YES(?,POLY) * Step 1: FromIts WORST_CASE(?,POLY) + Considered Problem: Rules: 0. eval_sipmabubble_start(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb0_in(v_24,v_i_0,v_j_0,v_n) True (1,1) 1. eval_sipmabubble_bb0_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_0(v_24,v_i_0,v_j_0,v_n) True (?,1) 2. eval_sipmabubble_0(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_1(v_24,v_i_0,v_j_0,v_n) True (?,1) 3. eval_sipmabubble_1(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_2(v_24,v_i_0,v_j_0,v_n) True (?,1) 4. eval_sipmabubble_2(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_3(v_24,v_i_0,v_j_0,v_n) True (?,1) 5. eval_sipmabubble_3(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_4(v_24,v_i_0,v_j_0,v_n) True (?,1) 6. eval_sipmabubble_4(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_5(v_24,v_i_0,v_j_0,v_n) True (?,1) 7. eval_sipmabubble_5(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_6(v_24,v_i_0,v_j_0,v_n) True (?,1) 8. eval_sipmabubble_6(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb1_in(v_24,v_n,v_j_0,v_n) True (?,1) 9. eval_sipmabubble_bb1_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb2_in(v_24,v_i_0,0,v_n) [-1*v_i_0 + v_n >= 0 && v_i_0 >= 0] (?,1) 10. eval_sipmabubble_bb1_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb7_in(v_24,v_i_0,v_j_0,v_n) [-1*v_i_0 + v_n >= 0 && -1 >= v_i_0] (?,1) 11. eval_sipmabubble_bb2_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb3_in(v_24,v_i_0,v_j_0,v_n) [v_n >= 0 (?,1) && v_j_0 + v_n >= 0 && -1*v_j_0 + v_n >= 0 && v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && -1 + v_i_0 >= v_j_0] 12. eval_sipmabubble_bb2_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb6_in(v_24,v_i_0,v_j_0,v_n) [v_n >= 0 (?,1) && v_j_0 + v_n >= 0 && -1*v_j_0 + v_n >= 0 && v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && -1 + v_j_0 >= -1 + v_i_0] 13. eval_sipmabubble_bb3_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb4_in(v_24,v_i_0,v_j_0,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_i_0 >= 0 && -1 + nondef_0 >= nondef_1] 14. eval_sipmabubble_bb3_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb5_in(v_24,v_i_0,v_j_0,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_i_0 >= 0 && nondef_1 >= nondef_0] 15. eval_sipmabubble_bb4_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb5_in(v_24,v_i_0,v_j_0,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_i_0 >= 0] 16. eval_sipmabubble_bb5_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb2_in(v_24,v_i_0,1 + v_j_0,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_i_0 >= 0] 17. eval_sipmabubble_bb6_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_29(-1 + v_i_0,v_i_0,v_j_0,v_n) [v_n >= 0 (?,1) && v_j_0 + v_n >= 0 && -1*v_j_0 + v_n >= 0 && v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && v_i_0 >= 0] 18. eval_sipmabubble_29(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_30(v_24,v_i_0,v_j_0,v_n) [v_n >= 0 (?,1) && v_j_0 + v_n >= 0 && -1*v_j_0 + v_n >= 0 && v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && 1 + v_24 + v_n >= 0 && -1 + -1*v_24 + v_n >= 0 && v_i_0 + -1*v_j_0 >= 0 && 1 + v_24 + -1*v_j_0 >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && 1 + v_24 + v_j_0 >= 0 && -1 + -1*v_24 + v_j_0 >= 0 && 1 + v_24 + -1*v_i_0 >= 0 && v_i_0 >= 0 && 1 + v_24 + v_i_0 >= 0 && -1 + -1*v_24 + v_i_0 >= 0 && 1 + v_24 >= 0] 19. eval_sipmabubble_30(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb1_in(v_24,v_24,v_j_0,v_n) [v_n >= 0 (?,1) && v_j_0 + v_n >= 0 && -1*v_j_0 + v_n >= 0 && v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && 1 + v_24 + v_n >= 0 && -1 + -1*v_24 + v_n >= 0 && v_i_0 + -1*v_j_0 >= 0 && 1 + v_24 + -1*v_j_0 >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && 1 + v_24 + v_j_0 >= 0 && -1 + -1*v_24 + v_j_0 >= 0 && 1 + v_24 + -1*v_i_0 >= 0 && v_i_0 >= 0 && 1 + v_24 + v_i_0 >= 0 && -1 + -1*v_24 + v_i_0 >= 0 && 1 + v_24 >= 0] 20. eval_sipmabubble_bb7_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_stop(v_24,v_i_0,v_j_0,v_n) [-1*v_i_0 + v_n >= 0 && -1 + -1*v_i_0 >= 0] (?,1) Signature: {(eval_sipmabubble_0,4) ;(eval_sipmabubble_1,4) ;(eval_sipmabubble_2,4) ;(eval_sipmabubble_29,4) ;(eval_sipmabubble_3,4) ;(eval_sipmabubble_30,4) ;(eval_sipmabubble_4,4) ;(eval_sipmabubble_5,4) ;(eval_sipmabubble_6,4) ;(eval_sipmabubble_bb0_in,4) ;(eval_sipmabubble_bb1_in,4) ;(eval_sipmabubble_bb2_in,4) ;(eval_sipmabubble_bb3_in,4) ;(eval_sipmabubble_bb4_in,4) ;(eval_sipmabubble_bb5_in,4) ;(eval_sipmabubble_bb6_in,4) ;(eval_sipmabubble_bb7_in,4) ;(eval_sipmabubble_start,4) ;(eval_sipmabubble_stop,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9,10},9->{11,12},10->{20},11->{13,14} ,12->{17},13->{15},14->{16},15->{16},16->{11,12},17->{18},18->{19},19->{9,10},20->{}] + Applied Processor: FromIts + Details: () * Step 2: AddSinks WORST_CASE(?,POLY) + Considered Problem: Rules: eval_sipmabubble_start(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb0_in(v_24,v_i_0,v_j_0,v_n) True eval_sipmabubble_bb0_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_0(v_24,v_i_0,v_j_0,v_n) True eval_sipmabubble_0(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_1(v_24,v_i_0,v_j_0,v_n) True eval_sipmabubble_1(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_2(v_24,v_i_0,v_j_0,v_n) True eval_sipmabubble_2(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_3(v_24,v_i_0,v_j_0,v_n) True eval_sipmabubble_3(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_4(v_24,v_i_0,v_j_0,v_n) True eval_sipmabubble_4(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_5(v_24,v_i_0,v_j_0,v_n) True eval_sipmabubble_5(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_6(v_24,v_i_0,v_j_0,v_n) True eval_sipmabubble_6(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb1_in(v_24,v_n,v_j_0,v_n) True eval_sipmabubble_bb1_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb2_in(v_24,v_i_0,0,v_n) [-1*v_i_0 + v_n >= 0 && v_i_0 >= 0] eval_sipmabubble_bb1_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb7_in(v_24,v_i_0,v_j_0,v_n) [-1*v_i_0 + v_n >= 0 && -1 >= v_i_0] eval_sipmabubble_bb2_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb3_in(v_24,v_i_0,v_j_0,v_n) [v_n >= 0 && v_j_0 + v_n >= 0 && -1*v_j_0 + v_n >= 0 && v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && -1 + v_i_0 >= v_j_0] eval_sipmabubble_bb2_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb6_in(v_24,v_i_0,v_j_0,v_n) [v_n >= 0 && v_j_0 + v_n >= 0 && -1*v_j_0 + v_n >= 0 && v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && -1 + v_j_0 >= -1 + v_i_0] eval_sipmabubble_bb3_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb4_in(v_24,v_i_0,v_j_0,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_i_0 >= 0 && -1 + nondef_0 >= nondef_1] eval_sipmabubble_bb3_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb5_in(v_24,v_i_0,v_j_0,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_i_0 >= 0 && nondef_1 >= nondef_0] eval_sipmabubble_bb4_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb5_in(v_24,v_i_0,v_j_0,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_i_0 >= 0] eval_sipmabubble_bb5_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb2_in(v_24,v_i_0,1 + v_j_0,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_i_0 >= 0] eval_sipmabubble_bb6_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_29(-1 + v_i_0,v_i_0,v_j_0,v_n) [v_n >= 0 && v_j_0 + v_n >= 0 && -1*v_j_0 + v_n >= 0 && v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && v_i_0 >= 0] eval_sipmabubble_29(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_30(v_24,v_i_0,v_j_0,v_n) [v_n >= 0 && v_j_0 + v_n >= 0 && -1*v_j_0 + v_n >= 0 && v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && 1 + v_24 + v_n >= 0 && -1 + -1*v_24 + v_n >= 0 && v_i_0 + -1*v_j_0 >= 0 && 1 + v_24 + -1*v_j_0 >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && 1 + v_24 + v_j_0 >= 0 && -1 + -1*v_24 + v_j_0 >= 0 && 1 + v_24 + -1*v_i_0 >= 0 && v_i_0 >= 0 && 1 + v_24 + v_i_0 >= 0 && -1 + -1*v_24 + v_i_0 >= 0 && 1 + v_24 >= 0] eval_sipmabubble_30(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb1_in(v_24,v_24,v_j_0,v_n) [v_n >= 0 && v_j_0 + v_n >= 0 && -1*v_j_0 + v_n >= 0 && v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && 1 + v_24 + v_n >= 0 && -1 + -1*v_24 + v_n >= 0 && v_i_0 + -1*v_j_0 >= 0 && 1 + v_24 + -1*v_j_0 >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && 1 + v_24 + v_j_0 >= 0 && -1 + -1*v_24 + v_j_0 >= 0 && 1 + v_24 + -1*v_i_0 >= 0 && v_i_0 >= 0 && 1 + v_24 + v_i_0 >= 0 && -1 + -1*v_24 + v_i_0 >= 0 && 1 + v_24 >= 0] eval_sipmabubble_bb7_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_stop(v_24,v_i_0,v_j_0,v_n) [-1*v_i_0 + v_n >= 0 && -1 + -1*v_i_0 >= 0] Signature: {(eval_sipmabubble_0,4) ;(eval_sipmabubble_1,4) ;(eval_sipmabubble_2,4) ;(eval_sipmabubble_29,4) ;(eval_sipmabubble_3,4) ;(eval_sipmabubble_30,4) ;(eval_sipmabubble_4,4) ;(eval_sipmabubble_5,4) ;(eval_sipmabubble_6,4) ;(eval_sipmabubble_bb0_in,4) ;(eval_sipmabubble_bb1_in,4) ;(eval_sipmabubble_bb2_in,4) ;(eval_sipmabubble_bb3_in,4) ;(eval_sipmabubble_bb4_in,4) ;(eval_sipmabubble_bb5_in,4) ;(eval_sipmabubble_bb6_in,4) ;(eval_sipmabubble_bb7_in,4) ;(eval_sipmabubble_start,4) ;(eval_sipmabubble_stop,4)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9,10},9->{11,12},10->{20},11->{13,14} ,12->{17},13->{15},14->{16},15->{16},16->{11,12},17->{18},18->{19},19->{9,10},20->{}] + Applied Processor: AddSinks + Details: () * Step 3: Unfold WORST_CASE(?,POLY) + Considered Problem: Rules: eval_sipmabubble_start(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb0_in(v_24,v_i_0,v_j_0,v_n) True eval_sipmabubble_bb0_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_0(v_24,v_i_0,v_j_0,v_n) True eval_sipmabubble_0(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_1(v_24,v_i_0,v_j_0,v_n) True eval_sipmabubble_1(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_2(v_24,v_i_0,v_j_0,v_n) True eval_sipmabubble_2(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_3(v_24,v_i_0,v_j_0,v_n) True eval_sipmabubble_3(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_4(v_24,v_i_0,v_j_0,v_n) True eval_sipmabubble_4(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_5(v_24,v_i_0,v_j_0,v_n) True eval_sipmabubble_5(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_6(v_24,v_i_0,v_j_0,v_n) True eval_sipmabubble_6(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb1_in(v_24,v_n,v_j_0,v_n) True eval_sipmabubble_bb1_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb2_in(v_24,v_i_0,0,v_n) [-1*v_i_0 + v_n >= 0 && v_i_0 >= 0] eval_sipmabubble_bb1_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb7_in(v_24,v_i_0,v_j_0,v_n) [-1*v_i_0 + v_n >= 0 && -1 >= v_i_0] eval_sipmabubble_bb2_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb3_in(v_24,v_i_0,v_j_0,v_n) [v_n >= 0 && v_j_0 + v_n >= 0 && -1*v_j_0 + v_n >= 0 && v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && -1 + v_i_0 >= v_j_0] eval_sipmabubble_bb2_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb6_in(v_24,v_i_0,v_j_0,v_n) [v_n >= 0 && v_j_0 + v_n >= 0 && -1*v_j_0 + v_n >= 0 && v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && -1 + v_j_0 >= -1 + v_i_0] eval_sipmabubble_bb3_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb4_in(v_24,v_i_0,v_j_0,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_i_0 >= 0 && -1 + nondef_0 >= nondef_1] eval_sipmabubble_bb3_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb5_in(v_24,v_i_0,v_j_0,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_i_0 >= 0 && nondef_1 >= nondef_0] eval_sipmabubble_bb4_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb5_in(v_24,v_i_0,v_j_0,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_i_0 >= 0] eval_sipmabubble_bb5_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb2_in(v_24,v_i_0,1 + v_j_0,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_i_0 >= 0] eval_sipmabubble_bb6_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_29(-1 + v_i_0,v_i_0,v_j_0,v_n) [v_n >= 0 && v_j_0 + v_n >= 0 && -1*v_j_0 + v_n >= 0 && v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && v_i_0 >= 0] eval_sipmabubble_29(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_30(v_24,v_i_0,v_j_0,v_n) [v_n >= 0 && v_j_0 + v_n >= 0 && -1*v_j_0 + v_n >= 0 && v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && 1 + v_24 + v_n >= 0 && -1 + -1*v_24 + v_n >= 0 && v_i_0 + -1*v_j_0 >= 0 && 1 + v_24 + -1*v_j_0 >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && 1 + v_24 + v_j_0 >= 0 && -1 + -1*v_24 + v_j_0 >= 0 && 1 + v_24 + -1*v_i_0 >= 0 && v_i_0 >= 0 && 1 + v_24 + v_i_0 >= 0 && -1 + -1*v_24 + v_i_0 >= 0 && 1 + v_24 >= 0] eval_sipmabubble_30(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb1_in(v_24,v_24,v_j_0,v_n) [v_n >= 0 && v_j_0 + v_n >= 0 && -1*v_j_0 + v_n >= 0 && v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && 1 + v_24 + v_n >= 0 && -1 + -1*v_24 + v_n >= 0 && v_i_0 + -1*v_j_0 >= 0 && 1 + v_24 + -1*v_j_0 >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && 1 + v_24 + v_j_0 >= 0 && -1 + -1*v_24 + v_j_0 >= 0 && 1 + v_24 + -1*v_i_0 >= 0 && v_i_0 >= 0 && 1 + v_24 + v_i_0 >= 0 && -1 + -1*v_24 + v_i_0 >= 0 && 1 + v_24 >= 0] eval_sipmabubble_bb7_in(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_stop(v_24,v_i_0,v_j_0,v_n) [-1*v_i_0 + v_n >= 0 && -1 + -1*v_i_0 >= 0] eval_sipmabubble_stop(v_24,v_i_0,v_j_0,v_n) -> exitus616(v_24,v_i_0,v_j_0,v_n) True Signature: {(eval_sipmabubble_0,4) ;(eval_sipmabubble_1,4) ;(eval_sipmabubble_2,4) ;(eval_sipmabubble_29,4) ;(eval_sipmabubble_3,4) ;(eval_sipmabubble_30,4) ;(eval_sipmabubble_4,4) ;(eval_sipmabubble_5,4) ;(eval_sipmabubble_6,4) ;(eval_sipmabubble_bb0_in,4) ;(eval_sipmabubble_bb1_in,4) ;(eval_sipmabubble_bb2_in,4) ;(eval_sipmabubble_bb3_in,4) ;(eval_sipmabubble_bb4_in,4) ;(eval_sipmabubble_bb5_in,4) ;(eval_sipmabubble_bb6_in,4) ;(eval_sipmabubble_bb7_in,4) ;(eval_sipmabubble_start,4) ;(eval_sipmabubble_stop,4) ;(exitus616,4)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9,10},9->{11,12},10->{20},11->{13,14} ,12->{17},13->{15},14->{16},15->{16},16->{11,12},17->{18},18->{19},19->{9,10},20->{21}] + Applied Processor: Unfold + Details: () * Step 4: Decompose WORST_CASE(?,POLY) + Considered Problem: Rules: eval_sipmabubble_start.0(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb0_in.1(v_24,v_i_0,v_j_0 ,v_n) True eval_sipmabubble_bb0_in.1(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_0.2(v_24,v_i_0,v_j_0,v_n) True eval_sipmabubble_0.2(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_1.3(v_24,v_i_0,v_j_0,v_n) True eval_sipmabubble_1.3(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_2.4(v_24,v_i_0,v_j_0,v_n) True eval_sipmabubble_2.4(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_3.5(v_24,v_i_0,v_j_0,v_n) True eval_sipmabubble_3.5(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_4.6(v_24,v_i_0,v_j_0,v_n) True eval_sipmabubble_4.6(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_5.7(v_24,v_i_0,v_j_0,v_n) True eval_sipmabubble_5.7(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_6.8(v_24,v_i_0,v_j_0,v_n) True eval_sipmabubble_6.8(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb1_in.9(v_24,v_n,v_j_0,v_n) True eval_sipmabubble_6.8(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb1_in.10(v_24,v_n,v_j_0,v_n) True eval_sipmabubble_bb1_in.9(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb2_in.11(v_24,v_i_0,0,v_n) [-1*v_i_0 + v_n >= 0 && v_i_0 >= 0] eval_sipmabubble_bb1_in.9(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb2_in.12(v_24,v_i_0,0,v_n) [-1*v_i_0 + v_n >= 0 && v_i_0 >= 0] eval_sipmabubble_bb1_in.10(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb7_in.20(v_24,v_i_0,v_j_0,v_n) [-1*v_i_0 + v_n >= 0 && -1 >= v_i_0] eval_sipmabubble_bb2_in.11(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb3_in.13(v_24,v_i_0,v_j_0,v_n) [v_n >= 0 && v_j_0 + v_n >= 0 && -1*v_j_0 + v_n >= 0 && v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && -1 + v_i_0 >= v_j_0] eval_sipmabubble_bb2_in.11(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb3_in.14(v_24,v_i_0,v_j_0,v_n) [v_n >= 0 && v_j_0 + v_n >= 0 && -1*v_j_0 + v_n >= 0 && v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && -1 + v_i_0 >= v_j_0] eval_sipmabubble_bb2_in.12(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb6_in.17(v_24,v_i_0,v_j_0,v_n) [v_n >= 0 && v_j_0 + v_n >= 0 && -1*v_j_0 + v_n >= 0 && v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && -1 + v_j_0 >= -1 + v_i_0] eval_sipmabubble_bb3_in.13(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb4_in.15(v_24,v_i_0,v_j_0,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_i_0 >= 0 && -1 + nondef_0 >= nondef_1] eval_sipmabubble_bb3_in.14(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb5_in.16(v_24,v_i_0,v_j_0,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_i_0 >= 0 && nondef_1 >= nondef_0] eval_sipmabubble_bb4_in.15(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb5_in.16(v_24,v_i_0,v_j_0,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_i_0 >= 0] eval_sipmabubble_bb5_in.16(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb2_in.11(v_24,v_i_0,1 + v_j_0,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_i_0 >= 0] eval_sipmabubble_bb5_in.16(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb2_in.12(v_24,v_i_0,1 + v_j_0,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_i_0 >= 0] eval_sipmabubble_bb6_in.17(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_29.18(-1 + v_i_0,v_i_0,v_j_0,v_n) [v_n >= 0 && v_j_0 + v_n >= 0 && -1*v_j_0 + v_n >= 0 && v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && v_i_0 >= 0] eval_sipmabubble_29.18(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_30.19(v_24,v_i_0,v_j_0,v_n) [v_n >= 0 && v_j_0 + v_n >= 0 && -1*v_j_0 + v_n >= 0 && v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && 1 + v_24 + v_n >= 0 && -1 + -1*v_24 + v_n >= 0 && v_i_0 + -1*v_j_0 >= 0 && 1 + v_24 + -1*v_j_0 >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && 1 + v_24 + v_j_0 >= 0 && -1 + -1*v_24 + v_j_0 >= 0 && 1 + v_24 + -1*v_i_0 >= 0 && v_i_0 >= 0 && 1 + v_24 + v_i_0 >= 0 && -1 + -1*v_24 + v_i_0 >= 0 && 1 + v_24 >= 0] eval_sipmabubble_30.19(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb1_in.9(v_24,v_24,v_j_0,v_n) [v_n >= 0 && v_j_0 + v_n >= 0 && -1*v_j_0 + v_n >= 0 && v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && 1 + v_24 + v_n >= 0 && -1 + -1*v_24 + v_n >= 0 && v_i_0 + -1*v_j_0 >= 0 && 1 + v_24 + -1*v_j_0 >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && 1 + v_24 + v_j_0 >= 0 && -1 + -1*v_24 + v_j_0 >= 0 && 1 + v_24 + -1*v_i_0 >= 0 && v_i_0 >= 0 && 1 + v_24 + v_i_0 >= 0 && -1 + -1*v_24 + v_i_0 >= 0 && 1 + v_24 >= 0] eval_sipmabubble_30.19(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb1_in.10(v_24,v_24,v_j_0,v_n) [v_n >= 0 && v_j_0 + v_n >= 0 && -1*v_j_0 + v_n >= 0 && v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && 1 + v_24 + v_n >= 0 && -1 + -1*v_24 + v_n >= 0 && v_i_0 + -1*v_j_0 >= 0 && 1 + v_24 + -1*v_j_0 >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && 1 + v_24 + v_j_0 >= 0 && -1 + -1*v_24 + v_j_0 >= 0 && 1 + v_24 + -1*v_i_0 >= 0 && v_i_0 >= 0 && 1 + v_24 + v_i_0 >= 0 && -1 + -1*v_24 + v_i_0 >= 0 && 1 + v_24 >= 0] eval_sipmabubble_bb7_in.20(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_stop.21(v_24,v_i_0,v_j_0,v_n) [-1*v_i_0 + v_n >= 0 && -1 + -1*v_i_0 >= 0] eval_sipmabubble_stop.21(v_24,v_i_0,v_j_0,v_n) -> exitus616.22(v_24,v_i_0,v_j_0,v_n) True Signature: {(eval_sipmabubble_0.2,4) ;(eval_sipmabubble_1.3,4) ;(eval_sipmabubble_2.4,4) ;(eval_sipmabubble_29.18,4) ;(eval_sipmabubble_3.5,4) ;(eval_sipmabubble_30.19,4) ;(eval_sipmabubble_4.6,4) ;(eval_sipmabubble_5.7,4) ;(eval_sipmabubble_6.8,4) ;(eval_sipmabubble_bb0_in.1,4) ;(eval_sipmabubble_bb1_in.10,4) ;(eval_sipmabubble_bb1_in.9,4) ;(eval_sipmabubble_bb2_in.11,4) ;(eval_sipmabubble_bb2_in.12,4) ;(eval_sipmabubble_bb3_in.13,4) ;(eval_sipmabubble_bb3_in.14,4) ;(eval_sipmabubble_bb4_in.15,4) ;(eval_sipmabubble_bb5_in.16,4) ;(eval_sipmabubble_bb6_in.17,4) ;(eval_sipmabubble_bb7_in.20,4) ;(eval_sipmabubble_start.0,4) ;(eval_sipmabubble_stop.21,4) ;(exitus616.22,4)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8,9},8->{10,11},9->{12},10->{13,14},11->{15} ,12->{25},13->{16},14->{17},15->{21},16->{18},17->{19,20},18->{19,20},19->{13,14},20->{15},21->{22},22->{23 ,24},23->{10,11},24->{12},25->{26},26->{}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26] | `- p:[10,23,22,21,15,11,20,17,14,19,18,16,13] c: [10,11,15,20,21,22,23] | `- p:[13,19,17,14,18,16] c: [13,14,16,17,18,19] * Step 5: AbstractSize WORST_CASE(?,POLY) + Considered Problem: (Rules: eval_sipmabubble_start.0(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb0_in.1(v_24,v_i_0,v_j_0 ,v_n) True eval_sipmabubble_bb0_in.1(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_0.2(v_24,v_i_0,v_j_0,v_n) True eval_sipmabubble_0.2(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_1.3(v_24,v_i_0,v_j_0,v_n) True eval_sipmabubble_1.3(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_2.4(v_24,v_i_0,v_j_0,v_n) True eval_sipmabubble_2.4(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_3.5(v_24,v_i_0,v_j_0,v_n) True eval_sipmabubble_3.5(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_4.6(v_24,v_i_0,v_j_0,v_n) True eval_sipmabubble_4.6(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_5.7(v_24,v_i_0,v_j_0,v_n) True eval_sipmabubble_5.7(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_6.8(v_24,v_i_0,v_j_0,v_n) True eval_sipmabubble_6.8(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb1_in.9(v_24,v_n,v_j_0,v_n) True eval_sipmabubble_6.8(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb1_in.10(v_24,v_n,v_j_0,v_n) True eval_sipmabubble_bb1_in.9(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb2_in.11(v_24,v_i_0,0,v_n) [-1*v_i_0 + v_n >= 0 && v_i_0 >= 0] eval_sipmabubble_bb1_in.9(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb2_in.12(v_24,v_i_0,0,v_n) [-1*v_i_0 + v_n >= 0 && v_i_0 >= 0] eval_sipmabubble_bb1_in.10(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb7_in.20(v_24,v_i_0,v_j_0,v_n) [-1*v_i_0 + v_n >= 0 && -1 >= v_i_0] eval_sipmabubble_bb2_in.11(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb3_in.13(v_24,v_i_0,v_j_0,v_n) [v_n >= 0 && v_j_0 + v_n >= 0 && -1*v_j_0 + v_n >= 0 && v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && -1 + v_i_0 >= v_j_0] eval_sipmabubble_bb2_in.11(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb3_in.14(v_24,v_i_0,v_j_0,v_n) [v_n >= 0 && v_j_0 + v_n >= 0 && -1*v_j_0 + v_n >= 0 && v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && -1 + v_i_0 >= v_j_0] eval_sipmabubble_bb2_in.12(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb6_in.17(v_24,v_i_0,v_j_0,v_n) [v_n >= 0 && v_j_0 + v_n >= 0 && -1*v_j_0 + v_n >= 0 && v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && v_i_0 >= 0 && -1 + v_j_0 >= -1 + v_i_0] eval_sipmabubble_bb3_in.13(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb4_in.15(v_24,v_i_0,v_j_0,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_i_0 >= 0 && -1 + nondef_0 >= nondef_1] eval_sipmabubble_bb3_in.14(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb5_in.16(v_24,v_i_0,v_j_0,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_i_0 >= 0 && nondef_1 >= nondef_0] eval_sipmabubble_bb4_in.15(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb5_in.16(v_24,v_i_0,v_j_0,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_i_0 >= 0] eval_sipmabubble_bb5_in.16(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb2_in.11(v_24,v_i_0,1 + v_j_0,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_i_0 >= 0] eval_sipmabubble_bb5_in.16(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb2_in.12(v_24,v_i_0,1 + v_j_0,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_i_0 >= 0] eval_sipmabubble_bb6_in.17(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_29.18(-1 + v_i_0,v_i_0,v_j_0,v_n) [v_n >= 0 && v_j_0 + v_n >= 0 && -1*v_j_0 + v_n >= 0 && v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && v_i_0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && v_i_0 >= 0] eval_sipmabubble_29.18(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_30.19(v_24,v_i_0,v_j_0,v_n) [v_n >= 0 && v_j_0 + v_n >= 0 && -1*v_j_0 + v_n >= 0 && v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && 1 + v_24 + v_n >= 0 && -1 + -1*v_24 + v_n >= 0 && v_i_0 + -1*v_j_0 >= 0 && 1 + v_24 + -1*v_j_0 >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && 1 + v_24 + v_j_0 >= 0 && -1 + -1*v_24 + v_j_0 >= 0 && 1 + v_24 + -1*v_i_0 >= 0 && v_i_0 >= 0 && 1 + v_24 + v_i_0 >= 0 && -1 + -1*v_24 + v_i_0 >= 0 && 1 + v_24 >= 0] eval_sipmabubble_30.19(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb1_in.9(v_24,v_24,v_j_0,v_n) [v_n >= 0 && v_j_0 + v_n >= 0 && -1*v_j_0 + v_n >= 0 && v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && 1 + v_24 + v_n >= 0 && -1 + -1*v_24 + v_n >= 0 && v_i_0 + -1*v_j_0 >= 0 && 1 + v_24 + -1*v_j_0 >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && 1 + v_24 + v_j_0 >= 0 && -1 + -1*v_24 + v_j_0 >= 0 && 1 + v_24 + -1*v_i_0 >= 0 && v_i_0 >= 0 && 1 + v_24 + v_i_0 >= 0 && -1 + -1*v_24 + v_i_0 >= 0 && 1 + v_24 >= 0] eval_sipmabubble_30.19(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_bb1_in.10(v_24,v_24,v_j_0,v_n) [v_n >= 0 && v_j_0 + v_n >= 0 && -1*v_j_0 + v_n >= 0 && v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && 1 + v_24 + v_n >= 0 && -1 + -1*v_24 + v_n >= 0 && v_i_0 + -1*v_j_0 >= 0 && 1 + v_24 + -1*v_j_0 >= 0 && v_j_0 >= 0 && v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && 1 + v_24 + v_j_0 >= 0 && -1 + -1*v_24 + v_j_0 >= 0 && 1 + v_24 + -1*v_i_0 >= 0 && v_i_0 >= 0 && 1 + v_24 + v_i_0 >= 0 && -1 + -1*v_24 + v_i_0 >= 0 && 1 + v_24 >= 0] eval_sipmabubble_bb7_in.20(v_24,v_i_0,v_j_0,v_n) -> eval_sipmabubble_stop.21(v_24,v_i_0,v_j_0,v_n) [-1*v_i_0 + v_n >= 0 && -1 + -1*v_i_0 >= 0] eval_sipmabubble_stop.21(v_24,v_i_0,v_j_0,v_n) -> exitus616.22(v_24,v_i_0,v_j_0,v_n) True Signature: {(eval_sipmabubble_0.2,4) ;(eval_sipmabubble_1.3,4) ;(eval_sipmabubble_2.4,4) ;(eval_sipmabubble_29.18,4) ;(eval_sipmabubble_3.5,4) ;(eval_sipmabubble_30.19,4) ;(eval_sipmabubble_4.6,4) ;(eval_sipmabubble_5.7,4) ;(eval_sipmabubble_6.8,4) ;(eval_sipmabubble_bb0_in.1,4) ;(eval_sipmabubble_bb1_in.10,4) ;(eval_sipmabubble_bb1_in.9,4) ;(eval_sipmabubble_bb2_in.11,4) ;(eval_sipmabubble_bb2_in.12,4) ;(eval_sipmabubble_bb3_in.13,4) ;(eval_sipmabubble_bb3_in.14,4) ;(eval_sipmabubble_bb4_in.15,4) ;(eval_sipmabubble_bb5_in.16,4) ;(eval_sipmabubble_bb6_in.17,4) ;(eval_sipmabubble_bb7_in.20,4) ;(eval_sipmabubble_start.0,4) ;(eval_sipmabubble_stop.21,4) ;(exitus616.22,4)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8,9},8->{10,11},9->{12},10->{13,14},11->{15} ,12->{25},13->{16},14->{17},15->{21},16->{18},17->{19,20},18->{19,20},19->{13,14},20->{15},21->{22},22->{23 ,24},23->{10,11},24->{12},25->{26},26->{}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26] | `- p:[10,23,22,21,15,11,20,17,14,19,18,16,13] c: [10,11,15,20,21,22,23] | `- p:[13,19,17,14,18,16] c: [13,14,16,17,18,19]) + Applied Processor: AbstractSize Minimize + Details: () * Step 6: AbstractFlow WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [v_24,v_i_0,v_j_0,v_n,0.0,0.0.0] eval_sipmabubble_start.0 ~> eval_sipmabubble_bb0_in.1 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_bb0_in.1 ~> eval_sipmabubble_0.2 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_0.2 ~> eval_sipmabubble_1.3 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_1.3 ~> eval_sipmabubble_2.4 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_2.4 ~> eval_sipmabubble_3.5 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_3.5 ~> eval_sipmabubble_4.6 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_4.6 ~> eval_sipmabubble_5.7 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_5.7 ~> eval_sipmabubble_6.8 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_6.8 ~> eval_sipmabubble_bb1_in.9 [v_24 <= v_24, v_i_0 <= v_n, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_6.8 ~> eval_sipmabubble_bb1_in.10 [v_24 <= v_24, v_i_0 <= v_n, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_bb1_in.9 ~> eval_sipmabubble_bb2_in.11 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= 0*K, v_n <= v_n] eval_sipmabubble_bb1_in.9 ~> eval_sipmabubble_bb2_in.12 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= 0*K, v_n <= v_n] eval_sipmabubble_bb1_in.10 ~> eval_sipmabubble_bb7_in.20 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_bb2_in.11 ~> eval_sipmabubble_bb3_in.13 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_bb2_in.11 ~> eval_sipmabubble_bb3_in.14 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_bb2_in.12 ~> eval_sipmabubble_bb6_in.17 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_bb3_in.13 ~> eval_sipmabubble_bb4_in.15 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_bb3_in.14 ~> eval_sipmabubble_bb5_in.16 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_bb4_in.15 ~> eval_sipmabubble_bb5_in.16 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_bb5_in.16 ~> eval_sipmabubble_bb2_in.11 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_n, v_n <= v_n] eval_sipmabubble_bb5_in.16 ~> eval_sipmabubble_bb2_in.12 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_n, v_n <= v_n] eval_sipmabubble_bb6_in.17 ~> eval_sipmabubble_29.18 [v_24 <= K + v_n, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_29.18 ~> eval_sipmabubble_30.19 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_30.19 ~> eval_sipmabubble_bb1_in.9 [v_24 <= v_24, v_i_0 <= v_24, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_30.19 ~> eval_sipmabubble_bb1_in.10 [v_24 <= v_24, v_i_0 <= v_24, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_bb7_in.20 ~> eval_sipmabubble_stop.21 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_stop.21 ~> exitus616.22 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] + Loop: [0.0 <= v_i_0] eval_sipmabubble_bb1_in.9 ~> eval_sipmabubble_bb2_in.11 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= 0*K, v_n <= v_n] eval_sipmabubble_30.19 ~> eval_sipmabubble_bb1_in.9 [v_24 <= v_24, v_i_0 <= v_24, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_29.18 ~> eval_sipmabubble_30.19 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_bb6_in.17 ~> eval_sipmabubble_29.18 [v_24 <= K + v_n, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_bb2_in.12 ~> eval_sipmabubble_bb6_in.17 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_bb1_in.9 ~> eval_sipmabubble_bb2_in.12 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= 0*K, v_n <= v_n] eval_sipmabubble_bb5_in.16 ~> eval_sipmabubble_bb2_in.12 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_n, v_n <= v_n] eval_sipmabubble_bb3_in.14 ~> eval_sipmabubble_bb5_in.16 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_bb2_in.11 ~> eval_sipmabubble_bb3_in.14 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_bb5_in.16 ~> eval_sipmabubble_bb2_in.11 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_n, v_n <= v_n] eval_sipmabubble_bb4_in.15 ~> eval_sipmabubble_bb5_in.16 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_bb3_in.13 ~> eval_sipmabubble_bb4_in.15 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_bb2_in.11 ~> eval_sipmabubble_bb3_in.13 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] + Loop: [0.0.0 <= v_i_0 + v_j_0] eval_sipmabubble_bb2_in.11 ~> eval_sipmabubble_bb3_in.13 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_bb5_in.16 ~> eval_sipmabubble_bb2_in.11 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_n, v_n <= v_n] eval_sipmabubble_bb3_in.14 ~> eval_sipmabubble_bb5_in.16 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_bb2_in.11 ~> eval_sipmabubble_bb3_in.14 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_bb4_in.15 ~> eval_sipmabubble_bb5_in.16 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] eval_sipmabubble_bb3_in.13 ~> eval_sipmabubble_bb4_in.15 [v_24 <= v_24, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_n <= v_n] + Applied Processor: AbstractFlow + Details: () * Step 7: Lare WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [tick,huge,K,v_24,v_i_0,v_j_0,v_n,0.0,0.0.0] eval_sipmabubble_start.0 ~> eval_sipmabubble_bb0_in.1 [] eval_sipmabubble_bb0_in.1 ~> eval_sipmabubble_0.2 [] eval_sipmabubble_0.2 ~> eval_sipmabubble_1.3 [] eval_sipmabubble_1.3 ~> eval_sipmabubble_2.4 [] eval_sipmabubble_2.4 ~> eval_sipmabubble_3.5 [] eval_sipmabubble_3.5 ~> eval_sipmabubble_4.6 [] eval_sipmabubble_4.6 ~> eval_sipmabubble_5.7 [] eval_sipmabubble_5.7 ~> eval_sipmabubble_6.8 [] eval_sipmabubble_6.8 ~> eval_sipmabubble_bb1_in.9 [v_n ~=> v_i_0] eval_sipmabubble_6.8 ~> eval_sipmabubble_bb1_in.10 [v_n ~=> v_i_0] eval_sipmabubble_bb1_in.9 ~> eval_sipmabubble_bb2_in.11 [K ~=> v_j_0] eval_sipmabubble_bb1_in.9 ~> eval_sipmabubble_bb2_in.12 [K ~=> v_j_0] eval_sipmabubble_bb1_in.10 ~> eval_sipmabubble_bb7_in.20 [] eval_sipmabubble_bb2_in.11 ~> eval_sipmabubble_bb3_in.13 [] eval_sipmabubble_bb2_in.11 ~> eval_sipmabubble_bb3_in.14 [] eval_sipmabubble_bb2_in.12 ~> eval_sipmabubble_bb6_in.17 [] eval_sipmabubble_bb3_in.13 ~> eval_sipmabubble_bb4_in.15 [] eval_sipmabubble_bb3_in.14 ~> eval_sipmabubble_bb5_in.16 [] eval_sipmabubble_bb4_in.15 ~> eval_sipmabubble_bb5_in.16 [] eval_sipmabubble_bb5_in.16 ~> eval_sipmabubble_bb2_in.11 [v_n ~=> v_j_0] eval_sipmabubble_bb5_in.16 ~> eval_sipmabubble_bb2_in.12 [v_n ~=> v_j_0] eval_sipmabubble_bb6_in.17 ~> eval_sipmabubble_29.18 [v_n ~+> v_24,K ~+> v_24] eval_sipmabubble_29.18 ~> eval_sipmabubble_30.19 [] eval_sipmabubble_30.19 ~> eval_sipmabubble_bb1_in.9 [v_24 ~=> v_i_0] eval_sipmabubble_30.19 ~> eval_sipmabubble_bb1_in.10 [v_24 ~=> v_i_0] eval_sipmabubble_bb7_in.20 ~> eval_sipmabubble_stop.21 [] eval_sipmabubble_stop.21 ~> exitus616.22 [] + Loop: [v_i_0 ~=> 0.0] eval_sipmabubble_bb1_in.9 ~> eval_sipmabubble_bb2_in.11 [K ~=> v_j_0] eval_sipmabubble_30.19 ~> eval_sipmabubble_bb1_in.9 [v_24 ~=> v_i_0] eval_sipmabubble_29.18 ~> eval_sipmabubble_30.19 [] eval_sipmabubble_bb6_in.17 ~> eval_sipmabubble_29.18 [v_n ~+> v_24,K ~+> v_24] eval_sipmabubble_bb2_in.12 ~> eval_sipmabubble_bb6_in.17 [] eval_sipmabubble_bb1_in.9 ~> eval_sipmabubble_bb2_in.12 [K ~=> v_j_0] eval_sipmabubble_bb5_in.16 ~> eval_sipmabubble_bb2_in.12 [v_n ~=> v_j_0] eval_sipmabubble_bb3_in.14 ~> eval_sipmabubble_bb5_in.16 [] eval_sipmabubble_bb2_in.11 ~> eval_sipmabubble_bb3_in.14 [] eval_sipmabubble_bb5_in.16 ~> eval_sipmabubble_bb2_in.11 [v_n ~=> v_j_0] eval_sipmabubble_bb4_in.15 ~> eval_sipmabubble_bb5_in.16 [] eval_sipmabubble_bb3_in.13 ~> eval_sipmabubble_bb4_in.15 [] eval_sipmabubble_bb2_in.11 ~> eval_sipmabubble_bb3_in.13 [] + Loop: [v_i_0 ~+> 0.0.0,v_j_0 ~+> 0.0.0] eval_sipmabubble_bb2_in.11 ~> eval_sipmabubble_bb3_in.13 [] eval_sipmabubble_bb5_in.16 ~> eval_sipmabubble_bb2_in.11 [v_n ~=> v_j_0] eval_sipmabubble_bb3_in.14 ~> eval_sipmabubble_bb5_in.16 [] eval_sipmabubble_bb2_in.11 ~> eval_sipmabubble_bb3_in.14 [] eval_sipmabubble_bb4_in.15 ~> eval_sipmabubble_bb5_in.16 [] eval_sipmabubble_bb3_in.13 ~> eval_sipmabubble_bb4_in.15 [] + Applied Processor: Lare + Details: eval_sipmabubble_start.0 ~> exitus616.22 [v_24 ~=> v_i_0 ,v_n ~=> v_i_0 ,v_n ~=> v_j_0 ,v_n ~=> 0.0 ,K ~=> v_j_0 ,v_n ~+> v_24 ,v_n ~+> v_i_0 ,v_n ~+> 0.0.0 ,v_n ~+> tick ,tick ~+> tick ,K ~+> v_24 ,K ~+> v_i_0 ,K ~+> 0.0.0 ,K ~+> tick ,v_n ~*> tick ,K ~*> 0.0.0 ,K ~*> tick] + eval_sipmabubble_30.19> [v_i_0 ~=> 0.0 ,v_n ~=> v_j_0 ,K ~=> v_j_0 ,v_i_0 ~+> 0.0.0 ,v_i_0 ~+> tick ,v_n ~+> v_24 ,v_n ~+> v_i_0 ,v_n ~+> 0.0.0 ,v_n ~+> tick ,tick ~+> tick ,K ~+> v_24 ,K ~+> v_i_0 ,K ~+> 0.0.0 ,K ~+> tick ,v_i_0 ~*> tick ,v_n ~*> tick ,K ~*> 0.0.0 ,K ~*> tick] + eval_sipmabubble_bb5_in.16> [v_n ~=> v_j_0 ,v_i_0 ~+> 0.0.0 ,v_i_0 ~+> tick ,v_j_0 ~+> 0.0.0 ,v_j_0 ~+> tick ,tick ~+> tick] YES(?,POLY)