YES(?,POLY) * Step 1: TrivialSCCs WORST_CASE(?,POLY) + Considered Problem: Rules: 0. eval_abc_start(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb0_in(v_3,v_i_0,v_j_0,v_m,v_n) True (1,1) 1. eval_abc_bb0_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_0(v_3,v_i_0,v_j_0,v_m,v_n) True (?,1) 2. eval_abc_0(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_1(v_3,v_i_0,v_j_0,v_m,v_n) True (?,1) 3. eval_abc_1(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_2(v_3,v_i_0,v_j_0,v_m,v_n) True (?,1) 4. eval_abc_2(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_3(v_3,v_i_0,v_j_0,v_m,v_n) True (?,1) 5. eval_abc_3(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_4(v_3,v_i_0,v_j_0,v_m,v_n) True (?,1) 6. eval_abc_4(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_5(v_3,v_i_0,v_j_0,v_m,v_n) True (?,1) 7. eval_abc_5(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb1_in(v_3,v_n,v_j_0,v_m,v_n) True (?,1) 8. eval_abc_bb1_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb2_in(v_3,v_i_0,v_m,v_m,v_n) [-1*v_i_0 + v_n >= 0 && v_i_0 >= 1] (?,1) 9. eval_abc_bb1_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb5_in(v_3,v_i_0,v_j_0,v_m,v_n) [-1*v_i_0 + v_n >= 0 && 0 >= v_i_0] (?,1) 10. eval_abc_bb2_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb3_in(v_3,v_i_0,v_j_0,v_m,v_n) [-1 + v_n >= 0 (?,1) && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1*v_j_0 + v_m >= 0 && -1 + v_i_0 >= 0 && v_j_0 >= 1] 11. eval_abc_bb2_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb4_in(v_3,v_i_0,v_j_0,v_m,v_n) [-1 + v_n >= 0 (?,1) && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1*v_j_0 + v_m >= 0 && -1 + v_i_0 >= 0 && 0 >= v_j_0] 12. eval_abc_bb3_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb2_in(v_3,v_i_0,-1 + v_j_0,v_m,v_n) [-1 + v_n >= 0 (?,1) && -2 + v_m + v_n >= 0 && -2 + v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -2 + v_j_0 + v_m >= 0 && -1*v_j_0 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1 + v_j_0 >= 0 && -2 + v_i_0 + v_j_0 >= 0 && -1 + v_i_0 >= 0] 13. eval_abc_bb4_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_9(-1 + v_i_0,v_i_0,v_j_0,v_m,v_n) [-1 + v_n >= 0 (?,1) && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1*v_j_0 + v_m >= 0 && -1*v_j_0 >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_i_0 >= 0] 14. eval_abc_9(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_10(v_3,v_i_0,v_j_0,v_m,v_n) [-1 + v_n >= 0 (?,1) && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_3 + v_n >= 0 && -1 + -1*v_3 + v_n >= 0 && -1*v_j_0 + v_m >= 0 && -1*v_j_0 >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && v_3 + -1*v_j_0 >= 0 && 1 + v_3 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_3 + v_i_0 >= 0 && -1 + -1*v_3 + v_i_0 >= 0 && v_3 >= 0] 15. eval_abc_10(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb1_in(v_3,v_3,v_j_0,v_m,v_n) [-1 + v_n >= 0 (?,1) && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_3 + v_n >= 0 && -1 + -1*v_3 + v_n >= 0 && -1*v_j_0 + v_m >= 0 && -1*v_j_0 >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && v_3 + -1*v_j_0 >= 0 && 1 + v_3 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_3 + v_i_0 >= 0 && -1 + -1*v_3 + v_i_0 >= 0 && v_3 >= 0] 16. eval_abc_bb5_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_stop(v_3,v_i_0,v_j_0,v_m,v_n) [-1*v_i_0 + v_n >= 0 && -1*v_i_0 >= 0] (?,1) Signature: {(eval_abc_0,5) ;(eval_abc_1,5) ;(eval_abc_10,5) ;(eval_abc_2,5) ;(eval_abc_3,5) ;(eval_abc_4,5) ;(eval_abc_5,5) ;(eval_abc_9,5) ;(eval_abc_bb0_in,5) ;(eval_abc_bb1_in,5) ;(eval_abc_bb2_in,5) ;(eval_abc_bb3_in,5) ;(eval_abc_bb4_in,5) ;(eval_abc_bb5_in,5) ;(eval_abc_start,5) ;(eval_abc_stop,5)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8,9},8->{10,11},9->{16},10->{12},11->{13},12->{10 ,11},13->{14},14->{15},15->{8,9},16->{}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: AddSinks WORST_CASE(?,POLY) + Considered Problem: Rules: 0. eval_abc_start(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb0_in(v_3,v_i_0,v_j_0,v_m,v_n) True (1,1) 1. eval_abc_bb0_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_0(v_3,v_i_0,v_j_0,v_m,v_n) True (1,1) 2. eval_abc_0(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_1(v_3,v_i_0,v_j_0,v_m,v_n) True (1,1) 3. eval_abc_1(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_2(v_3,v_i_0,v_j_0,v_m,v_n) True (1,1) 4. eval_abc_2(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_3(v_3,v_i_0,v_j_0,v_m,v_n) True (1,1) 5. eval_abc_3(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_4(v_3,v_i_0,v_j_0,v_m,v_n) True (1,1) 6. eval_abc_4(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_5(v_3,v_i_0,v_j_0,v_m,v_n) True (1,1) 7. eval_abc_5(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb1_in(v_3,v_n,v_j_0,v_m,v_n) True (1,1) 8. eval_abc_bb1_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb2_in(v_3,v_i_0,v_m,v_m,v_n) [-1*v_i_0 + v_n >= 0 && v_i_0 >= 1] (?,1) 9. eval_abc_bb1_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb5_in(v_3,v_i_0,v_j_0,v_m,v_n) [-1*v_i_0 + v_n >= 0 && 0 >= v_i_0] (1,1) 10. eval_abc_bb2_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb3_in(v_3,v_i_0,v_j_0,v_m,v_n) [-1 + v_n >= 0 (?,1) && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1*v_j_0 + v_m >= 0 && -1 + v_i_0 >= 0 && v_j_0 >= 1] 11. eval_abc_bb2_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb4_in(v_3,v_i_0,v_j_0,v_m,v_n) [-1 + v_n >= 0 (?,1) && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1*v_j_0 + v_m >= 0 && -1 + v_i_0 >= 0 && 0 >= v_j_0] 12. eval_abc_bb3_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb2_in(v_3,v_i_0,-1 + v_j_0,v_m,v_n) [-1 + v_n >= 0 (?,1) && -2 + v_m + v_n >= 0 && -2 + v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -2 + v_j_0 + v_m >= 0 && -1*v_j_0 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1 + v_j_0 >= 0 && -2 + v_i_0 + v_j_0 >= 0 && -1 + v_i_0 >= 0] 13. eval_abc_bb4_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_9(-1 + v_i_0,v_i_0,v_j_0,v_m,v_n) [-1 + v_n >= 0 (?,1) && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1*v_j_0 + v_m >= 0 && -1*v_j_0 >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_i_0 >= 0] 14. eval_abc_9(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_10(v_3,v_i_0,v_j_0,v_m,v_n) [-1 + v_n >= 0 (?,1) && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_3 + v_n >= 0 && -1 + -1*v_3 + v_n >= 0 && -1*v_j_0 + v_m >= 0 && -1*v_j_0 >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && v_3 + -1*v_j_0 >= 0 && 1 + v_3 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_3 + v_i_0 >= 0 && -1 + -1*v_3 + v_i_0 >= 0 && v_3 >= 0] 15. eval_abc_10(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb1_in(v_3,v_3,v_j_0,v_m,v_n) [-1 + v_n >= 0 (?,1) && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_3 + v_n >= 0 && -1 + -1*v_3 + v_n >= 0 && -1*v_j_0 + v_m >= 0 && -1*v_j_0 >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && v_3 + -1*v_j_0 >= 0 && 1 + v_3 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_3 + v_i_0 >= 0 && -1 + -1*v_3 + v_i_0 >= 0 && v_3 >= 0] 16. eval_abc_bb5_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_stop(v_3,v_i_0,v_j_0,v_m,v_n) [-1*v_i_0 + v_n >= 0 && -1*v_i_0 >= 0] (1,1) Signature: {(eval_abc_0,5) ;(eval_abc_1,5) ;(eval_abc_10,5) ;(eval_abc_2,5) ;(eval_abc_3,5) ;(eval_abc_4,5) ;(eval_abc_5,5) ;(eval_abc_9,5) ;(eval_abc_bb0_in,5) ;(eval_abc_bb1_in,5) ;(eval_abc_bb2_in,5) ;(eval_abc_bb3_in,5) ;(eval_abc_bb4_in,5) ;(eval_abc_bb5_in,5) ;(eval_abc_start,5) ;(eval_abc_stop,5)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8,9},8->{10,11},9->{16},10->{12},11->{13},12->{10 ,11},13->{14},14->{15},15->{8,9},16->{}] + Applied Processor: AddSinks + Details: () * Step 3: LooptreeTransformer WORST_CASE(?,POLY) + Considered Problem: Rules: 0. eval_abc_start(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb0_in(v_3,v_i_0,v_j_0,v_m,v_n) True (1,1) 1. eval_abc_bb0_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_0(v_3,v_i_0,v_j_0,v_m,v_n) True (?,1) 2. eval_abc_0(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_1(v_3,v_i_0,v_j_0,v_m,v_n) True (?,1) 3. eval_abc_1(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_2(v_3,v_i_0,v_j_0,v_m,v_n) True (?,1) 4. eval_abc_2(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_3(v_3,v_i_0,v_j_0,v_m,v_n) True (?,1) 5. eval_abc_3(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_4(v_3,v_i_0,v_j_0,v_m,v_n) True (?,1) 6. eval_abc_4(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_5(v_3,v_i_0,v_j_0,v_m,v_n) True (?,1) 7. eval_abc_5(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb1_in(v_3,v_n,v_j_0,v_m,v_n) True (?,1) 8. eval_abc_bb1_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb2_in(v_3,v_i_0,v_m,v_m,v_n) [-1*v_i_0 + v_n >= 0 && v_i_0 >= 1] (?,1) 9. eval_abc_bb1_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb5_in(v_3,v_i_0,v_j_0,v_m,v_n) [-1*v_i_0 + v_n >= 0 && 0 >= v_i_0] (?,1) 10. eval_abc_bb2_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb3_in(v_3,v_i_0,v_j_0,v_m,v_n) [-1 + v_n >= 0 (?,1) && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1*v_j_0 + v_m >= 0 && -1 + v_i_0 >= 0 && v_j_0 >= 1] 11. eval_abc_bb2_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb4_in(v_3,v_i_0,v_j_0,v_m,v_n) [-1 + v_n >= 0 (?,1) && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1*v_j_0 + v_m >= 0 && -1 + v_i_0 >= 0 && 0 >= v_j_0] 12. eval_abc_bb3_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb2_in(v_3,v_i_0,-1 + v_j_0,v_m,v_n) [-1 + v_n >= 0 (?,1) && -2 + v_m + v_n >= 0 && -2 + v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -2 + v_j_0 + v_m >= 0 && -1*v_j_0 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1 + v_j_0 >= 0 && -2 + v_i_0 + v_j_0 >= 0 && -1 + v_i_0 >= 0] 13. eval_abc_bb4_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_9(-1 + v_i_0,v_i_0,v_j_0,v_m,v_n) [-1 + v_n >= 0 (?,1) && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1*v_j_0 + v_m >= 0 && -1*v_j_0 >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_i_0 >= 0] 14. eval_abc_9(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_10(v_3,v_i_0,v_j_0,v_m,v_n) [-1 + v_n >= 0 (?,1) && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_3 + v_n >= 0 && -1 + -1*v_3 + v_n >= 0 && -1*v_j_0 + v_m >= 0 && -1*v_j_0 >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && v_3 + -1*v_j_0 >= 0 && 1 + v_3 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_3 + v_i_0 >= 0 && -1 + -1*v_3 + v_i_0 >= 0 && v_3 >= 0] 15. eval_abc_10(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb1_in(v_3,v_3,v_j_0,v_m,v_n) [-1 + v_n >= 0 (?,1) && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_3 + v_n >= 0 && -1 + -1*v_3 + v_n >= 0 && -1*v_j_0 + v_m >= 0 && -1*v_j_0 >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && v_3 + -1*v_j_0 >= 0 && 1 + v_3 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_3 + v_i_0 >= 0 && -1 + -1*v_3 + v_i_0 >= 0 && v_3 >= 0] 16. eval_abc_bb5_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_stop(v_3,v_i_0,v_j_0,v_m,v_n) [-1*v_i_0 + v_n >= 0 && -1*v_i_0 >= 0] (?,1) 17. eval_abc_bb5_in(v_3,v_i_0,v_j_0,v_m,v_n) -> exitus616(v_3,v_i_0,v_j_0,v_m,v_n) True (?,1) Signature: {(eval_abc_0,5) ;(eval_abc_1,5) ;(eval_abc_10,5) ;(eval_abc_2,5) ;(eval_abc_3,5) ;(eval_abc_4,5) ;(eval_abc_5,5) ;(eval_abc_9,5) ;(eval_abc_bb0_in,5) ;(eval_abc_bb1_in,5) ;(eval_abc_bb2_in,5) ;(eval_abc_bb3_in,5) ;(eval_abc_bb4_in,5) ;(eval_abc_bb5_in,5) ;(eval_abc_start,5) ;(eval_abc_stop,5) ;(exitus616,5)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8,9},8->{10,11},9->{16,17},10->{12},11->{13},12->{10 ,11},13->{14},14->{15},15->{8,9},16->{},17->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17] | `- p:[8,15,14,13,11,12,10] c: [15] | `- p:[10,12] c: [12] * Step 4: SizeAbstraction WORST_CASE(?,POLY) + Considered Problem: (Rules: 0. eval_abc_start(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb0_in(v_3,v_i_0,v_j_0,v_m,v_n) True (1,1) 1. eval_abc_bb0_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_0(v_3,v_i_0,v_j_0,v_m,v_n) True (?,1) 2. eval_abc_0(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_1(v_3,v_i_0,v_j_0,v_m,v_n) True (?,1) 3. eval_abc_1(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_2(v_3,v_i_0,v_j_0,v_m,v_n) True (?,1) 4. eval_abc_2(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_3(v_3,v_i_0,v_j_0,v_m,v_n) True (?,1) 5. eval_abc_3(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_4(v_3,v_i_0,v_j_0,v_m,v_n) True (?,1) 6. eval_abc_4(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_5(v_3,v_i_0,v_j_0,v_m,v_n) True (?,1) 7. eval_abc_5(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb1_in(v_3,v_n,v_j_0,v_m,v_n) True (?,1) 8. eval_abc_bb1_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb2_in(v_3,v_i_0,v_m,v_m,v_n) [-1*v_i_0 + v_n >= 0 && v_i_0 >= 1] (?,1) 9. eval_abc_bb1_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb5_in(v_3,v_i_0,v_j_0,v_m,v_n) [-1*v_i_0 + v_n >= 0 && 0 >= v_i_0] (?,1) 10. eval_abc_bb2_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb3_in(v_3,v_i_0,v_j_0,v_m,v_n) [-1 + v_n >= 0 (?,1) && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1*v_j_0 + v_m >= 0 && -1 + v_i_0 >= 0 && v_j_0 >= 1] 11. eval_abc_bb2_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb4_in(v_3,v_i_0,v_j_0,v_m,v_n) [-1 + v_n >= 0 (?,1) && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1*v_j_0 + v_m >= 0 && -1 + v_i_0 >= 0 && 0 >= v_j_0] 12. eval_abc_bb3_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb2_in(v_3,v_i_0,-1 + v_j_0,v_m,v_n) [-1 + v_n >= 0 (?,1) && -2 + v_m + v_n >= 0 && -2 + v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -2 + v_j_0 + v_m >= 0 && -1*v_j_0 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1 + v_j_0 >= 0 && -2 + v_i_0 + v_j_0 >= 0 && -1 + v_i_0 >= 0] 13. eval_abc_bb4_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_9(-1 + v_i_0,v_i_0,v_j_0,v_m,v_n) [-1 + v_n >= 0 (?,1) && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1*v_j_0 + v_m >= 0 && -1*v_j_0 >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_i_0 >= 0] 14. eval_abc_9(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_10(v_3,v_i_0,v_j_0,v_m,v_n) [-1 + v_n >= 0 (?,1) && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_3 + v_n >= 0 && -1 + -1*v_3 + v_n >= 0 && -1*v_j_0 + v_m >= 0 && -1*v_j_0 >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && v_3 + -1*v_j_0 >= 0 && 1 + v_3 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_3 + v_i_0 >= 0 && -1 + -1*v_3 + v_i_0 >= 0 && v_3 >= 0] 15. eval_abc_10(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_bb1_in(v_3,v_3,v_j_0,v_m,v_n) [-1 + v_n >= 0 (?,1) && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_3 + v_n >= 0 && -1 + -1*v_3 + v_n >= 0 && -1*v_j_0 + v_m >= 0 && -1*v_j_0 >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && v_3 + -1*v_j_0 >= 0 && 1 + v_3 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_3 + v_i_0 >= 0 && -1 + -1*v_3 + v_i_0 >= 0 && v_3 >= 0] 16. eval_abc_bb5_in(v_3,v_i_0,v_j_0,v_m,v_n) -> eval_abc_stop(v_3,v_i_0,v_j_0,v_m,v_n) [-1*v_i_0 + v_n >= 0 && -1*v_i_0 >= 0] (?,1) 17. eval_abc_bb5_in(v_3,v_i_0,v_j_0,v_m,v_n) -> exitus616(v_3,v_i_0,v_j_0,v_m,v_n) True (?,1) Signature: {(eval_abc_0,5) ;(eval_abc_1,5) ;(eval_abc_10,5) ;(eval_abc_2,5) ;(eval_abc_3,5) ;(eval_abc_4,5) ;(eval_abc_5,5) ;(eval_abc_9,5) ;(eval_abc_bb0_in,5) ;(eval_abc_bb1_in,5) ;(eval_abc_bb2_in,5) ;(eval_abc_bb3_in,5) ;(eval_abc_bb4_in,5) ;(eval_abc_bb5_in,5) ;(eval_abc_start,5) ;(eval_abc_stop,5) ;(exitus616,5)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8,9},8->{10,11},9->{16,17},10->{12},11->{13},12->{10 ,11},13->{14},14->{15},15->{8,9},16->{},17->{}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17] | `- p:[8,15,14,13,11,12,10] c: [15] | `- p:[10,12] c: [12]) + Applied Processor: SizeAbstraction UseCFG Minimize + Details: () * Step 5: FlowAbstraction WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [v_3,v_i_0,v_j_0,v_m,v_n,0.0,0.0.0] eval_abc_start ~> eval_abc_bb0_in [v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_abc_bb0_in ~> eval_abc_0 [v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_abc_0 ~> eval_abc_1 [v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_abc_1 ~> eval_abc_2 [v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_abc_2 ~> eval_abc_3 [v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_abc_3 ~> eval_abc_4 [v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_abc_4 ~> eval_abc_5 [v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_abc_5 ~> eval_abc_bb1_in [v_3 <= v_3, v_i_0 <= v_n, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_abc_bb1_in ~> eval_abc_bb2_in [v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_m, v_m <= v_m, v_n <= v_n] eval_abc_bb1_in ~> eval_abc_bb5_in [v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_abc_bb2_in ~> eval_abc_bb3_in [v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_abc_bb2_in ~> eval_abc_bb4_in [v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_abc_bb3_in ~> eval_abc_bb2_in [v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_m, v_m <= v_m, v_n <= v_n] eval_abc_bb4_in ~> eval_abc_9 [v_3 <= v_n, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_abc_9 ~> eval_abc_10 [v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_abc_10 ~> eval_abc_bb1_in [v_3 <= v_3, v_i_0 <= v_3, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_abc_bb5_in ~> eval_abc_stop [v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_abc_bb5_in ~> exitus616 [v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] + Loop: [0.0 <= K + v_3 + v_i_0] eval_abc_bb1_in ~> eval_abc_bb2_in [v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_m, v_m <= v_m, v_n <= v_n] eval_abc_10 ~> eval_abc_bb1_in [v_3 <= v_3, v_i_0 <= v_3, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_abc_9 ~> eval_abc_10 [v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_abc_bb4_in ~> eval_abc_9 [v_3 <= v_n, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_abc_bb2_in ~> eval_abc_bb4_in [v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_abc_bb3_in ~> eval_abc_bb2_in [v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_m, v_m <= v_m, v_n <= v_n] eval_abc_bb2_in ~> eval_abc_bb3_in [v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] + Loop: [0.0.0 <= v_j_0] eval_abc_bb2_in ~> eval_abc_bb3_in [v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_m <= v_m, v_n <= v_n] eval_abc_bb3_in ~> eval_abc_bb2_in [v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_m, v_m <= v_m, v_n <= v_n] + Applied Processor: FlowAbstraction + Details: () * Step 6: LareProcessor WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [tick,huge,K,v_3,v_i_0,v_j_0,v_m,v_n,0.0,0.0.0] eval_abc_start ~> eval_abc_bb0_in [] eval_abc_bb0_in ~> eval_abc_0 [] eval_abc_0 ~> eval_abc_1 [] eval_abc_1 ~> eval_abc_2 [] eval_abc_2 ~> eval_abc_3 [] eval_abc_3 ~> eval_abc_4 [] eval_abc_4 ~> eval_abc_5 [] eval_abc_5 ~> eval_abc_bb1_in [v_n ~=> v_i_0] eval_abc_bb1_in ~> eval_abc_bb2_in [v_m ~=> v_j_0] eval_abc_bb1_in ~> eval_abc_bb5_in [] eval_abc_bb2_in ~> eval_abc_bb3_in [] eval_abc_bb2_in ~> eval_abc_bb4_in [] eval_abc_bb3_in ~> eval_abc_bb2_in [v_m ~=> v_j_0] eval_abc_bb4_in ~> eval_abc_9 [v_n ~=> v_3] eval_abc_9 ~> eval_abc_10 [] eval_abc_10 ~> eval_abc_bb1_in [v_3 ~=> v_i_0] eval_abc_bb5_in ~> eval_abc_stop [] eval_abc_bb5_in ~> exitus616 [] + Loop: [v_3 ~+> 0.0,v_i_0 ~+> 0.0,K ~+> 0.0] eval_abc_bb1_in ~> eval_abc_bb2_in [v_m ~=> v_j_0] eval_abc_10 ~> eval_abc_bb1_in [v_3 ~=> v_i_0] eval_abc_9 ~> eval_abc_10 [] eval_abc_bb4_in ~> eval_abc_9 [v_n ~=> v_3] eval_abc_bb2_in ~> eval_abc_bb4_in [] eval_abc_bb3_in ~> eval_abc_bb2_in [v_m ~=> v_j_0] eval_abc_bb2_in ~> eval_abc_bb3_in [] + Loop: [v_j_0 ~=> 0.0.0] eval_abc_bb2_in ~> eval_abc_bb3_in [] eval_abc_bb3_in ~> eval_abc_bb2_in [v_m ~=> v_j_0] + Applied Processor: LareProcessor + Details: eval_abc_start ~> exitus616 [v_m ~=> v_j_0 ,v_m ~=> 0.0.0 ,v_n ~=> v_3 ,v_n ~=> v_i_0 ,v_3 ~+> 0.0 ,v_3 ~+> tick ,v_m ~+> tick ,v_n ~+> 0.0 ,v_n ~+> tick ,tick ~+> tick ,K ~+> 0.0 ,K ~+> tick ,v_3 ~*> tick ,v_m ~*> tick ,v_n ~*> tick ,K ~*> tick] eval_abc_start ~> eval_abc_stop [v_m ~=> v_j_0 ,v_m ~=> 0.0.0 ,v_n ~=> v_3 ,v_n ~=> v_i_0 ,v_3 ~+> 0.0 ,v_3 ~+> tick ,v_m ~+> tick ,v_n ~+> 0.0 ,v_n ~+> tick ,tick ~+> tick ,K ~+> 0.0 ,K ~+> tick ,v_3 ~*> tick ,v_m ~*> tick ,v_n ~*> tick ,K ~*> tick] + eval_abc_bb1_in> [v_m ~=> v_j_0 ,v_m ~=> 0.0.0 ,v_n ~=> v_3 ,v_n ~=> v_i_0 ,v_3 ~+> 0.0 ,v_3 ~+> tick ,v_i_0 ~+> 0.0 ,v_i_0 ~+> tick ,v_m ~+> tick ,tick ~+> tick ,K ~+> 0.0 ,K ~+> tick ,v_3 ~*> tick ,v_i_0 ~*> tick ,v_m ~*> tick ,K ~*> tick] + eval_abc_bb2_in> [v_j_0 ~=> 0.0.0,v_m ~=> v_j_0,v_j_0 ~+> tick,tick ~+> tick] YES(?,POLY)