YES(?,POLY) * Step 1: AddSinks WORST_CASE(?,POLY) + Considered Problem: Rules: 0. merge(A,B) -> merge(-1 + A,B) [A >= 1 && B >= 1] (?,1) 1. merge(A,B) -> merge(A,-1 + B) [A >= 1 && B >= 1] (?,1) 2. start(A,B) -> merge(A,B) True (1,1) Signature: {(merge,2);(start,2)} Flow Graph: [0->{0,1},1->{0,1},2->{0,1}] + Applied Processor: AddSinks + Details: () * Step 2: LooptreeTransformer WORST_CASE(?,POLY) + Considered Problem: Rules: 0. merge(A,B) -> merge(-1 + A,B) [A >= 1 && B >= 1] (?,1) 1. merge(A,B) -> merge(A,-1 + B) [A >= 1 && B >= 1] (?,1) 2. start(A,B) -> merge(A,B) True (1,1) 3. merge(A,B) -> exitus616(A,B) True (?,1) Signature: {(exitus616,2);(merge,2);(start,2)} Flow Graph: [0->{0,1,3},1->{0,1,3},2->{0,1,3},3->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,2,3] | `- p:[0,1] c: [1] | `- p:[0] c: [0] * Step 3: SizeAbstraction WORST_CASE(?,POLY) + Considered Problem: (Rules: 0. merge(A,B) -> merge(-1 + A,B) [A >= 1 && B >= 1] (?,1) 1. merge(A,B) -> merge(A,-1 + B) [A >= 1 && B >= 1] (?,1) 2. start(A,B) -> merge(A,B) True (1,1) 3. merge(A,B) -> exitus616(A,B) True (?,1) Signature: {(exitus616,2);(merge,2);(start,2)} Flow Graph: [0->{0,1,3},1->{0,1,3},2->{0,1,3},3->{}] ,We construct a looptree: P: [0,1,2,3] | `- p:[0,1] c: [1] | `- p:[0] c: [0]) + Applied Processor: SizeAbstraction UseCFG Minimize + Details: () * Step 4: FlowAbstraction WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [A,B,0.0,0.0.0] merge ~> merge [A <= A, B <= B] merge ~> merge [A <= A, B <= B] start ~> merge [A <= A, B <= B] merge ~> exitus616 [A <= A, B <= B] + Loop: [0.0 <= B] merge ~> merge [A <= A, B <= B] merge ~> merge [A <= A, B <= B] + Loop: [0.0.0 <= A] merge ~> merge [A <= A, B <= B] + Applied Processor: FlowAbstraction + Details: () * Step 5: LareProcessor WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [tick,huge,K,A,B,0.0,0.0.0] merge ~> merge [] merge ~> merge [] start ~> merge [] merge ~> exitus616 [] + Loop: [B ~=> 0.0] merge ~> merge [] merge ~> merge [] + Loop: [A ~=> 0.0.0] merge ~> merge [] + Applied Processor: LareProcessor + Details: start ~> exitus616 [A ~=> 0.0.0,B ~=> 0.0,A ~+> tick,B ~+> tick,tick ~+> tick,A ~*> tick,B ~*> tick] + merge> [A ~=> 0.0.0,B ~=> 0.0,A ~+> tick,B ~+> tick,tick ~+> tick,A ~*> tick,B ~*> tick] + merge> [A ~=> 0.0.0,A ~+> tick,tick ~+> tick] YES(?,POLY)