YES(?,O(n^1)) * Step 1: FromIts WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. eval_start_start(v_i_0,v_m,v_n) -> eval_start_bb0_in(v_i_0,v_m,v_n) True (1,1) 1. eval_start_bb0_in(v_i_0,v_m,v_n) -> eval_start_0(v_i_0,v_m,v_n) True (?,1) 2. eval_start_0(v_i_0,v_m,v_n) -> eval_start_1(v_i_0,v_m,v_n) True (?,1) 3. eval_start_1(v_i_0,v_m,v_n) -> eval_start_2(v_i_0,v_m,v_n) True (?,1) 4. eval_start_2(v_i_0,v_m,v_n) -> eval_start_3(v_i_0,v_m,v_n) True (?,1) 5. eval_start_3(v_i_0,v_m,v_n) -> eval_start_bb1_in(v_n,v_m,v_n) [-1 + v_m >= 0] (?,1) 6. eval_start_3(v_i_0,v_m,v_n) -> eval_start_bb4_in(v_i_0,v_m,v_n) [0 >= v_m] (?,1) 7. eval_start_bb1_in(v_i_0,v_m,v_n) -> eval_start_bb2_in(v_i_0,v_m,v_n) [-1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + v_i_0 >= 0] (?,1) 8. eval_start_bb1_in(v_i_0,v_m,v_n) -> eval_start_bb3_in(v_i_0,v_m,v_n) [-1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && 0 >= v_i_0] (?,1) 9. eval_start_bb2_in(v_i_0,v_m,v_n) -> eval_start_bb1_in(-1 + v_i_0,v_m,v_n) [-1 + v_n >= 0 (?,1) && -2 + v_m + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0 && -1 + v_m >= v_i_0] 10. eval_start_bb2_in(v_i_0,v_m,v_n) -> eval_start_bb1_in(v_i_0 + -1*v_m,v_m,v_n) [-1 + v_n >= 0 (?,1) && -2 + v_m + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0 && v_i_0 >= v_m] 11. eval_start_bb3_in(v_i_0,v_m,v_n) -> eval_start_stop(v_i_0,v_m,v_n) [-1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + -1*v_i_0 + v_m >= 0 && -1*v_i_0 >= 0] (?,1) 12. eval_start_bb4_in(v_i_0,v_m,v_n) -> eval_start_8(v_i_0,v_m,v_n) [-1*v_m >= 0] (?,1) 13. eval_start_8(v_i_0,v_m,v_n) -> eval_start_9(v_i_0,v_m,v_n) [-1*v_m >= 0] (?,1) 14. eval_start_9(v_i_0,v_m,v_n) -> eval_start_stop(v_i_0,v_m,v_n) [-1*v_m >= 0] (?,1) Signature: {(eval_start_0,3) ;(eval_start_1,3) ;(eval_start_2,3) ;(eval_start_3,3) ;(eval_start_8,3) ;(eval_start_9,3) ;(eval_start_bb0_in,3) ;(eval_start_bb1_in,3) ;(eval_start_bb2_in,3) ;(eval_start_bb3_in,3) ;(eval_start_bb4_in,3) ;(eval_start_start,3) ;(eval_start_stop,3)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5,6},5->{7,8},6->{12},7->{9,10},8->{11},9->{7,8},10->{7,8},11->{} ,12->{13},13->{14},14->{}] + Applied Processor: FromIts + Details: () * Step 2: AddSinks WORST_CASE(?,O(n^1)) + Considered Problem: Rules: eval_start_start(v_i_0,v_m,v_n) -> eval_start_bb0_in(v_i_0,v_m,v_n) True eval_start_bb0_in(v_i_0,v_m,v_n) -> eval_start_0(v_i_0,v_m,v_n) True eval_start_0(v_i_0,v_m,v_n) -> eval_start_1(v_i_0,v_m,v_n) True eval_start_1(v_i_0,v_m,v_n) -> eval_start_2(v_i_0,v_m,v_n) True eval_start_2(v_i_0,v_m,v_n) -> eval_start_3(v_i_0,v_m,v_n) True eval_start_3(v_i_0,v_m,v_n) -> eval_start_bb1_in(v_n,v_m,v_n) [-1 + v_m >= 0] eval_start_3(v_i_0,v_m,v_n) -> eval_start_bb4_in(v_i_0,v_m,v_n) [0 >= v_m] eval_start_bb1_in(v_i_0,v_m,v_n) -> eval_start_bb2_in(v_i_0,v_m,v_n) [-1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + v_i_0 >= 0] eval_start_bb1_in(v_i_0,v_m,v_n) -> eval_start_bb3_in(v_i_0,v_m,v_n) [-1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && 0 >= v_i_0] eval_start_bb2_in(v_i_0,v_m,v_n) -> eval_start_bb1_in(-1 + v_i_0,v_m,v_n) [-1 + v_n >= 0 && -2 + v_m + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0 && -1 + v_m >= v_i_0] eval_start_bb2_in(v_i_0,v_m,v_n) -> eval_start_bb1_in(v_i_0 + -1*v_m,v_m,v_n) [-1 + v_n >= 0 && -2 + v_m + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0 && v_i_0 >= v_m] eval_start_bb3_in(v_i_0,v_m,v_n) -> eval_start_stop(v_i_0,v_m,v_n) [-1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + -1*v_i_0 + v_m >= 0 && -1*v_i_0 >= 0] eval_start_bb4_in(v_i_0,v_m,v_n) -> eval_start_8(v_i_0,v_m,v_n) [-1*v_m >= 0] eval_start_8(v_i_0,v_m,v_n) -> eval_start_9(v_i_0,v_m,v_n) [-1*v_m >= 0] eval_start_9(v_i_0,v_m,v_n) -> eval_start_stop(v_i_0,v_m,v_n) [-1*v_m >= 0] Signature: {(eval_start_0,3) ;(eval_start_1,3) ;(eval_start_2,3) ;(eval_start_3,3) ;(eval_start_8,3) ;(eval_start_9,3) ;(eval_start_bb0_in,3) ;(eval_start_bb1_in,3) ;(eval_start_bb2_in,3) ;(eval_start_bb3_in,3) ;(eval_start_bb4_in,3) ;(eval_start_start,3) ;(eval_start_stop,3)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5,6},5->{7,8},6->{12},7->{9,10},8->{11},9->{7,8},10->{7,8},11->{} ,12->{13},13->{14},14->{}] + Applied Processor: AddSinks + Details: () * Step 3: Unfold WORST_CASE(?,O(n^1)) + Considered Problem: Rules: eval_start_start(v_i_0,v_m,v_n) -> eval_start_bb0_in(v_i_0,v_m,v_n) True eval_start_bb0_in(v_i_0,v_m,v_n) -> eval_start_0(v_i_0,v_m,v_n) True eval_start_0(v_i_0,v_m,v_n) -> eval_start_1(v_i_0,v_m,v_n) True eval_start_1(v_i_0,v_m,v_n) -> eval_start_2(v_i_0,v_m,v_n) True eval_start_2(v_i_0,v_m,v_n) -> eval_start_3(v_i_0,v_m,v_n) True eval_start_3(v_i_0,v_m,v_n) -> eval_start_bb1_in(v_n,v_m,v_n) [-1 + v_m >= 0] eval_start_3(v_i_0,v_m,v_n) -> eval_start_bb4_in(v_i_0,v_m,v_n) [0 >= v_m] eval_start_bb1_in(v_i_0,v_m,v_n) -> eval_start_bb2_in(v_i_0,v_m,v_n) [-1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + v_i_0 >= 0] eval_start_bb1_in(v_i_0,v_m,v_n) -> eval_start_bb3_in(v_i_0,v_m,v_n) [-1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && 0 >= v_i_0] eval_start_bb2_in(v_i_0,v_m,v_n) -> eval_start_bb1_in(-1 + v_i_0,v_m,v_n) [-1 + v_n >= 0 && -2 + v_m + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0 && -1 + v_m >= v_i_0] eval_start_bb2_in(v_i_0,v_m,v_n) -> eval_start_bb1_in(v_i_0 + -1*v_m,v_m,v_n) [-1 + v_n >= 0 && -2 + v_m + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0 && v_i_0 >= v_m] eval_start_bb3_in(v_i_0,v_m,v_n) -> eval_start_stop(v_i_0,v_m,v_n) [-1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + -1*v_i_0 + v_m >= 0 && -1*v_i_0 >= 0] eval_start_bb4_in(v_i_0,v_m,v_n) -> eval_start_8(v_i_0,v_m,v_n) [-1*v_m >= 0] eval_start_8(v_i_0,v_m,v_n) -> eval_start_9(v_i_0,v_m,v_n) [-1*v_m >= 0] eval_start_9(v_i_0,v_m,v_n) -> eval_start_stop(v_i_0,v_m,v_n) [-1*v_m >= 0] eval_start_stop(v_i_0,v_m,v_n) -> exitus616(v_i_0,v_m,v_n) True eval_start_stop(v_i_0,v_m,v_n) -> exitus616(v_i_0,v_m,v_n) True Signature: {(eval_start_0,3) ;(eval_start_1,3) ;(eval_start_2,3) ;(eval_start_3,3) ;(eval_start_8,3) ;(eval_start_9,3) ;(eval_start_bb0_in,3) ;(eval_start_bb1_in,3) ;(eval_start_bb2_in,3) ;(eval_start_bb3_in,3) ;(eval_start_bb4_in,3) ;(eval_start_start,3) ;(eval_start_stop,3) ;(exitus616,3)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5,6},5->{7,8},6->{12},7->{9,10},8->{11},9->{7,8},10->{7,8},11->{16} ,12->{13},13->{14},14->{15}] + Applied Processor: Unfold + Details: () * Step 4: Decompose WORST_CASE(?,O(n^1)) + Considered Problem: Rules: eval_start_start.0(v_i_0,v_m,v_n) -> eval_start_bb0_in.1(v_i_0,v_m,v_n) True eval_start_bb0_in.1(v_i_0,v_m,v_n) -> eval_start_0.2(v_i_0,v_m,v_n) True eval_start_0.2(v_i_0,v_m,v_n) -> eval_start_1.3(v_i_0,v_m,v_n) True eval_start_1.3(v_i_0,v_m,v_n) -> eval_start_2.4(v_i_0,v_m,v_n) True eval_start_2.4(v_i_0,v_m,v_n) -> eval_start_3.5(v_i_0,v_m,v_n) True eval_start_2.4(v_i_0,v_m,v_n) -> eval_start_3.6(v_i_0,v_m,v_n) True eval_start_3.5(v_i_0,v_m,v_n) -> eval_start_bb1_in.7(v_n,v_m,v_n) [-1 + v_m >= 0] eval_start_3.5(v_i_0,v_m,v_n) -> eval_start_bb1_in.8(v_n,v_m,v_n) [-1 + v_m >= 0] eval_start_3.6(v_i_0,v_m,v_n) -> eval_start_bb4_in.12(v_i_0,v_m,v_n) [0 >= v_m] eval_start_bb1_in.7(v_i_0,v_m,v_n) -> eval_start_bb2_in.9(v_i_0,v_m,v_n) [-1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + v_i_0 >= 0] eval_start_bb1_in.7(v_i_0,v_m,v_n) -> eval_start_bb2_in.10(v_i_0,v_m,v_n) [-1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + v_i_0 >= 0] eval_start_bb1_in.8(v_i_0,v_m,v_n) -> eval_start_bb3_in.11(v_i_0,v_m,v_n) [-1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && 0 >= v_i_0] eval_start_bb2_in.9(v_i_0,v_m,v_n) -> eval_start_bb1_in.7(-1 + v_i_0,v_m,v_n) [-1 + v_n >= 0 && -2 + v_m + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0 && -1 + v_m >= v_i_0] eval_start_bb2_in.9(v_i_0,v_m,v_n) -> eval_start_bb1_in.8(-1 + v_i_0,v_m,v_n) [-1 + v_n >= 0 && -2 + v_m + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0 && -1 + v_m >= v_i_0] eval_start_bb2_in.10(v_i_0,v_m,v_n) -> eval_start_bb1_in.7(v_i_0 + -1*v_m,v_m,v_n) [-1 + v_n >= 0 && -2 + v_m + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0 && v_i_0 >= v_m] eval_start_bb2_in.10(v_i_0,v_m,v_n) -> eval_start_bb1_in.8(v_i_0 + -1*v_m,v_m,v_n) [-1 + v_n >= 0 && -2 + v_m + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0 && v_i_0 >= v_m] eval_start_bb3_in.11(v_i_0,v_m,v_n) -> eval_start_stop.16(v_i_0,v_m,v_n) [-1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + -1*v_i_0 + v_m >= 0 && -1*v_i_0 >= 0] eval_start_bb4_in.12(v_i_0,v_m,v_n) -> eval_start_8.13(v_i_0,v_m,v_n) [-1*v_m >= 0] eval_start_8.13(v_i_0,v_m,v_n) -> eval_start_9.14(v_i_0,v_m,v_n) [-1*v_m >= 0] eval_start_9.14(v_i_0,v_m,v_n) -> eval_start_stop.15(v_i_0,v_m,v_n) [-1*v_m >= 0] eval_start_stop.15(v_i_0,v_m,v_n) -> exitus616.17(v_i_0,v_m,v_n) True eval_start_stop.16(v_i_0,v_m,v_n) -> exitus616.17(v_i_0,v_m,v_n) True Signature: {(eval_start_0.2,3) ;(eval_start_1.3,3) ;(eval_start_2.4,3) ;(eval_start_3.5,3) ;(eval_start_3.6,3) ;(eval_start_8.13,3) ;(eval_start_9.14,3) ;(eval_start_bb0_in.1,3) ;(eval_start_bb1_in.7,3) ;(eval_start_bb1_in.8,3) ;(eval_start_bb2_in.10,3) ;(eval_start_bb2_in.9,3) ;(eval_start_bb3_in.11,3) ;(eval_start_bb4_in.12,3) ;(eval_start_start.0,3) ;(eval_start_stop.15,3) ;(eval_start_stop.16,3) ;(exitus616.17,3)} Rule Graph: [0->{1},1->{2},2->{3},3->{4,5},4->{6,7},5->{8},6->{9,10},7->{11},8->{17},9->{12,13},10->{14,15},11->{16} ,12->{9,10},13->{11},14->{9,10},15->{11},16->{21},17->{18},18->{19},19->{20},20->{},21->{}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21] | `- p:[9,12,14,10] c: [9,10,12,14] * Step 5: AbstractSize WORST_CASE(?,O(n^1)) + Considered Problem: (Rules: eval_start_start.0(v_i_0,v_m,v_n) -> eval_start_bb0_in.1(v_i_0,v_m,v_n) True eval_start_bb0_in.1(v_i_0,v_m,v_n) -> eval_start_0.2(v_i_0,v_m,v_n) True eval_start_0.2(v_i_0,v_m,v_n) -> eval_start_1.3(v_i_0,v_m,v_n) True eval_start_1.3(v_i_0,v_m,v_n) -> eval_start_2.4(v_i_0,v_m,v_n) True eval_start_2.4(v_i_0,v_m,v_n) -> eval_start_3.5(v_i_0,v_m,v_n) True eval_start_2.4(v_i_0,v_m,v_n) -> eval_start_3.6(v_i_0,v_m,v_n) True eval_start_3.5(v_i_0,v_m,v_n) -> eval_start_bb1_in.7(v_n,v_m,v_n) [-1 + v_m >= 0] eval_start_3.5(v_i_0,v_m,v_n) -> eval_start_bb1_in.8(v_n,v_m,v_n) [-1 + v_m >= 0] eval_start_3.6(v_i_0,v_m,v_n) -> eval_start_bb4_in.12(v_i_0,v_m,v_n) [0 >= v_m] eval_start_bb1_in.7(v_i_0,v_m,v_n) -> eval_start_bb2_in.9(v_i_0,v_m,v_n) [-1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + v_i_0 >= 0] eval_start_bb1_in.7(v_i_0,v_m,v_n) -> eval_start_bb2_in.10(v_i_0,v_m,v_n) [-1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + v_i_0 >= 0] eval_start_bb1_in.8(v_i_0,v_m,v_n) -> eval_start_bb3_in.11(v_i_0,v_m,v_n) [-1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && 0 >= v_i_0] eval_start_bb2_in.9(v_i_0,v_m,v_n) -> eval_start_bb1_in.7(-1 + v_i_0,v_m,v_n) [-1 + v_n >= 0 && -2 + v_m + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0 && -1 + v_m >= v_i_0] eval_start_bb2_in.9(v_i_0,v_m,v_n) -> eval_start_bb1_in.8(-1 + v_i_0,v_m,v_n) [-1 + v_n >= 0 && -2 + v_m + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0 && -1 + v_m >= v_i_0] eval_start_bb2_in.10(v_i_0,v_m,v_n) -> eval_start_bb1_in.7(v_i_0 + -1*v_m,v_m,v_n) [-1 + v_n >= 0 && -2 + v_m + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0 && v_i_0 >= v_m] eval_start_bb2_in.10(v_i_0,v_m,v_n) -> eval_start_bb1_in.8(v_i_0 + -1*v_m,v_m,v_n) [-1 + v_n >= 0 && -2 + v_m + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -2 + v_i_0 + v_m >= 0 && -1 + v_i_0 >= 0 && v_i_0 >= v_m] eval_start_bb3_in.11(v_i_0,v_m,v_n) -> eval_start_stop.16(v_i_0,v_m,v_n) [-1*v_i_0 + v_n >= 0 && -1 + v_m >= 0 && -1 + -1*v_i_0 + v_m >= 0 && -1*v_i_0 >= 0] eval_start_bb4_in.12(v_i_0,v_m,v_n) -> eval_start_8.13(v_i_0,v_m,v_n) [-1*v_m >= 0] eval_start_8.13(v_i_0,v_m,v_n) -> eval_start_9.14(v_i_0,v_m,v_n) [-1*v_m >= 0] eval_start_9.14(v_i_0,v_m,v_n) -> eval_start_stop.15(v_i_0,v_m,v_n) [-1*v_m >= 0] eval_start_stop.15(v_i_0,v_m,v_n) -> exitus616.17(v_i_0,v_m,v_n) True eval_start_stop.16(v_i_0,v_m,v_n) -> exitus616.17(v_i_0,v_m,v_n) True Signature: {(eval_start_0.2,3) ;(eval_start_1.3,3) ;(eval_start_2.4,3) ;(eval_start_3.5,3) ;(eval_start_3.6,3) ;(eval_start_8.13,3) ;(eval_start_9.14,3) ;(eval_start_bb0_in.1,3) ;(eval_start_bb1_in.7,3) ;(eval_start_bb1_in.8,3) ;(eval_start_bb2_in.10,3) ;(eval_start_bb2_in.9,3) ;(eval_start_bb3_in.11,3) ;(eval_start_bb4_in.12,3) ;(eval_start_start.0,3) ;(eval_start_stop.15,3) ;(eval_start_stop.16,3) ;(exitus616.17,3)} Rule Graph: [0->{1},1->{2},2->{3},3->{4,5},4->{6,7},5->{8},6->{9,10},7->{11},8->{17},9->{12,13},10->{14,15},11->{16} ,12->{9,10},13->{11},14->{9,10},15->{11},16->{21},17->{18},18->{19},19->{20},20->{},21->{}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21] | `- p:[9,12,14,10] c: [9,10,12,14]) + Applied Processor: AbstractSize Minimize + Details: () * Step 6: AbstractFlow WORST_CASE(?,O(n^1)) + Considered Problem: Program: Domain: [v_i_0,v_m,v_n,0.0] eval_start_start.0 ~> eval_start_bb0_in.1 [v_i_0 <= v_i_0, v_m <= v_m, v_n <= v_n] eval_start_bb0_in.1 ~> eval_start_0.2 [v_i_0 <= v_i_0, v_m <= v_m, v_n <= v_n] eval_start_0.2 ~> eval_start_1.3 [v_i_0 <= v_i_0, v_m <= v_m, v_n <= v_n] eval_start_1.3 ~> eval_start_2.4 [v_i_0 <= v_i_0, v_m <= v_m, v_n <= v_n] eval_start_2.4 ~> eval_start_3.5 [v_i_0 <= v_i_0, v_m <= v_m, v_n <= v_n] eval_start_2.4 ~> eval_start_3.6 [v_i_0 <= v_i_0, v_m <= v_m, v_n <= v_n] eval_start_3.5 ~> eval_start_bb1_in.7 [v_i_0 <= v_n, v_m <= v_m, v_n <= v_n] eval_start_3.5 ~> eval_start_bb1_in.8 [v_i_0 <= v_n, v_m <= v_m, v_n <= v_n] eval_start_3.6 ~> eval_start_bb4_in.12 [v_i_0 <= v_i_0, v_m <= v_m, v_n <= v_n] eval_start_bb1_in.7 ~> eval_start_bb2_in.9 [v_i_0 <= v_i_0, v_m <= v_m, v_n <= v_n] eval_start_bb1_in.7 ~> eval_start_bb2_in.10 [v_i_0 <= v_i_0, v_m <= v_m, v_n <= v_n] eval_start_bb1_in.8 ~> eval_start_bb3_in.11 [v_i_0 <= v_i_0, v_m <= v_m, v_n <= v_n] eval_start_bb2_in.9 ~> eval_start_bb1_in.7 [v_i_0 <= v_n, v_m <= v_m, v_n <= v_n] eval_start_bb2_in.9 ~> eval_start_bb1_in.8 [v_i_0 <= v_n, v_m <= v_m, v_n <= v_n] eval_start_bb2_in.10 ~> eval_start_bb1_in.7 [v_i_0 <= v_n, v_m <= v_m, v_n <= v_n] eval_start_bb2_in.10 ~> eval_start_bb1_in.8 [v_i_0 <= v_n, v_m <= v_m, v_n <= v_n] eval_start_bb3_in.11 ~> eval_start_stop.16 [v_i_0 <= v_i_0, v_m <= v_m, v_n <= v_n] eval_start_bb4_in.12 ~> eval_start_8.13 [v_i_0 <= v_i_0, v_m <= v_m, v_n <= v_n] eval_start_8.13 ~> eval_start_9.14 [v_i_0 <= v_i_0, v_m <= v_m, v_n <= v_n] eval_start_9.14 ~> eval_start_stop.15 [v_i_0 <= v_i_0, v_m <= v_m, v_n <= v_n] eval_start_stop.15 ~> exitus616.17 [v_i_0 <= v_i_0, v_m <= v_m, v_n <= v_n] eval_start_stop.16 ~> exitus616.17 [v_i_0 <= v_i_0, v_m <= v_m, v_n <= v_n] + Loop: [0.0 <= v_i_0] eval_start_bb1_in.7 ~> eval_start_bb2_in.9 [v_i_0 <= v_i_0, v_m <= v_m, v_n <= v_n] eval_start_bb2_in.9 ~> eval_start_bb1_in.7 [v_i_0 <= v_n, v_m <= v_m, v_n <= v_n] eval_start_bb2_in.10 ~> eval_start_bb1_in.7 [v_i_0 <= v_n, v_m <= v_m, v_n <= v_n] eval_start_bb1_in.7 ~> eval_start_bb2_in.10 [v_i_0 <= v_i_0, v_m <= v_m, v_n <= v_n] + Applied Processor: AbstractFlow + Details: () * Step 7: Lare WORST_CASE(?,O(n^1)) + Considered Problem: Program: Domain: [tick,huge,K,v_i_0,v_m,v_n,0.0] eval_start_start.0 ~> eval_start_bb0_in.1 [] eval_start_bb0_in.1 ~> eval_start_0.2 [] eval_start_0.2 ~> eval_start_1.3 [] eval_start_1.3 ~> eval_start_2.4 [] eval_start_2.4 ~> eval_start_3.5 [] eval_start_2.4 ~> eval_start_3.6 [] eval_start_3.5 ~> eval_start_bb1_in.7 [v_n ~=> v_i_0] eval_start_3.5 ~> eval_start_bb1_in.8 [v_n ~=> v_i_0] eval_start_3.6 ~> eval_start_bb4_in.12 [] eval_start_bb1_in.7 ~> eval_start_bb2_in.9 [] eval_start_bb1_in.7 ~> eval_start_bb2_in.10 [] eval_start_bb1_in.8 ~> eval_start_bb3_in.11 [] eval_start_bb2_in.9 ~> eval_start_bb1_in.7 [v_n ~=> v_i_0] eval_start_bb2_in.9 ~> eval_start_bb1_in.8 [v_n ~=> v_i_0] eval_start_bb2_in.10 ~> eval_start_bb1_in.7 [v_n ~=> v_i_0] eval_start_bb2_in.10 ~> eval_start_bb1_in.8 [v_n ~=> v_i_0] eval_start_bb3_in.11 ~> eval_start_stop.16 [] eval_start_bb4_in.12 ~> eval_start_8.13 [] eval_start_8.13 ~> eval_start_9.14 [] eval_start_9.14 ~> eval_start_stop.15 [] eval_start_stop.15 ~> exitus616.17 [] eval_start_stop.16 ~> exitus616.17 [] + Loop: [v_i_0 ~=> 0.0] eval_start_bb1_in.7 ~> eval_start_bb2_in.9 [] eval_start_bb2_in.9 ~> eval_start_bb1_in.7 [v_n ~=> v_i_0] eval_start_bb2_in.10 ~> eval_start_bb1_in.7 [v_n ~=> v_i_0] eval_start_bb1_in.7 ~> eval_start_bb2_in.10 [] + Applied Processor: Lare + Details: eval_start_start.0 ~> exitus616.17 [v_n ~=> v_i_0,v_n ~=> 0.0,v_n ~+> tick,tick ~+> tick] + eval_start_bb2_in.9> [v_i_0 ~=> 0.0 ,v_n ~=> v_i_0 ,v_i_0 ~+> tick ,tick ~+> tick] eval_start_bb2_in.10> [v_i_0 ~=> 0.0,v_n ~=> v_i_0,v_i_0 ~+> tick,tick ~+> tick] YES(?,O(n^1))