YES(?,O(1)) * Step 1: UnsatPaths WORST_CASE(?,O(1)) + Considered Problem: Rules: 0. f0(A,B,C) -> f8(0,B,C) True (1,1) 1. f8(A,B,C) -> f14(A,A,C) [A >= 0 && 9 >= A && 9 >= D] (?,1) 2. f8(A,B,C) -> f14(A,A,C) [A >= 0 && 9 >= A] (?,1) 3. f23(A,B,C) -> f28(A,B,D) [A >= 0 && 9 >= A && 0 >= 1 + E] (?,1) 4. f23(A,B,C) -> f28(A,B,D) [A >= 0 && 9 >= A] (?,1) 5. f23(A,B,C) -> f23(1 + A,B,C) [A >= 0 && 9 >= A] (?,1) 6. f28(A,B,C) -> f23(1 + A,B,C) [9 + -1*A >= 0 && A >= 0] (?,1) 7. f28(A,B,C) -> f23(1 + A,B,C) [9 + -1*A >= 0 && A >= 0 && 8 >= D] (?,1) 8. f23(A,B,C) -> f38(A,B,C) [A >= 0 && A >= 10] (?,1) 9. f8(A,B,C) -> f8(1 + A,A,C) [A >= 0 && 9 >= A] (?,1) 10. f14(A,B,C) -> f8(1 + A,B,C) [9 + -1*B >= 0 (?,1) && A + -1*B >= 0 && 18 + -1*A + -1*B >= 0 && B >= 0 && A + B >= 0 && -1*A + B >= 0 && 9 + -1*A >= 0 && A >= 0] 11. f14(A,B,C) -> f8(1 + A,B,C) [9 + -1*B >= 0 (?,1) && A + -1*B >= 0 && 18 + -1*A + -1*B >= 0 && B >= 0 && A + B >= 0 && -1*A + B >= 0 && 9 + -1*A >= 0 && A >= 0 && 8 >= D] 12. f8(A,B,C) -> f23(0,B,C) [A >= 0 && A >= 10] (?,1) Signature: {(f0,3);(f14,3);(f23,3);(f28,3);(f38,3);(f8,3)} Flow Graph: [0->{1,2,9,12},1->{10,11},2->{10,11},3->{6,7},4->{6,7},5->{3,4,5,8},6->{3,4,5,8},7->{3,4,5,8},8->{},9->{1 ,2,9,12},10->{1,2,9,12},11->{1,2,9,12},12->{3,4,5,8}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(0,12),(12,8)] * Step 2: FromIts WORST_CASE(?,O(1)) + Considered Problem: Rules: 0. f0(A,B,C) -> f8(0,B,C) True (1,1) 1. f8(A,B,C) -> f14(A,A,C) [A >= 0 && 9 >= A && 9 >= D] (?,1) 2. f8(A,B,C) -> f14(A,A,C) [A >= 0 && 9 >= A] (?,1) 3. f23(A,B,C) -> f28(A,B,D) [A >= 0 && 9 >= A && 0 >= 1 + E] (?,1) 4. f23(A,B,C) -> f28(A,B,D) [A >= 0 && 9 >= A] (?,1) 5. f23(A,B,C) -> f23(1 + A,B,C) [A >= 0 && 9 >= A] (?,1) 6. f28(A,B,C) -> f23(1 + A,B,C) [9 + -1*A >= 0 && A >= 0] (?,1) 7. f28(A,B,C) -> f23(1 + A,B,C) [9 + -1*A >= 0 && A >= 0 && 8 >= D] (?,1) 8. f23(A,B,C) -> f38(A,B,C) [A >= 0 && A >= 10] (?,1) 9. f8(A,B,C) -> f8(1 + A,A,C) [A >= 0 && 9 >= A] (?,1) 10. f14(A,B,C) -> f8(1 + A,B,C) [9 + -1*B >= 0 (?,1) && A + -1*B >= 0 && 18 + -1*A + -1*B >= 0 && B >= 0 && A + B >= 0 && -1*A + B >= 0 && 9 + -1*A >= 0 && A >= 0] 11. f14(A,B,C) -> f8(1 + A,B,C) [9 + -1*B >= 0 (?,1) && A + -1*B >= 0 && 18 + -1*A + -1*B >= 0 && B >= 0 && A + B >= 0 && -1*A + B >= 0 && 9 + -1*A >= 0 && A >= 0 && 8 >= D] 12. f8(A,B,C) -> f23(0,B,C) [A >= 0 && A >= 10] (?,1) Signature: {(f0,3);(f14,3);(f23,3);(f28,3);(f38,3);(f8,3)} Flow Graph: [0->{1,2,9},1->{10,11},2->{10,11},3->{6,7},4->{6,7},5->{3,4,5,8},6->{3,4,5,8},7->{3,4,5,8},8->{},9->{1,2,9 ,12},10->{1,2,9,12},11->{1,2,9,12},12->{3,4,5}] + Applied Processor: FromIts + Details: () * Step 3: Unfold WORST_CASE(?,O(1)) + Considered Problem: Rules: f0(A,B,C) -> f8(0,B,C) True f8(A,B,C) -> f14(A,A,C) [A >= 0 && 9 >= A && 9 >= D] f8(A,B,C) -> f14(A,A,C) [A >= 0 && 9 >= A] f23(A,B,C) -> f28(A,B,D) [A >= 0 && 9 >= A && 0 >= 1 + E] f23(A,B,C) -> f28(A,B,D) [A >= 0 && 9 >= A] f23(A,B,C) -> f23(1 + A,B,C) [A >= 0 && 9 >= A] f28(A,B,C) -> f23(1 + A,B,C) [9 + -1*A >= 0 && A >= 0] f28(A,B,C) -> f23(1 + A,B,C) [9 + -1*A >= 0 && A >= 0 && 8 >= D] f23(A,B,C) -> f38(A,B,C) [A >= 0 && A >= 10] f8(A,B,C) -> f8(1 + A,A,C) [A >= 0 && 9 >= A] f14(A,B,C) -> f8(1 + A,B,C) [9 + -1*B >= 0 && A + -1*B >= 0 && 18 + -1*A + -1*B >= 0 && B >= 0 && A + B >= 0 && -1*A + B >= 0 && 9 + -1*A >= 0 && A >= 0] f14(A,B,C) -> f8(1 + A,B,C) [9 + -1*B >= 0 && A + -1*B >= 0 && 18 + -1*A + -1*B >= 0 && B >= 0 && A + B >= 0 && -1*A + B >= 0 && 9 + -1*A >= 0 && A >= 0 && 8 >= D] f8(A,B,C) -> f23(0,B,C) [A >= 0 && A >= 10] Signature: {(f0,3);(f14,3);(f23,3);(f28,3);(f38,3);(f8,3)} Rule Graph: [0->{1,2,9},1->{10,11},2->{10,11},3->{6,7},4->{6,7},5->{3,4,5,8},6->{3,4,5,8},7->{3,4,5,8},8->{},9->{1,2,9 ,12},10->{1,2,9,12},11->{1,2,9,12},12->{3,4,5}] + Applied Processor: Unfold + Details: () * Step 4: AddSinks WORST_CASE(?,O(1)) + Considered Problem: Rules: f0.0(A,B,C) -> f8.1(0,B,C) True f0.0(A,B,C) -> f8.2(0,B,C) True f0.0(A,B,C) -> f8.9(0,B,C) True f8.1(A,B,C) -> f14.10(A,A,C) [A >= 0 && 9 >= A && 9 >= D] f8.1(A,B,C) -> f14.11(A,A,C) [A >= 0 && 9 >= A && 9 >= D] f8.2(A,B,C) -> f14.10(A,A,C) [A >= 0 && 9 >= A] f8.2(A,B,C) -> f14.11(A,A,C) [A >= 0 && 9 >= A] f23.3(A,B,C) -> f28.6(A,B,D) [A >= 0 && 9 >= A && 0 >= 1 + E] f23.3(A,B,C) -> f28.7(A,B,D) [A >= 0 && 9 >= A && 0 >= 1 + E] f23.4(A,B,C) -> f28.6(A,B,D) [A >= 0 && 9 >= A] f23.4(A,B,C) -> f28.7(A,B,D) [A >= 0 && 9 >= A] f23.5(A,B,C) -> f23.3(1 + A,B,C) [A >= 0 && 9 >= A] f23.5(A,B,C) -> f23.4(1 + A,B,C) [A >= 0 && 9 >= A] f23.5(A,B,C) -> f23.5(1 + A,B,C) [A >= 0 && 9 >= A] f23.5(A,B,C) -> f23.8(1 + A,B,C) [A >= 0 && 9 >= A] f28.6(A,B,C) -> f23.3(1 + A,B,C) [9 + -1*A >= 0 && A >= 0] f28.6(A,B,C) -> f23.4(1 + A,B,C) [9 + -1*A >= 0 && A >= 0] f28.6(A,B,C) -> f23.5(1 + A,B,C) [9 + -1*A >= 0 && A >= 0] f28.6(A,B,C) -> f23.8(1 + A,B,C) [9 + -1*A >= 0 && A >= 0] f28.7(A,B,C) -> f23.3(1 + A,B,C) [9 + -1*A >= 0 && A >= 0 && 8 >= D] f28.7(A,B,C) -> f23.4(1 + A,B,C) [9 + -1*A >= 0 && A >= 0 && 8 >= D] f28.7(A,B,C) -> f23.5(1 + A,B,C) [9 + -1*A >= 0 && A >= 0 && 8 >= D] f28.7(A,B,C) -> f23.8(1 + A,B,C) [9 + -1*A >= 0 && A >= 0 && 8 >= D] f23.8(A,B,C) -> f38.13(A,B,C) [A >= 0 && A >= 10] f8.9(A,B,C) -> f8.1(1 + A,A,C) [A >= 0 && 9 >= A] f8.9(A,B,C) -> f8.2(1 + A,A,C) [A >= 0 && 9 >= A] f8.9(A,B,C) -> f8.9(1 + A,A,C) [A >= 0 && 9 >= A] f8.9(A,B,C) -> f8.12(1 + A,A,C) [A >= 0 && 9 >= A] f14.10(A,B,C) -> f8.1(1 + A,B,C) [9 + -1*B >= 0 && A + -1*B >= 0 && 18 + -1*A + -1*B >= 0 && B >= 0 && A + B >= 0 && -1*A + B >= 0 && 9 + -1*A >= 0 && A >= 0] f14.10(A,B,C) -> f8.2(1 + A,B,C) [9 + -1*B >= 0 && A + -1*B >= 0 && 18 + -1*A + -1*B >= 0 && B >= 0 && A + B >= 0 && -1*A + B >= 0 && 9 + -1*A >= 0 && A >= 0] f14.10(A,B,C) -> f8.9(1 + A,B,C) [9 + -1*B >= 0 && A + -1*B >= 0 && 18 + -1*A + -1*B >= 0 && B >= 0 && A + B >= 0 && -1*A + B >= 0 && 9 + -1*A >= 0 && A >= 0] f14.10(A,B,C) -> f8.12(1 + A,B,C) [9 + -1*B >= 0 && A + -1*B >= 0 && 18 + -1*A + -1*B >= 0 && B >= 0 && A + B >= 0 && -1*A + B >= 0 && 9 + -1*A >= 0 && A >= 0] f14.11(A,B,C) -> f8.1(1 + A,B,C) [9 + -1*B >= 0 && A + -1*B >= 0 && 18 + -1*A + -1*B >= 0 && B >= 0 && A + B >= 0 && -1*A + B >= 0 && 9 + -1*A >= 0 && A >= 0 && 8 >= D] f14.11(A,B,C) -> f8.2(1 + A,B,C) [9 + -1*B >= 0 && A + -1*B >= 0 && 18 + -1*A + -1*B >= 0 && B >= 0 && A + B >= 0 && -1*A + B >= 0 && 9 + -1*A >= 0 && A >= 0 && 8 >= D] f14.11(A,B,C) -> f8.9(1 + A,B,C) [9 + -1*B >= 0 && A + -1*B >= 0 && 18 + -1*A + -1*B >= 0 && B >= 0 && A + B >= 0 && -1*A + B >= 0 && 9 + -1*A >= 0 && A >= 0 && 8 >= D] f14.11(A,B,C) -> f8.12(1 + A,B,C) [9 + -1*B >= 0 && A + -1*B >= 0 && 18 + -1*A + -1*B >= 0 && B >= 0 && A + B >= 0 && -1*A + B >= 0 && 9 + -1*A >= 0 && A >= 0 && 8 >= D] f8.12(A,B,C) -> f23.3(0,B,C) [A >= 0 && A >= 10] f8.12(A,B,C) -> f23.4(0,B,C) [A >= 0 && A >= 10] f8.12(A,B,C) -> f23.5(0,B,C) [A >= 0 && A >= 10] Signature: {(f0.0,3) ;(f14.10,3) ;(f14.11,3) ;(f23.3,3) ;(f23.4,3) ;(f23.5,3) ;(f23.8,3) ;(f28.6,3) ;(f28.7,3) ;(f38.13,3) ;(f8.1,3) ;(f8.12,3) ;(f8.2,3) ;(f8.9,3)} Rule Graph: [0->{3,4},1->{5,6},2->{24,25,26,27},3->{28,29,30,31},4->{32,33,34,35},5->{28,29,30,31},6->{32,33,34,35} ,7->{15,16,17,18},8->{19,20,21,22},9->{15,16,17,18},10->{19,20,21,22},11->{7,8},12->{9,10},13->{11,12,13,14} ,14->{23},15->{7,8},16->{9,10},17->{11,12,13,14},18->{23},19->{7,8},20->{9,10},21->{11,12,13,14},22->{23} ,23->{},24->{3,4},25->{5,6},26->{24,25,26,27},27->{36,37,38},28->{3,4},29->{5,6},30->{24,25,26,27},31->{36 ,37,38},32->{3,4},33->{5,6},34->{24,25,26,27},35->{36,37,38},36->{7,8},37->{9,10},38->{11,12,13,14}] + Applied Processor: AddSinks + Details: () * Step 5: Decompose WORST_CASE(?,O(1)) + Considered Problem: Rules: f0.0(A,B,C) -> f8.1(0,B,C) True f0.0(A,B,C) -> f8.2(0,B,C) True f0.0(A,B,C) -> f8.9(0,B,C) True f8.1(A,B,C) -> f14.10(A,A,C) [A >= 0 && 9 >= A && 9 >= D] f8.1(A,B,C) -> f14.11(A,A,C) [A >= 0 && 9 >= A && 9 >= D] f8.2(A,B,C) -> f14.10(A,A,C) [A >= 0 && 9 >= A] f8.2(A,B,C) -> f14.11(A,A,C) [A >= 0 && 9 >= A] f23.3(A,B,C) -> f28.6(A,B,D) [A >= 0 && 9 >= A && 0 >= 1 + E] f23.3(A,B,C) -> f28.7(A,B,D) [A >= 0 && 9 >= A && 0 >= 1 + E] f23.4(A,B,C) -> f28.6(A,B,D) [A >= 0 && 9 >= A] f23.4(A,B,C) -> f28.7(A,B,D) [A >= 0 && 9 >= A] f23.5(A,B,C) -> f23.3(1 + A,B,C) [A >= 0 && 9 >= A] f23.5(A,B,C) -> f23.4(1 + A,B,C) [A >= 0 && 9 >= A] f23.5(A,B,C) -> f23.5(1 + A,B,C) [A >= 0 && 9 >= A] f23.5(A,B,C) -> f23.8(1 + A,B,C) [A >= 0 && 9 >= A] f28.6(A,B,C) -> f23.3(1 + A,B,C) [9 + -1*A >= 0 && A >= 0] f28.6(A,B,C) -> f23.4(1 + A,B,C) [9 + -1*A >= 0 && A >= 0] f28.6(A,B,C) -> f23.5(1 + A,B,C) [9 + -1*A >= 0 && A >= 0] f28.6(A,B,C) -> f23.8(1 + A,B,C) [9 + -1*A >= 0 && A >= 0] f28.7(A,B,C) -> f23.3(1 + A,B,C) [9 + -1*A >= 0 && A >= 0 && 8 >= D] f28.7(A,B,C) -> f23.4(1 + A,B,C) [9 + -1*A >= 0 && A >= 0 && 8 >= D] f28.7(A,B,C) -> f23.5(1 + A,B,C) [9 + -1*A >= 0 && A >= 0 && 8 >= D] f28.7(A,B,C) -> f23.8(1 + A,B,C) [9 + -1*A >= 0 && A >= 0 && 8 >= D] f23.8(A,B,C) -> f38.13(A,B,C) [A >= 0 && A >= 10] f8.9(A,B,C) -> f8.1(1 + A,A,C) [A >= 0 && 9 >= A] f8.9(A,B,C) -> f8.2(1 + A,A,C) [A >= 0 && 9 >= A] f8.9(A,B,C) -> f8.9(1 + A,A,C) [A >= 0 && 9 >= A] f8.9(A,B,C) -> f8.12(1 + A,A,C) [A >= 0 && 9 >= A] f14.10(A,B,C) -> f8.1(1 + A,B,C) [9 + -1*B >= 0 && A + -1*B >= 0 && 18 + -1*A + -1*B >= 0 && B >= 0 && A + B >= 0 && -1*A + B >= 0 && 9 + -1*A >= 0 && A >= 0] f14.10(A,B,C) -> f8.2(1 + A,B,C) [9 + -1*B >= 0 && A + -1*B >= 0 && 18 + -1*A + -1*B >= 0 && B >= 0 && A + B >= 0 && -1*A + B >= 0 && 9 + -1*A >= 0 && A >= 0] f14.10(A,B,C) -> f8.9(1 + A,B,C) [9 + -1*B >= 0 && A + -1*B >= 0 && 18 + -1*A + -1*B >= 0 && B >= 0 && A + B >= 0 && -1*A + B >= 0 && 9 + -1*A >= 0 && A >= 0] f14.10(A,B,C) -> f8.12(1 + A,B,C) [9 + -1*B >= 0 && A + -1*B >= 0 && 18 + -1*A + -1*B >= 0 && B >= 0 && A + B >= 0 && -1*A + B >= 0 && 9 + -1*A >= 0 && A >= 0] f14.11(A,B,C) -> f8.1(1 + A,B,C) [9 + -1*B >= 0 && A + -1*B >= 0 && 18 + -1*A + -1*B >= 0 && B >= 0 && A + B >= 0 && -1*A + B >= 0 && 9 + -1*A >= 0 && A >= 0 && 8 >= D] f14.11(A,B,C) -> f8.2(1 + A,B,C) [9 + -1*B >= 0 && A + -1*B >= 0 && 18 + -1*A + -1*B >= 0 && B >= 0 && A + B >= 0 && -1*A + B >= 0 && 9 + -1*A >= 0 && A >= 0 && 8 >= D] f14.11(A,B,C) -> f8.9(1 + A,B,C) [9 + -1*B >= 0 && A + -1*B >= 0 && 18 + -1*A + -1*B >= 0 && B >= 0 && A + B >= 0 && -1*A + B >= 0 && 9 + -1*A >= 0 && A >= 0 && 8 >= D] f14.11(A,B,C) -> f8.12(1 + A,B,C) [9 + -1*B >= 0 && A + -1*B >= 0 && 18 + -1*A + -1*B >= 0 && B >= 0 && A + B >= 0 && -1*A + B >= 0 && 9 + -1*A >= 0 && A >= 0 && 8 >= D] f8.12(A,B,C) -> f23.3(0,B,C) [A >= 0 && A >= 10] f8.12(A,B,C) -> f23.4(0,B,C) [A >= 0 && A >= 10] f8.12(A,B,C) -> f23.5(0,B,C) [A >= 0 && A >= 10] f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True Signature: {(exitus616,3) ;(f0.0,3) ;(f14.10,3) ;(f14.11,3) ;(f23.3,3) ;(f23.4,3) ;(f23.5,3) ;(f23.8,3) ;(f28.6,3) ;(f28.7,3) ;(f38.13,3) ;(f8.1,3) ;(f8.12,3) ;(f8.2,3) ;(f8.9,3)} Rule Graph: [0->{3,4},1->{5,6},2->{24,25,26,27},3->{28,29,30,31},4->{32,33,34,35},5->{28,29,30,31},6->{32,33,34,35} ,7->{15,16,17,18},8->{19,20,21,22},9->{15,16,17,18},10->{19,20,21,22},11->{7,8},12->{9,10},13->{11,12,13,14} ,14->{23},15->{7,8},16->{9,10},17->{11,12,13,14},18->{23},19->{7,8},20->{9,10},21->{11,12,13,14},22->{23} ,23->{39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72 ,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105 ,106,107,108,109,110,111,112,113,114,115,116,117,118,119},24->{3,4},25->{5,6},26->{24,25,26,27},27->{36,37 ,38},28->{3,4},29->{5,6},30->{24,25,26,27},31->{36,37,38},32->{3,4},33->{5,6},34->{24,25,26,27},35->{36,37 ,38},36->{7,8},37->{9,10},38->{11,12,13,14}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119] | +- p:[3,24,26,30,5,25,34,4,28,32,6,29,33] c: [3,4,5,6,24,25,26,28,29,30,32,33,34] | `- p:[7,11,13,17,9,12,21,8,15,19,10,16,20] c: [7,8,9,10,11,12,13,15,16,17,19,20,21] * Step 6: AbstractSize WORST_CASE(?,O(1)) + Considered Problem: (Rules: f0.0(A,B,C) -> f8.1(0,B,C) True f0.0(A,B,C) -> f8.2(0,B,C) True f0.0(A,B,C) -> f8.9(0,B,C) True f8.1(A,B,C) -> f14.10(A,A,C) [A >= 0 && 9 >= A && 9 >= D] f8.1(A,B,C) -> f14.11(A,A,C) [A >= 0 && 9 >= A && 9 >= D] f8.2(A,B,C) -> f14.10(A,A,C) [A >= 0 && 9 >= A] f8.2(A,B,C) -> f14.11(A,A,C) [A >= 0 && 9 >= A] f23.3(A,B,C) -> f28.6(A,B,D) [A >= 0 && 9 >= A && 0 >= 1 + E] f23.3(A,B,C) -> f28.7(A,B,D) [A >= 0 && 9 >= A && 0 >= 1 + E] f23.4(A,B,C) -> f28.6(A,B,D) [A >= 0 && 9 >= A] f23.4(A,B,C) -> f28.7(A,B,D) [A >= 0 && 9 >= A] f23.5(A,B,C) -> f23.3(1 + A,B,C) [A >= 0 && 9 >= A] f23.5(A,B,C) -> f23.4(1 + A,B,C) [A >= 0 && 9 >= A] f23.5(A,B,C) -> f23.5(1 + A,B,C) [A >= 0 && 9 >= A] f23.5(A,B,C) -> f23.8(1 + A,B,C) [A >= 0 && 9 >= A] f28.6(A,B,C) -> f23.3(1 + A,B,C) [9 + -1*A >= 0 && A >= 0] f28.6(A,B,C) -> f23.4(1 + A,B,C) [9 + -1*A >= 0 && A >= 0] f28.6(A,B,C) -> f23.5(1 + A,B,C) [9 + -1*A >= 0 && A >= 0] f28.6(A,B,C) -> f23.8(1 + A,B,C) [9 + -1*A >= 0 && A >= 0] f28.7(A,B,C) -> f23.3(1 + A,B,C) [9 + -1*A >= 0 && A >= 0 && 8 >= D] f28.7(A,B,C) -> f23.4(1 + A,B,C) [9 + -1*A >= 0 && A >= 0 && 8 >= D] f28.7(A,B,C) -> f23.5(1 + A,B,C) [9 + -1*A >= 0 && A >= 0 && 8 >= D] f28.7(A,B,C) -> f23.8(1 + A,B,C) [9 + -1*A >= 0 && A >= 0 && 8 >= D] f23.8(A,B,C) -> f38.13(A,B,C) [A >= 0 && A >= 10] f8.9(A,B,C) -> f8.1(1 + A,A,C) [A >= 0 && 9 >= A] f8.9(A,B,C) -> f8.2(1 + A,A,C) [A >= 0 && 9 >= A] f8.9(A,B,C) -> f8.9(1 + A,A,C) [A >= 0 && 9 >= A] f8.9(A,B,C) -> f8.12(1 + A,A,C) [A >= 0 && 9 >= A] f14.10(A,B,C) -> f8.1(1 + A,B,C) [9 + -1*B >= 0 && A + -1*B >= 0 && 18 + -1*A + -1*B >= 0 && B >= 0 && A + B >= 0 && -1*A + B >= 0 && 9 + -1*A >= 0 && A >= 0] f14.10(A,B,C) -> f8.2(1 + A,B,C) [9 + -1*B >= 0 && A + -1*B >= 0 && 18 + -1*A + -1*B >= 0 && B >= 0 && A + B >= 0 && -1*A + B >= 0 && 9 + -1*A >= 0 && A >= 0] f14.10(A,B,C) -> f8.9(1 + A,B,C) [9 + -1*B >= 0 && A + -1*B >= 0 && 18 + -1*A + -1*B >= 0 && B >= 0 && A + B >= 0 && -1*A + B >= 0 && 9 + -1*A >= 0 && A >= 0] f14.10(A,B,C) -> f8.12(1 + A,B,C) [9 + -1*B >= 0 && A + -1*B >= 0 && 18 + -1*A + -1*B >= 0 && B >= 0 && A + B >= 0 && -1*A + B >= 0 && 9 + -1*A >= 0 && A >= 0] f14.11(A,B,C) -> f8.1(1 + A,B,C) [9 + -1*B >= 0 && A + -1*B >= 0 && 18 + -1*A + -1*B >= 0 && B >= 0 && A + B >= 0 && -1*A + B >= 0 && 9 + -1*A >= 0 && A >= 0 && 8 >= D] f14.11(A,B,C) -> f8.2(1 + A,B,C) [9 + -1*B >= 0 && A + -1*B >= 0 && 18 + -1*A + -1*B >= 0 && B >= 0 && A + B >= 0 && -1*A + B >= 0 && 9 + -1*A >= 0 && A >= 0 && 8 >= D] f14.11(A,B,C) -> f8.9(1 + A,B,C) [9 + -1*B >= 0 && A + -1*B >= 0 && 18 + -1*A + -1*B >= 0 && B >= 0 && A + B >= 0 && -1*A + B >= 0 && 9 + -1*A >= 0 && A >= 0 && 8 >= D] f14.11(A,B,C) -> f8.12(1 + A,B,C) [9 + -1*B >= 0 && A + -1*B >= 0 && 18 + -1*A + -1*B >= 0 && B >= 0 && A + B >= 0 && -1*A + B >= 0 && 9 + -1*A >= 0 && A >= 0 && 8 >= D] f8.12(A,B,C) -> f23.3(0,B,C) [A >= 0 && A >= 10] f8.12(A,B,C) -> f23.4(0,B,C) [A >= 0 && A >= 10] f8.12(A,B,C) -> f23.5(0,B,C) [A >= 0 && A >= 10] f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True f38.13(A,B,C) -> exitus616(A,B,C) True Signature: {(exitus616,3) ;(f0.0,3) ;(f14.10,3) ;(f14.11,3) ;(f23.3,3) ;(f23.4,3) ;(f23.5,3) ;(f23.8,3) ;(f28.6,3) ;(f28.7,3) ;(f38.13,3) ;(f8.1,3) ;(f8.12,3) ;(f8.2,3) ;(f8.9,3)} Rule Graph: [0->{3,4},1->{5,6},2->{24,25,26,27},3->{28,29,30,31},4->{32,33,34,35},5->{28,29,30,31},6->{32,33,34,35} ,7->{15,16,17,18},8->{19,20,21,22},9->{15,16,17,18},10->{19,20,21,22},11->{7,8},12->{9,10},13->{11,12,13,14} ,14->{23},15->{7,8},16->{9,10},17->{11,12,13,14},18->{23},19->{7,8},20->{9,10},21->{11,12,13,14},22->{23} ,23->{39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72 ,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105 ,106,107,108,109,110,111,112,113,114,115,116,117,118,119},24->{3,4},25->{5,6},26->{24,25,26,27},27->{36,37 ,38},28->{3,4},29->{5,6},30->{24,25,26,27},31->{36,37,38},32->{3,4},33->{5,6},34->{24,25,26,27},35->{36,37 ,38},36->{7,8},37->{9,10},38->{11,12,13,14}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119] | +- p:[3,24,26,30,5,25,34,4,28,32,6,29,33] c: [3,4,5,6,24,25,26,28,29,30,32,33,34] | `- p:[7,11,13,17,9,12,21,8,15,19,10,16,20] c: [7,8,9,10,11,12,13,15,16,17,19,20,21]) + Applied Processor: AbstractSize Minimize + Details: () * Step 7: AbstractFlow WORST_CASE(?,O(1)) + Considered Problem: Program: Domain: [A,B,C,0.0,0.1] f0.0 ~> f8.1 [A <= 0*K, B <= B, C <= C] f0.0 ~> f8.2 [A <= 0*K, B <= B, C <= C] f0.0 ~> f8.9 [A <= 0*K, B <= B, C <= C] f8.1 ~> f14.10 [A <= A, B <= A, C <= C] f8.1 ~> f14.11 [A <= A, B <= A, C <= C] f8.2 ~> f14.10 [A <= A, B <= A, C <= C] f8.2 ~> f14.11 [A <= A, B <= A, C <= C] f23.3 ~> f28.6 [A <= A, B <= B, C <= unknown] f23.3 ~> f28.7 [A <= A, B <= B, C <= unknown] f23.4 ~> f28.6 [A <= A, B <= B, C <= unknown] f23.4 ~> f28.7 [A <= A, B <= B, C <= unknown] f23.5 ~> f23.3 [A <= 10*K, B <= B, C <= C] f23.5 ~> f23.4 [A <= 10*K, B <= B, C <= C] f23.5 ~> f23.5 [A <= 10*K, B <= B, C <= C] f23.5 ~> f23.8 [A <= 10*K, B <= B, C <= C] f28.6 ~> f23.3 [A <= 10*K, B <= B, C <= C] f28.6 ~> f23.4 [A <= 10*K, B <= B, C <= C] f28.6 ~> f23.5 [A <= 10*K, B <= B, C <= C] f28.6 ~> f23.8 [A <= 10*K, B <= B, C <= C] f28.7 ~> f23.3 [A <= 10*K, B <= B, C <= C] f28.7 ~> f23.4 [A <= 10*K, B <= B, C <= C] f28.7 ~> f23.5 [A <= 10*K, B <= B, C <= C] f28.7 ~> f23.8 [A <= 10*K, B <= B, C <= C] f23.8 ~> f38.13 [A <= A, B <= B, C <= C] f8.9 ~> f8.1 [A <= 10*K, B <= A, C <= C] f8.9 ~> f8.2 [A <= 10*K, B <= A, C <= C] f8.9 ~> f8.9 [A <= 10*K, B <= A, C <= C] f8.9 ~> f8.12 [A <= 10*K, B <= A, C <= C] f14.10 ~> f8.1 [A <= 10*K, B <= B, C <= C] f14.10 ~> f8.2 [A <= 10*K, B <= B, C <= C] f14.10 ~> f8.9 [A <= 10*K, B <= B, C <= C] f14.10 ~> f8.12 [A <= 10*K, B <= B, C <= C] f14.11 ~> f8.1 [A <= 10*K, B <= B, C <= C] f14.11 ~> f8.2 [A <= 10*K, B <= B, C <= C] f14.11 ~> f8.9 [A <= 10*K, B <= B, C <= C] f14.11 ~> f8.12 [A <= 10*K, B <= B, C <= C] f8.12 ~> f23.3 [A <= 0*K, B <= B, C <= C] f8.12 ~> f23.4 [A <= 0*K, B <= B, C <= C] f8.12 ~> f23.5 [A <= 0*K, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] f38.13 ~> exitus616 [A <= A, B <= B, C <= C] + Loop: [0.0 <= 258*K + 27*A] f8.1 ~> f14.10 [A <= A, B <= A, C <= C] f8.9 ~> f8.1 [A <= 10*K, B <= A, C <= C] f8.9 ~> f8.9 [A <= 10*K, B <= A, C <= C] f14.10 ~> f8.9 [A <= 10*K, B <= B, C <= C] f8.2 ~> f14.10 [A <= A, B <= A, C <= C] f8.9 ~> f8.2 [A <= 10*K, B <= A, C <= C] f14.11 ~> f8.9 [A <= 10*K, B <= B, C <= C] f8.1 ~> f14.11 [A <= A, B <= A, C <= C] f14.10 ~> f8.1 [A <= 10*K, B <= B, C <= C] f14.11 ~> f8.1 [A <= 10*K, B <= B, C <= C] f8.2 ~> f14.11 [A <= A, B <= A, C <= C] f14.10 ~> f8.2 [A <= 10*K, B <= B, C <= C] f14.11 ~> f8.2 [A <= 10*K, B <= B, C <= C] + Loop: [0.1 <= 279*K + 27*A] f23.3 ~> f28.6 [A <= A, B <= B, C <= unknown] f23.5 ~> f23.3 [A <= 10*K, B <= B, C <= C] f23.5 ~> f23.5 [A <= 10*K, B <= B, C <= C] f28.6 ~> f23.5 [A <= 10*K, B <= B, C <= C] f23.4 ~> f28.6 [A <= A, B <= B, C <= unknown] f23.5 ~> f23.4 [A <= 10*K, B <= B, C <= C] f28.7 ~> f23.5 [A <= 10*K, B <= B, C <= C] f23.3 ~> f28.7 [A <= A, B <= B, C <= unknown] f28.6 ~> f23.3 [A <= 10*K, B <= B, C <= C] f28.7 ~> f23.3 [A <= 10*K, B <= B, C <= C] f23.4 ~> f28.7 [A <= A, B <= B, C <= unknown] f28.6 ~> f23.4 [A <= 10*K, B <= B, C <= C] f28.7 ~> f23.4 [A <= 10*K, B <= B, C <= C] + Applied Processor: AbstractFlow + Details: () * Step 8: Lare WORST_CASE(?,O(1)) + Considered Problem: Program: Domain: [tick,huge,K,A,B,C,0.0,0.1] f0.0 ~> f8.1 [K ~=> A] f0.0 ~> f8.2 [K ~=> A] f0.0 ~> f8.9 [K ~=> A] f8.1 ~> f14.10 [A ~=> B] f8.1 ~> f14.11 [A ~=> B] f8.2 ~> f14.10 [A ~=> B] f8.2 ~> f14.11 [A ~=> B] f23.3 ~> f28.6 [huge ~=> C] f23.3 ~> f28.7 [huge ~=> C] f23.4 ~> f28.6 [huge ~=> C] f23.4 ~> f28.7 [huge ~=> C] f23.5 ~> f23.3 [K ~=> A] f23.5 ~> f23.4 [K ~=> A] f23.5 ~> f23.5 [K ~=> A] f23.5 ~> f23.8 [K ~=> A] f28.6 ~> f23.3 [K ~=> A] f28.6 ~> f23.4 [K ~=> A] f28.6 ~> f23.5 [K ~=> A] f28.6 ~> f23.8 [K ~=> A] f28.7 ~> f23.3 [K ~=> A] f28.7 ~> f23.4 [K ~=> A] f28.7 ~> f23.5 [K ~=> A] f28.7 ~> f23.8 [K ~=> A] f23.8 ~> f38.13 [] f8.9 ~> f8.1 [A ~=> B,K ~=> A] f8.9 ~> f8.2 [A ~=> B,K ~=> A] f8.9 ~> f8.9 [A ~=> B,K ~=> A] f8.9 ~> f8.12 [A ~=> B,K ~=> A] f14.10 ~> f8.1 [K ~=> A] f14.10 ~> f8.2 [K ~=> A] f14.10 ~> f8.9 [K ~=> A] f14.10 ~> f8.12 [K ~=> A] f14.11 ~> f8.1 [K ~=> A] f14.11 ~> f8.2 [K ~=> A] f14.11 ~> f8.9 [K ~=> A] f14.11 ~> f8.12 [K ~=> A] f8.12 ~> f23.3 [K ~=> A] f8.12 ~> f23.4 [K ~=> A] f8.12 ~> f23.5 [K ~=> A] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] f38.13 ~> exitus616 [] + Loop: [A ~*> 0.0,K ~*> 0.0] f8.1 ~> f14.10 [A ~=> B] f8.9 ~> f8.1 [A ~=> B,K ~=> A] f8.9 ~> f8.9 [A ~=> B,K ~=> A] f14.10 ~> f8.9 [K ~=> A] f8.2 ~> f14.10 [A ~=> B] f8.9 ~> f8.2 [A ~=> B,K ~=> A] f14.11 ~> f8.9 [K ~=> A] f8.1 ~> f14.11 [A ~=> B] f14.10 ~> f8.1 [K ~=> A] f14.11 ~> f8.1 [K ~=> A] f8.2 ~> f14.11 [A ~=> B] f14.10 ~> f8.2 [K ~=> A] f14.11 ~> f8.2 [K ~=> A] + Loop: [A ~*> 0.1,K ~*> 0.1] f23.3 ~> f28.6 [huge ~=> C] f23.5 ~> f23.3 [K ~=> A] f23.5 ~> f23.5 [K ~=> A] f28.6 ~> f23.5 [K ~=> A] f23.4 ~> f28.6 [huge ~=> C] f23.5 ~> f23.4 [K ~=> A] f28.7 ~> f23.5 [K ~=> A] f23.3 ~> f28.7 [huge ~=> C] f28.6 ~> f23.3 [K ~=> A] f28.7 ~> f23.3 [K ~=> A] f23.4 ~> f28.7 [huge ~=> C] f28.6 ~> f23.4 [K ~=> A] f28.7 ~> f23.4 [K ~=> A] + Applied Processor: Lare + Details: f0.0 ~> exitus616 [K ~=> A,K ~=> B,huge ~=> C,tick ~+> tick,K ~*> 0.0,K ~*> 0.1,K ~*> tick] + f14.10> [A ~=> B,K ~=> A,K ~=> B,tick ~+> tick,A ~*> 0.0,A ~*> tick,K ~*> 0.0,K ~*> tick] f14.11> [A ~=> B,K ~=> A,K ~=> B,tick ~+> tick,A ~*> 0.0,A ~*> tick,K ~*> 0.0,K ~*> tick] f8.9> [A ~=> B,K ~=> A,K ~=> B,tick ~+> tick,A ~*> 0.0,A ~*> tick,K ~*> 0.0,K ~*> tick] f14.10> [A ~=> B,K ~=> A,K ~=> B,tick ~+> tick,A ~*> 0.0,A ~*> tick,K ~*> 0.0,K ~*> tick] f14.11> [A ~=> B,K ~=> A,K ~=> B,tick ~+> tick,A ~*> 0.0,A ~*> tick,K ~*> 0.0,K ~*> tick] f8.9> [A ~=> B,K ~=> A,K ~=> B,tick ~+> tick,A ~*> 0.0,A ~*> tick,K ~*> 0.0,K ~*> tick] f14.10> [A ~=> B,K ~=> A,K ~=> B,tick ~+> tick,A ~*> 0.0,A ~*> tick,K ~*> 0.0,K ~*> tick] f14.11> [A ~=> B,K ~=> A,K ~=> B,tick ~+> tick,A ~*> 0.0,A ~*> tick,K ~*> 0.0,K ~*> tick] f8.9> [A ~=> B,K ~=> A,K ~=> B,tick ~+> tick,A ~*> 0.0,A ~*> tick,K ~*> 0.0,K ~*> tick] + f28.6> [K ~=> A,huge ~=> C,tick ~+> tick,A ~*> 0.1,A ~*> tick,K ~*> 0.1,K ~*> tick] f28.7> [K ~=> A,huge ~=> C,tick ~+> tick,A ~*> 0.1,A ~*> tick,K ~*> 0.1,K ~*> tick] f23.5> [K ~=> A,huge ~=> C,tick ~+> tick,A ~*> 0.1,A ~*> tick,K ~*> 0.1,K ~*> tick] f28.6> [K ~=> A,huge ~=> C,tick ~+> tick,A ~*> 0.1,A ~*> tick,K ~*> 0.1,K ~*> tick] f28.7> [K ~=> A,huge ~=> C,tick ~+> tick,A ~*> 0.1,A ~*> tick,K ~*> 0.1,K ~*> tick] f23.5> [K ~=> A,huge ~=> C,tick ~+> tick,A ~*> 0.1,A ~*> tick,K ~*> 0.1,K ~*> tick] f28.6> [K ~=> A,huge ~=> C,tick ~+> tick,A ~*> 0.1,A ~*> tick,K ~*> 0.1,K ~*> tick] f28.7> [K ~=> A,huge ~=> C,tick ~+> tick,A ~*> 0.1,A ~*> tick,K ~*> 0.1,K ~*> tick] f23.5> [K ~=> A,huge ~=> C,tick ~+> tick,A ~*> 0.1,A ~*> tick,K ~*> 0.1,K ~*> tick] YES(?,O(1))