WORST_CASE(Omega(0),?)

Initial ITS
Start location: l12
   0: l0 -> l1 : __const_5^0'=__const_5^post0, j5^0'=j5^post0, i4^0'=i4^post0, k6^0'=k6^post0, (-k6^post0+k6^0 == 0 /\ i4^0-i4^post0 == 0 /\ __const_5^0-__const_5^post0 == 0 /\ j5^0-j5^post0 == 0), cost: 1
  13: l1 -> l4 : __const_5^0'=__const_5^post13, j5^0'=j5^post13, i4^0'=i4^post13, k6^0'=k6^post13, (-1+i4^post13 == 0 /\ -k6^post13+k6^0 == 0 /\ __const_5^0-__const_5^post13 == 0 /\ 1+__const_5^0-i4^0 <= 0 /\ j5^0-j5^post13 == 0), cost: 1
  14: l1 -> l2 : __const_5^0'=__const_5^post14, j5^0'=j5^post14, i4^0'=i4^post14, k6^0'=k6^post14, (-1+j5^post14 == 0 /\ -k6^post14+k6^0 == 0 /\ __const_5^0-__const_5^post14 == 0 /\ -i4^post14+i4^0 == 0 /\ -__const_5^0+i4^0 <= 0), cost: 1
   1: l2 -> l3 : __const_5^0'=__const_5^post1, j5^0'=j5^post1, i4^0'=i4^post1, k6^0'=k6^post1, (-i4^post1+i4^0 == 0 /\ __const_5^0-__const_5^post1 == 0 /\ -j5^post1+j5^0 == 0 /\ -k6^post1+k6^0 == 0), cost: 1
  11: l3 -> l0 : __const_5^0'=__const_5^post11, j5^0'=j5^post11, i4^0'=i4^post11, k6^0'=k6^post11, (-k6^post11+k6^0 == 0 /\ 1+__const_5^0-j5^0 <= 0 /\ -1-i4^0+i4^post11 == 0 /\ __const_5^0-__const_5^post11 == 0 /\ j5^0-j5^post11 == 0), cost: 1
  12: l3 -> l2 : __const_5^0'=__const_5^post12, j5^0'=j5^post12, i4^0'=i4^post12, k6^0'=k6^post12, (i4^0-i4^post12 == 0 /\ __const_5^0-__const_5^post12 == 0 /\ -k6^post12+k6^0 == 0 /\ -__const_5^0+j5^0 <= 0 /\ -1-j5^0+j5^post12 == 0), cost: 1
   2: l4 -> l5 : __const_5^0'=__const_5^post2, j5^0'=j5^post2, i4^0'=i4^post2, k6^0'=k6^post2, (-i4^post2+i4^0 == 0 /\ j5^0-j5^post2 == 0 /\ -k6^post2+k6^0 == 0 /\ __const_5^0-__const_5^post2 == 0), cost: 1
   8: l5 -> l10 : __const_5^0'=__const_5^post8, j5^0'=j5^post8, i4^0'=i4^post8, k6^0'=k6^post8, (-k6^post8+k6^0 == 0 /\ -i4^post8+i4^0 == 0 /\ __const_5^0-__const_5^post8 == 0 /\ 1+__const_5^0-i4^0 <= 0 /\ j5^0-j5^post8 == 0), cost: 1
   9: l5 -> l6 : __const_5^0'=__const_5^post9, j5^0'=j5^post9, i4^0'=i4^post9, k6^0'=k6^post9, (__const_5^0-__const_5^post9 == 0 /\ -1+j5^post9 == 0 /\ -k6^post9+k6^0 == 0 /\ -__const_5^0+i4^0 <= 0 /\ -i4^post9+i4^0 == 0), cost: 1
   3: l6 -> l7 : __const_5^0'=__const_5^post3, j5^0'=j5^post3, i4^0'=i4^post3, k6^0'=k6^post3, (__const_5^0-__const_5^post3 == 0 /\ j5^0-j5^post3 == 0 /\ i4^0-i4^post3 == 0 /\ -k6^post3+k6^0 == 0), cost: 1
   6: l7 -> l4 : __const_5^0'=__const_5^post6, j5^0'=j5^post6, i4^0'=i4^post6, k6^0'=k6^post6, (j5^0-j5^post6 == 0 /\ k6^0-k6^post6 == 0 /\ -1+i4^post6-i4^0 == 0 /\ __const_5^0-__const_5^post6 == 0 /\ 1+__const_5^0-j5^0 <= 0), cost: 1
   7: l7 -> l9 : __const_5^0'=__const_5^post7, j5^0'=j5^post7, i4^0'=i4^post7, k6^0'=k6^post7, (-1+k6^post7 == 0 /\ __const_5^0-__const_5^post7 == 0 /\ i4^0-i4^post7 == 0 /\ j5^0-j5^post7 == 0 /\ -__const_5^0+j5^0 <= 0), cost: 1
   4: l8 -> l6 : __const_5^0'=__const_5^post4, j5^0'=j5^post4, i4^0'=i4^post4, k6^0'=k6^post4, (1+__const_5^0-k6^0 <= 0 /\ -1+j5^post4-j5^0 == 0 /\ __const_5^0-__const_5^post4 == 0 /\ -k6^post4+k6^0 == 0 /\ -i4^post4+i4^0 == 0), cost: 1
   5: l8 -> l9 : __const_5^0'=__const_5^post5, j5^0'=j5^post5, i4^0'=i4^post5, k6^0'=k6^post5, (__const_5^0-__const_5^post5 == 0 /\ -__const_5^0+k6^0 <= 0 /\ -1+k6^post5-k6^0 == 0 /\ j5^0-j5^post5 == 0 /\ -i4^post5+i4^0 == 0), cost: 1
  10: l9 -> l8 : __const_5^0'=__const_5^post10, j5^0'=j5^post10, i4^0'=i4^post10, k6^0'=k6^post10, (-k6^post10+k6^0 == 0 /\ __const_5^0-__const_5^post10 == 0 /\ -i4^post10+i4^0 == 0 /\ j5^0-j5^post10 == 0), cost: 1
  15: l11 -> l0 : __const_5^0'=__const_5^post15, j5^0'=j5^post15, i4^0'=i4^post15, k6^0'=k6^post15, (-k6^post15+k6^0 == 0 /\ -1+i4^post15 == 0 /\ j5^0-j5^post15 == 0 /\ __const_5^0-__const_5^post15 == 0), cost: 1
  16: l12 -> l11 : __const_5^0'=__const_5^post16, j5^0'=j5^post16, i4^0'=i4^post16, k6^0'=k6^post16, (-k6^post16+k6^0 == 0 /\ __const_5^0-__const_5^post16 == 0 /\ j5^0-j5^post16 == 0 /\ i4^0-i4^post16 == 0), cost: 1


Removed unreachable rules and leafs
Start location: l12
   0: l0 -> l1 : __const_5^0'=__const_5^post0, j5^0'=j5^post0, i4^0'=i4^post0, k6^0'=k6^post0, (-k6^post0+k6^0 == 0 /\ i4^0-i4^post0 == 0 /\ __const_5^0-__const_5^post0 == 0 /\ j5^0-j5^post0 == 0), cost: 1
  13: l1 -> l4 : __const_5^0'=__const_5^post13, j5^0'=j5^post13, i4^0'=i4^post13, k6^0'=k6^post13, (-1+i4^post13 == 0 /\ -k6^post13+k6^0 == 0 /\ __const_5^0-__const_5^post13 == 0 /\ 1+__const_5^0-i4^0 <= 0 /\ j5^0-j5^post13 == 0), cost: 1
  14: l1 -> l2 : __const_5^0'=__const_5^post14, j5^0'=j5^post14, i4^0'=i4^post14, k6^0'=k6^post14, (-1+j5^post14 == 0 /\ -k6^post14+k6^0 == 0 /\ __const_5^0-__const_5^post14 == 0 /\ -i4^post14+i4^0 == 0 /\ -__const_5^0+i4^0 <= 0), cost: 1
   1: l2 -> l3 : __const_5^0'=__const_5^post1, j5^0'=j5^post1, i4^0'=i4^post1, k6^0'=k6^post1, (-i4^post1+i4^0 == 0 /\ __const_5^0-__const_5^post1 == 0 /\ -j5^post1+j5^0 == 0 /\ -k6^post1+k6^0 == 0), cost: 1
  11: l3 -> l0 : __const_5^0'=__const_5^post11, j5^0'=j5^post11, i4^0'=i4^post11, k6^0'=k6^post11, (-k6^post11+k6^0 == 0 /\ 1+__const_5^0-j5^0 <= 0 /\ -1-i4^0+i4^post11 == 0 /\ __const_5^0-__const_5^post11 == 0 /\ j5^0-j5^post11 == 0), cost: 1
  12: l3 -> l2 : __const_5^0'=__const_5^post12, j5^0'=j5^post12, i4^0'=i4^post12, k6^0'=k6^post12, (i4^0-i4^post12 == 0 /\ __const_5^0-__const_5^post12 == 0 /\ -k6^post12+k6^0 == 0 /\ -__const_5^0+j5^0 <= 0 /\ -1-j5^0+j5^post12 == 0), cost: 1
   2: l4 -> l5 : __const_5^0'=__const_5^post2, j5^0'=j5^post2, i4^0'=i4^post2, k6^0'=k6^post2, (-i4^post2+i4^0 == 0 /\ j5^0-j5^post2 == 0 /\ -k6^post2+k6^0 == 0 /\ __const_5^0-__const_5^post2 == 0), cost: 1
   9: l5 -> l6 : __const_5^0'=__const_5^post9, j5^0'=j5^post9, i4^0'=i4^post9, k6^0'=k6^post9, (__const_5^0-__const_5^post9 == 0 /\ -1+j5^post9 == 0 /\ -k6^post9+k6^0 == 0 /\ -__const_5^0+i4^0 <= 0 /\ -i4^post9+i4^0 == 0), cost: 1
   3: l6 -> l7 : __const_5^0'=__const_5^post3, j5^0'=j5^post3, i4^0'=i4^post3, k6^0'=k6^post3, (__const_5^0-__const_5^post3 == 0 /\ j5^0-j5^post3 == 0 /\ i4^0-i4^post3 == 0 /\ -k6^post3+k6^0 == 0), cost: 1
   6: l7 -> l4 : __const_5^0'=__const_5^post6, j5^0'=j5^post6, i4^0'=i4^post6, k6^0'=k6^post6, (j5^0-j5^post6 == 0 /\ k6^0-k6^post6 == 0 /\ -1+i4^post6-i4^0 == 0 /\ __const_5^0-__const_5^post6 == 0 /\ 1+__const_5^0-j5^0 <= 0), cost: 1
   7: l7 -> l9 : __const_5^0'=__const_5^post7, j5^0'=j5^post7, i4^0'=i4^post7, k6^0'=k6^post7, (-1+k6^post7 == 0 /\ __const_5^0-__const_5^post7 == 0 /\ i4^0-i4^post7 == 0 /\ j5^0-j5^post7 == 0 /\ -__const_5^0+j5^0 <= 0), cost: 1
   4: l8 -> l6 : __const_5^0'=__const_5^post4, j5^0'=j5^post4, i4^0'=i4^post4, k6^0'=k6^post4, (1+__const_5^0-k6^0 <= 0 /\ -1+j5^post4-j5^0 == 0 /\ __const_5^0-__const_5^post4 == 0 /\ -k6^post4+k6^0 == 0 /\ -i4^post4+i4^0 == 0), cost: 1
   5: l8 -> l9 : __const_5^0'=__const_5^post5, j5^0'=j5^post5, i4^0'=i4^post5, k6^0'=k6^post5, (__const_5^0-__const_5^post5 == 0 /\ -__const_5^0+k6^0 <= 0 /\ -1+k6^post5-k6^0 == 0 /\ j5^0-j5^post5 == 0 /\ -i4^post5+i4^0 == 0), cost: 1
  10: l9 -> l8 : __const_5^0'=__const_5^post10, j5^0'=j5^post10, i4^0'=i4^post10, k6^0'=k6^post10, (-k6^post10+k6^0 == 0 /\ __const_5^0-__const_5^post10 == 0 /\ -i4^post10+i4^0 == 0 /\ j5^0-j5^post10 == 0), cost: 1
  15: l11 -> l0 : __const_5^0'=__const_5^post15, j5^0'=j5^post15, i4^0'=i4^post15, k6^0'=k6^post15, (-k6^post15+k6^0 == 0 /\ -1+i4^post15 == 0 /\ j5^0-j5^post15 == 0 /\ __const_5^0-__const_5^post15 == 0), cost: 1
  16: l12 -> l11 : __const_5^0'=__const_5^post16, j5^0'=j5^post16, i4^0'=i4^post16, k6^0'=k6^post16, (-k6^post16+k6^0 == 0 /\ __const_5^0-__const_5^post16 == 0 /\ j5^0-j5^post16 == 0 /\ i4^0-i4^post16 == 0), cost: 1


Applied preprocessing
Original rule:
l0 -> l1 : __const_5^0'=__const_5^post0, j5^0'=j5^post0, i4^0'=i4^post0, k6^0'=k6^post0, (-k6^post0+k6^0 == 0 /\ i4^0-i4^post0 == 0 /\ __const_5^0-__const_5^post0 == 0 /\ j5^0-j5^post0 == 0), cost: 1
New rule:
l0 -> l1 : TRUE, cost: 1

Applied preprocessing
Original rule:
l2 -> l3 : __const_5^0'=__const_5^post1, j5^0'=j5^post1, i4^0'=i4^post1, k6^0'=k6^post1, (-i4^post1+i4^0 == 0 /\ __const_5^0-__const_5^post1 == 0 /\ -j5^post1+j5^0 == 0 /\ -k6^post1+k6^0 == 0), cost: 1
New rule:
l2 -> l3 : TRUE, cost: 1

Applied preprocessing
Original rule:
l4 -> l5 : __const_5^0'=__const_5^post2, j5^0'=j5^post2, i4^0'=i4^post2, k6^0'=k6^post2, (-i4^post2+i4^0 == 0 /\ j5^0-j5^post2 == 0 /\ -k6^post2+k6^0 == 0 /\ __const_5^0-__const_5^post2 == 0), cost: 1
New rule:
l4 -> l5 : TRUE, cost: 1

Applied preprocessing
Original rule:
l6 -> l7 : __const_5^0'=__const_5^post3, j5^0'=j5^post3, i4^0'=i4^post3, k6^0'=k6^post3, (__const_5^0-__const_5^post3 == 0 /\ j5^0-j5^post3 == 0 /\ i4^0-i4^post3 == 0 /\ -k6^post3+k6^0 == 0), cost: 1
New rule:
l6 -> l7 : TRUE, cost: 1

Applied preprocessing
Original rule:
l8 -> l6 : __const_5^0'=__const_5^post4, j5^0'=j5^post4, i4^0'=i4^post4, k6^0'=k6^post4, (1+__const_5^0-k6^0 <= 0 /\ -1+j5^post4-j5^0 == 0 /\ __const_5^0-__const_5^post4 == 0 /\ -k6^post4+k6^0 == 0 /\ -i4^post4+i4^0 == 0), cost: 1
New rule:
l8 -> l6 : j5^0'=1+j5^0, 1+__const_5^0-k6^0 <= 0, cost: 1

Applied preprocessing
Original rule:
l8 -> l9 : __const_5^0'=__const_5^post5, j5^0'=j5^post5, i4^0'=i4^post5, k6^0'=k6^post5, (__const_5^0-__const_5^post5 == 0 /\ -__const_5^0+k6^0 <= 0 /\ -1+k6^post5-k6^0 == 0 /\ j5^0-j5^post5 == 0 /\ -i4^post5+i4^0 == 0), cost: 1
New rule:
l8 -> l9 : k6^0'=1+k6^0, -__const_5^0+k6^0 <= 0, cost: 1

Applied preprocessing
Original rule:
l7 -> l4 : __const_5^0'=__const_5^post6, j5^0'=j5^post6, i4^0'=i4^post6, k6^0'=k6^post6, (j5^0-j5^post6 == 0 /\ k6^0-k6^post6 == 0 /\ -1+i4^post6-i4^0 == 0 /\ __const_5^0-__const_5^post6 == 0 /\ 1+__const_5^0-j5^0 <= 0), cost: 1
New rule:
l7 -> l4 : i4^0'=1+i4^0, 1+__const_5^0-j5^0 <= 0, cost: 1

Applied preprocessing
Original rule:
l7 -> l9 : __const_5^0'=__const_5^post7, j5^0'=j5^post7, i4^0'=i4^post7, k6^0'=k6^post7, (-1+k6^post7 == 0 /\ __const_5^0-__const_5^post7 == 0 /\ i4^0-i4^post7 == 0 /\ j5^0-j5^post7 == 0 /\ -__const_5^0+j5^0 <= 0), cost: 1
New rule:
l7 -> l9 : k6^0'=1, -__const_5^0+j5^0 <= 0, cost: 1

Applied preprocessing
Original rule:
l5 -> l6 : __const_5^0'=__const_5^post9, j5^0'=j5^post9, i4^0'=i4^post9, k6^0'=k6^post9, (__const_5^0-__const_5^post9 == 0 /\ -1+j5^post9 == 0 /\ -k6^post9+k6^0 == 0 /\ -__const_5^0+i4^0 <= 0 /\ -i4^post9+i4^0 == 0), cost: 1
New rule:
l5 -> l6 : j5^0'=1, -__const_5^0+i4^0 <= 0, cost: 1

Applied preprocessing
Original rule:
l9 -> l8 : __const_5^0'=__const_5^post10, j5^0'=j5^post10, i4^0'=i4^post10, k6^0'=k6^post10, (-k6^post10+k6^0 == 0 /\ __const_5^0-__const_5^post10 == 0 /\ -i4^post10+i4^0 == 0 /\ j5^0-j5^post10 == 0), cost: 1
New rule:
l9 -> l8 : TRUE, cost: 1

Applied preprocessing
Original rule:
l3 -> l0 : __const_5^0'=__const_5^post11, j5^0'=j5^post11, i4^0'=i4^post11, k6^0'=k6^post11, (-k6^post11+k6^0 == 0 /\ 1+__const_5^0-j5^0 <= 0 /\ -1-i4^0+i4^post11 == 0 /\ __const_5^0-__const_5^post11 == 0 /\ j5^0-j5^post11 == 0), cost: 1
New rule:
l3 -> l0 : i4^0'=1+i4^0, 1+__const_5^0-j5^0 <= 0, cost: 1

Applied preprocessing
Original rule:
l3 -> l2 : __const_5^0'=__const_5^post12, j5^0'=j5^post12, i4^0'=i4^post12, k6^0'=k6^post12, (i4^0-i4^post12 == 0 /\ __const_5^0-__const_5^post12 == 0 /\ -k6^post12+k6^0 == 0 /\ -__const_5^0+j5^0 <= 0 /\ -1-j5^0+j5^post12 == 0), cost: 1
New rule:
l3 -> l2 : j5^0'=1+j5^0, -__const_5^0+j5^0 <= 0, cost: 1

Applied preprocessing
Original rule:
l1 -> l4 : __const_5^0'=__const_5^post13, j5^0'=j5^post13, i4^0'=i4^post13, k6^0'=k6^post13, (-1+i4^post13 == 0 /\ -k6^post13+k6^0 == 0 /\ __const_5^0-__const_5^post13 == 0 /\ 1+__const_5^0-i4^0 <= 0 /\ j5^0-j5^post13 == 0), cost: 1
New rule:
l1 -> l4 : i4^0'=1, 1+__const_5^0-i4^0 <= 0, cost: 1

Applied preprocessing
Original rule:
l1 -> l2 : __const_5^0'=__const_5^post14, j5^0'=j5^post14, i4^0'=i4^post14, k6^0'=k6^post14, (-1+j5^post14 == 0 /\ -k6^post14+k6^0 == 0 /\ __const_5^0-__const_5^post14 == 0 /\ -i4^post14+i4^0 == 0 /\ -__const_5^0+i4^0 <= 0), cost: 1
New rule:
l1 -> l2 : j5^0'=1, -__const_5^0+i4^0 <= 0, cost: 1

Applied preprocessing
Original rule:
l11 -> l0 : __const_5^0'=__const_5^post15, j5^0'=j5^post15, i4^0'=i4^post15, k6^0'=k6^post15, (-k6^post15+k6^0 == 0 /\ -1+i4^post15 == 0 /\ j5^0-j5^post15 == 0 /\ __const_5^0-__const_5^post15 == 0), cost: 1
New rule:
l11 -> l0 : i4^0'=1, TRUE, cost: 1

Applied preprocessing
Original rule:
l12 -> l11 : __const_5^0'=__const_5^post16, j5^0'=j5^post16, i4^0'=i4^post16, k6^0'=k6^post16, (-k6^post16+k6^0 == 0 /\ __const_5^0-__const_5^post16 == 0 /\ j5^0-j5^post16 == 0 /\ i4^0-i4^post16 == 0), cost: 1
New rule:
l12 -> l11 : TRUE, cost: 1

Simplified rules
Start location: l12
  17: l0 -> l1 : TRUE, cost: 1
  29: l1 -> l4 : i4^0'=1, 1+__const_5^0-i4^0 <= 0, cost: 1
  30: l1 -> l2 : j5^0'=1, -__const_5^0+i4^0 <= 0, cost: 1
  18: l2 -> l3 : TRUE, cost: 1
  27: l3 -> l0 : i4^0'=1+i4^0, 1+__const_5^0-j5^0 <= 0, cost: 1
  28: l3 -> l2 : j5^0'=1+j5^0, -__const_5^0+j5^0 <= 0, cost: 1
  19: l4 -> l5 : TRUE, cost: 1
  25: l5 -> l6 : j5^0'=1, -__const_5^0+i4^0 <= 0, cost: 1
  20: l6 -> l7 : TRUE, cost: 1
  23: l7 -> l4 : i4^0'=1+i4^0, 1+__const_5^0-j5^0 <= 0, cost: 1
  24: l7 -> l9 : k6^0'=1, -__const_5^0+j5^0 <= 0, cost: 1
  21: l8 -> l6 : j5^0'=1+j5^0, 1+__const_5^0-k6^0 <= 0, cost: 1
  22: l8 -> l9 : k6^0'=1+k6^0, -__const_5^0+k6^0 <= 0, cost: 1
  26: l9 -> l8 : TRUE, cost: 1
  31: l11 -> l0 : i4^0'=1, TRUE, cost: 1
  32: l12 -> l11 : TRUE, cost: 1


Eliminating location l11 by chaining:

Applied chaining
First rule:
l12 -> l11 : TRUE, cost: 1
Second rule:
l11 -> l0 : i4^0'=1, TRUE, cost: 1
New rule:
l12 -> l0 : i4^0'=1, TRUE, cost: 2

Applied deletion
Removed the following rules: 31 32

Eliminating location l5 by chaining:

Applied chaining
First rule:
l4 -> l5 : TRUE, cost: 1
Second rule:
l5 -> l6 : j5^0'=1, -__const_5^0+i4^0 <= 0, cost: 1
New rule:
l4 -> l6 : j5^0'=1, -__const_5^0+i4^0 <= 0, cost: 2

Applied deletion
Removed the following rules: 19 25

Eliminated locations on linear paths
Start location: l12
  17: l0 -> l1 : TRUE, cost: 1
  29: l1 -> l4 : i4^0'=1, 1+__const_5^0-i4^0 <= 0, cost: 1
  30: l1 -> l2 : j5^0'=1, -__const_5^0+i4^0 <= 0, cost: 1
  18: l2 -> l3 : TRUE, cost: 1
  27: l3 -> l0 : i4^0'=1+i4^0, 1+__const_5^0-j5^0 <= 0, cost: 1
  28: l3 -> l2 : j5^0'=1+j5^0, -__const_5^0+j5^0 <= 0, cost: 1
  34: l4 -> l6 : j5^0'=1, -__const_5^0+i4^0 <= 0, cost: 2
  20: l6 -> l7 : TRUE, cost: 1
  23: l7 -> l4 : i4^0'=1+i4^0, 1+__const_5^0-j5^0 <= 0, cost: 1
  24: l7 -> l9 : k6^0'=1, -__const_5^0+j5^0 <= 0, cost: 1
  21: l8 -> l6 : j5^0'=1+j5^0, 1+__const_5^0-k6^0 <= 0, cost: 1
  22: l8 -> l9 : k6^0'=1+k6^0, -__const_5^0+k6^0 <= 0, cost: 1
  26: l9 -> l8 : TRUE, cost: 1
  33: l12 -> l0 : i4^0'=1, TRUE, cost: 2


Eliminating location l1 by chaining:

Applied chaining
First rule:
l0 -> l1 : TRUE, cost: 1
Second rule:
l1 -> l4 : i4^0'=1, 1+__const_5^0-i4^0 <= 0, cost: 1
New rule:
l0 -> l4 : i4^0'=1, 1+__const_5^0-i4^0 <= 0, cost: 2

Applied chaining
First rule:
l0 -> l1 : TRUE, cost: 1
Second rule:
l1 -> l2 : j5^0'=1, -__const_5^0+i4^0 <= 0, cost: 1
New rule:
l0 -> l2 : j5^0'=1, -__const_5^0+i4^0 <= 0, cost: 2

Applied deletion
Removed the following rules: 17 29 30

Eliminating location l3 by chaining:

Applied chaining
First rule:
l2 -> l3 : TRUE, cost: 1
Second rule:
l3 -> l0 : i4^0'=1+i4^0, 1+__const_5^0-j5^0 <= 0, cost: 1
New rule:
l2 -> l0 : i4^0'=1+i4^0, 1+__const_5^0-j5^0 <= 0, cost: 2

Applied chaining
First rule:
l2 -> l3 : TRUE, cost: 1
Second rule:
l3 -> l2 : j5^0'=1+j5^0, -__const_5^0+j5^0 <= 0, cost: 1
New rule:
l2 -> l2 : j5^0'=1+j5^0, -__const_5^0+j5^0 <= 0, cost: 2

Applied deletion
Removed the following rules: 18 27 28

Eliminating location l7 by chaining:

Applied chaining
First rule:
l6 -> l7 : TRUE, cost: 1
Second rule:
l7 -> l4 : i4^0'=1+i4^0, 1+__const_5^0-j5^0 <= 0, cost: 1
New rule:
l6 -> l4 : i4^0'=1+i4^0, 1+__const_5^0-j5^0 <= 0, cost: 2

Applied chaining
First rule:
l6 -> l7 : TRUE, cost: 1
Second rule:
l7 -> l9 : k6^0'=1, -__const_5^0+j5^0 <= 0, cost: 1
New rule:
l6 -> l9 : k6^0'=1, -__const_5^0+j5^0 <= 0, cost: 2

Applied deletion
Removed the following rules: 20 23 24

Eliminating location l8 by chaining:

Applied chaining
First rule:
l9 -> l8 : TRUE, cost: 1
Second rule:
l8 -> l6 : j5^0'=1+j5^0, 1+__const_5^0-k6^0 <= 0, cost: 1
New rule:
l9 -> l6 : j5^0'=1+j5^0, 1+__const_5^0-k6^0 <= 0, cost: 2

Applied chaining
First rule:
l9 -> l8 : TRUE, cost: 1
Second rule:
l8 -> l9 : k6^0'=1+k6^0, -__const_5^0+k6^0 <= 0, cost: 1
New rule:
l9 -> l9 : k6^0'=1+k6^0, -__const_5^0+k6^0 <= 0, cost: 2

Applied deletion
Removed the following rules: 21 22 26

Eliminated locations on tree-shaped paths
Start location: l12
  35: l0 -> l4 : i4^0'=1, 1+__const_5^0-i4^0 <= 0, cost: 2
  36: l0 -> l2 : j5^0'=1, -__const_5^0+i4^0 <= 0, cost: 2
  37: l2 -> l0 : i4^0'=1+i4^0, 1+__const_5^0-j5^0 <= 0, cost: 2
  38: l2 -> l2 : j5^0'=1+j5^0, -__const_5^0+j5^0 <= 0, cost: 2
  34: l4 -> l6 : j5^0'=1, -__const_5^0+i4^0 <= 0, cost: 2
  39: l6 -> l4 : i4^0'=1+i4^0, 1+__const_5^0-j5^0 <= 0, cost: 2
  40: l6 -> l9 : k6^0'=1, -__const_5^0+j5^0 <= 0, cost: 2
  41: l9 -> l6 : j5^0'=1+j5^0, 1+__const_5^0-k6^0 <= 0, cost: 2
  42: l9 -> l9 : k6^0'=1+k6^0, -__const_5^0+k6^0 <= 0, cost: 2
  33: l12 -> l0 : i4^0'=1, TRUE, cost: 2


Applied acceleration
Original rule:
l2 -> l2 : j5^0'=1+j5^0, -__const_5^0+j5^0 <= 0, cost: 2
New rule:
l2 -> l2 : j5^0'=j5^0+n0, (n0 >= 0 /\ 1+__const_5^0-j5^0-n0 >= 0), cost: 2*n0

Applied instantiation
Original rule:
l2 -> l2 : j5^0'=j5^0+n0, (n0 >= 0 /\ 1+__const_5^0-j5^0-n0 >= 0), cost: 2*n0
New rule:
l2 -> l2 : j5^0'=1+__const_5^0, (0 >= 0 /\ 1+__const_5^0-j5^0 >= 0), cost: 2+2*__const_5^0-2*j5^0

Applied simplification
Original rule:
l2 -> l2 : j5^0'=1+__const_5^0, (0 >= 0 /\ 1+__const_5^0-j5^0 >= 0), cost: 2+2*__const_5^0-2*j5^0
New rule:
l2 -> l2 : j5^0'=1+__const_5^0, 1+__const_5^0-j5^0 >= 0, cost: 2+2*__const_5^0-2*j5^0

Applied deletion
Removed the following rules: 38

Applied acceleration
Original rule:
l9 -> l9 : k6^0'=1+k6^0, -__const_5^0+k6^0 <= 0, cost: 2
New rule:
l9 -> l9 : k6^0'=n3+k6^0, (n3 >= 0 /\ 1+__const_5^0-n3-k6^0 >= 0), cost: 2*n3

Applied instantiation
Original rule:
l9 -> l9 : k6^0'=n3+k6^0, (n3 >= 0 /\ 1+__const_5^0-n3-k6^0 >= 0), cost: 2*n3
New rule:
l9 -> l9 : k6^0'=1+__const_5^0, (0 >= 0 /\ 1+__const_5^0-k6^0 >= 0), cost: 2+2*__const_5^0-2*k6^0

Applied simplification
Original rule:
l9 -> l9 : k6^0'=1+__const_5^0, (0 >= 0 /\ 1+__const_5^0-k6^0 >= 0), cost: 2+2*__const_5^0-2*k6^0
New rule:
l9 -> l9 : k6^0'=1+__const_5^0, 1+__const_5^0-k6^0 >= 0, cost: 2+2*__const_5^0-2*k6^0

Applied deletion
Removed the following rules: 42

Accelerated simple loops
Start location: l12
  35: l0 -> l4 : i4^0'=1, 1+__const_5^0-i4^0 <= 0, cost: 2
  36: l0 -> l2 : j5^0'=1, -__const_5^0+i4^0 <= 0, cost: 2
  37: l2 -> l0 : i4^0'=1+i4^0, 1+__const_5^0-j5^0 <= 0, cost: 2
  44: l2 -> l2 : j5^0'=1+__const_5^0, 1+__const_5^0-j5^0 >= 0, cost: 2+2*__const_5^0-2*j5^0
  34: l4 -> l6 : j5^0'=1, -__const_5^0+i4^0 <= 0, cost: 2
  39: l6 -> l4 : i4^0'=1+i4^0, 1+__const_5^0-j5^0 <= 0, cost: 2
  40: l6 -> l9 : k6^0'=1, -__const_5^0+j5^0 <= 0, cost: 2
  41: l9 -> l6 : j5^0'=1+j5^0, 1+__const_5^0-k6^0 <= 0, cost: 2
  46: l9 -> l9 : k6^0'=1+__const_5^0, 1+__const_5^0-k6^0 >= 0, cost: 2+2*__const_5^0-2*k6^0
  33: l12 -> l0 : i4^0'=1, TRUE, cost: 2


Applied chaining
First rule:
l0 -> l2 : j5^0'=1, -__const_5^0+i4^0 <= 0, cost: 2
Second rule:
l2 -> l2 : j5^0'=1+__const_5^0, 1+__const_5^0-j5^0 >= 0, cost: 2+2*__const_5^0-2*j5^0
New rule:
l0 -> l2 : j5^0'=1+__const_5^0, (__const_5^0 >= 0 /\ -__const_5^0+i4^0 <= 0), cost: 2+2*__const_5^0

Applied deletion
Removed the following rules: 44

Applied chaining
First rule:
l6 -> l9 : k6^0'=1, -__const_5^0+j5^0 <= 0, cost: 2
Second rule:
l9 -> l9 : k6^0'=1+__const_5^0, 1+__const_5^0-k6^0 >= 0, cost: 2+2*__const_5^0-2*k6^0
New rule:
l6 -> l9 : k6^0'=1+__const_5^0, (__const_5^0 >= 0 /\ -__const_5^0+j5^0 <= 0), cost: 2+2*__const_5^0

Applied deletion
Removed the following rules: 46

Chained accelerated rules with incoming rules
Start location: l12
  35: l0 -> l4 : i4^0'=1, 1+__const_5^0-i4^0 <= 0, cost: 2
  36: l0 -> l2 : j5^0'=1, -__const_5^0+i4^0 <= 0, cost: 2
  47: l0 -> l2 : j5^0'=1+__const_5^0, (__const_5^0 >= 0 /\ -__const_5^0+i4^0 <= 0), cost: 2+2*__const_5^0
  37: l2 -> l0 : i4^0'=1+i4^0, 1+__const_5^0-j5^0 <= 0, cost: 2
  34: l4 -> l6 : j5^0'=1, -__const_5^0+i4^0 <= 0, cost: 2
  39: l6 -> l4 : i4^0'=1+i4^0, 1+__const_5^0-j5^0 <= 0, cost: 2
  40: l6 -> l9 : k6^0'=1, -__const_5^0+j5^0 <= 0, cost: 2
  48: l6 -> l9 : k6^0'=1+__const_5^0, (__const_5^0 >= 0 /\ -__const_5^0+j5^0 <= 0), cost: 2+2*__const_5^0
  41: l9 -> l6 : j5^0'=1+j5^0, 1+__const_5^0-k6^0 <= 0, cost: 2
  33: l12 -> l0 : i4^0'=1, TRUE, cost: 2


Eliminating location l2 by chaining:

Applied chaining
First rule:
l0 -> l2 : j5^0'=1, -__const_5^0+i4^0 <= 0, cost: 2
Second rule:
l2 -> l0 : i4^0'=1+i4^0, 1+__const_5^0-j5^0 <= 0, cost: 2
New rule:
l0 -> l0 : j5^0'=1, i4^0'=1+i4^0, (__const_5^0 <= 0 /\ -__const_5^0+i4^0 <= 0), cost: 4

Applied chaining
First rule:
l0 -> l2 : j5^0'=1+__const_5^0, (__const_5^0 >= 0 /\ -__const_5^0+i4^0 <= 0), cost: 2+2*__const_5^0
Second rule:
l2 -> l0 : i4^0'=1+i4^0, 1+__const_5^0-j5^0 <= 0, cost: 2
New rule:
l0 -> l0 : j5^0'=1+__const_5^0, i4^0'=1+i4^0, (0 <= 0 /\ __const_5^0 >= 0 /\ -__const_5^0+i4^0 <= 0), cost: 4+2*__const_5^0

Applied simplification
Original rule:
l0 -> l0 : j5^0'=1+__const_5^0, i4^0'=1+i4^0, (0 <= 0 /\ __const_5^0 >= 0 /\ -__const_5^0+i4^0 <= 0), cost: 4+2*__const_5^0
New rule:
l0 -> l0 : j5^0'=1+__const_5^0, i4^0'=1+i4^0, (__const_5^0 >= 0 /\ -__const_5^0+i4^0 <= 0), cost: 4+2*__const_5^0

Applied deletion
Removed the following rules: 36 37 47

Eliminating location l9 by chaining:

Applied chaining
First rule:
l6 -> l9 : k6^0'=1, -__const_5^0+j5^0 <= 0, cost: 2
Second rule:
l9 -> l6 : j5^0'=1+j5^0, 1+__const_5^0-k6^0 <= 0, cost: 2
New rule:
l6 -> l6 : j5^0'=1+j5^0, k6^0'=1, (__const_5^0 <= 0 /\ -__const_5^0+j5^0 <= 0), cost: 4

Applied chaining
First rule:
l6 -> l9 : k6^0'=1+__const_5^0, (__const_5^0 >= 0 /\ -__const_5^0+j5^0 <= 0), cost: 2+2*__const_5^0
Second rule:
l9 -> l6 : j5^0'=1+j5^0, 1+__const_5^0-k6^0 <= 0, cost: 2
New rule:
l6 -> l6 : j5^0'=1+j5^0, k6^0'=1+__const_5^0, (0 <= 0 /\ __const_5^0 >= 0 /\ -__const_5^0+j5^0 <= 0), cost: 4+2*__const_5^0

Applied simplification
Original rule:
l6 -> l6 : j5^0'=1+j5^0, k6^0'=1+__const_5^0, (0 <= 0 /\ __const_5^0 >= 0 /\ -__const_5^0+j5^0 <= 0), cost: 4+2*__const_5^0
New rule:
l6 -> l6 : j5^0'=1+j5^0, k6^0'=1+__const_5^0, (__const_5^0 >= 0 /\ -__const_5^0+j5^0 <= 0), cost: 4+2*__const_5^0

Applied deletion
Removed the following rules: 40 41 48

Eliminated locations on tree-shaped paths
Start location: l12
  35: l0 -> l4 : i4^0'=1, 1+__const_5^0-i4^0 <= 0, cost: 2
  49: l0 -> l0 : j5^0'=1, i4^0'=1+i4^0, (__const_5^0 <= 0 /\ -__const_5^0+i4^0 <= 0), cost: 4
  50: l0 -> l0 : j5^0'=1+__const_5^0, i4^0'=1+i4^0, (__const_5^0 >= 0 /\ -__const_5^0+i4^0 <= 0), cost: 4+2*__const_5^0
  34: l4 -> l6 : j5^0'=1, -__const_5^0+i4^0 <= 0, cost: 2
  39: l6 -> l4 : i4^0'=1+i4^0, 1+__const_5^0-j5^0 <= 0, cost: 2
  51: l6 -> l6 : j5^0'=1+j5^0, k6^0'=1, (__const_5^0 <= 0 /\ -__const_5^0+j5^0 <= 0), cost: 4
  52: l6 -> l6 : j5^0'=1+j5^0, k6^0'=1+__const_5^0, (__const_5^0 >= 0 /\ -__const_5^0+j5^0 <= 0), cost: 4+2*__const_5^0
  33: l12 -> l0 : i4^0'=1, TRUE, cost: 2


Applied acceleration
Original rule:
l0 -> l0 : j5^0'=1, i4^0'=1+i4^0, (__const_5^0 <= 0 /\ -__const_5^0+i4^0 <= 0), cost: 4
New rule:
l0 -> l0 : j5^0'=1, i4^0'=n7+i4^0, (1+__const_5^0-n7-i4^0 >= 0 /\ -1+n7 >= 0 /\ -__const_5^0 >= 0), cost: 4*n7

Applied instantiation
Original rule:
l0 -> l0 : j5^0'=1, i4^0'=n7+i4^0, (1+__const_5^0-n7-i4^0 >= 0 /\ -1+n7 >= 0 /\ -__const_5^0 >= 0), cost: 4*n7
New rule:
l0 -> l0 : j5^0'=1, i4^0'=1+__const_5^0, (0 >= 0 /\ -__const_5^0 >= 0 /\ __const_5^0-i4^0 >= 0), cost: 4+4*__const_5^0-4*i4^0

Applied acceleration
Original rule:
l0 -> l0 : j5^0'=1+__const_5^0, i4^0'=1+i4^0, (__const_5^0 >= 0 /\ -__const_5^0+i4^0 <= 0), cost: 4+2*__const_5^0
New rule:
l0 -> l0 : j5^0'=1+__const_5^0, i4^0'=n9+i4^0, (__const_5^0 >= 0 /\ 1+__const_5^0-n9-i4^0 >= 0 /\ -1+n9 >= 0), cost: 4*n9+2*__const_5^0*n9

Applied instantiation
Original rule:
l0 -> l0 : j5^0'=1+__const_5^0, i4^0'=n9+i4^0, (__const_5^0 >= 0 /\ 1+__const_5^0-n9-i4^0 >= 0 /\ -1+n9 >= 0), cost: 4*n9+2*__const_5^0*n9
New rule:
l0 -> l0 : j5^0'=1+__const_5^0, i4^0'=1+__const_5^0, (0 >= 0 /\ __const_5^0 >= 0 /\ __const_5^0-i4^0 >= 0), cost: 4+4*__const_5^0+2*__const_5^0*(1+__const_5^0-i4^0)-4*i4^0

Applied simplification
Original rule:
l0 -> l0 : j5^0'=1, i4^0'=1+__const_5^0, (0 >= 0 /\ -__const_5^0 >= 0 /\ __const_5^0-i4^0 >= 0), cost: 4+4*__const_5^0-4*i4^0
New rule:
l0 -> l0 : j5^0'=1, i4^0'=1+__const_5^0, (__const_5^0 <= 0 /\ __const_5^0-i4^0 >= 0), cost: 4+4*__const_5^0-4*i4^0

Applied simplification
Original rule:
l0 -> l0 : j5^0'=1+__const_5^0, i4^0'=1+__const_5^0, (0 >= 0 /\ __const_5^0 >= 0 /\ __const_5^0-i4^0 >= 0), cost: 4+4*__const_5^0+2*__const_5^0*(1+__const_5^0-i4^0)-4*i4^0
New rule:
l0 -> l0 : j5^0'=1+__const_5^0, i4^0'=1+__const_5^0, (__const_5^0 >= 0 /\ __const_5^0-i4^0 >= 0), cost: 4+4*__const_5^0+2*__const_5^0*(1+__const_5^0-i4^0)-4*i4^0

Applied deletion
Removed the following rules: 49 50

Applied acceleration
Original rule:
l6 -> l6 : j5^0'=1+j5^0, k6^0'=1, (__const_5^0 <= 0 /\ -__const_5^0+j5^0 <= 0), cost: 4
New rule:
l6 -> l6 : j5^0'=j5^0+n19, k6^0'=1, (-__const_5^0 >= 0 /\ -1+n19 >= 0 /\ 1+__const_5^0-j5^0-n19 >= 0), cost: 4*n19

Applied instantiation
Original rule:
l6 -> l6 : j5^0'=j5^0+n19, k6^0'=1, (-__const_5^0 >= 0 /\ -1+n19 >= 0 /\ 1+__const_5^0-j5^0-n19 >= 0), cost: 4*n19
New rule:
l6 -> l6 : j5^0'=1+__const_5^0, k6^0'=1, (0 >= 0 /\ -__const_5^0 >= 0 /\ __const_5^0-j5^0 >= 0), cost: 4+4*__const_5^0-4*j5^0

Applied acceleration
Original rule:
l6 -> l6 : j5^0'=1+j5^0, k6^0'=1+__const_5^0, (__const_5^0 >= 0 /\ -__const_5^0+j5^0 <= 0), cost: 4+2*__const_5^0
New rule:
l6 -> l6 : j5^0'=j5^0+n21, k6^0'=1+__const_5^0, (__const_5^0 >= 0 /\ 1+__const_5^0-j5^0-n21 >= 0 /\ -1+n21 >= 0), cost: 2*__const_5^0*n21+4*n21

Applied instantiation
Original rule:
l6 -> l6 : j5^0'=j5^0+n21, k6^0'=1+__const_5^0, (__const_5^0 >= 0 /\ 1+__const_5^0-j5^0-n21 >= 0 /\ -1+n21 >= 0), cost: 2*__const_5^0*n21+4*n21
New rule:
l6 -> l6 : j5^0'=1+__const_5^0, k6^0'=1+__const_5^0, (0 >= 0 /\ __const_5^0 >= 0 /\ __const_5^0-j5^0 >= 0), cost: 4+4*__const_5^0+2*__const_5^0*(1+__const_5^0-j5^0)-4*j5^0

Applied simplification
Original rule:
l6 -> l6 : j5^0'=1+__const_5^0, k6^0'=1, (0 >= 0 /\ -__const_5^0 >= 0 /\ __const_5^0-j5^0 >= 0), cost: 4+4*__const_5^0-4*j5^0
New rule:
l6 -> l6 : j5^0'=1+__const_5^0, k6^0'=1, (__const_5^0 <= 0 /\ __const_5^0-j5^0 >= 0), cost: 4+4*__const_5^0-4*j5^0

Applied simplification
Original rule:
l6 -> l6 : j5^0'=1+__const_5^0, k6^0'=1+__const_5^0, (0 >= 0 /\ __const_5^0 >= 0 /\ __const_5^0-j5^0 >= 0), cost: 4+4*__const_5^0+2*__const_5^0*(1+__const_5^0-j5^0)-4*j5^0
New rule:
l6 -> l6 : j5^0'=1+__const_5^0, k6^0'=1+__const_5^0, (__const_5^0 >= 0 /\ __const_5^0-j5^0 >= 0), cost: 4+4*__const_5^0+2*__const_5^0*(1+__const_5^0-j5^0)-4*j5^0

Applied deletion
Removed the following rules: 51 52

Accelerated simple loops
Start location: l12
  35: l0 -> l4 : i4^0'=1, 1+__const_5^0-i4^0 <= 0, cost: 2
  55: l0 -> l0 : j5^0'=1, i4^0'=1+__const_5^0, (__const_5^0 <= 0 /\ __const_5^0-i4^0 >= 0), cost: 4+4*__const_5^0-4*i4^0
  56: l0 -> l0 : j5^0'=1+__const_5^0, i4^0'=1+__const_5^0, (__const_5^0 >= 0 /\ __const_5^0-i4^0 >= 0), cost: 4+4*__const_5^0+2*__const_5^0*(1+__const_5^0-i4^0)-4*i4^0
  34: l4 -> l6 : j5^0'=1, -__const_5^0+i4^0 <= 0, cost: 2
  39: l6 -> l4 : i4^0'=1+i4^0, 1+__const_5^0-j5^0 <= 0, cost: 2
  59: l6 -> l6 : j5^0'=1+__const_5^0, k6^0'=1, (__const_5^0 <= 0 /\ __const_5^0-j5^0 >= 0), cost: 4+4*__const_5^0-4*j5^0
  60: l6 -> l6 : j5^0'=1+__const_5^0, k6^0'=1+__const_5^0, (__const_5^0 >= 0 /\ __const_5^0-j5^0 >= 0), cost: 4+4*__const_5^0+2*__const_5^0*(1+__const_5^0-j5^0)-4*j5^0
  33: l12 -> l0 : i4^0'=1, TRUE, cost: 2


Applied chaining
First rule:
l12 -> l0 : i4^0'=1, TRUE, cost: 2
Second rule:
l0 -> l0 : j5^0'=1+__const_5^0, i4^0'=1+__const_5^0, (__const_5^0 >= 0 /\ __const_5^0-i4^0 >= 0), cost: 4+4*__const_5^0+2*__const_5^0*(1+__const_5^0-i4^0)-4*i4^0
New rule:
l12 -> l0 : j5^0'=1+__const_5^0, i4^0'=1+__const_5^0, -1+__const_5^0 >= 0, cost: 2+4*__const_5^0+2*__const_5^0^2

Applied deletion
Removed the following rules: 55 56

Applied chaining
First rule:
l4 -> l6 : j5^0'=1, -__const_5^0+i4^0 <= 0, cost: 2
Second rule:
l6 -> l6 : j5^0'=1+__const_5^0, k6^0'=1+__const_5^0, (__const_5^0 >= 0 /\ __const_5^0-j5^0 >= 0), cost: 4+4*__const_5^0+2*__const_5^0*(1+__const_5^0-j5^0)-4*j5^0
New rule:
l4 -> l6 : j5^0'=1+__const_5^0, k6^0'=1+__const_5^0, (-1+__const_5^0 >= 0 /\ -__const_5^0+i4^0 <= 0), cost: 2+4*__const_5^0+2*__const_5^0^2

Applied deletion
Removed the following rules: 59 60

Chained accelerated rules with incoming rules
Start location: l12
  35: l0 -> l4 : i4^0'=1, 1+__const_5^0-i4^0 <= 0, cost: 2
  34: l4 -> l6 : j5^0'=1, -__const_5^0+i4^0 <= 0, cost: 2
  62: l4 -> l6 : j5^0'=1+__const_5^0, k6^0'=1+__const_5^0, (-1+__const_5^0 >= 0 /\ -__const_5^0+i4^0 <= 0), cost: 2+4*__const_5^0+2*__const_5^0^2
  39: l6 -> l4 : i4^0'=1+i4^0, 1+__const_5^0-j5^0 <= 0, cost: 2
  33: l12 -> l0 : i4^0'=1, TRUE, cost: 2
  61: l12 -> l0 : j5^0'=1+__const_5^0, i4^0'=1+__const_5^0, -1+__const_5^0 >= 0, cost: 2+4*__const_5^0+2*__const_5^0^2


Eliminating location l0 by chaining:

Applied chaining
First rule:
l12 -> l0 : i4^0'=1, TRUE, cost: 2
Second rule:
l0 -> l4 : i4^0'=1, 1+__const_5^0-i4^0 <= 0, cost: 2
New rule:
l12 -> l4 : i4^0'=1, __const_5^0 <= 0, cost: 4

Applied chaining
First rule:
l12 -> l0 : j5^0'=1+__const_5^0, i4^0'=1+__const_5^0, -1+__const_5^0 >= 0, cost: 2+4*__const_5^0+2*__const_5^0^2
Second rule:
l0 -> l4 : i4^0'=1, 1+__const_5^0-i4^0 <= 0, cost: 2
New rule:
l12 -> l4 : j5^0'=1+__const_5^0, i4^0'=1, (0 <= 0 /\ -1+__const_5^0 >= 0), cost: 4+4*__const_5^0+2*__const_5^0^2

Applied simplification
Original rule:
l12 -> l4 : j5^0'=1+__const_5^0, i4^0'=1, (0 <= 0 /\ -1+__const_5^0 >= 0), cost: 4+4*__const_5^0+2*__const_5^0^2
New rule:
l12 -> l4 : j5^0'=1+__const_5^0, i4^0'=1, -1+__const_5^0 >= 0, cost: 4+4*__const_5^0+2*__const_5^0^2

Applied deletion
Removed the following rules: 33 35 61

Eliminating location l6 by chaining:

Applied chaining
First rule:
l4 -> l6 : j5^0'=1, -__const_5^0+i4^0 <= 0, cost: 2
Second rule:
l6 -> l4 : i4^0'=1+i4^0, 1+__const_5^0-j5^0 <= 0, cost: 2
New rule:
l4 -> l4 : j5^0'=1, i4^0'=1+i4^0, (__const_5^0 <= 0 /\ -__const_5^0+i4^0 <= 0), cost: 4

Applied chaining
First rule:
l4 -> l6 : j5^0'=1+__const_5^0, k6^0'=1+__const_5^0, (-1+__const_5^0 >= 0 /\ -__const_5^0+i4^0 <= 0), cost: 2+4*__const_5^0+2*__const_5^0^2
Second rule:
l6 -> l4 : i4^0'=1+i4^0, 1+__const_5^0-j5^0 <= 0, cost: 2
New rule:
l4 -> l4 : j5^0'=1+__const_5^0, i4^0'=1+i4^0, k6^0'=1+__const_5^0, (0 <= 0 /\ -1+__const_5^0 >= 0 /\ -__const_5^0+i4^0 <= 0), cost: 4+4*__const_5^0+2*__const_5^0^2

Applied simplification
Original rule:
l4 -> l4 : j5^0'=1+__const_5^0, i4^0'=1+i4^0, k6^0'=1+__const_5^0, (0 <= 0 /\ -1+__const_5^0 >= 0 /\ -__const_5^0+i4^0 <= 0), cost: 4+4*__const_5^0+2*__const_5^0^2
New rule:
l4 -> l4 : j5^0'=1+__const_5^0, i4^0'=1+i4^0, k6^0'=1+__const_5^0, (-1+__const_5^0 >= 0 /\ -__const_5^0+i4^0 <= 0), cost: 4+4*__const_5^0+2*__const_5^0^2

Applied deletion
Removed the following rules: 34 39 62

Eliminated locations on tree-shaped paths
Start location: l12
  65: l4 -> l4 : j5^0'=1, i4^0'=1+i4^0, (__const_5^0 <= 0 /\ -__const_5^0+i4^0 <= 0), cost: 4
  66: l4 -> l4 : j5^0'=1+__const_5^0, i4^0'=1+i4^0, k6^0'=1+__const_5^0, (-1+__const_5^0 >= 0 /\ -__const_5^0+i4^0 <= 0), cost: 4+4*__const_5^0+2*__const_5^0^2
  63: l12 -> l4 : i4^0'=1, __const_5^0 <= 0, cost: 4
  64: l12 -> l4 : j5^0'=1+__const_5^0, i4^0'=1, -1+__const_5^0 >= 0, cost: 4+4*__const_5^0+2*__const_5^0^2


Applied acceleration
Original rule:
l4 -> l4 : j5^0'=1, i4^0'=1+i4^0, (__const_5^0 <= 0 /\ -__const_5^0+i4^0 <= 0), cost: 4
New rule:
l4 -> l4 : j5^0'=1, i4^0'=n31+i4^0, (-1+n31 >= 0 /\ -__const_5^0 >= 0 /\ 1+__const_5^0-n31-i4^0 >= 0), cost: 4*n31

Applied instantiation
Original rule:
l4 -> l4 : j5^0'=1, i4^0'=n31+i4^0, (-1+n31 >= 0 /\ -__const_5^0 >= 0 /\ 1+__const_5^0-n31-i4^0 >= 0), cost: 4*n31
New rule:
l4 -> l4 : j5^0'=1, i4^0'=1+__const_5^0, (0 >= 0 /\ -__const_5^0 >= 0 /\ __const_5^0-i4^0 >= 0), cost: 4+4*__const_5^0-4*i4^0

Applied acceleration
Original rule:
l4 -> l4 : j5^0'=1+__const_5^0, i4^0'=1+i4^0, k6^0'=1+__const_5^0, (-1+__const_5^0 >= 0 /\ -__const_5^0+i4^0 <= 0), cost: 4+4*__const_5^0+2*__const_5^0^2
New rule:
l4 -> l4 : j5^0'=1+__const_5^0, i4^0'=n33+i4^0, k6^0'=1+__const_5^0, (1+__const_5^0-n33-i4^0 >= 0 /\ -1+__const_5^0 >= 0 /\ -1+n33 >= 0), cost: 4*__const_5^0*n33+4*n33+2*__const_5^0^2*n33

Applied instantiation
Original rule:
l4 -> l4 : j5^0'=1+__const_5^0, i4^0'=n33+i4^0, k6^0'=1+__const_5^0, (1+__const_5^0-n33-i4^0 >= 0 /\ -1+__const_5^0 >= 0 /\ -1+n33 >= 0), cost: 4*__const_5^0*n33+4*n33+2*__const_5^0^2*n33
New rule:
l4 -> l4 : j5^0'=1+__const_5^0, i4^0'=1+__const_5^0, k6^0'=1+__const_5^0, (0 >= 0 /\ -1+__const_5^0 >= 0 /\ __const_5^0-i4^0 >= 0), cost: 4+4*__const_5^0+2*__const_5^0^2*(1+__const_5^0-i4^0)+4*__const_5^0*(1+__const_5^0-i4^0)-4*i4^0

Applied simplification
Original rule:
l4 -> l4 : j5^0'=1, i4^0'=1+__const_5^0, (0 >= 0 /\ -__const_5^0 >= 0 /\ __const_5^0-i4^0 >= 0), cost: 4+4*__const_5^0-4*i4^0
New rule:
l4 -> l4 : j5^0'=1, i4^0'=1+__const_5^0, (__const_5^0 <= 0 /\ __const_5^0-i4^0 >= 0), cost: 4+4*__const_5^0-4*i4^0

Applied simplification
Original rule:
l4 -> l4 : j5^0'=1+__const_5^0, i4^0'=1+__const_5^0, k6^0'=1+__const_5^0, (0 >= 0 /\ -1+__const_5^0 >= 0 /\ __const_5^0-i4^0 >= 0), cost: 4+4*__const_5^0+2*__const_5^0^2*(1+__const_5^0-i4^0)+4*__const_5^0*(1+__const_5^0-i4^0)-4*i4^0
New rule:
l4 -> l4 : j5^0'=1+__const_5^0, i4^0'=1+__const_5^0, k6^0'=1+__const_5^0, (-1+__const_5^0 >= 0 /\ __const_5^0-i4^0 >= 0), cost: 4+4*__const_5^0+2*__const_5^0^2*(1+__const_5^0-i4^0)+4*__const_5^0*(1+__const_5^0-i4^0)-4*i4^0

Applied deletion
Removed the following rules: 65 66

Accelerated simple loops
Start location: l12
  69: l4 -> l4 : j5^0'=1, i4^0'=1+__const_5^0, (__const_5^0 <= 0 /\ __const_5^0-i4^0 >= 0), cost: 4+4*__const_5^0-4*i4^0
  70: l4 -> l4 : j5^0'=1+__const_5^0, i4^0'=1+__const_5^0, k6^0'=1+__const_5^0, (-1+__const_5^0 >= 0 /\ __const_5^0-i4^0 >= 0), cost: 4+4*__const_5^0+2*__const_5^0^2*(1+__const_5^0-i4^0)+4*__const_5^0*(1+__const_5^0-i4^0)-4*i4^0
  63: l12 -> l4 : i4^0'=1, __const_5^0 <= 0, cost: 4
  64: l12 -> l4 : j5^0'=1+__const_5^0, i4^0'=1, -1+__const_5^0 >= 0, cost: 4+4*__const_5^0+2*__const_5^0^2


Applied chaining
First rule:
l12 -> l4 : j5^0'=1+__const_5^0, i4^0'=1, -1+__const_5^0 >= 0, cost: 4+4*__const_5^0+2*__const_5^0^2
Second rule:
l4 -> l4 : j5^0'=1+__const_5^0, i4^0'=1+__const_5^0, k6^0'=1+__const_5^0, (-1+__const_5^0 >= 0 /\ __const_5^0-i4^0 >= 0), cost: 4+4*__const_5^0+2*__const_5^0^2*(1+__const_5^0-i4^0)+4*__const_5^0*(1+__const_5^0-i4^0)-4*i4^0
New rule:
l12 -> l4 : j5^0'=1+__const_5^0, i4^0'=1+__const_5^0, k6^0'=1+__const_5^0, -1+__const_5^0 >= 0, cost: 4+8*__const_5^0+6*__const_5^0^2+2*__const_5^0^3

Applied deletion
Removed the following rules: 69 70

Chained accelerated rules with incoming rules
Start location: l12
  63: l12 -> l4 : i4^0'=1, __const_5^0 <= 0, cost: 4
  64: l12 -> l4 : j5^0'=1+__const_5^0, i4^0'=1, -1+__const_5^0 >= 0, cost: 4+4*__const_5^0+2*__const_5^0^2
  71: l12 -> l4 : j5^0'=1+__const_5^0, i4^0'=1+__const_5^0, k6^0'=1+__const_5^0, -1+__const_5^0 >= 0, cost: 4+8*__const_5^0+6*__const_5^0^2+2*__const_5^0^3


Removed unreachable locations and irrelevant leafs
Start location: l12
  <empty>


Computing asymptotic complexity

Proved the following lower bound
Complexity:  Unknown
Cpx degree: ?

Solved cost: 0
Rule cost:   0