YES(?,O(n^1)) * Step 1: UnsatPaths WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. eval_wise_start(v__0,v__01,v_x,v_y) -> eval_wise_bb0_in(v__0,v__01,v_x,v_y) True (1,1) 1. eval_wise_bb0_in(v__0,v__01,v_x,v_y) -> eval_wise_0(v__0,v__01,v_x,v_y) True (?,1) 2. eval_wise_0(v__0,v__01,v_x,v_y) -> eval_wise_1(v__0,v__01,v_x,v_y) True (?,1) 3. eval_wise_1(v__0,v__01,v_x,v_y) -> eval_wise_2(v__0,v__01,v_x,v_y) True (?,1) 4. eval_wise_2(v__0,v__01,v_x,v_y) -> eval_wise_bb2_in(v__0,v__01,v_x,v_y) [-1 >= v_x] (?,1) 5. eval_wise_2(v__0,v__01,v_x,v_y) -> eval_wise_bb2_in(v__0,v__01,v_x,v_y) [-1 >= v_y] (?,1) 6. eval_wise_2(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in(v_x,v_y,v_x,v_y) [v_x >= 0 && v_y >= 0] (?,1) 7. eval_wise_bb1_in(v__0,v__01,v_x,v_y) -> eval_wise__critedge_in(v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 (?,1) && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && v__0 + v__01 >= 0 && v__0 >= 0 && -1 + v__0 + -1*v__01 >= 2] 8. eval_wise_bb1_in(v__0,v__01,v_x,v_y) -> eval_wise__critedge_in(v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 (?,1) && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && v__0 + v__01 >= 0 && v__0 >= 0 && -1 + -1*v__0 + v__01 >= 2] 9. eval_wise_bb1_in(v__0,v__01,v_x,v_y) -> eval_wise_bb2_in(v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 (?,1) && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && v__0 + v__01 >= 0 && v__0 >= 0 && 2 >= v__0 + -1*v__01 && 2 >= -1*v__0 + v__01] 10. eval_wise__critedge_in(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in(1 + v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 (?,1) && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && -3 + v__0 + v__01 >= 0 && v__0 >= 0 && -1 + v__01 >= v__0] 11. eval_wise__critedge_in(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in(v__0,1 + v__01,v_x,v_y) [v__01 + -1*v_y >= 0 (?,1) && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && -3 + v__0 + v__01 >= 0 && v__0 >= 0 && v__0 >= v__01] 12. eval_wise_bb2_in(v__0,v__01,v_x,v_y) -> eval_wise_stop(v__0,v__01,v_x,v_y) True (?,1) Signature: {(eval_wise_0,4) ;(eval_wise_1,4) ;(eval_wise_2,4) ;(eval_wise__critedge_in,4) ;(eval_wise_bb0_in,4) ;(eval_wise_bb1_in,4) ;(eval_wise_bb2_in,4) ;(eval_wise_start,4) ;(eval_wise_stop,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4,5,6},4->{12},5->{12},6->{7,8,9},7->{10,11},8->{10,11},9->{12},10->{7,8,9} ,11->{7,8,9},12->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(7,10),(8,11),(10,7),(11,8)] * Step 2: FromIts WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. eval_wise_start(v__0,v__01,v_x,v_y) -> eval_wise_bb0_in(v__0,v__01,v_x,v_y) True (1,1) 1. eval_wise_bb0_in(v__0,v__01,v_x,v_y) -> eval_wise_0(v__0,v__01,v_x,v_y) True (?,1) 2. eval_wise_0(v__0,v__01,v_x,v_y) -> eval_wise_1(v__0,v__01,v_x,v_y) True (?,1) 3. eval_wise_1(v__0,v__01,v_x,v_y) -> eval_wise_2(v__0,v__01,v_x,v_y) True (?,1) 4. eval_wise_2(v__0,v__01,v_x,v_y) -> eval_wise_bb2_in(v__0,v__01,v_x,v_y) [-1 >= v_x] (?,1) 5. eval_wise_2(v__0,v__01,v_x,v_y) -> eval_wise_bb2_in(v__0,v__01,v_x,v_y) [-1 >= v_y] (?,1) 6. eval_wise_2(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in(v_x,v_y,v_x,v_y) [v_x >= 0 && v_y >= 0] (?,1) 7. eval_wise_bb1_in(v__0,v__01,v_x,v_y) -> eval_wise__critedge_in(v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 (?,1) && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && v__0 + v__01 >= 0 && v__0 >= 0 && -1 + v__0 + -1*v__01 >= 2] 8. eval_wise_bb1_in(v__0,v__01,v_x,v_y) -> eval_wise__critedge_in(v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 (?,1) && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && v__0 + v__01 >= 0 && v__0 >= 0 && -1 + -1*v__0 + v__01 >= 2] 9. eval_wise_bb1_in(v__0,v__01,v_x,v_y) -> eval_wise_bb2_in(v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 (?,1) && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && v__0 + v__01 >= 0 && v__0 >= 0 && 2 >= v__0 + -1*v__01 && 2 >= -1*v__0 + v__01] 10. eval_wise__critedge_in(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in(1 + v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 (?,1) && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && -3 + v__0 + v__01 >= 0 && v__0 >= 0 && -1 + v__01 >= v__0] 11. eval_wise__critedge_in(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in(v__0,1 + v__01,v_x,v_y) [v__01 + -1*v_y >= 0 (?,1) && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && -3 + v__0 + v__01 >= 0 && v__0 >= 0 && v__0 >= v__01] 12. eval_wise_bb2_in(v__0,v__01,v_x,v_y) -> eval_wise_stop(v__0,v__01,v_x,v_y) True (?,1) Signature: {(eval_wise_0,4) ;(eval_wise_1,4) ;(eval_wise_2,4) ;(eval_wise__critedge_in,4) ;(eval_wise_bb0_in,4) ;(eval_wise_bb1_in,4) ;(eval_wise_bb2_in,4) ;(eval_wise_start,4) ;(eval_wise_stop,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4,5,6},4->{12},5->{12},6->{7,8,9},7->{11},8->{10},9->{12},10->{8,9},11->{7,9} ,12->{}] + Applied Processor: FromIts + Details: () * Step 3: AddSinks WORST_CASE(?,O(n^1)) + Considered Problem: Rules: eval_wise_start(v__0,v__01,v_x,v_y) -> eval_wise_bb0_in(v__0,v__01,v_x,v_y) True eval_wise_bb0_in(v__0,v__01,v_x,v_y) -> eval_wise_0(v__0,v__01,v_x,v_y) True eval_wise_0(v__0,v__01,v_x,v_y) -> eval_wise_1(v__0,v__01,v_x,v_y) True eval_wise_1(v__0,v__01,v_x,v_y) -> eval_wise_2(v__0,v__01,v_x,v_y) True eval_wise_2(v__0,v__01,v_x,v_y) -> eval_wise_bb2_in(v__0,v__01,v_x,v_y) [-1 >= v_x] eval_wise_2(v__0,v__01,v_x,v_y) -> eval_wise_bb2_in(v__0,v__01,v_x,v_y) [-1 >= v_y] eval_wise_2(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in(v_x,v_y,v_x,v_y) [v_x >= 0 && v_y >= 0] eval_wise_bb1_in(v__0,v__01,v_x,v_y) -> eval_wise__critedge_in(v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && v__0 + v__01 >= 0 && v__0 >= 0 && -1 + v__0 + -1*v__01 >= 2] eval_wise_bb1_in(v__0,v__01,v_x,v_y) -> eval_wise__critedge_in(v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && v__0 + v__01 >= 0 && v__0 >= 0 && -1 + -1*v__0 + v__01 >= 2] eval_wise_bb1_in(v__0,v__01,v_x,v_y) -> eval_wise_bb2_in(v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && v__0 + v__01 >= 0 && v__0 >= 0 && 2 >= v__0 + -1*v__01 && 2 >= -1*v__0 + v__01] eval_wise__critedge_in(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in(1 + v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && -3 + v__0 + v__01 >= 0 && v__0 >= 0 && -1 + v__01 >= v__0] eval_wise__critedge_in(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in(v__0,1 + v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && -3 + v__0 + v__01 >= 0 && v__0 >= 0 && v__0 >= v__01] eval_wise_bb2_in(v__0,v__01,v_x,v_y) -> eval_wise_stop(v__0,v__01,v_x,v_y) True Signature: {(eval_wise_0,4) ;(eval_wise_1,4) ;(eval_wise_2,4) ;(eval_wise__critedge_in,4) ;(eval_wise_bb0_in,4) ;(eval_wise_bb1_in,4) ;(eval_wise_bb2_in,4) ;(eval_wise_start,4) ;(eval_wise_stop,4)} Rule Graph: [0->{1},1->{2},2->{3},3->{4,5,6},4->{12},5->{12},6->{7,8,9},7->{11},8->{10},9->{12},10->{8,9},11->{7,9} ,12->{}] + Applied Processor: AddSinks + Details: () * Step 4: Unfold WORST_CASE(?,O(n^1)) + Considered Problem: Rules: eval_wise_start(v__0,v__01,v_x,v_y) -> eval_wise_bb0_in(v__0,v__01,v_x,v_y) True eval_wise_bb0_in(v__0,v__01,v_x,v_y) -> eval_wise_0(v__0,v__01,v_x,v_y) True eval_wise_0(v__0,v__01,v_x,v_y) -> eval_wise_1(v__0,v__01,v_x,v_y) True eval_wise_1(v__0,v__01,v_x,v_y) -> eval_wise_2(v__0,v__01,v_x,v_y) True eval_wise_2(v__0,v__01,v_x,v_y) -> eval_wise_bb2_in(v__0,v__01,v_x,v_y) [-1 >= v_x] eval_wise_2(v__0,v__01,v_x,v_y) -> eval_wise_bb2_in(v__0,v__01,v_x,v_y) [-1 >= v_y] eval_wise_2(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in(v_x,v_y,v_x,v_y) [v_x >= 0 && v_y >= 0] eval_wise_bb1_in(v__0,v__01,v_x,v_y) -> eval_wise__critedge_in(v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && v__0 + v__01 >= 0 && v__0 >= 0 && -1 + v__0 + -1*v__01 >= 2] eval_wise_bb1_in(v__0,v__01,v_x,v_y) -> eval_wise__critedge_in(v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && v__0 + v__01 >= 0 && v__0 >= 0 && -1 + -1*v__0 + v__01 >= 2] eval_wise_bb1_in(v__0,v__01,v_x,v_y) -> eval_wise_bb2_in(v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && v__0 + v__01 >= 0 && v__0 >= 0 && 2 >= v__0 + -1*v__01 && 2 >= -1*v__0 + v__01] eval_wise__critedge_in(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in(1 + v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && -3 + v__0 + v__01 >= 0 && v__0 >= 0 && -1 + v__01 >= v__0] eval_wise__critedge_in(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in(v__0,1 + v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && -3 + v__0 + v__01 >= 0 && v__0 >= 0 && v__0 >= v__01] eval_wise_bb2_in(v__0,v__01,v_x,v_y) -> eval_wise_stop(v__0,v__01,v_x,v_y) True eval_wise_stop(v__0,v__01,v_x,v_y) -> exitus616(v__0,v__01,v_x,v_y) True eval_wise_stop(v__0,v__01,v_x,v_y) -> exitus616(v__0,v__01,v_x,v_y) True eval_wise_stop(v__0,v__01,v_x,v_y) -> exitus616(v__0,v__01,v_x,v_y) True eval_wise_stop(v__0,v__01,v_x,v_y) -> exitus616(v__0,v__01,v_x,v_y) True Signature: {(eval_wise_0,4) ;(eval_wise_1,4) ;(eval_wise_2,4) ;(eval_wise__critedge_in,4) ;(eval_wise_bb0_in,4) ;(eval_wise_bb1_in,4) ;(eval_wise_bb2_in,4) ;(eval_wise_start,4) ;(eval_wise_stop,4) ;(exitus616,4)} Rule Graph: [0->{1},1->{2},2->{3},3->{4,5,6},4->{12},5->{12},6->{7,8,9},7->{11},8->{10},9->{12},10->{8,9},11->{7,9} ,12->{13,14,15,16}] + Applied Processor: Unfold + Details: () * Step 5: Decompose WORST_CASE(?,O(n^1)) + Considered Problem: Rules: eval_wise_start.0(v__0,v__01,v_x,v_y) -> eval_wise_bb0_in.1(v__0,v__01,v_x,v_y) True eval_wise_bb0_in.1(v__0,v__01,v_x,v_y) -> eval_wise_0.2(v__0,v__01,v_x,v_y) True eval_wise_0.2(v__0,v__01,v_x,v_y) -> eval_wise_1.3(v__0,v__01,v_x,v_y) True eval_wise_1.3(v__0,v__01,v_x,v_y) -> eval_wise_2.4(v__0,v__01,v_x,v_y) True eval_wise_1.3(v__0,v__01,v_x,v_y) -> eval_wise_2.5(v__0,v__01,v_x,v_y) True eval_wise_1.3(v__0,v__01,v_x,v_y) -> eval_wise_2.6(v__0,v__01,v_x,v_y) True eval_wise_2.4(v__0,v__01,v_x,v_y) -> eval_wise_bb2_in.12(v__0,v__01,v_x,v_y) [-1 >= v_x] eval_wise_2.5(v__0,v__01,v_x,v_y) -> eval_wise_bb2_in.12(v__0,v__01,v_x,v_y) [-1 >= v_y] eval_wise_2.6(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in.7(v_x,v_y,v_x,v_y) [v_x >= 0 && v_y >= 0] eval_wise_2.6(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in.8(v_x,v_y,v_x,v_y) [v_x >= 0 && v_y >= 0] eval_wise_2.6(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in.9(v_x,v_y,v_x,v_y) [v_x >= 0 && v_y >= 0] eval_wise_bb1_in.7(v__0,v__01,v_x,v_y) -> eval_wise__critedge_in.11(v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && v__0 + v__01 >= 0 && v__0 >= 0 && -1 + v__0 + -1*v__01 >= 2] eval_wise_bb1_in.8(v__0,v__01,v_x,v_y) -> eval_wise__critedge_in.10(v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && v__0 + v__01 >= 0 && v__0 >= 0 && -1 + -1*v__0 + v__01 >= 2] eval_wise_bb1_in.9(v__0,v__01,v_x,v_y) -> eval_wise_bb2_in.12(v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && v__0 + v__01 >= 0 && v__0 >= 0 && 2 >= v__0 + -1*v__01 && 2 >= -1*v__0 + v__01] eval_wise__critedge_in.10(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in.8(1 + v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && -3 + v__0 + v__01 >= 0 && v__0 >= 0 && -1 + v__01 >= v__0] eval_wise__critedge_in.10(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in.9(1 + v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && -3 + v__0 + v__01 >= 0 && v__0 >= 0 && -1 + v__01 >= v__0] eval_wise__critedge_in.11(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in.7(v__0,1 + v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && -3 + v__0 + v__01 >= 0 && v__0 >= 0 && v__0 >= v__01] eval_wise__critedge_in.11(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in.9(v__0,1 + v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && -3 + v__0 + v__01 >= 0 && v__0 >= 0 && v__0 >= v__01] eval_wise_bb2_in.12(v__0,v__01,v_x,v_y) -> eval_wise_stop.13(v__0,v__01,v_x,v_y) True eval_wise_bb2_in.12(v__0,v__01,v_x,v_y) -> eval_wise_stop.14(v__0,v__01,v_x,v_y) True eval_wise_bb2_in.12(v__0,v__01,v_x,v_y) -> eval_wise_stop.15(v__0,v__01,v_x,v_y) True eval_wise_bb2_in.12(v__0,v__01,v_x,v_y) -> eval_wise_stop.16(v__0,v__01,v_x,v_y) True eval_wise_stop.13(v__0,v__01,v_x,v_y) -> exitus616.17(v__0,v__01,v_x,v_y) True eval_wise_stop.14(v__0,v__01,v_x,v_y) -> exitus616.17(v__0,v__01,v_x,v_y) True eval_wise_stop.15(v__0,v__01,v_x,v_y) -> exitus616.17(v__0,v__01,v_x,v_y) True eval_wise_stop.16(v__0,v__01,v_x,v_y) -> exitus616.17(v__0,v__01,v_x,v_y) True Signature: {(eval_wise_0.2,4) ;(eval_wise_1.3,4) ;(eval_wise_2.4,4) ;(eval_wise_2.5,4) ;(eval_wise_2.6,4) ;(eval_wise__critedge_in.10,4) ;(eval_wise__critedge_in.11,4) ;(eval_wise_bb0_in.1,4) ;(eval_wise_bb1_in.7,4) ;(eval_wise_bb1_in.8,4) ;(eval_wise_bb1_in.9,4) ;(eval_wise_bb2_in.12,4) ;(eval_wise_start.0,4) ;(eval_wise_stop.13,4) ;(eval_wise_stop.14,4) ;(eval_wise_stop.15,4) ;(eval_wise_stop.16,4) ;(exitus616.17,4)} Rule Graph: [0->{1},1->{2},2->{3,4,5},3->{6},4->{7},5->{8,9,10},6->{18,19,20,21},7->{18,19,20,21},8->{11},9->{12} ,10->{13},11->{16,17},12->{14,15},13->{18,19,20,21},14->{12},15->{13},16->{11},17->{13},18->{22},19->{23} ,20->{24},21->{25},22->{},23->{},24->{},25->{}] + 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] | +- p:[12,14] c: [12,14] | `- p:[11,16] c: [11,16] * Step 6: AbstractSize WORST_CASE(?,O(n^1)) + Considered Problem: (Rules: eval_wise_start.0(v__0,v__01,v_x,v_y) -> eval_wise_bb0_in.1(v__0,v__01,v_x,v_y) True eval_wise_bb0_in.1(v__0,v__01,v_x,v_y) -> eval_wise_0.2(v__0,v__01,v_x,v_y) True eval_wise_0.2(v__0,v__01,v_x,v_y) -> eval_wise_1.3(v__0,v__01,v_x,v_y) True eval_wise_1.3(v__0,v__01,v_x,v_y) -> eval_wise_2.4(v__0,v__01,v_x,v_y) True eval_wise_1.3(v__0,v__01,v_x,v_y) -> eval_wise_2.5(v__0,v__01,v_x,v_y) True eval_wise_1.3(v__0,v__01,v_x,v_y) -> eval_wise_2.6(v__0,v__01,v_x,v_y) True eval_wise_2.4(v__0,v__01,v_x,v_y) -> eval_wise_bb2_in.12(v__0,v__01,v_x,v_y) [-1 >= v_x] eval_wise_2.5(v__0,v__01,v_x,v_y) -> eval_wise_bb2_in.12(v__0,v__01,v_x,v_y) [-1 >= v_y] eval_wise_2.6(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in.7(v_x,v_y,v_x,v_y) [v_x >= 0 && v_y >= 0] eval_wise_2.6(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in.8(v_x,v_y,v_x,v_y) [v_x >= 0 && v_y >= 0] eval_wise_2.6(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in.9(v_x,v_y,v_x,v_y) [v_x >= 0 && v_y >= 0] eval_wise_bb1_in.7(v__0,v__01,v_x,v_y) -> eval_wise__critedge_in.11(v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && v__0 + v__01 >= 0 && v__0 >= 0 && -1 + v__0 + -1*v__01 >= 2] eval_wise_bb1_in.8(v__0,v__01,v_x,v_y) -> eval_wise__critedge_in.10(v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && v__0 + v__01 >= 0 && v__0 >= 0 && -1 + -1*v__0 + v__01 >= 2] eval_wise_bb1_in.9(v__0,v__01,v_x,v_y) -> eval_wise_bb2_in.12(v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && v__0 + v__01 >= 0 && v__0 >= 0 && 2 >= v__0 + -1*v__01 && 2 >= -1*v__0 + v__01] eval_wise__critedge_in.10(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in.8(1 + v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && -3 + v__0 + v__01 >= 0 && v__0 >= 0 && -1 + v__01 >= v__0] eval_wise__critedge_in.10(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in.9(1 + v__0,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && -3 + v__0 + v__01 >= 0 && v__0 >= 0 && -1 + v__01 >= v__0] eval_wise__critedge_in.11(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in.7(v__0,1 + v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && -3 + v__0 + v__01 >= 0 && v__0 >= 0 && v__0 >= v__01] eval_wise__critedge_in.11(v__0,v__01,v_x,v_y) -> eval_wise_bb1_in.9(v__0,1 + v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v_y >= 0 && v_x + v_y >= 0 && v__01 + v_y >= 0 && v__0 + v_y >= 0 && v__0 + -1*v_x >= 0 && v_x >= 0 && v__01 + v_x >= 0 && v__0 + v_x >= 0 && v__01 >= 0 && -3 + v__0 + v__01 >= 0 && v__0 >= 0 && v__0 >= v__01] eval_wise_bb2_in.12(v__0,v__01,v_x,v_y) -> eval_wise_stop.13(v__0,v__01,v_x,v_y) True eval_wise_bb2_in.12(v__0,v__01,v_x,v_y) -> eval_wise_stop.14(v__0,v__01,v_x,v_y) True eval_wise_bb2_in.12(v__0,v__01,v_x,v_y) -> eval_wise_stop.15(v__0,v__01,v_x,v_y) True eval_wise_bb2_in.12(v__0,v__01,v_x,v_y) -> eval_wise_stop.16(v__0,v__01,v_x,v_y) True eval_wise_stop.13(v__0,v__01,v_x,v_y) -> exitus616.17(v__0,v__01,v_x,v_y) True eval_wise_stop.14(v__0,v__01,v_x,v_y) -> exitus616.17(v__0,v__01,v_x,v_y) True eval_wise_stop.15(v__0,v__01,v_x,v_y) -> exitus616.17(v__0,v__01,v_x,v_y) True eval_wise_stop.16(v__0,v__01,v_x,v_y) -> exitus616.17(v__0,v__01,v_x,v_y) True Signature: {(eval_wise_0.2,4) ;(eval_wise_1.3,4) ;(eval_wise_2.4,4) ;(eval_wise_2.5,4) ;(eval_wise_2.6,4) ;(eval_wise__critedge_in.10,4) ;(eval_wise__critedge_in.11,4) ;(eval_wise_bb0_in.1,4) ;(eval_wise_bb1_in.7,4) ;(eval_wise_bb1_in.8,4) ;(eval_wise_bb1_in.9,4) ;(eval_wise_bb2_in.12,4) ;(eval_wise_start.0,4) ;(eval_wise_stop.13,4) ;(eval_wise_stop.14,4) ;(eval_wise_stop.15,4) ;(eval_wise_stop.16,4) ;(exitus616.17,4)} Rule Graph: [0->{1},1->{2},2->{3,4,5},3->{6},4->{7},5->{8,9,10},6->{18,19,20,21},7->{18,19,20,21},8->{11},9->{12} ,10->{13},11->{16,17},12->{14,15},13->{18,19,20,21},14->{12},15->{13},16->{11},17->{13},18->{22},19->{23} ,20->{24},21->{25},22->{},23->{},24->{},25->{}] ,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] | +- p:[12,14] c: [12,14] | `- p:[11,16] c: [11,16]) + Applied Processor: AbstractSize Minimize + Details: () * Step 7: AbstractFlow WORST_CASE(?,O(n^1)) + Considered Problem: Program: Domain: [v__0,v__01,v_x,v_y,0.0,0.1] eval_wise_start.0 ~> eval_wise_bb0_in.1 [v__0 <= v__0, v__01 <= v__01, v_x <= v_x, v_y <= v_y] eval_wise_bb0_in.1 ~> eval_wise_0.2 [v__0 <= v__0, v__01 <= v__01, v_x <= v_x, v_y <= v_y] eval_wise_0.2 ~> eval_wise_1.3 [v__0 <= v__0, v__01 <= v__01, v_x <= v_x, v_y <= v_y] eval_wise_1.3 ~> eval_wise_2.4 [v__0 <= v__0, v__01 <= v__01, v_x <= v_x, v_y <= v_y] eval_wise_1.3 ~> eval_wise_2.5 [v__0 <= v__0, v__01 <= v__01, v_x <= v_x, v_y <= v_y] eval_wise_1.3 ~> eval_wise_2.6 [v__0 <= v__0, v__01 <= v__01, v_x <= v_x, v_y <= v_y] eval_wise_2.4 ~> eval_wise_bb2_in.12 [v__0 <= v__0, v__01 <= v__01, v_x <= v_x, v_y <= v_y] eval_wise_2.5 ~> eval_wise_bb2_in.12 [v__0 <= v__0, v__01 <= v__01, v_x <= v_x, v_y <= v_y] eval_wise_2.6 ~> eval_wise_bb1_in.7 [v__0 <= v_x, v__01 <= v_y, v_x <= v_x, v_y <= v_y] eval_wise_2.6 ~> eval_wise_bb1_in.8 [v__0 <= v_x, v__01 <= v_y, v_x <= v_x, v_y <= v_y] eval_wise_2.6 ~> eval_wise_bb1_in.9 [v__0 <= v_x, v__01 <= v_y, v_x <= v_x, v_y <= v_y] eval_wise_bb1_in.7 ~> eval_wise__critedge_in.11 [v__0 <= v__0, v__01 <= v__01, v_x <= v_x, v_y <= v_y] eval_wise_bb1_in.8 ~> eval_wise__critedge_in.10 [v__0 <= v__0, v__01 <= v__01, v_x <= v_x, v_y <= v_y] eval_wise_bb1_in.9 ~> eval_wise_bb2_in.12 [v__0 <= v__0, v__01 <= v__01, v_x <= v_x, v_y <= v_y] eval_wise__critedge_in.10 ~> eval_wise_bb1_in.8 [v__0 <= v__01, v__01 <= v__01, v_x <= v_x, v_y <= v_y] eval_wise__critedge_in.10 ~> eval_wise_bb1_in.9 [v__0 <= v__01, v__01 <= v__01, v_x <= v_x, v_y <= v_y] eval_wise__critedge_in.11 ~> eval_wise_bb1_in.7 [v__0 <= v__0, v__01 <= K + v__0, v_x <= v_x, v_y <= v_y] eval_wise__critedge_in.11 ~> eval_wise_bb1_in.9 [v__0 <= v__0, v__01 <= K + v__0, v_x <= v_x, v_y <= v_y] eval_wise_bb2_in.12 ~> eval_wise_stop.13 [v__0 <= v__0, v__01 <= v__01, v_x <= v_x, v_y <= v_y] eval_wise_bb2_in.12 ~> eval_wise_stop.14 [v__0 <= v__0, v__01 <= v__01, v_x <= v_x, v_y <= v_y] eval_wise_bb2_in.12 ~> eval_wise_stop.15 [v__0 <= v__0, v__01 <= v__01, v_x <= v_x, v_y <= v_y] eval_wise_bb2_in.12 ~> eval_wise_stop.16 [v__0 <= v__0, v__01 <= v__01, v_x <= v_x, v_y <= v_y] eval_wise_stop.13 ~> exitus616.17 [v__0 <= v__0, v__01 <= v__01, v_x <= v_x, v_y <= v_y] eval_wise_stop.14 ~> exitus616.17 [v__0 <= v__0, v__01 <= v__01, v_x <= v_x, v_y <= v_y] eval_wise_stop.15 ~> exitus616.17 [v__0 <= v__0, v__01 <= v__01, v_x <= v_x, v_y <= v_y] eval_wise_stop.16 ~> exitus616.17 [v__0 <= v__0, v__01 <= v__01, v_x <= v_x, v_y <= v_y] + Loop: [0.0 <= K + v__0 + v__01] eval_wise_bb1_in.8 ~> eval_wise__critedge_in.10 [v__0 <= v__0, v__01 <= v__01, v_x <= v_x, v_y <= v_y] eval_wise__critedge_in.10 ~> eval_wise_bb1_in.8 [v__0 <= v__01, v__01 <= v__01, v_x <= v_x, v_y <= v_y] + Loop: [0.1 <= v__0 + v__01] eval_wise_bb1_in.7 ~> eval_wise__critedge_in.11 [v__0 <= v__0, v__01 <= v__01, v_x <= v_x, v_y <= v_y] eval_wise__critedge_in.11 ~> eval_wise_bb1_in.7 [v__0 <= v__0, v__01 <= K + v__0, v_x <= v_x, v_y <= v_y] + Applied Processor: AbstractFlow + Details: () * Step 8: Lare WORST_CASE(?,O(n^1)) + Considered Problem: Program: Domain: [tick,huge,K,v__0,v__01,v_x,v_y,0.0,0.1] eval_wise_start.0 ~> eval_wise_bb0_in.1 [] eval_wise_bb0_in.1 ~> eval_wise_0.2 [] eval_wise_0.2 ~> eval_wise_1.3 [] eval_wise_1.3 ~> eval_wise_2.4 [] eval_wise_1.3 ~> eval_wise_2.5 [] eval_wise_1.3 ~> eval_wise_2.6 [] eval_wise_2.4 ~> eval_wise_bb2_in.12 [] eval_wise_2.5 ~> eval_wise_bb2_in.12 [] eval_wise_2.6 ~> eval_wise_bb1_in.7 [v_x ~=> v__0,v_y ~=> v__01] eval_wise_2.6 ~> eval_wise_bb1_in.8 [v_x ~=> v__0,v_y ~=> v__01] eval_wise_2.6 ~> eval_wise_bb1_in.9 [v_x ~=> v__0,v_y ~=> v__01] eval_wise_bb1_in.7 ~> eval_wise__critedge_in.11 [] eval_wise_bb1_in.8 ~> eval_wise__critedge_in.10 [] eval_wise_bb1_in.9 ~> eval_wise_bb2_in.12 [] eval_wise__critedge_in.10 ~> eval_wise_bb1_in.8 [v__01 ~=> v__0] eval_wise__critedge_in.10 ~> eval_wise_bb1_in.9 [v__01 ~=> v__0] eval_wise__critedge_in.11 ~> eval_wise_bb1_in.7 [v__0 ~+> v__01,K ~+> v__01] eval_wise__critedge_in.11 ~> eval_wise_bb1_in.9 [v__0 ~+> v__01,K ~+> v__01] eval_wise_bb2_in.12 ~> eval_wise_stop.13 [] eval_wise_bb2_in.12 ~> eval_wise_stop.14 [] eval_wise_bb2_in.12 ~> eval_wise_stop.15 [] eval_wise_bb2_in.12 ~> eval_wise_stop.16 [] eval_wise_stop.13 ~> exitus616.17 [] eval_wise_stop.14 ~> exitus616.17 [] eval_wise_stop.15 ~> exitus616.17 [] eval_wise_stop.16 ~> exitus616.17 [] + Loop: [v__0 ~+> 0.0,v__01 ~+> 0.0,K ~+> 0.0] eval_wise_bb1_in.8 ~> eval_wise__critedge_in.10 [] eval_wise__critedge_in.10 ~> eval_wise_bb1_in.8 [v__01 ~=> v__0] + Loop: [v__0 ~+> 0.1,v__01 ~+> 0.1] eval_wise_bb1_in.7 ~> eval_wise__critedge_in.11 [] eval_wise__critedge_in.11 ~> eval_wise_bb1_in.7 [v__0 ~+> v__01,K ~+> v__01] + Applied Processor: Lare + Details: eval_wise_start.0 ~> exitus616.17 [v_x ~=> v__0 ,v_y ~=> v__0 ,v_y ~=> v__01 ,v_x ~+> v__01 ,v_x ~+> 0.0 ,v_x ~+> 0.1 ,v_x ~+> tick ,v_y ~+> 0.0 ,v_y ~+> 0.1 ,v_y ~+> tick ,tick ~+> tick ,K ~+> v__01 ,K ~+> 0.0 ,K ~+> tick] + eval_wise__critedge_in.10> [v__01 ~=> v__0 ,v__0 ~+> 0.0 ,v__0 ~+> tick ,v__01 ~+> 0.0 ,v__01 ~+> tick ,tick ~+> tick ,K ~+> 0.0 ,K ~+> tick] + eval_wise__critedge_in.11> [v__0 ~+> v__01 ,v__0 ~+> 0.1 ,v__0 ~+> tick ,v__01 ~+> 0.1 ,v__01 ~+> tick ,tick ~+> tick ,K ~+> v__01] YES(?,O(n^1))