WORST_CASE(?, O(n^1)) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalSimpleSingle2start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2entryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalSimpleSingle2entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb4in(0, 0, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalSimpleSingle2bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalSimpleSingle2bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ] (Comp: ?, Cost: 1) evalSimpleSingle2bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2returnin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalSimpleSingle2bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) evalSimpleSingle2bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_2 ] (Comp: ?, Cost: 1) evalSimpleSingle2bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb4in(Ar_0 + 1, Ar_1 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalSimpleSingle2bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evalSimpleSingle2bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_3 ] (Comp: ?, Cost: 1) evalSimpleSingle2bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb4in(Ar_0 + 1, Ar_1 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalSimpleSingle2returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 1 produces the following problem: 2: T: (Comp: 1, Cost: 1) evalSimpleSingle2start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2entryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalSimpleSingle2entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb4in(0, 0, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalSimpleSingle2bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalSimpleSingle2bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ] (Comp: ?, Cost: 1) evalSimpleSingle2bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2returnin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalSimpleSingle2bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) evalSimpleSingle2bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_2 ] (Comp: ?, Cost: 1) evalSimpleSingle2bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb4in(Ar_0 + 1, Ar_1 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalSimpleSingle2bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_0 + 1 ] (Comp: ?, Cost: 1) evalSimpleSingle2bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_3 ] (Comp: ?, Cost: 1) evalSimpleSingle2bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb4in(Ar_0 + 1, Ar_1 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalSimpleSingle2returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalSimpleSingle2start) = 2 Pol(evalSimpleSingle2entryin) = 2 Pol(evalSimpleSingle2bb4in) = 2 Pol(evalSimpleSingle2bbin) = 2 Pol(evalSimpleSingle2returnin) = 1 Pol(evalSimpleSingle2bb1in) = 2 Pol(evalSimpleSingle2bb2in) = 2 Pol(evalSimpleSingle2bb3in) = 2 Pol(evalSimpleSingle2stop) = 0 Pol(koat_start) = 2 orients all transitions weakly and the transitions evalSimpleSingle2returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2stop(Ar_0, Ar_1, Ar_2, Ar_3)) evalSimpleSingle2bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2returnin(Ar_0, Ar_1, Ar_2, Ar_3)) evalSimpleSingle2bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_3 ] strictly and produces the following problem: 3: T: (Comp: 1, Cost: 1) evalSimpleSingle2start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2entryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalSimpleSingle2entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb4in(0, 0, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalSimpleSingle2bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalSimpleSingle2bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ] (Comp: 2, Cost: 1) evalSimpleSingle2bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2returnin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalSimpleSingle2bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) evalSimpleSingle2bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_2 ] (Comp: ?, Cost: 1) evalSimpleSingle2bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb4in(Ar_0 + 1, Ar_1 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalSimpleSingle2bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_0 + 1 ] (Comp: 2, Cost: 1) evalSimpleSingle2bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_3 ] (Comp: ?, Cost: 1) evalSimpleSingle2bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb4in(Ar_0 + 1, Ar_1 + 1, Ar_2, Ar_3)) (Comp: 2, Cost: 1) evalSimpleSingle2returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalSimpleSingle2start) = 2*V_3 Pol(evalSimpleSingle2entryin) = 2*V_3 Pol(evalSimpleSingle2bb4in) = -2*V_2 + 2*V_3 Pol(evalSimpleSingle2bbin) = -2*V_2 + 2*V_3 Pol(evalSimpleSingle2returnin) = -2*V_2 + 2*V_3 Pol(evalSimpleSingle2bb1in) = -2*V_2 + 2*V_3 - 2 Pol(evalSimpleSingle2bb2in) = -2*V_2 + 2*V_3 Pol(evalSimpleSingle2bb3in) = -2*V_2 + 2*V_3 Pol(evalSimpleSingle2stop) = -2*V_2 + 2*V_3 Pol(koat_start) = 2*V_3 orients all transitions weakly and the transition evalSimpleSingle2bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 + 1 ] strictly and produces the following problem: 4: T: (Comp: 1, Cost: 1) evalSimpleSingle2start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2entryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalSimpleSingle2entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb4in(0, 0, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalSimpleSingle2bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalSimpleSingle2bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ] (Comp: 2, Cost: 1) evalSimpleSingle2bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2returnin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 2*Ar_2, Cost: 1) evalSimpleSingle2bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) evalSimpleSingle2bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_2 ] (Comp: ?, Cost: 1) evalSimpleSingle2bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb4in(Ar_0 + 1, Ar_1 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalSimpleSingle2bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_0 + 1 ] (Comp: 2, Cost: 1) evalSimpleSingle2bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_3 ] (Comp: ?, Cost: 1) evalSimpleSingle2bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb4in(Ar_0 + 1, Ar_1 + 1, Ar_2, Ar_3)) (Comp: 2, Cost: 1) evalSimpleSingle2returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 4 produces the following problem: 5: T: (Comp: 1, Cost: 1) evalSimpleSingle2start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2entryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalSimpleSingle2entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb4in(0, 0, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalSimpleSingle2bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalSimpleSingle2bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ] (Comp: 2, Cost: 1) evalSimpleSingle2bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2returnin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 2*Ar_2, Cost: 1) evalSimpleSingle2bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) evalSimpleSingle2bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_2 ] (Comp: 2*Ar_2, Cost: 1) evalSimpleSingle2bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb4in(Ar_0 + 1, Ar_1 + 1, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalSimpleSingle2bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_0 + 1 ] (Comp: 2, Cost: 1) evalSimpleSingle2bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_3 ] (Comp: ?, Cost: 1) evalSimpleSingle2bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb4in(Ar_0 + 1, Ar_1 + 1, Ar_2, Ar_3)) (Comp: 2, Cost: 1) evalSimpleSingle2returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalSimpleSingle2start) = 2*V_4 + 3 Pol(evalSimpleSingle2entryin) = 2*V_4 + 3 Pol(evalSimpleSingle2bb4in) = -2*V_1 + 2*V_4 + 3 Pol(evalSimpleSingle2bbin) = -2*V_1 + 2*V_4 + 3 Pol(evalSimpleSingle2returnin) = -2*V_1 + 2*V_4 + 1 Pol(evalSimpleSingle2bb1in) = -2*V_1 + 2*V_4 + 1 Pol(evalSimpleSingle2bb2in) = -2*V_1 + 2*V_4 + 2 Pol(evalSimpleSingle2bb3in) = -2*V_1 + 2*V_4 + 1 Pol(evalSimpleSingle2stop) = -2*V_1 + 2*V_4 + 1 Pol(koat_start) = 2*V_4 + 3 orients all transitions weakly and the transition evalSimpleSingle2bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_0 + 1 ] strictly and produces the following problem: 6: T: (Comp: 1, Cost: 1) evalSimpleSingle2start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2entryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalSimpleSingle2entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb4in(0, 0, Ar_2, Ar_3)) (Comp: ?, Cost: 1) evalSimpleSingle2bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] (Comp: ?, Cost: 1) evalSimpleSingle2bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ] (Comp: 2, Cost: 1) evalSimpleSingle2bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2returnin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 2*Ar_2, Cost: 1) evalSimpleSingle2bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 + 1 ] (Comp: ?, Cost: 1) evalSimpleSingle2bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_2 ] (Comp: 2*Ar_2, Cost: 1) evalSimpleSingle2bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb4in(Ar_0 + 1, Ar_1 + 1, Ar_2, Ar_3)) (Comp: 2*Ar_3 + 3, Cost: 1) evalSimpleSingle2bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_0 + 1 ] (Comp: 2, Cost: 1) evalSimpleSingle2bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_3 ] (Comp: ?, Cost: 1) evalSimpleSingle2bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb4in(Ar_0 + 1, Ar_1 + 1, Ar_2, Ar_3)) (Comp: 2, Cost: 1) evalSimpleSingle2returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 6 produces the following problem: 7: T: (Comp: 1, Cost: 1) evalSimpleSingle2start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2entryin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 1) evalSimpleSingle2entryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb4in(0, 0, Ar_2, Ar_3)) (Comp: 2*Ar_3 + 2*Ar_2 + 4, Cost: 1) evalSimpleSingle2bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= E + 1 ] (Comp: 2*Ar_3 + 2*Ar_2 + 4, Cost: 1) evalSimpleSingle2bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bbin(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= 1 ] (Comp: 2, Cost: 1) evalSimpleSingle2bb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2returnin(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 2*Ar_2, Cost: 1) evalSimpleSingle2bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 + 1 ] (Comp: 4*Ar_3 + 4*Ar_2 + 8, Cost: 1) evalSimpleSingle2bbin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_2 ] (Comp: 2*Ar_2, Cost: 1) evalSimpleSingle2bb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb4in(Ar_0 + 1, Ar_1 + 1, Ar_2, Ar_3)) (Comp: 2*Ar_3 + 3, Cost: 1) evalSimpleSingle2bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_0 + 1 ] (Comp: 2, Cost: 1) evalSimpleSingle2bb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2returnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_3 ] (Comp: 2*Ar_3 + 3, Cost: 1) evalSimpleSingle2bb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2bb4in(Ar_0 + 1, Ar_1 + 1, Ar_2, Ar_3)) (Comp: 2, Cost: 1) evalSimpleSingle2returnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2stop(Ar_0, Ar_1, Ar_2, Ar_3)) (Comp: 1, Cost: 0) koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalSimpleSingle2start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Complexity upper bound 12*Ar_3 + 12*Ar_2 + 30 Time: 1.140 sec (SMT: 1.096 sec)