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_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(0,0,Arg_2,Arg_3,Arg_4,Arg_5):|:0<Arg_4 && Arg_4<Arg_5
2:eval_foo_bb0_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):|:Arg_4<=0
3:eval_foo_bb0_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):|:Arg_5<=Arg_4
4: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_0<Arg_5
5:eval_foo_bb1_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):|:Arg_5<=Arg_0
6:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_0,Arg_1+1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_1<Arg_4 && Arg_1<Arg_4
7:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_0+1,Arg_1+1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_1<Arg_4 && Arg_4<=Arg_1
8:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_0,0,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_4<=Arg_1 && Arg_1<Arg_4
9:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_0+1,0,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_4<=Arg_1 && Arg_4<=Arg_1
10:eval_foo_bb3_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)

Preprocessing

Cut unsatisfiable transition 7: eval_foo_bb2_in->eval_foo_bb1_in

Cut unsatisfiable transition 8: eval_foo_bb2_in->eval_foo_bb1_in

Eliminate variables {Arg_2,Arg_3} that do not contribute to the problem

Found invariant 2<=Arg_5 && 3<=Arg_4+Arg_5 && 1+Arg_4<=Arg_5 && 2<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1+Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location eval_foo_bb2_in

Found invariant 2<=Arg_5 && 3<=Arg_4+Arg_5 && 1+Arg_4<=Arg_5 && 2<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location eval_foo_bb1_in

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, 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_start, eval_foo_stop
Transitions:
22:eval_foo_bb0_in(Arg_0,Arg_1,Arg_4,Arg_5) -> eval_foo_bb1_in(0,0,Arg_4,Arg_5):|:0<Arg_4 && Arg_4<Arg_5
23:eval_foo_bb0_in(Arg_0,Arg_1,Arg_4,Arg_5) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_4,Arg_5):|:Arg_4<=0
24:eval_foo_bb0_in(Arg_0,Arg_1,Arg_4,Arg_5) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_4,Arg_5):|:Arg_5<=Arg_4
25:eval_foo_bb1_in(Arg_0,Arg_1,Arg_4,Arg_5) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_4,Arg_5):|:2<=Arg_5 && 3<=Arg_4+Arg_5 && 1+Arg_4<=Arg_5 && 2<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_0<Arg_5
26:eval_foo_bb1_in(Arg_0,Arg_1,Arg_4,Arg_5) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_4,Arg_5):|:2<=Arg_5 && 3<=Arg_4+Arg_5 && 1+Arg_4<=Arg_5 && 2<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_5<=Arg_0
27:eval_foo_bb2_in(Arg_0,Arg_1,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_0,Arg_1+1,Arg_4,Arg_5):|:2<=Arg_5 && 3<=Arg_4+Arg_5 && 1+Arg_4<=Arg_5 && 2<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1+Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<Arg_4 && Arg_1<Arg_4
28:eval_foo_bb2_in(Arg_0,Arg_1,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_0+1,0,Arg_4,Arg_5):|:2<=Arg_5 && 3<=Arg_4+Arg_5 && 1+Arg_4<=Arg_5 && 2<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1+Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_4<=Arg_1 && Arg_4<=Arg_1
29:eval_foo_bb3_in(Arg_0,Arg_1,Arg_4,Arg_5) -> eval_foo_stop(Arg_0,Arg_1,Arg_4,Arg_5)
30:eval_foo_start(Arg_0,Arg_1,Arg_4,Arg_5) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_4,Arg_5)

MPRF for transition 28:eval_foo_bb2_in(Arg_0,Arg_1,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_0+1,0,Arg_4,Arg_5):|:2<=Arg_5 && 3<=Arg_4+Arg_5 && 1+Arg_4<=Arg_5 && 2<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1+Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_4<=Arg_1 && Arg_4<=Arg_1 of depth 1:

new bound:

Arg_5 {O(n)}

MPRF:

eval_foo_bb2_in [Arg_5-Arg_0 ]
eval_foo_bb1_in [Arg_5-Arg_0 ]

MPRF for transition 25:eval_foo_bb1_in(Arg_0,Arg_1,Arg_4,Arg_5) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_4,Arg_5):|:2<=Arg_5 && 3<=Arg_4+Arg_5 && 1+Arg_4<=Arg_5 && 2<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_0<Arg_5 of depth 1:

new bound:

Arg_5*Arg_5+Arg_5 {O(n^2)}

MPRF:

eval_foo_bb2_in [Arg_5-Arg_1-1 ]
eval_foo_bb1_in [Arg_5-Arg_1 ]

MPRF for transition 27:eval_foo_bb2_in(Arg_0,Arg_1,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_0,Arg_1+1,Arg_4,Arg_5):|:2<=Arg_5 && 3<=Arg_4+Arg_5 && 1+Arg_4<=Arg_5 && 2<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1+Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<Arg_4 && Arg_1<Arg_4 of depth 1:

new bound:

Arg_4*Arg_5+Arg_4+Arg_5+1 {O(n^2)}

MPRF:

eval_foo_bb2_in [Arg_4+1-Arg_1 ]
eval_foo_bb1_in [Arg_4+1-Arg_1 ]

Analysing control-flow refined program

Cut unsatisfiable transition 26: eval_foo_bb1_in->eval_foo_bb3_in

Cut unsatisfiable transition 82: n_eval_foo_bb1_in___1->eval_foo_bb3_in

Cut unsatisfiable transition 84: n_eval_foo_bb1_in___5->eval_foo_bb3_in

Found invariant 2<=Arg_5 && 3<=Arg_4+Arg_5 && 1+Arg_4<=Arg_5 && 3<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1+Arg_0<=Arg_5 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_foo_bb2_in___4

Found invariant 2<=Arg_5 && 3<=Arg_4+Arg_5 && 1+Arg_4<=Arg_5 && 3<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 1+Arg_0<=Arg_5 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && Arg_1<=1 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location n_eval_foo_bb1_in___1

Found invariant 2<=Arg_5 && 3<=Arg_4+Arg_5 && 1+Arg_4<=Arg_5 && 2<=Arg_1+Arg_5 && 2+Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 1+Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 for location n_eval_foo_bb2_in___2

Found invariant 2<=Arg_5 && 3<=Arg_4+Arg_5 && 1+Arg_4<=Arg_5 && 2<=Arg_1+Arg_5 && 2+Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 for location n_eval_foo_bb1_in___3

Found invariant 2<=Arg_5 && 3<=Arg_4+Arg_5 && 1+Arg_4<=Arg_5 && 3<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1+Arg_0<=Arg_5 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_foo_bb1_in___5

Found invariant 2<=Arg_5 && 3<=Arg_4+Arg_5 && 1+Arg_4<=Arg_5 && 2<=Arg_1+Arg_5 && 2+Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 2+Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location eval_foo_bb1_in

Found invariant 2<=Arg_5 && 3<=Arg_4+Arg_5 && 1+Arg_4<=Arg_5 && 2<=Arg_1+Arg_5 && 2+Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 2+Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_eval_foo_bb2_in___6

MPRF for transition 67:n_eval_foo_bb1_in___1(Arg_0,Arg_1,Arg_4,Arg_5) -> n_eval_foo_bb2_in___4(Arg_0,Arg_1,Arg_4,Arg_5):|:2<=Arg_5 && 3<=Arg_4+Arg_5 && 1+Arg_4<=Arg_5 && 3<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 1+Arg_0<=Arg_5 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && Arg_1<=1 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0 && Arg_0<Arg_5 && Arg_1<=Arg_4 && 1<=Arg_4 && 1+Arg_4<=Arg_5 && 1+Arg_0<=Arg_5 && 1<=Arg_1 && 1+Arg_1<=Arg_5 && Arg_1<=Arg_4 && 1+Arg_4<=Arg_5 && 1<=Arg_4 && 1+Arg_0<=Arg_5 && 0<=Arg_1 && 0<=Arg_0 && Arg_1<=Arg_4 && 1+Arg_4<=Arg_5 && 1<=Arg_1 && 0<=Arg_0 && 1+Arg_0<=Arg_5 && 1<=Arg_4 && 1+Arg_4<=Arg_5 && Arg_1<=Arg_4 && 0<=Arg_1 && 0<=Arg_0 && Arg_0<Arg_5 of depth 1:

new bound:

Arg_5+1 {O(n)}

MPRF:

n_eval_foo_bb2_in___2 [Arg_5-Arg_0 ]
n_eval_foo_bb1_in___1 [Arg_5-Arg_0 ]
n_eval_foo_bb1_in___3 [Arg_5-Arg_0 ]
n_eval_foo_bb2_in___4 [Arg_5-Arg_0-1 ]
n_eval_foo_bb1_in___5 [Arg_5-Arg_0-1 ]

MPRF for transition 68:n_eval_foo_bb1_in___3(Arg_0,Arg_1,Arg_4,Arg_5) -> n_eval_foo_bb2_in___2(Arg_0,Arg_1,Arg_4,Arg_5):|:2<=Arg_5 && 3<=Arg_4+Arg_5 && 1+Arg_4<=Arg_5 && 2<=Arg_1+Arg_5 && 2+Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0 && Arg_1<=Arg_4 && 1<=Arg_4 && 1+Arg_4<=Arg_5 && Arg_1<Arg_4 && 1+Arg_1<=Arg_5 && Arg_1<=0 && 0<=Arg_1 && 1<=Arg_4 && 1+Arg_4<=Arg_5 && 1<=Arg_0 && Arg_0<=Arg_5 && 1<=Arg_4 && 1+Arg_4<=Arg_5 && Arg_1<=Arg_4 && 0<=Arg_1 && 0<=Arg_0 && Arg_0<Arg_5 of depth 1:

new bound:

Arg_5 {O(n)}

MPRF:

n_eval_foo_bb2_in___2 [Arg_5-Arg_0 ]
n_eval_foo_bb1_in___1 [Arg_5-Arg_0 ]
n_eval_foo_bb1_in___3 [Arg_5+1-Arg_0 ]
n_eval_foo_bb2_in___4 [Arg_5-Arg_0 ]
n_eval_foo_bb1_in___5 [Arg_5-Arg_0 ]

MPRF for transition 71:n_eval_foo_bb2_in___2(Arg_0,Arg_1,Arg_4,Arg_5) -> n_eval_foo_bb1_in___1(Arg_0,Arg_1+1,Arg_4,Arg_5):|:2<=Arg_5 && 3<=Arg_4+Arg_5 && 1+Arg_4<=Arg_5 && 2<=Arg_1+Arg_5 && 2+Arg_1<=Arg_5 && 3<=Arg_0+Arg_5 && 1+Arg_0<=Arg_5 && 1<=Arg_4 && 1<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0<Arg_5 && 1<=Arg_0 && 1+Arg_4<=Arg_5 && 1<=Arg_4 && Arg_1<=0 && 0<=Arg_1 && 1<=Arg_4 && 1+Arg_4<=Arg_5 && 0<=Arg_1 && Arg_1<Arg_4 && 0<=Arg_0 && 1+Arg_0<=Arg_5 of depth 1:

new bound:

Arg_5 {O(n)}

MPRF:

n_eval_foo_bb2_in___2 [Arg_5+1-Arg_0 ]
n_eval_foo_bb1_in___1 [Arg_5-Arg_0 ]
n_eval_foo_bb1_in___3 [Arg_5+1-Arg_0 ]
n_eval_foo_bb2_in___4 [Arg_5-Arg_0 ]
n_eval_foo_bb1_in___5 [Arg_5-Arg_0 ]

MPRF for transition 72:n_eval_foo_bb2_in___4(Arg_0,Arg_1,Arg_4,Arg_5) -> n_eval_foo_bb1_in___3(Arg_0+1,0,Arg_1,Arg_5):|:2<=Arg_5 && 3<=Arg_4+Arg_5 && 1+Arg_4<=Arg_5 && 3<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1+Arg_0<=Arg_5 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 1+Arg_0<=Arg_5 && 0<=Arg_0 && 1<=Arg_1 && 1+Arg_4<=Arg_5 && Arg_1<=Arg_4 && 1<=Arg_1 && 1+Arg_1<=Arg_5 && 1+Arg_0<=Arg_5 && 0<=Arg_0 && Arg_1<=Arg_4 && Arg_4<=Arg_1 of depth 1:

new bound:

Arg_5 {O(n)}

MPRF:

n_eval_foo_bb2_in___2 [Arg_5-Arg_0 ]
n_eval_foo_bb1_in___1 [Arg_5-Arg_0 ]
n_eval_foo_bb1_in___3 [Arg_5-Arg_0 ]
n_eval_foo_bb2_in___4 [Arg_5-Arg_0 ]
n_eval_foo_bb1_in___5 [Arg_5-Arg_0 ]

MPRF for transition 69:n_eval_foo_bb1_in___5(Arg_0,Arg_1,Arg_4,Arg_5) -> n_eval_foo_bb2_in___4(Arg_0,Arg_1,Arg_4,Arg_5):|:2<=Arg_5 && 3<=Arg_4+Arg_5 && 1+Arg_4<=Arg_5 && 3<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1+Arg_0<=Arg_5 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 0<=Arg_1 && 0<=Arg_0 && Arg_0<Arg_5 && 1<=Arg_4 && 1+Arg_4<=Arg_5 && 1+Arg_0<=Arg_5 && 1<=Arg_1 && 1<=Arg_4 && 1+Arg_4<=Arg_5 && Arg_1<=Arg_4 && 0<=Arg_1 && 0<=Arg_0 && Arg_0<Arg_5 of depth 1:

new bound:

Arg_5*Arg_5+Arg_4+2 {O(n^2)}

MPRF:

n_eval_foo_bb1_in___3 [Arg_5 ]
n_eval_foo_bb2_in___2 [Arg_4 ]
n_eval_foo_bb1_in___1 [Arg_4-Arg_1 ]
n_eval_foo_bb2_in___4 [Arg_4-Arg_1 ]
n_eval_foo_bb1_in___5 [Arg_4+1-Arg_1 ]

MPRF for transition 73:n_eval_foo_bb2_in___4(Arg_0,Arg_1,Arg_4,Arg_5) -> n_eval_foo_bb1_in___5(Arg_0,Arg_1+1,Arg_4,Arg_5):|:2<=Arg_5 && 3<=Arg_4+Arg_5 && 1+Arg_4<=Arg_5 && 3<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1+Arg_0<=Arg_5 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 1+Arg_0<=Arg_5 && 0<=Arg_0 && 1<=Arg_1 && 1+Arg_4<=Arg_5 && Arg_1<=Arg_4 && 1<=Arg_4 && 1+Arg_4<=Arg_5 && 0<=Arg_1 && Arg_1<Arg_4 && 0<=Arg_0 && 1+Arg_0<=Arg_5 of depth 1:

new bound:

2*Arg_5*Arg_5+2*Arg_4+2 {O(n^2)}

MPRF:

n_eval_foo_bb1_in___3 [2*Arg_5 ]
n_eval_foo_bb2_in___2 [2*Arg_4 ]
n_eval_foo_bb1_in___1 [2*Arg_4-Arg_1 ]
n_eval_foo_bb2_in___4 [2*Arg_4-Arg_1-1 ]
n_eval_foo_bb1_in___5 [2*Arg_4-Arg_1-1 ]

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:Arg_4*Arg_5+Arg_5*Arg_5+3*Arg_5+Arg_4+7 {O(n^2)}
22: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
23: eval_foo_bb0_in->eval_foo_bb3_in: 1 {O(1)}
24: eval_foo_bb0_in->eval_foo_bb3_in: 1 {O(1)}
25: eval_foo_bb1_in->eval_foo_bb2_in: Arg_5*Arg_5+Arg_5 {O(n^2)}
26: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
27: eval_foo_bb2_in->eval_foo_bb1_in: Arg_4*Arg_5+Arg_4+Arg_5+1 {O(n^2)}
28: eval_foo_bb2_in->eval_foo_bb1_in: Arg_5 {O(n)}
29: eval_foo_bb3_in->eval_foo_stop: 1 {O(1)}
30: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: Arg_4*Arg_5+Arg_5*Arg_5+3*Arg_5+Arg_4+7 {O(n^2)}
22: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
23: eval_foo_bb0_in->eval_foo_bb3_in: 1 {O(1)}
24: eval_foo_bb0_in->eval_foo_bb3_in: 1 {O(1)}
25: eval_foo_bb1_in->eval_foo_bb2_in: Arg_5*Arg_5+Arg_5 {O(n^2)}
26: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
27: eval_foo_bb2_in->eval_foo_bb1_in: Arg_4*Arg_5+Arg_4+Arg_5+1 {O(n^2)}
28: eval_foo_bb2_in->eval_foo_bb1_in: Arg_5 {O(n)}
29: eval_foo_bb3_in->eval_foo_stop: 1 {O(1)}
30: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Sizebounds

22: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: 0 {O(1)}
22: eval_foo_bb0_in->eval_foo_bb1_in, Arg_1: 0 {O(1)}
22: eval_foo_bb0_in->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
22: eval_foo_bb0_in->eval_foo_bb1_in, Arg_5: Arg_5 {O(n)}
23: eval_foo_bb0_in->eval_foo_bb3_in, Arg_0: Arg_0 {O(n)}
23: eval_foo_bb0_in->eval_foo_bb3_in, Arg_1: Arg_1 {O(n)}
23: eval_foo_bb0_in->eval_foo_bb3_in, Arg_4: Arg_4 {O(n)}
23: eval_foo_bb0_in->eval_foo_bb3_in, Arg_5: Arg_5 {O(n)}
24: eval_foo_bb0_in->eval_foo_bb3_in, Arg_0: Arg_0 {O(n)}
24: eval_foo_bb0_in->eval_foo_bb3_in, Arg_1: Arg_1 {O(n)}
24: eval_foo_bb0_in->eval_foo_bb3_in, Arg_4: Arg_4 {O(n)}
24: eval_foo_bb0_in->eval_foo_bb3_in, Arg_5: Arg_5 {O(n)}
25: eval_foo_bb1_in->eval_foo_bb2_in, Arg_0: Arg_5 {O(n)}
25: eval_foo_bb1_in->eval_foo_bb2_in, Arg_1: Arg_4*Arg_5+Arg_4+Arg_5+1 {O(n^2)}
25: eval_foo_bb1_in->eval_foo_bb2_in, Arg_4: Arg_4 {O(n)}
25: eval_foo_bb1_in->eval_foo_bb2_in, Arg_5: Arg_5 {O(n)}
26: eval_foo_bb1_in->eval_foo_bb3_in, Arg_0: Arg_5 {O(n)}
26: eval_foo_bb1_in->eval_foo_bb3_in, Arg_1: 0 {O(1)}
26: eval_foo_bb1_in->eval_foo_bb3_in, Arg_4: Arg_4 {O(n)}
26: eval_foo_bb1_in->eval_foo_bb3_in, Arg_5: Arg_5 {O(n)}
27: eval_foo_bb2_in->eval_foo_bb1_in, Arg_0: Arg_5 {O(n)}
27: eval_foo_bb2_in->eval_foo_bb1_in, Arg_1: Arg_4*Arg_5+Arg_4+Arg_5+1 {O(n^2)}
27: eval_foo_bb2_in->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
27: eval_foo_bb2_in->eval_foo_bb1_in, Arg_5: Arg_5 {O(n)}
28: eval_foo_bb2_in->eval_foo_bb1_in, Arg_0: Arg_5 {O(n)}
28: eval_foo_bb2_in->eval_foo_bb1_in, Arg_1: 0 {O(1)}
28: eval_foo_bb2_in->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
28: eval_foo_bb2_in->eval_foo_bb1_in, Arg_5: Arg_5 {O(n)}
29: eval_foo_bb3_in->eval_foo_stop, Arg_0: 2*Arg_0+Arg_5 {O(n)}
29: eval_foo_bb3_in->eval_foo_stop, Arg_1: 2*Arg_1 {O(n)}
29: eval_foo_bb3_in->eval_foo_stop, Arg_4: 3*Arg_4 {O(n)}
29: eval_foo_bb3_in->eval_foo_stop, Arg_5: 3*Arg_5 {O(n)}
30: eval_foo_start->eval_foo_bb0_in, Arg_0: Arg_0 {O(n)}
30: eval_foo_start->eval_foo_bb0_in, Arg_1: Arg_1 {O(n)}
30: eval_foo_start->eval_foo_bb0_in, Arg_4: Arg_4 {O(n)}
30: eval_foo_start->eval_foo_bb0_in, Arg_5: Arg_5 {O(n)}