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