YES(?,POLY) * Step 1: UnsatPaths WORST_CASE(?,POLY) + Considered Problem: Rules: 0. eval_start_start(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb0_in(v_m,v_n,v_x_0,v_y_0) True (1,1) 1. eval_start_bb0_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_0(v_m,v_n,v_x_0,v_y_0) True (?,1) 2. eval_start_0(v_m,v_n,v_x_0,v_y_0) -> eval_start_1(v_m,v_n,v_x_0,v_y_0) True (?,1) 3. eval_start_1(v_m,v_n,v_x_0,v_y_0) -> eval_start_2(v_m,v_n,v_x_0,v_y_0) True (?,1) 4. eval_start_2(v_m,v_n,v_x_0,v_y_0) -> eval_start_3(v_m,v_n,v_x_0,v_y_0) True (?,1) 5. eval_start_3(v_m,v_n,v_x_0,v_y_0) -> eval_start_4(v_m,v_n,v_x_0,v_y_0) True (?,1) 6. eval_start_4(v_m,v_n,v_x_0,v_y_0) -> eval_start_5(v_m,v_n,v_x_0,v_y_0) True (?,1) 7. eval_start_5(v_m,v_n,v_x_0,v_y_0) -> eval_start_6(v_m,v_n,v_x_0,v_y_0) True (?,1) 8. eval_start_6(v_m,v_n,v_x_0,v_y_0) -> eval_start_7(v_m,v_n,v_x_0,v_y_0) True (?,1) 9. eval_start_7(v_m,v_n,v_x_0,v_y_0) -> eval_start_8(v_m,v_n,v_x_0,v_y_0) True (?,1) 10. eval_start_8(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb1_in(v_m,v_n,0,0) True (?,1) 11. eval_start_bb1_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb2_in(v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 (?,1) && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && -1 + v_n >= v_x_0] 12. eval_start_bb1_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb3_in(v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 (?,1) && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && v_x_0 >= v_n] 13. eval_start_bb2_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb1_in(v_m,v_n,1 + v_x_0,1 + v_y_0) [v_x_0 + -1*v_y_0 >= 0 (?,1) && -1 + v_n + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && -1 + v_n + v_y_0 >= 0 && -1 + v_n + -1*v_x_0 >= 0 && v_x_0 >= 0 && -1 + v_n + v_x_0 >= 0 && -1 + v_n >= 0] 14. eval_start_bb3_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb4_in(v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 (?,1) && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && -1 + v_m >= v_y_0] 15. eval_start_bb3_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb5_in(v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 (?,1) && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && v_y_0 >= v_m] 16. eval_start_bb4_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb1_in(v_m,v_n,1 + v_x_0,1 + v_y_0) [v_x_0 + -1*v_y_0 >= 0 (?,1) && -1 + v_m + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && -1 + v_m + v_y_0 >= 0 && -1 + v_m + -1*v_x_0 >= 0 && v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && -1 + v_m + v_x_0 >= 0 && -1 + v_m + -1*v_n >= 0 && -1 + v_m >= 0] 17. eval_start_bb5_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_stop(v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 (?,1) && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && -1*v_m + v_y_0 >= 0 && v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && -1*v_m + v_x_0 >= 0] Signature: {(eval_start_0,4) ;(eval_start_1,4) ;(eval_start_2,4) ;(eval_start_3,4) ;(eval_start_4,4) ;(eval_start_5,4) ;(eval_start_6,4) ;(eval_start_7,4) ;(eval_start_8,4) ;(eval_start_bb0_in,4) ;(eval_start_bb1_in,4) ;(eval_start_bb2_in,4) ;(eval_start_bb3_in,4) ;(eval_start_bb4_in,4) ;(eval_start_bb5_in,4) ;(eval_start_start,4) ;(eval_start_stop,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10},10->{11,12},11->{13},12->{14,15} ,13->{11,12},14->{16},15->{17},16->{11,12},17->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(16,11)] * Step 2: FromIts WORST_CASE(?,POLY) + Considered Problem: Rules: 0. eval_start_start(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb0_in(v_m,v_n,v_x_0,v_y_0) True (1,1) 1. eval_start_bb0_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_0(v_m,v_n,v_x_0,v_y_0) True (?,1) 2. eval_start_0(v_m,v_n,v_x_0,v_y_0) -> eval_start_1(v_m,v_n,v_x_0,v_y_0) True (?,1) 3. eval_start_1(v_m,v_n,v_x_0,v_y_0) -> eval_start_2(v_m,v_n,v_x_0,v_y_0) True (?,1) 4. eval_start_2(v_m,v_n,v_x_0,v_y_0) -> eval_start_3(v_m,v_n,v_x_0,v_y_0) True (?,1) 5. eval_start_3(v_m,v_n,v_x_0,v_y_0) -> eval_start_4(v_m,v_n,v_x_0,v_y_0) True (?,1) 6. eval_start_4(v_m,v_n,v_x_0,v_y_0) -> eval_start_5(v_m,v_n,v_x_0,v_y_0) True (?,1) 7. eval_start_5(v_m,v_n,v_x_0,v_y_0) -> eval_start_6(v_m,v_n,v_x_0,v_y_0) True (?,1) 8. eval_start_6(v_m,v_n,v_x_0,v_y_0) -> eval_start_7(v_m,v_n,v_x_0,v_y_0) True (?,1) 9. eval_start_7(v_m,v_n,v_x_0,v_y_0) -> eval_start_8(v_m,v_n,v_x_0,v_y_0) True (?,1) 10. eval_start_8(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb1_in(v_m,v_n,0,0) True (?,1) 11. eval_start_bb1_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb2_in(v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 (?,1) && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && -1 + v_n >= v_x_0] 12. eval_start_bb1_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb3_in(v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 (?,1) && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && v_x_0 >= v_n] 13. eval_start_bb2_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb1_in(v_m,v_n,1 + v_x_0,1 + v_y_0) [v_x_0 + -1*v_y_0 >= 0 (?,1) && -1 + v_n + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && -1 + v_n + v_y_0 >= 0 && -1 + v_n + -1*v_x_0 >= 0 && v_x_0 >= 0 && -1 + v_n + v_x_0 >= 0 && -1 + v_n >= 0] 14. eval_start_bb3_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb4_in(v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 (?,1) && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && -1 + v_m >= v_y_0] 15. eval_start_bb3_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb5_in(v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 (?,1) && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && v_y_0 >= v_m] 16. eval_start_bb4_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb1_in(v_m,v_n,1 + v_x_0,1 + v_y_0) [v_x_0 + -1*v_y_0 >= 0 (?,1) && -1 + v_m + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && -1 + v_m + v_y_0 >= 0 && -1 + v_m + -1*v_x_0 >= 0 && v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && -1 + v_m + v_x_0 >= 0 && -1 + v_m + -1*v_n >= 0 && -1 + v_m >= 0] 17. eval_start_bb5_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_stop(v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 (?,1) && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && -1*v_m + v_y_0 >= 0 && v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && -1*v_m + v_x_0 >= 0] Signature: {(eval_start_0,4) ;(eval_start_1,4) ;(eval_start_2,4) ;(eval_start_3,4) ;(eval_start_4,4) ;(eval_start_5,4) ;(eval_start_6,4) ;(eval_start_7,4) ;(eval_start_8,4) ;(eval_start_bb0_in,4) ;(eval_start_bb1_in,4) ;(eval_start_bb2_in,4) ;(eval_start_bb3_in,4) ;(eval_start_bb4_in,4) ;(eval_start_bb5_in,4) ;(eval_start_start,4) ;(eval_start_stop,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10},10->{11,12},11->{13},12->{14,15} ,13->{11,12},14->{16},15->{17},16->{12},17->{}] + Applied Processor: FromIts + Details: () * Step 3: AddSinks WORST_CASE(?,POLY) + Considered Problem: Rules: eval_start_start(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb0_in(v_m,v_n,v_x_0,v_y_0) True eval_start_bb0_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_0(v_m,v_n,v_x_0,v_y_0) True eval_start_0(v_m,v_n,v_x_0,v_y_0) -> eval_start_1(v_m,v_n,v_x_0,v_y_0) True eval_start_1(v_m,v_n,v_x_0,v_y_0) -> eval_start_2(v_m,v_n,v_x_0,v_y_0) True eval_start_2(v_m,v_n,v_x_0,v_y_0) -> eval_start_3(v_m,v_n,v_x_0,v_y_0) True eval_start_3(v_m,v_n,v_x_0,v_y_0) -> eval_start_4(v_m,v_n,v_x_0,v_y_0) True eval_start_4(v_m,v_n,v_x_0,v_y_0) -> eval_start_5(v_m,v_n,v_x_0,v_y_0) True eval_start_5(v_m,v_n,v_x_0,v_y_0) -> eval_start_6(v_m,v_n,v_x_0,v_y_0) True eval_start_6(v_m,v_n,v_x_0,v_y_0) -> eval_start_7(v_m,v_n,v_x_0,v_y_0) True eval_start_7(v_m,v_n,v_x_0,v_y_0) -> eval_start_8(v_m,v_n,v_x_0,v_y_0) True eval_start_8(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb1_in(v_m,v_n,0,0) True eval_start_bb1_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb2_in(v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && -1 + v_n >= v_x_0] eval_start_bb1_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb3_in(v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && v_x_0 >= v_n] eval_start_bb2_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb1_in(v_m,v_n,1 + v_x_0,1 + v_y_0) [v_x_0 + -1*v_y_0 >= 0 && -1 + v_n + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && -1 + v_n + v_y_0 >= 0 && -1 + v_n + -1*v_x_0 >= 0 && v_x_0 >= 0 && -1 + v_n + v_x_0 >= 0 && -1 + v_n >= 0] eval_start_bb3_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb4_in(v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && -1 + v_m >= v_y_0] eval_start_bb3_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb5_in(v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && v_y_0 >= v_m] eval_start_bb4_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb1_in(v_m,v_n,1 + v_x_0,1 + v_y_0) [v_x_0 + -1*v_y_0 >= 0 && -1 + v_m + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && -1 + v_m + v_y_0 >= 0 && -1 + v_m + -1*v_x_0 >= 0 && v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && -1 + v_m + v_x_0 >= 0 && -1 + v_m + -1*v_n >= 0 && -1 + v_m >= 0] eval_start_bb5_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_stop(v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && -1*v_m + v_y_0 >= 0 && v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && -1*v_m + v_x_0 >= 0] Signature: {(eval_start_0,4) ;(eval_start_1,4) ;(eval_start_2,4) ;(eval_start_3,4) ;(eval_start_4,4) ;(eval_start_5,4) ;(eval_start_6,4) ;(eval_start_7,4) ;(eval_start_8,4) ;(eval_start_bb0_in,4) ;(eval_start_bb1_in,4) ;(eval_start_bb2_in,4) ;(eval_start_bb3_in,4) ;(eval_start_bb4_in,4) ;(eval_start_bb5_in,4) ;(eval_start_start,4) ;(eval_start_stop,4)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10},10->{11,12},11->{13},12->{14,15} ,13->{11,12},14->{16},15->{17},16->{12},17->{}] + Applied Processor: AddSinks + Details: () * Step 4: Decompose WORST_CASE(?,POLY) + Considered Problem: Rules: eval_start_start(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb0_in(v_m,v_n,v_x_0,v_y_0) True eval_start_bb0_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_0(v_m,v_n,v_x_0,v_y_0) True eval_start_0(v_m,v_n,v_x_0,v_y_0) -> eval_start_1(v_m,v_n,v_x_0,v_y_0) True eval_start_1(v_m,v_n,v_x_0,v_y_0) -> eval_start_2(v_m,v_n,v_x_0,v_y_0) True eval_start_2(v_m,v_n,v_x_0,v_y_0) -> eval_start_3(v_m,v_n,v_x_0,v_y_0) True eval_start_3(v_m,v_n,v_x_0,v_y_0) -> eval_start_4(v_m,v_n,v_x_0,v_y_0) True eval_start_4(v_m,v_n,v_x_0,v_y_0) -> eval_start_5(v_m,v_n,v_x_0,v_y_0) True eval_start_5(v_m,v_n,v_x_0,v_y_0) -> eval_start_6(v_m,v_n,v_x_0,v_y_0) True eval_start_6(v_m,v_n,v_x_0,v_y_0) -> eval_start_7(v_m,v_n,v_x_0,v_y_0) True eval_start_7(v_m,v_n,v_x_0,v_y_0) -> eval_start_8(v_m,v_n,v_x_0,v_y_0) True eval_start_8(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb1_in(v_m,v_n,0,0) True eval_start_bb1_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb2_in(v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && -1 + v_n >= v_x_0] eval_start_bb1_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb3_in(v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && v_x_0 >= v_n] eval_start_bb2_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb1_in(v_m,v_n,1 + v_x_0,1 + v_y_0) [v_x_0 + -1*v_y_0 >= 0 && -1 + v_n + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && -1 + v_n + v_y_0 >= 0 && -1 + v_n + -1*v_x_0 >= 0 && v_x_0 >= 0 && -1 + v_n + v_x_0 >= 0 && -1 + v_n >= 0] eval_start_bb3_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb4_in(v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && -1 + v_m >= v_y_0] eval_start_bb3_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb5_in(v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && v_y_0 >= v_m] eval_start_bb4_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb1_in(v_m,v_n,1 + v_x_0,1 + v_y_0) [v_x_0 + -1*v_y_0 >= 0 && -1 + v_m + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && -1 + v_m + v_y_0 >= 0 && -1 + v_m + -1*v_x_0 >= 0 && v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && -1 + v_m + v_x_0 >= 0 && -1 + v_m + -1*v_n >= 0 && -1 + v_m >= 0] eval_start_bb5_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_stop(v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && -1*v_m + v_y_0 >= 0 && v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && -1*v_m + v_x_0 >= 0] eval_start_stop(v_m,v_n,v_x_0,v_y_0) -> exitus616(v_m,v_n,v_x_0,v_y_0) True Signature: {(eval_start_0,4) ;(eval_start_1,4) ;(eval_start_2,4) ;(eval_start_3,4) ;(eval_start_4,4) ;(eval_start_5,4) ;(eval_start_6,4) ;(eval_start_7,4) ;(eval_start_8,4) ;(eval_start_bb0_in,4) ;(eval_start_bb1_in,4) ;(eval_start_bb2_in,4) ;(eval_start_bb3_in,4) ;(eval_start_bb4_in,4) ;(eval_start_bb5_in,4) ;(eval_start_start,4) ;(eval_start_stop,4) ;(exitus616,4)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10},10->{11,12},11->{13},12->{14,15} ,13->{11,12},14->{16},15->{17},16->{12},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:[11,13] c: [11,13] | `- p:[12,16,14] c: [12,14,16] * Step 5: AbstractSize WORST_CASE(?,POLY) + Considered Problem: (Rules: eval_start_start(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb0_in(v_m,v_n,v_x_0,v_y_0) True eval_start_bb0_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_0(v_m,v_n,v_x_0,v_y_0) True eval_start_0(v_m,v_n,v_x_0,v_y_0) -> eval_start_1(v_m,v_n,v_x_0,v_y_0) True eval_start_1(v_m,v_n,v_x_0,v_y_0) -> eval_start_2(v_m,v_n,v_x_0,v_y_0) True eval_start_2(v_m,v_n,v_x_0,v_y_0) -> eval_start_3(v_m,v_n,v_x_0,v_y_0) True eval_start_3(v_m,v_n,v_x_0,v_y_0) -> eval_start_4(v_m,v_n,v_x_0,v_y_0) True eval_start_4(v_m,v_n,v_x_0,v_y_0) -> eval_start_5(v_m,v_n,v_x_0,v_y_0) True eval_start_5(v_m,v_n,v_x_0,v_y_0) -> eval_start_6(v_m,v_n,v_x_0,v_y_0) True eval_start_6(v_m,v_n,v_x_0,v_y_0) -> eval_start_7(v_m,v_n,v_x_0,v_y_0) True eval_start_7(v_m,v_n,v_x_0,v_y_0) -> eval_start_8(v_m,v_n,v_x_0,v_y_0) True eval_start_8(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb1_in(v_m,v_n,0,0) True eval_start_bb1_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb2_in(v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && -1 + v_n >= v_x_0] eval_start_bb1_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb3_in(v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_x_0 >= 0 && v_x_0 >= v_n] eval_start_bb2_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb1_in(v_m,v_n,1 + v_x_0,1 + v_y_0) [v_x_0 + -1*v_y_0 >= 0 && -1 + v_n + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && -1 + v_n + v_y_0 >= 0 && -1 + v_n + -1*v_x_0 >= 0 && v_x_0 >= 0 && -1 + v_n + v_x_0 >= 0 && -1 + v_n >= 0] eval_start_bb3_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb4_in(v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && -1 + v_m >= v_y_0] eval_start_bb3_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb5_in(v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && v_y_0 >= v_m] eval_start_bb4_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_bb1_in(v_m,v_n,1 + v_x_0,1 + v_y_0) [v_x_0 + -1*v_y_0 >= 0 && -1 + v_m + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && -1 + v_m + v_y_0 >= 0 && -1 + v_m + -1*v_x_0 >= 0 && v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && -1 + v_m + v_x_0 >= 0 && -1 + v_m + -1*v_n >= 0 && -1 + v_m >= 0] eval_start_bb5_in(v_m,v_n,v_x_0,v_y_0) -> eval_start_stop(v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && -1*v_m + v_y_0 >= 0 && v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && -1*v_m + v_x_0 >= 0] eval_start_stop(v_m,v_n,v_x_0,v_y_0) -> exitus616(v_m,v_n,v_x_0,v_y_0) True Signature: {(eval_start_0,4) ;(eval_start_1,4) ;(eval_start_2,4) ;(eval_start_3,4) ;(eval_start_4,4) ;(eval_start_5,4) ;(eval_start_6,4) ;(eval_start_7,4) ;(eval_start_8,4) ;(eval_start_bb0_in,4) ;(eval_start_bb1_in,4) ;(eval_start_bb2_in,4) ;(eval_start_bb3_in,4) ;(eval_start_bb4_in,4) ;(eval_start_bb5_in,4) ;(eval_start_start,4) ;(eval_start_stop,4) ;(exitus616,4)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10},10->{11,12},11->{13},12->{14,15} ,13->{11,12},14->{16},15->{17},16->{12},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:[11,13] c: [11,13] | `- p:[12,16,14] c: [12,14,16]) + Applied Processor: AbstractSize Minimize + Details: () * Step 6: AbstractFlow WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [v_m,v_n,v_x_0,v_y_0,0.0,0.1] eval_start_start ~> eval_start_bb0_in [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_start_bb0_in ~> eval_start_0 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_start_0 ~> eval_start_1 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_start_1 ~> eval_start_2 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_start_2 ~> eval_start_3 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_start_3 ~> eval_start_4 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_start_4 ~> eval_start_5 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_start_5 ~> eval_start_6 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_start_6 ~> eval_start_7 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_start_7 ~> eval_start_8 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_start_8 ~> eval_start_bb1_in [v_m <= v_m, v_n <= v_n, v_x_0 <= 0*K, v_y_0 <= 0*K] eval_start_bb1_in ~> eval_start_bb2_in [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_start_bb1_in ~> eval_start_bb3_in [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_start_bb2_in ~> eval_start_bb1_in [v_m <= v_m, v_n <= v_n, v_x_0 <= v_n, v_y_0 <= v_n] eval_start_bb3_in ~> eval_start_bb4_in [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_start_bb3_in ~> eval_start_bb5_in [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_start_bb4_in ~> eval_start_bb1_in [v_m <= v_m, v_n <= v_n, v_x_0 <= v_m, v_y_0 <= v_m] eval_start_bb5_in ~> eval_start_stop [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_start_stop ~> exitus616 [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] + Loop: [0.0 <= v_n + v_y_0] eval_start_bb1_in ~> eval_start_bb2_in [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_start_bb2_in ~> eval_start_bb1_in [v_m <= v_m, v_n <= v_n, v_x_0 <= v_n, v_y_0 <= v_n] + Loop: [0.1 <= v_m + v_y_0] eval_start_bb1_in ~> eval_start_bb3_in [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_start_bb4_in ~> eval_start_bb1_in [v_m <= v_m, v_n <= v_n, v_x_0 <= v_m, v_y_0 <= v_m] eval_start_bb3_in ~> eval_start_bb4_in [v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] + Applied Processor: AbstractFlow + Details: () * Step 7: Lare WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [tick,huge,K,v_m,v_n,v_x_0,v_y_0,0.0,0.1] 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_6 [] eval_start_6 ~> eval_start_7 [] eval_start_7 ~> eval_start_8 [] eval_start_8 ~> eval_start_bb1_in [K ~=> v_x_0,K ~=> v_y_0] eval_start_bb1_in ~> eval_start_bb2_in [] eval_start_bb1_in ~> eval_start_bb3_in [] eval_start_bb2_in ~> eval_start_bb1_in [v_n ~=> v_x_0,v_n ~=> v_y_0] eval_start_bb3_in ~> eval_start_bb4_in [] eval_start_bb3_in ~> eval_start_bb5_in [] eval_start_bb4_in ~> eval_start_bb1_in [v_m ~=> v_x_0,v_m ~=> v_y_0] eval_start_bb5_in ~> eval_start_stop [] eval_start_stop ~> exitus616 [] + Loop: [v_n ~+> 0.0,v_y_0 ~+> 0.0] eval_start_bb1_in ~> eval_start_bb2_in [] eval_start_bb2_in ~> eval_start_bb1_in [v_n ~=> v_x_0,v_n ~=> v_y_0] + Loop: [v_m ~+> 0.1,v_y_0 ~+> 0.1] eval_start_bb1_in ~> eval_start_bb3_in [] eval_start_bb4_in ~> eval_start_bb1_in [v_m ~=> v_x_0,v_m ~=> v_y_0] eval_start_bb3_in ~> eval_start_bb4_in [] + Applied Processor: Lare + Details: eval_start_start ~> exitus616 [v_m ~=> v_x_0 ,v_m ~=> v_y_0 ,v_n ~=> v_x_0 ,v_n ~=> v_y_0 ,K ~=> v_x_0 ,K ~=> v_y_0 ,v_m ~+> 0.1 ,v_m ~+> tick ,v_n ~+> 0.0 ,v_n ~+> 0.1 ,v_n ~+> tick ,tick ~+> tick ,K ~+> 0.0 ,K ~+> 0.1 ,K ~+> tick ,v_m ~*> 0.1 ,v_m ~*> tick ,v_n ~*> tick ,K ~*> tick] + eval_start_bb1_in> [v_n ~=> v_x_0 ,v_n ~=> v_y_0 ,v_n ~+> 0.0 ,v_n ~+> tick ,v_y_0 ~+> 0.0 ,v_y_0 ~+> tick ,tick ~+> tick] + eval_start_bb3_in> [v_m ~=> v_x_0 ,v_m ~=> v_y_0 ,v_m ~+> 0.1 ,v_m ~+> tick ,v_y_0 ~+> 0.1 ,v_y_0 ~+> tick ,tick ~+> tick] eval_start_bb1_in> [v_m ~=> v_x_0 ,v_m ~=> v_y_0 ,v_m ~+> 0.1 ,v_m ~+> tick ,v_y_0 ~+> 0.1 ,v_y_0 ~+> tick ,tick ~+> tick] YES(?,POLY)