YES(?,POLY) * Step 1: FromIts WORST_CASE(?,POLY) + Considered Problem: Rules: 0. eval_start_start(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb0_in(v__0,v__01,v__1,v__12,v_x,v_y) True (1,1) 1. eval_start_bb0_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_0(v__0,v__01,v__1,v__12,v_x,v_y) True (?,1) 2. eval_start_0(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_1(v__0,v__01,v__1,v__12,v_x,v_y) True (?,1) 3. eval_start_1(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_2(v__0,v__01,v__1,v__12,v_x,v_y) True (?,1) 4. eval_start_2(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_3(v__0,v__01,v__1,v__12,v_x,v_y) True (?,1) 5. eval_start_3(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_4(v__0,v__01,v__1,v__12,v_x,v_y) True (?,1) 6. eval_start_4(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_5(v__0,v__01,v__1,v__12,v_x,v_y) True (?,1) 7. eval_start_5(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb1_in(v_x,v_y,v__1,v__12,v_x,v_y) True (?,1) 8. eval_start_bb1_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb2_in(v__0,v__01,v__1,v__12,v_x,v_y) [v__01 + -1*v_y >= 0 && v__0 + -1*v_x >= 0 && -1 + v__0 >= v__01] (?,1) 9. eval_start_bb1_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb3_in(v__0,v__01,v__1,v__01,v_x,v_y) [v__01 + -1*v_y >= 0 && v__0 + -1*v_x >= 0 && v__01 >= v__0] (?,1) 10. eval_start_bb2_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb1_in(999 + v__0,1000 + v__01,v__1,v__12,v_x,v_y) [v__01 + -1*v_y >= 0 && -1 + v__0 + -1*v_y >= 0 && v__0 + -1*v_x >= 0 && -1 + v__0 + -1*v__01 >= 0] (?,1) 11. eval_start_bb3_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb4_in(v__0,v__01,v__1,v__12,v_x,v_y) [v__01 + -1*v_y >= 0 (?,1) && v__01 + -1*v_x >= 0 && v__0 + -1*v_x >= 0 && v__01 + -1*v__12 >= 0 && -1*v__0 + v__01 >= 0 && -1 + v__12 >= 0] 12. eval_start_bb3_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb5_in(v__0,v__01,v__0,v__12,v_x,v_y) [v__01 + -1*v_y >= 0 (?,1) && v__01 + -1*v_x >= 0 && v__0 + -1*v_x >= 0 && v__01 + -1*v__12 >= 0 && -1*v__0 + v__01 >= 0 && 0 >= v__12] 13. eval_start_bb4_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb3_in(v__0,v__01,v__1,-1 + v__12,v_x,v_y) [v__01 + -1*v_y >= 0 (?,1) && v__01 + -1*v_x >= 0 && v__0 + -1*v_x >= 0 && v__01 + -1*v__12 >= 0 && -1 + v__12 >= 0 && -2 + v__01 + v__12 >= 0 && -1 + v__01 >= 0 && -1*v__0 + v__01 >= 0] 14. eval_start_bb5_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb6_in(v__0,v__01,v__1,v__12,v_x,v_y) [v__01 + -1*v_y >= 0 (?,1) && v__1 + -1*v_x >= 0 && v__01 + -1*v_x >= 0 && v__0 + -1*v_x >= 0 && -1*v__12 >= 0 && v__01 + -1*v__12 >= 0 && -1*v__0 + v__1 >= 0 && -1*v__0 + v__01 >= 0 && -1 >= v__1] 15. eval_start_bb5_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb7_in(v__0,v__01,v__1,v__12,v_x,v_y) [v__01 + -1*v_y >= 0 (?,1) && v__1 + -1*v_x >= 0 && v__01 + -1*v_x >= 0 && v__0 + -1*v_x >= 0 && -1*v__12 >= 0 && v__01 + -1*v__12 >= 0 && -1*v__0 + v__1 >= 0 && -1*v__0 + v__01 >= 0 && v__1 >= 0] 16. eval_start_bb6_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb5_in(v__0,v__01,1 + v__1,v__12,v_x,v_y) [v__01 + -1*v_y >= 0 (?,1) && -1 + -1*v_x >= 0 && -1 + -1*v__12 + -1*v_x >= 0 && v__1 + -1*v_x >= 0 && -2 + -1*v__1 + -1*v_x >= 0 && v__01 + -1*v_x >= 0 && v__0 + -1*v_x >= 0 && -2 + -1*v__0 + -1*v_x >= 0 && -1*v__12 >= 0 && -1 + -1*v__1 + -1*v__12 >= 0 && v__01 + -1*v__12 >= 0 && -1 + -1*v__0 + -1*v__12 >= 0 && -1 + -1*v__1 >= 0 && -2 + -1*v__0 + -1*v__1 >= 0 && -1*v__0 + v__1 >= 0 && -1*v__0 + v__01 >= 0 && -1 + -1*v__0 >= 0] 17. eval_start_bb7_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_stop(v__0,v__01,v__1,v__12,v_x,v_y) [v__01 + -1*v_y >= 0 (?,1) && v__1 + -1*v_x >= 0 && v__01 + -1*v_x >= 0 && v__0 + -1*v_x >= 0 && -1*v__12 >= 0 && v__1 + -1*v__12 >= 0 && v__01 + -1*v__12 >= 0 && v__1 >= 0 && -1*v__0 + v__1 >= 0 && -1*v__0 + v__01 >= 0] Signature: {(eval_start_0,6) ;(eval_start_1,6) ;(eval_start_2,6) ;(eval_start_3,6) ;(eval_start_4,6) ;(eval_start_5,6) ;(eval_start_bb0_in,6) ;(eval_start_bb1_in,6) ;(eval_start_bb2_in,6) ;(eval_start_bb3_in,6) ;(eval_start_bb4_in,6) ;(eval_start_bb5_in,6) ;(eval_start_bb6_in,6) ;(eval_start_bb7_in,6) ;(eval_start_start,6) ;(eval_start_stop,6)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8,9},8->{10},9->{11,12},10->{8,9},11->{13},12->{14 ,15},13->{11,12},14->{16},15->{17},16->{14,15},17->{}] + Applied Processor: FromIts + Details: () * Step 2: AddSinks WORST_CASE(?,POLY) + Considered Problem: Rules: eval_start_start(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb0_in(v__0,v__01,v__1,v__12,v_x ,v_y) True eval_start_bb0_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_0(v__0,v__01,v__1,v__12,v_x ,v_y) True eval_start_0(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_1(v__0,v__01,v__1,v__12,v_x ,v_y) True eval_start_1(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_2(v__0,v__01,v__1,v__12,v_x ,v_y) True eval_start_2(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_3(v__0,v__01,v__1,v__12,v_x ,v_y) True eval_start_3(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_4(v__0,v__01,v__1,v__12,v_x ,v_y) True eval_start_4(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_5(v__0,v__01,v__1,v__12,v_x ,v_y) True eval_start_5(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb1_in(v_x,v_y,v__1,v__12,v_x ,v_y) True eval_start_bb1_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb2_in(v__0,v__01,v__1,v__12,v_x ,v_y) [v__01 + -1*v_y >= 0 && v__0 + -1*v_x >= 0 && -1 + v__0 >= v__01] eval_start_bb1_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb3_in(v__0,v__01,v__1,v__01,v_x ,v_y) [v__01 + -1*v_y >= 0 && v__0 + -1*v_x >= 0 && v__01 >= v__0] eval_start_bb2_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb1_in(999 + v__0,1000 + v__01,v__1,v__12 ,v_x ,v_y) [v__01 + -1*v_y >= 0 && -1 + v__0 + -1*v_y >= 0 && v__0 + -1*v_x >= 0 && -1 + v__0 + -1*v__01 >= 0] eval_start_bb3_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb4_in(v__0,v__01,v__1,v__12,v_x ,v_y) [v__01 + -1*v_y >= 0 && v__01 + -1*v_x >= 0 && v__0 + -1*v_x >= 0 && v__01 + -1*v__12 >= 0 && -1*v__0 + v__01 >= 0 && -1 + v__12 >= 0] eval_start_bb3_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb5_in(v__0,v__01,v__0,v__12,v_x ,v_y) [v__01 + -1*v_y >= 0 && v__01 + -1*v_x >= 0 && v__0 + -1*v_x >= 0 && v__01 + -1*v__12 >= 0 && -1*v__0 + v__01 >= 0 && 0 >= v__12] eval_start_bb4_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb3_in(v__0,v__01,v__1,-1 + v__12,v_x ,v_y) [v__01 + -1*v_y >= 0 && v__01 + -1*v_x >= 0 && v__0 + -1*v_x >= 0 && v__01 + -1*v__12 >= 0 && -1 + v__12 >= 0 && -2 + v__01 + v__12 >= 0 && -1 + v__01 >= 0 && -1*v__0 + v__01 >= 0] eval_start_bb5_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb6_in(v__0,v__01,v__1,v__12,v_x ,v_y) [v__01 + -1*v_y >= 0 && v__1 + -1*v_x >= 0 && v__01 + -1*v_x >= 0 && v__0 + -1*v_x >= 0 && -1*v__12 >= 0 && v__01 + -1*v__12 >= 0 && -1*v__0 + v__1 >= 0 && -1*v__0 + v__01 >= 0 && -1 >= v__1] eval_start_bb5_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb7_in(v__0,v__01,v__1,v__12,v_x ,v_y) [v__01 + -1*v_y >= 0 && v__1 + -1*v_x >= 0 && v__01 + -1*v_x >= 0 && v__0 + -1*v_x >= 0 && -1*v__12 >= 0 && v__01 + -1*v__12 >= 0 && -1*v__0 + v__1 >= 0 && -1*v__0 + v__01 >= 0 && v__1 >= 0] eval_start_bb6_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb5_in(v__0,v__01,1 + v__1,v__12,v_x ,v_y) [v__01 + -1*v_y >= 0 && -1 + -1*v_x >= 0 && -1 + -1*v__12 + -1*v_x >= 0 && v__1 + -1*v_x >= 0 && -2 + -1*v__1 + -1*v_x >= 0 && v__01 + -1*v_x >= 0 && v__0 + -1*v_x >= 0 && -2 + -1*v__0 + -1*v_x >= 0 && -1*v__12 >= 0 && -1 + -1*v__1 + -1*v__12 >= 0 && v__01 + -1*v__12 >= 0 && -1 + -1*v__0 + -1*v__12 >= 0 && -1 + -1*v__1 >= 0 && -2 + -1*v__0 + -1*v__1 >= 0 && -1*v__0 + v__1 >= 0 && -1*v__0 + v__01 >= 0 && -1 + -1*v__0 >= 0] eval_start_bb7_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_stop(v__0,v__01,v__1,v__12,v_x ,v_y) [v__01 + -1*v_y >= 0 && v__1 + -1*v_x >= 0 && v__01 + -1*v_x >= 0 && v__0 + -1*v_x >= 0 && -1*v__12 >= 0 && v__1 + -1*v__12 >= 0 && v__01 + -1*v__12 >= 0 && v__1 >= 0 && -1*v__0 + v__1 >= 0 && -1*v__0 + v__01 >= 0] Signature: {(eval_start_0,6) ;(eval_start_1,6) ;(eval_start_2,6) ;(eval_start_3,6) ;(eval_start_4,6) ;(eval_start_5,6) ;(eval_start_bb0_in,6) ;(eval_start_bb1_in,6) ;(eval_start_bb2_in,6) ;(eval_start_bb3_in,6) ;(eval_start_bb4_in,6) ;(eval_start_bb5_in,6) ;(eval_start_bb6_in,6) ;(eval_start_bb7_in,6) ;(eval_start_start,6) ;(eval_start_stop,6)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8,9},8->{10},9->{11,12},10->{8,9},11->{13},12->{14 ,15},13->{11,12},14->{16},15->{17},16->{14,15},17->{}] + Applied Processor: AddSinks + Details: () * Step 3: Decompose WORST_CASE(?,POLY) + Considered Problem: Rules: eval_start_start(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb0_in(v__0,v__01,v__1,v__12,v_x ,v_y) True eval_start_bb0_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_0(v__0,v__01,v__1,v__12,v_x ,v_y) True eval_start_0(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_1(v__0,v__01,v__1,v__12,v_x ,v_y) True eval_start_1(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_2(v__0,v__01,v__1,v__12,v_x ,v_y) True eval_start_2(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_3(v__0,v__01,v__1,v__12,v_x ,v_y) True eval_start_3(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_4(v__0,v__01,v__1,v__12,v_x ,v_y) True eval_start_4(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_5(v__0,v__01,v__1,v__12,v_x ,v_y) True eval_start_5(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb1_in(v_x,v_y,v__1,v__12,v_x ,v_y) True eval_start_bb1_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb2_in(v__0,v__01,v__1,v__12,v_x ,v_y) [v__01 + -1*v_y >= 0 && v__0 + -1*v_x >= 0 && -1 + v__0 >= v__01] eval_start_bb1_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb3_in(v__0,v__01,v__1,v__01,v_x ,v_y) [v__01 + -1*v_y >= 0 && v__0 + -1*v_x >= 0 && v__01 >= v__0] eval_start_bb2_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb1_in(999 + v__0,1000 + v__01,v__1,v__12 ,v_x ,v_y) [v__01 + -1*v_y >= 0 && -1 + v__0 + -1*v_y >= 0 && v__0 + -1*v_x >= 0 && -1 + v__0 + -1*v__01 >= 0] eval_start_bb3_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb4_in(v__0,v__01,v__1,v__12,v_x ,v_y) [v__01 + -1*v_y >= 0 && v__01 + -1*v_x >= 0 && v__0 + -1*v_x >= 0 && v__01 + -1*v__12 >= 0 && -1*v__0 + v__01 >= 0 && -1 + v__12 >= 0] eval_start_bb3_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb5_in(v__0,v__01,v__0,v__12,v_x ,v_y) [v__01 + -1*v_y >= 0 && v__01 + -1*v_x >= 0 && v__0 + -1*v_x >= 0 && v__01 + -1*v__12 >= 0 && -1*v__0 + v__01 >= 0 && 0 >= v__12] eval_start_bb4_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb3_in(v__0,v__01,v__1,-1 + v__12,v_x ,v_y) [v__01 + -1*v_y >= 0 && v__01 + -1*v_x >= 0 && v__0 + -1*v_x >= 0 && v__01 + -1*v__12 >= 0 && -1 + v__12 >= 0 && -2 + v__01 + v__12 >= 0 && -1 + v__01 >= 0 && -1*v__0 + v__01 >= 0] eval_start_bb5_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb6_in(v__0,v__01,v__1,v__12,v_x ,v_y) [v__01 + -1*v_y >= 0 && v__1 + -1*v_x >= 0 && v__01 + -1*v_x >= 0 && v__0 + -1*v_x >= 0 && -1*v__12 >= 0 && v__01 + -1*v__12 >= 0 && -1*v__0 + v__1 >= 0 && -1*v__0 + v__01 >= 0 && -1 >= v__1] eval_start_bb5_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb7_in(v__0,v__01,v__1,v__12,v_x ,v_y) [v__01 + -1*v_y >= 0 && v__1 + -1*v_x >= 0 && v__01 + -1*v_x >= 0 && v__0 + -1*v_x >= 0 && -1*v__12 >= 0 && v__01 + -1*v__12 >= 0 && -1*v__0 + v__1 >= 0 && -1*v__0 + v__01 >= 0 && v__1 >= 0] eval_start_bb6_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb5_in(v__0,v__01,1 + v__1,v__12,v_x ,v_y) [v__01 + -1*v_y >= 0 && -1 + -1*v_x >= 0 && -1 + -1*v__12 + -1*v_x >= 0 && v__1 + -1*v_x >= 0 && -2 + -1*v__1 + -1*v_x >= 0 && v__01 + -1*v_x >= 0 && v__0 + -1*v_x >= 0 && -2 + -1*v__0 + -1*v_x >= 0 && -1*v__12 >= 0 && -1 + -1*v__1 + -1*v__12 >= 0 && v__01 + -1*v__12 >= 0 && -1 + -1*v__0 + -1*v__12 >= 0 && -1 + -1*v__1 >= 0 && -2 + -1*v__0 + -1*v__1 >= 0 && -1*v__0 + v__1 >= 0 && -1*v__0 + v__01 >= 0 && -1 + -1*v__0 >= 0] eval_start_bb7_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_stop(v__0,v__01,v__1,v__12,v_x ,v_y) [v__01 + -1*v_y >= 0 && v__1 + -1*v_x >= 0 && v__01 + -1*v_x >= 0 && v__0 + -1*v_x >= 0 && -1*v__12 >= 0 && v__1 + -1*v__12 >= 0 && v__01 + -1*v__12 >= 0 && v__1 >= 0 && -1*v__0 + v__1 >= 0 && -1*v__0 + v__01 >= 0] eval_start_stop(v__0,v__01,v__1,v__12,v_x,v_y) -> exitus616(v__0,v__01,v__1,v__12,v_x ,v_y) True Signature: {(eval_start_0,6) ;(eval_start_1,6) ;(eval_start_2,6) ;(eval_start_3,6) ;(eval_start_4,6) ;(eval_start_5,6) ;(eval_start_bb0_in,6) ;(eval_start_bb1_in,6) ;(eval_start_bb2_in,6) ;(eval_start_bb3_in,6) ;(eval_start_bb4_in,6) ;(eval_start_bb5_in,6) ;(eval_start_bb6_in,6) ;(eval_start_bb7_in,6) ;(eval_start_start,6) ;(eval_start_stop,6) ;(exitus616,6)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8,9},8->{10},9->{11,12},10->{8,9},11->{13},12->{14 ,15},13->{11,12},14->{16},15->{17},16->{14,15},17->{18}] + 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] | +- p:[8,10] c: [8,10] | +- p:[11,13] c: [11,13] | `- p:[14,16] c: [14,16] * Step 4: AbstractSize WORST_CASE(?,POLY) + Considered Problem: (Rules: eval_start_start(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb0_in(v__0,v__01,v__1,v__12,v_x ,v_y) True eval_start_bb0_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_0(v__0,v__01,v__1,v__12,v_x ,v_y) True eval_start_0(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_1(v__0,v__01,v__1,v__12,v_x ,v_y) True eval_start_1(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_2(v__0,v__01,v__1,v__12,v_x ,v_y) True eval_start_2(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_3(v__0,v__01,v__1,v__12,v_x ,v_y) True eval_start_3(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_4(v__0,v__01,v__1,v__12,v_x ,v_y) True eval_start_4(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_5(v__0,v__01,v__1,v__12,v_x ,v_y) True eval_start_5(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb1_in(v_x,v_y,v__1,v__12,v_x ,v_y) True eval_start_bb1_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb2_in(v__0,v__01,v__1,v__12,v_x ,v_y) [v__01 + -1*v_y >= 0 && v__0 + -1*v_x >= 0 && -1 + v__0 >= v__01] eval_start_bb1_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb3_in(v__0,v__01,v__1,v__01,v_x ,v_y) [v__01 + -1*v_y >= 0 && v__0 + -1*v_x >= 0 && v__01 >= v__0] eval_start_bb2_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb1_in(999 + v__0,1000 + v__01,v__1,v__12 ,v_x ,v_y) [v__01 + -1*v_y >= 0 && -1 + v__0 + -1*v_y >= 0 && v__0 + -1*v_x >= 0 && -1 + v__0 + -1*v__01 >= 0] eval_start_bb3_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb4_in(v__0,v__01,v__1,v__12,v_x ,v_y) [v__01 + -1*v_y >= 0 && v__01 + -1*v_x >= 0 && v__0 + -1*v_x >= 0 && v__01 + -1*v__12 >= 0 && -1*v__0 + v__01 >= 0 && -1 + v__12 >= 0] eval_start_bb3_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb5_in(v__0,v__01,v__0,v__12,v_x ,v_y) [v__01 + -1*v_y >= 0 && v__01 + -1*v_x >= 0 && v__0 + -1*v_x >= 0 && v__01 + -1*v__12 >= 0 && -1*v__0 + v__01 >= 0 && 0 >= v__12] eval_start_bb4_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb3_in(v__0,v__01,v__1,-1 + v__12,v_x ,v_y) [v__01 + -1*v_y >= 0 && v__01 + -1*v_x >= 0 && v__0 + -1*v_x >= 0 && v__01 + -1*v__12 >= 0 && -1 + v__12 >= 0 && -2 + v__01 + v__12 >= 0 && -1 + v__01 >= 0 && -1*v__0 + v__01 >= 0] eval_start_bb5_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb6_in(v__0,v__01,v__1,v__12,v_x ,v_y) [v__01 + -1*v_y >= 0 && v__1 + -1*v_x >= 0 && v__01 + -1*v_x >= 0 && v__0 + -1*v_x >= 0 && -1*v__12 >= 0 && v__01 + -1*v__12 >= 0 && -1*v__0 + v__1 >= 0 && -1*v__0 + v__01 >= 0 && -1 >= v__1] eval_start_bb5_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb7_in(v__0,v__01,v__1,v__12,v_x ,v_y) [v__01 + -1*v_y >= 0 && v__1 + -1*v_x >= 0 && v__01 + -1*v_x >= 0 && v__0 + -1*v_x >= 0 && -1*v__12 >= 0 && v__01 + -1*v__12 >= 0 && -1*v__0 + v__1 >= 0 && -1*v__0 + v__01 >= 0 && v__1 >= 0] eval_start_bb6_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_bb5_in(v__0,v__01,1 + v__1,v__12,v_x ,v_y) [v__01 + -1*v_y >= 0 && -1 + -1*v_x >= 0 && -1 + -1*v__12 + -1*v_x >= 0 && v__1 + -1*v_x >= 0 && -2 + -1*v__1 + -1*v_x >= 0 && v__01 + -1*v_x >= 0 && v__0 + -1*v_x >= 0 && -2 + -1*v__0 + -1*v_x >= 0 && -1*v__12 >= 0 && -1 + -1*v__1 + -1*v__12 >= 0 && v__01 + -1*v__12 >= 0 && -1 + -1*v__0 + -1*v__12 >= 0 && -1 + -1*v__1 >= 0 && -2 + -1*v__0 + -1*v__1 >= 0 && -1*v__0 + v__1 >= 0 && -1*v__0 + v__01 >= 0 && -1 + -1*v__0 >= 0] eval_start_bb7_in(v__0,v__01,v__1,v__12,v_x,v_y) -> eval_start_stop(v__0,v__01,v__1,v__12,v_x ,v_y) [v__01 + -1*v_y >= 0 && v__1 + -1*v_x >= 0 && v__01 + -1*v_x >= 0 && v__0 + -1*v_x >= 0 && -1*v__12 >= 0 && v__1 + -1*v__12 >= 0 && v__01 + -1*v__12 >= 0 && v__1 >= 0 && -1*v__0 + v__1 >= 0 && -1*v__0 + v__01 >= 0] eval_start_stop(v__0,v__01,v__1,v__12,v_x,v_y) -> exitus616(v__0,v__01,v__1,v__12,v_x ,v_y) True Signature: {(eval_start_0,6) ;(eval_start_1,6) ;(eval_start_2,6) ;(eval_start_3,6) ;(eval_start_4,6) ;(eval_start_5,6) ;(eval_start_bb0_in,6) ;(eval_start_bb1_in,6) ;(eval_start_bb2_in,6) ;(eval_start_bb3_in,6) ;(eval_start_bb4_in,6) ;(eval_start_bb5_in,6) ;(eval_start_bb6_in,6) ;(eval_start_bb7_in,6) ;(eval_start_start,6) ;(eval_start_stop,6) ;(exitus616,6)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8,9},8->{10},9->{11,12},10->{8,9},11->{13},12->{14 ,15},13->{11,12},14->{16},15->{17},16->{14,15},17->{18}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18] | +- p:[8,10] c: [8,10] | +- p:[11,13] c: [11,13] | `- p:[14,16] c: [14,16]) + Applied Processor: AbstractSize Minimize + Details: () * Step 5: AbstractFlow WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [v__0,v__01,v__1,v__12,v_x,v_y,0.0,0.1,0.2] eval_start_start ~> eval_start_bb0_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__12 <= v__12, v_x <= v_x, v_y <= v_y] eval_start_bb0_in ~> eval_start_0 [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__12 <= v__12, v_x <= v_x, v_y <= v_y] eval_start_0 ~> eval_start_1 [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__12 <= v__12, v_x <= v_x, v_y <= v_y] eval_start_1 ~> eval_start_2 [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__12 <= v__12, v_x <= v_x, v_y <= v_y] eval_start_2 ~> eval_start_3 [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__12 <= v__12, v_x <= v_x, v_y <= v_y] eval_start_3 ~> eval_start_4 [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__12 <= v__12, v_x <= v_x, v_y <= v_y] eval_start_4 ~> eval_start_5 [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__12 <= v__12, v_x <= v_x, v_y <= v_y] eval_start_5 ~> eval_start_bb1_in [v__0 <= v_x, v__01 <= v_y, v__1 <= v__1, v__12 <= v__12, v_x <= v_x, v_y <= v_y] eval_start_bb1_in ~> eval_start_bb2_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__12 <= v__12, v_x <= v_x, v_y <= v_y] eval_start_bb1_in ~> eval_start_bb3_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__12 <= v__01, v_x <= v_x, v_y <= v_y] eval_start_bb2_in ~> eval_start_bb1_in [v__0 <= 999*K + v__0, v__01 <= 999*K + v__0 + v__01, v__1 <= v__1, v__12 <= v__12, v_x <= v_x, v_y <= v_y] eval_start_bb3_in ~> eval_start_bb4_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__12 <= v__12, v_x <= v_x, v_y <= v_y] eval_start_bb3_in ~> eval_start_bb5_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__0, v__12 <= v__12, v_x <= v_x, v_y <= v_y] eval_start_bb4_in ~> eval_start_bb3_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__12 <= v__01, v_x <= v_x, v_y <= v_y] eval_start_bb5_in ~> eval_start_bb6_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__12 <= v__12, v_x <= v_x, v_y <= v_y] eval_start_bb5_in ~> eval_start_bb7_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__12 <= v__12, v_x <= v_x, v_y <= v_y] eval_start_bb6_in ~> eval_start_bb5_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__12 <= v__12, v_x <= v_x, v_y <= v_y] eval_start_bb7_in ~> eval_start_stop [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__12 <= v__12, v_x <= v_x, v_y <= v_y] eval_start_stop ~> exitus616 [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__12 <= v__12, v_x <= v_x, v_y <= v_y] + Loop: [0.0 <= K + v__0 + v__01] eval_start_bb1_in ~> eval_start_bb2_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__12 <= v__12, v_x <= v_x, v_y <= v_y] eval_start_bb2_in ~> eval_start_bb1_in [v__0 <= 999*K + v__0, v__01 <= 999*K + v__0 + v__01, v__1 <= v__1, v__12 <= v__12, v_x <= v_x, v_y <= v_y] + Loop: [0.1 <= K + v__12] eval_start_bb3_in ~> eval_start_bb4_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__12 <= v__12, v_x <= v_x, v_y <= v_y] eval_start_bb4_in ~> eval_start_bb3_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__12 <= v__01, v_x <= v_x, v_y <= v_y] + Loop: [0.2 <= v__1] eval_start_bb5_in ~> eval_start_bb6_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__12 <= v__12, v_x <= v_x, v_y <= v_y] eval_start_bb6_in ~> eval_start_bb5_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__12 <= v__12, v_x <= v_x, v_y <= v_y] + Applied Processor: AbstractFlow + Details: () * Step 6: Lare WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [tick,huge,K,v__0,v__01,v__1,v__12,v_x,v_y,0.0,0.1,0.2] eval_start_start ~> eval_start_bb0_in [] eval_start_bb0_in ~> eval_start_0 [] eval_start_0 ~> eval_start_1 [] eval_start_1 ~> eval_start_2 [] eval_start_2 ~> eval_start_3 [] eval_start_3 ~> eval_start_4 [] eval_start_4 ~> eval_start_5 [] eval_start_5 ~> eval_start_bb1_in [v_x ~=> v__0,v_y ~=> v__01] eval_start_bb1_in ~> eval_start_bb2_in [] eval_start_bb1_in ~> eval_start_bb3_in [v__01 ~=> v__12] eval_start_bb2_in ~> eval_start_bb1_in [v__0 ~+> v__0 ,v__0 ~+> v__01 ,v__01 ~+> v__01 ,K ~*> v__0 ,K ~*> v__01] eval_start_bb3_in ~> eval_start_bb4_in [] eval_start_bb3_in ~> eval_start_bb5_in [v__0 ~=> v__1] eval_start_bb4_in ~> eval_start_bb3_in [v__01 ~=> v__12] eval_start_bb5_in ~> eval_start_bb6_in [] eval_start_bb5_in ~> eval_start_bb7_in [] eval_start_bb6_in ~> eval_start_bb5_in [] eval_start_bb7_in ~> eval_start_stop [] eval_start_stop ~> exitus616 [] + Loop: [v__0 ~+> 0.0,v__01 ~+> 0.0,K ~+> 0.0] eval_start_bb1_in ~> eval_start_bb2_in [] eval_start_bb2_in ~> eval_start_bb1_in [v__0 ~+> v__0 ,v__0 ~+> v__01 ,v__01 ~+> v__01 ,K ~*> v__0 ,K ~*> v__01] + Loop: [v__12 ~+> 0.1,K ~+> 0.1] eval_start_bb3_in ~> eval_start_bb4_in [] eval_start_bb4_in ~> eval_start_bb3_in [v__01 ~=> v__12] + Loop: [v__1 ~=> 0.2] eval_start_bb5_in ~> eval_start_bb6_in [] eval_start_bb6_in ~> eval_start_bb5_in [] + Applied Processor: Lare + Details: eval_start_start ~> exitus616 [v_x ~=> v__0 ,v_x ~=> v__1 ,v_x ~=> 0.2 ,v_y ~=> v__01 ,v_y ~=> v__12 ,v_x ~+> v__0 ,v_x ~+> v__01 ,v_x ~+> v__1 ,v_x ~+> v__12 ,v_x ~+> 0.0 ,v_x ~+> 0.1 ,v_x ~+> 0.2 ,v_x ~+> tick ,v_y ~+> v__01 ,v_y ~+> v__12 ,v_y ~+> 0.0 ,v_y ~+> 0.1 ,v_y ~+> tick ,tick ~+> tick ,K ~+> 0.0 ,K ~+> 0.1 ,K ~+> tick ,v_x ~*> v__0 ,v_x ~*> v__01 ,v_x ~*> v__1 ,v_x ~*> v__12 ,v_x ~*> 0.1 ,v_x ~*> 0.2 ,v_x ~*> tick ,v_y ~*> v__0 ,v_y ~*> v__01 ,v_y ~*> v__1 ,v_y ~*> v__12 ,v_y ~*> 0.1 ,v_y ~*> 0.2 ,v_y ~*> tick ,K ~*> v__0 ,K ~*> v__01 ,K ~*> v__1 ,K ~*> v__12 ,K ~*> 0.1 ,K ~*> 0.2 ,K ~*> tick] + eval_start_bb1_in> [v__0 ~+> v__0 ,v__0 ~+> v__01 ,v__0 ~+> 0.0 ,v__0 ~+> tick ,v__01 ~+> v__01 ,v__01 ~+> 0.0 ,v__01 ~+> tick ,tick ~+> tick ,K ~+> 0.0 ,K ~+> tick ,v__0 ~*> v__0 ,v__0 ~*> v__01 ,v__01 ~*> v__0 ,v__01 ~*> v__01 ,K ~*> v__0 ,K ~*> v__01] + eval_start_bb3_in> [v__01 ~=> v__12 ,v__12 ~+> 0.1 ,v__12 ~+> tick ,tick ~+> tick ,K ~+> 0.1 ,K ~+> tick] + eval_start_bb5_in> [v__1 ~=> 0.2,v__1 ~+> tick,tick ~+> tick] YES(?,POLY)