YES(?,O(n^1)) * Step 1: FromIts WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. eval_wcet0_start(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb0_in(v_1,v_i_0,v_j_0,v_j_3,v_n) True (1,1) 1. eval_wcet0_bb0_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_0(v_1,v_i_0,v_j_0,v_j_3,v_n) True (?,1) 2. eval_wcet0_0(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_1(v_1,v_i_0,v_j_0,v_j_3,v_n) True (?,1) 3. eval_wcet0_1(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_2(v_1,v_i_0,v_j_0,v_j_3,v_n) True (?,1) 4. eval_wcet0_2(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_3(v_1,v_i_0,v_j_0,v_j_3,v_n) True (?,1) 5. eval_wcet0_3(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb1_in(v_1,v_n,0,v_j_3,v_n) [v_n >= 1] (?,1) 6. eval_wcet0_3(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb5_in(v_1,v_i_0,v_j_0,v_j_3,v_n) [0 >= v_n] (?,1) 7. eval_wcet0_bb1_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_4(v_1,v_i_0,v_j_0,v_j_3,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0] 8. eval_wcet0_4(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_5(nondef_0,v_i_0,v_j_0,v_j_3,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0] 9. eval_wcet0_5(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb2_in(v_1,v_i_0,v_j_0,v_j_3,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 >= 0] 10. eval_wcet0_5(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb3_in(v_1,v_i_0,v_j_0,v_j_3,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0 && 0 >= v_1] 11. eval_wcet0_bb2_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,0,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -2 + v_1 + v_n >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0 && 1 + v_j_0 >= v_n] 12. eval_wcet0_bb2_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,1 + v_j_0,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -2 + v_1 + v_n >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0 && -1 + v_n >= 1 + v_j_0] 13. eval_wcet0_bb3_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,0,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_1 >= 0 && -1*v_n >= -1 + v_j_0] 14. eval_wcet0_bb3_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,-1 + v_j_0,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_1 >= 0 && -2 + v_j_0 >= -1*v_n] 15. eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb1_in(v_1,-1 + v_i_0,v_j_3,v_j_3,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_3 + v_n >= 0 && -1 + -1*v_j_3 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0 && -2 + v_i_0 >= 0] 16. eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb5_in(v_1,v_i_0,v_j_0,v_j_3,v_n) [-1 + v_n >= 0 (?,1) && -1 + v_j_3 + v_n >= 0 && -1 + -1*v_j_3 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0 && 0 >= -1 + v_i_0] 17. eval_wcet0_bb5_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_stop(v_1,v_i_0,v_j_0,v_j_3,v_n) True (?,1) Signature: {(eval_wcet0_0,5) ;(eval_wcet0_1,5) ;(eval_wcet0_2,5) ;(eval_wcet0_3,5) ;(eval_wcet0_4,5) ;(eval_wcet0_5,5) ;(eval_wcet0_bb0_in,5) ;(eval_wcet0_bb1_in,5) ;(eval_wcet0_bb2_in,5) ;(eval_wcet0_bb3_in,5) ;(eval_wcet0_bb4_in,5) ;(eval_wcet0_bb5_in,5) ;(eval_wcet0_start,5) ;(eval_wcet0_stop,5)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5,6},5->{7},6->{17},7->{8},8->{9,10},9->{11,12},10->{13,14},11->{15,16} ,12->{15,16},13->{15,16},14->{15,16},15->{7},16->{17},17->{}] + Applied Processor: FromIts + Details: () * Step 2: AddSinks WORST_CASE(?,O(n^1)) + Considered Problem: Rules: eval_wcet0_start(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb0_in(v_1,v_i_0,v_j_0,v_j_3,v_n) True eval_wcet0_bb0_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_0(v_1,v_i_0,v_j_0,v_j_3,v_n) True eval_wcet0_0(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_1(v_1,v_i_0,v_j_0,v_j_3,v_n) True eval_wcet0_1(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_2(v_1,v_i_0,v_j_0,v_j_3,v_n) True eval_wcet0_2(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_3(v_1,v_i_0,v_j_0,v_j_3,v_n) True eval_wcet0_3(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb1_in(v_1,v_n,0,v_j_3,v_n) [v_n >= 1] eval_wcet0_3(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb5_in(v_1,v_i_0,v_j_0,v_j_3,v_n) [0 >= v_n] eval_wcet0_bb1_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_4(v_1,v_i_0,v_j_0,v_j_3,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0] eval_wcet0_4(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_5(nondef_0,v_i_0,v_j_0,v_j_3,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0] eval_wcet0_5(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb2_in(v_1,v_i_0,v_j_0,v_j_3,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 >= 0] eval_wcet0_5(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb3_in(v_1,v_i_0,v_j_0,v_j_3,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0 && 0 >= v_1] eval_wcet0_bb2_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,0,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -2 + v_1 + v_n >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0 && 1 + v_j_0 >= v_n] eval_wcet0_bb2_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,1 + v_j_0,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -2 + v_1 + v_n >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0 && -1 + v_n >= 1 + v_j_0] eval_wcet0_bb3_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,0,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_1 >= 0 && -1*v_n >= -1 + v_j_0] eval_wcet0_bb3_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,-1 + v_j_0,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_1 >= 0 && -2 + v_j_0 >= -1*v_n] eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb1_in(v_1,-1 + v_i_0,v_j_3,v_j_3,v_n) [-1 + v_n >= 0 && -1 + v_j_3 + v_n >= 0 && -1 + -1*v_j_3 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0 && -2 + v_i_0 >= 0] eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb5_in(v_1,v_i_0,v_j_0,v_j_3,v_n) [-1 + v_n >= 0 && -1 + v_j_3 + v_n >= 0 && -1 + -1*v_j_3 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0 && 0 >= -1 + v_i_0] eval_wcet0_bb5_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_stop(v_1,v_i_0,v_j_0,v_j_3,v_n) True Signature: {(eval_wcet0_0,5) ;(eval_wcet0_1,5) ;(eval_wcet0_2,5) ;(eval_wcet0_3,5) ;(eval_wcet0_4,5) ;(eval_wcet0_5,5) ;(eval_wcet0_bb0_in,5) ;(eval_wcet0_bb1_in,5) ;(eval_wcet0_bb2_in,5) ;(eval_wcet0_bb3_in,5) ;(eval_wcet0_bb4_in,5) ;(eval_wcet0_bb5_in,5) ;(eval_wcet0_start,5) ;(eval_wcet0_stop,5)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5,6},5->{7},6->{17},7->{8},8->{9,10},9->{11,12},10->{13,14},11->{15,16} ,12->{15,16},13->{15,16},14->{15,16},15->{7},16->{17},17->{}] + Applied Processor: AddSinks + Details: () * Step 3: Decompose WORST_CASE(?,O(n^1)) + Considered Problem: Rules: eval_wcet0_start(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb0_in(v_1,v_i_0,v_j_0,v_j_3,v_n) True eval_wcet0_bb0_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_0(v_1,v_i_0,v_j_0,v_j_3,v_n) True eval_wcet0_0(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_1(v_1,v_i_0,v_j_0,v_j_3,v_n) True eval_wcet0_1(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_2(v_1,v_i_0,v_j_0,v_j_3,v_n) True eval_wcet0_2(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_3(v_1,v_i_0,v_j_0,v_j_3,v_n) True eval_wcet0_3(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb1_in(v_1,v_n,0,v_j_3,v_n) [v_n >= 1] eval_wcet0_3(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb5_in(v_1,v_i_0,v_j_0,v_j_3,v_n) [0 >= v_n] eval_wcet0_bb1_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_4(v_1,v_i_0,v_j_0,v_j_3,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0] eval_wcet0_4(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_5(nondef_0,v_i_0,v_j_0,v_j_3,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0] eval_wcet0_5(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb2_in(v_1,v_i_0,v_j_0,v_j_3,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 >= 0] eval_wcet0_5(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb3_in(v_1,v_i_0,v_j_0,v_j_3,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0 && 0 >= v_1] eval_wcet0_bb2_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,0,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -2 + v_1 + v_n >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0 && 1 + v_j_0 >= v_n] eval_wcet0_bb2_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,1 + v_j_0,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -2 + v_1 + v_n >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0 && -1 + v_n >= 1 + v_j_0] eval_wcet0_bb3_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,0,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_1 >= 0 && -1*v_n >= -1 + v_j_0] eval_wcet0_bb3_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,-1 + v_j_0,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_1 >= 0 && -2 + v_j_0 >= -1*v_n] eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb1_in(v_1,-1 + v_i_0,v_j_3,v_j_3,v_n) [-1 + v_n >= 0 && -1 + v_j_3 + v_n >= 0 && -1 + -1*v_j_3 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0 && -2 + v_i_0 >= 0] eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb5_in(v_1,v_i_0,v_j_0,v_j_3,v_n) [-1 + v_n >= 0 && -1 + v_j_3 + v_n >= 0 && -1 + -1*v_j_3 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0 && 0 >= -1 + v_i_0] eval_wcet0_bb5_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_stop(v_1,v_i_0,v_j_0,v_j_3,v_n) True eval_wcet0_stop(v_1,v_i_0,v_j_0,v_j_3,v_n) -> exitus616(v_1,v_i_0,v_j_0,v_j_3,v_n) True eval_wcet0_stop(v_1,v_i_0,v_j_0,v_j_3,v_n) -> exitus616(v_1,v_i_0,v_j_0,v_j_3,v_n) True Signature: {(eval_wcet0_0,5) ;(eval_wcet0_1,5) ;(eval_wcet0_2,5) ;(eval_wcet0_3,5) ;(eval_wcet0_4,5) ;(eval_wcet0_5,5) ;(eval_wcet0_bb0_in,5) ;(eval_wcet0_bb1_in,5) ;(eval_wcet0_bb2_in,5) ;(eval_wcet0_bb3_in,5) ;(eval_wcet0_bb4_in,5) ;(eval_wcet0_bb5_in,5) ;(eval_wcet0_start,5) ;(eval_wcet0_stop,5) ;(exitus616,5)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5,6},5->{7},6->{17},7->{8},8->{9,10},9->{11,12},10->{13,14},11->{15,16} ,12->{15,16},13->{15,16},14->{15,16},15->{7},16->{17},17->{18,19}] + 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] | `- p:[7,15,11,9,8,12,13,10,14] c: [7,8,9,10,11,12,13,14,15] * Step 4: AbstractSize WORST_CASE(?,O(n^1)) + Considered Problem: (Rules: eval_wcet0_start(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb0_in(v_1,v_i_0,v_j_0,v_j_3,v_n) True eval_wcet0_bb0_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_0(v_1,v_i_0,v_j_0,v_j_3,v_n) True eval_wcet0_0(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_1(v_1,v_i_0,v_j_0,v_j_3,v_n) True eval_wcet0_1(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_2(v_1,v_i_0,v_j_0,v_j_3,v_n) True eval_wcet0_2(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_3(v_1,v_i_0,v_j_0,v_j_3,v_n) True eval_wcet0_3(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb1_in(v_1,v_n,0,v_j_3,v_n) [v_n >= 1] eval_wcet0_3(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb5_in(v_1,v_i_0,v_j_0,v_j_3,v_n) [0 >= v_n] eval_wcet0_bb1_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_4(v_1,v_i_0,v_j_0,v_j_3,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0] eval_wcet0_4(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_5(nondef_0,v_i_0,v_j_0,v_j_3,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0] eval_wcet0_5(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb2_in(v_1,v_i_0,v_j_0,v_j_3,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0 && -1 + v_1 >= 0] eval_wcet0_5(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb3_in(v_1,v_i_0,v_j_0,v_j_3,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0 && 0 >= v_1] eval_wcet0_bb2_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,0,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -2 + v_1 + v_n >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0 && 1 + v_j_0 >= v_n] eval_wcet0_bb2_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,1 + v_j_0,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -2 + v_1 + v_n >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0 && -1 + v_n >= 1 + v_j_0] eval_wcet0_bb3_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,0,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_1 >= 0 && -1*v_n >= -1 + v_j_0] eval_wcet0_bb3_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,-1 + v_j_0,v_n) [-1 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -1 + v_i_0 >= 0 && -1 + -1*v_1 + v_i_0 >= 0 && -1*v_1 >= 0 && -2 + v_j_0 >= -1*v_n] eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb1_in(v_1,-1 + v_i_0,v_j_3,v_j_3,v_n) [-1 + v_n >= 0 && -1 + v_j_3 + v_n >= 0 && -1 + -1*v_j_3 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0 && -2 + v_i_0 >= 0] eval_wcet0_bb4_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_bb5_in(v_1,v_i_0,v_j_0,v_j_3,v_n) [-1 + v_n >= 0 && -1 + v_j_3 + v_n >= 0 && -1 + -1*v_j_3 + v_n >= 0 && -1 + v_j_0 + v_n >= 0 && -1 + -1*v_j_0 + v_n >= 0 && -2 + v_i_0 + v_n >= 0 && -1*v_i_0 + v_n >= 0 && -1 + v_i_0 >= 0 && 0 >= -1 + v_i_0] eval_wcet0_bb5_in(v_1,v_i_0,v_j_0,v_j_3,v_n) -> eval_wcet0_stop(v_1,v_i_0,v_j_0,v_j_3,v_n) True eval_wcet0_stop(v_1,v_i_0,v_j_0,v_j_3,v_n) -> exitus616(v_1,v_i_0,v_j_0,v_j_3,v_n) True eval_wcet0_stop(v_1,v_i_0,v_j_0,v_j_3,v_n) -> exitus616(v_1,v_i_0,v_j_0,v_j_3,v_n) True Signature: {(eval_wcet0_0,5) ;(eval_wcet0_1,5) ;(eval_wcet0_2,5) ;(eval_wcet0_3,5) ;(eval_wcet0_4,5) ;(eval_wcet0_5,5) ;(eval_wcet0_bb0_in,5) ;(eval_wcet0_bb1_in,5) ;(eval_wcet0_bb2_in,5) ;(eval_wcet0_bb3_in,5) ;(eval_wcet0_bb4_in,5) ;(eval_wcet0_bb5_in,5) ;(eval_wcet0_start,5) ;(eval_wcet0_stop,5) ;(exitus616,5)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5,6},5->{7},6->{17},7->{8},8->{9,10},9->{11,12},10->{13,14},11->{15,16} ,12->{15,16},13->{15,16},14->{15,16},15->{7},16->{17},17->{18,19}] ,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] | `- p:[7,15,11,9,8,12,13,10,14] c: [7,8,9,10,11,12,13,14,15]) + Applied Processor: AbstractSize Minimize + Details: () * Step 5: AbstractFlow WORST_CASE(?,O(n^1)) + Considered Problem: Program: Domain: [v_1,v_i_0,v_j_0,v_j_3,v_n,0.0] eval_wcet0_start ~> eval_wcet0_bb0_in [v_1 <= v_1, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_j_3 <= v_j_3, v_n <= v_n] eval_wcet0_bb0_in ~> eval_wcet0_0 [v_1 <= v_1, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_j_3 <= v_j_3, v_n <= v_n] eval_wcet0_0 ~> eval_wcet0_1 [v_1 <= v_1, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_j_3 <= v_j_3, v_n <= v_n] eval_wcet0_1 ~> eval_wcet0_2 [v_1 <= v_1, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_j_3 <= v_j_3, v_n <= v_n] eval_wcet0_2 ~> eval_wcet0_3 [v_1 <= v_1, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_j_3 <= v_j_3, v_n <= v_n] eval_wcet0_3 ~> eval_wcet0_bb1_in [v_1 <= v_1, v_i_0 <= v_n, v_j_0 <= 0*K, v_j_3 <= v_j_3, v_n <= v_n] eval_wcet0_3 ~> eval_wcet0_bb5_in [v_1 <= v_1, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_j_3 <= v_j_3, v_n <= v_n] eval_wcet0_bb1_in ~> eval_wcet0_4 [v_1 <= v_1, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_j_3 <= v_j_3, v_n <= v_n] eval_wcet0_4 ~> eval_wcet0_5 [v_1 <= unknown, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_j_3 <= v_j_3, v_n <= v_n] eval_wcet0_5 ~> eval_wcet0_bb2_in [v_1 <= v_1, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_j_3 <= v_j_3, v_n <= v_n] eval_wcet0_5 ~> eval_wcet0_bb3_in [v_1 <= v_1, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_j_3 <= v_j_3, v_n <= v_n] eval_wcet0_bb2_in ~> eval_wcet0_bb4_in [v_1 <= v_1, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_j_3 <= 0*K, v_n <= v_n] eval_wcet0_bb2_in ~> eval_wcet0_bb4_in [v_1 <= v_1, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_j_3 <= v_n, v_n <= v_n] eval_wcet0_bb3_in ~> eval_wcet0_bb4_in [v_1 <= v_1, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_j_3 <= 0*K, v_n <= v_n] eval_wcet0_bb3_in ~> eval_wcet0_bb4_in [v_1 <= v_1, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_j_3 <= v_n, v_n <= v_n] eval_wcet0_bb4_in ~> eval_wcet0_bb1_in [v_1 <= v_1, v_i_0 <= v_n, v_j_0 <= v_j_3, v_j_3 <= v_j_3, v_n <= v_n] eval_wcet0_bb4_in ~> eval_wcet0_bb5_in [v_1 <= v_1, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_j_3 <= v_j_3, v_n <= v_n] eval_wcet0_bb5_in ~> eval_wcet0_stop [v_1 <= v_1, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_j_3 <= v_j_3, v_n <= v_n] eval_wcet0_stop ~> exitus616 [v_1 <= v_1, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_j_3 <= v_j_3, v_n <= v_n] eval_wcet0_stop ~> exitus616 [v_1 <= v_1, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_j_3 <= v_j_3, v_n <= v_n] + Loop: [0.0 <= K + v_i_0] eval_wcet0_bb1_in ~> eval_wcet0_4 [v_1 <= v_1, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_j_3 <= v_j_3, v_n <= v_n] eval_wcet0_bb4_in ~> eval_wcet0_bb1_in [v_1 <= v_1, v_i_0 <= v_n, v_j_0 <= v_j_3, v_j_3 <= v_j_3, v_n <= v_n] eval_wcet0_bb2_in ~> eval_wcet0_bb4_in [v_1 <= v_1, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_j_3 <= 0*K, v_n <= v_n] eval_wcet0_5 ~> eval_wcet0_bb2_in [v_1 <= v_1, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_j_3 <= v_j_3, v_n <= v_n] eval_wcet0_4 ~> eval_wcet0_5 [v_1 <= unknown, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_j_3 <= v_j_3, v_n <= v_n] eval_wcet0_bb2_in ~> eval_wcet0_bb4_in [v_1 <= v_1, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_j_3 <= v_n, v_n <= v_n] eval_wcet0_bb3_in ~> eval_wcet0_bb4_in [v_1 <= v_1, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_j_3 <= 0*K, v_n <= v_n] eval_wcet0_5 ~> eval_wcet0_bb3_in [v_1 <= v_1, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_j_3 <= v_j_3, v_n <= v_n] eval_wcet0_bb3_in ~> eval_wcet0_bb4_in [v_1 <= v_1, v_i_0 <= v_i_0, v_j_0 <= v_j_0, v_j_3 <= v_n, v_n <= v_n] + Applied Processor: AbstractFlow + Details: () * Step 6: Lare WORST_CASE(?,O(n^1)) + Considered Problem: Program: Domain: [tick,huge,K,v_1,v_i_0,v_j_0,v_j_3,v_n,0.0] eval_wcet0_start ~> eval_wcet0_bb0_in [] eval_wcet0_bb0_in ~> eval_wcet0_0 [] eval_wcet0_0 ~> eval_wcet0_1 [] eval_wcet0_1 ~> eval_wcet0_2 [] eval_wcet0_2 ~> eval_wcet0_3 [] eval_wcet0_3 ~> eval_wcet0_bb1_in [v_n ~=> v_i_0,K ~=> v_j_0] eval_wcet0_3 ~> eval_wcet0_bb5_in [] eval_wcet0_bb1_in ~> eval_wcet0_4 [] eval_wcet0_4 ~> eval_wcet0_5 [huge ~=> v_1] eval_wcet0_5 ~> eval_wcet0_bb2_in [] eval_wcet0_5 ~> eval_wcet0_bb3_in [] eval_wcet0_bb2_in ~> eval_wcet0_bb4_in [K ~=> v_j_3] eval_wcet0_bb2_in ~> eval_wcet0_bb4_in [v_n ~=> v_j_3] eval_wcet0_bb3_in ~> eval_wcet0_bb4_in [K ~=> v_j_3] eval_wcet0_bb3_in ~> eval_wcet0_bb4_in [v_n ~=> v_j_3] eval_wcet0_bb4_in ~> eval_wcet0_bb1_in [v_j_3 ~=> v_j_0,v_n ~=> v_i_0] eval_wcet0_bb4_in ~> eval_wcet0_bb5_in [] eval_wcet0_bb5_in ~> eval_wcet0_stop [] eval_wcet0_stop ~> exitus616 [] eval_wcet0_stop ~> exitus616 [] + Loop: [v_i_0 ~+> 0.0,K ~+> 0.0] eval_wcet0_bb1_in ~> eval_wcet0_4 [] eval_wcet0_bb4_in ~> eval_wcet0_bb1_in [v_j_3 ~=> v_j_0,v_n ~=> v_i_0] eval_wcet0_bb2_in ~> eval_wcet0_bb4_in [K ~=> v_j_3] eval_wcet0_5 ~> eval_wcet0_bb2_in [] eval_wcet0_4 ~> eval_wcet0_5 [huge ~=> v_1] eval_wcet0_bb2_in ~> eval_wcet0_bb4_in [v_n ~=> v_j_3] eval_wcet0_bb3_in ~> eval_wcet0_bb4_in [K ~=> v_j_3] eval_wcet0_5 ~> eval_wcet0_bb3_in [] eval_wcet0_bb3_in ~> eval_wcet0_bb4_in [v_n ~=> v_j_3] + Applied Processor: Lare + Details: eval_wcet0_start ~> exitus616 [v_n ~=> v_i_0 ,v_n ~=> v_j_0 ,v_n ~=> v_j_3 ,K ~=> v_j_0 ,K ~=> v_j_3 ,huge ~=> v_1 ,v_n ~+> 0.0 ,v_n ~+> tick ,tick ~+> tick ,K ~+> 0.0 ,K ~+> tick] + eval_wcet0_bb4_in> [v_n ~=> v_i_0 ,v_n ~=> v_j_0 ,v_n ~=> v_j_3 ,K ~=> v_j_0 ,K ~=> v_j_3 ,huge ~=> v_1 ,v_i_0 ~+> 0.0 ,v_i_0 ~+> tick ,tick ~+> tick ,K ~+> 0.0 ,K ~+> tick] YES(?,O(n^1))