YES(?,POLY) * Step 1: UnsatRules WORST_CASE(?,POLY) + Considered Problem: Rules: 0. eval(A,B) -> eval(A + -1*B,B) [A >= 1 + B && A >= 1 && B >= 1] (?,1) 1. eval(A,B) -> eval(A + -1*B,B) [B >= 1 + A && A >= 1 && B >= 1 && A >= 1 + B] (?,1) 2. eval(A,B) -> eval(A,-1*A + B) [A >= 1 + B && A >= 1 && B >= 1 && B >= A] (?,1) 3. eval(A,B) -> eval(A,-1*A + B) [B >= 1 + A && A >= 1 && B >= 1 && B >= A] (?,1) 4. start(A,B) -> eval(A,B) True (1,1) Signature: {(eval,2);(start,2)} Flow Graph: [0->{0,1,2,3},1->{0,1,2,3},2->{0,1,2,3},3->{0,1,2,3},4->{0,1,2,3}] + Applied Processor: UnsatRules + Details: Following transitions have unsatisfiable constraints and are removed: [1,2] * Step 2: AddSinks WORST_CASE(?,POLY) + Considered Problem: Rules: 0. eval(A,B) -> eval(A + -1*B,B) [A >= 1 + B && A >= 1 && B >= 1] (?,1) 3. eval(A,B) -> eval(A,-1*A + B) [B >= 1 + A && A >= 1 && B >= 1 && B >= A] (?,1) 4. start(A,B) -> eval(A,B) True (1,1) Signature: {(eval,2);(start,2)} Flow Graph: [0->{0,3},3->{0,3},4->{0,3}] + Applied Processor: AddSinks + Details: () * Step 3: LooptreeTransformer WORST_CASE(?,POLY) + Considered Problem: Rules: 0. eval(A,B) -> eval(A + -1*B,B) [A >= 1 + B && A >= 1 && B >= 1] (?,1) 3. eval(A,B) -> eval(A,-1*A + B) [B >= 1 + A && A >= 1 && B >= 1 && B >= A] (?,1) 4. start(A,B) -> eval(A,B) True (1,1) 5. eval(A,B) -> exitus616(A,B) True (?,1) Signature: {(eval,2);(exitus616,2);(start,2)} Flow Graph: [0->{0,3,5},3->{0,3,5},4->{0,3,5},5->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,3,4,5] | `- p:[0,3] c: [3] | `- p:[0] c: [0] * Step 4: SizeAbstraction WORST_CASE(?,POLY) + Considered Problem: (Rules: 0. eval(A,B) -> eval(A + -1*B,B) [A >= 1 + B && A >= 1 && B >= 1] (?,1) 3. eval(A,B) -> eval(A,-1*A + B) [B >= 1 + A && A >= 1 && B >= 1 && B >= A] (?,1) 4. start(A,B) -> eval(A,B) True (1,1) 5. eval(A,B) -> exitus616(A,B) True (?,1) Signature: {(eval,2);(exitus616,2);(start,2)} Flow Graph: [0->{0,3,5},3->{0,3,5},4->{0,3,5},5->{}] ,We construct a looptree: P: [0,3,4,5] | `- p:[0,3] c: [3] | `- p:[0] c: [0]) + Applied Processor: SizeAbstraction UseCFG Minimize + Details: () * Step 5: FlowAbstraction WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [A,B,0.0,0.0.0] eval ~> eval [A <= A, B <= B] eval ~> eval [A <= A, B <= B] start ~> eval [A <= A, B <= B] eval ~> exitus616 [A <= A, B <= B] + Loop: [0.0 <= B] eval ~> eval [A <= A, B <= B] eval ~> eval [A <= A, B <= B] + Loop: [0.0.0 <= A] eval ~> eval [A <= A, B <= B] + Applied Processor: FlowAbstraction + Details: () * Step 6: LareProcessor WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [tick,huge,K,A,B,0.0,0.0.0] eval ~> eval [] eval ~> eval [] start ~> eval [] eval ~> exitus616 [] + Loop: [B ~=> 0.0] eval ~> eval [] eval ~> eval [] + Loop: [A ~=> 0.0.0] eval ~> eval [] + Applied Processor: LareProcessor + Details: start ~> exitus616 [A ~=> 0.0.0,B ~=> 0.0,A ~+> tick,B ~+> tick,tick ~+> tick,A ~*> tick,B ~*> tick] + eval> [A ~=> 0.0.0,B ~=> 0.0,A ~+> tick,B ~+> tick,tick ~+> tick,A ~*> tick,B ~*> tick] + eval> [A ~=> 0.0.0,A ~+> tick,tick ~+> tick] YES(?,POLY)