WORST_CASE(Omega(0),?) Initial ITS Start location: l15 0: l0 -> l1 : Index2^0'=Index2^post0, factor^0'=factor^post0, Sorted5^0'=Sorted5^post0, fact3^0'=fact3^post0, Index7^0'=Index7^post0, i8^0'=i8^post0, Temp6^0'=Temp6^post0, (101-Index2^0 <= 0 /\ factor^0-factor^post0 == 0 /\ Index2^0-Index2^post0 == 0 /\ -1+i8^post0 == 0 /\ Sorted5^post0 == 0 /\ -Temp6^post0+Temp6^0 == 0 /\ Index7^0-Index7^post0 == 0 /\ -fact3^post0+fact3^0 == 0), cost: 1 1: l0 -> l2 : Index2^0'=Index2^post1, factor^0'=factor^post1, Sorted5^0'=Sorted5^post1, fact3^0'=fact3^post1, Index7^0'=Index7^post1, i8^0'=i8^post1, Temp6^0'=Temp6^post1, (fact3^0-fact3^post1 == 0 /\ -1-Index2^0+Index2^post1 == 0 /\ -100+Index2^0 <= 0 /\ Index7^0-Index7^post1 == 0 /\ -Temp6^post1+Temp6^0 == 0 /\ factor^0-factor^post1 == 0 /\ Sorted5^0-Sorted5^post1 == 0 /\ -i8^post1+i8^0 == 0), cost: 1 10: l1 -> l10 : Index2^0'=Index2^post10, factor^0'=factor^post10, Sorted5^0'=Sorted5^post10, fact3^0'=fact3^post10, Index7^0'=Index7^post10, i8^0'=i8^post10, Temp6^0'=Temp6^post10, (-Temp6^post10+Temp6^0 == 0 /\ Sorted5^0-Sorted5^post10 == 0 /\ -fact3^post10+fact3^0 == 0 /\ factor^0-factor^post10 == 0 /\ Index2^0-Index2^post10 == 0 /\ -i8^post10+i8^0 == 0 /\ -Index7^post10+Index7^0 == 0), cost: 1 2: l2 -> l0 : Index2^0'=Index2^post2, factor^0'=factor^post2, Sorted5^0'=Sorted5^post2, fact3^0'=fact3^post2, Index7^0'=Index7^post2, i8^0'=i8^post2, Temp6^0'=Temp6^post2, (-i8^post2+i8^0 == 0 /\ -Temp6^post2+Temp6^0 == 0 /\ Index2^0-Index2^post2 == 0 /\ fact3^0-fact3^post2 == 0 /\ -Index7^post2+Index7^0 == 0 /\ factor^0-factor^post2 == 0 /\ Sorted5^0-Sorted5^post2 == 0), cost: 1 3: l3 -> l4 : Index2^0'=Index2^post3, factor^0'=factor^post3, Sorted5^0'=Sorted5^post3, fact3^0'=fact3^post3, Index7^0'=Index7^post3, i8^0'=i8^post3, Temp6^0'=Temp6^post3, (Index2^0-Index2^post3 == 0 /\ factor^0-factor^post3 == 0 /\ Sorted5^0-Sorted5^post3 == 0 /\ -Index7^post3+Index7^0 == 0 /\ -Temp6^post3+Temp6^0 == 0 /\ -i8^post3+i8^0 == 0 /\ fact3^0-fact3^post3 == 0), cost: 1 4: l5 -> l3 : Index2^0'=Index2^post4, factor^0'=factor^post4, Sorted5^0'=Sorted5^post4, fact3^0'=fact3^post4, Index7^0'=Index7^post4, i8^0'=i8^post4, Temp6^0'=Temp6^post4, (-Index7^post4+Index7^0 == 0 /\ -Temp6^post4+Temp6^0 == 0 /\ factor^0-factor^post4 == 0 /\ Sorted5^0-Sorted5^post4 == 0 /\ Index2^0-Index2^post4 == 0 /\ fact3^0-fact3^post4 == 0 /\ -i8^post4+i8^0 == 0), cost: 1 5: l6 -> l7 : Index2^0'=Index2^post5, factor^0'=factor^post5, Sorted5^0'=Sorted5^post5, fact3^0'=fact3^post5, Index7^0'=Index7^post5, i8^0'=i8^post5, Temp6^0'=Temp6^post5, (-Temp6^post5+Temp6^0 == 0 /\ -i8^post5+i8^0 == 0 /\ factor^0-factor^post5 == 0 /\ -fact3^post5+fact3^0 == 0 /\ Sorted5^0-Sorted5^post5 == 0 /\ Index2^0-Index2^post5 == 0 /\ -Index7^post5+Index7^0 == 0), cost: 1 6: l7 -> l1 : Index2^0'=Index2^post6, factor^0'=factor^post6, Sorted5^0'=Sorted5^post6, fact3^0'=fact3^post6, Index7^0'=Index7^post6, i8^0'=i8^post6, Temp6^0'=Temp6^post6, (-Sorted5^0 <= 0 /\ Sorted5^0 <= 0 /\ Temp6^0-Temp6^post6 == 0 /\ -Index7^post6+Index7^0 == 0 /\ Index2^0-Index2^post6 == 0 /\ factor^0-factor^post6 == 0 /\ Sorted5^0-Sorted5^post6 == 0 /\ -1+i8^post6-i8^0 == 0 /\ -fact3^post6+fact3^0 == 0), cost: 1 7: l7 -> l5 : Index2^0'=Index2^post7, factor^0'=factor^post7, Sorted5^0'=Sorted5^post7, fact3^0'=fact3^post7, Index7^0'=Index7^post7, i8^0'=i8^post7, Temp6^0'=Temp6^post7, (-fact3^post7+fact3^0 == 0 /\ 1-Sorted5^0 <= 0 /\ Index2^0-Index2^post7 == 0 /\ -Temp6^post7+Temp6^0 == 0 /\ i8^0-i8^post7 == 0 /\ Index7^0-Index7^post7 == 0 /\ -Sorted5^post7+Sorted5^0 == 0 /\ factor^0-factor^post7 == 0), cost: 1 8: l7 -> l5 : Index2^0'=Index2^post8, factor^0'=factor^post8, Sorted5^0'=Sorted5^post8, fact3^0'=fact3^post8, Index7^0'=Index7^post8, i8^0'=i8^post8, Temp6^0'=Temp6^post8, (fact3^0-fact3^post8 == 0 /\ -Temp6^post8+Temp6^0 == 0 /\ -Sorted5^post8+Sorted5^0 == 0 /\ Index7^0-Index7^post8 == 0 /\ factor^0-factor^post8 == 0 /\ Index2^0-Index2^post8 == 0 /\ i8^0-i8^post8 == 0 /\ 1+Sorted5^0 <= 0), cost: 1 9: l8 -> l9 : Index2^0'=Index2^post9, factor^0'=factor^post9, Sorted5^0'=Sorted5^post9, fact3^0'=fact3^post9, Index7^0'=Index7^post9, i8^0'=i8^post9, Temp6^0'=Temp6^post9, (factor^0-factor^post9 == 0 /\ Index2^0-Index2^post9 == 0 /\ Sorted5^0-Sorted5^post9 == 0 /\ -Temp6^post9+Temp6^0 == 0 /\ -i8^post9+i8^0 == 0 /\ fact3^0-fact3^post9 == 0 /\ -1+Index7^post9-Index7^0 == 0), cost: 1 17: l9 -> l13 : Index2^0'=Index2^post17, factor^0'=factor^post17, Sorted5^0'=Sorted5^post17, fact3^0'=fact3^post17, Index7^0'=Index7^post17, i8^0'=i8^post17, Temp6^0'=Temp6^post17, (factor^0-factor^post17 == 0 /\ Sorted5^0-Sorted5^post17 == 0 /\ -i8^post17+i8^0 == 0 /\ -Index7^post17+Index7^0 == 0 /\ -Temp6^post17+Temp6^0 == 0 /\ Index2^0-Index2^post17 == 0 /\ fact3^0-fact3^post17 == 0), cost: 1 18: l10 -> l3 : Index2^0'=Index2^post18, factor^0'=factor^post18, Sorted5^0'=Sorted5^post18, fact3^0'=fact3^post18, Index7^0'=Index7^post18, i8^0'=i8^post18, Temp6^0'=Temp6^post18, (100-i8^0 <= 0 /\ -fact3^post18+fact3^0 == 0 /\ Temp6^0-Temp6^post18 == 0 /\ Index2^0-Index2^post18 == 0 /\ -i8^post18+i8^0 == 0 /\ Index7^0-Index7^post18 == 0 /\ -Sorted5^post18+Sorted5^0 == 0 /\ factor^0-factor^post18 == 0), cost: 1 19: l10 -> l9 : Index2^0'=Index2^post19, factor^0'=factor^post19, Sorted5^0'=Sorted5^post19, fact3^0'=fact3^post19, Index7^0'=Index7^post19, i8^0'=i8^post19, Temp6^0'=Temp6^post19, (fact3^0-fact3^post19 == 0 /\ -1+Sorted5^post19 == 0 /\ -Temp6^post19+Temp6^0 == 0 /\ factor^0-factor^post19 == 0 /\ -99+i8^0 <= 0 /\ i8^0-i8^post19 == 0 /\ Index2^0-Index2^post19 == 0 /\ -1+Index7^post19 == 0), cost: 1 11: l11 -> l8 : Index2^0'=Index2^post11, factor^0'=factor^post11, Sorted5^0'=Sorted5^post11, fact3^0'=fact3^post11, Index7^0'=Index7^post11, i8^0'=i8^post11, Temp6^0'=Temp6^post11, (0 == 0 /\ -i8^post11+i8^0 == 0 /\ Index2^0-Index2^post11 == 0 /\ -Index7^post11+Index7^0 == 0 /\ -fact3^post11+fact3^0 == 0 /\ factor^0-factor^post11 == 0 /\ Sorted5^post11 == 0), cost: 1 12: l11 -> l8 : Index2^0'=Index2^post12, factor^0'=factor^post12, Sorted5^0'=Sorted5^post12, fact3^0'=fact3^post12, Index7^0'=Index7^post12, i8^0'=i8^post12, Temp6^0'=Temp6^post12, (Index2^0-Index2^post12 == 0 /\ factor^0-factor^post12 == 0 /\ -Temp6^post12+Temp6^0 == 0 /\ i8^0-i8^post12 == 0 /\ -Sorted5^post12+Sorted5^0 == 0 /\ -fact3^post12+fact3^0 == 0 /\ Index7^0-Index7^post12 == 0), cost: 1 13: l12 -> l11 : Index2^0'=Index2^post13, factor^0'=factor^post13, Sorted5^0'=Sorted5^post13, fact3^0'=fact3^post13, Index7^0'=Index7^post13, i8^0'=i8^post13, Temp6^0'=Temp6^post13, (fact3^0-fact3^post13 == 0 /\ -Temp6^post13+Temp6^0 == 0 /\ -Sorted5^post13+Sorted5^0 == 0 /\ factor^0-factor^post13 == 0 /\ -i8^post13+i8^0 == 0 /\ Index7^0-Index7^post13 == 0 /\ Index2^0-Index2^post13 == 0 /\ -100+Index7^0+i8^0 <= 0), cost: 1 14: l12 -> l6 : Index2^0'=Index2^post14, factor^0'=factor^post14, Sorted5^0'=Sorted5^post14, fact3^0'=fact3^post14, Index7^0'=Index7^post14, i8^0'=i8^post14, Temp6^0'=Temp6^post14, (Index7^0-Index7^post14 == 0 /\ 101-Index7^0-i8^0 <= 0 /\ factor^0-factor^post14 == 0 /\ -Sorted5^post14+Sorted5^0 == 0 /\ i8^0-i8^post14 == 0 /\ -Temp6^post14+Temp6^0 == 0 /\ fact3^0-fact3^post14 == 0 /\ Index2^0-Index2^post14 == 0), cost: 1 15: l13 -> l6 : Index2^0'=Index2^post15, factor^0'=factor^post15, Sorted5^0'=Sorted5^post15, fact3^0'=fact3^post15, Index7^0'=Index7^post15, i8^0'=i8^post15, Temp6^0'=Temp6^post15, (fact3^0-fact3^post15 == 0 /\ 100-Index7^0 <= 0 /\ Index7^0-Index7^post15 == 0 /\ -factor^post15+factor^0 == 0 /\ Index2^0-Index2^post15 == 0 /\ -i8^post15+i8^0 == 0 /\ Sorted5^0-Sorted5^post15 == 0 /\ -Temp6^post15+Temp6^0 == 0), cost: 1 16: l13 -> l12 : Index2^0'=Index2^post16, factor^0'=factor^post16, Sorted5^0'=Sorted5^post16, fact3^0'=fact3^post16, Index7^0'=Index7^post16, i8^0'=i8^post16, Temp6^0'=Temp6^post16, (Sorted5^0-Sorted5^post16 == 0 /\ -99+Index7^0 <= 0 /\ Index2^0-Index2^post16 == 0 /\ -Temp6^post16+Temp6^0 == 0 /\ fact3^0-fact3^post16 == 0 /\ -i8^post16+i8^0 == 0 /\ -Index7^post16+Index7^0 == 0 /\ factor^0-factor^post16 == 0), cost: 1 20: l14 -> l2 : Index2^0'=Index2^post20, factor^0'=factor^post20, Sorted5^0'=Sorted5^post20, fact3^0'=fact3^post20, Index7^0'=Index7^post20, i8^0'=i8^post20, Temp6^0'=Temp6^post20, (-i8^post20+i8^0 == 0 /\ Index7^0-Index7^post20 == 0 /\ 1+factor^post20 == 0 /\ -factor^post20+fact3^post20 == 0 /\ -1+Index2^post20 == 0 /\ -Temp6^post20+Temp6^0 == 0 /\ Sorted5^0-Sorted5^post20 == 0), cost: 1 21: l15 -> l14 : Index2^0'=Index2^post21, factor^0'=factor^post21, Sorted5^0'=Sorted5^post21, fact3^0'=fact3^post21, Index7^0'=Index7^post21, i8^0'=i8^post21, Temp6^0'=Temp6^post21, (Sorted5^0-Sorted5^post21 == 0 /\ Index2^0-Index2^post21 == 0 /\ -Index7^post21+Index7^0 == 0 /\ -Temp6^post21+Temp6^0 == 0 /\ fact3^0-fact3^post21 == 0 /\ factor^0-factor^post21 == 0 /\ -i8^post21+i8^0 == 0), cost: 1 Removed unreachable rules and leafs Start location: l15 0: l0 -> l1 : Index2^0'=Index2^post0, factor^0'=factor^post0, Sorted5^0'=Sorted5^post0, fact3^0'=fact3^post0, Index7^0'=Index7^post0, i8^0'=i8^post0, Temp6^0'=Temp6^post0, (101-Index2^0 <= 0 /\ factor^0-factor^post0 == 0 /\ Index2^0-Index2^post0 == 0 /\ -1+i8^post0 == 0 /\ Sorted5^post0 == 0 /\ -Temp6^post0+Temp6^0 == 0 /\ Index7^0-Index7^post0 == 0 /\ -fact3^post0+fact3^0 == 0), cost: 1 1: l0 -> l2 : Index2^0'=Index2^post1, factor^0'=factor^post1, Sorted5^0'=Sorted5^post1, fact3^0'=fact3^post1, Index7^0'=Index7^post1, i8^0'=i8^post1, Temp6^0'=Temp6^post1, (fact3^0-fact3^post1 == 0 /\ -1-Index2^0+Index2^post1 == 0 /\ -100+Index2^0 <= 0 /\ Index7^0-Index7^post1 == 0 /\ -Temp6^post1+Temp6^0 == 0 /\ factor^0-factor^post1 == 0 /\ Sorted5^0-Sorted5^post1 == 0 /\ -i8^post1+i8^0 == 0), cost: 1 10: l1 -> l10 : Index2^0'=Index2^post10, factor^0'=factor^post10, Sorted5^0'=Sorted5^post10, fact3^0'=fact3^post10, Index7^0'=Index7^post10, i8^0'=i8^post10, Temp6^0'=Temp6^post10, (-Temp6^post10+Temp6^0 == 0 /\ Sorted5^0-Sorted5^post10 == 0 /\ -fact3^post10+fact3^0 == 0 /\ factor^0-factor^post10 == 0 /\ Index2^0-Index2^post10 == 0 /\ -i8^post10+i8^0 == 0 /\ -Index7^post10+Index7^0 == 0), cost: 1 2: l2 -> l0 : Index2^0'=Index2^post2, factor^0'=factor^post2, Sorted5^0'=Sorted5^post2, fact3^0'=fact3^post2, Index7^0'=Index7^post2, i8^0'=i8^post2, Temp6^0'=Temp6^post2, (-i8^post2+i8^0 == 0 /\ -Temp6^post2+Temp6^0 == 0 /\ Index2^0-Index2^post2 == 0 /\ fact3^0-fact3^post2 == 0 /\ -Index7^post2+Index7^0 == 0 /\ factor^0-factor^post2 == 0 /\ Sorted5^0-Sorted5^post2 == 0), cost: 1 5: l6 -> l7 : Index2^0'=Index2^post5, factor^0'=factor^post5, Sorted5^0'=Sorted5^post5, fact3^0'=fact3^post5, Index7^0'=Index7^post5, i8^0'=i8^post5, Temp6^0'=Temp6^post5, (-Temp6^post5+Temp6^0 == 0 /\ -i8^post5+i8^0 == 0 /\ factor^0-factor^post5 == 0 /\ -fact3^post5+fact3^0 == 0 /\ Sorted5^0-Sorted5^post5 == 0 /\ Index2^0-Index2^post5 == 0 /\ -Index7^post5+Index7^0 == 0), cost: 1 6: l7 -> l1 : Index2^0'=Index2^post6, factor^0'=factor^post6, Sorted5^0'=Sorted5^post6, fact3^0'=fact3^post6, Index7^0'=Index7^post6, i8^0'=i8^post6, Temp6^0'=Temp6^post6, (-Sorted5^0 <= 0 /\ Sorted5^0 <= 0 /\ Temp6^0-Temp6^post6 == 0 /\ -Index7^post6+Index7^0 == 0 /\ Index2^0-Index2^post6 == 0 /\ factor^0-factor^post6 == 0 /\ Sorted5^0-Sorted5^post6 == 0 /\ -1+i8^post6-i8^0 == 0 /\ -fact3^post6+fact3^0 == 0), cost: 1 9: l8 -> l9 : Index2^0'=Index2^post9, factor^0'=factor^post9, Sorted5^0'=Sorted5^post9, fact3^0'=fact3^post9, Index7^0'=Index7^post9, i8^0'=i8^post9, Temp6^0'=Temp6^post9, (factor^0-factor^post9 == 0 /\ Index2^0-Index2^post9 == 0 /\ Sorted5^0-Sorted5^post9 == 0 /\ -Temp6^post9+Temp6^0 == 0 /\ -i8^post9+i8^0 == 0 /\ fact3^0-fact3^post9 == 0 /\ -1+Index7^post9-Index7^0 == 0), cost: 1 17: l9 -> l13 : Index2^0'=Index2^post17, factor^0'=factor^post17, Sorted5^0'=Sorted5^post17, fact3^0'=fact3^post17, Index7^0'=Index7^post17, i8^0'=i8^post17, Temp6^0'=Temp6^post17, (factor^0-factor^post17 == 0 /\ Sorted5^0-Sorted5^post17 == 0 /\ -i8^post17+i8^0 == 0 /\ -Index7^post17+Index7^0 == 0 /\ -Temp6^post17+Temp6^0 == 0 /\ Index2^0-Index2^post17 == 0 /\ fact3^0-fact3^post17 == 0), cost: 1 19: l10 -> l9 : Index2^0'=Index2^post19, factor^0'=factor^post19, Sorted5^0'=Sorted5^post19, fact3^0'=fact3^post19, Index7^0'=Index7^post19, i8^0'=i8^post19, Temp6^0'=Temp6^post19, (fact3^0-fact3^post19 == 0 /\ -1+Sorted5^post19 == 0 /\ -Temp6^post19+Temp6^0 == 0 /\ factor^0-factor^post19 == 0 /\ -99+i8^0 <= 0 /\ i8^0-i8^post19 == 0 /\ Index2^0-Index2^post19 == 0 /\ -1+Index7^post19 == 0), cost: 1 11: l11 -> l8 : Index2^0'=Index2^post11, factor^0'=factor^post11, Sorted5^0'=Sorted5^post11, fact3^0'=fact3^post11, Index7^0'=Index7^post11, i8^0'=i8^post11, Temp6^0'=Temp6^post11, (0 == 0 /\ -i8^post11+i8^0 == 0 /\ Index2^0-Index2^post11 == 0 /\ -Index7^post11+Index7^0 == 0 /\ -fact3^post11+fact3^0 == 0 /\ factor^0-factor^post11 == 0 /\ Sorted5^post11 == 0), cost: 1 12: l11 -> l8 : Index2^0'=Index2^post12, factor^0'=factor^post12, Sorted5^0'=Sorted5^post12, fact3^0'=fact3^post12, Index7^0'=Index7^post12, i8^0'=i8^post12, Temp6^0'=Temp6^post12, (Index2^0-Index2^post12 == 0 /\ factor^0-factor^post12 == 0 /\ -Temp6^post12+Temp6^0 == 0 /\ i8^0-i8^post12 == 0 /\ -Sorted5^post12+Sorted5^0 == 0 /\ -fact3^post12+fact3^0 == 0 /\ Index7^0-Index7^post12 == 0), cost: 1 13: l12 -> l11 : Index2^0'=Index2^post13, factor^0'=factor^post13, Sorted5^0'=Sorted5^post13, fact3^0'=fact3^post13, Index7^0'=Index7^post13, i8^0'=i8^post13, Temp6^0'=Temp6^post13, (fact3^0-fact3^post13 == 0 /\ -Temp6^post13+Temp6^0 == 0 /\ -Sorted5^post13+Sorted5^0 == 0 /\ factor^0-factor^post13 == 0 /\ -i8^post13+i8^0 == 0 /\ Index7^0-Index7^post13 == 0 /\ Index2^0-Index2^post13 == 0 /\ -100+Index7^0+i8^0 <= 0), cost: 1 14: l12 -> l6 : Index2^0'=Index2^post14, factor^0'=factor^post14, Sorted5^0'=Sorted5^post14, fact3^0'=fact3^post14, Index7^0'=Index7^post14, i8^0'=i8^post14, Temp6^0'=Temp6^post14, (Index7^0-Index7^post14 == 0 /\ 101-Index7^0-i8^0 <= 0 /\ factor^0-factor^post14 == 0 /\ -Sorted5^post14+Sorted5^0 == 0 /\ i8^0-i8^post14 == 0 /\ -Temp6^post14+Temp6^0 == 0 /\ fact3^0-fact3^post14 == 0 /\ Index2^0-Index2^post14 == 0), cost: 1 15: l13 -> l6 : Index2^0'=Index2^post15, factor^0'=factor^post15, Sorted5^0'=Sorted5^post15, fact3^0'=fact3^post15, Index7^0'=Index7^post15, i8^0'=i8^post15, Temp6^0'=Temp6^post15, (fact3^0-fact3^post15 == 0 /\ 100-Index7^0 <= 0 /\ Index7^0-Index7^post15 == 0 /\ -factor^post15+factor^0 == 0 /\ Index2^0-Index2^post15 == 0 /\ -i8^post15+i8^0 == 0 /\ Sorted5^0-Sorted5^post15 == 0 /\ -Temp6^post15+Temp6^0 == 0), cost: 1 16: l13 -> l12 : Index2^0'=Index2^post16, factor^0'=factor^post16, Sorted5^0'=Sorted5^post16, fact3^0'=fact3^post16, Index7^0'=Index7^post16, i8^0'=i8^post16, Temp6^0'=Temp6^post16, (Sorted5^0-Sorted5^post16 == 0 /\ -99+Index7^0 <= 0 /\ Index2^0-Index2^post16 == 0 /\ -Temp6^post16+Temp6^0 == 0 /\ fact3^0-fact3^post16 == 0 /\ -i8^post16+i8^0 == 0 /\ -Index7^post16+Index7^0 == 0 /\ factor^0-factor^post16 == 0), cost: 1 20: l14 -> l2 : Index2^0'=Index2^post20, factor^0'=factor^post20, Sorted5^0'=Sorted5^post20, fact3^0'=fact3^post20, Index7^0'=Index7^post20, i8^0'=i8^post20, Temp6^0'=Temp6^post20, (-i8^post20+i8^0 == 0 /\ Index7^0-Index7^post20 == 0 /\ 1+factor^post20 == 0 /\ -factor^post20+fact3^post20 == 0 /\ -1+Index2^post20 == 0 /\ -Temp6^post20+Temp6^0 == 0 /\ Sorted5^0-Sorted5^post20 == 0), cost: 1 21: l15 -> l14 : Index2^0'=Index2^post21, factor^0'=factor^post21, Sorted5^0'=Sorted5^post21, fact3^0'=fact3^post21, Index7^0'=Index7^post21, i8^0'=i8^post21, Temp6^0'=Temp6^post21, (Sorted5^0-Sorted5^post21 == 0 /\ Index2^0-Index2^post21 == 0 /\ -Index7^post21+Index7^0 == 0 /\ -Temp6^post21+Temp6^0 == 0 /\ fact3^0-fact3^post21 == 0 /\ factor^0-factor^post21 == 0 /\ -i8^post21+i8^0 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l1 : Index2^0'=Index2^post0, factor^0'=factor^post0, Sorted5^0'=Sorted5^post0, fact3^0'=fact3^post0, Index7^0'=Index7^post0, i8^0'=i8^post0, Temp6^0'=Temp6^post0, (101-Index2^0 <= 0 /\ factor^0-factor^post0 == 0 /\ Index2^0-Index2^post0 == 0 /\ -1+i8^post0 == 0 /\ Sorted5^post0 == 0 /\ -Temp6^post0+Temp6^0 == 0 /\ Index7^0-Index7^post0 == 0 /\ -fact3^post0+fact3^0 == 0), cost: 1 New rule: l0 -> l1 : Sorted5^0'=0, i8^0'=1, -101+Index2^0 >= 0, cost: 1 Applied preprocessing Original rule: l0 -> l2 : Index2^0'=Index2^post1, factor^0'=factor^post1, Sorted5^0'=Sorted5^post1, fact3^0'=fact3^post1, Index7^0'=Index7^post1, i8^0'=i8^post1, Temp6^0'=Temp6^post1, (fact3^0-fact3^post1 == 0 /\ -1-Index2^0+Index2^post1 == 0 /\ -100+Index2^0 <= 0 /\ Index7^0-Index7^post1 == 0 /\ -Temp6^post1+Temp6^0 == 0 /\ factor^0-factor^post1 == 0 /\ Sorted5^0-Sorted5^post1 == 0 /\ -i8^post1+i8^0 == 0), cost: 1 New rule: l0 -> l2 : Index2^0'=1+Index2^0, -100+Index2^0 <= 0, cost: 1 Applied preprocessing Original rule: l2 -> l0 : Index2^0'=Index2^post2, factor^0'=factor^post2, Sorted5^0'=Sorted5^post2, fact3^0'=fact3^post2, Index7^0'=Index7^post2, i8^0'=i8^post2, Temp6^0'=Temp6^post2, (-i8^post2+i8^0 == 0 /\ -Temp6^post2+Temp6^0 == 0 /\ Index2^0-Index2^post2 == 0 /\ fact3^0-fact3^post2 == 0 /\ -Index7^post2+Index7^0 == 0 /\ factor^0-factor^post2 == 0 /\ Sorted5^0-Sorted5^post2 == 0), cost: 1 New rule: l2 -> l0 : TRUE, cost: 1 Applied preprocessing Original rule: l6 -> l7 : Index2^0'=Index2^post5, factor^0'=factor^post5, Sorted5^0'=Sorted5^post5, fact3^0'=fact3^post5, Index7^0'=Index7^post5, i8^0'=i8^post5, Temp6^0'=Temp6^post5, (-Temp6^post5+Temp6^0 == 0 /\ -i8^post5+i8^0 == 0 /\ factor^0-factor^post5 == 0 /\ -fact3^post5+fact3^0 == 0 /\ Sorted5^0-Sorted5^post5 == 0 /\ Index2^0-Index2^post5 == 0 /\ -Index7^post5+Index7^0 == 0), cost: 1 New rule: l6 -> l7 : TRUE, cost: 1 Applied preprocessing Original rule: l7 -> l1 : Index2^0'=Index2^post6, factor^0'=factor^post6, Sorted5^0'=Sorted5^post6, fact3^0'=fact3^post6, Index7^0'=Index7^post6, i8^0'=i8^post6, Temp6^0'=Temp6^post6, (-Sorted5^0 <= 0 /\ Sorted5^0 <= 0 /\ Temp6^0-Temp6^post6 == 0 /\ -Index7^post6+Index7^0 == 0 /\ Index2^0-Index2^post6 == 0 /\ factor^0-factor^post6 == 0 /\ Sorted5^0-Sorted5^post6 == 0 /\ -1+i8^post6-i8^0 == 0 /\ -fact3^post6+fact3^0 == 0), cost: 1 New rule: l7 -> l1 : i8^0'=1+i8^0, Sorted5^0 == 0, cost: 1 Applied preprocessing Original rule: l8 -> l9 : Index2^0'=Index2^post9, factor^0'=factor^post9, Sorted5^0'=Sorted5^post9, fact3^0'=fact3^post9, Index7^0'=Index7^post9, i8^0'=i8^post9, Temp6^0'=Temp6^post9, (factor^0-factor^post9 == 0 /\ Index2^0-Index2^post9 == 0 /\ Sorted5^0-Sorted5^post9 == 0 /\ -Temp6^post9+Temp6^0 == 0 /\ -i8^post9+i8^0 == 0 /\ fact3^0-fact3^post9 == 0 /\ -1+Index7^post9-Index7^0 == 0), cost: 1 New rule: l8 -> l9 : Index7^0'=1+Index7^0, TRUE, cost: 1 Applied preprocessing Original rule: l1 -> l10 : Index2^0'=Index2^post10, factor^0'=factor^post10, Sorted5^0'=Sorted5^post10, fact3^0'=fact3^post10, Index7^0'=Index7^post10, i8^0'=i8^post10, Temp6^0'=Temp6^post10, (-Temp6^post10+Temp6^0 == 0 /\ Sorted5^0-Sorted5^post10 == 0 /\ -fact3^post10+fact3^0 == 0 /\ factor^0-factor^post10 == 0 /\ Index2^0-Index2^post10 == 0 /\ -i8^post10+i8^0 == 0 /\ -Index7^post10+Index7^0 == 0), cost: 1 New rule: l1 -> l10 : TRUE, cost: 1 Applied preprocessing Original rule: l11 -> l8 : Index2^0'=Index2^post11, factor^0'=factor^post11, Sorted5^0'=Sorted5^post11, fact3^0'=fact3^post11, Index7^0'=Index7^post11, i8^0'=i8^post11, Temp6^0'=Temp6^post11, (0 == 0 /\ -i8^post11+i8^0 == 0 /\ Index2^0-Index2^post11 == 0 /\ -Index7^post11+Index7^0 == 0 /\ -fact3^post11+fact3^0 == 0 /\ factor^0-factor^post11 == 0 /\ Sorted5^post11 == 0), cost: 1 New rule: l11 -> l8 : Sorted5^0'=0, Temp6^0'=Temp6^post11, 0 == 0, cost: 1 Applied preprocessing Original rule: l11 -> l8 : Index2^0'=Index2^post12, factor^0'=factor^post12, Sorted5^0'=Sorted5^post12, fact3^0'=fact3^post12, Index7^0'=Index7^post12, i8^0'=i8^post12, Temp6^0'=Temp6^post12, (Index2^0-Index2^post12 == 0 /\ factor^0-factor^post12 == 0 /\ -Temp6^post12+Temp6^0 == 0 /\ i8^0-i8^post12 == 0 /\ -Sorted5^post12+Sorted5^0 == 0 /\ -fact3^post12+fact3^0 == 0 /\ Index7^0-Index7^post12 == 0), cost: 1 New rule: l11 -> l8 : TRUE, cost: 1 Applied preprocessing Original rule: l12 -> l11 : Index2^0'=Index2^post13, factor^0'=factor^post13, Sorted5^0'=Sorted5^post13, fact3^0'=fact3^post13, Index7^0'=Index7^post13, i8^0'=i8^post13, Temp6^0'=Temp6^post13, (fact3^0-fact3^post13 == 0 /\ -Temp6^post13+Temp6^0 == 0 /\ -Sorted5^post13+Sorted5^0 == 0 /\ factor^0-factor^post13 == 0 /\ -i8^post13+i8^0 == 0 /\ Index7^0-Index7^post13 == 0 /\ Index2^0-Index2^post13 == 0 /\ -100+Index7^0+i8^0 <= 0), cost: 1 New rule: l12 -> l11 : -100+Index7^0+i8^0 <= 0, cost: 1 Applied preprocessing Original rule: l12 -> l6 : Index2^0'=Index2^post14, factor^0'=factor^post14, Sorted5^0'=Sorted5^post14, fact3^0'=fact3^post14, Index7^0'=Index7^post14, i8^0'=i8^post14, Temp6^0'=Temp6^post14, (Index7^0-Index7^post14 == 0 /\ 101-Index7^0-i8^0 <= 0 /\ factor^0-factor^post14 == 0 /\ -Sorted5^post14+Sorted5^0 == 0 /\ i8^0-i8^post14 == 0 /\ -Temp6^post14+Temp6^0 == 0 /\ fact3^0-fact3^post14 == 0 /\ Index2^0-Index2^post14 == 0), cost: 1 New rule: l12 -> l6 : 101-Index7^0-i8^0 <= 0, cost: 1 Applied preprocessing Original rule: l13 -> l6 : Index2^0'=Index2^post15, factor^0'=factor^post15, Sorted5^0'=Sorted5^post15, fact3^0'=fact3^post15, Index7^0'=Index7^post15, i8^0'=i8^post15, Temp6^0'=Temp6^post15, (fact3^0-fact3^post15 == 0 /\ 100-Index7^0 <= 0 /\ Index7^0-Index7^post15 == 0 /\ -factor^post15+factor^0 == 0 /\ Index2^0-Index2^post15 == 0 /\ -i8^post15+i8^0 == 0 /\ Sorted5^0-Sorted5^post15 == 0 /\ -Temp6^post15+Temp6^0 == 0), cost: 1 New rule: l13 -> l6 : -100+Index7^0 >= 0, cost: 1 Applied preprocessing Original rule: l13 -> l12 : Index2^0'=Index2^post16, factor^0'=factor^post16, Sorted5^0'=Sorted5^post16, fact3^0'=fact3^post16, Index7^0'=Index7^post16, i8^0'=i8^post16, Temp6^0'=Temp6^post16, (Sorted5^0-Sorted5^post16 == 0 /\ -99+Index7^0 <= 0 /\ Index2^0-Index2^post16 == 0 /\ -Temp6^post16+Temp6^0 == 0 /\ fact3^0-fact3^post16 == 0 /\ -i8^post16+i8^0 == 0 /\ -Index7^post16+Index7^0 == 0 /\ factor^0-factor^post16 == 0), cost: 1 New rule: l13 -> l12 : -99+Index7^0 <= 0, cost: 1 Applied preprocessing Original rule: l9 -> l13 : Index2^0'=Index2^post17, factor^0'=factor^post17, Sorted5^0'=Sorted5^post17, fact3^0'=fact3^post17, Index7^0'=Index7^post17, i8^0'=i8^post17, Temp6^0'=Temp6^post17, (factor^0-factor^post17 == 0 /\ Sorted5^0-Sorted5^post17 == 0 /\ -i8^post17+i8^0 == 0 /\ -Index7^post17+Index7^0 == 0 /\ -Temp6^post17+Temp6^0 == 0 /\ Index2^0-Index2^post17 == 0 /\ fact3^0-fact3^post17 == 0), cost: 1 New rule: l9 -> l13 : TRUE, cost: 1 Applied preprocessing Original rule: l10 -> l9 : Index2^0'=Index2^post19, factor^0'=factor^post19, Sorted5^0'=Sorted5^post19, fact3^0'=fact3^post19, Index7^0'=Index7^post19, i8^0'=i8^post19, Temp6^0'=Temp6^post19, (fact3^0-fact3^post19 == 0 /\ -1+Sorted5^post19 == 0 /\ -Temp6^post19+Temp6^0 == 0 /\ factor^0-factor^post19 == 0 /\ -99+i8^0 <= 0 /\ i8^0-i8^post19 == 0 /\ Index2^0-Index2^post19 == 0 /\ -1+Index7^post19 == 0), cost: 1 New rule: l10 -> l9 : Sorted5^0'=1, Index7^0'=1, -99+i8^0 <= 0, cost: 1 Applied preprocessing Original rule: l14 -> l2 : Index2^0'=Index2^post20, factor^0'=factor^post20, Sorted5^0'=Sorted5^post20, fact3^0'=fact3^post20, Index7^0'=Index7^post20, i8^0'=i8^post20, Temp6^0'=Temp6^post20, (-i8^post20+i8^0 == 0 /\ Index7^0-Index7^post20 == 0 /\ 1+factor^post20 == 0 /\ -factor^post20+fact3^post20 == 0 /\ -1+Index2^post20 == 0 /\ -Temp6^post20+Temp6^0 == 0 /\ Sorted5^0-Sorted5^post20 == 0), cost: 1 New rule: l14 -> l2 : Index2^0'=1, factor^0'=-1, fact3^0'=-1, TRUE, cost: 1 Applied preprocessing Original rule: l15 -> l14 : Index2^0'=Index2^post21, factor^0'=factor^post21, Sorted5^0'=Sorted5^post21, fact3^0'=fact3^post21, Index7^0'=Index7^post21, i8^0'=i8^post21, Temp6^0'=Temp6^post21, (Sorted5^0-Sorted5^post21 == 0 /\ Index2^0-Index2^post21 == 0 /\ -Index7^post21+Index7^0 == 0 /\ -Temp6^post21+Temp6^0 == 0 /\ fact3^0-fact3^post21 == 0 /\ factor^0-factor^post21 == 0 /\ -i8^post21+i8^0 == 0), cost: 1 New rule: l15 -> l14 : TRUE, cost: 1 Simplified rules Start location: l15 22: l0 -> l1 : Sorted5^0'=0, i8^0'=1, -101+Index2^0 >= 0, cost: 1 23: l0 -> l2 : Index2^0'=1+Index2^0, -100+Index2^0 <= 0, cost: 1 28: l1 -> l10 : TRUE, cost: 1 24: l2 -> l0 : TRUE, cost: 1 25: l6 -> l7 : TRUE, cost: 1 26: l7 -> l1 : i8^0'=1+i8^0, Sorted5^0 == 0, cost: 1 27: l8 -> l9 : Index7^0'=1+Index7^0, TRUE, cost: 1 35: l9 -> l13 : TRUE, cost: 1 36: l10 -> l9 : Sorted5^0'=1, Index7^0'=1, -99+i8^0 <= 0, cost: 1 29: l11 -> l8 : Sorted5^0'=0, Temp6^0'=Temp6^post11, 0 == 0, cost: 1 30: l11 -> l8 : TRUE, cost: 1 31: l12 -> l11 : -100+Index7^0+i8^0 <= 0, cost: 1 32: l12 -> l6 : 101-Index7^0-i8^0 <= 0, cost: 1 33: l13 -> l6 : -100+Index7^0 >= 0, cost: 1 34: l13 -> l12 : -99+Index7^0 <= 0, cost: 1 37: l14 -> l2 : Index2^0'=1, factor^0'=-1, fact3^0'=-1, TRUE, cost: 1 38: l15 -> l14 : TRUE, cost: 1 Eliminating location l14 by chaining: Applied chaining First rule: l15 -> l14 : TRUE, cost: 1 Second rule: l14 -> l2 : Index2^0'=1, factor^0'=-1, fact3^0'=-1, TRUE, cost: 1 New rule: l15 -> l2 : Index2^0'=1, factor^0'=-1, fact3^0'=-1, TRUE, cost: 2 Applied deletion Removed the following rules: 37 38 Eliminating location l10 by chaining: Applied chaining First rule: l1 -> l10 : TRUE, cost: 1 Second rule: l10 -> l9 : Sorted5^0'=1, Index7^0'=1, -99+i8^0 <= 0, cost: 1 New rule: l1 -> l9 : Sorted5^0'=1, Index7^0'=1, -99+i8^0 <= 0, cost: 2 Applied deletion Removed the following rules: 28 36 Eliminating location l7 by chaining: Applied chaining First rule: l6 -> l7 : TRUE, cost: 1 Second rule: l7 -> l1 : i8^0'=1+i8^0, Sorted5^0 == 0, cost: 1 New rule: l6 -> l1 : i8^0'=1+i8^0, Sorted5^0 == 0, cost: 2 Applied deletion Removed the following rules: 25 26 Eliminated locations on linear paths Start location: l15 22: l0 -> l1 : Sorted5^0'=0, i8^0'=1, -101+Index2^0 >= 0, cost: 1 23: l0 -> l2 : Index2^0'=1+Index2^0, -100+Index2^0 <= 0, cost: 1 40: l1 -> l9 : Sorted5^0'=1, Index7^0'=1, -99+i8^0 <= 0, cost: 2 24: l2 -> l0 : TRUE, cost: 1 41: l6 -> l1 : i8^0'=1+i8^0, Sorted5^0 == 0, cost: 2 27: l8 -> l9 : Index7^0'=1+Index7^0, TRUE, cost: 1 35: l9 -> l13 : TRUE, cost: 1 29: l11 -> l8 : Sorted5^0'=0, Temp6^0'=Temp6^post11, 0 == 0, cost: 1 30: l11 -> l8 : TRUE, cost: 1 31: l12 -> l11 : -100+Index7^0+i8^0 <= 0, cost: 1 32: l12 -> l6 : 101-Index7^0-i8^0 <= 0, cost: 1 33: l13 -> l6 : -100+Index7^0 >= 0, cost: 1 34: l13 -> l12 : -99+Index7^0 <= 0, cost: 1 39: l15 -> l2 : Index2^0'=1, factor^0'=-1, fact3^0'=-1, TRUE, cost: 2 Eliminating location l0 by chaining: Applied chaining First rule: l2 -> l0 : TRUE, cost: 1 Second rule: l0 -> l1 : Sorted5^0'=0, i8^0'=1, -101+Index2^0 >= 0, cost: 1 New rule: l2 -> l1 : Sorted5^0'=0, i8^0'=1, -101+Index2^0 >= 0, cost: 2 Applied chaining First rule: l2 -> l0 : TRUE, cost: 1 Second rule: l0 -> l2 : Index2^0'=1+Index2^0, -100+Index2^0 <= 0, cost: 1 New rule: l2 -> l2 : Index2^0'=1+Index2^0, -100+Index2^0 <= 0, cost: 2 Applied deletion Removed the following rules: 22 23 24 Eliminating location l13 by chaining: Applied chaining First rule: l9 -> l13 : TRUE, cost: 1 Second rule: l13 -> l6 : -100+Index7^0 >= 0, cost: 1 New rule: l9 -> l6 : -100+Index7^0 >= 0, cost: 2 Applied chaining First rule: l9 -> l13 : TRUE, cost: 1 Second rule: l13 -> l12 : -99+Index7^0 <= 0, cost: 1 New rule: l9 -> l12 : -99+Index7^0 <= 0, cost: 2 Applied deletion Removed the following rules: 33 34 35 Eliminating location l11 by chaining: Applied chaining First rule: l12 -> l11 : -100+Index7^0+i8^0 <= 0, cost: 1 Second rule: l11 -> l8 : Sorted5^0'=0, Temp6^0'=Temp6^post11, 0 == 0, cost: 1 New rule: l12 -> l8 : Sorted5^0'=0, Temp6^0'=Temp6^post11, (0 == 0 /\ -100+Index7^0+i8^0 <= 0), cost: 2 Applied simplification Original rule: l12 -> l8 : Sorted5^0'=0, Temp6^0'=Temp6^post11, (0 == 0 /\ -100+Index7^0+i8^0 <= 0), cost: 2 New rule: l12 -> l8 : Sorted5^0'=0, Temp6^0'=Temp6^post11, -100+Index7^0+i8^0 <= 0, cost: 2 Applied chaining First rule: l12 -> l11 : -100+Index7^0+i8^0 <= 0, cost: 1 Second rule: l11 -> l8 : TRUE, cost: 1 New rule: l12 -> l8 : -100+Index7^0+i8^0 <= 0, cost: 2 Applied deletion Removed the following rules: 29 30 31 Eliminated locations on tree-shaped paths Start location: l15 40: l1 -> l9 : Sorted5^0'=1, Index7^0'=1, -99+i8^0 <= 0, cost: 2 42: l2 -> l1 : Sorted5^0'=0, i8^0'=1, -101+Index2^0 >= 0, cost: 2 43: l2 -> l2 : Index2^0'=1+Index2^0, -100+Index2^0 <= 0, cost: 2 41: l6 -> l1 : i8^0'=1+i8^0, Sorted5^0 == 0, cost: 2 27: l8 -> l9 : Index7^0'=1+Index7^0, TRUE, cost: 1 44: l9 -> l6 : -100+Index7^0 >= 0, cost: 2 45: l9 -> l12 : -99+Index7^0 <= 0, cost: 2 32: l12 -> l6 : 101-Index7^0-i8^0 <= 0, cost: 1 46: l12 -> l8 : Sorted5^0'=0, Temp6^0'=Temp6^post11, -100+Index7^0+i8^0 <= 0, cost: 2 47: l12 -> l8 : -100+Index7^0+i8^0 <= 0, cost: 2 39: l15 -> l2 : Index2^0'=1, factor^0'=-1, fact3^0'=-1, TRUE, cost: 2 Applied acceleration Original rule: l2 -> l2 : Index2^0'=1+Index2^0, -100+Index2^0 <= 0, cost: 2 New rule: l2 -> l2 : Index2^0'=Index2^0+n0, (n0 >= 0 /\ 101-Index2^0-n0 >= 0), cost: 2*n0 Applied instantiation Original rule: l2 -> l2 : Index2^0'=Index2^0+n0, (n0 >= 0 /\ 101-Index2^0-n0 >= 0), cost: 2*n0 New rule: l2 -> l2 : Index2^0'=101, (0 >= 0 /\ 101-Index2^0 >= 0), cost: 202-2*Index2^0 Applied simplification Original rule: l2 -> l2 : Index2^0'=101, (0 >= 0 /\ 101-Index2^0 >= 0), cost: 202-2*Index2^0 New rule: l2 -> l2 : Index2^0'=101, -101+Index2^0 <= 0, cost: 202-2*Index2^0 Applied deletion Removed the following rules: 43 Accelerated simple loops Start location: l15 40: l1 -> l9 : Sorted5^0'=1, Index7^0'=1, -99+i8^0 <= 0, cost: 2 42: l2 -> l1 : Sorted5^0'=0, i8^0'=1, -101+Index2^0 >= 0, cost: 2 49: l2 -> l2 : Index2^0'=101, -101+Index2^0 <= 0, cost: 202-2*Index2^0 41: l6 -> l1 : i8^0'=1+i8^0, Sorted5^0 == 0, cost: 2 27: l8 -> l9 : Index7^0'=1+Index7^0, TRUE, cost: 1 44: l9 -> l6 : -100+Index7^0 >= 0, cost: 2 45: l9 -> l12 : -99+Index7^0 <= 0, cost: 2 32: l12 -> l6 : 101-Index7^0-i8^0 <= 0, cost: 1 46: l12 -> l8 : Sorted5^0'=0, Temp6^0'=Temp6^post11, -100+Index7^0+i8^0 <= 0, cost: 2 47: l12 -> l8 : -100+Index7^0+i8^0 <= 0, cost: 2 39: l15 -> l2 : Index2^0'=1, factor^0'=-1, fact3^0'=-1, TRUE, cost: 2 Applied chaining First rule: l15 -> l2 : Index2^0'=1, factor^0'=-1, fact3^0'=-1, TRUE, cost: 2 Second rule: l2 -> l2 : Index2^0'=101, -101+Index2^0 <= 0, cost: 202-2*Index2^0 New rule: l15 -> l2 : Index2^0'=101, factor^0'=-1, fact3^0'=-1, -100 <= 0, cost: 202 Applied deletion Removed the following rules: 49 Chained accelerated rules with incoming rules Start location: l15 40: l1 -> l9 : Sorted5^0'=1, Index7^0'=1, -99+i8^0 <= 0, cost: 2 42: l2 -> l1 : Sorted5^0'=0, i8^0'=1, -101+Index2^0 >= 0, cost: 2 41: l6 -> l1 : i8^0'=1+i8^0, Sorted5^0 == 0, cost: 2 27: l8 -> l9 : Index7^0'=1+Index7^0, TRUE, cost: 1 44: l9 -> l6 : -100+Index7^0 >= 0, cost: 2 45: l9 -> l12 : -99+Index7^0 <= 0, cost: 2 32: l12 -> l6 : 101-Index7^0-i8^0 <= 0, cost: 1 46: l12 -> l8 : Sorted5^0'=0, Temp6^0'=Temp6^post11, -100+Index7^0+i8^0 <= 0, cost: 2 47: l12 -> l8 : -100+Index7^0+i8^0 <= 0, cost: 2 39: l15 -> l2 : Index2^0'=1, factor^0'=-1, fact3^0'=-1, TRUE, cost: 2 50: l15 -> l2 : Index2^0'=101, factor^0'=-1, fact3^0'=-1, -100 <= 0, cost: 202 Eliminating location l2 by chaining: Applied chaining First rule: l15 -> l2 : Index2^0'=101, factor^0'=-1, fact3^0'=-1, -100 <= 0, cost: 202 Second rule: l2 -> l1 : Sorted5^0'=0, i8^0'=1, -101+Index2^0 >= 0, cost: 2 New rule: l15 -> l1 : Index2^0'=101, factor^0'=-1, Sorted5^0'=0, fact3^0'=-1, i8^0'=1, (0 >= 0 /\ -100 <= 0), cost: 204 Applied deletion Removed the following rules: 39 42 50 Eliminating location l12 by chaining: Applied chaining First rule: l9 -> l12 : -99+Index7^0 <= 0, cost: 2 Second rule: l12 -> l6 : 101-Index7^0-i8^0 <= 0, cost: 1 New rule: l9 -> l6 : (101-Index7^0-i8^0 <= 0 /\ -99+Index7^0 <= 0), cost: 3 Applied chaining First rule: l9 -> l12 : -99+Index7^0 <= 0, cost: 2 Second rule: l12 -> l8 : Sorted5^0'=0, Temp6^0'=Temp6^post11, -100+Index7^0+i8^0 <= 0, cost: 2 New rule: l9 -> l8 : Sorted5^0'=0, Temp6^0'=Temp6^post11, (-99+Index7^0 <= 0 /\ -100+Index7^0+i8^0 <= 0), cost: 4 Applied chaining First rule: l9 -> l12 : -99+Index7^0 <= 0, cost: 2 Second rule: l12 -> l8 : -100+Index7^0+i8^0 <= 0, cost: 2 New rule: l9 -> l8 : (-99+Index7^0 <= 0 /\ -100+Index7^0+i8^0 <= 0), cost: 4 Applied deletion Removed the following rules: 32 45 46 47 Eliminated locations on tree-shaped paths Start location: l15 40: l1 -> l9 : Sorted5^0'=1, Index7^0'=1, -99+i8^0 <= 0, cost: 2 41: l6 -> l1 : i8^0'=1+i8^0, Sorted5^0 == 0, cost: 2 27: l8 -> l9 : Index7^0'=1+Index7^0, TRUE, cost: 1 44: l9 -> l6 : -100+Index7^0 >= 0, cost: 2 52: l9 -> l6 : (101-Index7^0-i8^0 <= 0 /\ -99+Index7^0 <= 0), cost: 3 53: l9 -> l8 : Sorted5^0'=0, Temp6^0'=Temp6^post11, (-99+Index7^0 <= 0 /\ -100+Index7^0+i8^0 <= 0), cost: 4 54: l9 -> l8 : (-99+Index7^0 <= 0 /\ -100+Index7^0+i8^0 <= 0), cost: 4 51: l15 -> l1 : Index2^0'=101, factor^0'=-1, Sorted5^0'=0, fact3^0'=-1, i8^0'=1, (0 >= 0 /\ -100 <= 0), cost: 204 Eliminating location l6 by chaining: Applied chaining First rule: l9 -> l6 : -100+Index7^0 >= 0, cost: 2 Second rule: l6 -> l1 : i8^0'=1+i8^0, Sorted5^0 == 0, cost: 2 New rule: l9 -> l1 : i8^0'=1+i8^0, (Sorted5^0 == 0 /\ -100+Index7^0 >= 0), cost: 4 Applied chaining First rule: l9 -> l6 : (101-Index7^0-i8^0 <= 0 /\ -99+Index7^0 <= 0), cost: 3 Second rule: l6 -> l1 : i8^0'=1+i8^0, Sorted5^0 == 0, cost: 2 New rule: l9 -> l1 : i8^0'=1+i8^0, (101-Index7^0-i8^0 <= 0 /\ -99+Index7^0 <= 0 /\ Sorted5^0 == 0), cost: 5 Applied deletion Removed the following rules: 41 44 52 Eliminating location l8 by chaining: Applied chaining First rule: l9 -> l8 : Sorted5^0'=0, Temp6^0'=Temp6^post11, (-99+Index7^0 <= 0 /\ -100+Index7^0+i8^0 <= 0), cost: 4 Second rule: l8 -> l9 : Index7^0'=1+Index7^0, TRUE, cost: 1 New rule: l9 -> l9 : Sorted5^0'=0, Index7^0'=1+Index7^0, Temp6^0'=Temp6^post11, (-99+Index7^0 <= 0 /\ -100+Index7^0+i8^0 <= 0), cost: 5 Applied chaining First rule: l9 -> l8 : (-99+Index7^0 <= 0 /\ -100+Index7^0+i8^0 <= 0), cost: 4 Second rule: l8 -> l9 : Index7^0'=1+Index7^0, TRUE, cost: 1 New rule: l9 -> l9 : Index7^0'=1+Index7^0, (-99+Index7^0 <= 0 /\ -100+Index7^0+i8^0 <= 0), cost: 5 Applied deletion Removed the following rules: 27 53 54 Eliminated locations on tree-shaped paths Start location: l15 40: l1 -> l9 : Sorted5^0'=1, Index7^0'=1, -99+i8^0 <= 0, cost: 2 55: l9 -> l1 : i8^0'=1+i8^0, (Sorted5^0 == 0 /\ -100+Index7^0 >= 0), cost: 4 56: l9 -> l1 : i8^0'=1+i8^0, (101-Index7^0-i8^0 <= 0 /\ -99+Index7^0 <= 0 /\ Sorted5^0 == 0), cost: 5 57: l9 -> l9 : Sorted5^0'=0, Index7^0'=1+Index7^0, Temp6^0'=Temp6^post11, (-99+Index7^0 <= 0 /\ -100+Index7^0+i8^0 <= 0), cost: 5 58: l9 -> l9 : Index7^0'=1+Index7^0, (-99+Index7^0 <= 0 /\ -100+Index7^0+i8^0 <= 0), cost: 5 51: l15 -> l1 : Index2^0'=101, factor^0'=-1, Sorted5^0'=0, fact3^0'=-1, i8^0'=1, (0 >= 0 /\ -100 <= 0), cost: 204 Applied acceleration Original rule: l9 -> l9 : Sorted5^0'=0, Index7^0'=1+Index7^0, Temp6^0'=Temp6^post11, (-99+Index7^0 <= 0 /\ -100+Index7^0+i8^0 <= 0), cost: 5 New rule: l9 -> l9 : Sorted5^0'=0, Index7^0'=Index7^0+n4, Temp6^0'=Temp6^post11, (-1+n4 >= 0 /\ 100-Index7^0-n4 >= 0 /\ 101-Index7^0-n4-i8^0 >= 0), cost: 5*n4 Applied instantiation Original rule: l9 -> l9 : Sorted5^0'=0, Index7^0'=Index7^0+n4, Temp6^0'=Temp6^post11, (-1+n4 >= 0 /\ 100-Index7^0-n4 >= 0 /\ 101-Index7^0-n4-i8^0 >= 0), cost: 5*n4 New rule: l9 -> l9 : Sorted5^0'=0, Index7^0'=101-i8^0, Temp6^0'=Temp6^post11, (0 >= 0 /\ -1+i8^0 >= 0 /\ 100-Index7^0-i8^0 >= 0), cost: 505-5*Index7^0-5*i8^0 Applied instantiation Original rule: l9 -> l9 : Sorted5^0'=0, Index7^0'=Index7^0+n4, Temp6^0'=Temp6^post11, (-1+n4 >= 0 /\ 100-Index7^0-n4 >= 0 /\ 101-Index7^0-n4-i8^0 >= 0), cost: 5*n4 New rule: l9 -> l9 : Sorted5^0'=0, Index7^0'=100, Temp6^0'=Temp6^post11, (0 >= 0 /\ 1-i8^0 >= 0 /\ 99-Index7^0 >= 0), cost: 500-5*Index7^0 Applied acceleration Original rule: l9 -> l9 : Index7^0'=1+Index7^0, (-99+Index7^0 <= 0 /\ -100+Index7^0+i8^0 <= 0), cost: 5 New rule: l9 -> l9 : Index7^0'=Index7^0+n7, (101-Index7^0-i8^0-n7 >= 0 /\ 100-Index7^0-n7 >= 0 /\ n7 >= 0), cost: 5*n7 Applied instantiation Original rule: l9 -> l9 : Index7^0'=Index7^0+n7, (101-Index7^0-i8^0-n7 >= 0 /\ 100-Index7^0-n7 >= 0 /\ n7 >= 0), cost: 5*n7 New rule: l9 -> l9 : Index7^0'=101-i8^0, (0 >= 0 /\ 101-Index7^0-i8^0 >= 0 /\ -1+i8^0 >= 0), cost: 505-5*Index7^0-5*i8^0 Applied instantiation Original rule: l9 -> l9 : Index7^0'=Index7^0+n7, (101-Index7^0-i8^0-n7 >= 0 /\ 100-Index7^0-n7 >= 0 /\ n7 >= 0), cost: 5*n7 New rule: l9 -> l9 : Index7^0'=100, (0 >= 0 /\ 1-i8^0 >= 0 /\ 100-Index7^0 >= 0), cost: 500-5*Index7^0 Applied simplification Original rule: l9 -> l9 : Sorted5^0'=0, Index7^0'=101-i8^0, Temp6^0'=Temp6^post11, (0 >= 0 /\ -1+i8^0 >= 0 /\ 100-Index7^0-i8^0 >= 0), cost: 505-5*Index7^0-5*i8^0 New rule: l9 -> l9 : Sorted5^0'=0, Index7^0'=101-i8^0, Temp6^0'=Temp6^post11, (-1+i8^0 >= 0 /\ 100-Index7^0-i8^0 >= 0), cost: 505-5*Index7^0-5*i8^0 Applied simplification Original rule: l9 -> l9 : Sorted5^0'=0, Index7^0'=100, Temp6^0'=Temp6^post11, (0 >= 0 /\ 1-i8^0 >= 0 /\ 99-Index7^0 >= 0), cost: 500-5*Index7^0 New rule: l9 -> l9 : Sorted5^0'=0, Index7^0'=100, Temp6^0'=Temp6^post11, (-99+Index7^0 <= 0 /\ -1+i8^0 <= 0), cost: 500-5*Index7^0 Applied simplification Original rule: l9 -> l9 : Index7^0'=101-i8^0, (0 >= 0 /\ 101-Index7^0-i8^0 >= 0 /\ -1+i8^0 >= 0), cost: 505-5*Index7^0-5*i8^0 New rule: l9 -> l9 : Index7^0'=101-i8^0, (101-Index7^0-i8^0 >= 0 /\ -1+i8^0 >= 0), cost: 505-5*Index7^0-5*i8^0 Applied simplification Original rule: l9 -> l9 : Index7^0'=100, (0 >= 0 /\ 1-i8^0 >= 0 /\ 100-Index7^0 >= 0), cost: 500-5*Index7^0 New rule: l9 -> l9 : Index7^0'=100, (-1+i8^0 <= 0 /\ -100+Index7^0 <= 0), cost: 500-5*Index7^0 Applied deletion Removed the following rules: 57 58 Accelerated simple loops Start location: l15 40: l1 -> l9 : Sorted5^0'=1, Index7^0'=1, -99+i8^0 <= 0, cost: 2 55: l9 -> l1 : i8^0'=1+i8^0, (Sorted5^0 == 0 /\ -100+Index7^0 >= 0), cost: 4 56: l9 -> l1 : i8^0'=1+i8^0, (101-Index7^0-i8^0 <= 0 /\ -99+Index7^0 <= 0 /\ Sorted5^0 == 0), cost: 5 63: l9 -> l9 : Sorted5^0'=0, Index7^0'=101-i8^0, Temp6^0'=Temp6^post11, (-1+i8^0 >= 0 /\ 100-Index7^0-i8^0 >= 0), cost: 505-5*Index7^0-5*i8^0 64: l9 -> l9 : Sorted5^0'=0, Index7^0'=100, Temp6^0'=Temp6^post11, (-99+Index7^0 <= 0 /\ -1+i8^0 <= 0), cost: 500-5*Index7^0 65: l9 -> l9 : Index7^0'=101-i8^0, (101-Index7^0-i8^0 >= 0 /\ -1+i8^0 >= 0), cost: 505-5*Index7^0-5*i8^0 66: l9 -> l9 : Index7^0'=100, (-1+i8^0 <= 0 /\ -100+Index7^0 <= 0), cost: 500-5*Index7^0 51: l15 -> l1 : Index2^0'=101, factor^0'=-1, Sorted5^0'=0, fact3^0'=-1, i8^0'=1, (0 >= 0 /\ -100 <= 0), cost: 204 Applied chaining First rule: l1 -> l9 : Sorted5^0'=1, Index7^0'=1, -99+i8^0 <= 0, cost: 2 Second rule: l9 -> l9 : Sorted5^0'=0, Index7^0'=101-i8^0, Temp6^0'=Temp6^post11, (-1+i8^0 >= 0 /\ 100-Index7^0-i8^0 >= 0), cost: 505-5*Index7^0-5*i8^0 New rule: l1 -> l9 : Sorted5^0'=0, Index7^0'=101-i8^0, Temp6^0'=Temp6^post11, (-1+i8^0 >= 0 /\ -99+i8^0 <= 0), cost: 502-5*i8^0 Applied chaining First rule: l1 -> l9 : Sorted5^0'=1, Index7^0'=1, -99+i8^0 <= 0, cost: 2 Second rule: l9 -> l9 : Sorted5^0'=0, Index7^0'=100, Temp6^0'=Temp6^post11, (-99+Index7^0 <= 0 /\ -1+i8^0 <= 0), cost: 500-5*Index7^0 New rule: l1 -> l9 : Sorted5^0'=0, Index7^0'=100, Temp6^0'=Temp6^post11, -1+i8^0 <= 0, cost: 497 Applied chaining First rule: l1 -> l9 : Sorted5^0'=1, Index7^0'=1, -99+i8^0 <= 0, cost: 2 Second rule: l9 -> l9 : Index7^0'=101-i8^0, (101-Index7^0-i8^0 >= 0 /\ -1+i8^0 >= 0), cost: 505-5*Index7^0-5*i8^0 New rule: l1 -> l9 : Sorted5^0'=1, Index7^0'=101-i8^0, (-1+i8^0 >= 0 /\ -99+i8^0 <= 0), cost: 502-5*i8^0 Applied chaining First rule: l1 -> l9 : Sorted5^0'=1, Index7^0'=1, -99+i8^0 <= 0, cost: 2 Second rule: l9 -> l9 : Index7^0'=100, (-1+i8^0 <= 0 /\ -100+Index7^0 <= 0), cost: 500-5*Index7^0 New rule: l1 -> l9 : Sorted5^0'=1, Index7^0'=100, -1+i8^0 <= 0, cost: 497 Applied deletion Removed the following rules: 63 64 65 66 Chained accelerated rules with incoming rules Start location: l15 40: l1 -> l9 : Sorted5^0'=1, Index7^0'=1, -99+i8^0 <= 0, cost: 2 67: l1 -> l9 : Sorted5^0'=0, Index7^0'=101-i8^0, Temp6^0'=Temp6^post11, (-1+i8^0 >= 0 /\ -99+i8^0 <= 0), cost: 502-5*i8^0 68: l1 -> l9 : Sorted5^0'=0, Index7^0'=100, Temp6^0'=Temp6^post11, -1+i8^0 <= 0, cost: 497 69: l1 -> l9 : Sorted5^0'=1, Index7^0'=101-i8^0, (-1+i8^0 >= 0 /\ -99+i8^0 <= 0), cost: 502-5*i8^0 70: l1 -> l9 : Sorted5^0'=1, Index7^0'=100, -1+i8^0 <= 0, cost: 497 55: l9 -> l1 : i8^0'=1+i8^0, (Sorted5^0 == 0 /\ -100+Index7^0 >= 0), cost: 4 56: l9 -> l1 : i8^0'=1+i8^0, (101-Index7^0-i8^0 <= 0 /\ -99+Index7^0 <= 0 /\ Sorted5^0 == 0), cost: 5 51: l15 -> l1 : Index2^0'=101, factor^0'=-1, Sorted5^0'=0, fact3^0'=-1, i8^0'=1, (0 >= 0 /\ -100 <= 0), cost: 204 Eliminating location l9 by chaining: Applied chaining First rule: l1 -> l9 : Sorted5^0'=0, Index7^0'=101-i8^0, Temp6^0'=Temp6^post11, (-1+i8^0 >= 0 /\ -99+i8^0 <= 0), cost: 502-5*i8^0 Second rule: l9 -> l1 : i8^0'=1+i8^0, (Sorted5^0 == 0 /\ -100+Index7^0 >= 0), cost: 4 New rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=101-i8^0, i8^0'=1+i8^0, Temp6^0'=Temp6^post11, (0 == 0 /\ 1-i8^0 >= 0 /\ -1+i8^0 >= 0 /\ -99+i8^0 <= 0), cost: 506-5*i8^0 Applied simplification Original rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=101-i8^0, i8^0'=1+i8^0, Temp6^0'=Temp6^post11, (0 == 0 /\ 1-i8^0 >= 0 /\ -1+i8^0 >= 0 /\ -99+i8^0 <= 0), cost: 506-5*i8^0 New rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=101-i8^0, i8^0'=1+i8^0, Temp6^0'=Temp6^post11, (-1+i8^0 <= 0 /\ -1+i8^0 >= 0), cost: 506-5*i8^0 Applied chaining First rule: l1 -> l9 : Sorted5^0'=0, Index7^0'=101-i8^0, Temp6^0'=Temp6^post11, (-1+i8^0 >= 0 /\ -99+i8^0 <= 0), cost: 502-5*i8^0 Second rule: l9 -> l1 : i8^0'=1+i8^0, (101-Index7^0-i8^0 <= 0 /\ -99+Index7^0 <= 0 /\ Sorted5^0 == 0), cost: 5 New rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=101-i8^0, i8^0'=1+i8^0, Temp6^0'=Temp6^post11, (0 <= 0 /\ 0 == 0 /\ -1+i8^0 >= 0 /\ 2-i8^0 <= 0 /\ -99+i8^0 <= 0), cost: 507-5*i8^0 Applied simplification Original rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=101-i8^0, i8^0'=1+i8^0, Temp6^0'=Temp6^post11, (0 <= 0 /\ 0 == 0 /\ -1+i8^0 >= 0 /\ 2-i8^0 <= 0 /\ -99+i8^0 <= 0), cost: 507-5*i8^0 New rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=101-i8^0, i8^0'=1+i8^0, Temp6^0'=Temp6^post11, (-99+i8^0 <= 0 /\ -2+i8^0 >= 0), cost: 507-5*i8^0 Applied chaining First rule: l1 -> l9 : Sorted5^0'=0, Index7^0'=100, Temp6^0'=Temp6^post11, -1+i8^0 <= 0, cost: 497 Second rule: l9 -> l1 : i8^0'=1+i8^0, (Sorted5^0 == 0 /\ -100+Index7^0 >= 0), cost: 4 New rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=100, i8^0'=1+i8^0, Temp6^0'=Temp6^post11, (0 >= 0 /\ 0 == 0 /\ -1+i8^0 <= 0), cost: 501 Applied simplification Original rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=100, i8^0'=1+i8^0, Temp6^0'=Temp6^post11, (0 >= 0 /\ 0 == 0 /\ -1+i8^0 <= 0), cost: 501 New rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=100, i8^0'=1+i8^0, Temp6^0'=Temp6^post11, -1+i8^0 <= 0, cost: 501 Applied partial deletion Original rule: l1 -> l9 : Sorted5^0'=1, Index7^0'=101-i8^0, (-1+i8^0 >= 0 /\ -99+i8^0 <= 0), cost: 502-5*i8^0 New rule: l1 -> [18] : (-1+i8^0 >= 0 /\ -99+i8^0 <= 0), cost: 502-5*i8^0 Applied deletion Removed the following rules: 40 55 56 67 68 69 70 Eliminated locations on tree-shaped paths Start location: l15 71: l1 -> l1 : Sorted5^0'=0, Index7^0'=101-i8^0, i8^0'=1+i8^0, Temp6^0'=Temp6^post11, (-1+i8^0 <= 0 /\ -1+i8^0 >= 0), cost: 506-5*i8^0 72: l1 -> l1 : Sorted5^0'=0, Index7^0'=101-i8^0, i8^0'=1+i8^0, Temp6^0'=Temp6^post11, (-99+i8^0 <= 0 /\ -2+i8^0 >= 0), cost: 507-5*i8^0 73: l1 -> l1 : Sorted5^0'=0, Index7^0'=100, i8^0'=1+i8^0, Temp6^0'=Temp6^post11, -1+i8^0 <= 0, cost: 501 74: l1 -> [18] : (-1+i8^0 >= 0 /\ -99+i8^0 <= 0), cost: 502-5*i8^0 51: l15 -> l1 : Index2^0'=101, factor^0'=-1, Sorted5^0'=0, fact3^0'=-1, i8^0'=1, (0 >= 0 /\ -100 <= 0), cost: 204 Applied pruning (of leafs and parallel rules): Start location: l15 71: l1 -> l1 : Sorted5^0'=0, Index7^0'=101-i8^0, i8^0'=1+i8^0, Temp6^0'=Temp6^post11, (-1+i8^0 <= 0 /\ -1+i8^0 >= 0), cost: 506-5*i8^0 72: l1 -> l1 : Sorted5^0'=0, Index7^0'=101-i8^0, i8^0'=1+i8^0, Temp6^0'=Temp6^post11, (-99+i8^0 <= 0 /\ -2+i8^0 >= 0), cost: 507-5*i8^0 73: l1 -> l1 : Sorted5^0'=0, Index7^0'=100, i8^0'=1+i8^0, Temp6^0'=Temp6^post11, -1+i8^0 <= 0, cost: 501 51: l15 -> l1 : Index2^0'=101, factor^0'=-1, Sorted5^0'=0, fact3^0'=-1, i8^0'=1, (0 >= 0 /\ -100 <= 0), cost: 204 Applied simplification Original rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=101-i8^0, i8^0'=1+i8^0, Temp6^0'=Temp6^post11, (-1+i8^0 <= 0 /\ -1+i8^0 >= 0), cost: 506-5*i8^0 New rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=101-i8^0, i8^0'=1+i8^0, Temp6^0'=Temp6^post11, -1+i8^0 == 0, cost: 506-5*i8^0 Simplified simple loops Start location: l15 72: l1 -> l1 : Sorted5^0'=0, Index7^0'=101-i8^0, i8^0'=1+i8^0, Temp6^0'=Temp6^post11, (-99+i8^0 <= 0 /\ -2+i8^0 >= 0), cost: 507-5*i8^0 73: l1 -> l1 : Sorted5^0'=0, Index7^0'=100, i8^0'=1+i8^0, Temp6^0'=Temp6^post11, -1+i8^0 <= 0, cost: 501 75: l1 -> l1 : Sorted5^0'=0, Index7^0'=101-i8^0, i8^0'=1+i8^0, Temp6^0'=Temp6^post11, -1+i8^0 == 0, cost: 506-5*i8^0 51: l15 -> l1 : Index2^0'=101, factor^0'=-1, Sorted5^0'=0, fact3^0'=-1, i8^0'=1, (0 >= 0 /\ -100 <= 0), cost: 204 Applied acceleration Original rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=101-i8^0, i8^0'=1+i8^0, Temp6^0'=Temp6^post11, (-99+i8^0 <= 0 /\ -2+i8^0 >= 0), cost: 507-5*i8^0 New rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=102-n21-i8^0, i8^0'=n21+i8^0, Temp6^0'=Temp6^post11, (-1+n21 >= 0 /\ -2+i8^0 >= 0 /\ 100-n21-i8^0 >= 0), cost: 1019/2*n21-5*n21*i8^0-5/2*n21^2 Applied instantiation Original rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=102-n21-i8^0, i8^0'=n21+i8^0, Temp6^0'=Temp6^post11, (-1+n21 >= 0 /\ -2+i8^0 >= 0 /\ 100-n21-i8^0 >= 0), cost: 1019/2*n21-5*n21*i8^0-5/2*n21^2 New rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=2, i8^0'=100, Temp6^0'=Temp6^post11, (0 >= 0 /\ -2+i8^0 >= 0 /\ 99-i8^0 >= 0), cost: 50950-1019/2*i8^0-5/2*(-100+i8^0)^2+5*(-100+i8^0)*i8^0 Applied acceleration Original rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=100, i8^0'=1+i8^0, Temp6^0'=Temp6^post11, -1+i8^0 <= 0, cost: 501 New rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=100, i8^0'=n23+i8^0, Temp6^0'=Temp6^post11, (-1+n23 >= 0 /\ 2-n23-i8^0 >= 0), cost: 501*n23 Applied instantiation Original rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=100, i8^0'=n23+i8^0, Temp6^0'=Temp6^post11, (-1+n23 >= 0 /\ 2-n23-i8^0 >= 0), cost: 501*n23 New rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=100, i8^0'=2, Temp6^0'=Temp6^post11, (0 >= 0 /\ 1-i8^0 >= 0), cost: 1002-501*i8^0 Applied acceleration Original rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=101-i8^0, i8^0'=1+i8^0, Temp6^0'=Temp6^post11, -1+i8^0 == 0, cost: 506-5*i8^0 New rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=102-n25-i8^0, i8^0'=n25+i8^0, Temp6^0'=Temp6^post11, (1-i8^0 >= 0 /\ -1+i8^0 >= 0 /\ -1+n25 >= 0 /\ 2-n25-i8^0 >= 0), cost: -5/2*n25^2+1017/2*n25-5*n25*i8^0 Applied instantiation Original rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=102-n25-i8^0, i8^0'=n25+i8^0, Temp6^0'=Temp6^post11, (1-i8^0 >= 0 /\ -1+i8^0 >= 0 /\ -1+n25 >= 0 /\ 2-n25-i8^0 >= 0), cost: -5/2*n25^2+1017/2*n25-5*n25*i8^0 New rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=100, i8^0'=2, Temp6^0'=Temp6^post11, (0 >= 0 /\ 1-i8^0 >= 0 /\ -1+i8^0 >= 0), cost: 1017-5/2*(-2+i8^0)^2+5*i8^0*(-2+i8^0)-1017/2*i8^0 Applied simplification Original rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=2, i8^0'=100, Temp6^0'=Temp6^post11, (0 >= 0 /\ -2+i8^0 >= 0 /\ 99-i8^0 >= 0), cost: 50950-1019/2*i8^0-5/2*(-100+i8^0)^2+5*(-100+i8^0)*i8^0 New rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=2, i8^0'=100, Temp6^0'=Temp6^post11, (-99+i8^0 <= 0 /\ -2+i8^0 >= 0), cost: 50950-1019/2*i8^0-5/2*(-100+i8^0)^2+5*(-100+i8^0)*i8^0 Applied simplification Original rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=100, i8^0'=2, Temp6^0'=Temp6^post11, (0 >= 0 /\ 1-i8^0 >= 0), cost: 1002-501*i8^0 New rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=100, i8^0'=2, Temp6^0'=Temp6^post11, -1+i8^0 <= 0, cost: 1002-501*i8^0 Applied simplification Original rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=100, i8^0'=2, Temp6^0'=Temp6^post11, (0 >= 0 /\ 1-i8^0 >= 0 /\ -1+i8^0 >= 0), cost: 1017-5/2*(-2+i8^0)^2+5*i8^0*(-2+i8^0)-1017/2*i8^0 New rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=100, i8^0'=2, Temp6^0'=Temp6^post11, (-1+i8^0 <= 0 /\ -1+i8^0 >= 0), cost: 1017-5/2*(-2+i8^0)^2+5*i8^0*(-2+i8^0)-1017/2*i8^0 Applied deletion Removed the following rules: 72 73 75 Accelerated simple loops Start location: l15 79: l1 -> l1 : Sorted5^0'=0, Index7^0'=2, i8^0'=100, Temp6^0'=Temp6^post11, (-99+i8^0 <= 0 /\ -2+i8^0 >= 0), cost: 50950-1019/2*i8^0-5/2*(-100+i8^0)^2+5*(-100+i8^0)*i8^0 80: l1 -> l1 : Sorted5^0'=0, Index7^0'=100, i8^0'=2, Temp6^0'=Temp6^post11, -1+i8^0 <= 0, cost: 1002-501*i8^0 81: l1 -> l1 : Sorted5^0'=0, Index7^0'=100, i8^0'=2, Temp6^0'=Temp6^post11, (-1+i8^0 <= 0 /\ -1+i8^0 >= 0), cost: 1017-5/2*(-2+i8^0)^2+5*i8^0*(-2+i8^0)-1017/2*i8^0 51: l15 -> l1 : Index2^0'=101, factor^0'=-1, Sorted5^0'=0, fact3^0'=-1, i8^0'=1, (0 >= 0 /\ -100 <= 0), cost: 204 Applied chaining First rule: l15 -> l1 : Index2^0'=101, factor^0'=-1, Sorted5^0'=0, fact3^0'=-1, i8^0'=1, (0 >= 0 /\ -100 <= 0), cost: 204 Second rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=100, i8^0'=2, Temp6^0'=Temp6^post11, -1+i8^0 <= 0, cost: 1002-501*i8^0 New rule: l15 -> l1 : Index2^0'=101, factor^0'=-1, Sorted5^0'=0, fact3^0'=-1, Index7^0'=100, i8^0'=2, Temp6^0'=Temp6^post11, (0 == 0 /\ -100 <= 0), cost: 705 Applied chaining First rule: l15 -> l1 : Index2^0'=101, factor^0'=-1, Sorted5^0'=0, fact3^0'=-1, i8^0'=1, (0 >= 0 /\ -100 <= 0), cost: 204 Second rule: l1 -> l1 : Sorted5^0'=0, Index7^0'=100, i8^0'=2, Temp6^0'=Temp6^post11, (-1+i8^0 <= 0 /\ -1+i8^0 >= 0), cost: 1017-5/2*(-2+i8^0)^2+5*i8^0*(-2+i8^0)-1017/2*i8^0 New rule: l15 -> l1 : Index2^0'=101, factor^0'=-1, Sorted5^0'=0, fact3^0'=-1, Index7^0'=100, i8^0'=2, Temp6^0'=Temp6^post11, (0 == 0 /\ -100 <= 0), cost: 705 Applied deletion Removed the following rules: 79 80 81 Chained accelerated rules with incoming rules Start location: l15 51: l15 -> l1 : Index2^0'=101, factor^0'=-1, Sorted5^0'=0, fact3^0'=-1, i8^0'=1, (0 >= 0 /\ -100 <= 0), cost: 204 82: l15 -> l1 : Index2^0'=101, factor^0'=-1, Sorted5^0'=0, fact3^0'=-1, Index7^0'=100, i8^0'=2, Temp6^0'=Temp6^post11, (0 == 0 /\ -100 <= 0), cost: 705 83: l15 -> l1 : Index2^0'=101, factor^0'=-1, Sorted5^0'=0, fact3^0'=-1, Index7^0'=100, i8^0'=2, Temp6^0'=Temp6^post11, (0 == 0 /\ -100 <= 0), cost: 705 Removed unreachable locations and irrelevant leafs Start location: l15 Computing asymptotic complexity Proved the following lower bound Complexity: Unknown Cpx degree: ? Solved cost: 0 Rule cost: 0