WORST_CASE(Omega(0),?) Initial ITS Start location: l18 0: l0 -> l1 : __const_100^0'=__const_100^post0, i^0'=i^post0, i2^0'=i2^post0, r^0'=r^post0, (-r^post0+r^0 == 0 /\ i2^0-i2^post0 == 0 /\ __const_100^0-i^0 <= 0 /\ __const_100^0-__const_100^post0 == 0 /\ i^post0 == 0), cost: 1 1: l0 -> l2 : __const_100^0'=__const_100^post1, i^0'=i^post1, i2^0'=i2^post1, r^0'=r^post1, (i2^post1-i^0 == 0 /\ __const_100^0-__const_100^post1 == 0 /\ -i^post1+i^0 == 0 /\ 1-__const_100^0+i^0 <= 0 /\ -r^post1+r^0 == 0), cost: 1 16: l1 -> l10 : __const_100^0'=__const_100^post16, i^0'=i^post16, i2^0'=i2^post16, r^0'=r^post16, (-r^post16+r^0 == 0 /\ __const_100^0-__const_100^post16 == 0 /\ i^0-i^post16 == 0 /\ i2^0-i2^post16 == 0), cost: 1 23: l2 -> l16 : __const_100^0'=__const_100^post23, i^0'=i^post23, i2^0'=i2^post23, r^0'=r^post23, (i^0-i^post23 == 0 /\ r^0-r^post23 == 0 /\ __const_100^0-__const_100^post23 == 0 /\ -i2^post23+i2^0 == 0), cost: 1 24: l2 -> l12 : __const_100^0'=__const_100^post24, i^0'=i^post24, i2^0'=i2^post24, r^0'=r^post24, (__const_100^0-__const_100^post24 == 0 /\ i2^0-i2^post24 == 0 /\ -r^post24+r^0 == 0 /\ i^0-i^post24 == 0), cost: 1 25: l2 -> l16 : __const_100^0'=__const_100^post25, i^0'=i^post25, i2^0'=i2^post25, r^0'=r^post25, (__const_100^0-__const_100^post25 == 0 /\ -r^post25+r^0 == 0 /\ -i^post25+i^0 == 0 /\ -i2^post25+i2^0 == 0), cost: 1 2: l3 -> l1 : __const_100^0'=__const_100^post2, i^0'=i^post2, i2^0'=i2^post2, r^0'=r^post2, (-1-i^0+i^post2 == 0 /\ -i2^post2+i2^0 == 0 /\ -r^post2+r^0 == 0 /\ __const_100^0-__const_100^post2 == 0), cost: 1 3: l4 -> l5 : __const_100^0'=__const_100^post3, i^0'=i^post3, i2^0'=i2^post3, r^0'=r^post3, (__const_100^0-__const_100^post3 == 0 /\ i^0-i^post3 == 0 /\ i2^0-i2^post3 == 0 /\ -r^post3+r^0 == 0), cost: 1 4: l5 -> l3 : __const_100^0'=__const_100^post4, i^0'=i^post4, i2^0'=i2^post4, r^0'=r^post4, (__const_100^0-__const_100^post4 == 0 /\ -r^post4+r^0 == 0 /\ -i2^post4+i2^0 == 0 /\ -i^post4+i^0 == 0), cost: 1 5: l6 -> l0 : __const_100^0'=__const_100^post5, i^0'=i^post5, i2^0'=i2^post5, r^0'=r^post5, (__const_100^0-__const_100^post5 == 0 /\ i^0-i^post5 == 0 /\ -r^post5+r^0 == 0 /\ -i2^post5+i2^0 == 0), cost: 1 6: l7 -> l4 : __const_100^0'=__const_100^post6, i^0'=i^post6, i2^0'=i2^post6, r^0'=r^post6, (i^0-i^post6 == 0 /\ r^0-r^post6 == 0 /\ __const_100^0-__const_100^post6 == 0 /\ -i2^post6+i2^0 == 0), cost: 1 7: l7 -> l4 : __const_100^0'=__const_100^post7, i^0'=i^post7, i2^0'=i2^post7, r^0'=r^post7, (__const_100^0-__const_100^post7 == 0 /\ i2^0-i2^post7 == 0 /\ i^0-i^post7 == 0 /\ -r^post7+r^0 == 0), cost: 1 8: l7 -> l5 : __const_100^0'=__const_100^post8, i^0'=i^post8, i2^0'=i2^post8, r^0'=r^post8, (-r^post8+r^0 == 0 /\ -i2^post8+i2^0 == 0 /\ __const_100^0-__const_100^post8 == 0 /\ i^0-i^post8 == 0), cost: 1 9: l8 -> l7 : __const_100^0'=__const_100^post9, i^0'=i^post9, i2^0'=i2^post9, r^0'=r^post9, (0 == 0 /\ -i^post9+i^0 == 0 /\ __const_100^0-__const_100^post9 == 0 /\ -i2^post9+i2^0 == 0), cost: 1 10: l9 -> l8 : __const_100^0'=__const_100^post10, i^0'=i^post10, i2^0'=i2^post10, r^0'=r^post10, (-r^post10+r^0 == 0 /\ __const_100^0-__const_100^post10 == 0 /\ -i2^post10+i2^0 == 0 /\ i^0-i^post10 == 0), cost: 1 11: l9 -> l3 : __const_100^0'=__const_100^post11, i^0'=i^post11, i2^0'=i2^post11, r^0'=r^post11, (i2^0-i2^post11 == 0 /\ -r^post11+r^0 == 0 /\ __const_100^0-__const_100^post11 == 0 /\ i^0-i^post11 == 0), cost: 1 12: l9 -> l8 : __const_100^0'=__const_100^post12, i^0'=i^post12, i2^0'=i2^post12, r^0'=r^post12, (i2^0-i2^post12 == 0 /\ __const_100^0-__const_100^post12 == 0 /\ -r^post12+r^0 == 0 /\ i^0-i^post12 == 0), cost: 1 13: l10 -> l11 : __const_100^0'=__const_100^post13, i^0'=i^post13, i2^0'=i2^post13, r^0'=r^post13, (-r^post13+r^0 == 0 /\ -i2^post13+i2^0 == 0 /\ __const_100^0-i^0 <= 0 /\ __const_100^0-__const_100^post13 == 0 /\ i^0-i^post13 == 0), cost: 1 14: l10 -> l9 : __const_100^0'=__const_100^post14, i^0'=i^post14, i2^0'=i2^post14, r^0'=r^post14, (-r^post14+r^0 == 0 /\ __const_100^0-__const_100^post14 == 0 /\ -i^post14+i^0 == 0 /\ -i2^post14+i2^0 == 0 /\ 1-__const_100^0+i^0 <= 0), cost: 1 15: l12 -> l6 : __const_100^0'=__const_100^post15, i^0'=i^post15, i2^0'=i2^post15, r^0'=r^post15, (-r^post15+r^0 == 0 /\ -1-i^0+i^post15 == 0 /\ -i2^post15+i2^0 == 0 /\ __const_100^0-__const_100^post15 == 0), cost: 1 17: l13 -> l14 : __const_100^0'=__const_100^post17, i^0'=i^post17, i2^0'=i2^post17, r^0'=r^post17, (-r^post17+r^0 == 0 /\ i2^0-i2^post17 == 0 /\ __const_100^0-__const_100^post17 == 0 /\ i^0-i^post17 == 0), cost: 1 18: l14 -> l12 : __const_100^0'=__const_100^post18, i^0'=i^post18, i2^0'=i2^post18, r^0'=r^post18, (-r^post18+r^0 == 0 /\ __const_100^0-__const_100^post18 == 0 /\ -i2^post18+i2^0 == 0 /\ -i^post18+i^0 == 0), cost: 1 19: l15 -> l13 : __const_100^0'=__const_100^post19, i^0'=i^post19, i2^0'=i2^post19, r^0'=r^post19, (-i2^post19+i2^0 == 0 /\ i^0-i^post19 == 0 /\ __const_100^0-__const_100^post19 == 0 /\ r^0-r^post19 == 0), cost: 1 20: l15 -> l13 : __const_100^0'=__const_100^post20, i^0'=i^post20, i2^0'=i2^post20, r^0'=r^post20, (i2^0-i2^post20 == 0 /\ i^0-i^post20 == 0 /\ -r^post20+r^0 == 0 /\ __const_100^0-__const_100^post20 == 0), cost: 1 21: l15 -> l14 : __const_100^0'=__const_100^post21, i^0'=i^post21, i2^0'=i2^post21, r^0'=r^post21, (-i2^post21+i2^0 == 0 /\ __const_100^0-__const_100^post21 == 0 /\ -r^post21+r^0 == 0 /\ -i^post21+i^0 == 0), cost: 1 22: l16 -> l15 : __const_100^0'=__const_100^post22, i^0'=i^post22, i2^0'=i2^post22, r^0'=r^post22, (__const_100^0-__const_100^post22 == 0 /\ i^0-i^post22 == 0 /\ -r^post22+r^0 == 0 /\ -i2^post22+i2^0 == 0), cost: 1 26: l17 -> l6 : __const_100^0'=__const_100^post26, i^0'=i^post26, i2^0'=i2^post26, r^0'=r^post26, (-r^post26+r^0 == 0 /\ i^10 == 0 /\ i2^0-i2^post26 == 0 /\ __const_100^0-__const_100^post26 == 0 /\ i^post26 == 0), cost: 1 27: l18 -> l17 : __const_100^0'=__const_100^post27, i^0'=i^post27, i2^0'=i2^post27, r^0'=r^post27, (-r^post27+r^0 == 0 /\ __const_100^0-__const_100^post27 == 0 /\ -i^post27+i^0 == 0 /\ -i2^post27+i2^0 == 0), cost: 1 Removed unreachable rules and leafs Start location: l18 0: l0 -> l1 : __const_100^0'=__const_100^post0, i^0'=i^post0, i2^0'=i2^post0, r^0'=r^post0, (-r^post0+r^0 == 0 /\ i2^0-i2^post0 == 0 /\ __const_100^0-i^0 <= 0 /\ __const_100^0-__const_100^post0 == 0 /\ i^post0 == 0), cost: 1 1: l0 -> l2 : __const_100^0'=__const_100^post1, i^0'=i^post1, i2^0'=i2^post1, r^0'=r^post1, (i2^post1-i^0 == 0 /\ __const_100^0-__const_100^post1 == 0 /\ -i^post1+i^0 == 0 /\ 1-__const_100^0+i^0 <= 0 /\ -r^post1+r^0 == 0), cost: 1 16: l1 -> l10 : __const_100^0'=__const_100^post16, i^0'=i^post16, i2^0'=i2^post16, r^0'=r^post16, (-r^post16+r^0 == 0 /\ __const_100^0-__const_100^post16 == 0 /\ i^0-i^post16 == 0 /\ i2^0-i2^post16 == 0), cost: 1 23: l2 -> l16 : __const_100^0'=__const_100^post23, i^0'=i^post23, i2^0'=i2^post23, r^0'=r^post23, (i^0-i^post23 == 0 /\ r^0-r^post23 == 0 /\ __const_100^0-__const_100^post23 == 0 /\ -i2^post23+i2^0 == 0), cost: 1 24: l2 -> l12 : __const_100^0'=__const_100^post24, i^0'=i^post24, i2^0'=i2^post24, r^0'=r^post24, (__const_100^0-__const_100^post24 == 0 /\ i2^0-i2^post24 == 0 /\ -r^post24+r^0 == 0 /\ i^0-i^post24 == 0), cost: 1 25: l2 -> l16 : __const_100^0'=__const_100^post25, i^0'=i^post25, i2^0'=i2^post25, r^0'=r^post25, (__const_100^0-__const_100^post25 == 0 /\ -r^post25+r^0 == 0 /\ -i^post25+i^0 == 0 /\ -i2^post25+i2^0 == 0), cost: 1 2: l3 -> l1 : __const_100^0'=__const_100^post2, i^0'=i^post2, i2^0'=i2^post2, r^0'=r^post2, (-1-i^0+i^post2 == 0 /\ -i2^post2+i2^0 == 0 /\ -r^post2+r^0 == 0 /\ __const_100^0-__const_100^post2 == 0), cost: 1 3: l4 -> l5 : __const_100^0'=__const_100^post3, i^0'=i^post3, i2^0'=i2^post3, r^0'=r^post3, (__const_100^0-__const_100^post3 == 0 /\ i^0-i^post3 == 0 /\ i2^0-i2^post3 == 0 /\ -r^post3+r^0 == 0), cost: 1 4: l5 -> l3 : __const_100^0'=__const_100^post4, i^0'=i^post4, i2^0'=i2^post4, r^0'=r^post4, (__const_100^0-__const_100^post4 == 0 /\ -r^post4+r^0 == 0 /\ -i2^post4+i2^0 == 0 /\ -i^post4+i^0 == 0), cost: 1 5: l6 -> l0 : __const_100^0'=__const_100^post5, i^0'=i^post5, i2^0'=i2^post5, r^0'=r^post5, (__const_100^0-__const_100^post5 == 0 /\ i^0-i^post5 == 0 /\ -r^post5+r^0 == 0 /\ -i2^post5+i2^0 == 0), cost: 1 6: l7 -> l4 : __const_100^0'=__const_100^post6, i^0'=i^post6, i2^0'=i2^post6, r^0'=r^post6, (i^0-i^post6 == 0 /\ r^0-r^post6 == 0 /\ __const_100^0-__const_100^post6 == 0 /\ -i2^post6+i2^0 == 0), cost: 1 7: l7 -> l4 : __const_100^0'=__const_100^post7, i^0'=i^post7, i2^0'=i2^post7, r^0'=r^post7, (__const_100^0-__const_100^post7 == 0 /\ i2^0-i2^post7 == 0 /\ i^0-i^post7 == 0 /\ -r^post7+r^0 == 0), cost: 1 8: l7 -> l5 : __const_100^0'=__const_100^post8, i^0'=i^post8, i2^0'=i2^post8, r^0'=r^post8, (-r^post8+r^0 == 0 /\ -i2^post8+i2^0 == 0 /\ __const_100^0-__const_100^post8 == 0 /\ i^0-i^post8 == 0), cost: 1 9: l8 -> l7 : __const_100^0'=__const_100^post9, i^0'=i^post9, i2^0'=i2^post9, r^0'=r^post9, (0 == 0 /\ -i^post9+i^0 == 0 /\ __const_100^0-__const_100^post9 == 0 /\ -i2^post9+i2^0 == 0), cost: 1 10: l9 -> l8 : __const_100^0'=__const_100^post10, i^0'=i^post10, i2^0'=i2^post10, r^0'=r^post10, (-r^post10+r^0 == 0 /\ __const_100^0-__const_100^post10 == 0 /\ -i2^post10+i2^0 == 0 /\ i^0-i^post10 == 0), cost: 1 11: l9 -> l3 : __const_100^0'=__const_100^post11, i^0'=i^post11, i2^0'=i2^post11, r^0'=r^post11, (i2^0-i2^post11 == 0 /\ -r^post11+r^0 == 0 /\ __const_100^0-__const_100^post11 == 0 /\ i^0-i^post11 == 0), cost: 1 12: l9 -> l8 : __const_100^0'=__const_100^post12, i^0'=i^post12, i2^0'=i2^post12, r^0'=r^post12, (i2^0-i2^post12 == 0 /\ __const_100^0-__const_100^post12 == 0 /\ -r^post12+r^0 == 0 /\ i^0-i^post12 == 0), cost: 1 14: l10 -> l9 : __const_100^0'=__const_100^post14, i^0'=i^post14, i2^0'=i2^post14, r^0'=r^post14, (-r^post14+r^0 == 0 /\ __const_100^0-__const_100^post14 == 0 /\ -i^post14+i^0 == 0 /\ -i2^post14+i2^0 == 0 /\ 1-__const_100^0+i^0 <= 0), cost: 1 15: l12 -> l6 : __const_100^0'=__const_100^post15, i^0'=i^post15, i2^0'=i2^post15, r^0'=r^post15, (-r^post15+r^0 == 0 /\ -1-i^0+i^post15 == 0 /\ -i2^post15+i2^0 == 0 /\ __const_100^0-__const_100^post15 == 0), cost: 1 17: l13 -> l14 : __const_100^0'=__const_100^post17, i^0'=i^post17, i2^0'=i2^post17, r^0'=r^post17, (-r^post17+r^0 == 0 /\ i2^0-i2^post17 == 0 /\ __const_100^0-__const_100^post17 == 0 /\ i^0-i^post17 == 0), cost: 1 18: l14 -> l12 : __const_100^0'=__const_100^post18, i^0'=i^post18, i2^0'=i2^post18, r^0'=r^post18, (-r^post18+r^0 == 0 /\ __const_100^0-__const_100^post18 == 0 /\ -i2^post18+i2^0 == 0 /\ -i^post18+i^0 == 0), cost: 1 19: l15 -> l13 : __const_100^0'=__const_100^post19, i^0'=i^post19, i2^0'=i2^post19, r^0'=r^post19, (-i2^post19+i2^0 == 0 /\ i^0-i^post19 == 0 /\ __const_100^0-__const_100^post19 == 0 /\ r^0-r^post19 == 0), cost: 1 20: l15 -> l13 : __const_100^0'=__const_100^post20, i^0'=i^post20, i2^0'=i2^post20, r^0'=r^post20, (i2^0-i2^post20 == 0 /\ i^0-i^post20 == 0 /\ -r^post20+r^0 == 0 /\ __const_100^0-__const_100^post20 == 0), cost: 1 21: l15 -> l14 : __const_100^0'=__const_100^post21, i^0'=i^post21, i2^0'=i2^post21, r^0'=r^post21, (-i2^post21+i2^0 == 0 /\ __const_100^0-__const_100^post21 == 0 /\ -r^post21+r^0 == 0 /\ -i^post21+i^0 == 0), cost: 1 22: l16 -> l15 : __const_100^0'=__const_100^post22, i^0'=i^post22, i2^0'=i2^post22, r^0'=r^post22, (__const_100^0-__const_100^post22 == 0 /\ i^0-i^post22 == 0 /\ -r^post22+r^0 == 0 /\ -i2^post22+i2^0 == 0), cost: 1 26: l17 -> l6 : __const_100^0'=__const_100^post26, i^0'=i^post26, i2^0'=i2^post26, r^0'=r^post26, (-r^post26+r^0 == 0 /\ i^10 == 0 /\ i2^0-i2^post26 == 0 /\ __const_100^0-__const_100^post26 == 0 /\ i^post26 == 0), cost: 1 27: l18 -> l17 : __const_100^0'=__const_100^post27, i^0'=i^post27, i2^0'=i2^post27, r^0'=r^post27, (-r^post27+r^0 == 0 /\ __const_100^0-__const_100^post27 == 0 /\ -i^post27+i^0 == 0 /\ -i2^post27+i2^0 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l1 : __const_100^0'=__const_100^post0, i^0'=i^post0, i2^0'=i2^post0, r^0'=r^post0, (-r^post0+r^0 == 0 /\ i2^0-i2^post0 == 0 /\ __const_100^0-i^0 <= 0 /\ __const_100^0-__const_100^post0 == 0 /\ i^post0 == 0), cost: 1 New rule: l0 -> l1 : i^0'=0, __const_100^0-i^0 <= 0, cost: 1 Applied preprocessing Original rule: l0 -> l2 : __const_100^0'=__const_100^post1, i^0'=i^post1, i2^0'=i2^post1, r^0'=r^post1, (i2^post1-i^0 == 0 /\ __const_100^0-__const_100^post1 == 0 /\ -i^post1+i^0 == 0 /\ 1-__const_100^0+i^0 <= 0 /\ -r^post1+r^0 == 0), cost: 1 New rule: l0 -> l2 : i2^0'=i^0, 1-__const_100^0+i^0 <= 0, cost: 1 Applied preprocessing Original rule: l3 -> l1 : __const_100^0'=__const_100^post2, i^0'=i^post2, i2^0'=i2^post2, r^0'=r^post2, (-1-i^0+i^post2 == 0 /\ -i2^post2+i2^0 == 0 /\ -r^post2+r^0 == 0 /\ __const_100^0-__const_100^post2 == 0), cost: 1 New rule: l3 -> l1 : i^0'=1+i^0, TRUE, cost: 1 Applied preprocessing Original rule: l4 -> l5 : __const_100^0'=__const_100^post3, i^0'=i^post3, i2^0'=i2^post3, r^0'=r^post3, (__const_100^0-__const_100^post3 == 0 /\ i^0-i^post3 == 0 /\ i2^0-i2^post3 == 0 /\ -r^post3+r^0 == 0), cost: 1 New rule: l4 -> l5 : TRUE, cost: 1 Applied preprocessing Original rule: l5 -> l3 : __const_100^0'=__const_100^post4, i^0'=i^post4, i2^0'=i2^post4, r^0'=r^post4, (__const_100^0-__const_100^post4 == 0 /\ -r^post4+r^0 == 0 /\ -i2^post4+i2^0 == 0 /\ -i^post4+i^0 == 0), cost: 1 New rule: l5 -> l3 : TRUE, cost: 1 Applied preprocessing Original rule: l6 -> l0 : __const_100^0'=__const_100^post5, i^0'=i^post5, i2^0'=i2^post5, r^0'=r^post5, (__const_100^0-__const_100^post5 == 0 /\ i^0-i^post5 == 0 /\ -r^post5+r^0 == 0 /\ -i2^post5+i2^0 == 0), cost: 1 New rule: l6 -> l0 : TRUE, cost: 1 Applied preprocessing Original rule: l7 -> l4 : __const_100^0'=__const_100^post6, i^0'=i^post6, i2^0'=i2^post6, r^0'=r^post6, (i^0-i^post6 == 0 /\ r^0-r^post6 == 0 /\ __const_100^0-__const_100^post6 == 0 /\ -i2^post6+i2^0 == 0), cost: 1 New rule: l7 -> l4 : TRUE, cost: 1 Applied preprocessing Original rule: l7 -> l4 : __const_100^0'=__const_100^post7, i^0'=i^post7, i2^0'=i2^post7, r^0'=r^post7, (__const_100^0-__const_100^post7 == 0 /\ i2^0-i2^post7 == 0 /\ i^0-i^post7 == 0 /\ -r^post7+r^0 == 0), cost: 1 New rule: l7 -> l4 : TRUE, cost: 1 Applied preprocessing Original rule: l7 -> l5 : __const_100^0'=__const_100^post8, i^0'=i^post8, i2^0'=i2^post8, r^0'=r^post8, (-r^post8+r^0 == 0 /\ -i2^post8+i2^0 == 0 /\ __const_100^0-__const_100^post8 == 0 /\ i^0-i^post8 == 0), cost: 1 New rule: l7 -> l5 : TRUE, cost: 1 Applied preprocessing Original rule: l8 -> l7 : __const_100^0'=__const_100^post9, i^0'=i^post9, i2^0'=i2^post9, r^0'=r^post9, (0 == 0 /\ -i^post9+i^0 == 0 /\ __const_100^0-__const_100^post9 == 0 /\ -i2^post9+i2^0 == 0), cost: 1 New rule: l8 -> l7 : r^0'=r^post9, 0 == 0, cost: 1 Applied preprocessing Original rule: l9 -> l8 : __const_100^0'=__const_100^post10, i^0'=i^post10, i2^0'=i2^post10, r^0'=r^post10, (-r^post10+r^0 == 0 /\ __const_100^0-__const_100^post10 == 0 /\ -i2^post10+i2^0 == 0 /\ i^0-i^post10 == 0), cost: 1 New rule: l9 -> l8 : TRUE, cost: 1 Applied preprocessing Original rule: l9 -> l3 : __const_100^0'=__const_100^post11, i^0'=i^post11, i2^0'=i2^post11, r^0'=r^post11, (i2^0-i2^post11 == 0 /\ -r^post11+r^0 == 0 /\ __const_100^0-__const_100^post11 == 0 /\ i^0-i^post11 == 0), cost: 1 New rule: l9 -> l3 : TRUE, cost: 1 Applied preprocessing Original rule: l9 -> l8 : __const_100^0'=__const_100^post12, i^0'=i^post12, i2^0'=i2^post12, r^0'=r^post12, (i2^0-i2^post12 == 0 /\ __const_100^0-__const_100^post12 == 0 /\ -r^post12+r^0 == 0 /\ i^0-i^post12 == 0), cost: 1 New rule: l9 -> l8 : TRUE, cost: 1 Applied preprocessing Original rule: l10 -> l9 : __const_100^0'=__const_100^post14, i^0'=i^post14, i2^0'=i2^post14, r^0'=r^post14, (-r^post14+r^0 == 0 /\ __const_100^0-__const_100^post14 == 0 /\ -i^post14+i^0 == 0 /\ -i2^post14+i2^0 == 0 /\ 1-__const_100^0+i^0 <= 0), cost: 1 New rule: l10 -> l9 : 1-__const_100^0+i^0 <= 0, cost: 1 Applied preprocessing Original rule: l12 -> l6 : __const_100^0'=__const_100^post15, i^0'=i^post15, i2^0'=i2^post15, r^0'=r^post15, (-r^post15+r^0 == 0 /\ -1-i^0+i^post15 == 0 /\ -i2^post15+i2^0 == 0 /\ __const_100^0-__const_100^post15 == 0), cost: 1 New rule: l12 -> l6 : i^0'=1+i^0, TRUE, cost: 1 Applied preprocessing Original rule: l1 -> l10 : __const_100^0'=__const_100^post16, i^0'=i^post16, i2^0'=i2^post16, r^0'=r^post16, (-r^post16+r^0 == 0 /\ __const_100^0-__const_100^post16 == 0 /\ i^0-i^post16 == 0 /\ i2^0-i2^post16 == 0), cost: 1 New rule: l1 -> l10 : TRUE, cost: 1 Applied preprocessing Original rule: l13 -> l14 : __const_100^0'=__const_100^post17, i^0'=i^post17, i2^0'=i2^post17, r^0'=r^post17, (-r^post17+r^0 == 0 /\ i2^0-i2^post17 == 0 /\ __const_100^0-__const_100^post17 == 0 /\ i^0-i^post17 == 0), cost: 1 New rule: l13 -> l14 : TRUE, cost: 1 Applied preprocessing Original rule: l14 -> l12 : __const_100^0'=__const_100^post18, i^0'=i^post18, i2^0'=i2^post18, r^0'=r^post18, (-r^post18+r^0 == 0 /\ __const_100^0-__const_100^post18 == 0 /\ -i2^post18+i2^0 == 0 /\ -i^post18+i^0 == 0), cost: 1 New rule: l14 -> l12 : TRUE, cost: 1 Applied preprocessing Original rule: l15 -> l13 : __const_100^0'=__const_100^post19, i^0'=i^post19, i2^0'=i2^post19, r^0'=r^post19, (-i2^post19+i2^0 == 0 /\ i^0-i^post19 == 0 /\ __const_100^0-__const_100^post19 == 0 /\ r^0-r^post19 == 0), cost: 1 New rule: l15 -> l13 : TRUE, cost: 1 Applied preprocessing Original rule: l15 -> l13 : __const_100^0'=__const_100^post20, i^0'=i^post20, i2^0'=i2^post20, r^0'=r^post20, (i2^0-i2^post20 == 0 /\ i^0-i^post20 == 0 /\ -r^post20+r^0 == 0 /\ __const_100^0-__const_100^post20 == 0), cost: 1 New rule: l15 -> l13 : TRUE, cost: 1 Applied preprocessing Original rule: l15 -> l14 : __const_100^0'=__const_100^post21, i^0'=i^post21, i2^0'=i2^post21, r^0'=r^post21, (-i2^post21+i2^0 == 0 /\ __const_100^0-__const_100^post21 == 0 /\ -r^post21+r^0 == 0 /\ -i^post21+i^0 == 0), cost: 1 New rule: l15 -> l14 : TRUE, cost: 1 Applied preprocessing Original rule: l16 -> l15 : __const_100^0'=__const_100^post22, i^0'=i^post22, i2^0'=i2^post22, r^0'=r^post22, (__const_100^0-__const_100^post22 == 0 /\ i^0-i^post22 == 0 /\ -r^post22+r^0 == 0 /\ -i2^post22+i2^0 == 0), cost: 1 New rule: l16 -> l15 : TRUE, cost: 1 Applied preprocessing Original rule: l2 -> l16 : __const_100^0'=__const_100^post23, i^0'=i^post23, i2^0'=i2^post23, r^0'=r^post23, (i^0-i^post23 == 0 /\ r^0-r^post23 == 0 /\ __const_100^0-__const_100^post23 == 0 /\ -i2^post23+i2^0 == 0), cost: 1 New rule: l2 -> l16 : TRUE, cost: 1 Applied preprocessing Original rule: l2 -> l12 : __const_100^0'=__const_100^post24, i^0'=i^post24, i2^0'=i2^post24, r^0'=r^post24, (__const_100^0-__const_100^post24 == 0 /\ i2^0-i2^post24 == 0 /\ -r^post24+r^0 == 0 /\ i^0-i^post24 == 0), cost: 1 New rule: l2 -> l12 : TRUE, cost: 1 Applied preprocessing Original rule: l2 -> l16 : __const_100^0'=__const_100^post25, i^0'=i^post25, i2^0'=i2^post25, r^0'=r^post25, (__const_100^0-__const_100^post25 == 0 /\ -r^post25+r^0 == 0 /\ -i^post25+i^0 == 0 /\ -i2^post25+i2^0 == 0), cost: 1 New rule: l2 -> l16 : TRUE, cost: 1 Applied preprocessing Original rule: l17 -> l6 : __const_100^0'=__const_100^post26, i^0'=i^post26, i2^0'=i2^post26, r^0'=r^post26, (-r^post26+r^0 == 0 /\ i^10 == 0 /\ i2^0-i2^post26 == 0 /\ __const_100^0-__const_100^post26 == 0 /\ i^post26 == 0), cost: 1 New rule: l17 -> l6 : i^0'=0, TRUE, cost: 1 Applied preprocessing Original rule: l18 -> l17 : __const_100^0'=__const_100^post27, i^0'=i^post27, i2^0'=i2^post27, r^0'=r^post27, (-r^post27+r^0 == 0 /\ __const_100^0-__const_100^post27 == 0 /\ -i^post27+i^0 == 0 /\ -i2^post27+i2^0 == 0), cost: 1 New rule: l18 -> l17 : TRUE, cost: 1 Applied deletion Removed the following rules: 34 38 46 50 Simplified rules Start location: l18 28: l0 -> l1 : i^0'=0, __const_100^0-i^0 <= 0, cost: 1 29: l0 -> l2 : i2^0'=i^0, 1-__const_100^0+i^0 <= 0, cost: 1 43: l1 -> l10 : TRUE, cost: 1 51: l2 -> l12 : TRUE, cost: 1 52: l2 -> l16 : TRUE, cost: 1 30: l3 -> l1 : i^0'=1+i^0, TRUE, cost: 1 31: l4 -> l5 : TRUE, cost: 1 32: l5 -> l3 : TRUE, cost: 1 33: l6 -> l0 : TRUE, cost: 1 35: l7 -> l4 : TRUE, cost: 1 36: l7 -> l5 : TRUE, cost: 1 37: l8 -> l7 : r^0'=r^post9, 0 == 0, cost: 1 39: l9 -> l3 : TRUE, cost: 1 40: l9 -> l8 : TRUE, cost: 1 41: l10 -> l9 : 1-__const_100^0+i^0 <= 0, cost: 1 42: l12 -> l6 : i^0'=1+i^0, TRUE, cost: 1 44: l13 -> l14 : TRUE, cost: 1 45: l14 -> l12 : TRUE, cost: 1 47: l15 -> l13 : TRUE, cost: 1 48: l15 -> l14 : TRUE, cost: 1 49: l16 -> l15 : TRUE, cost: 1 53: l17 -> l6 : i^0'=0, TRUE, cost: 1 54: l18 -> l17 : TRUE, cost: 1 Eliminating location l17 by chaining: Applied chaining First rule: l18 -> l17 : TRUE, cost: 1 Second rule: l17 -> l6 : i^0'=0, TRUE, cost: 1 New rule: l18 -> l6 : i^0'=0, TRUE, cost: 2 Applied deletion Removed the following rules: 53 54 Eliminating location l10 by chaining: Applied chaining First rule: l1 -> l10 : TRUE, cost: 1 Second rule: l10 -> l9 : 1-__const_100^0+i^0 <= 0, cost: 1 New rule: l1 -> l9 : 1-__const_100^0+i^0 <= 0, cost: 2 Applied deletion Removed the following rules: 41 43 Eliminating location l8 by chaining: Applied chaining First rule: l9 -> l8 : TRUE, cost: 1 Second rule: l8 -> l7 : r^0'=r^post9, 0 == 0, cost: 1 New rule: l9 -> l7 : r^0'=r^post9, 0 == 0, cost: 2 Applied deletion Removed the following rules: 37 40 Eliminating location l4 by chaining: Applied chaining First rule: l7 -> l4 : TRUE, cost: 1 Second rule: l4 -> l5 : TRUE, cost: 1 New rule: l7 -> l5 : TRUE, cost: 2 Applied deletion Removed the following rules: 31 35 Eliminating location l16 by chaining: Applied chaining First rule: l2 -> l16 : TRUE, cost: 1 Second rule: l16 -> l15 : TRUE, cost: 1 New rule: l2 -> l15 : TRUE, cost: 2 Applied deletion Removed the following rules: 49 52 Eliminating location l13 by chaining: Applied chaining First rule: l15 -> l13 : TRUE, cost: 1 Second rule: l13 -> l14 : TRUE, cost: 1 New rule: l15 -> l14 : TRUE, cost: 2 Applied deletion Removed the following rules: 44 47 Eliminated locations on linear paths Start location: l18 28: l0 -> l1 : i^0'=0, __const_100^0-i^0 <= 0, cost: 1 29: l0 -> l2 : i2^0'=i^0, 1-__const_100^0+i^0 <= 0, cost: 1 56: l1 -> l9 : 1-__const_100^0+i^0 <= 0, cost: 2 51: l2 -> l12 : TRUE, cost: 1 59: l2 -> l15 : TRUE, cost: 2 30: l3 -> l1 : i^0'=1+i^0, TRUE, cost: 1 32: l5 -> l3 : TRUE, cost: 1 33: l6 -> l0 : TRUE, cost: 1 36: l7 -> l5 : TRUE, cost: 1 58: l7 -> l5 : TRUE, cost: 2 39: l9 -> l3 : TRUE, cost: 1 57: l9 -> l7 : r^0'=r^post9, 0 == 0, cost: 2 42: l12 -> l6 : i^0'=1+i^0, TRUE, cost: 1 45: l14 -> l12 : TRUE, cost: 1 48: l15 -> l14 : TRUE, cost: 1 60: l15 -> l14 : TRUE, cost: 2 55: l18 -> l6 : i^0'=0, TRUE, cost: 2 Eliminating location l0 by chaining: Applied chaining First rule: l6 -> l0 : TRUE, cost: 1 Second rule: l0 -> l1 : i^0'=0, __const_100^0-i^0 <= 0, cost: 1 New rule: l6 -> l1 : i^0'=0, __const_100^0-i^0 <= 0, cost: 2 Applied chaining First rule: l6 -> l0 : TRUE, cost: 1 Second rule: l0 -> l2 : i2^0'=i^0, 1-__const_100^0+i^0 <= 0, cost: 1 New rule: l6 -> l2 : i2^0'=i^0, 1-__const_100^0+i^0 <= 0, cost: 2 Applied deletion Removed the following rules: 28 29 33 Eliminating location l9 by chaining: Applied chaining First rule: l1 -> l9 : 1-__const_100^0+i^0 <= 0, cost: 2 Second rule: l9 -> l3 : TRUE, cost: 1 New rule: l1 -> l3 : 1-__const_100^0+i^0 <= 0, cost: 3 Applied chaining First rule: l1 -> l9 : 1-__const_100^0+i^0 <= 0, cost: 2 Second rule: l9 -> l7 : r^0'=r^post9, 0 == 0, cost: 2 New rule: l1 -> l7 : r^0'=r^post9, (0 == 0 /\ 1-__const_100^0+i^0 <= 0), cost: 4 Applied simplification Original rule: l1 -> l7 : r^0'=r^post9, (0 == 0 /\ 1-__const_100^0+i^0 <= 0), cost: 4 New rule: l1 -> l7 : r^0'=r^post9, 1-__const_100^0+i^0 <= 0, cost: 4 Applied deletion Removed the following rules: 39 56 57 Eliminating location l5 by chaining: Applied chaining First rule: l7 -> l5 : TRUE, cost: 1 Second rule: l5 -> l3 : TRUE, cost: 1 New rule: l7 -> l3 : TRUE, cost: 2 Applied chaining First rule: l7 -> l5 : TRUE, cost: 2 Second rule: l5 -> l3 : TRUE, cost: 1 New rule: l7 -> l3 : TRUE, cost: 3 Applied deletion Removed the following rules: 32 36 58 Eliminating location l15 by chaining: Applied chaining First rule: l2 -> l15 : TRUE, cost: 2 Second rule: l15 -> l14 : TRUE, cost: 1 New rule: l2 -> l14 : TRUE, cost: 3 Applied chaining First rule: l2 -> l15 : TRUE, cost: 2 Second rule: l15 -> l14 : TRUE, cost: 2 New rule: l2 -> l14 : TRUE, cost: 4 Applied deletion Removed the following rules: 48 59 60 Eliminated locations on tree-shaped paths Start location: l18 63: l1 -> l3 : 1-__const_100^0+i^0 <= 0, cost: 3 64: l1 -> l7 : r^0'=r^post9, 1-__const_100^0+i^0 <= 0, cost: 4 51: l2 -> l12 : TRUE, cost: 1 67: l2 -> l14 : TRUE, cost: 3 68: l2 -> l14 : TRUE, cost: 4 30: l3 -> l1 : i^0'=1+i^0, TRUE, cost: 1 61: l6 -> l1 : i^0'=0, __const_100^0-i^0 <= 0, cost: 2 62: l6 -> l2 : i2^0'=i^0, 1-__const_100^0+i^0 <= 0, cost: 2 65: l7 -> l3 : TRUE, cost: 2 66: l7 -> l3 : TRUE, cost: 3 42: l12 -> l6 : i^0'=1+i^0, TRUE, cost: 1 45: l14 -> l12 : TRUE, cost: 1 55: l18 -> l6 : i^0'=0, TRUE, cost: 2 Applied merging first rule: l2 -> l14 : TRUE, cost: 3 second rule: l2 -> l14 : TRUE, cost: 4 new rule: l2 -> l14 : TRUE, cost: 3 Merged rules Start location: l18 63: l1 -> l3 : 1-__const_100^0+i^0 <= 0, cost: 3 64: l1 -> l7 : r^0'=r^post9, 1-__const_100^0+i^0 <= 0, cost: 4 51: l2 -> l12 : TRUE, cost: 1 69: l2 -> l14 : TRUE, cost: 3 30: l3 -> l1 : i^0'=1+i^0, TRUE, cost: 1 61: l6 -> l1 : i^0'=0, __const_100^0-i^0 <= 0, cost: 2 62: l6 -> l2 : i2^0'=i^0, 1-__const_100^0+i^0 <= 0, cost: 2 65: l7 -> l3 : TRUE, cost: 2 66: l7 -> l3 : TRUE, cost: 3 42: l12 -> l6 : i^0'=1+i^0, TRUE, cost: 1 45: l14 -> l12 : TRUE, cost: 1 55: l18 -> l6 : i^0'=0, TRUE, cost: 2 Eliminating location l14 by chaining: Applied chaining First rule: l2 -> l14 : TRUE, cost: 3 Second rule: l14 -> l12 : TRUE, cost: 1 New rule: l2 -> l12 : TRUE, cost: 4 Applied deletion Removed the following rules: 45 69 Eliminated locations on linear paths Start location: l18 63: l1 -> l3 : 1-__const_100^0+i^0 <= 0, cost: 3 64: l1 -> l7 : r^0'=r^post9, 1-__const_100^0+i^0 <= 0, cost: 4 51: l2 -> l12 : TRUE, cost: 1 70: l2 -> l12 : TRUE, cost: 4 30: l3 -> l1 : i^0'=1+i^0, TRUE, cost: 1 61: l6 -> l1 : i^0'=0, __const_100^0-i^0 <= 0, cost: 2 62: l6 -> l2 : i2^0'=i^0, 1-__const_100^0+i^0 <= 0, cost: 2 65: l7 -> l3 : TRUE, cost: 2 66: l7 -> l3 : TRUE, cost: 3 42: l12 -> l6 : i^0'=1+i^0, TRUE, cost: 1 55: l18 -> l6 : i^0'=0, TRUE, cost: 2 Eliminating location l2 by chaining: Applied chaining First rule: l6 -> l2 : i2^0'=i^0, 1-__const_100^0+i^0 <= 0, cost: 2 Second rule: l2 -> l12 : TRUE, cost: 1 New rule: l6 -> l12 : i2^0'=i^0, 1-__const_100^0+i^0 <= 0, cost: 3 Applied chaining First rule: l6 -> l2 : i2^0'=i^0, 1-__const_100^0+i^0 <= 0, cost: 2 Second rule: l2 -> l12 : TRUE, cost: 4 New rule: l6 -> l12 : i2^0'=i^0, 1-__const_100^0+i^0 <= 0, cost: 6 Applied deletion Removed the following rules: 51 62 70 Eliminating location l7 by chaining: Applied chaining First rule: l1 -> l7 : r^0'=r^post9, 1-__const_100^0+i^0 <= 0, cost: 4 Second rule: l7 -> l3 : TRUE, cost: 2 New rule: l1 -> l3 : r^0'=r^post9, 1-__const_100^0+i^0 <= 0, cost: 6 Applied chaining First rule: l1 -> l7 : r^0'=r^post9, 1-__const_100^0+i^0 <= 0, cost: 4 Second rule: l7 -> l3 : TRUE, cost: 3 New rule: l1 -> l3 : r^0'=r^post9, 1-__const_100^0+i^0 <= 0, cost: 7 Applied deletion Removed the following rules: 64 65 66 Eliminated locations on tree-shaped paths Start location: l18 63: l1 -> l3 : 1-__const_100^0+i^0 <= 0, cost: 3 73: l1 -> l3 : r^0'=r^post9, 1-__const_100^0+i^0 <= 0, cost: 6 74: l1 -> l3 : r^0'=r^post9, 1-__const_100^0+i^0 <= 0, cost: 7 30: l3 -> l1 : i^0'=1+i^0, TRUE, cost: 1 61: l6 -> l1 : i^0'=0, __const_100^0-i^0 <= 0, cost: 2 71: l6 -> l12 : i2^0'=i^0, 1-__const_100^0+i^0 <= 0, cost: 3 72: l6 -> l12 : i2^0'=i^0, 1-__const_100^0+i^0 <= 0, cost: 6 42: l12 -> l6 : i^0'=1+i^0, TRUE, cost: 1 55: l18 -> l6 : i^0'=0, TRUE, cost: 2 Applied merging first rule: l1 -> l3 : r^0'=r^post9, 1-__const_100^0+i^0 <= 0, cost: 6 second rule: l1 -> l3 : r^0'=r^post9, 1-__const_100^0+i^0 <= 0, cost: 7 new rule: l1 -> l3 : r^0'=r^post9, 1-__const_100^0+i^0 <= 0, cost: 6 Applied merging first rule: l6 -> l12 : i2^0'=i^0, 1-__const_100^0+i^0 <= 0, cost: 3 second rule: l6 -> l12 : i2^0'=i^0, 1-__const_100^0+i^0 <= 0, cost: 6 new rule: l6 -> l12 : i2^0'=i^0, 1-__const_100^0+i^0 <= 0, cost: 3 Merged rules Start location: l18 63: l1 -> l3 : 1-__const_100^0+i^0 <= 0, cost: 3 75: l1 -> l3 : r^0'=r^post9, 1-__const_100^0+i^0 <= 0, cost: 6 30: l3 -> l1 : i^0'=1+i^0, TRUE, cost: 1 61: l6 -> l1 : i^0'=0, __const_100^0-i^0 <= 0, cost: 2 76: l6 -> l12 : i2^0'=i^0, 1-__const_100^0+i^0 <= 0, cost: 3 42: l12 -> l6 : i^0'=1+i^0, TRUE, cost: 1 55: l18 -> l6 : i^0'=0, TRUE, cost: 2 Eliminating location l12 by chaining: Applied chaining First rule: l6 -> l12 : i2^0'=i^0, 1-__const_100^0+i^0 <= 0, cost: 3 Second rule: l12 -> l6 : i^0'=1+i^0, TRUE, cost: 1 New rule: l6 -> l6 : i^0'=1+i^0, i2^0'=i^0, 1-__const_100^0+i^0 <= 0, cost: 4 Applied deletion Removed the following rules: 42 76 Eliminated locations on linear paths Start location: l18 63: l1 -> l3 : 1-__const_100^0+i^0 <= 0, cost: 3 75: l1 -> l3 : r^0'=r^post9, 1-__const_100^0+i^0 <= 0, cost: 6 30: l3 -> l1 : i^0'=1+i^0, TRUE, cost: 1 61: l6 -> l1 : i^0'=0, __const_100^0-i^0 <= 0, cost: 2 77: l6 -> l6 : i^0'=1+i^0, i2^0'=i^0, 1-__const_100^0+i^0 <= 0, cost: 4 55: l18 -> l6 : i^0'=0, TRUE, cost: 2 Applied acceleration Original rule: l6 -> l6 : i^0'=1+i^0, i2^0'=i^0, 1-__const_100^0+i^0 <= 0, cost: 4 New rule: l6 -> l6 : i^0'=n0+i^0, i2^0'=-1+n0+i^0, (-1+n0 >= 0 /\ __const_100^0-n0-i^0 >= 0), cost: 4*n0 Applied instantiation Original rule: l6 -> l6 : i^0'=n0+i^0, i2^0'=-1+n0+i^0, (-1+n0 >= 0 /\ __const_100^0-n0-i^0 >= 0), cost: 4*n0 New rule: l6 -> l6 : i^0'=__const_100^0, i2^0'=-1+__const_100^0, (0 >= 0 /\ -1+__const_100^0-i^0 >= 0), cost: 4*__const_100^0-4*i^0 Applied simplification Original rule: l6 -> l6 : i^0'=__const_100^0, i2^0'=-1+__const_100^0, (0 >= 0 /\ -1+__const_100^0-i^0 >= 0), cost: 4*__const_100^0-4*i^0 New rule: l6 -> l6 : i^0'=__const_100^0, i2^0'=-1+__const_100^0, -1+__const_100^0-i^0 >= 0, cost: 4*__const_100^0-4*i^0 Applied deletion Removed the following rules: 77 Accelerated simple loops Start location: l18 63: l1 -> l3 : 1-__const_100^0+i^0 <= 0, cost: 3 75: l1 -> l3 : r^0'=r^post9, 1-__const_100^0+i^0 <= 0, cost: 6 30: l3 -> l1 : i^0'=1+i^0, TRUE, cost: 1 61: l6 -> l1 : i^0'=0, __const_100^0-i^0 <= 0, cost: 2 79: l6 -> l6 : i^0'=__const_100^0, i2^0'=-1+__const_100^0, -1+__const_100^0-i^0 >= 0, cost: 4*__const_100^0-4*i^0 55: l18 -> l6 : i^0'=0, TRUE, cost: 2 Applied chaining First rule: l18 -> l6 : i^0'=0, TRUE, cost: 2 Second rule: l6 -> l6 : i^0'=__const_100^0, i2^0'=-1+__const_100^0, -1+__const_100^0-i^0 >= 0, cost: 4*__const_100^0-4*i^0 New rule: l18 -> l6 : i^0'=__const_100^0, i2^0'=-1+__const_100^0, -1+__const_100^0 >= 0, cost: 2+4*__const_100^0 Applied deletion Removed the following rules: 79 Chained accelerated rules with incoming rules Start location: l18 63: l1 -> l3 : 1-__const_100^0+i^0 <= 0, cost: 3 75: l1 -> l3 : r^0'=r^post9, 1-__const_100^0+i^0 <= 0, cost: 6 30: l3 -> l1 : i^0'=1+i^0, TRUE, cost: 1 61: l6 -> l1 : i^0'=0, __const_100^0-i^0 <= 0, cost: 2 55: l18 -> l6 : i^0'=0, TRUE, cost: 2 80: l18 -> l6 : i^0'=__const_100^0, i2^0'=-1+__const_100^0, -1+__const_100^0 >= 0, cost: 2+4*__const_100^0 Eliminating location l6 by chaining: Applied chaining First rule: l18 -> l6 : i^0'=0, TRUE, cost: 2 Second rule: l6 -> l1 : i^0'=0, __const_100^0-i^0 <= 0, cost: 2 New rule: l18 -> l1 : i^0'=0, __const_100^0 <= 0, cost: 4 Applied chaining First rule: l18 -> l6 : i^0'=__const_100^0, i2^0'=-1+__const_100^0, -1+__const_100^0 >= 0, cost: 2+4*__const_100^0 Second rule: l6 -> l1 : i^0'=0, __const_100^0-i^0 <= 0, cost: 2 New rule: l18 -> l1 : i^0'=0, i2^0'=-1+__const_100^0, (0 <= 0 /\ -1+__const_100^0 >= 0), cost: 4+4*__const_100^0 Applied simplification Original rule: l18 -> l1 : i^0'=0, i2^0'=-1+__const_100^0, (0 <= 0 /\ -1+__const_100^0 >= 0), cost: 4+4*__const_100^0 New rule: l18 -> l1 : i^0'=0, i2^0'=-1+__const_100^0, -1+__const_100^0 >= 0, cost: 4+4*__const_100^0 Applied deletion Removed the following rules: 55 61 80 Eliminating location l3 by chaining: Applied chaining First rule: l1 -> l3 : 1-__const_100^0+i^0 <= 0, cost: 3 Second rule: l3 -> l1 : i^0'=1+i^0, TRUE, cost: 1 New rule: l1 -> l1 : i^0'=1+i^0, 1-__const_100^0+i^0 <= 0, cost: 4 Applied chaining First rule: l1 -> l3 : r^0'=r^post9, 1-__const_100^0+i^0 <= 0, cost: 6 Second rule: l3 -> l1 : i^0'=1+i^0, TRUE, cost: 1 New rule: l1 -> l1 : i^0'=1+i^0, r^0'=r^post9, 1-__const_100^0+i^0 <= 0, cost: 7 Applied deletion Removed the following rules: 30 63 75 Eliminated locations on tree-shaped paths Start location: l18 83: l1 -> l1 : i^0'=1+i^0, 1-__const_100^0+i^0 <= 0, cost: 4 84: l1 -> l1 : i^0'=1+i^0, r^0'=r^post9, 1-__const_100^0+i^0 <= 0, cost: 7 81: l18 -> l1 : i^0'=0, __const_100^0 <= 0, cost: 4 82: l18 -> l1 : i^0'=0, i2^0'=-1+__const_100^0, -1+__const_100^0 >= 0, cost: 4+4*__const_100^0 Applied acceleration Original rule: l1 -> l1 : i^0'=1+i^0, 1-__const_100^0+i^0 <= 0, cost: 4 New rule: l1 -> l1 : i^0'=i^0+n4, (__const_100^0-i^0-n4 >= 0 /\ n4 >= 0), cost: 4*n4 Applied instantiation Original rule: l1 -> l1 : i^0'=i^0+n4, (__const_100^0-i^0-n4 >= 0 /\ n4 >= 0), cost: 4*n4 New rule: l1 -> l1 : i^0'=__const_100^0, (0 >= 0 /\ __const_100^0-i^0 >= 0), cost: 4*__const_100^0-4*i^0 Applied acceleration Original rule: l1 -> l1 : i^0'=1+i^0, r^0'=r^post9, 1-__const_100^0+i^0 <= 0, cost: 7 New rule: l1 -> l1 : i^0'=i^0+n6, r^0'=r^post9, (__const_100^0-i^0-n6 >= 0 /\ -1+n6 >= 0), cost: 7*n6 Applied instantiation Original rule: l1 -> l1 : i^0'=i^0+n6, r^0'=r^post9, (__const_100^0-i^0-n6 >= 0 /\ -1+n6 >= 0), cost: 7*n6 New rule: l1 -> l1 : i^0'=__const_100^0, r^0'=r^post9, (0 >= 0 /\ -1+__const_100^0-i^0 >= 0), cost: 7*__const_100^0-7*i^0 Applied simplification Original rule: l1 -> l1 : i^0'=__const_100^0, (0 >= 0 /\ __const_100^0-i^0 >= 0), cost: 4*__const_100^0-4*i^0 New rule: l1 -> l1 : i^0'=__const_100^0, __const_100^0-i^0 >= 0, cost: 4*__const_100^0-4*i^0 Applied simplification Original rule: l1 -> l1 : i^0'=__const_100^0, r^0'=r^post9, (0 >= 0 /\ -1+__const_100^0-i^0 >= 0), cost: 7*__const_100^0-7*i^0 New rule: l1 -> l1 : i^0'=__const_100^0, r^0'=r^post9, -1+__const_100^0-i^0 >= 0, cost: 7*__const_100^0-7*i^0 Applied deletion Removed the following rules: 83 84 Accelerated simple loops Start location: l18 87: l1 -> l1 : i^0'=__const_100^0, __const_100^0-i^0 >= 0, cost: 4*__const_100^0-4*i^0 88: l1 -> l1 : i^0'=__const_100^0, r^0'=r^post9, -1+__const_100^0-i^0 >= 0, cost: 7*__const_100^0-7*i^0 81: l18 -> l1 : i^0'=0, __const_100^0 <= 0, cost: 4 82: l18 -> l1 : i^0'=0, i2^0'=-1+__const_100^0, -1+__const_100^0 >= 0, cost: 4+4*__const_100^0 Applied chaining First rule: l18 -> l1 : i^0'=0, __const_100^0 <= 0, cost: 4 Second rule: l1 -> l1 : i^0'=__const_100^0, __const_100^0-i^0 >= 0, cost: 4*__const_100^0-4*i^0 New rule: l18 -> l1 : i^0'=__const_100^0, __const_100^0 == 0, cost: 4+4*__const_100^0 Applied chaining First rule: l18 -> l1 : i^0'=0, i2^0'=-1+__const_100^0, -1+__const_100^0 >= 0, cost: 4+4*__const_100^0 Second rule: l1 -> l1 : i^0'=__const_100^0, __const_100^0-i^0 >= 0, cost: 4*__const_100^0-4*i^0 New rule: l18 -> l1 : i^0'=__const_100^0, i2^0'=-1+__const_100^0, -1+__const_100^0 >= 0, cost: 4+8*__const_100^0 Applied chaining First rule: l18 -> l1 : i^0'=0, i2^0'=-1+__const_100^0, -1+__const_100^0 >= 0, cost: 4+4*__const_100^0 Second rule: l1 -> l1 : i^0'=__const_100^0, r^0'=r^post9, -1+__const_100^0-i^0 >= 0, cost: 7*__const_100^0-7*i^0 New rule: l18 -> l1 : i^0'=__const_100^0, i2^0'=-1+__const_100^0, r^0'=r^post9, -1+__const_100^0 >= 0, cost: 4+11*__const_100^0 Applied deletion Removed the following rules: 87 88 Chained accelerated rules with incoming rules Start location: l18 81: l18 -> l1 : i^0'=0, __const_100^0 <= 0, cost: 4 82: l18 -> l1 : i^0'=0, i2^0'=-1+__const_100^0, -1+__const_100^0 >= 0, cost: 4+4*__const_100^0 89: l18 -> l1 : i^0'=__const_100^0, __const_100^0 == 0, cost: 4+4*__const_100^0 90: l18 -> l1 : i^0'=__const_100^0, i2^0'=-1+__const_100^0, -1+__const_100^0 >= 0, cost: 4+8*__const_100^0 91: l18 -> l1 : i^0'=__const_100^0, i2^0'=-1+__const_100^0, r^0'=r^post9, -1+__const_100^0 >= 0, cost: 4+11*__const_100^0 Removed unreachable locations and irrelevant leafs Start location: l18 Computing asymptotic complexity Proved the following lower bound Complexity: Unknown Cpx degree: ? Solved cost: 0 Rule cost: 0