YES(?,POLY) * Step 1: UnsatPaths WORST_CASE(?,POLY) + Considered Problem: Rules: 0. eval_wcet2_start(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb0_in(v__0,v_4,v_i,v_j_0) True (1,1) 1. eval_wcet2_bb0_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_0(v__0,v_4,v_i,v_j_0) True (?,1) 2. eval_wcet2_0(v__0,v_4,v_i,v_j_0) -> eval_wcet2_1(v__0,v_4,v_i,v_j_0) True (?,1) 3. eval_wcet2_1(v__0,v_4,v_i,v_j_0) -> eval_wcet2_2(v__0,v_4,v_i,v_j_0) True (?,1) 4. eval_wcet2_2(v__0,v_4,v_i,v_j_0) -> eval_wcet2_3(v__0,v_4,v_i,v_j_0) True (?,1) 5. eval_wcet2_3(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb1_in(v_i,v_4,v_i,v_j_0) True (?,1) 6. eval_wcet2_bb1_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb2_in(v__0,v_4,v_i,0) [v__0 + -1*v_i >= 0 && 4 >= v__0] (?,1) 7. eval_wcet2_bb1_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb5_in(v__0,v_4,v_i,v_j_0) [v__0 + -1*v_i >= 0 && v__0 >= 5] (?,1) 8. eval_wcet2_bb2_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb3_in(v__0,v_4,v_i,v_j_0) [v_j_0 >= 0 (?,1) && 4 + -1*v_i + v_j_0 >= 0 && 4 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 4 + -1*v__0 >= 0 && -1 + v__0 >= 2 && 9 >= v_j_0] 9. eval_wcet2_bb2_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb4_in(v__0,v_4,v_i,v_j_0) [v_j_0 >= 0 (?,1) && 4 + -1*v_i + v_j_0 >= 0 && 4 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 4 + -1*v__0 >= 0 && 2 >= v__0] 10. eval_wcet2_bb2_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb4_in(v__0,v_4,v_i,v_j_0) [v_j_0 >= 0 (?,1) && 4 + -1*v_i + v_j_0 >= 0 && 4 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 4 + -1*v__0 >= 0 && -1 + v_j_0 >= 9] 11. eval_wcet2_bb3_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb2_in(v__0,v_4,v_i,1 + v_j_0) [9 + -1*v_j_0 >= 0 (?,1) && 13 + -1*v_i + -1*v_j_0 >= 0 && 6 + v__0 + -1*v_j_0 >= 0 && 13 + -1*v__0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && 4 + -1*v_i + v_j_0 >= 0 && -3 + v__0 + v_j_0 >= 0 && 4 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 4 + -1*v__0 >= 0 && -3 + v__0 >= 0] 12. eval_wcet2_bb4_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_7(v__0,1 + v__0,v_i,v_j_0) [v_j_0 >= 0 (?,1) && 2 + -1*v_i + v_j_0 >= 0 && 2 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 4 + -1*v__0 >= 0] 13. eval_wcet2_7(v__0,v_4,v_i,v_j_0) -> eval_wcet2_8(v__0,v_4,v_i,v_j_0) [v_j_0 >= 0 (?,1) && 2 + -1*v_i + v_j_0 >= 0 && 3 + -1*v_4 + v_j_0 >= 0 && 2 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && -1 + v_4 + -1*v_i >= 0 && 9 + -1*v_4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 5 + -1*v_4 >= 0 && 1 + -1*v_4 + v__0 >= 0 && 9 + -1*v_4 + -1*v__0 >= 0 && -1 + v_4 + -1*v__0 >= 0 && 4 + -1*v__0 >= 0] 14. eval_wcet2_8(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb1_in(v_4,v_4,v_i,v_j_0) [v_j_0 >= 0 (?,1) && 2 + -1*v_i + v_j_0 >= 0 && 3 + -1*v_4 + v_j_0 >= 0 && 2 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && -1 + v_4 + -1*v_i >= 0 && 9 + -1*v_4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 5 + -1*v_4 >= 0 && 1 + -1*v_4 + v__0 >= 0 && 9 + -1*v_4 + -1*v__0 >= 0 && -1 + v_4 + -1*v__0 >= 0 && 4 + -1*v__0 >= 0] 15. eval_wcet2_bb5_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_stop(v__0,v_4,v_i,v_j_0) [v__0 + -1*v_i >= 0 && -5 + v__0 >= 0] (?,1) Signature: {(eval_wcet2_0,4) ;(eval_wcet2_1,4) ;(eval_wcet2_2,4) ;(eval_wcet2_3,4) ;(eval_wcet2_7,4) ;(eval_wcet2_8,4) ;(eval_wcet2_bb0_in,4) ;(eval_wcet2_bb1_in,4) ;(eval_wcet2_bb2_in,4) ;(eval_wcet2_bb3_in,4) ;(eval_wcet2_bb4_in,4) ;(eval_wcet2_bb5_in,4) ;(eval_wcet2_start,4) ;(eval_wcet2_stop,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6,7},6->{8,9,10},7->{15},8->{11},9->{12},10->{12},11->{8,9,10} ,12->{13},13->{14},14->{6,7},15->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(6,10),(11,9)] * Step 2: FromIts WORST_CASE(?,POLY) + Considered Problem: Rules: 0. eval_wcet2_start(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb0_in(v__0,v_4,v_i,v_j_0) True (1,1) 1. eval_wcet2_bb0_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_0(v__0,v_4,v_i,v_j_0) True (?,1) 2. eval_wcet2_0(v__0,v_4,v_i,v_j_0) -> eval_wcet2_1(v__0,v_4,v_i,v_j_0) True (?,1) 3. eval_wcet2_1(v__0,v_4,v_i,v_j_0) -> eval_wcet2_2(v__0,v_4,v_i,v_j_0) True (?,1) 4. eval_wcet2_2(v__0,v_4,v_i,v_j_0) -> eval_wcet2_3(v__0,v_4,v_i,v_j_0) True (?,1) 5. eval_wcet2_3(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb1_in(v_i,v_4,v_i,v_j_0) True (?,1) 6. eval_wcet2_bb1_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb2_in(v__0,v_4,v_i,0) [v__0 + -1*v_i >= 0 && 4 >= v__0] (?,1) 7. eval_wcet2_bb1_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb5_in(v__0,v_4,v_i,v_j_0) [v__0 + -1*v_i >= 0 && v__0 >= 5] (?,1) 8. eval_wcet2_bb2_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb3_in(v__0,v_4,v_i,v_j_0) [v_j_0 >= 0 (?,1) && 4 + -1*v_i + v_j_0 >= 0 && 4 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 4 + -1*v__0 >= 0 && -1 + v__0 >= 2 && 9 >= v_j_0] 9. eval_wcet2_bb2_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb4_in(v__0,v_4,v_i,v_j_0) [v_j_0 >= 0 (?,1) && 4 + -1*v_i + v_j_0 >= 0 && 4 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 4 + -1*v__0 >= 0 && 2 >= v__0] 10. eval_wcet2_bb2_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb4_in(v__0,v_4,v_i,v_j_0) [v_j_0 >= 0 (?,1) && 4 + -1*v_i + v_j_0 >= 0 && 4 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 4 + -1*v__0 >= 0 && -1 + v_j_0 >= 9] 11. eval_wcet2_bb3_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb2_in(v__0,v_4,v_i,1 + v_j_0) [9 + -1*v_j_0 >= 0 (?,1) && 13 + -1*v_i + -1*v_j_0 >= 0 && 6 + v__0 + -1*v_j_0 >= 0 && 13 + -1*v__0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && 4 + -1*v_i + v_j_0 >= 0 && -3 + v__0 + v_j_0 >= 0 && 4 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 4 + -1*v__0 >= 0 && -3 + v__0 >= 0] 12. eval_wcet2_bb4_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_7(v__0,1 + v__0,v_i,v_j_0) [v_j_0 >= 0 (?,1) && 2 + -1*v_i + v_j_0 >= 0 && 2 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 4 + -1*v__0 >= 0] 13. eval_wcet2_7(v__0,v_4,v_i,v_j_0) -> eval_wcet2_8(v__0,v_4,v_i,v_j_0) [v_j_0 >= 0 (?,1) && 2 + -1*v_i + v_j_0 >= 0 && 3 + -1*v_4 + v_j_0 >= 0 && 2 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && -1 + v_4 + -1*v_i >= 0 && 9 + -1*v_4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 5 + -1*v_4 >= 0 && 1 + -1*v_4 + v__0 >= 0 && 9 + -1*v_4 + -1*v__0 >= 0 && -1 + v_4 + -1*v__0 >= 0 && 4 + -1*v__0 >= 0] 14. eval_wcet2_8(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb1_in(v_4,v_4,v_i,v_j_0) [v_j_0 >= 0 (?,1) && 2 + -1*v_i + v_j_0 >= 0 && 3 + -1*v_4 + v_j_0 >= 0 && 2 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && -1 + v_4 + -1*v_i >= 0 && 9 + -1*v_4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 5 + -1*v_4 >= 0 && 1 + -1*v_4 + v__0 >= 0 && 9 + -1*v_4 + -1*v__0 >= 0 && -1 + v_4 + -1*v__0 >= 0 && 4 + -1*v__0 >= 0] 15. eval_wcet2_bb5_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_stop(v__0,v_4,v_i,v_j_0) [v__0 + -1*v_i >= 0 && -5 + v__0 >= 0] (?,1) Signature: {(eval_wcet2_0,4) ;(eval_wcet2_1,4) ;(eval_wcet2_2,4) ;(eval_wcet2_3,4) ;(eval_wcet2_7,4) ;(eval_wcet2_8,4) ;(eval_wcet2_bb0_in,4) ;(eval_wcet2_bb1_in,4) ;(eval_wcet2_bb2_in,4) ;(eval_wcet2_bb3_in,4) ;(eval_wcet2_bb4_in,4) ;(eval_wcet2_bb5_in,4) ;(eval_wcet2_start,4) ;(eval_wcet2_stop,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6,7},6->{8,9},7->{15},8->{11},9->{12},10->{12},11->{8,10},12->{13} ,13->{14},14->{6,7},15->{}] + Applied Processor: FromIts + Details: () * Step 3: AddSinks WORST_CASE(?,POLY) + Considered Problem: Rules: eval_wcet2_start(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb0_in(v__0,v_4,v_i,v_j_0) True eval_wcet2_bb0_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_0(v__0,v_4,v_i,v_j_0) True eval_wcet2_0(v__0,v_4,v_i,v_j_0) -> eval_wcet2_1(v__0,v_4,v_i,v_j_0) True eval_wcet2_1(v__0,v_4,v_i,v_j_0) -> eval_wcet2_2(v__0,v_4,v_i,v_j_0) True eval_wcet2_2(v__0,v_4,v_i,v_j_0) -> eval_wcet2_3(v__0,v_4,v_i,v_j_0) True eval_wcet2_3(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb1_in(v_i,v_4,v_i,v_j_0) True eval_wcet2_bb1_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb2_in(v__0,v_4,v_i,0) [v__0 + -1*v_i >= 0 && 4 >= v__0] eval_wcet2_bb1_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb5_in(v__0,v_4,v_i,v_j_0) [v__0 + -1*v_i >= 0 && v__0 >= 5] eval_wcet2_bb2_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb3_in(v__0,v_4,v_i,v_j_0) [v_j_0 >= 0 && 4 + -1*v_i + v_j_0 >= 0 && 4 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 4 + -1*v__0 >= 0 && -1 + v__0 >= 2 && 9 >= v_j_0] eval_wcet2_bb2_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb4_in(v__0,v_4,v_i,v_j_0) [v_j_0 >= 0 && 4 + -1*v_i + v_j_0 >= 0 && 4 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 4 + -1*v__0 >= 0 && 2 >= v__0] eval_wcet2_bb2_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb4_in(v__0,v_4,v_i,v_j_0) [v_j_0 >= 0 && 4 + -1*v_i + v_j_0 >= 0 && 4 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 4 + -1*v__0 >= 0 && -1 + v_j_0 >= 9] eval_wcet2_bb3_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb2_in(v__0,v_4,v_i,1 + v_j_0) [9 + -1*v_j_0 >= 0 && 13 + -1*v_i + -1*v_j_0 >= 0 && 6 + v__0 + -1*v_j_0 >= 0 && 13 + -1*v__0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && 4 + -1*v_i + v_j_0 >= 0 && -3 + v__0 + v_j_0 >= 0 && 4 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 4 + -1*v__0 >= 0 && -3 + v__0 >= 0] eval_wcet2_bb4_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_7(v__0,1 + v__0,v_i,v_j_0) [v_j_0 >= 0 && 2 + -1*v_i + v_j_0 >= 0 && 2 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 4 + -1*v__0 >= 0] eval_wcet2_7(v__0,v_4,v_i,v_j_0) -> eval_wcet2_8(v__0,v_4,v_i,v_j_0) [v_j_0 >= 0 && 2 + -1*v_i + v_j_0 >= 0 && 3 + -1*v_4 + v_j_0 >= 0 && 2 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && -1 + v_4 + -1*v_i >= 0 && 9 + -1*v_4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 5 + -1*v_4 >= 0 && 1 + -1*v_4 + v__0 >= 0 && 9 + -1*v_4 + -1*v__0 >= 0 && -1 + v_4 + -1*v__0 >= 0 && 4 + -1*v__0 >= 0] eval_wcet2_8(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb1_in(v_4,v_4,v_i,v_j_0) [v_j_0 >= 0 && 2 + -1*v_i + v_j_0 >= 0 && 3 + -1*v_4 + v_j_0 >= 0 && 2 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && -1 + v_4 + -1*v_i >= 0 && 9 + -1*v_4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 5 + -1*v_4 >= 0 && 1 + -1*v_4 + v__0 >= 0 && 9 + -1*v_4 + -1*v__0 >= 0 && -1 + v_4 + -1*v__0 >= 0 && 4 + -1*v__0 >= 0] eval_wcet2_bb5_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_stop(v__0,v_4,v_i,v_j_0) [v__0 + -1*v_i >= 0 && -5 + v__0 >= 0] Signature: {(eval_wcet2_0,4) ;(eval_wcet2_1,4) ;(eval_wcet2_2,4) ;(eval_wcet2_3,4) ;(eval_wcet2_7,4) ;(eval_wcet2_8,4) ;(eval_wcet2_bb0_in,4) ;(eval_wcet2_bb1_in,4) ;(eval_wcet2_bb2_in,4) ;(eval_wcet2_bb3_in,4) ;(eval_wcet2_bb4_in,4) ;(eval_wcet2_bb5_in,4) ;(eval_wcet2_start,4) ;(eval_wcet2_stop,4)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6,7},6->{8,9},7->{15},8->{11},9->{12},10->{12},11->{8,10},12->{13} ,13->{14},14->{6,7},15->{}] + Applied Processor: AddSinks + Details: () * Step 4: Decompose WORST_CASE(?,POLY) + Considered Problem: Rules: eval_wcet2_start(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb0_in(v__0,v_4,v_i,v_j_0) True eval_wcet2_bb0_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_0(v__0,v_4,v_i,v_j_0) True eval_wcet2_0(v__0,v_4,v_i,v_j_0) -> eval_wcet2_1(v__0,v_4,v_i,v_j_0) True eval_wcet2_1(v__0,v_4,v_i,v_j_0) -> eval_wcet2_2(v__0,v_4,v_i,v_j_0) True eval_wcet2_2(v__0,v_4,v_i,v_j_0) -> eval_wcet2_3(v__0,v_4,v_i,v_j_0) True eval_wcet2_3(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb1_in(v_i,v_4,v_i,v_j_0) True eval_wcet2_bb1_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb2_in(v__0,v_4,v_i,0) [v__0 + -1*v_i >= 0 && 4 >= v__0] eval_wcet2_bb1_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb5_in(v__0,v_4,v_i,v_j_0) [v__0 + -1*v_i >= 0 && v__0 >= 5] eval_wcet2_bb2_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb3_in(v__0,v_4,v_i,v_j_0) [v_j_0 >= 0 && 4 + -1*v_i + v_j_0 >= 0 && 4 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 4 + -1*v__0 >= 0 && -1 + v__0 >= 2 && 9 >= v_j_0] eval_wcet2_bb2_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb4_in(v__0,v_4,v_i,v_j_0) [v_j_0 >= 0 && 4 + -1*v_i + v_j_0 >= 0 && 4 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 4 + -1*v__0 >= 0 && 2 >= v__0] eval_wcet2_bb2_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb4_in(v__0,v_4,v_i,v_j_0) [v_j_0 >= 0 && 4 + -1*v_i + v_j_0 >= 0 && 4 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 4 + -1*v__0 >= 0 && -1 + v_j_0 >= 9] eval_wcet2_bb3_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb2_in(v__0,v_4,v_i,1 + v_j_0) [9 + -1*v_j_0 >= 0 && 13 + -1*v_i + -1*v_j_0 >= 0 && 6 + v__0 + -1*v_j_0 >= 0 && 13 + -1*v__0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && 4 + -1*v_i + v_j_0 >= 0 && -3 + v__0 + v_j_0 >= 0 && 4 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 4 + -1*v__0 >= 0 && -3 + v__0 >= 0] eval_wcet2_bb4_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_7(v__0,1 + v__0,v_i,v_j_0) [v_j_0 >= 0 && 2 + -1*v_i + v_j_0 >= 0 && 2 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 4 + -1*v__0 >= 0] eval_wcet2_7(v__0,v_4,v_i,v_j_0) -> eval_wcet2_8(v__0,v_4,v_i,v_j_0) [v_j_0 >= 0 && 2 + -1*v_i + v_j_0 >= 0 && 3 + -1*v_4 + v_j_0 >= 0 && 2 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && -1 + v_4 + -1*v_i >= 0 && 9 + -1*v_4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 5 + -1*v_4 >= 0 && 1 + -1*v_4 + v__0 >= 0 && 9 + -1*v_4 + -1*v__0 >= 0 && -1 + v_4 + -1*v__0 >= 0 && 4 + -1*v__0 >= 0] eval_wcet2_8(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb1_in(v_4,v_4,v_i,v_j_0) [v_j_0 >= 0 && 2 + -1*v_i + v_j_0 >= 0 && 3 + -1*v_4 + v_j_0 >= 0 && 2 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && -1 + v_4 + -1*v_i >= 0 && 9 + -1*v_4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 5 + -1*v_4 >= 0 && 1 + -1*v_4 + v__0 >= 0 && 9 + -1*v_4 + -1*v__0 >= 0 && -1 + v_4 + -1*v__0 >= 0 && 4 + -1*v__0 >= 0] eval_wcet2_bb5_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_stop(v__0,v_4,v_i,v_j_0) [v__0 + -1*v_i >= 0 && -5 + v__0 >= 0] eval_wcet2_stop(v__0,v_4,v_i,v_j_0) -> exitus616(v__0,v_4,v_i,v_j_0) True Signature: {(eval_wcet2_0,4) ;(eval_wcet2_1,4) ;(eval_wcet2_2,4) ;(eval_wcet2_3,4) ;(eval_wcet2_7,4) ;(eval_wcet2_8,4) ;(eval_wcet2_bb0_in,4) ;(eval_wcet2_bb1_in,4) ;(eval_wcet2_bb2_in,4) ;(eval_wcet2_bb3_in,4) ;(eval_wcet2_bb4_in,4) ;(eval_wcet2_bb5_in,4) ;(eval_wcet2_start,4) ;(eval_wcet2_stop,4) ;(exitus616,4)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6,7},6->{8,9},7->{15},8->{11},9->{12},10->{12},11->{8,10},12->{13} ,13->{14},14->{6,7},15->{16}] + 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] | `- p:[6,14,13,12,9,10,11,8] c: [6,9,10,12,13,14] | `- p:[8,11] c: [8,11] * Step 5: AbstractSize WORST_CASE(?,POLY) + Considered Problem: (Rules: eval_wcet2_start(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb0_in(v__0,v_4,v_i,v_j_0) True eval_wcet2_bb0_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_0(v__0,v_4,v_i,v_j_0) True eval_wcet2_0(v__0,v_4,v_i,v_j_0) -> eval_wcet2_1(v__0,v_4,v_i,v_j_0) True eval_wcet2_1(v__0,v_4,v_i,v_j_0) -> eval_wcet2_2(v__0,v_4,v_i,v_j_0) True eval_wcet2_2(v__0,v_4,v_i,v_j_0) -> eval_wcet2_3(v__0,v_4,v_i,v_j_0) True eval_wcet2_3(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb1_in(v_i,v_4,v_i,v_j_0) True eval_wcet2_bb1_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb2_in(v__0,v_4,v_i,0) [v__0 + -1*v_i >= 0 && 4 >= v__0] eval_wcet2_bb1_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb5_in(v__0,v_4,v_i,v_j_0) [v__0 + -1*v_i >= 0 && v__0 >= 5] eval_wcet2_bb2_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb3_in(v__0,v_4,v_i,v_j_0) [v_j_0 >= 0 && 4 + -1*v_i + v_j_0 >= 0 && 4 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 4 + -1*v__0 >= 0 && -1 + v__0 >= 2 && 9 >= v_j_0] eval_wcet2_bb2_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb4_in(v__0,v_4,v_i,v_j_0) [v_j_0 >= 0 && 4 + -1*v_i + v_j_0 >= 0 && 4 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 4 + -1*v__0 >= 0 && 2 >= v__0] eval_wcet2_bb2_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb4_in(v__0,v_4,v_i,v_j_0) [v_j_0 >= 0 && 4 + -1*v_i + v_j_0 >= 0 && 4 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 4 + -1*v__0 >= 0 && -1 + v_j_0 >= 9] eval_wcet2_bb3_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb2_in(v__0,v_4,v_i,1 + v_j_0) [9 + -1*v_j_0 >= 0 && 13 + -1*v_i + -1*v_j_0 >= 0 && 6 + v__0 + -1*v_j_0 >= 0 && 13 + -1*v__0 + -1*v_j_0 >= 0 && v_j_0 >= 0 && 4 + -1*v_i + v_j_0 >= 0 && -3 + v__0 + v_j_0 >= 0 && 4 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 4 + -1*v__0 >= 0 && -3 + v__0 >= 0] eval_wcet2_bb4_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_7(v__0,1 + v__0,v_i,v_j_0) [v_j_0 >= 0 && 2 + -1*v_i + v_j_0 >= 0 && 2 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 4 + -1*v__0 >= 0] eval_wcet2_7(v__0,v_4,v_i,v_j_0) -> eval_wcet2_8(v__0,v_4,v_i,v_j_0) [v_j_0 >= 0 && 2 + -1*v_i + v_j_0 >= 0 && 3 + -1*v_4 + v_j_0 >= 0 && 2 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && -1 + v_4 + -1*v_i >= 0 && 9 + -1*v_4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 5 + -1*v_4 >= 0 && 1 + -1*v_4 + v__0 >= 0 && 9 + -1*v_4 + -1*v__0 >= 0 && -1 + v_4 + -1*v__0 >= 0 && 4 + -1*v__0 >= 0] eval_wcet2_8(v__0,v_4,v_i,v_j_0) -> eval_wcet2_bb1_in(v_4,v_4,v_i,v_j_0) [v_j_0 >= 0 && 2 + -1*v_i + v_j_0 >= 0 && 3 + -1*v_4 + v_j_0 >= 0 && 2 + -1*v__0 + v_j_0 >= 0 && 4 + -1*v_i >= 0 && -1 + v_4 + -1*v_i >= 0 && 9 + -1*v_4 + -1*v_i >= 0 && v__0 + -1*v_i >= 0 && 8 + -1*v__0 + -1*v_i >= 0 && 5 + -1*v_4 >= 0 && 1 + -1*v_4 + v__0 >= 0 && 9 + -1*v_4 + -1*v__0 >= 0 && -1 + v_4 + -1*v__0 >= 0 && 4 + -1*v__0 >= 0] eval_wcet2_bb5_in(v__0,v_4,v_i,v_j_0) -> eval_wcet2_stop(v__0,v_4,v_i,v_j_0) [v__0 + -1*v_i >= 0 && -5 + v__0 >= 0] eval_wcet2_stop(v__0,v_4,v_i,v_j_0) -> exitus616(v__0,v_4,v_i,v_j_0) True Signature: {(eval_wcet2_0,4) ;(eval_wcet2_1,4) ;(eval_wcet2_2,4) ;(eval_wcet2_3,4) ;(eval_wcet2_7,4) ;(eval_wcet2_8,4) ;(eval_wcet2_bb0_in,4) ;(eval_wcet2_bb1_in,4) ;(eval_wcet2_bb2_in,4) ;(eval_wcet2_bb3_in,4) ;(eval_wcet2_bb4_in,4) ;(eval_wcet2_bb5_in,4) ;(eval_wcet2_start,4) ;(eval_wcet2_stop,4) ;(exitus616,4)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6,7},6->{8,9},7->{15},8->{11},9->{12},10->{12},11->{8,10},12->{13} ,13->{14},14->{6,7},15->{16}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16] | `- p:[6,14,13,12,9,10,11,8] c: [6,9,10,12,13,14] | `- p:[8,11] c: [8,11]) + Applied Processor: AbstractSize Minimize + Details: () * Step 6: AbstractFlow WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [v__0,v_4,v_i,v_j_0,0.0,0.0.0] eval_wcet2_start ~> eval_wcet2_bb0_in [v__0 <= v__0, v_4 <= v_4, v_i <= v_i, v_j_0 <= v_j_0] eval_wcet2_bb0_in ~> eval_wcet2_0 [v__0 <= v__0, v_4 <= v_4, v_i <= v_i, v_j_0 <= v_j_0] eval_wcet2_0 ~> eval_wcet2_1 [v__0 <= v__0, v_4 <= v_4, v_i <= v_i, v_j_0 <= v_j_0] eval_wcet2_1 ~> eval_wcet2_2 [v__0 <= v__0, v_4 <= v_4, v_i <= v_i, v_j_0 <= v_j_0] eval_wcet2_2 ~> eval_wcet2_3 [v__0 <= v__0, v_4 <= v_4, v_i <= v_i, v_j_0 <= v_j_0] eval_wcet2_3 ~> eval_wcet2_bb1_in [v__0 <= v_i, v_4 <= v_4, v_i <= v_i, v_j_0 <= v_j_0] eval_wcet2_bb1_in ~> eval_wcet2_bb2_in [v__0 <= v__0, v_4 <= v_4, v_i <= v_i, v_j_0 <= 0*K] eval_wcet2_bb1_in ~> eval_wcet2_bb5_in [v__0 <= v__0, v_4 <= v_4, v_i <= v_i, v_j_0 <= v_j_0] eval_wcet2_bb2_in ~> eval_wcet2_bb3_in [v__0 <= v__0, v_4 <= v_4, v_i <= v_i, v_j_0 <= v_j_0] eval_wcet2_bb2_in ~> eval_wcet2_bb4_in [v__0 <= v__0, v_4 <= v_4, v_i <= v_i, v_j_0 <= v_j_0] eval_wcet2_bb2_in ~> eval_wcet2_bb4_in [v__0 <= v__0, v_4 <= v_4, v_i <= v_i, v_j_0 <= v_j_0] eval_wcet2_bb3_in ~> eval_wcet2_bb2_in [v__0 <= v__0, v_4 <= v_4, v_i <= v_i, v_j_0 <= 10*K] eval_wcet2_bb4_in ~> eval_wcet2_7 [v__0 <= v__0, v_4 <= K + v__0, v_i <= v_i, v_j_0 <= v_j_0] eval_wcet2_7 ~> eval_wcet2_8 [v__0 <= v__0, v_4 <= v_4, v_i <= v_i, v_j_0 <= v_j_0] eval_wcet2_8 ~> eval_wcet2_bb1_in [v__0 <= v_4, v_4 <= v_4, v_i <= v_i, v_j_0 <= v_j_0] eval_wcet2_bb5_in ~> eval_wcet2_stop [v__0 <= v__0, v_4 <= v_4, v_i <= v_i, v_j_0 <= v_j_0] eval_wcet2_stop ~> exitus616 [v__0 <= v__0, v_4 <= v_4, v_i <= v_i, v_j_0 <= v_j_0] + Loop: [0.0 <= 4*K + v__0] eval_wcet2_bb1_in ~> eval_wcet2_bb2_in [v__0 <= v__0, v_4 <= v_4, v_i <= v_i, v_j_0 <= 0*K] eval_wcet2_8 ~> eval_wcet2_bb1_in [v__0 <= v_4, v_4 <= v_4, v_i <= v_i, v_j_0 <= v_j_0] eval_wcet2_7 ~> eval_wcet2_8 [v__0 <= v__0, v_4 <= v_4, v_i <= v_i, v_j_0 <= v_j_0] eval_wcet2_bb4_in ~> eval_wcet2_7 [v__0 <= v__0, v_4 <= K + v__0, v_i <= v_i, v_j_0 <= v_j_0] eval_wcet2_bb2_in ~> eval_wcet2_bb4_in [v__0 <= v__0, v_4 <= v_4, v_i <= v_i, v_j_0 <= v_j_0] eval_wcet2_bb2_in ~> eval_wcet2_bb4_in [v__0 <= v__0, v_4 <= v_4, v_i <= v_i, v_j_0 <= v_j_0] eval_wcet2_bb3_in ~> eval_wcet2_bb2_in [v__0 <= v__0, v_4 <= v_4, v_i <= v_i, v_j_0 <= 10*K] eval_wcet2_bb2_in ~> eval_wcet2_bb3_in [v__0 <= v__0, v_4 <= v_4, v_i <= v_i, v_j_0 <= v_j_0] + Loop: [0.0.0 <= 9*K + v_j_0] eval_wcet2_bb2_in ~> eval_wcet2_bb3_in [v__0 <= v__0, v_4 <= v_4, v_i <= v_i, v_j_0 <= v_j_0] eval_wcet2_bb3_in ~> eval_wcet2_bb2_in [v__0 <= v__0, v_4 <= v_4, v_i <= v_i, v_j_0 <= 10*K] + Applied Processor: AbstractFlow + Details: () * Step 7: Lare WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [tick,huge,K,v__0,v_4,v_i,v_j_0,0.0,0.0.0] eval_wcet2_start ~> eval_wcet2_bb0_in [] eval_wcet2_bb0_in ~> eval_wcet2_0 [] eval_wcet2_0 ~> eval_wcet2_1 [] eval_wcet2_1 ~> eval_wcet2_2 [] eval_wcet2_2 ~> eval_wcet2_3 [] eval_wcet2_3 ~> eval_wcet2_bb1_in [v_i ~=> v__0] eval_wcet2_bb1_in ~> eval_wcet2_bb2_in [K ~=> v_j_0] eval_wcet2_bb1_in ~> eval_wcet2_bb5_in [] eval_wcet2_bb2_in ~> eval_wcet2_bb3_in [] eval_wcet2_bb2_in ~> eval_wcet2_bb4_in [] eval_wcet2_bb2_in ~> eval_wcet2_bb4_in [] eval_wcet2_bb3_in ~> eval_wcet2_bb2_in [K ~=> v_j_0] eval_wcet2_bb4_in ~> eval_wcet2_7 [v__0 ~+> v_4,K ~+> v_4] eval_wcet2_7 ~> eval_wcet2_8 [] eval_wcet2_8 ~> eval_wcet2_bb1_in [v_4 ~=> v__0] eval_wcet2_bb5_in ~> eval_wcet2_stop [] eval_wcet2_stop ~> exitus616 [] + Loop: [v__0 ~+> 0.0,K ~*> 0.0] eval_wcet2_bb1_in ~> eval_wcet2_bb2_in [K ~=> v_j_0] eval_wcet2_8 ~> eval_wcet2_bb1_in [v_4 ~=> v__0] eval_wcet2_7 ~> eval_wcet2_8 [] eval_wcet2_bb4_in ~> eval_wcet2_7 [v__0 ~+> v_4,K ~+> v_4] eval_wcet2_bb2_in ~> eval_wcet2_bb4_in [] eval_wcet2_bb2_in ~> eval_wcet2_bb4_in [] eval_wcet2_bb3_in ~> eval_wcet2_bb2_in [K ~=> v_j_0] eval_wcet2_bb2_in ~> eval_wcet2_bb3_in [] + Loop: [v_j_0 ~+> 0.0.0,K ~*> 0.0.0] eval_wcet2_bb2_in ~> eval_wcet2_bb3_in [] eval_wcet2_bb3_in ~> eval_wcet2_bb2_in [K ~=> v_j_0] + Applied Processor: Lare + Details: eval_wcet2_start ~> exitus616 [v_i ~=> v__0 ,K ~=> v_j_0 ,v_i ~+> v_4 ,v_i ~+> v__0 ,v_i ~+> 0.0 ,v_i ~+> tick ,tick ~+> tick ,K ~+> v_4 ,K ~+> v__0 ,K ~+> 0.0.0 ,K ~+> tick ,v_i ~*> v__0 ,v_i ~*> tick ,K ~*> v_4 ,K ~*> v__0 ,K ~*> 0.0 ,K ~*> 0.0.0 ,K ~*> tick] + eval_wcet2_bb1_in> [K ~=> v_j_0 ,v__0 ~+> v_4 ,v__0 ~+> v__0 ,v__0 ~+> 0.0 ,v__0 ~+> tick ,tick ~+> tick ,K ~+> v_4 ,K ~+> v__0 ,K ~+> 0.0.0 ,K ~+> tick ,v__0 ~*> v__0 ,v__0 ~*> tick ,K ~*> v_4 ,K ~*> v__0 ,K ~*> 0.0 ,K ~*> 0.0.0 ,K ~*> tick] + eval_wcet2_bb2_in> [K ~=> v_j_0 ,v_j_0 ~+> 0.0.0 ,v_j_0 ~+> tick ,tick ~+> tick ,K ~*> 0.0.0 ,K ~*> tick] YES(?,POLY)