YES(?,POLY) * Step 1: UnsatPaths WORST_CASE(?,POLY) + Considered Problem: Rules: 0. eval_insertsort_start(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb0_in(v_20,v_3,v_i_0,v_j_0,v_length) True (1,1) 1. eval_insertsort_bb0_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_0(v_20,v_3,v_i_0,v_j_0,v_length) True (?,1) 2. eval_insertsort_0(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_1(v_20,v_3,v_i_0,v_j_0,v_length) True (?,1) 3. eval_insertsort_1(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_2(v_20,v_3,v_i_0,v_j_0,v_length) True (?,1) 4. eval_insertsort_2(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_3(v_20,v_3,v_i_0,v_j_0,v_length) True (?,1) 5. eval_insertsort_3(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_4(v_20,v_3,v_i_0,v_j_0,v_length) True (?,1) 6. eval_insertsort_4(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_5(v_20,v_3,v_i_0,v_j_0,v_length) True (?,1) 7. eval_insertsort_5(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_6(v_20,v_3,v_i_0,v_j_0,v_length) True (?,1) 8. eval_insertsort_6(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb1_in(v_20,v_3,1,v_j_0,v_length) True (?,1) 9. eval_insertsort_bb1_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb2_in(v_20,v_3,v_i_0,v_j_0,v_length) [-1 + v_i_0 >= 0 && -1 + v_length >= v_i_0] (?,1) 10. eval_insertsort_bb1_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb7_in(v_20,v_3,v_i_0,v_j_0,v_length) [-1 + v_i_0 >= 0 && v_i_0 >= v_length] (?,1) 11. eval_insertsort_bb2_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb3_in(v_20,nondef_0,v_i_0,-1 + v_i_0,v_length) [-2 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -1 + v_i_0 >= 0] (?,1) 12. eval_insertsort_bb3_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb4_in(v_20,v_3,v_i_0,v_j_0,v_length) [-2 + v_length >= 0 (?,1) && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_i_0 >= 0 && v_j_0 >= 0] 13. eval_insertsort_bb3_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb6_in(v_20,v_3,v_i_0,v_j_0,v_length) [-2 + v_length >= 0 (?,1) && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_i_0 >= 0 && -1 >= v_j_0] 14. eval_insertsort_bb4_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb5_in(v_20,v_3,v_i_0,v_j_0,v_length) [-2 + v_length >= 0 (?,1) && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 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_1 >= v_3] 15. eval_insertsort_bb4_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb6_in(v_20,v_3,v_i_0,v_j_0,v_length) [-2 + v_length >= 0 (?,1) && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 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 && v_3 >= nondef_1] 16. eval_insertsort_bb5_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb3_in(v_20,v_3,v_i_0,-1 + v_j_0,v_length) [-2 + v_length >= 0 (?,1) && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 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_insertsort_bb6_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_25(1 + v_i_0,v_3,v_i_0,v_j_0,v_length) [-2 + v_length >= 0 (?,1) && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_i_0 >= 0] 18. eval_insertsort_25(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_26(v_20,v_3,v_i_0,v_j_0,v_length) [-2 + v_length >= 0 (?,1) && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -4 + v_20 + v_length >= 0 && -1*v_20 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -2 + v_20 + -1*v_j_0 >= 0 && -1 + v_20 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -3 + v_20 + v_i_0 >= 0 && 1 + -1*v_20 + v_i_0 >= 0 && -2 + v_20 >= 0] 19. eval_insertsort_26(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb1_in(v_20,v_3,v_20,v_j_0,v_length) [-2 + v_length >= 0 (?,1) && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -4 + v_20 + v_length >= 0 && -1*v_20 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -2 + v_20 + -1*v_j_0 >= 0 && -1 + v_20 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -3 + v_20 + v_i_0 >= 0 && 1 + -1*v_20 + v_i_0 >= 0 && -2 + v_20 >= 0] 20. eval_insertsort_bb7_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_stop(v_20,v_3,v_i_0,v_j_0,v_length) [v_i_0 + -1*v_length >= 0 && -1 + v_i_0 >= 0] (?,1) Signature: {(eval_insertsort_0,5) ;(eval_insertsort_1,5) ;(eval_insertsort_2,5) ;(eval_insertsort_25,5) ;(eval_insertsort_26,5) ;(eval_insertsort_3,5) ;(eval_insertsort_4,5) ;(eval_insertsort_5,5) ;(eval_insertsort_6,5) ;(eval_insertsort_bb0_in,5) ;(eval_insertsort_bb1_in,5) ;(eval_insertsort_bb2_in,5) ;(eval_insertsort_bb3_in,5) ;(eval_insertsort_bb4_in,5) ;(eval_insertsort_bb5_in,5) ;(eval_insertsort_bb6_in,5) ;(eval_insertsort_bb7_in,5) ;(eval_insertsort_start,5) ;(eval_insertsort_stop,5)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9,10},9->{11},10->{20},11->{12,13},12->{14 ,15},13->{17},14->{16},15->{17},16->{12,13},17->{18},18->{19},19->{9,10},20->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(11,13)] * Step 2: FromIts WORST_CASE(?,POLY) + Considered Problem: Rules: 0. eval_insertsort_start(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb0_in(v_20,v_3,v_i_0,v_j_0,v_length) True (1,1) 1. eval_insertsort_bb0_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_0(v_20,v_3,v_i_0,v_j_0,v_length) True (?,1) 2. eval_insertsort_0(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_1(v_20,v_3,v_i_0,v_j_0,v_length) True (?,1) 3. eval_insertsort_1(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_2(v_20,v_3,v_i_0,v_j_0,v_length) True (?,1) 4. eval_insertsort_2(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_3(v_20,v_3,v_i_0,v_j_0,v_length) True (?,1) 5. eval_insertsort_3(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_4(v_20,v_3,v_i_0,v_j_0,v_length) True (?,1) 6. eval_insertsort_4(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_5(v_20,v_3,v_i_0,v_j_0,v_length) True (?,1) 7. eval_insertsort_5(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_6(v_20,v_3,v_i_0,v_j_0,v_length) True (?,1) 8. eval_insertsort_6(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb1_in(v_20,v_3,1,v_j_0,v_length) True (?,1) 9. eval_insertsort_bb1_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb2_in(v_20,v_3,v_i_0,v_j_0,v_length) [-1 + v_i_0 >= 0 && -1 + v_length >= v_i_0] (?,1) 10. eval_insertsort_bb1_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb7_in(v_20,v_3,v_i_0,v_j_0,v_length) [-1 + v_i_0 >= 0 && v_i_0 >= v_length] (?,1) 11. eval_insertsort_bb2_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb3_in(v_20,nondef_0,v_i_0,-1 + v_i_0,v_length) [-2 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -1 + v_i_0 >= 0] (?,1) 12. eval_insertsort_bb3_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb4_in(v_20,v_3,v_i_0,v_j_0,v_length) [-2 + v_length >= 0 (?,1) && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_i_0 >= 0 && v_j_0 >= 0] 13. eval_insertsort_bb3_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb6_in(v_20,v_3,v_i_0,v_j_0,v_length) [-2 + v_length >= 0 (?,1) && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_i_0 >= 0 && -1 >= v_j_0] 14. eval_insertsort_bb4_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb5_in(v_20,v_3,v_i_0,v_j_0,v_length) [-2 + v_length >= 0 (?,1) && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 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_1 >= v_3] 15. eval_insertsort_bb4_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb6_in(v_20,v_3,v_i_0,v_j_0,v_length) [-2 + v_length >= 0 (?,1) && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 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 && v_3 >= nondef_1] 16. eval_insertsort_bb5_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb3_in(v_20,v_3,v_i_0,-1 + v_j_0,v_length) [-2 + v_length >= 0 (?,1) && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 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_insertsort_bb6_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_25(1 + v_i_0,v_3,v_i_0,v_j_0,v_length) [-2 + v_length >= 0 (?,1) && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_i_0 >= 0] 18. eval_insertsort_25(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_26(v_20,v_3,v_i_0,v_j_0,v_length) [-2 + v_length >= 0 (?,1) && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -4 + v_20 + v_length >= 0 && -1*v_20 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -2 + v_20 + -1*v_j_0 >= 0 && -1 + v_20 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -3 + v_20 + v_i_0 >= 0 && 1 + -1*v_20 + v_i_0 >= 0 && -2 + v_20 >= 0] 19. eval_insertsort_26(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb1_in(v_20,v_3,v_20,v_j_0,v_length) [-2 + v_length >= 0 (?,1) && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -4 + v_20 + v_length >= 0 && -1*v_20 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -2 + v_20 + -1*v_j_0 >= 0 && -1 + v_20 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -3 + v_20 + v_i_0 >= 0 && 1 + -1*v_20 + v_i_0 >= 0 && -2 + v_20 >= 0] 20. eval_insertsort_bb7_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_stop(v_20,v_3,v_i_0,v_j_0,v_length) [v_i_0 + -1*v_length >= 0 && -1 + v_i_0 >= 0] (?,1) Signature: {(eval_insertsort_0,5) ;(eval_insertsort_1,5) ;(eval_insertsort_2,5) ;(eval_insertsort_25,5) ;(eval_insertsort_26,5) ;(eval_insertsort_3,5) ;(eval_insertsort_4,5) ;(eval_insertsort_5,5) ;(eval_insertsort_6,5) ;(eval_insertsort_bb0_in,5) ;(eval_insertsort_bb1_in,5) ;(eval_insertsort_bb2_in,5) ;(eval_insertsort_bb3_in,5) ;(eval_insertsort_bb4_in,5) ;(eval_insertsort_bb5_in,5) ;(eval_insertsort_bb6_in,5) ;(eval_insertsort_bb7_in,5) ;(eval_insertsort_start,5) ;(eval_insertsort_stop,5)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9,10},9->{11},10->{20},11->{12},12->{14,15} ,13->{17},14->{16},15->{17},16->{12,13},17->{18},18->{19},19->{9,10},20->{}] + Applied Processor: FromIts + Details: () * Step 3: Unfold WORST_CASE(?,POLY) + Considered Problem: Rules: eval_insertsort_start(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb0_in(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_bb0_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_0(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_0(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_1(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_1(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_2(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_2(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_3(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_3(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_4(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_4(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_5(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_5(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_6(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_6(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb1_in(v_20,v_3,1,v_j_0 ,v_length) True eval_insertsort_bb1_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb2_in(v_20,v_3,v_i_0,v_j_0 ,v_length) [-1 + v_i_0 >= 0 && -1 + v_length >= v_i_0] eval_insertsort_bb1_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb7_in(v_20,v_3,v_i_0,v_j_0 ,v_length) [-1 + v_i_0 >= 0 && v_i_0 >= v_length] eval_insertsort_bb2_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb3_in(v_20,nondef_0,v_i_0 ,-1 + v_i_0 ,v_length) [-2 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -1 + v_i_0 >= 0] eval_insertsort_bb3_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb4_in(v_20,v_3,v_i_0,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_i_0 >= 0 && v_j_0 >= 0] eval_insertsort_bb3_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb6_in(v_20,v_3,v_i_0,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_i_0 >= 0 && -1 >= v_j_0] eval_insertsort_bb4_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb5_in(v_20,v_3,v_i_0,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 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_1 >= v_3] eval_insertsort_bb4_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb6_in(v_20,v_3,v_i_0,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 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 && v_3 >= nondef_1] eval_insertsort_bb5_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb3_in(v_20,v_3,v_i_0,-1 + v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 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_insertsort_bb6_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_25(1 + v_i_0,v_3,v_i_0,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_i_0 >= 0] eval_insertsort_25(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_26(v_20,v_3,v_i_0,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -4 + v_20 + v_length >= 0 && -1*v_20 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -2 + v_20 + -1*v_j_0 >= 0 && -1 + v_20 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -3 + v_20 + v_i_0 >= 0 && 1 + -1*v_20 + v_i_0 >= 0 && -2 + v_20 >= 0] eval_insertsort_26(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb1_in(v_20,v_3,v_20,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -4 + v_20 + v_length >= 0 && -1*v_20 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -2 + v_20 + -1*v_j_0 >= 0 && -1 + v_20 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -3 + v_20 + v_i_0 >= 0 && 1 + -1*v_20 + v_i_0 >= 0 && -2 + v_20 >= 0] eval_insertsort_bb7_in(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_stop(v_20,v_3,v_i_0,v_j_0 ,v_length) [v_i_0 + -1*v_length >= 0 && -1 + v_i_0 >= 0] Signature: {(eval_insertsort_0,5) ;(eval_insertsort_1,5) ;(eval_insertsort_2,5) ;(eval_insertsort_25,5) ;(eval_insertsort_26,5) ;(eval_insertsort_3,5) ;(eval_insertsort_4,5) ;(eval_insertsort_5,5) ;(eval_insertsort_6,5) ;(eval_insertsort_bb0_in,5) ;(eval_insertsort_bb1_in,5) ;(eval_insertsort_bb2_in,5) ;(eval_insertsort_bb3_in,5) ;(eval_insertsort_bb4_in,5) ;(eval_insertsort_bb5_in,5) ;(eval_insertsort_bb6_in,5) ;(eval_insertsort_bb7_in,5) ;(eval_insertsort_start,5) ;(eval_insertsort_stop,5)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9,10},9->{11},10->{20},11->{12},12->{14,15} ,13->{17},14->{16},15->{17},16->{12,13},17->{18},18->{19},19->{9,10},20->{}] + Applied Processor: Unfold + Details: () * Step 4: AddSinks WORST_CASE(?,POLY) + Considered Problem: Rules: eval_insertsort_start.0(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb0_in.1(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_bb0_in.1(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_0.2(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_0.2(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_1.3(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_1.3(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_2.4(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_2.4(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_3.5(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_3.5(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_4.6(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_4.6(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_5.7(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_5.7(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_6.8(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_6.8(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb1_in.9(v_20,v_3,1,v_j_0 ,v_length) True eval_insertsort_6.8(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb1_in.10(v_20,v_3,1,v_j_0 ,v_length) True eval_insertsort_bb1_in.9(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb2_in.11(v_20,v_3,v_i_0,v_j_0 ,v_length) [-1 + v_i_0 >= 0 && -1 + v_length >= v_i_0] eval_insertsort_bb1_in.10(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb7_in.20(v_20,v_3,v_i_0,v_j_0 ,v_length) [-1 + v_i_0 >= 0 && v_i_0 >= v_length] eval_insertsort_bb2_in.11(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb3_in.12(v_20,nondef_0,v_i_0 ,-1 + v_i_0 ,v_length) [-2 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -1 + v_i_0 >= 0] eval_insertsort_bb3_in.12(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb4_in.14(v_20,v_3,v_i_0,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_i_0 >= 0 && v_j_0 >= 0] eval_insertsort_bb3_in.12(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb4_in.15(v_20,v_3,v_i_0,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_i_0 >= 0 && v_j_0 >= 0] eval_insertsort_bb3_in.13(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb6_in.17(v_20,v_3,v_i_0,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_i_0 >= 0 && -1 >= v_j_0] eval_insertsort_bb4_in.14(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb5_in.16(v_20,v_3,v_i_0,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 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_1 >= v_3] eval_insertsort_bb4_in.15(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb6_in.17(v_20,v_3,v_i_0,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 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 && v_3 >= nondef_1] eval_insertsort_bb5_in.16(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb3_in.12(v_20,v_3,v_i_0 ,-1 + v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 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_insertsort_bb5_in.16(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb3_in.13(v_20,v_3,v_i_0 ,-1 + v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 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_insertsort_bb6_in.17(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_25.18(1 + v_i_0,v_3,v_i_0,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_i_0 >= 0] eval_insertsort_25.18(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_26.19(v_20,v_3,v_i_0,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -4 + v_20 + v_length >= 0 && -1*v_20 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -2 + v_20 + -1*v_j_0 >= 0 && -1 + v_20 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -3 + v_20 + v_i_0 >= 0 && 1 + -1*v_20 + v_i_0 >= 0 && -2 + v_20 >= 0] eval_insertsort_26.19(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb1_in.9(v_20,v_3,v_20,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -4 + v_20 + v_length >= 0 && -1*v_20 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -2 + v_20 + -1*v_j_0 >= 0 && -1 + v_20 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -3 + v_20 + v_i_0 >= 0 && 1 + -1*v_20 + v_i_0 >= 0 && -2 + v_20 >= 0] eval_insertsort_26.19(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb1_in.10(v_20,v_3,v_20,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -4 + v_20 + v_length >= 0 && -1*v_20 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -2 + v_20 + -1*v_j_0 >= 0 && -1 + v_20 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -3 + v_20 + v_i_0 >= 0 && 1 + -1*v_20 + v_i_0 >= 0 && -2 + v_20 >= 0] eval_insertsort_bb7_in.20(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_stop.21(v_20,v_3,v_i_0,v_j_0 ,v_length) [v_i_0 + -1*v_length >= 0 && -1 + v_i_0 >= 0] Signature: {(eval_insertsort_0.2,5) ;(eval_insertsort_1.3,5) ;(eval_insertsort_2.4,5) ;(eval_insertsort_25.18,5) ;(eval_insertsort_26.19,5) ;(eval_insertsort_3.5,5) ;(eval_insertsort_4.6,5) ;(eval_insertsort_5.7,5) ;(eval_insertsort_6.8,5) ;(eval_insertsort_bb0_in.1,5) ;(eval_insertsort_bb1_in.10,5) ;(eval_insertsort_bb1_in.9,5) ;(eval_insertsort_bb2_in.11,5) ;(eval_insertsort_bb3_in.12,5) ;(eval_insertsort_bb3_in.13,5) ;(eval_insertsort_bb4_in.14,5) ;(eval_insertsort_bb4_in.15,5) ;(eval_insertsort_bb5_in.16,5) ;(eval_insertsort_bb6_in.17,5) ;(eval_insertsort_bb7_in.20,5) ;(eval_insertsort_start.0,5) ;(eval_insertsort_stop.21,5)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8,9},8->{10},9->{11},10->{12},11->{24},12->{13,14} ,13->{16},14->{17},15->{20},16->{18,19},17->{20},18->{13,14},19->{15},20->{21},21->{22,23},22->{10},23->{11} ,24->{}] + Applied Processor: AddSinks + Details: () * Step 5: Decompose WORST_CASE(?,POLY) + Considered Problem: Rules: eval_insertsort_start.0(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb0_in.1(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_bb0_in.1(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_0.2(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_0.2(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_1.3(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_1.3(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_2.4(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_2.4(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_3.5(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_3.5(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_4.6(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_4.6(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_5.7(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_5.7(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_6.8(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_6.8(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb1_in.9(v_20,v_3,1,v_j_0 ,v_length) True eval_insertsort_6.8(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb1_in.10(v_20,v_3,1,v_j_0 ,v_length) True eval_insertsort_bb1_in.9(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb2_in.11(v_20,v_3,v_i_0,v_j_0 ,v_length) [-1 + v_i_0 >= 0 && -1 + v_length >= v_i_0] eval_insertsort_bb1_in.10(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb7_in.20(v_20,v_3,v_i_0,v_j_0 ,v_length) [-1 + v_i_0 >= 0 && v_i_0 >= v_length] eval_insertsort_bb2_in.11(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb3_in.12(v_20,nondef_0,v_i_0 ,-1 + v_i_0 ,v_length) [-2 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -1 + v_i_0 >= 0] eval_insertsort_bb3_in.12(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb4_in.14(v_20,v_3,v_i_0,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_i_0 >= 0 && v_j_0 >= 0] eval_insertsort_bb3_in.12(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb4_in.15(v_20,v_3,v_i_0,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_i_0 >= 0 && v_j_0 >= 0] eval_insertsort_bb3_in.13(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb6_in.17(v_20,v_3,v_i_0,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_i_0 >= 0 && -1 >= v_j_0] eval_insertsort_bb4_in.14(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb5_in.16(v_20,v_3,v_i_0,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 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_1 >= v_3] eval_insertsort_bb4_in.15(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb6_in.17(v_20,v_3,v_i_0,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 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 && v_3 >= nondef_1] eval_insertsort_bb5_in.16(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb3_in.12(v_20,v_3,v_i_0 ,-1 + v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 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_insertsort_bb5_in.16(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb3_in.13(v_20,v_3,v_i_0 ,-1 + v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 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_insertsort_bb6_in.17(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_25.18(1 + v_i_0,v_3,v_i_0,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_i_0 >= 0] eval_insertsort_25.18(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_26.19(v_20,v_3,v_i_0,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -4 + v_20 + v_length >= 0 && -1*v_20 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -2 + v_20 + -1*v_j_0 >= 0 && -1 + v_20 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -3 + v_20 + v_i_0 >= 0 && 1 + -1*v_20 + v_i_0 >= 0 && -2 + v_20 >= 0] eval_insertsort_26.19(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb1_in.9(v_20,v_3,v_20,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -4 + v_20 + v_length >= 0 && -1*v_20 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -2 + v_20 + -1*v_j_0 >= 0 && -1 + v_20 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -3 + v_20 + v_i_0 >= 0 && 1 + -1*v_20 + v_i_0 >= 0 && -2 + v_20 >= 0] eval_insertsort_26.19(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb1_in.10(v_20,v_3,v_20,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -4 + v_20 + v_length >= 0 && -1*v_20 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -2 + v_20 + -1*v_j_0 >= 0 && -1 + v_20 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -3 + v_20 + v_i_0 >= 0 && 1 + -1*v_20 + v_i_0 >= 0 && -2 + v_20 >= 0] eval_insertsort_bb7_in.20(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_stop.21(v_20,v_3,v_i_0,v_j_0 ,v_length) [v_i_0 + -1*v_length >= 0 && -1 + v_i_0 >= 0] eval_insertsort_stop.21(v_20,v_3,v_i_0,v_j_0,v_length) -> exitus616(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_stop.21(v_20,v_3,v_i_0,v_j_0,v_length) -> exitus616(v_20,v_3,v_i_0,v_j_0 ,v_length) True Signature: {(eval_insertsort_0.2,5) ;(eval_insertsort_1.3,5) ;(eval_insertsort_2.4,5) ;(eval_insertsort_25.18,5) ;(eval_insertsort_26.19,5) ;(eval_insertsort_3.5,5) ;(eval_insertsort_4.6,5) ;(eval_insertsort_5.7,5) ;(eval_insertsort_6.8,5) ;(eval_insertsort_bb0_in.1,5) ;(eval_insertsort_bb1_in.10,5) ;(eval_insertsort_bb1_in.9,5) ;(eval_insertsort_bb2_in.11,5) ;(eval_insertsort_bb3_in.12,5) ;(eval_insertsort_bb3_in.13,5) ;(eval_insertsort_bb4_in.14,5) ;(eval_insertsort_bb4_in.15,5) ;(eval_insertsort_bb5_in.16,5) ;(eval_insertsort_bb6_in.17,5) ;(eval_insertsort_bb7_in.20,5) ;(eval_insertsort_start.0,5) ;(eval_insertsort_stop.21,5) ;(exitus616,5)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8,9},8->{10},9->{11},10->{12},11->{24},12->{13,14} ,13->{16},14->{17},15->{20},16->{18,19},17->{20},18->{13,14},19->{15},20->{21},21->{22,23},22->{10},23->{11} ,24->{25,26}] + 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:[10,22,21,20,15,19,16,13,12,18,17,14] c: [10,12,14,15,17,19,20,21,22] | `- p:[13,18,16] c: [13,16,18] * Step 6: AbstractSize WORST_CASE(?,POLY) + Considered Problem: (Rules: eval_insertsort_start.0(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb0_in.1(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_bb0_in.1(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_0.2(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_0.2(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_1.3(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_1.3(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_2.4(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_2.4(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_3.5(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_3.5(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_4.6(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_4.6(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_5.7(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_5.7(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_6.8(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_6.8(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb1_in.9(v_20,v_3,1,v_j_0 ,v_length) True eval_insertsort_6.8(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb1_in.10(v_20,v_3,1,v_j_0 ,v_length) True eval_insertsort_bb1_in.9(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb2_in.11(v_20,v_3,v_i_0,v_j_0 ,v_length) [-1 + v_i_0 >= 0 && -1 + v_length >= v_i_0] eval_insertsort_bb1_in.10(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb7_in.20(v_20,v_3,v_i_0,v_j_0 ,v_length) [-1 + v_i_0 >= 0 && v_i_0 >= v_length] eval_insertsort_bb2_in.11(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb3_in.12(v_20,nondef_0,v_i_0 ,-1 + v_i_0 ,v_length) [-2 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -1 + v_i_0 >= 0] eval_insertsort_bb3_in.12(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb4_in.14(v_20,v_3,v_i_0,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_i_0 >= 0 && v_j_0 >= 0] eval_insertsort_bb3_in.12(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb4_in.15(v_20,v_3,v_i_0,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_i_0 >= 0 && v_j_0 >= 0] eval_insertsort_bb3_in.13(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb6_in.17(v_20,v_3,v_i_0,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_i_0 >= 0 && -1 >= v_j_0] eval_insertsort_bb4_in.14(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb5_in.16(v_20,v_3,v_i_0,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 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_1 >= v_3] eval_insertsort_bb4_in.15(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb6_in.17(v_20,v_3,v_i_0,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 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 && v_3 >= nondef_1] eval_insertsort_bb5_in.16(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb3_in.12(v_20,v_3,v_i_0 ,-1 + v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 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_insertsort_bb5_in.16(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb3_in.13(v_20,v_3,v_i_0 ,-1 + v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 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_insertsort_bb6_in.17(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_25.18(1 + v_i_0,v_3,v_i_0,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_i_0 >= 0] eval_insertsort_25.18(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_26.19(v_20,v_3,v_i_0,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -4 + v_20 + v_length >= 0 && -1*v_20 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -2 + v_20 + -1*v_j_0 >= 0 && -1 + v_20 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -3 + v_20 + v_i_0 >= 0 && 1 + -1*v_20 + v_i_0 >= 0 && -2 + v_20 >= 0] eval_insertsort_26.19(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb1_in.9(v_20,v_3,v_20,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -4 + v_20 + v_length >= 0 && -1*v_20 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -2 + v_20 + -1*v_j_0 >= 0 && -1 + v_20 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -3 + v_20 + v_i_0 >= 0 && 1 + -1*v_20 + v_i_0 >= 0 && -2 + v_20 >= 0] eval_insertsort_26.19(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_bb1_in.10(v_20,v_3,v_20,v_j_0 ,v_length) [-2 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -4 + v_20 + v_length >= 0 && -1*v_20 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -2 + v_20 + -1*v_j_0 >= 0 && -1 + v_20 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -3 + v_20 + v_i_0 >= 0 && 1 + -1*v_20 + v_i_0 >= 0 && -2 + v_20 >= 0] eval_insertsort_bb7_in.20(v_20,v_3,v_i_0,v_j_0,v_length) -> eval_insertsort_stop.21(v_20,v_3,v_i_0,v_j_0 ,v_length) [v_i_0 + -1*v_length >= 0 && -1 + v_i_0 >= 0] eval_insertsort_stop.21(v_20,v_3,v_i_0,v_j_0,v_length) -> exitus616(v_20,v_3,v_i_0,v_j_0 ,v_length) True eval_insertsort_stop.21(v_20,v_3,v_i_0,v_j_0,v_length) -> exitus616(v_20,v_3,v_i_0,v_j_0 ,v_length) True Signature: {(eval_insertsort_0.2,5) ;(eval_insertsort_1.3,5) ;(eval_insertsort_2.4,5) ;(eval_insertsort_25.18,5) ;(eval_insertsort_26.19,5) ;(eval_insertsort_3.5,5) ;(eval_insertsort_4.6,5) ;(eval_insertsort_5.7,5) ;(eval_insertsort_6.8,5) ;(eval_insertsort_bb0_in.1,5) ;(eval_insertsort_bb1_in.10,5) ;(eval_insertsort_bb1_in.9,5) ;(eval_insertsort_bb2_in.11,5) ;(eval_insertsort_bb3_in.12,5) ;(eval_insertsort_bb3_in.13,5) ;(eval_insertsort_bb4_in.14,5) ;(eval_insertsort_bb4_in.15,5) ;(eval_insertsort_bb5_in.16,5) ;(eval_insertsort_bb6_in.17,5) ;(eval_insertsort_bb7_in.20,5) ;(eval_insertsort_start.0,5) ;(eval_insertsort_stop.21,5) ;(exitus616,5)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8,9},8->{10},9->{11},10->{12},11->{24},12->{13,14} ,13->{16},14->{17},15->{20},16->{18,19},17->{20},18->{13,14},19->{15},20->{21},21->{22,23},22->{10},23->{11} ,24->{25,26}] ,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:[10,22,21,20,15,19,16,13,12,18,17,14] c: [10,12,14,15,17,19,20,21,22] | `- p:[13,18,16] c: [13,16,18]) + Applied Processor: AbstractSize Minimize + Details: () * Step 7: AbstractFlow WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [v_20,v_3,v_i_0,v_j_0,v_length,0.0,0.0.0] eval_insertsort_start.0 ~> eval_insertsort_bb0_in.1 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_bb0_in.1 ~> eval_insertsort_0.2 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_0.2 ~> eval_insertsort_1.3 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_1.3 ~> eval_insertsort_2.4 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_2.4 ~> eval_insertsort_3.5 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_3.5 ~> eval_insertsort_4.6 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_4.6 ~> eval_insertsort_5.7 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_5.7 ~> eval_insertsort_6.8 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_6.8 ~> eval_insertsort_bb1_in.9 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= K, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_6.8 ~> eval_insertsort_bb1_in.10 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= K, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_bb1_in.9 ~> eval_insertsort_bb2_in.11 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_bb1_in.10 ~> eval_insertsort_bb7_in.20 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_bb2_in.11 ~> eval_insertsort_bb3_in.12 [v_20 <= v_20, v_3 <= unknown, v_i_0 <= v_i_0, v_j_0 <= v_length, v_length <= v_length] eval_insertsort_bb3_in.12 ~> eval_insertsort_bb4_in.14 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_bb3_in.12 ~> eval_insertsort_bb4_in.15 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_bb3_in.13 ~> eval_insertsort_bb6_in.17 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_bb4_in.14 ~> eval_insertsort_bb5_in.16 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_bb4_in.15 ~> eval_insertsort_bb6_in.17 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_bb5_in.16 ~> eval_insertsort_bb3_in.12 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_length, v_length <= v_length] eval_insertsort_bb5_in.16 ~> eval_insertsort_bb3_in.13 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_length, v_length <= v_length] eval_insertsort_bb6_in.17 ~> eval_insertsort_25.18 [v_20 <= v_length, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_25.18 ~> eval_insertsort_26.19 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_26.19 ~> eval_insertsort_bb1_in.9 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_20, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_26.19 ~> eval_insertsort_bb1_in.10 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_20, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_bb7_in.20 ~> eval_insertsort_stop.21 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_stop.21 ~> exitus616 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_stop.21 ~> exitus616 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_length <= v_length] + Loop: [0.0 <= K + v_i_0 + v_length] eval_insertsort_bb1_in.9 ~> eval_insertsort_bb2_in.11 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_26.19 ~> eval_insertsort_bb1_in.9 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_20, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_25.18 ~> eval_insertsort_26.19 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_bb6_in.17 ~> eval_insertsort_25.18 [v_20 <= v_length, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_bb3_in.13 ~> eval_insertsort_bb6_in.17 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_bb5_in.16 ~> eval_insertsort_bb3_in.13 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_length, v_length <= v_length] eval_insertsort_bb4_in.14 ~> eval_insertsort_bb5_in.16 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_bb3_in.12 ~> eval_insertsort_bb4_in.14 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_bb2_in.11 ~> eval_insertsort_bb3_in.12 [v_20 <= v_20, v_3 <= unknown, v_i_0 <= v_i_0, v_j_0 <= v_length, v_length <= v_length] eval_insertsort_bb5_in.16 ~> eval_insertsort_bb3_in.12 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_length, v_length <= v_length] eval_insertsort_bb4_in.15 ~> eval_insertsort_bb6_in.17 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_bb3_in.12 ~> eval_insertsort_bb4_in.15 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_length <= v_length] + Loop: [0.0.0 <= v_j_0] eval_insertsort_bb3_in.12 ~> eval_insertsort_bb4_in.14 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_length <= v_length] eval_insertsort_bb5_in.16 ~> eval_insertsort_bb3_in.12 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_length, v_length <= v_length] eval_insertsort_bb4_in.14 ~> eval_insertsort_bb5_in.16 [v_20 <= v_20, v_3 <= v_3, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_length <= v_length] + Applied Processor: AbstractFlow + Details: () * Step 8: Lare WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [tick,huge,K,v_20,v_3,v_i_0,v_j_0,v_length,0.0,0.0.0] eval_insertsort_start.0 ~> eval_insertsort_bb0_in.1 [] eval_insertsort_bb0_in.1 ~> eval_insertsort_0.2 [] eval_insertsort_0.2 ~> eval_insertsort_1.3 [] eval_insertsort_1.3 ~> eval_insertsort_2.4 [] eval_insertsort_2.4 ~> eval_insertsort_3.5 [] eval_insertsort_3.5 ~> eval_insertsort_4.6 [] eval_insertsort_4.6 ~> eval_insertsort_5.7 [] eval_insertsort_5.7 ~> eval_insertsort_6.8 [] eval_insertsort_6.8 ~> eval_insertsort_bb1_in.9 [K ~=> v_i_0] eval_insertsort_6.8 ~> eval_insertsort_bb1_in.10 [K ~=> v_i_0] eval_insertsort_bb1_in.9 ~> eval_insertsort_bb2_in.11 [] eval_insertsort_bb1_in.10 ~> eval_insertsort_bb7_in.20 [] eval_insertsort_bb2_in.11 ~> eval_insertsort_bb3_in.12 [v_length ~=> v_j_0,huge ~=> v_3] eval_insertsort_bb3_in.12 ~> eval_insertsort_bb4_in.14 [] eval_insertsort_bb3_in.12 ~> eval_insertsort_bb4_in.15 [] eval_insertsort_bb3_in.13 ~> eval_insertsort_bb6_in.17 [] eval_insertsort_bb4_in.14 ~> eval_insertsort_bb5_in.16 [] eval_insertsort_bb4_in.15 ~> eval_insertsort_bb6_in.17 [] eval_insertsort_bb5_in.16 ~> eval_insertsort_bb3_in.12 [v_length ~=> v_j_0] eval_insertsort_bb5_in.16 ~> eval_insertsort_bb3_in.13 [v_length ~=> v_j_0] eval_insertsort_bb6_in.17 ~> eval_insertsort_25.18 [v_length ~=> v_20] eval_insertsort_25.18 ~> eval_insertsort_26.19 [] eval_insertsort_26.19 ~> eval_insertsort_bb1_in.9 [v_20 ~=> v_i_0] eval_insertsort_26.19 ~> eval_insertsort_bb1_in.10 [v_20 ~=> v_i_0] eval_insertsort_bb7_in.20 ~> eval_insertsort_stop.21 [] eval_insertsort_stop.21 ~> exitus616 [] eval_insertsort_stop.21 ~> exitus616 [] + Loop: [v_i_0 ~+> 0.0,v_length ~+> 0.0,K ~+> 0.0] eval_insertsort_bb1_in.9 ~> eval_insertsort_bb2_in.11 [] eval_insertsort_26.19 ~> eval_insertsort_bb1_in.9 [v_20 ~=> v_i_0] eval_insertsort_25.18 ~> eval_insertsort_26.19 [] eval_insertsort_bb6_in.17 ~> eval_insertsort_25.18 [v_length ~=> v_20] eval_insertsort_bb3_in.13 ~> eval_insertsort_bb6_in.17 [] eval_insertsort_bb5_in.16 ~> eval_insertsort_bb3_in.13 [v_length ~=> v_j_0] eval_insertsort_bb4_in.14 ~> eval_insertsort_bb5_in.16 [] eval_insertsort_bb3_in.12 ~> eval_insertsort_bb4_in.14 [] eval_insertsort_bb2_in.11 ~> eval_insertsort_bb3_in.12 [v_length ~=> v_j_0,huge ~=> v_3] eval_insertsort_bb5_in.16 ~> eval_insertsort_bb3_in.12 [v_length ~=> v_j_0] eval_insertsort_bb4_in.15 ~> eval_insertsort_bb6_in.17 [] eval_insertsort_bb3_in.12 ~> eval_insertsort_bb4_in.15 [] + Loop: [v_j_0 ~=> 0.0.0] eval_insertsort_bb3_in.12 ~> eval_insertsort_bb4_in.14 [] eval_insertsort_bb5_in.16 ~> eval_insertsort_bb3_in.12 [v_length ~=> v_j_0] eval_insertsort_bb4_in.14 ~> eval_insertsort_bb5_in.16 [] + Applied Processor: Lare + Details: eval_insertsort_start.0 ~> exitus616 [v_20 ~=> v_i_0 ,v_length ~=> v_20 ,v_length ~=> v_i_0 ,v_length ~=> v_j_0 ,v_length ~=> 0.0.0 ,K ~=> v_i_0 ,huge ~=> v_3 ,v_length ~+> 0.0 ,v_length ~+> tick ,tick ~+> tick ,K ~+> 0.0 ,K ~+> tick ,v_length ~*> tick ,K ~*> 0.0 ,K ~*> tick] + eval_insertsort_26.19> [v_20 ~=> v_i_0 ,v_length ~=> v_20 ,v_length ~=> v_i_0 ,v_length ~=> v_j_0 ,v_length ~=> 0.0.0 ,huge ~=> v_3 ,v_i_0 ~+> 0.0 ,v_i_0 ~+> tick ,v_length ~+> 0.0 ,v_length ~+> tick ,tick ~+> tick ,K ~+> 0.0 ,K ~+> tick ,v_i_0 ~*> tick ,v_length ~*> tick ,K ~*> tick] + eval_insertsort_bb3_in.12> [v_j_0 ~=> 0.0.0 ,v_length ~=> v_j_0 ,v_j_0 ~+> tick ,tick ~+> tick] eval_insertsort_bb5_in.16> [v_j_0 ~=> 0.0.0 ,v_length ~=> v_j_0 ,v_j_0 ~+> tick ,tick ~+> tick] YES(?,POLY)