Initial Problem
Start: start
Program_Vars: Arg_0, Arg_1
Temp_Vars: C
Locations: eval, start
Transitions:
0:eval(Arg_0,Arg_1) -> eval(Arg_0-1,C):|:1<=Arg_0 && 1<=Arg_1
1:eval(Arg_0,Arg_1) -> eval(Arg_0,Arg_1-1):|:1<=Arg_0 && 1<=Arg_1
2:start(Arg_0,Arg_1) -> eval(Arg_0,Arg_1)
Preprocessing
Problem after Preprocessing
Start: start
Program_Vars: Arg_0, Arg_1
Temp_Vars: C
Locations: eval, start
Transitions:
0:eval(Arg_0,Arg_1) -> eval(Arg_0-1,C):|:1<=Arg_0 && 1<=Arg_1
1:eval(Arg_0,Arg_1) -> eval(Arg_0,Arg_1-1):|:1<=Arg_0 && 1<=Arg_1
2:start(Arg_0,Arg_1) -> eval(Arg_0,Arg_1)
MPRF for transition 0:eval(Arg_0,Arg_1) -> eval(Arg_0-1,C):|:1<=Arg_0 && 1<=Arg_1 of depth 1:
new bound:
Arg_0 {O(n)}
MPRF:
eval [Arg_0 ]
Analysing control-flow refined program
Found invariant 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 for location n_eval___1
Found invariant 0<=Arg_0 for location n_eval___2
MPRF for transition 30:n_eval___1(Arg_0,Arg_1) -> n_eval___2(Arg_0-1,NoDet0):|:0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && 1<=Arg_0 && 0<=Arg_0 && 1<=Arg_0 && 0<=Arg_1 && 1<=Arg_1 && 1<=Arg_0 of depth 1:
new bound:
2*Arg_0+2 {O(n)}
MPRF:
n_eval___1 [Arg_0+1 ]
n_eval___2 [Arg_0+1 ]
MPRF for transition 31:n_eval___2(Arg_0,Arg_1) -> n_eval___1(Arg_0,Arg_1-1):|:0<=Arg_0 && 0<=Arg_0 && 1<=Arg_0 && 1<=Arg_1 of depth 1:
new bound:
2*Arg_0+1 {O(n)}
MPRF:
n_eval___1 [Arg_0 ]
n_eval___2 [Arg_0+1 ]
MPRF for transition 32:n_eval___2(Arg_0,Arg_1) -> n_eval___2(Arg_0-1,NoDet0):|:0<=Arg_0 && 0<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 of depth 1:
new bound:
2*Arg_0+1 {O(n)}
MPRF:
n_eval___1 [Arg_0 ]
n_eval___2 [Arg_0+1 ]
CFR did not improve the program. Rolling back
All Bounds
Timebounds
Overall timebound:inf {Infinity}
0: eval->eval: Arg_0 {O(n)}
1: eval->eval: inf {Infinity}
2: start->eval: 1 {O(1)}
Costbounds
Overall costbound: inf {Infinity}
0: eval->eval: Arg_0 {O(n)}
1: eval->eval: inf {Infinity}
2: start->eval: 1 {O(1)}
Sizebounds
0: eval->eval, Arg_0: 2*Arg_0 {O(n)}
1: eval->eval, Arg_0: 2*Arg_0 {O(n)}
2: start->eval, Arg_0: Arg_0 {O(n)}
2: start->eval, Arg_1: Arg_1 {O(n)}