YES(?,POLY) * Step 1: UnsatPaths WORST_CASE(?,POLY) + Considered Problem: Rules: 0. eval_while2_start(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb0_in(v_3,v_N,v_i_0,v_j_0) True (1,1) 1. eval_while2_bb0_in(v_3,v_N,v_i_0,v_j_0) -> eval_while2_0(v_3,v_N,v_i_0,v_j_0) True (?,1) 2. eval_while2_0(v_3,v_N,v_i_0,v_j_0) -> eval_while2_1(v_3,v_N,v_i_0,v_j_0) True (?,1) 3. eval_while2_1(v_3,v_N,v_i_0,v_j_0) -> eval_while2_2(v_3,v_N,v_i_0,v_j_0) True (?,1) 4. eval_while2_2(v_3,v_N,v_i_0,v_j_0) -> eval_while2_3(v_3,v_N,v_i_0,v_j_0) True (?,1) 5. eval_while2_3(v_3,v_N,v_i_0,v_j_0) -> eval_while2_4(v_3,v_N,v_i_0,v_j_0) True (?,1) 6. eval_while2_4(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb1_in(v_3,v_N,v_N,v_j_0) True (?,1) 7. eval_while2_bb1_in(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb2_in(v_3,v_N,v_i_0,v_N) [v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0] (?,1) 8. eval_while2_bb1_in(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb5_in(v_3,v_N,v_i_0,v_j_0) [v_N + -1*v_i_0 >= 0 && 0 >= v_i_0] (?,1) 9. eval_while2_bb2_in(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb3_in(v_3,v_N,v_i_0,v_j_0) [v_N + -1*v_j_0 >= 0 (?,1) && v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_j_0 >= 0] 10. eval_while2_bb2_in(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb4_in(v_3,v_N,v_i_0,v_j_0) [v_N + -1*v_j_0 >= 0 (?,1) && v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0 && 0 >= v_j_0] 11. eval_while2_bb3_in(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb2_in(v_3,v_N,v_i_0,-1 + v_j_0) [v_N + -1*v_j_0 >= 0 (?,1) && -1 + v_j_0 >= 0 && -2 + v_i_0 + v_j_0 >= 0 && -2 + v_N + v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0] 12. eval_while2_bb4_in(v_3,v_N,v_i_0,v_j_0) -> eval_while2_8(-1 + v_i_0,v_N,v_i_0,v_j_0) [-1*v_j_0 >= 0 (?,1) && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0] 13. eval_while2_8(v_3,v_N,v_i_0,v_j_0) -> eval_while2_9(v_3,v_N,v_i_0,v_j_0) [-1*v_j_0 >= 0 (?,1) && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && v_3 + -1*v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && 1 + v_3 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_3 + v_i_0 >= 0 && -1 + -1*v_3 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_3 + v_N >= 0 && -1 + -1*v_3 + v_N >= 0 && v_3 >= 0] 14. eval_while2_9(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb1_in(v_3,v_N,v_3,v_j_0) [-1*v_j_0 >= 0 (?,1) && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && v_3 + -1*v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && 1 + v_3 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_3 + v_i_0 >= 0 && -1 + -1*v_3 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_3 + v_N >= 0 && -1 + -1*v_3 + v_N >= 0 && v_3 >= 0] 15. eval_while2_bb5_in(v_3,v_N,v_i_0,v_j_0) -> eval_while2_stop(v_3,v_N,v_i_0,v_j_0) [-1*v_i_0 >= 0 && v_N + -1*v_i_0 >= 0] (?,1) Signature: {(eval_while2_0,4) ;(eval_while2_1,4) ;(eval_while2_2,4) ;(eval_while2_3,4) ;(eval_while2_4,4) ;(eval_while2_8,4) ;(eval_while2_9,4) ;(eval_while2_bb0_in,4) ;(eval_while2_bb1_in,4) ;(eval_while2_bb2_in,4) ;(eval_while2_bb3_in,4) ;(eval_while2_bb4_in,4) ;(eval_while2_bb5_in,4) ;(eval_while2_start,4) ;(eval_while2_stop,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7,8},7->{9,10},8->{15},9->{11},10->{12},11->{9,10},12->{13} ,13->{14},14->{7,8},15->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(7,10)] * Step 2: FromIts WORST_CASE(?,POLY) + Considered Problem: Rules: 0. eval_while2_start(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb0_in(v_3,v_N,v_i_0,v_j_0) True (1,1) 1. eval_while2_bb0_in(v_3,v_N,v_i_0,v_j_0) -> eval_while2_0(v_3,v_N,v_i_0,v_j_0) True (?,1) 2. eval_while2_0(v_3,v_N,v_i_0,v_j_0) -> eval_while2_1(v_3,v_N,v_i_0,v_j_0) True (?,1) 3. eval_while2_1(v_3,v_N,v_i_0,v_j_0) -> eval_while2_2(v_3,v_N,v_i_0,v_j_0) True (?,1) 4. eval_while2_2(v_3,v_N,v_i_0,v_j_0) -> eval_while2_3(v_3,v_N,v_i_0,v_j_0) True (?,1) 5. eval_while2_3(v_3,v_N,v_i_0,v_j_0) -> eval_while2_4(v_3,v_N,v_i_0,v_j_0) True (?,1) 6. eval_while2_4(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb1_in(v_3,v_N,v_N,v_j_0) True (?,1) 7. eval_while2_bb1_in(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb2_in(v_3,v_N,v_i_0,v_N) [v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0] (?,1) 8. eval_while2_bb1_in(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb5_in(v_3,v_N,v_i_0,v_j_0) [v_N + -1*v_i_0 >= 0 && 0 >= v_i_0] (?,1) 9. eval_while2_bb2_in(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb3_in(v_3,v_N,v_i_0,v_j_0) [v_N + -1*v_j_0 >= 0 (?,1) && v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_j_0 >= 0] 10. eval_while2_bb2_in(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb4_in(v_3,v_N,v_i_0,v_j_0) [v_N + -1*v_j_0 >= 0 (?,1) && v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0 && 0 >= v_j_0] 11. eval_while2_bb3_in(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb2_in(v_3,v_N,v_i_0,-1 + v_j_0) [v_N + -1*v_j_0 >= 0 (?,1) && -1 + v_j_0 >= 0 && -2 + v_i_0 + v_j_0 >= 0 && -2 + v_N + v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0] 12. eval_while2_bb4_in(v_3,v_N,v_i_0,v_j_0) -> eval_while2_8(-1 + v_i_0,v_N,v_i_0,v_j_0) [-1*v_j_0 >= 0 (?,1) && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0] 13. eval_while2_8(v_3,v_N,v_i_0,v_j_0) -> eval_while2_9(v_3,v_N,v_i_0,v_j_0) [-1*v_j_0 >= 0 (?,1) && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && v_3 + -1*v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && 1 + v_3 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_3 + v_i_0 >= 0 && -1 + -1*v_3 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_3 + v_N >= 0 && -1 + -1*v_3 + v_N >= 0 && v_3 >= 0] 14. eval_while2_9(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb1_in(v_3,v_N,v_3,v_j_0) [-1*v_j_0 >= 0 (?,1) && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && v_3 + -1*v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && 1 + v_3 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_3 + v_i_0 >= 0 && -1 + -1*v_3 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_3 + v_N >= 0 && -1 + -1*v_3 + v_N >= 0 && v_3 >= 0] 15. eval_while2_bb5_in(v_3,v_N,v_i_0,v_j_0) -> eval_while2_stop(v_3,v_N,v_i_0,v_j_0) [-1*v_i_0 >= 0 && v_N + -1*v_i_0 >= 0] (?,1) Signature: {(eval_while2_0,4) ;(eval_while2_1,4) ;(eval_while2_2,4) ;(eval_while2_3,4) ;(eval_while2_4,4) ;(eval_while2_8,4) ;(eval_while2_9,4) ;(eval_while2_bb0_in,4) ;(eval_while2_bb1_in,4) ;(eval_while2_bb2_in,4) ;(eval_while2_bb3_in,4) ;(eval_while2_bb4_in,4) ;(eval_while2_bb5_in,4) ;(eval_while2_start,4) ;(eval_while2_stop,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7,8},7->{9},8->{15},9->{11},10->{12},11->{9,10},12->{13} ,13->{14},14->{7,8},15->{}] + Applied Processor: FromIts + Details: () * Step 3: Unfold WORST_CASE(?,POLY) + Considered Problem: Rules: eval_while2_start(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb0_in(v_3,v_N,v_i_0,v_j_0) True eval_while2_bb0_in(v_3,v_N,v_i_0,v_j_0) -> eval_while2_0(v_3,v_N,v_i_0,v_j_0) True eval_while2_0(v_3,v_N,v_i_0,v_j_0) -> eval_while2_1(v_3,v_N,v_i_0,v_j_0) True eval_while2_1(v_3,v_N,v_i_0,v_j_0) -> eval_while2_2(v_3,v_N,v_i_0,v_j_0) True eval_while2_2(v_3,v_N,v_i_0,v_j_0) -> eval_while2_3(v_3,v_N,v_i_0,v_j_0) True eval_while2_3(v_3,v_N,v_i_0,v_j_0) -> eval_while2_4(v_3,v_N,v_i_0,v_j_0) True eval_while2_4(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb1_in(v_3,v_N,v_N,v_j_0) True eval_while2_bb1_in(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb2_in(v_3,v_N,v_i_0,v_N) [v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0] eval_while2_bb1_in(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb5_in(v_3,v_N,v_i_0,v_j_0) [v_N + -1*v_i_0 >= 0 && 0 >= v_i_0] eval_while2_bb2_in(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb3_in(v_3,v_N,v_i_0,v_j_0) [v_N + -1*v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_j_0 >= 0] eval_while2_bb2_in(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb4_in(v_3,v_N,v_i_0,v_j_0) [v_N + -1*v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0 && 0 >= v_j_0] eval_while2_bb3_in(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb2_in(v_3,v_N,v_i_0,-1 + v_j_0) [v_N + -1*v_j_0 >= 0 && -1 + v_j_0 >= 0 && -2 + v_i_0 + v_j_0 >= 0 && -2 + v_N + v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0] eval_while2_bb4_in(v_3,v_N,v_i_0,v_j_0) -> eval_while2_8(-1 + v_i_0,v_N,v_i_0,v_j_0) [-1*v_j_0 >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0] eval_while2_8(v_3,v_N,v_i_0,v_j_0) -> eval_while2_9(v_3,v_N,v_i_0,v_j_0) [-1*v_j_0 >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && v_3 + -1*v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && 1 + v_3 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_3 + v_i_0 >= 0 && -1 + -1*v_3 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_3 + v_N >= 0 && -1 + -1*v_3 + v_N >= 0 && v_3 >= 0] eval_while2_9(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb1_in(v_3,v_N,v_3,v_j_0) [-1*v_j_0 >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && v_3 + -1*v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && 1 + v_3 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_3 + v_i_0 >= 0 && -1 + -1*v_3 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_3 + v_N >= 0 && -1 + -1*v_3 + v_N >= 0 && v_3 >= 0] eval_while2_bb5_in(v_3,v_N,v_i_0,v_j_0) -> eval_while2_stop(v_3,v_N,v_i_0,v_j_0) [-1*v_i_0 >= 0 && v_N + -1*v_i_0 >= 0] Signature: {(eval_while2_0,4) ;(eval_while2_1,4) ;(eval_while2_2,4) ;(eval_while2_3,4) ;(eval_while2_4,4) ;(eval_while2_8,4) ;(eval_while2_9,4) ;(eval_while2_bb0_in,4) ;(eval_while2_bb1_in,4) ;(eval_while2_bb2_in,4) ;(eval_while2_bb3_in,4) ;(eval_while2_bb4_in,4) ;(eval_while2_bb5_in,4) ;(eval_while2_start,4) ;(eval_while2_stop,4)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7,8},7->{9},8->{15},9->{11},10->{12},11->{9,10},12->{13} ,13->{14},14->{7,8},15->{}] + Applied Processor: Unfold + Details: () * Step 4: AddSinks WORST_CASE(?,POLY) + Considered Problem: Rules: eval_while2_start.0(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb0_in.1(v_3,v_N,v_i_0,v_j_0) True eval_while2_bb0_in.1(v_3,v_N,v_i_0,v_j_0) -> eval_while2_0.2(v_3,v_N,v_i_0,v_j_0) True eval_while2_0.2(v_3,v_N,v_i_0,v_j_0) -> eval_while2_1.3(v_3,v_N,v_i_0,v_j_0) True eval_while2_1.3(v_3,v_N,v_i_0,v_j_0) -> eval_while2_2.4(v_3,v_N,v_i_0,v_j_0) True eval_while2_2.4(v_3,v_N,v_i_0,v_j_0) -> eval_while2_3.5(v_3,v_N,v_i_0,v_j_0) True eval_while2_3.5(v_3,v_N,v_i_0,v_j_0) -> eval_while2_4.6(v_3,v_N,v_i_0,v_j_0) True eval_while2_4.6(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb1_in.7(v_3,v_N,v_N,v_j_0) True eval_while2_4.6(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb1_in.8(v_3,v_N,v_N,v_j_0) True eval_while2_bb1_in.7(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb2_in.9(v_3,v_N,v_i_0,v_N) [v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0] eval_while2_bb1_in.8(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb5_in.15(v_3,v_N,v_i_0,v_j_0) [v_N + -1*v_i_0 >= 0 && 0 >= v_i_0] eval_while2_bb2_in.9(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb3_in.11(v_3,v_N,v_i_0,v_j_0) [v_N + -1*v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_j_0 >= 0] eval_while2_bb2_in.10(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb4_in.12(v_3,v_N,v_i_0,v_j_0) [v_N + -1*v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0 && 0 >= v_j_0] eval_while2_bb3_in.11(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb2_in.9(v_3,v_N,v_i_0,-1 + v_j_0) [v_N + -1*v_j_0 >= 0 && -1 + v_j_0 >= 0 && -2 + v_i_0 + v_j_0 >= 0 && -2 + v_N + v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0] eval_while2_bb3_in.11(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb2_in.10(v_3,v_N,v_i_0,-1 + v_j_0) [v_N + -1*v_j_0 >= 0 && -1 + v_j_0 >= 0 && -2 + v_i_0 + v_j_0 >= 0 && -2 + v_N + v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0] eval_while2_bb4_in.12(v_3,v_N,v_i_0,v_j_0) -> eval_while2_8.13(-1 + v_i_0,v_N,v_i_0,v_j_0) [-1*v_j_0 >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0] eval_while2_8.13(v_3,v_N,v_i_0,v_j_0) -> eval_while2_9.14(v_3,v_N,v_i_0,v_j_0) [-1*v_j_0 >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && v_3 + -1*v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && 1 + v_3 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_3 + v_i_0 >= 0 && -1 + -1*v_3 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_3 + v_N >= 0 && -1 + -1*v_3 + v_N >= 0 && v_3 >= 0] eval_while2_9.14(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb1_in.7(v_3,v_N,v_3,v_j_0) [-1*v_j_0 >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && v_3 + -1*v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && 1 + v_3 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_3 + v_i_0 >= 0 && -1 + -1*v_3 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_3 + v_N >= 0 && -1 + -1*v_3 + v_N >= 0 && v_3 >= 0] eval_while2_9.14(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb1_in.8(v_3,v_N,v_3,v_j_0) [-1*v_j_0 >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && v_3 + -1*v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && 1 + v_3 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_3 + v_i_0 >= 0 && -1 + -1*v_3 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_3 + v_N >= 0 && -1 + -1*v_3 + v_N >= 0 && v_3 >= 0] eval_while2_bb5_in.15(v_3,v_N,v_i_0,v_j_0) -> eval_while2_stop.16(v_3,v_N,v_i_0,v_j_0) [-1*v_i_0 >= 0 && v_N + -1*v_i_0 >= 0] Signature: {(eval_while2_0.2,4) ;(eval_while2_1.3,4) ;(eval_while2_2.4,4) ;(eval_while2_3.5,4) ;(eval_while2_4.6,4) ;(eval_while2_8.13,4) ;(eval_while2_9.14,4) ;(eval_while2_bb0_in.1,4) ;(eval_while2_bb1_in.7,4) ;(eval_while2_bb1_in.8,4) ;(eval_while2_bb2_in.10,4) ;(eval_while2_bb2_in.9,4) ;(eval_while2_bb3_in.11,4) ;(eval_while2_bb4_in.12,4) ;(eval_while2_bb5_in.15,4) ;(eval_while2_start.0,4) ;(eval_while2_stop.16,4)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6,7},6->{8},7->{9},8->{10},9->{18},10->{12,13},11->{14},12->{10} ,13->{11},14->{15},15->{16,17},16->{8},17->{9},18->{}] + Applied Processor: AddSinks + Details: () * Step 5: Decompose WORST_CASE(?,POLY) + Considered Problem: Rules: eval_while2_start.0(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb0_in.1(v_3,v_N,v_i_0,v_j_0) True eval_while2_bb0_in.1(v_3,v_N,v_i_0,v_j_0) -> eval_while2_0.2(v_3,v_N,v_i_0,v_j_0) True eval_while2_0.2(v_3,v_N,v_i_0,v_j_0) -> eval_while2_1.3(v_3,v_N,v_i_0,v_j_0) True eval_while2_1.3(v_3,v_N,v_i_0,v_j_0) -> eval_while2_2.4(v_3,v_N,v_i_0,v_j_0) True eval_while2_2.4(v_3,v_N,v_i_0,v_j_0) -> eval_while2_3.5(v_3,v_N,v_i_0,v_j_0) True eval_while2_3.5(v_3,v_N,v_i_0,v_j_0) -> eval_while2_4.6(v_3,v_N,v_i_0,v_j_0) True eval_while2_4.6(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb1_in.7(v_3,v_N,v_N,v_j_0) True eval_while2_4.6(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb1_in.8(v_3,v_N,v_N,v_j_0) True eval_while2_bb1_in.7(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb2_in.9(v_3,v_N,v_i_0,v_N) [v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0] eval_while2_bb1_in.8(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb5_in.15(v_3,v_N,v_i_0,v_j_0) [v_N + -1*v_i_0 >= 0 && 0 >= v_i_0] eval_while2_bb2_in.9(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb3_in.11(v_3,v_N,v_i_0,v_j_0) [v_N + -1*v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_j_0 >= 0] eval_while2_bb2_in.10(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb4_in.12(v_3,v_N,v_i_0,v_j_0) [v_N + -1*v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0 && 0 >= v_j_0] eval_while2_bb3_in.11(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb2_in.9(v_3,v_N,v_i_0,-1 + v_j_0) [v_N + -1*v_j_0 >= 0 && -1 + v_j_0 >= 0 && -2 + v_i_0 + v_j_0 >= 0 && -2 + v_N + v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0] eval_while2_bb3_in.11(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb2_in.10(v_3,v_N,v_i_0,-1 + v_j_0) [v_N + -1*v_j_0 >= 0 && -1 + v_j_0 >= 0 && -2 + v_i_0 + v_j_0 >= 0 && -2 + v_N + v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0] eval_while2_bb4_in.12(v_3,v_N,v_i_0,v_j_0) -> eval_while2_8.13(-1 + v_i_0,v_N,v_i_0,v_j_0) [-1*v_j_0 >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0] eval_while2_8.13(v_3,v_N,v_i_0,v_j_0) -> eval_while2_9.14(v_3,v_N,v_i_0,v_j_0) [-1*v_j_0 >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && v_3 + -1*v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && 1 + v_3 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_3 + v_i_0 >= 0 && -1 + -1*v_3 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_3 + v_N >= 0 && -1 + -1*v_3 + v_N >= 0 && v_3 >= 0] eval_while2_9.14(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb1_in.7(v_3,v_N,v_3,v_j_0) [-1*v_j_0 >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && v_3 + -1*v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && 1 + v_3 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_3 + v_i_0 >= 0 && -1 + -1*v_3 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_3 + v_N >= 0 && -1 + -1*v_3 + v_N >= 0 && v_3 >= 0] eval_while2_9.14(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb1_in.8(v_3,v_N,v_3,v_j_0) [-1*v_j_0 >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && v_3 + -1*v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && 1 + v_3 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_3 + v_i_0 >= 0 && -1 + -1*v_3 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_3 + v_N >= 0 && -1 + -1*v_3 + v_N >= 0 && v_3 >= 0] eval_while2_bb5_in.15(v_3,v_N,v_i_0,v_j_0) -> eval_while2_stop.16(v_3,v_N,v_i_0,v_j_0) [-1*v_i_0 >= 0 && v_N + -1*v_i_0 >= 0] eval_while2_stop.16(v_3,v_N,v_i_0,v_j_0) -> exitus616(v_3,v_N,v_i_0,v_j_0) True eval_while2_stop.16(v_3,v_N,v_i_0,v_j_0) -> exitus616(v_3,v_N,v_i_0,v_j_0) True Signature: {(eval_while2_0.2,4) ;(eval_while2_1.3,4) ;(eval_while2_2.4,4) ;(eval_while2_3.5,4) ;(eval_while2_4.6,4) ;(eval_while2_8.13,4) ;(eval_while2_9.14,4) ;(eval_while2_bb0_in.1,4) ;(eval_while2_bb1_in.7,4) ;(eval_while2_bb1_in.8,4) ;(eval_while2_bb2_in.10,4) ;(eval_while2_bb2_in.9,4) ;(eval_while2_bb3_in.11,4) ;(eval_while2_bb4_in.12,4) ;(eval_while2_bb5_in.15,4) ;(eval_while2_start.0,4) ;(eval_while2_stop.16,4) ;(exitus616,4)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6,7},6->{8},7->{9},8->{10},9->{18},10->{12,13},11->{14},12->{10} ,13->{11},14->{15},15->{16,17},16->{8},17->{9},18->{19,20}] + 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] | `- p:[8,16,15,14,11,13,10,12] c: [8,11,13,14,15,16] | `- p:[10,12] c: [10,12] * Step 6: AbstractSize WORST_CASE(?,POLY) + Considered Problem: (Rules: eval_while2_start.0(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb0_in.1(v_3,v_N,v_i_0,v_j_0) True eval_while2_bb0_in.1(v_3,v_N,v_i_0,v_j_0) -> eval_while2_0.2(v_3,v_N,v_i_0,v_j_0) True eval_while2_0.2(v_3,v_N,v_i_0,v_j_0) -> eval_while2_1.3(v_3,v_N,v_i_0,v_j_0) True eval_while2_1.3(v_3,v_N,v_i_0,v_j_0) -> eval_while2_2.4(v_3,v_N,v_i_0,v_j_0) True eval_while2_2.4(v_3,v_N,v_i_0,v_j_0) -> eval_while2_3.5(v_3,v_N,v_i_0,v_j_0) True eval_while2_3.5(v_3,v_N,v_i_0,v_j_0) -> eval_while2_4.6(v_3,v_N,v_i_0,v_j_0) True eval_while2_4.6(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb1_in.7(v_3,v_N,v_N,v_j_0) True eval_while2_4.6(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb1_in.8(v_3,v_N,v_N,v_j_0) True eval_while2_bb1_in.7(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb2_in.9(v_3,v_N,v_i_0,v_N) [v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0] eval_while2_bb1_in.8(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb5_in.15(v_3,v_N,v_i_0,v_j_0) [v_N + -1*v_i_0 >= 0 && 0 >= v_i_0] eval_while2_bb2_in.9(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb3_in.11(v_3,v_N,v_i_0,v_j_0) [v_N + -1*v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_j_0 >= 0] eval_while2_bb2_in.10(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb4_in.12(v_3,v_N,v_i_0,v_j_0) [v_N + -1*v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0 && 0 >= v_j_0] eval_while2_bb3_in.11(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb2_in.9(v_3,v_N,v_i_0,-1 + v_j_0) [v_N + -1*v_j_0 >= 0 && -1 + v_j_0 >= 0 && -2 + v_i_0 + v_j_0 >= 0 && -2 + v_N + v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0] eval_while2_bb3_in.11(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb2_in.10(v_3,v_N,v_i_0,-1 + v_j_0) [v_N + -1*v_j_0 >= 0 && -1 + v_j_0 >= 0 && -2 + v_i_0 + v_j_0 >= 0 && -2 + v_N + v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0] eval_while2_bb4_in.12(v_3,v_N,v_i_0,v_j_0) -> eval_while2_8.13(-1 + v_i_0,v_N,v_i_0,v_j_0) [-1*v_j_0 >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_N >= 0] eval_while2_8.13(v_3,v_N,v_i_0,v_j_0) -> eval_while2_9.14(v_3,v_N,v_i_0,v_j_0) [-1*v_j_0 >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && v_3 + -1*v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && 1 + v_3 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_3 + v_i_0 >= 0 && -1 + -1*v_3 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_3 + v_N >= 0 && -1 + -1*v_3 + v_N >= 0 && v_3 >= 0] eval_while2_9.14(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb1_in.7(v_3,v_N,v_3,v_j_0) [-1*v_j_0 >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && v_3 + -1*v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && 1 + v_3 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_3 + v_i_0 >= 0 && -1 + -1*v_3 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_3 + v_N >= 0 && -1 + -1*v_3 + v_N >= 0 && v_3 >= 0] eval_while2_9.14(v_3,v_N,v_i_0,v_j_0) -> eval_while2_bb1_in.8(v_3,v_N,v_3,v_j_0) [-1*v_j_0 >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && v_3 + -1*v_j_0 >= 0 && v_N + -1*v_i_0 >= 0 && 1 + v_3 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_N + v_i_0 >= 0 && -1 + v_3 + v_i_0 >= 0 && -1 + -1*v_3 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_3 + v_N >= 0 && -1 + -1*v_3 + v_N >= 0 && v_3 >= 0] eval_while2_bb5_in.15(v_3,v_N,v_i_0,v_j_0) -> eval_while2_stop.16(v_3,v_N,v_i_0,v_j_0) [-1*v_i_0 >= 0 && v_N + -1*v_i_0 >= 0] eval_while2_stop.16(v_3,v_N,v_i_0,v_j_0) -> exitus616(v_3,v_N,v_i_0,v_j_0) True eval_while2_stop.16(v_3,v_N,v_i_0,v_j_0) -> exitus616(v_3,v_N,v_i_0,v_j_0) True Signature: {(eval_while2_0.2,4) ;(eval_while2_1.3,4) ;(eval_while2_2.4,4) ;(eval_while2_3.5,4) ;(eval_while2_4.6,4) ;(eval_while2_8.13,4) ;(eval_while2_9.14,4) ;(eval_while2_bb0_in.1,4) ;(eval_while2_bb1_in.7,4) ;(eval_while2_bb1_in.8,4) ;(eval_while2_bb2_in.10,4) ;(eval_while2_bb2_in.9,4) ;(eval_while2_bb3_in.11,4) ;(eval_while2_bb4_in.12,4) ;(eval_while2_bb5_in.15,4) ;(eval_while2_start.0,4) ;(eval_while2_stop.16,4) ;(exitus616,4)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6,7},6->{8},7->{9},8->{10},9->{18},10->{12,13},11->{14},12->{10} ,13->{11},14->{15},15->{16,17},16->{8},17->{9},18->{19,20}] ,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] | `- p:[8,16,15,14,11,13,10,12] c: [8,11,13,14,15,16] | `- p:[10,12] c: [10,12]) + Applied Processor: AbstractSize Minimize + Details: () * Step 7: AbstractFlow WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [v_3,v_N,v_i_0,v_j_0,0.0,0.0.0] eval_while2_start.0 ~> eval_while2_bb0_in.1 [v_3 <= v_3, v_N <= v_N, v_i_0 <= v_i_0, v_j_0 <= v_j_0] eval_while2_bb0_in.1 ~> eval_while2_0.2 [v_3 <= v_3, v_N <= v_N, v_i_0 <= v_i_0, v_j_0 <= v_j_0] eval_while2_0.2 ~> eval_while2_1.3 [v_3 <= v_3, v_N <= v_N, v_i_0 <= v_i_0, v_j_0 <= v_j_0] eval_while2_1.3 ~> eval_while2_2.4 [v_3 <= v_3, v_N <= v_N, v_i_0 <= v_i_0, v_j_0 <= v_j_0] eval_while2_2.4 ~> eval_while2_3.5 [v_3 <= v_3, v_N <= v_N, v_i_0 <= v_i_0, v_j_0 <= v_j_0] eval_while2_3.5 ~> eval_while2_4.6 [v_3 <= v_3, v_N <= v_N, v_i_0 <= v_i_0, v_j_0 <= v_j_0] eval_while2_4.6 ~> eval_while2_bb1_in.7 [v_3 <= v_3, v_N <= v_N, v_i_0 <= v_N, v_j_0 <= v_j_0] eval_while2_4.6 ~> eval_while2_bb1_in.8 [v_3 <= v_3, v_N <= v_N, v_i_0 <= v_N, v_j_0 <= v_j_0] eval_while2_bb1_in.7 ~> eval_while2_bb2_in.9 [v_3 <= v_3, v_N <= v_N, v_i_0 <= v_i_0, v_j_0 <= v_N] eval_while2_bb1_in.8 ~> eval_while2_bb5_in.15 [v_3 <= v_3, v_N <= v_N, v_i_0 <= v_i_0, v_j_0 <= v_j_0] eval_while2_bb2_in.9 ~> eval_while2_bb3_in.11 [v_3 <= v_3, v_N <= v_N, v_i_0 <= v_i_0, v_j_0 <= v_j_0] eval_while2_bb2_in.10 ~> eval_while2_bb4_in.12 [v_3 <= v_3, v_N <= v_N, v_i_0 <= v_i_0, v_j_0 <= v_j_0] eval_while2_bb3_in.11 ~> eval_while2_bb2_in.9 [v_3 <= v_3, v_N <= v_N, v_i_0 <= v_i_0, v_j_0 <= v_N] eval_while2_bb3_in.11 ~> eval_while2_bb2_in.10 [v_3 <= v_3, v_N <= v_N, v_i_0 <= v_i_0, v_j_0 <= v_N] eval_while2_bb4_in.12 ~> eval_while2_8.13 [v_3 <= v_i_0, v_N <= v_N, v_i_0 <= v_i_0, v_j_0 <= v_j_0] eval_while2_8.13 ~> eval_while2_9.14 [v_3 <= v_3, v_N <= v_N, v_i_0 <= v_i_0, v_j_0 <= v_j_0] eval_while2_9.14 ~> eval_while2_bb1_in.7 [v_3 <= v_3, v_N <= v_N, v_i_0 <= v_3, v_j_0 <= v_j_0] eval_while2_9.14 ~> eval_while2_bb1_in.8 [v_3 <= v_3, v_N <= v_N, v_i_0 <= v_3, v_j_0 <= v_j_0] eval_while2_bb5_in.15 ~> eval_while2_stop.16 [v_3 <= v_3, v_N <= v_N, v_i_0 <= v_i_0, v_j_0 <= v_j_0] eval_while2_stop.16 ~> exitus616 [v_3 <= v_3, v_N <= v_N, v_i_0 <= v_i_0, v_j_0 <= v_j_0] eval_while2_stop.16 ~> exitus616 [v_3 <= v_3, v_N <= v_N, v_i_0 <= v_i_0, v_j_0 <= v_j_0] + Loop: [0.0 <= K + v_i_0] eval_while2_bb1_in.7 ~> eval_while2_bb2_in.9 [v_3 <= v_3, v_N <= v_N, v_i_0 <= v_i_0, v_j_0 <= v_N] eval_while2_9.14 ~> eval_while2_bb1_in.7 [v_3 <= v_3, v_N <= v_N, v_i_0 <= v_3, v_j_0 <= v_j_0] eval_while2_8.13 ~> eval_while2_9.14 [v_3 <= v_3, v_N <= v_N, v_i_0 <= v_i_0, v_j_0 <= v_j_0] eval_while2_bb4_in.12 ~> eval_while2_8.13 [v_3 <= v_i_0, v_N <= v_N, v_i_0 <= v_i_0, v_j_0 <= v_j_0] eval_while2_bb2_in.10 ~> eval_while2_bb4_in.12 [v_3 <= v_3, v_N <= v_N, v_i_0 <= v_i_0, v_j_0 <= v_j_0] eval_while2_bb3_in.11 ~> eval_while2_bb2_in.10 [v_3 <= v_3, v_N <= v_N, v_i_0 <= v_i_0, v_j_0 <= v_N] eval_while2_bb2_in.9 ~> eval_while2_bb3_in.11 [v_3 <= v_3, v_N <= v_N, v_i_0 <= v_i_0, v_j_0 <= v_j_0] eval_while2_bb3_in.11 ~> eval_while2_bb2_in.9 [v_3 <= v_3, v_N <= v_N, v_i_0 <= v_i_0, v_j_0 <= v_N] + Loop: [0.0.0 <= K + v_j_0] eval_while2_bb2_in.9 ~> eval_while2_bb3_in.11 [v_3 <= v_3, v_N <= v_N, v_i_0 <= v_i_0, v_j_0 <= v_j_0] eval_while2_bb3_in.11 ~> eval_while2_bb2_in.9 [v_3 <= v_3, v_N <= v_N, v_i_0 <= v_i_0, v_j_0 <= v_N] + Applied Processor: AbstractFlow + Details: () * Step 8: Lare WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [tick,huge,K,v_3,v_N,v_i_0,v_j_0,0.0,0.0.0] eval_while2_start.0 ~> eval_while2_bb0_in.1 [] eval_while2_bb0_in.1 ~> eval_while2_0.2 [] eval_while2_0.2 ~> eval_while2_1.3 [] eval_while2_1.3 ~> eval_while2_2.4 [] eval_while2_2.4 ~> eval_while2_3.5 [] eval_while2_3.5 ~> eval_while2_4.6 [] eval_while2_4.6 ~> eval_while2_bb1_in.7 [v_N ~=> v_i_0] eval_while2_4.6 ~> eval_while2_bb1_in.8 [v_N ~=> v_i_0] eval_while2_bb1_in.7 ~> eval_while2_bb2_in.9 [v_N ~=> v_j_0] eval_while2_bb1_in.8 ~> eval_while2_bb5_in.15 [] eval_while2_bb2_in.9 ~> eval_while2_bb3_in.11 [] eval_while2_bb2_in.10 ~> eval_while2_bb4_in.12 [] eval_while2_bb3_in.11 ~> eval_while2_bb2_in.9 [v_N ~=> v_j_0] eval_while2_bb3_in.11 ~> eval_while2_bb2_in.10 [v_N ~=> v_j_0] eval_while2_bb4_in.12 ~> eval_while2_8.13 [v_i_0 ~=> v_3] eval_while2_8.13 ~> eval_while2_9.14 [] eval_while2_9.14 ~> eval_while2_bb1_in.7 [v_3 ~=> v_i_0] eval_while2_9.14 ~> eval_while2_bb1_in.8 [v_3 ~=> v_i_0] eval_while2_bb5_in.15 ~> eval_while2_stop.16 [] eval_while2_stop.16 ~> exitus616 [] eval_while2_stop.16 ~> exitus616 [] + Loop: [v_i_0 ~+> 0.0,K ~+> 0.0] eval_while2_bb1_in.7 ~> eval_while2_bb2_in.9 [v_N ~=> v_j_0] eval_while2_9.14 ~> eval_while2_bb1_in.7 [v_3 ~=> v_i_0] eval_while2_8.13 ~> eval_while2_9.14 [] eval_while2_bb4_in.12 ~> eval_while2_8.13 [v_i_0 ~=> v_3] eval_while2_bb2_in.10 ~> eval_while2_bb4_in.12 [] eval_while2_bb3_in.11 ~> eval_while2_bb2_in.10 [v_N ~=> v_j_0] eval_while2_bb2_in.9 ~> eval_while2_bb3_in.11 [] eval_while2_bb3_in.11 ~> eval_while2_bb2_in.9 [v_N ~=> v_j_0] + Loop: [v_j_0 ~+> 0.0.0,K ~+> 0.0.0] eval_while2_bb2_in.9 ~> eval_while2_bb3_in.11 [] eval_while2_bb3_in.11 ~> eval_while2_bb2_in.9 [v_N ~=> v_j_0] + Applied Processor: Lare + Details: eval_while2_start.0 ~> exitus616 [v_3 ~=> v_i_0 ,v_N ~=> v_3 ,v_N ~=> v_i_0 ,v_N ~=> v_j_0 ,v_N ~+> 0.0 ,v_N ~+> 0.0.0 ,v_N ~+> tick ,tick ~+> tick ,K ~+> 0.0 ,K ~+> 0.0.0 ,K ~+> tick ,v_N ~*> tick ,K ~*> tick] + eval_while2_9.14> [v_N ~=> v_j_0 ,v_i_0 ~=> v_3 ,v_N ~+> 0.0.0 ,v_N ~+> tick ,v_i_0 ~+> 0.0 ,v_i_0 ~+> tick ,tick ~+> tick ,K ~+> 0.0 ,K ~+> 0.0.0 ,K ~+> tick ,v_N ~*> tick ,v_i_0 ~*> tick ,K ~*> tick] + eval_while2_bb3_in.11> [v_N ~=> v_j_0 ,v_j_0 ~+> 0.0.0 ,v_j_0 ~+> tick ,tick ~+> tick ,K ~+> 0.0.0 ,K ~+> tick] YES(?,POLY)