YES(?,POLY) * Step 1: UnsatPaths WORST_CASE(?,POLY) + Considered Problem: Rules: 0. eval_start_start(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb0_in(v__0,v__0_sink,v_1,v_3,v_n) True (1,1) 1. eval_start_bb0_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_0(v__0,v__0_sink,v_1,v_3,v_n) True (?,1) 2. eval_start_0(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_1(v__0,v__0_sink,v_1,v_3,v_n) True (?,1) 3. eval_start_1(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_2(v__0,v__0_sink,v_1,v_3,v_n) True (?,1) 4. eval_start_2(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb1_in(v_n,v__0_sink,v_1,v_3,v_n) True (?,1) 5. eval_start_bb1_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb2_in(v__0,v__0,v_1,v_3,v_n) [-1*v__0 + v_n >= 0 && -1 + v__0 >= 0] (?,1) 6. eval_start_bb1_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb4_in(v__0,v__0_sink,v_1,v_3,v_n) [-1*v__0 + v_n >= 0 && 0 >= v__0] (?,1) 7. eval_start_bb2_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb3_in(v__0,v__0_sink,-1 + v__0_sink,v_3,v_n) [-1 + v_n >= 0 (?,1) && -2 + v__0_sink + v_n >= 0 && -1*v__0_sink + v_n >= 0 && -2 + v__0 + v_n >= 0 && -1*v__0 + v_n >= 0 && v__0 + -1*v__0_sink >= 0 && -1 + v__0_sink >= 0 && -2 + v__0 + v__0_sink >= 0 && -1 + v__0 >= 0 && -2 + v__0_sink >= 0] 8. eval_start_bb2_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb1_in(-1 + v__0_sink,v__0_sink,v_1,v_3,v_n) [-1 + v_n >= 0 (?,1) && -2 + v__0_sink + v_n >= 0 && -1*v__0_sink + v_n >= 0 && -2 + v__0 + v_n >= 0 && -1*v__0 + v_n >= 0 && v__0 + -1*v__0_sink >= 0 && -1 + v__0_sink >= 0 && -2 + v__0 + v__0_sink >= 0 && -1 + v__0 >= 0 && 0 >= -1 + v__0_sink] 9. eval_start_bb3_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_5(v__0,v__0_sink,v_1,v_3,v_n) [-2 + v_n >= 0 (?,1) && -3 + v_1 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -4 + v__0_sink + v_n >= 0 && -1*v__0_sink + v_n >= 0 && -4 + v__0 + v_n >= 0 && -1*v__0 + v_n >= 0 && -1 + -1*v_1 + v__0_sink >= 0 && -1 + -1*v_1 + v__0 >= 0 && -1 + v_1 >= 0 && -3 + v_1 + v__0_sink >= 0 && 1 + v_1 + -1*v__0_sink >= 0 && -3 + v_1 + v__0 >= 0 && v__0 + -1*v__0_sink >= 0 && -2 + v__0_sink >= 0 && -4 + v__0 + v__0_sink >= 0 && -2 + v__0 >= 0] 10. eval_start_5(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_6(v__0,v__0_sink,v_1,nondef_0,v_n) [-2 + v_n >= 0 (?,1) && -3 + v_1 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -4 + v__0_sink + v_n >= 0 && -1*v__0_sink + v_n >= 0 && -4 + v__0 + v_n >= 0 && -1*v__0 + v_n >= 0 && -1 + -1*v_1 + v__0_sink >= 0 && -1 + -1*v_1 + v__0 >= 0 && -1 + v_1 >= 0 && -3 + v_1 + v__0_sink >= 0 && 1 + v_1 + -1*v__0_sink >= 0 && -3 + v_1 + v__0 >= 0 && v__0 + -1*v__0_sink >= 0 && -2 + v__0_sink >= 0 && -4 + v__0 + v__0_sink >= 0 && -2 + v__0 >= 0] 11. eval_start_6(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb1_in(v_1,v__0_sink,v_1,v_3,v_n) [-2 + v_n >= 0 (?,1) && -3 + v_1 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -4 + v__0_sink + v_n >= 0 && -1*v__0_sink + v_n >= 0 && -4 + v__0 + v_n >= 0 && -1*v__0 + v_n >= 0 && -1 + -1*v_1 + v__0_sink >= 0 && -1 + -1*v_1 + v__0 >= 0 && -1 + v_1 >= 0 && -3 + v_1 + v__0_sink >= 0 && 1 + v_1 + -1*v__0_sink >= 0 && -3 + v_1 + v__0 >= 0 && v__0 + -1*v__0_sink >= 0 && -2 + v__0_sink >= 0 && -4 + v__0 + v__0_sink >= 0 && -2 + v__0 >= 0 && -1 + v_3 >= 0] 12. eval_start_6(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb2_in(v__0,v_1,v_1,v_3,v_n) [-2 + v_n >= 0 (?,1) && -3 + v_1 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -4 + v__0_sink + v_n >= 0 && -1*v__0_sink + v_n >= 0 && -4 + v__0 + v_n >= 0 && -1*v__0 + v_n >= 0 && -1 + -1*v_1 + v__0_sink >= 0 && -1 + -1*v_1 + v__0 >= 0 && -1 + v_1 >= 0 && -3 + v_1 + v__0_sink >= 0 && 1 + v_1 + -1*v__0_sink >= 0 && -3 + v_1 + v__0 >= 0 && v__0 + -1*v__0_sink >= 0 && -2 + v__0_sink >= 0 && -4 + v__0 + v__0_sink >= 0 && -2 + v__0 >= 0 && 0 >= v_3] 13. eval_start_bb4_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_stop(v__0,v__0_sink,v_1,v_3,v_n) [-1*v__0 + v_n >= 0 && -1*v__0 >= 0] (?,1) Signature: {(eval_start_0,5) ;(eval_start_1,5) ;(eval_start_2,5) ;(eval_start_5,5) ;(eval_start_6,5) ;(eval_start_bb0_in,5) ;(eval_start_bb1_in,5) ;(eval_start_bb2_in,5) ;(eval_start_bb3_in,5) ;(eval_start_bb4_in,5) ;(eval_start_start,5) ;(eval_start_stop,5)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5,6},5->{7,8},6->{13},7->{9},8->{5,6},9->{10},10->{11,12},11->{5,6} ,12->{7,8},13->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(8,5),(11,6)] * Step 2: FromIts WORST_CASE(?,POLY) + Considered Problem: Rules: 0. eval_start_start(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb0_in(v__0,v__0_sink,v_1,v_3,v_n) True (1,1) 1. eval_start_bb0_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_0(v__0,v__0_sink,v_1,v_3,v_n) True (?,1) 2. eval_start_0(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_1(v__0,v__0_sink,v_1,v_3,v_n) True (?,1) 3. eval_start_1(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_2(v__0,v__0_sink,v_1,v_3,v_n) True (?,1) 4. eval_start_2(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb1_in(v_n,v__0_sink,v_1,v_3,v_n) True (?,1) 5. eval_start_bb1_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb2_in(v__0,v__0,v_1,v_3,v_n) [-1*v__0 + v_n >= 0 && -1 + v__0 >= 0] (?,1) 6. eval_start_bb1_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb4_in(v__0,v__0_sink,v_1,v_3,v_n) [-1*v__0 + v_n >= 0 && 0 >= v__0] (?,1) 7. eval_start_bb2_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb3_in(v__0,v__0_sink,-1 + v__0_sink,v_3,v_n) [-1 + v_n >= 0 (?,1) && -2 + v__0_sink + v_n >= 0 && -1*v__0_sink + v_n >= 0 && -2 + v__0 + v_n >= 0 && -1*v__0 + v_n >= 0 && v__0 + -1*v__0_sink >= 0 && -1 + v__0_sink >= 0 && -2 + v__0 + v__0_sink >= 0 && -1 + v__0 >= 0 && -2 + v__0_sink >= 0] 8. eval_start_bb2_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb1_in(-1 + v__0_sink,v__0_sink,v_1,v_3,v_n) [-1 + v_n >= 0 (?,1) && -2 + v__0_sink + v_n >= 0 && -1*v__0_sink + v_n >= 0 && -2 + v__0 + v_n >= 0 && -1*v__0 + v_n >= 0 && v__0 + -1*v__0_sink >= 0 && -1 + v__0_sink >= 0 && -2 + v__0 + v__0_sink >= 0 && -1 + v__0 >= 0 && 0 >= -1 + v__0_sink] 9. eval_start_bb3_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_5(v__0,v__0_sink,v_1,v_3,v_n) [-2 + v_n >= 0 (?,1) && -3 + v_1 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -4 + v__0_sink + v_n >= 0 && -1*v__0_sink + v_n >= 0 && -4 + v__0 + v_n >= 0 && -1*v__0 + v_n >= 0 && -1 + -1*v_1 + v__0_sink >= 0 && -1 + -1*v_1 + v__0 >= 0 && -1 + v_1 >= 0 && -3 + v_1 + v__0_sink >= 0 && 1 + v_1 + -1*v__0_sink >= 0 && -3 + v_1 + v__0 >= 0 && v__0 + -1*v__0_sink >= 0 && -2 + v__0_sink >= 0 && -4 + v__0 + v__0_sink >= 0 && -2 + v__0 >= 0] 10. eval_start_5(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_6(v__0,v__0_sink,v_1,nondef_0,v_n) [-2 + v_n >= 0 (?,1) && -3 + v_1 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -4 + v__0_sink + v_n >= 0 && -1*v__0_sink + v_n >= 0 && -4 + v__0 + v_n >= 0 && -1*v__0 + v_n >= 0 && -1 + -1*v_1 + v__0_sink >= 0 && -1 + -1*v_1 + v__0 >= 0 && -1 + v_1 >= 0 && -3 + v_1 + v__0_sink >= 0 && 1 + v_1 + -1*v__0_sink >= 0 && -3 + v_1 + v__0 >= 0 && v__0 + -1*v__0_sink >= 0 && -2 + v__0_sink >= 0 && -4 + v__0 + v__0_sink >= 0 && -2 + v__0 >= 0] 11. eval_start_6(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb1_in(v_1,v__0_sink,v_1,v_3,v_n) [-2 + v_n >= 0 (?,1) && -3 + v_1 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -4 + v__0_sink + v_n >= 0 && -1*v__0_sink + v_n >= 0 && -4 + v__0 + v_n >= 0 && -1*v__0 + v_n >= 0 && -1 + -1*v_1 + v__0_sink >= 0 && -1 + -1*v_1 + v__0 >= 0 && -1 + v_1 >= 0 && -3 + v_1 + v__0_sink >= 0 && 1 + v_1 + -1*v__0_sink >= 0 && -3 + v_1 + v__0 >= 0 && v__0 + -1*v__0_sink >= 0 && -2 + v__0_sink >= 0 && -4 + v__0 + v__0_sink >= 0 && -2 + v__0 >= 0 && -1 + v_3 >= 0] 12. eval_start_6(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb2_in(v__0,v_1,v_1,v_3,v_n) [-2 + v_n >= 0 (?,1) && -3 + v_1 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -4 + v__0_sink + v_n >= 0 && -1*v__0_sink + v_n >= 0 && -4 + v__0 + v_n >= 0 && -1*v__0 + v_n >= 0 && -1 + -1*v_1 + v__0_sink >= 0 && -1 + -1*v_1 + v__0 >= 0 && -1 + v_1 >= 0 && -3 + v_1 + v__0_sink >= 0 && 1 + v_1 + -1*v__0_sink >= 0 && -3 + v_1 + v__0 >= 0 && v__0 + -1*v__0_sink >= 0 && -2 + v__0_sink >= 0 && -4 + v__0 + v__0_sink >= 0 && -2 + v__0 >= 0 && 0 >= v_3] 13. eval_start_bb4_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_stop(v__0,v__0_sink,v_1,v_3,v_n) [-1*v__0 + v_n >= 0 && -1*v__0 >= 0] (?,1) Signature: {(eval_start_0,5) ;(eval_start_1,5) ;(eval_start_2,5) ;(eval_start_5,5) ;(eval_start_6,5) ;(eval_start_bb0_in,5) ;(eval_start_bb1_in,5) ;(eval_start_bb2_in,5) ;(eval_start_bb3_in,5) ;(eval_start_bb4_in,5) ;(eval_start_start,5) ;(eval_start_stop,5)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5,6},5->{7,8},6->{13},7->{9},8->{6},9->{10},10->{11,12},11->{5},12->{7,8} ,13->{}] + Applied Processor: FromIts + Details: () * Step 3: AddSinks WORST_CASE(?,POLY) + Considered Problem: Rules: eval_start_start(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb0_in(v__0,v__0_sink,v_1,v_3 ,v_n) True eval_start_bb0_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_0(v__0,v__0_sink,v_1,v_3,v_n) True eval_start_0(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_1(v__0,v__0_sink,v_1,v_3,v_n) True eval_start_1(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_2(v__0,v__0_sink,v_1,v_3,v_n) True eval_start_2(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb1_in(v_n,v__0_sink,v_1,v_3,v_n) True eval_start_bb1_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb2_in(v__0,v__0,v_1,v_3,v_n) [-1*v__0 + v_n >= 0 && -1 + v__0 >= 0] eval_start_bb1_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb4_in(v__0,v__0_sink,v_1,v_3,v_n) [-1*v__0 + v_n >= 0 && 0 >= v__0] eval_start_bb2_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb3_in(v__0,v__0_sink,-1 + v__0_sink,v_3,v_n) [-1 + v_n >= 0 && -2 + v__0_sink + v_n >= 0 && -1*v__0_sink + v_n >= 0 && -2 + v__0 + v_n >= 0 && -1*v__0 + v_n >= 0 && v__0 + -1*v__0_sink >= 0 && -1 + v__0_sink >= 0 && -2 + v__0 + v__0_sink >= 0 && -1 + v__0 >= 0 && -2 + v__0_sink >= 0] eval_start_bb2_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb1_in(-1 + v__0_sink,v__0_sink,v_1,v_3,v_n) [-1 + v_n >= 0 && -2 + v__0_sink + v_n >= 0 && -1*v__0_sink + v_n >= 0 && -2 + v__0 + v_n >= 0 && -1*v__0 + v_n >= 0 && v__0 + -1*v__0_sink >= 0 && -1 + v__0_sink >= 0 && -2 + v__0 + v__0_sink >= 0 && -1 + v__0 >= 0 && 0 >= -1 + v__0_sink] eval_start_bb3_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_5(v__0,v__0_sink,v_1,v_3,v_n) [-2 + v_n >= 0 && -3 + v_1 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -4 + v__0_sink + v_n >= 0 && -1*v__0_sink + v_n >= 0 && -4 + v__0 + v_n >= 0 && -1*v__0 + v_n >= 0 && -1 + -1*v_1 + v__0_sink >= 0 && -1 + -1*v_1 + v__0 >= 0 && -1 + v_1 >= 0 && -3 + v_1 + v__0_sink >= 0 && 1 + v_1 + -1*v__0_sink >= 0 && -3 + v_1 + v__0 >= 0 && v__0 + -1*v__0_sink >= 0 && -2 + v__0_sink >= 0 && -4 + v__0 + v__0_sink >= 0 && -2 + v__0 >= 0] eval_start_5(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_6(v__0,v__0_sink,v_1,nondef_0,v_n) [-2 + v_n >= 0 && -3 + v_1 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -4 + v__0_sink + v_n >= 0 && -1*v__0_sink + v_n >= 0 && -4 + v__0 + v_n >= 0 && -1*v__0 + v_n >= 0 && -1 + -1*v_1 + v__0_sink >= 0 && -1 + -1*v_1 + v__0 >= 0 && -1 + v_1 >= 0 && -3 + v_1 + v__0_sink >= 0 && 1 + v_1 + -1*v__0_sink >= 0 && -3 + v_1 + v__0 >= 0 && v__0 + -1*v__0_sink >= 0 && -2 + v__0_sink >= 0 && -4 + v__0 + v__0_sink >= 0 && -2 + v__0 >= 0] eval_start_6(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb1_in(v_1,v__0_sink,v_1,v_3,v_n) [-2 + v_n >= 0 && -3 + v_1 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -4 + v__0_sink + v_n >= 0 && -1*v__0_sink + v_n >= 0 && -4 + v__0 + v_n >= 0 && -1*v__0 + v_n >= 0 && -1 + -1*v_1 + v__0_sink >= 0 && -1 + -1*v_1 + v__0 >= 0 && -1 + v_1 >= 0 && -3 + v_1 + v__0_sink >= 0 && 1 + v_1 + -1*v__0_sink >= 0 && -3 + v_1 + v__0 >= 0 && v__0 + -1*v__0_sink >= 0 && -2 + v__0_sink >= 0 && -4 + v__0 + v__0_sink >= 0 && -2 + v__0 >= 0 && -1 + v_3 >= 0] eval_start_6(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb2_in(v__0,v_1,v_1,v_3,v_n) [-2 + v_n >= 0 && -3 + v_1 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -4 + v__0_sink + v_n >= 0 && -1*v__0_sink + v_n >= 0 && -4 + v__0 + v_n >= 0 && -1*v__0 + v_n >= 0 && -1 + -1*v_1 + v__0_sink >= 0 && -1 + -1*v_1 + v__0 >= 0 && -1 + v_1 >= 0 && -3 + v_1 + v__0_sink >= 0 && 1 + v_1 + -1*v__0_sink >= 0 && -3 + v_1 + v__0 >= 0 && v__0 + -1*v__0_sink >= 0 && -2 + v__0_sink >= 0 && -4 + v__0 + v__0_sink >= 0 && -2 + v__0 >= 0 && 0 >= v_3] eval_start_bb4_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_stop(v__0,v__0_sink,v_1,v_3,v_n) [-1*v__0 + v_n >= 0 && -1*v__0 >= 0] Signature: {(eval_start_0,5) ;(eval_start_1,5) ;(eval_start_2,5) ;(eval_start_5,5) ;(eval_start_6,5) ;(eval_start_bb0_in,5) ;(eval_start_bb1_in,5) ;(eval_start_bb2_in,5) ;(eval_start_bb3_in,5) ;(eval_start_bb4_in,5) ;(eval_start_start,5) ;(eval_start_stop,5)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5,6},5->{7,8},6->{13},7->{9},8->{6},9->{10},10->{11,12},11->{5},12->{7,8} ,13->{}] + Applied Processor: AddSinks + Details: () * Step 4: Decompose WORST_CASE(?,POLY) + Considered Problem: Rules: eval_start_start(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb0_in(v__0,v__0_sink,v_1,v_3 ,v_n) True eval_start_bb0_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_0(v__0,v__0_sink,v_1,v_3,v_n) True eval_start_0(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_1(v__0,v__0_sink,v_1,v_3,v_n) True eval_start_1(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_2(v__0,v__0_sink,v_1,v_3,v_n) True eval_start_2(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb1_in(v_n,v__0_sink,v_1,v_3,v_n) True eval_start_bb1_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb2_in(v__0,v__0,v_1,v_3,v_n) [-1*v__0 + v_n >= 0 && -1 + v__0 >= 0] eval_start_bb1_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb4_in(v__0,v__0_sink,v_1,v_3,v_n) [-1*v__0 + v_n >= 0 && 0 >= v__0] eval_start_bb2_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb3_in(v__0,v__0_sink,-1 + v__0_sink,v_3,v_n) [-1 + v_n >= 0 && -2 + v__0_sink + v_n >= 0 && -1*v__0_sink + v_n >= 0 && -2 + v__0 + v_n >= 0 && -1*v__0 + v_n >= 0 && v__0 + -1*v__0_sink >= 0 && -1 + v__0_sink >= 0 && -2 + v__0 + v__0_sink >= 0 && -1 + v__0 >= 0 && -2 + v__0_sink >= 0] eval_start_bb2_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb1_in(-1 + v__0_sink,v__0_sink,v_1,v_3,v_n) [-1 + v_n >= 0 && -2 + v__0_sink + v_n >= 0 && -1*v__0_sink + v_n >= 0 && -2 + v__0 + v_n >= 0 && -1*v__0 + v_n >= 0 && v__0 + -1*v__0_sink >= 0 && -1 + v__0_sink >= 0 && -2 + v__0 + v__0_sink >= 0 && -1 + v__0 >= 0 && 0 >= -1 + v__0_sink] eval_start_bb3_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_5(v__0,v__0_sink,v_1,v_3,v_n) [-2 + v_n >= 0 && -3 + v_1 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -4 + v__0_sink + v_n >= 0 && -1*v__0_sink + v_n >= 0 && -4 + v__0 + v_n >= 0 && -1*v__0 + v_n >= 0 && -1 + -1*v_1 + v__0_sink >= 0 && -1 + -1*v_1 + v__0 >= 0 && -1 + v_1 >= 0 && -3 + v_1 + v__0_sink >= 0 && 1 + v_1 + -1*v__0_sink >= 0 && -3 + v_1 + v__0 >= 0 && v__0 + -1*v__0_sink >= 0 && -2 + v__0_sink >= 0 && -4 + v__0 + v__0_sink >= 0 && -2 + v__0 >= 0] eval_start_5(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_6(v__0,v__0_sink,v_1,nondef_0,v_n) [-2 + v_n >= 0 && -3 + v_1 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -4 + v__0_sink + v_n >= 0 && -1*v__0_sink + v_n >= 0 && -4 + v__0 + v_n >= 0 && -1*v__0 + v_n >= 0 && -1 + -1*v_1 + v__0_sink >= 0 && -1 + -1*v_1 + v__0 >= 0 && -1 + v_1 >= 0 && -3 + v_1 + v__0_sink >= 0 && 1 + v_1 + -1*v__0_sink >= 0 && -3 + v_1 + v__0 >= 0 && v__0 + -1*v__0_sink >= 0 && -2 + v__0_sink >= 0 && -4 + v__0 + v__0_sink >= 0 && -2 + v__0 >= 0] eval_start_6(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb1_in(v_1,v__0_sink,v_1,v_3,v_n) [-2 + v_n >= 0 && -3 + v_1 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -4 + v__0_sink + v_n >= 0 && -1*v__0_sink + v_n >= 0 && -4 + v__0 + v_n >= 0 && -1*v__0 + v_n >= 0 && -1 + -1*v_1 + v__0_sink >= 0 && -1 + -1*v_1 + v__0 >= 0 && -1 + v_1 >= 0 && -3 + v_1 + v__0_sink >= 0 && 1 + v_1 + -1*v__0_sink >= 0 && -3 + v_1 + v__0 >= 0 && v__0 + -1*v__0_sink >= 0 && -2 + v__0_sink >= 0 && -4 + v__0 + v__0_sink >= 0 && -2 + v__0 >= 0 && -1 + v_3 >= 0] eval_start_6(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb2_in(v__0,v_1,v_1,v_3,v_n) [-2 + v_n >= 0 && -3 + v_1 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -4 + v__0_sink + v_n >= 0 && -1*v__0_sink + v_n >= 0 && -4 + v__0 + v_n >= 0 && -1*v__0 + v_n >= 0 && -1 + -1*v_1 + v__0_sink >= 0 && -1 + -1*v_1 + v__0 >= 0 && -1 + v_1 >= 0 && -3 + v_1 + v__0_sink >= 0 && 1 + v_1 + -1*v__0_sink >= 0 && -3 + v_1 + v__0 >= 0 && v__0 + -1*v__0_sink >= 0 && -2 + v__0_sink >= 0 && -4 + v__0 + v__0_sink >= 0 && -2 + v__0 >= 0 && 0 >= v_3] eval_start_bb4_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_stop(v__0,v__0_sink,v_1,v_3,v_n) [-1*v__0 + v_n >= 0 && -1*v__0 >= 0] eval_start_stop(v__0,v__0_sink,v_1,v_3,v_n) -> exitus616(v__0,v__0_sink,v_1,v_3,v_n) True Signature: {(eval_start_0,5) ;(eval_start_1,5) ;(eval_start_2,5) ;(eval_start_5,5) ;(eval_start_6,5) ;(eval_start_bb0_in,5) ;(eval_start_bb1_in,5) ;(eval_start_bb2_in,5) ;(eval_start_bb3_in,5) ;(eval_start_bb4_in,5) ;(eval_start_start,5) ;(eval_start_stop,5) ;(exitus616,5)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5,6},5->{7,8},6->{13},7->{9},8->{6},9->{10},10->{11,12},11->{5},12->{7,8} ,13->{14}] + 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] | `- p:[5,11,10,9,7,12] c: [5,7,9,10,11,12] * Step 5: AbstractSize WORST_CASE(?,POLY) + Considered Problem: (Rules: eval_start_start(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb0_in(v__0,v__0_sink,v_1,v_3 ,v_n) True eval_start_bb0_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_0(v__0,v__0_sink,v_1,v_3,v_n) True eval_start_0(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_1(v__0,v__0_sink,v_1,v_3,v_n) True eval_start_1(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_2(v__0,v__0_sink,v_1,v_3,v_n) True eval_start_2(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb1_in(v_n,v__0_sink,v_1,v_3,v_n) True eval_start_bb1_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb2_in(v__0,v__0,v_1,v_3,v_n) [-1*v__0 + v_n >= 0 && -1 + v__0 >= 0] eval_start_bb1_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb4_in(v__0,v__0_sink,v_1,v_3,v_n) [-1*v__0 + v_n >= 0 && 0 >= v__0] eval_start_bb2_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb3_in(v__0,v__0_sink,-1 + v__0_sink,v_3,v_n) [-1 + v_n >= 0 && -2 + v__0_sink + v_n >= 0 && -1*v__0_sink + v_n >= 0 && -2 + v__0 + v_n >= 0 && -1*v__0 + v_n >= 0 && v__0 + -1*v__0_sink >= 0 && -1 + v__0_sink >= 0 && -2 + v__0 + v__0_sink >= 0 && -1 + v__0 >= 0 && -2 + v__0_sink >= 0] eval_start_bb2_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb1_in(-1 + v__0_sink,v__0_sink,v_1,v_3,v_n) [-1 + v_n >= 0 && -2 + v__0_sink + v_n >= 0 && -1*v__0_sink + v_n >= 0 && -2 + v__0 + v_n >= 0 && -1*v__0 + v_n >= 0 && v__0 + -1*v__0_sink >= 0 && -1 + v__0_sink >= 0 && -2 + v__0 + v__0_sink >= 0 && -1 + v__0 >= 0 && 0 >= -1 + v__0_sink] eval_start_bb3_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_5(v__0,v__0_sink,v_1,v_3,v_n) [-2 + v_n >= 0 && -3 + v_1 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -4 + v__0_sink + v_n >= 0 && -1*v__0_sink + v_n >= 0 && -4 + v__0 + v_n >= 0 && -1*v__0 + v_n >= 0 && -1 + -1*v_1 + v__0_sink >= 0 && -1 + -1*v_1 + v__0 >= 0 && -1 + v_1 >= 0 && -3 + v_1 + v__0_sink >= 0 && 1 + v_1 + -1*v__0_sink >= 0 && -3 + v_1 + v__0 >= 0 && v__0 + -1*v__0_sink >= 0 && -2 + v__0_sink >= 0 && -4 + v__0 + v__0_sink >= 0 && -2 + v__0 >= 0] eval_start_5(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_6(v__0,v__0_sink,v_1,nondef_0,v_n) [-2 + v_n >= 0 && -3 + v_1 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -4 + v__0_sink + v_n >= 0 && -1*v__0_sink + v_n >= 0 && -4 + v__0 + v_n >= 0 && -1*v__0 + v_n >= 0 && -1 + -1*v_1 + v__0_sink >= 0 && -1 + -1*v_1 + v__0 >= 0 && -1 + v_1 >= 0 && -3 + v_1 + v__0_sink >= 0 && 1 + v_1 + -1*v__0_sink >= 0 && -3 + v_1 + v__0 >= 0 && v__0 + -1*v__0_sink >= 0 && -2 + v__0_sink >= 0 && -4 + v__0 + v__0_sink >= 0 && -2 + v__0 >= 0] eval_start_6(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb1_in(v_1,v__0_sink,v_1,v_3,v_n) [-2 + v_n >= 0 && -3 + v_1 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -4 + v__0_sink + v_n >= 0 && -1*v__0_sink + v_n >= 0 && -4 + v__0 + v_n >= 0 && -1*v__0 + v_n >= 0 && -1 + -1*v_1 + v__0_sink >= 0 && -1 + -1*v_1 + v__0 >= 0 && -1 + v_1 >= 0 && -3 + v_1 + v__0_sink >= 0 && 1 + v_1 + -1*v__0_sink >= 0 && -3 + v_1 + v__0 >= 0 && v__0 + -1*v__0_sink >= 0 && -2 + v__0_sink >= 0 && -4 + v__0 + v__0_sink >= 0 && -2 + v__0 >= 0 && -1 + v_3 >= 0] eval_start_6(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_bb2_in(v__0,v_1,v_1,v_3,v_n) [-2 + v_n >= 0 && -3 + v_1 + v_n >= 0 && -1 + -1*v_1 + v_n >= 0 && -4 + v__0_sink + v_n >= 0 && -1*v__0_sink + v_n >= 0 && -4 + v__0 + v_n >= 0 && -1*v__0 + v_n >= 0 && -1 + -1*v_1 + v__0_sink >= 0 && -1 + -1*v_1 + v__0 >= 0 && -1 + v_1 >= 0 && -3 + v_1 + v__0_sink >= 0 && 1 + v_1 + -1*v__0_sink >= 0 && -3 + v_1 + v__0 >= 0 && v__0 + -1*v__0_sink >= 0 && -2 + v__0_sink >= 0 && -4 + v__0 + v__0_sink >= 0 && -2 + v__0 >= 0 && 0 >= v_3] eval_start_bb4_in(v__0,v__0_sink,v_1,v_3,v_n) -> eval_start_stop(v__0,v__0_sink,v_1,v_3,v_n) [-1*v__0 + v_n >= 0 && -1*v__0 >= 0] eval_start_stop(v__0,v__0_sink,v_1,v_3,v_n) -> exitus616(v__0,v__0_sink,v_1,v_3,v_n) True Signature: {(eval_start_0,5) ;(eval_start_1,5) ;(eval_start_2,5) ;(eval_start_5,5) ;(eval_start_6,5) ;(eval_start_bb0_in,5) ;(eval_start_bb1_in,5) ;(eval_start_bb2_in,5) ;(eval_start_bb3_in,5) ;(eval_start_bb4_in,5) ;(eval_start_start,5) ;(eval_start_stop,5) ;(exitus616,5)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5,6},5->{7,8},6->{13},7->{9},8->{6},9->{10},10->{11,12},11->{5},12->{7,8} ,13->{14}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14] | `- p:[5,11,10,9,7,12] c: [5,7,9,10,11,12]) + Applied Processor: AbstractSize Minimize + Details: () * Step 6: AbstractFlow WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [v__0,v__0_sink,v_1,v_3,v_n,0.0] eval_start_start ~> eval_start_bb0_in [v__0 <= v__0, v__0_sink <= v__0_sink, v_1 <= v_1, v_3 <= v_3, v_n <= v_n] eval_start_bb0_in ~> eval_start_0 [v__0 <= v__0, v__0_sink <= v__0_sink, v_1 <= v_1, v_3 <= v_3, v_n <= v_n] eval_start_0 ~> eval_start_1 [v__0 <= v__0, v__0_sink <= v__0_sink, v_1 <= v_1, v_3 <= v_3, v_n <= v_n] eval_start_1 ~> eval_start_2 [v__0 <= v__0, v__0_sink <= v__0_sink, v_1 <= v_1, v_3 <= v_3, v_n <= v_n] eval_start_2 ~> eval_start_bb1_in [v__0 <= v_n, v__0_sink <= v__0_sink, v_1 <= v_1, v_3 <= v_3, v_n <= v_n] eval_start_bb1_in ~> eval_start_bb2_in [v__0 <= v__0, v__0_sink <= v__0, v_1 <= v_1, v_3 <= v_3, v_n <= v_n] eval_start_bb1_in ~> eval_start_bb4_in [v__0 <= v__0, v__0_sink <= v__0_sink, v_1 <= v_1, v_3 <= v_3, v_n <= v_n] eval_start_bb2_in ~> eval_start_bb3_in [v__0 <= v__0, v__0_sink <= v__0_sink, v_1 <= v_n, v_3 <= v_3, v_n <= v_n] eval_start_bb2_in ~> eval_start_bb1_in [v__0 <= 0*K, v__0_sink <= v__0_sink, v_1 <= v_1, v_3 <= v_3, v_n <= v_n] eval_start_bb3_in ~> eval_start_5 [v__0 <= v__0, v__0_sink <= v__0_sink, v_1 <= v_1, v_3 <= v_3, v_n <= v_n] eval_start_5 ~> eval_start_6 [v__0 <= v__0, v__0_sink <= v__0_sink, v_1 <= v_1, v_3 <= unknown, v_n <= v_n] eval_start_6 ~> eval_start_bb1_in [v__0 <= v_1, v__0_sink <= v__0_sink, v_1 <= v_1, v_3 <= v_3, v_n <= v_n] eval_start_6 ~> eval_start_bb2_in [v__0 <= v__0, v__0_sink <= v_1, v_1 <= v_1, v_3 <= v_3, v_n <= v_n] eval_start_bb4_in ~> eval_start_stop [v__0 <= v__0, v__0_sink <= v__0_sink, v_1 <= v_1, v_3 <= v_3, v_n <= v_n] eval_start_stop ~> exitus616 [v__0 <= v__0, v__0_sink <= v__0_sink, v_1 <= v_1, v_3 <= v_3, v_n <= v_n] + Loop: [0.0 <= K + v__0 + v_n] eval_start_bb1_in ~> eval_start_bb2_in [v__0 <= v__0, v__0_sink <= v__0, v_1 <= v_1, v_3 <= v_3, v_n <= v_n] eval_start_6 ~> eval_start_bb1_in [v__0 <= v_1, v__0_sink <= v__0_sink, v_1 <= v_1, v_3 <= v_3, v_n <= v_n] eval_start_5 ~> eval_start_6 [v__0 <= v__0, v__0_sink <= v__0_sink, v_1 <= v_1, v_3 <= unknown, v_n <= v_n] eval_start_bb3_in ~> eval_start_5 [v__0 <= v__0, v__0_sink <= v__0_sink, v_1 <= v_1, v_3 <= v_3, v_n <= v_n] eval_start_bb2_in ~> eval_start_bb3_in [v__0 <= v__0, v__0_sink <= v__0_sink, v_1 <= v_n, v_3 <= v_3, v_n <= v_n] eval_start_6 ~> eval_start_bb2_in [v__0 <= v__0, v__0_sink <= v_1, v_1 <= v_1, v_3 <= v_3, v_n <= v_n] + Applied Processor: AbstractFlow + Details: () * Step 7: Lare WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [tick,huge,K,v__0,v__0_sink,v_1,v_3,v_n,0.0] 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_bb1_in [v_n ~=> v__0] eval_start_bb1_in ~> eval_start_bb2_in [v__0 ~=> v__0_sink] eval_start_bb1_in ~> eval_start_bb4_in [] eval_start_bb2_in ~> eval_start_bb3_in [v_n ~=> v_1] eval_start_bb2_in ~> eval_start_bb1_in [K ~=> v__0] eval_start_bb3_in ~> eval_start_5 [] eval_start_5 ~> eval_start_6 [huge ~=> v_3] eval_start_6 ~> eval_start_bb1_in [v_1 ~=> v__0] eval_start_6 ~> eval_start_bb2_in [v_1 ~=> v__0_sink] eval_start_bb4_in ~> eval_start_stop [] eval_start_stop ~> exitus616 [] + Loop: [v__0 ~+> 0.0,v_n ~+> 0.0,K ~+> 0.0] eval_start_bb1_in ~> eval_start_bb2_in [v__0 ~=> v__0_sink] eval_start_6 ~> eval_start_bb1_in [v_1 ~=> v__0] eval_start_5 ~> eval_start_6 [huge ~=> v_3] eval_start_bb3_in ~> eval_start_5 [] eval_start_bb2_in ~> eval_start_bb3_in [v_n ~=> v_1] eval_start_6 ~> eval_start_bb2_in [v_1 ~=> v__0_sink] + Applied Processor: Lare + Details: eval_start_start ~> exitus616 [v_n ~=> v_1 ,v_n ~=> v__0 ,v_n ~=> v__0_sink ,K ~=> v__0 ,huge ~=> v_3 ,v_n ~+> 0.0 ,v_n ~+> tick ,tick ~+> tick ,K ~+> 0.0 ,K ~+> tick ,v_n ~*> 0.0 ,v_n ~*> tick] + eval_start_bb2_in> [v__0 ~=> v__0_sink ,v_n ~=> v_1 ,v_n ~=> v__0 ,v_n ~=> v__0_sink ,huge ~=> v_3 ,v__0 ~+> 0.0 ,v__0 ~+> tick ,v_n ~+> 0.0 ,v_n ~+> tick ,tick ~+> tick ,K ~+> 0.0 ,K ~+> tick] eval_start_bb1_in> [v__0 ~=> v__0_sink ,v_n ~=> v_1 ,v_n ~=> v__0 ,v_n ~=> v__0_sink ,huge ~=> v_3 ,v__0 ~+> 0.0 ,v__0 ~+> tick ,v_n ~+> 0.0 ,v_n ~+> tick ,tick ~+> tick ,K ~+> 0.0 ,K ~+> tick] YES(?,POLY)