YES(?,PRIMREC) * Step 1: FromIts MAYBE + Considered Problem: Rules: 0. eval_start_start(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb0_in(v__0,v__01,v__1,v_1,v_n,v_y) True (1,1) 1. eval_start_bb0_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_0(v__0,v__01,v__1,v_1,v_n,v_y) True (?,1) 2. eval_start_0(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_1(v__0,v__01,v__1,v_1,v_n,v_y) True (?,1) 3. eval_start_1(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_2(v__0,v__01,v__1,v_1,v_n,v_y) True (?,1) 4. eval_start_2(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_3(v__0,v__01,v__1,v_1,v_n,v_y) True (?,1) 5. eval_start_3(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_4(v__0,v__01,v__1,v_1,v_n,v_y) True (?,1) 6. eval_start_4(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_5(v__0,v__01,v__1,v_1,v_n,v_y) True (?,1) 7. eval_start_5(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb1_in(v_n,v_y,v__1,v_1,v_n,v_y) True (?,1) 8. eval_start_bb1_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb2_in(v__0,v__01,v__1,v_1,v_n,v_y) [-1 >= v__0] (?,1) 9. eval_start_bb1_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb5_in(v__0,v__01,v__1,v_1,v_n,v_y) [v__0 >= 0] (?,1) 10. eval_start_bb2_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb3_in(v__0,v__01,1000 + v__01,1 + v__0,v_n,v_y) True (?,1) 11. eval_start_bb3_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb4_in(v__0,v__01,v__1,v_1,v_n,v_y) [v__1 >= 100] (?,1) 12. eval_start_bb3_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb1_in(v_1,v__1,v__1,v_1,v_n,v_y) [99 >= v__1] (?,1) 13. eval_start_bb4_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb3_in(v__0,v__01,-100 + v__1,v_1,v_n,v_y) True (?,1) 14. eval_start_bb5_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_stop(v__0,v__01,v__1,v_1,v_n,v_y) True (?,1) Signature: {(eval_start_0,6) ;(eval_start_1,6) ;(eval_start_2,6) ;(eval_start_3,6) ;(eval_start_4,6) ;(eval_start_5,6) ;(eval_start_bb0_in,6) ;(eval_start_bb1_in,6) ;(eval_start_bb2_in,6) ;(eval_start_bb3_in,6) ;(eval_start_bb4_in,6) ;(eval_start_bb5_in,6) ;(eval_start_start,6) ;(eval_start_stop,6)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8,9},8->{10},9->{14},10->{11,12},11->{13},12->{8,9} ,13->{11,12},14->{}] + Applied Processor: FromIts + Details: () * Step 2: AddSinks MAYBE + Considered Problem: Rules: eval_start_start(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb0_in(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_bb0_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_0(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_0(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_1(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_1(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_2(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_2(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_3(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_3(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_4(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_4(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_5(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_5(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb1_in(v_n,v_y,v__1,v_1,v_n ,v_y) True eval_start_bb1_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb2_in(v__0,v__01,v__1,v_1,v_n ,v_y) [-1 >= v__0] eval_start_bb1_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb5_in(v__0,v__01,v__1,v_1,v_n ,v_y) [v__0 >= 0] eval_start_bb2_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb3_in(v__0,v__01,1000 + v__01,1 + v__0,v_n ,v_y) True eval_start_bb3_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb4_in(v__0,v__01,v__1,v_1,v_n ,v_y) [v__1 >= 100] eval_start_bb3_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb1_in(v_1,v__1,v__1,v_1,v_n ,v_y) [99 >= v__1] eval_start_bb4_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb3_in(v__0,v__01,-100 + v__1,v_1,v_n ,v_y) True eval_start_bb5_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_stop(v__0,v__01,v__1,v_1,v_n ,v_y) True Signature: {(eval_start_0,6) ;(eval_start_1,6) ;(eval_start_2,6) ;(eval_start_3,6) ;(eval_start_4,6) ;(eval_start_5,6) ;(eval_start_bb0_in,6) ;(eval_start_bb1_in,6) ;(eval_start_bb2_in,6) ;(eval_start_bb3_in,6) ;(eval_start_bb4_in,6) ;(eval_start_bb5_in,6) ;(eval_start_start,6) ;(eval_start_stop,6)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8,9},8->{10},9->{14},10->{11,12},11->{13},12->{8,9} ,13->{11,12},14->{}] + Applied Processor: AddSinks + Details: () * Step 3: Decompose MAYBE + Considered Problem: Rules: eval_start_start(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb0_in(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_bb0_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_0(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_0(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_1(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_1(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_2(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_2(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_3(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_3(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_4(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_4(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_5(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_5(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb1_in(v_n,v_y,v__1,v_1,v_n ,v_y) True eval_start_bb1_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb2_in(v__0,v__01,v__1,v_1,v_n ,v_y) [-1 >= v__0] eval_start_bb1_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb5_in(v__0,v__01,v__1,v_1,v_n ,v_y) [v__0 >= 0] eval_start_bb2_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb3_in(v__0,v__01,1000 + v__01,1 + v__0,v_n ,v_y) True eval_start_bb3_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb4_in(v__0,v__01,v__1,v_1,v_n ,v_y) [v__1 >= 100] eval_start_bb3_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb1_in(v_1,v__1,v__1,v_1,v_n ,v_y) [99 >= v__1] eval_start_bb4_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb3_in(v__0,v__01,-100 + v__1,v_1,v_n ,v_y) True eval_start_bb5_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_stop(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_stop(v__0,v__01,v__1,v_1,v_n,v_y) -> exitus616(v__0,v__01,v__1,v_1,v_n ,v_y) True Signature: {(eval_start_0,6) ;(eval_start_1,6) ;(eval_start_2,6) ;(eval_start_3,6) ;(eval_start_4,6) ;(eval_start_5,6) ;(eval_start_bb0_in,6) ;(eval_start_bb1_in,6) ;(eval_start_bb2_in,6) ;(eval_start_bb3_in,6) ;(eval_start_bb4_in,6) ;(eval_start_bb5_in,6) ;(eval_start_start,6) ;(eval_start_stop,6) ;(exitus616,6)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8,9},8->{10},9->{14},10->{11,12},11->{13},12->{8,9} ,13->{11,12},14->{15}] + 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] | `- p:[8,12,10,13,11] c: [8,10,12] | `- p:[11,13] c: [11,13] * Step 4: AbstractSize MAYBE + Considered Problem: (Rules: eval_start_start(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb0_in(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_bb0_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_0(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_0(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_1(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_1(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_2(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_2(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_3(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_3(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_4(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_4(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_5(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_5(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb1_in(v_n,v_y,v__1,v_1,v_n ,v_y) True eval_start_bb1_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb2_in(v__0,v__01,v__1,v_1,v_n ,v_y) [-1 >= v__0] eval_start_bb1_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb5_in(v__0,v__01,v__1,v_1,v_n ,v_y) [v__0 >= 0] eval_start_bb2_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb3_in(v__0,v__01,1000 + v__01,1 + v__0,v_n ,v_y) True eval_start_bb3_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb4_in(v__0,v__01,v__1,v_1,v_n ,v_y) [v__1 >= 100] eval_start_bb3_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb1_in(v_1,v__1,v__1,v_1,v_n ,v_y) [99 >= v__1] eval_start_bb4_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_bb3_in(v__0,v__01,-100 + v__1,v_1,v_n ,v_y) True eval_start_bb5_in(v__0,v__01,v__1,v_1,v_n,v_y) -> eval_start_stop(v__0,v__01,v__1,v_1,v_n ,v_y) True eval_start_stop(v__0,v__01,v__1,v_1,v_n,v_y) -> exitus616(v__0,v__01,v__1,v_1,v_n ,v_y) True Signature: {(eval_start_0,6) ;(eval_start_1,6) ;(eval_start_2,6) ;(eval_start_3,6) ;(eval_start_4,6) ;(eval_start_5,6) ;(eval_start_bb0_in,6) ;(eval_start_bb1_in,6) ;(eval_start_bb2_in,6) ;(eval_start_bb3_in,6) ;(eval_start_bb4_in,6) ;(eval_start_bb5_in,6) ;(eval_start_start,6) ;(eval_start_stop,6) ;(exitus616,6)} Rule Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8,9},8->{10},9->{14},10->{11,12},11->{13},12->{8,9} ,13->{11,12},14->{15}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15] | `- p:[8,12,10,13,11] c: [8,10,12] | `- p:[11,13] c: [11,13]) + Applied Processor: AbstractSize Minimize + Details: () * Step 5: AbstractFlow MAYBE + Considered Problem: Program: Domain: [v__0,v__01,v__1,v_1,v_n,v_y,0.0,0.0.0] eval_start_start ~> eval_start_bb0_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v_1 <= v_1, v_n <= v_n, v_y <= v_y] eval_start_bb0_in ~> eval_start_0 [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v_1 <= v_1, v_n <= v_n, v_y <= v_y] eval_start_0 ~> eval_start_1 [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v_1 <= v_1, v_n <= v_n, v_y <= v_y] eval_start_1 ~> eval_start_2 [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v_1 <= v_1, v_n <= v_n, v_y <= v_y] eval_start_2 ~> eval_start_3 [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v_1 <= v_1, v_n <= v_n, v_y <= v_y] eval_start_3 ~> eval_start_4 [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v_1 <= v_1, v_n <= v_n, v_y <= v_y] eval_start_4 ~> eval_start_5 [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v_1 <= v_1, v_n <= v_n, v_y <= v_y] eval_start_5 ~> eval_start_bb1_in [v__0 <= v_n, v__01 <= v_y, v__1 <= v__1, v_1 <= v_1, v_n <= v_n, v_y <= v_y] eval_start_bb1_in ~> eval_start_bb2_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v_1 <= v_1, v_n <= v_n, v_y <= v_y] eval_start_bb1_in ~> eval_start_bb5_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v_1 <= v_1, v_n <= v_n, v_y <= v_y] eval_start_bb2_in ~> eval_start_bb3_in [v__0 <= v__0, v__01 <= v__01, v__1 <= 1000*K + v__01, v_1 <= K + v__0, v_n <= v_n, v_y <= v_y] eval_start_bb3_in ~> eval_start_bb4_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v_1 <= v_1, v_n <= v_n, v_y <= v_y] eval_start_bb3_in ~> eval_start_bb1_in [v__0 <= v_1, v__01 <= v__1, v__1 <= v__1, v_1 <= v_1, v_n <= v_n, v_y <= v_y] eval_start_bb4_in ~> eval_start_bb3_in [v__0 <= v__0, v__01 <= v__01, v__1 <= 100*K + v__1, v_1 <= v_1, v_n <= v_n, v_y <= v_y] eval_start_bb5_in ~> eval_start_stop [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v_1 <= v_1, v_n <= v_n, v_y <= v_y] eval_start_stop ~> exitus616 [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v_1 <= v_1, v_n <= v_n, v_y <= v_y] + Loop: [0.0 <= v__0] eval_start_bb1_in ~> eval_start_bb2_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v_1 <= v_1, v_n <= v_n, v_y <= v_y] eval_start_bb3_in ~> eval_start_bb1_in [v__0 <= v_1, v__01 <= v__1, v__1 <= v__1, v_1 <= v_1, v_n <= v_n, v_y <= v_y] eval_start_bb2_in ~> eval_start_bb3_in [v__0 <= v__0, v__01 <= v__01, v__1 <= 1000*K + v__01, v_1 <= K + v__0, v_n <= v_n, v_y <= v_y] eval_start_bb4_in ~> eval_start_bb3_in [v__0 <= v__0, v__01 <= v__01, v__1 <= 100*K + v__1, v_1 <= v_1, v_n <= v_n, v_y <= v_y] eval_start_bb3_in ~> eval_start_bb4_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v_1 <= v_1, v_n <= v_n, v_y <= v_y] + Loop: [0.0.0 <= 100*K + v__1] eval_start_bb3_in ~> eval_start_bb4_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v_1 <= v_1, v_n <= v_n, v_y <= v_y] eval_start_bb4_in ~> eval_start_bb3_in [v__0 <= v__0, v__01 <= v__01, v__1 <= 100*K + v__1, v_1 <= v_1, v_n <= v_n, v_y <= v_y] + Applied Processor: AbstractFlow + Details: () * Step 6: Lare MAYBE + Considered Problem: Program: Domain: [tick,huge,K,v__0,v__01,v__1,v_1,v_n,v_y,0.0,0.0.0] 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_3 [] eval_start_3 ~> eval_start_4 [] eval_start_4 ~> eval_start_5 [] eval_start_5 ~> eval_start_bb1_in [v_n ~=> v__0,v_y ~=> v__01] eval_start_bb1_in ~> eval_start_bb2_in [] eval_start_bb1_in ~> eval_start_bb5_in [] eval_start_bb2_in ~> eval_start_bb3_in [v__0 ~+> v_1,v__01 ~+> v__1,K ~+> v_1,K ~*> v__1] eval_start_bb3_in ~> eval_start_bb4_in [] eval_start_bb3_in ~> eval_start_bb1_in [v_1 ~=> v__0,v__1 ~=> v__01] eval_start_bb4_in ~> eval_start_bb3_in [v__1 ~+> v__1,K ~*> v__1] eval_start_bb5_in ~> eval_start_stop [] eval_start_stop ~> exitus616 [] + Loop: [v__0 ~=> 0.0] eval_start_bb1_in ~> eval_start_bb2_in [] eval_start_bb3_in ~> eval_start_bb1_in [v_1 ~=> v__0,v__1 ~=> v__01] eval_start_bb2_in ~> eval_start_bb3_in [v__0 ~+> v_1,v__01 ~+> v__1,K ~+> v_1,K ~*> v__1] eval_start_bb4_in ~> eval_start_bb3_in [v__1 ~+> v__1,K ~*> v__1] eval_start_bb3_in ~> eval_start_bb4_in [] + Loop: [v__1 ~+> 0.0.0,K ~*> 0.0.0] eval_start_bb3_in ~> eval_start_bb4_in [] eval_start_bb4_in ~> eval_start_bb3_in [v__1 ~+> v__1,K ~*> v__1] + Applied Processor: Lare + Details: eval_start_start ~> exitus616 [v_n ~=> v__0 ,v_n ~=> 0.0 ,v_y ~=> v__01 ,v_n ~+> v_1 ,v_n ~+> v__0 ,v_n ~+> tick ,v_y ~+> v__01 ,v_y ~+> v__1 ,v_y ~+> 0.0.0 ,v_y ~+> tick ,tick ~+> tick ,K ~+> v_1 ,K ~+> v__0 ,v_n ~*> v__0 ,v_n ~*> v__01 ,v_n ~*> v__1 ,v_n ~*> 0.0.0 ,v_n ~*> tick ,v_y ~*> v__01 ,v_y ~*> v__1 ,v_y ~*> 0.0.0 ,v_y ~*> tick ,K ~*> v_1 ,K ~*> v__0 ,K ~*> v__01 ,K ~*> v__1 ,K ~*> 0.0.0 ,K ~*> tick ,v_n ~^> v__01 ,v_n ~^> v__1 ,v_n ~^> 0.0.0 ,v_n ~^> tick] + eval_start_bb1_in> [v__0 ~=> 0.0 ,v__0 ~+> v_1 ,v__0 ~+> v__0 ,v__0 ~+> tick ,v__01 ~+> v__01 ,v__01 ~+> v__1 ,v__01 ~+> 0.0.0 ,v__01 ~+> tick ,tick ~+> tick ,K ~+> v_1 ,K ~+> v__0 ,v__0 ~*> v__0 ,v__0 ~*> v__01 ,v__0 ~*> v__1 ,v__0 ~*> 0.0.0 ,v__0 ~*> tick ,v__01 ~*> v__01 ,v__01 ~*> v__1 ,v__01 ~*> 0.0.0 ,v__01 ~*> tick ,K ~*> v_1 ,K ~*> v__0 ,K ~*> v__01 ,K ~*> v__1 ,K ~*> 0.0.0 ,K ~*> tick ,v__0 ~^> v__01 ,v__0 ~^> v__1 ,v__0 ~^> 0.0.0 ,v__0 ~^> tick] + eval_start_bb3_in> [v__1 ~+> v__1 ,v__1 ~+> 0.0.0 ,v__1 ~+> tick ,tick ~+> tick ,v__1 ~*> v__1 ,K ~*> v__1 ,K ~*> 0.0.0 ,K ~*> tick] YES(?,PRIMREC)