2_in___1->n_eval_foo_bb1_in___6
t₅₅
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1-1
τ = 1+Arg_3<=0 && 2+Arg_3<=Arg_2 && 2+Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && 1+Arg_3<=Arg_0 && 0<=Arg_1+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 0<=Arg_1 && 0<=Arg_0 && 0<=Arg_0 && 0<=Arg_1
n_eval_foo_bb2_in___2->n_eval_foo_bb1_in___6
t₅₆
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1-1
τ = 1<=Arg_1+Arg_3 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 1<=Arg_1 && 0<=Arg_0 && 0<=Arg_0 && 0<=Arg_1
n_eval_foo_bb2_in___4->n_eval_foo_bb1_in___3
t₅₇
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1
τ = 1+Arg_1<=Arg_3 && 0<=Arg_0+Arg_3 && 1+Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=1+Arg_0+Arg_1 && 0<=Arg_0 && 1+Arg_1<=0 && 0<=1+Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<0
n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___5
t₅₈
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1
τ = Arg_3<=Arg_1 && Arg_1<=Arg_3 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 0<=Arg_0 && 0<=Arg_0 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && 0<=Arg_0 && Arg_1<0
n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___6
t₅₉
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1-1
τ = Arg_3<=Arg_1 && Arg_1<=Arg_3 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 0<=Arg_0 && 0<=Arg_0 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && 0<=Arg_0 && 0<=Arg_1
MPRF for transition 53:n_eval_foo_bb1_in___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___4(Arg_0,Arg_1,Arg_2,Arg_3):|:1+Arg_1<=Arg_3 && 0<=Arg_0+Arg_3 && 1+Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=1+Arg_0+Arg_1 && 0<=Arg_0 && 0<=Arg_0 && Arg_1<0 && 0<=Arg_0 && 0<=1+Arg_0+Arg_1 && 1+Arg_1<=0 && 0<=Arg_0 of depth 1:
new bound:
2*Arg_2+5*Arg_3+6 {O(n)}
MPRF:
n_eval_foo_bb2_in___2 [Arg_0+1 ]
n_eval_foo_bb1_in___6 [Arg_0+Arg_1+2 ]
n_eval_foo_bb2_in___4 [Arg_0+Arg_1+1 ]
n_eval_foo_bb1_in___3 [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
t₁
η (Arg_0) = Arg_2
η (Arg_1) = Arg_3
eval_foo_bb3_in
eval_foo_bb3_in
eval_foo_bb1_in->eval_foo_bb3_in
t₃
τ = Arg_3<=Arg_1 && Arg_1<=Arg_3 && Arg_2<=Arg_0 && Arg_0<=Arg_2 && Arg_0<0
n_eval_foo_bb2_in___7
n_eval_foo_bb2_in___7
eval_foo_bb1_in->n_eval_foo_bb2_in___7
t₅₄
τ = Arg_3<=Arg_1 && Arg_1<=Arg_3 && Arg_2<=Arg_0 && Arg_0<=Arg_2 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && 0<=Arg_0
eval_foo_stop
eval_foo_stop
eval_foo_bb3_in->eval_foo_stop
t₆
τ = 1+Arg_0<=0 && 1+Arg_0<=0
eval_foo_start
eval_foo_start
eval_foo_start->eval_foo_bb0_in
t₀
n_eval_foo_bb1_in___3
n_eval_foo_bb1_in___3
n_eval_foo_bb1_in___3->eval_foo_bb3_in
t₆₇
τ = 1<=Arg_1+Arg_3 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<0
n_eval_foo_bb2_in___2
n_eval_foo_bb2_in___2
n_eval_foo_bb1_in___3->n_eval_foo_bb2_in___2
t₅₁
τ = 1<=Arg_1+Arg_3 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 1<=Arg_1 && 0<=Arg_0
n_eval_foo_bb1_in___5
n_eval_foo_bb1_in___5
n_eval_foo_bb1_in___5->eval_foo_bb3_in
t₆₈
τ = 1+Arg_3<=0 && 1+Arg_3<=Arg_2 && 2+Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && Arg_3<=Arg_0 && 0<=Arg_1+Arg_3 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<0
n_eval_foo_bb2_in___1
n_eval_foo_bb2_in___1
n_eval_foo_bb1_in___5->n_eval_foo_bb2_in___1
t₅₂
τ = 1+Arg_3<=0 && 1+Arg_3<=Arg_2 && 2+Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && Arg_3<=Arg_0 && 0<=Arg_1+Arg_3 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_1 && 0<=Arg_0
n_eval_foo_bb1_in___6
n_eval_foo_bb1_in___6
n_eval_foo_bb2_in___4
n_eval_foo_bb2_in___4
n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___4
t₅₃
τ = 1+Arg_1<=Arg_3 && 0<=Arg_0+Arg_3 && 1+Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=1+Arg_0+Arg_1 && 0<=Arg_0 && 0<=Arg_0 && Arg_1<0 && 0<=Arg_0 && 0<=1+Arg_0+Arg_1 && 1+Arg_1<=0 && 0<=Arg_0
n_eval_foo_bb2_in___1->n_eval_foo_bb1_in___6
t₅₅
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1-1
τ = 1+Arg_3<=0 && 2+Arg_3<=Arg_2 && 2+Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && 1+Arg_3<=Arg_0 && 0<=Arg_1+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 0<=Arg_1 && 0<=Arg_0 && 0<=Arg_0 && 0<=Arg_1
n_eval_foo_bb2_in___2->n_eval_foo_bb1_in___6
t₅₆
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1-1
τ = 1<=Arg_1+Arg_3 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 1<=Arg_1 && 0<=Arg_0 && 0<=Arg_0 && 0<=Arg_1
n_eval_foo_bb2_in___4->n_eval_foo_bb1_in___3
t₅₇
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1
τ = 1+Arg_1<=Arg_3 && 0<=Arg_0+Arg_3 && 1+Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=1+Arg_0+Arg_1 && 0<=Arg_0 && 1+Arg_1<=0 && 0<=1+Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<0
n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___5
t₅₈
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1
τ = Arg_3<=Arg_1 && Arg_1<=Arg_3 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 0<=Arg_0 && 0<=Arg_0 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && 0<=Arg_0 && Arg_1<0
n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___6
t₅₉
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1-1
τ = Arg_3<=Arg_1 && Arg_1<=Arg_3 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 0<=Arg_0 && 0<=Arg_0 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && 0<=Arg_0 && 0<=Arg_1
MPRF for transition 56:n_eval_foo_bb2_in___2(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___6(Arg_0+Arg_1,-Arg_1-1,Arg_2,Arg_3):|:1<=Arg_1+Arg_3 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 1<=Arg_1 && 0<=Arg_0 && 0<=Arg_0 && 0<=Arg_1 of depth 1:
new bound:
2*Arg_2+5*Arg_3+4 {O(n)}
MPRF:
n_eval_foo_bb2_in___2 [Arg_0+1 ]
n_eval_foo_bb1_in___6 [Arg_0+Arg_1+1 ]
n_eval_foo_bb2_in___4 [Arg_0+Arg_1+1 ]
n_eval_foo_bb1_in___3 [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
t₁
η (Arg_0) = Arg_2
η (Arg_1) = Arg_3
eval_foo_bb3_in
eval_foo_bb3_in
eval_foo_bb1_in->eval_foo_bb3_in
t₃
τ = Arg_3<=Arg_1 && Arg_1<=Arg_3 && Arg_2<=Arg_0 && Arg_0<=Arg_2 && Arg_0<0
n_eval_foo_bb2_in___7
n_eval_foo_bb2_in___7
eval_foo_bb1_in->n_eval_foo_bb2_in___7
t₅₄
τ = Arg_3<=Arg_1 && Arg_1<=Arg_3 && Arg_2<=Arg_0 && Arg_0<=Arg_2 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && 0<=Arg_0
eval_foo_stop
eval_foo_stop
eval_foo_bb3_in->eval_foo_stop
t₆
τ = 1+Arg_0<=0 && 1+Arg_0<=0
eval_foo_start
eval_foo_start
eval_foo_start->eval_foo_bb0_in
t₀
n_eval_foo_bb1_in___3
n_eval_foo_bb1_in___3
n_eval_foo_bb1_in___3->eval_foo_bb3_in
t₆₇
τ = 1<=Arg_1+Arg_3 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<0
n_eval_foo_bb2_in___2
n_eval_foo_bb2_in___2
n_eval_foo_bb1_in___3->n_eval_foo_bb2_in___2
t₅₁
τ = 1<=Arg_1+Arg_3 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 1<=Arg_1 && 0<=Arg_0
n_eval_foo_bb1_in___5
n_eval_foo_bb1_in___5
n_eval_foo_bb1_in___5->eval_foo_bb3_in
t₆₈
τ = 1+Arg_3<=0 && 1+Arg_3<=Arg_2 && 2+Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && Arg_3<=Arg_0 && 0<=Arg_1+Arg_3 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<0
n_eval_foo_bb2_in___1
n_eval_foo_bb2_in___1
n_eval_foo_bb1_in___5->n_eval_foo_bb2_in___1
t₅₂
τ = 1+Arg_3<=0 && 1+Arg_3<=Arg_2 && 2+Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && Arg_3<=Arg_0 && 0<=Arg_1+Arg_3 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_1 && 0<=Arg_0
n_eval_foo_bb1_in___6
n_eval_foo_bb1_in___6
n_eval_foo_bb2_in___4
n_eval_foo_bb2_in___4
n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___4
t₅₃
τ = 1+Arg_1<=Arg_3 && 0<=Arg_0+Arg_3 && 1+Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=1+Arg_0+Arg_1 && 0<=Arg_0 && 0<=Arg_0 && Arg_1<0 && 0<=Arg_0 && 0<=1+Arg_0+Arg_1 && 1+Arg_1<=0 && 0<=Arg_0
n_eval_foo_bb2_in___1->n_eval_foo_bb1_in___6
t₅₅
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1-1
τ = 1+Arg_3<=0 && 2+Arg_3<=Arg_2 && 2+Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && 1+Arg_3<=Arg_0 && 0<=Arg_1+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 0<=Arg_1 && 0<=Arg_0 && 0<=Arg_0 && 0<=Arg_1
n_eval_foo_bb2_in___2->n_eval_foo_bb1_in___6
t₅₆
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1-1
τ = 1<=Arg_1+Arg_3 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 1<=Arg_1 && 0<=Arg_0 && 0<=Arg_0 && 0<=Arg_1
n_eval_foo_bb2_in___4->n_eval_foo_bb1_in___3
t₅₇
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1
τ = 1+Arg_1<=Arg_3 && 0<=Arg_0+Arg_3 && 1+Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=1+Arg_0+Arg_1 && 0<=Arg_0 && 1+Arg_1<=0 && 0<=1+Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<0
n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___5
t₅₈
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1
τ = Arg_3<=Arg_1 && Arg_1<=Arg_3 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 0<=Arg_0 && 0<=Arg_0 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && 0<=Arg_0 && Arg_1<0
n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___6
t₅₉
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1-1
τ = Arg_3<=Arg_1 && Arg_1<=Arg_3 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 0<=Arg_0 && 0<=Arg_0 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && 0<=Arg_0 && 0<=Arg_1
MPRF for transition 57:n_eval_foo_bb2_in___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___3(Arg_0+Arg_1,-Arg_1,Arg_2,Arg_3):|:1+Arg_1<=Arg_3 && 0<=Arg_0+Arg_3 && 1+Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=1+Arg_0+Arg_1 && 0<=Arg_0 && 1+Arg_1<=0 && 0<=1+Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<0 of depth 1:
new bound:
2*Arg_2+5*Arg_3+6 {O(n)}
MPRF:
n_eval_foo_bb2_in___2 [Arg_0+1 ]
n_eval_foo_bb1_in___6 [Arg_0+Arg_1+2 ]
n_eval_foo_bb2_in___4 [Arg_0+Arg_1+2 ]
n_eval_foo_bb1_in___3 [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
t₁
η (Arg_0) = Arg_2
η (Arg_1) = Arg_3
eval_foo_bb3_in
eval_foo_bb3_in
eval_foo_bb1_in->eval_foo_bb3_in
t₃
τ = Arg_3<=Arg_1 && Arg_1<=Arg_3 && Arg_2<=Arg_0 && Arg_0<=Arg_2 && Arg_0<0
n_eval_foo_bb2_in___7
n_eval_foo_bb2_in___7
eval_foo_bb1_in->n_eval_foo_bb2_in___7
t₅₄
τ = Arg_3<=Arg_1 && Arg_1<=Arg_3 && Arg_2<=Arg_0 && Arg_0<=Arg_2 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && 0<=Arg_0
eval_foo_stop
eval_foo_stop
eval_foo_bb3_in->eval_foo_stop
t₆
τ = 1+Arg_0<=0 && 1+Arg_0<=0
eval_foo_start
eval_foo_start
eval_foo_start->eval_foo_bb0_in
t₀
n_eval_foo_bb1_in___3
n_eval_foo_bb1_in___3
n_eval_foo_bb1_in___3->eval_foo_bb3_in
t₆₇
τ = 1<=Arg_1+Arg_3 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<0
n_eval_foo_bb2_in___2
n_eval_foo_bb2_in___2
n_eval_foo_bb1_in___3->n_eval_foo_bb2_in___2
t₅₁
τ = 1<=Arg_1+Arg_3 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 1<=Arg_1 && 0<=Arg_0
n_eval_foo_bb1_in___5
n_eval_foo_bb1_in___5
n_eval_foo_bb1_in___5->eval_foo_bb3_in
t₆₈
τ = 1+Arg_3<=0 && 1+Arg_3<=Arg_2 && 2+Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && Arg_3<=Arg_0 && 0<=Arg_1+Arg_3 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<0
n_eval_foo_bb2_in___1
n_eval_foo_bb2_in___1
n_eval_foo_bb1_in___5->n_eval_foo_bb2_in___1
t₅₂
τ = 1+Arg_3<=0 && 1+Arg_3<=Arg_2 && 2+Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && Arg_3<=Arg_0 && 0<=Arg_1+Arg_3 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_1 && 0<=Arg_0
n_eval_foo_bb1_in___6
n_eval_foo_bb1_in___6
n_eval_foo_bb2_in___4
n_eval_foo_bb2_in___4
n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___4
t₅₃
τ = 1+Arg_1<=Arg_3 && 0<=Arg_0+Arg_3 && 1+Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=1+Arg_0+Arg_1 && 0<=Arg_0 && 0<=Arg_0 && Arg_1<0 && 0<=Arg_0 && 0<=1+Arg_0+Arg_1 && 1+Arg_1<=0 && 0<=Arg_0
n_eval_foo_bb2_in___1->n_eval_foo_bb1_in___6
t₅₅
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1-1
τ = 1+Arg_3<=0 && 2+Arg_3<=Arg_2 && 2+Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && 1+Arg_3<=Arg_0 && 0<=Arg_1+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 0<=Arg_1 && 0<=Arg_0 && 0<=Arg_0 && 0<=Arg_1
n_eval_foo_bb2_in___2->n_eval_foo_bb1_in___6
t₅₆
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1-1
τ = 1<=Arg_1+Arg_3 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 1<=Arg_1 && 0<=Arg_0 && 0<=Arg_0 && 0<=Arg_1
n_eval_foo_bb2_in___4->n_eval_foo_bb1_in___3
t₅₇
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1
τ = 1+Arg_1<=Arg_3 && 0<=Arg_0+Arg_3 && 1+Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=1+Arg_0+Arg_1 && 0<=Arg_0 && 1+Arg_1<=0 && 0<=1+Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<0
n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___5
t₅₈
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1
τ = Arg_3<=Arg_1 && Arg_1<=Arg_3 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 0<=Arg_0 && 0<=Arg_0 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && 0<=Arg_0 && Arg_1<0
n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___6
t₅₉
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1-1
τ = Arg_3<=Arg_1 && Arg_1<=Arg_3 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 0<=Arg_0 && 0<=Arg_0 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && 0<=Arg_0 && 0<=Arg_1
CFR: Improvement to new bound with the following program:
new bound:
20*Arg_3+8*Arg_2+20 {O(n)}
cfr-program:
Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb3_in, eval_foo_start, eval_foo_stop, n_eval_foo_bb1_in___3, n_eval_foo_bb1_in___5, n_eval_foo_bb1_in___6, n_eval_foo_bb2_in___1, n_eval_foo_bb2_in___2, n_eval_foo_bb2_in___4, n_eval_foo_bb2_in___7
Transitions:
1:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_2,Arg_3,Arg_2,Arg_3)
3:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_1 && Arg_1<=Arg_3 && Arg_2<=Arg_0 && Arg_0<=Arg_2 && Arg_0<0
54:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_1 && Arg_1<=Arg_3 && Arg_2<=Arg_0 && Arg_0<=Arg_2 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && 0<=Arg_0
6:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_3):|:1+Arg_0<=0 && 1+Arg_0<=0
0:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3)
67:n_eval_foo_bb1_in___3(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_1+Arg_3 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<0
51:n_eval_foo_bb1_in___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___2(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_1+Arg_3 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 1<=Arg_1 && 0<=Arg_0
68:n_eval_foo_bb1_in___5(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:1+Arg_3<=0 && 1+Arg_3<=Arg_2 && 2+Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && Arg_3<=Arg_0 && 0<=Arg_1+Arg_3 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<0
52:n_eval_foo_bb1_in___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___1(Arg_0,Arg_1,Arg_2,Arg_3):|:1+Arg_3<=0 && 1+Arg_3<=Arg_2 && 2+Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && Arg_3<=Arg_0 && 0<=Arg_1+Arg_3 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_1 && 0<=Arg_0
53:n_eval_foo_bb1_in___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___4(Arg_0,Arg_1,Arg_2,Arg_3):|:1+Arg_1<=Arg_3 && 0<=Arg_0+Arg_3 && 1+Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=1+Arg_0+Arg_1 && 0<=Arg_0 && 0<=Arg_0 && Arg_1<0 && 0<=Arg_0 && 0<=1+Arg_0+Arg_1 && 1+Arg_1<=0 && 0<=Arg_0
55:n_eval_foo_bb2_in___1(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___6(Arg_0+Arg_1,-Arg_1-1,Arg_2,Arg_3):|:1+Arg_3<=0 && 2+Arg_3<=Arg_2 && 2+Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && 1+Arg_3<=Arg_0 && 0<=Arg_1+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 0<=Arg_1 && 0<=Arg_0 && 0<=Arg_0 && 0<=Arg_1
56:n_eval_foo_bb2_in___2(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___6(Arg_0+Arg_1,-Arg_1-1,Arg_2,Arg_3):|:1<=Arg_1+Arg_3 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 1<=Arg_1 && 0<=Arg_0 && 0<=Arg_0 && 0<=Arg_1
57:n_eval_foo_bb2_in___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___3(Arg_0+Arg_1,-Arg_1,Arg_2,Arg_3):|:1+Arg_1<=Arg_3 && 0<=Arg_0+Arg_3 && 1+Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=1+Arg_0+Arg_1 && 0<=Arg_0 && 1+Arg_1<=0 && 0<=1+Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<0
58:n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___5(Arg_0+Arg_1,-Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_1 && Arg_1<=Arg_3 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 0<=Arg_0 && 0<=Arg_0 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && 0<=Arg_0 && Arg_1<0
59:n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___6(Arg_0+Arg_1,-Arg_1-1,Arg_2,Arg_3):|:Arg_3<=Arg_1 && Arg_1<=Arg_3 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 0<=Arg_0 && 0<=Arg_0 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && 0<=Arg_0 && 0<=Arg_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_2
η (Arg_1) = Arg_3
eval_foo_bb3_in
eval_foo_bb3_in
eval_foo_bb1_in->eval_foo_bb3_in
t₃
τ = Arg_3<=Arg_1 && Arg_1<=Arg_3 && Arg_2<=Arg_0 && Arg_0<=Arg_2 && Arg_0<0
n_eval_foo_bb2_in___7
n_eval_foo_bb2_in___7
eval_foo_bb1_in->n_eval_foo_bb2_in___7
t₅₄
τ = Arg_3<=Arg_1 && Arg_1<=Arg_3 && Arg_2<=Arg_0 && Arg_0<=Arg_2 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && 0<=Arg_0
eval_foo_stop
eval_foo_stop
eval_foo_bb3_in->eval_foo_stop
t₆
τ = 1+Arg_0<=0 && 1+Arg_0<=0
eval_foo_start
eval_foo_start
eval_foo_start->eval_foo_bb0_in
t₀
n_eval_foo_bb1_in___3
n_eval_foo_bb1_in___3
n_eval_foo_bb1_in___3->eval_foo_bb3_in
t₆₇
τ = 1<=Arg_1+Arg_3 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<0
n_eval_foo_bb2_in___2
n_eval_foo_bb2_in___2
n_eval_foo_bb1_in___3->n_eval_foo_bb2_in___2
t₅₁
τ = 1<=Arg_1+Arg_3 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 1<=Arg_1 && 0<=Arg_0
n_eval_foo_bb1_in___5
n_eval_foo_bb1_in___5
n_eval_foo_bb1_in___5->eval_foo_bb3_in
t₆₈
τ = 1+Arg_3<=0 && 1+Arg_3<=Arg_2 && 2+Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && Arg_3<=Arg_0 && 0<=Arg_1+Arg_3 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<0
n_eval_foo_bb2_in___1
n_eval_foo_bb2_in___1
n_eval_foo_bb1_in___5->n_eval_foo_bb2_in___1
t₅₂
τ = 1+Arg_3<=0 && 1+Arg_3<=Arg_2 && 2+Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && Arg_3<=Arg_0 && 0<=Arg_1+Arg_3 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_1 && 0<=Arg_0
n_eval_foo_bb1_in___6
n_eval_foo_bb1_in___6
n_eval_foo_bb2_in___4
n_eval_foo_bb2_in___4
n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___4
t₅₃
τ = 1+Arg_1<=Arg_3 && 0<=Arg_0+Arg_3 && 1+Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=1+Arg_0+Arg_1 && 0<=Arg_0 && 0<=Arg_0 && Arg_1<0 && 0<=Arg_0 && 0<=1+Arg_0+Arg_1 && 1+Arg_1<=0 && 0<=Arg_0
n_eval_foo_bb2_in___1->n_eval_foo_bb1_in___6
t₅₅
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1-1
τ = 1+Arg_3<=0 && 2+Arg_3<=Arg_2 && 2+Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && 1+Arg_3<=Arg_0 && 0<=Arg_1+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 0<=Arg_1 && 0<=Arg_0 && 0<=Arg_0 && 0<=Arg_1
n_eval_foo_bb2_in___2->n_eval_foo_bb1_in___6
t₅₆
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1-1
τ = 1<=Arg_1+Arg_3 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 1<=Arg_1 && 0<=Arg_0 && 0<=Arg_0 && 0<=Arg_1
n_eval_foo_bb2_in___4->n_eval_foo_bb1_in___3
t₅₇
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1
τ = 1+Arg_1<=Arg_3 && 0<=Arg_0+Arg_3 && 1+Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=1+Arg_0+Arg_1 && 0<=Arg_0 && 1+Arg_1<=0 && 0<=1+Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<0
n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___5
t₅₈
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1
τ = Arg_3<=Arg_1 && Arg_1<=Arg_3 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 0<=Arg_0 && 0<=Arg_0 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && 0<=Arg_0 && Arg_1<0
n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___6
t₅₉
η (Arg_0) = Arg_0+Arg_1
η (Arg_1) = -Arg_1-1
τ = Arg_3<=Arg_1 && Arg_1<=Arg_3 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 0<=Arg_0 && 0<=Arg_0 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && 0<=Arg_0 && 0<=Arg_1
All Bounds
Timebounds
Overall timebound:20*Arg_3+8*Arg_2+31 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
3: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
54: eval_foo_bb1_in->n_eval_foo_bb2_in___7: 1 {O(1)}
6: eval_foo_bb3_in->eval_foo_stop: 1 {O(1)}
0: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}
51: n_eval_foo_bb1_in___3->n_eval_foo_bb2_in___2: 2*Arg_2+5*Arg_3+4 {O(n)}
67: n_eval_foo_bb1_in___3->eval_foo_bb3_in: 1 {O(1)}
52: n_eval_foo_bb1_in___5->n_eval_foo_bb2_in___1: 1 {O(1)}
68: n_eval_foo_bb1_in___5->eval_foo_bb3_in: 1 {O(1)}
53: n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___4: 2*Arg_2+5*Arg_3+6 {O(n)}
55: n_eval_foo_bb2_in___1->n_eval_foo_bb1_in___6: 1 {O(1)}
56: n_eval_foo_bb2_in___2->n_eval_foo_bb1_in___6: 2*Arg_2+5*Arg_3+4 {O(n)}
57: n_eval_foo_bb2_in___4->n_eval_foo_bb1_in___3: 2*Arg_2+5*Arg_3+6 {O(n)}
58: n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___5: 1 {O(1)}
59: n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___6: 1 {O(1)}
Costbounds
Overall costbound: 20*Arg_3+8*Arg_2+31 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
3: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
54: eval_foo_bb1_in->n_eval_foo_bb2_in___7: 1 {O(1)}
6: eval_foo_bb3_in->eval_foo_stop: 1 {O(1)}
0: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}
51: n_eval_foo_bb1_in___3->n_eval_foo_bb2_in___2: 2*Arg_2+5*Arg_3+4 {O(n)}
67: n_eval_foo_bb1_in___3->eval_foo_bb3_in: 1 {O(1)}
52: n_eval_foo_bb1_in___5->n_eval_foo_bb2_in___1: 1 {O(1)}
68: n_eval_foo_bb1_in___5->eval_foo_bb3_in: 1 {O(1)}
53: n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___4: 2*Arg_2+5*Arg_3+6 {O(n)}
55: n_eval_foo_bb2_in___1->n_eval_foo_bb1_in___6: 1 {O(1)}
56: n_eval_foo_bb2_in___2->n_eval_foo_bb1_in___6: 2*Arg_2+5*Arg_3+4 {O(n)}
57: n_eval_foo_bb2_in___4->n_eval_foo_bb1_in___3: 2*Arg_2+5*Arg_3+6 {O(n)}
58: n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___5: 1 {O(1)}
59: n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___6: 1 {O(1)}
Sizebounds
1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: Arg_2 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_1: Arg_3 {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)}
3: eval_foo_bb1_in->eval_foo_bb3_in, Arg_0: Arg_2 {O(n)}
3: eval_foo_bb1_in->eval_foo_bb3_in, Arg_1: Arg_3 {O(n)}
3: eval_foo_bb1_in->eval_foo_bb3_in, Arg_2: Arg_2 {O(n)}
3: eval_foo_bb1_in->eval_foo_bb3_in, Arg_3: Arg_3 {O(n)}
54: eval_foo_bb1_in->n_eval_foo_bb2_in___7, Arg_0: Arg_2 {O(n)}
54: eval_foo_bb1_in->n_eval_foo_bb2_in___7, Arg_1: Arg_3 {O(n)}
54: eval_foo_bb1_in->n_eval_foo_bb2_in___7, Arg_2: Arg_2 {O(n)}
54: eval_foo_bb1_in->n_eval_foo_bb2_in___7, Arg_3: Arg_3 {O(n)}
6: eval_foo_bb3_in->eval_foo_stop, Arg_0: 2*Arg_3*Arg_3+4*Arg_2*Arg_2+6*Arg_2*Arg_3+10*Arg_2+7*Arg_3+3 {O(n^2)}
6: eval_foo_bb3_in->eval_foo_stop, Arg_1: 2*Arg_2+9*Arg_3+6 {O(n)}
6: eval_foo_bb3_in->eval_foo_stop, Arg_2: 4*Arg_2 {O(n)}
6: eval_foo_bb3_in->eval_foo_stop, Arg_3: 4*Arg_3 {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)}
51: n_eval_foo_bb1_in___3->n_eval_foo_bb2_in___2, Arg_0: 24*Arg_2*Arg_3+35*Arg_3*Arg_3+4*Arg_2*Arg_2+24*Arg_2+68*Arg_3+31 {O(n^2)}
51: n_eval_foo_bb1_in___3->n_eval_foo_bb2_in___2, Arg_1: 2*Arg_2+7*Arg_3+6 {O(n)}
51: n_eval_foo_bb1_in___3->n_eval_foo_bb2_in___2, Arg_2: 2*Arg_2 {O(n)}
51: n_eval_foo_bb1_in___3->n_eval_foo_bb2_in___2, Arg_3: 2*Arg_3 {O(n)}
67: n_eval_foo_bb1_in___3->eval_foo_bb3_in, Arg_0: 24*Arg_2*Arg_3+35*Arg_3*Arg_3+4*Arg_2*Arg_2+24*Arg_2+68*Arg_3+31 {O(n^2)}
67: n_eval_foo_bb1_in___3->eval_foo_bb3_in, Arg_1: 2*Arg_2+7*Arg_3+6 {O(n)}
67: n_eval_foo_bb1_in___3->eval_foo_bb3_in, Arg_2: 2*Arg_2 {O(n)}
67: n_eval_foo_bb1_in___3->eval_foo_bb3_in, Arg_3: 2*Arg_3 {O(n)}
52: n_eval_foo_bb1_in___5->n_eval_foo_bb2_in___1, Arg_0: Arg_2+Arg_3 {O(n)}
52: n_eval_foo_bb1_in___5->n_eval_foo_bb2_in___1, Arg_1: Arg_3 {O(n)}
52: n_eval_foo_bb1_in___5->n_eval_foo_bb2_in___1, Arg_2: Arg_2 {O(n)}
52: n_eval_foo_bb1_in___5->n_eval_foo_bb2_in___1, Arg_3: Arg_3 {O(n)}
68: n_eval_foo_bb1_in___5->eval_foo_bb3_in, Arg_0: Arg_2+Arg_3 {O(n)}
68: n_eval_foo_bb1_in___5->eval_foo_bb3_in, Arg_1: Arg_3 {O(n)}
68: n_eval_foo_bb1_in___5->eval_foo_bb3_in, Arg_2: Arg_2 {O(n)}
68: n_eval_foo_bb1_in___5->eval_foo_bb3_in, Arg_3: Arg_3 {O(n)}
53: n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___4, Arg_0: 24*Arg_2*Arg_3+35*Arg_3*Arg_3+4*Arg_2*Arg_2+24*Arg_2+68*Arg_3+31 {O(n^2)}
53: n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___4, Arg_1: 2*Arg_2+7*Arg_3+6 {O(n)}
53: n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___4, Arg_2: 2*Arg_2 {O(n)}
53: n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___4, Arg_3: 2*Arg_3 {O(n)}
55: n_eval_foo_bb2_in___1->n_eval_foo_bb1_in___6, Arg_0: 2*Arg_3+Arg_2 {O(n)}
55: n_eval_foo_bb2_in___1->n_eval_foo_bb1_in___6, Arg_1: Arg_3+1 {O(n)}
55: n_eval_foo_bb2_in___1->n_eval_foo_bb1_in___6, Arg_2: Arg_2 {O(n)}
55: n_eval_foo_bb2_in___1->n_eval_foo_bb1_in___6, Arg_3: Arg_3 {O(n)}
56: n_eval_foo_bb2_in___2->n_eval_foo_bb1_in___6, Arg_0: 24*Arg_2*Arg_3+35*Arg_3*Arg_3+4*Arg_2*Arg_2+24*Arg_2+68*Arg_3+31 {O(n^2)}
56: n_eval_foo_bb2_in___2->n_eval_foo_bb1_in___6, Arg_1: 2*Arg_2+7*Arg_3+6 {O(n)}
56: n_eval_foo_bb2_in___2->n_eval_foo_bb1_in___6, Arg_2: 2*Arg_2 {O(n)}
56: n_eval_foo_bb2_in___2->n_eval_foo_bb1_in___6, Arg_3: 2*Arg_3 {O(n)}
57: n_eval_foo_bb2_in___4->n_eval_foo_bb1_in___3, Arg_0: 24*Arg_2*Arg_3+35*Arg_3*Arg_3+4*Arg_2*Arg_2+24*Arg_2+68*Arg_3+31 {O(n^2)}
57: n_eval_foo_bb2_in___4->n_eval_foo_bb1_in___3, Arg_1: 2*Arg_2+7*Arg_3+6 {O(n)}
57: n_eval_foo_bb2_in___4->n_eval_foo_bb1_in___3, Arg_2: 2*Arg_2 {O(n)}
57: n_eval_foo_bb2_in___4->n_eval_foo_bb1_in___3, Arg_3: 2*Arg_3 {O(n)}
58: n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___5, Arg_0: Arg_2+Arg_3 {O(n)}
58: n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___5, Arg_1: Arg_3 {O(n)}
58: n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___5, Arg_2: Arg_2 {O(n)}
58: n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___5, Arg_3: Arg_3 {O(n)}
59: n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___6, Arg_0: Arg_2+Arg_3 {O(n)}
59: n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___6, Arg_1: Arg_3+1 {O(n)}
59: n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___6, Arg_2: Arg_2 {O(n)}
59: n_eval_foo_bb2_in___7->n_eval_foo_bb1_in___6, Arg_3: Arg_3 {O(n)}