start trace

after applying start

( + . (!.(id.2π1.2π1,2π2)o,2)o )* . distl . (id,id.2π2)o . id . id . id

after applying RemoveIds1

( + . (!.(2π1.2π1,2π2)o,2)o )* . distl . (id,id.2π2)o . id . id . id

after applying MapIntoComp

( + )* . ( (!.(2π1.2π1,2π2)o,2)o )* . distl . (id,id.2π2)o . id . id . id

after applying MapIntoAlltup

( + )* . zip2 . ((!.(2π1.2π1,2π2)o)*,(2)*)o . distl . (id,id.2π2)o . id . id . id

after applying MapIntoComp

( + )* . zip2 . ((!)*.((2π1.2π1,2π2)o)*,(2)*)o . distl . (id,id.2π2)o . id . id . id

after applying MapIntoAlltup

( + )* . zip2 . ((!)*.zip2.((2π1.2π1)*,(2π2)*)o,(2)*)o . distl . (id,id.2π2)o . id . id . id

after applying MapIntoComp

( + )* . zip2 . ((!)*.zip2.((2π1)*.(2π1)*,(2π2)*)o,(2)*)o . distl . (id,id.2π2)o . id . id . id

after applying LeftAssociate

( + )* . zip2 . ((!)*.zip2.((2π1)*.(2π1)*,(2π2)*)o,(2)*)o . distl . (id,id.2π2)o . id . id . id

after applying LeftAssociate

( + )* . zip2 . ((!)*.zip2.((2π1)*.(2π1)*,(2π2)*)o,(2)*)o . distl . (id,id.2π2)o . id . id . id

after applying ConRepeat

( + )* . zip2 . ((!)*.zip2.((2π1)*.(2π1)*,(2π2)*)o,repeat.(2,#)o)o . distl . (id,id.2π2)o . id . id . id

after applying CompIntoMap

( + )* . zip2 . ((!)*.zip2.((2π1.2π1)*,(2π2)*)o,repeat.(2,#)o)o . distl . (id,id.2π2)o . id . id . id

after applying MapIntoComp

( + )* . zip2 . ((!)*.zip2.((2π1)*.(2π1)*,(2π2)*)o,repeat.(2,#)o)o . distl . (id,id.2π2)o . id . id . id

after applying DistlElim

( + )* . zip2 . ((!)*.zip2.((2π1)*.(2π1)*,(2π2)*)o,repeat.(2,#)o)o . zip2 . (repeat.(2π1,#.2π2)o,2π2)o . (id,id.2π2)o . id . id . id

after applying LeftAssociate

( + )* . zip2 . ((!)*.zip2.((2π1)*.(2π1)*,(2π2)*)o,repeat.(2,#)o)o . zip2 . (repeat.(2π1,#.2π2)o,2π2)o . (id,id.2π2)o . id . id . id

after applying CompIntoMap

( + )* . zip2 . ((!)*.zip2.((2π1.2π1)*,(2π2)*)o,repeat.(2,#)o)o . zip2 . (repeat.(2π1,#.2π2)o,2π2)o . (id,id.2π2)o . id . id . id

after applying RightAssoc2

( + )* . zip2 . ((!)*.zip2.((2π1.2π1)*,(2π2)*)o,repeat.(2,#)o)o . zip2 . (repeat.(2π1,#.2π2)o,2π2)o . (id,id.2π2)o . id . id . id

after applying CompIntoAlltup1

( + )* . zip2 . ((!)*.zip2.((2π1.2π1)*,(2π2)*)o.zip2,repeat.(2,#)o.zip2)o . (repeat.(2π1,#.2π2)o,2π2)o . (id,id.2π2)o . id . id . id

after applying RightAssoc2

( + )* . zip2 . ((!)*.zip2.((2π1.2π1)*,(2π2)*)o.zip2,repeat.(2,#)o.zip2)o . (repeat.(2π1,#.2π2)o,2π2)o . (id,id.2π2)o . id . id . id

after applying CompIntoAlltup1

( + )* . zip2 . ((!)*.zip2.((2π1.2π1)*.zip2,(2π2)*.zip2)o,repeat.(2,#)o.zip2)o . (repeat.(2π1,#.2π2)o,2π2)o . (id,id.2π2)o . id . id . id

after applying RightAssoc2

( + )* . zip2 . ((!)*.zip2.((2π1.2π1)*.zip2,(2π2)*.zip2)o,repeat.(2,#)o.zip2)o . (repeat.(2π1,#.2π2)o,2π2)o . (id,id.2π2)o . id . id . id

after applying CompIntoAlltup1

( + )* . zip2 . ((!)*.zip2.((2π1.2π1)*.zip2,(2π2)*.zip2)o,repeat.(2.zip2,#.zip2)o)o . (repeat.(2π1,#.2π2)o,2π2)o . (id,id.2π2)o . id . id . id

after applying RightAssoc2

( + )* . zip2 . ((!)*.zip2.((2π1.2π1)*.zip2,(2π2)*.zip2)o,repeat.(2.zip2,#.zip2)o)o . (repeat.(2π1,#.2π2)o,2π2)o . (id,id.2π2)o . id . id . id

after applying CompIntoAlltup1

( + )* . zip2 . ((!)*.zip2.((2π1.2π1)*.zip2,(2π2)*.zip2)o.(repeat.(2π1,#.2π2)o,2π2)o,repeat.(2.zip2,#.zip2)o.(repeat.(2π1,#.2π2)o,2π2)o)o . (id,id.2π2)o . id . id . id

after applying RightAssoc2

( + )* . zip2 . ((!)*.zip2.((2π1.2π1)*.zip2,(2π2)*.zip2)o.(repeat.(2π1,#.2π2)o,2π2)o,repeat.(2.zip2,#.zip2)o.(repeat.(2π1,#.2π2)o,2π2)o)o . (id,id.2π2)o . id . id . id

after applying CompIntoAlltup1

( + )* . zip2 . ((!)*.zip2.((2π1.2π1)*.zip2.(repeat.(2π1,#.2π2)o,2π2)o,(2π2)*.zip2.(repeat.(2π1,#.2π2)o,2π2)o)o,repeat.(2.zip2,#.zip2)o.(repeat.(2π1,#.2π2)o,2π2)o)o . (id,id.2π2)o . id . id . id

after applying RightAssoc2

( + )* . zip2 . ((!)*.zip2.((2π1.2π1)*.zip2.(repeat.(2π1,#.2π2)o,2π2)o,(2π2)*.zip2.(repeat.(2π1,#.2π2)o,2π2)o)o,repeat.(2.zip2,#.zip2)o.(repeat.(2π1,#.2π2)o,2π2)o)o . (id,id.2π2)o . id . id . id

after applying CompIntoAlltup1

( + )* . zip2 . ((!)*.zip2.((2π1.2π1)*.zip2.(repeat.(2π1,#.2π2)o,2π2)o,(2π2)*.zip2.(repeat.(2π1,#.2π2)o,2π2)o)o,repeat.(2.zip2.(repeat.(2π1,#.2π2)o,2π2)o,#.zip2.(repeat.(2π1,#.2π2)o,2π2)o)o)o . (id,id.2π2)o . id . id . id

after applying AddrIntoZip

( + )* . zip2 . ((!)*.zip2.((2π1.2π1)*.zip2.(repeat.(2π1,#.2π2)o,2π2)o,2π2.(repeat.(2π1,#.2π2)o,2π2)o)o,repeat.(2.zip2.(repeat.(2π1,#.2π2)o,2π2)o,#.zip2.(repeat.(2π1,#.2π2)o,2π2)o)o)o . (id,id.2π2)o . id . id . id

after applying AddrIntoAlltup

( + )* . zip2 . ((!)*.zip2.((2π1.2π1)*.zip2.(repeat.(2π1,#.2π2)o,2π2)o,2π2)o,repeat.(2.zip2.(repeat.(2π1,#.2π2)o,2π2)o,#.zip2.(repeat.(2π1,#.2π2)o,2π2)o)o)o . (id,id.2π2)o . id . id . id

after applying ConAsorb

( + )* . zip2 . ((!)*.zip2.((2π1.2π1)*.zip2.(repeat.(2π1,#.2π2)o,2π2)o,2π2)o,repeat.(2.(repeat.(2π1,#.2π2)o,2π2)o,#.zip2.(repeat.(2π1,#.2π2)o,2π2)o)o)o . (id,id.2π2)o . id . id . id

after applying ConAsorb

( + )* . zip2 . ((!)*.zip2.((2π1.2π1)*.zip2.(repeat.(2π1,#.2π2)o,2π2)o,2π2)o,repeat.(2,#.zip2.(repeat.(2π1,#.2π2)o,2π2)o)o)o . (id,id.2π2)o . id . id . id

after applying LengthIntoZip

( + )* . zip2 . ((!)*.zip2.((2π1.2π1)*.zip2.(repeat.(2π1,#.2π2)o,2π2)o,2π2)o,repeat.(2,#.2π1.(repeat.(2π1,#.2π2)o,2π2)o)o)o . (id,id.2π2)o . id . id . id

after applying RightAssoc2

( + )* . zip2 . ((!)*.zip2.((2π1.2π1)*.zip2.(repeat.(2π1,#.2π2)o,2π2)o,2π2)o,repeat.(2,#.2π1.(repeat.(2π1,#.2π2)o,2π2)o)o)o . (id,id.2π2)o . id . id . id

after applying AddrIntoAlltup

( + )* . zip2 . ((!)*.zip2.((2π1.2π1)*.zip2.(repeat.(2π1,#.2π2)o,2π2)o,2π2)o,repeat.(2,#.repeat.(2π1,#.2π2)o)o)o . (id,id.2π2)o . id . id . id

after applying LeftAssociate

( + )* . zip2 . ((!)*.zip2.((2π1.2π1)*.zip2.(repeat.(2π1,#.2π2)o,2π2)o,2π2)o,repeat.(2,#.repeat.(2π1,#.2π2)o)o)o . (id,id.2π2)o . id . id . id

after applying LengthIntoRepeat

( + )* . zip2 . ((!)*.zip2.((2π1.2π1)*.zip2.(repeat.(2π1,#.2π2)o,2π2)o,2π2)o,repeat.(2,2π2.(2π1,#.2π2)o)o)o . (id,id.2π2)o . id . id . id

after applying AddrIntoAlltup

( + )* . zip2 . ((!)*.zip2.((2π1.2π1)*.zip2.(repeat.(2π1,#.2π2)o,2π2)o,2π2)o,repeat.(2,#.2π2)o)o . (id,id.2π2)o . id . id . id

after applying MapIntoComp

( + )* . zip2 . ((!)*.zip2.((2π1)*.(2π1)*.zip2.(repeat.(2π1,#.2π2)o,2π2)o,2π2)o,repeat.(2,#.2π2)o)o . (id,id.2π2)o . id . id . id

after applying RightAssoc2

( + )* . zip2 . ((!)*.zip2.((2π1)*.(2π1)*.zip2.(repeat.(2π1,#.2π2)o,2π2)o,2π2)o,repeat.(2,#.2π2)o)o . (id,id.2π2)o . id . id . id

after applying AddrIntoZip

( + )* . zip2 . ((!)*.zip2.((2π1)*.2π1.(repeat.(2π1,#.2π2)o,2π2)o,2π2)o,repeat.(2,#.2π2)o)o . (id,id.2π2)o . id . id . id

after applying RightAssoc2

( + )* . zip2 . ((!)*.zip2.((2π1)*.2π1.(repeat.(2π1,#.2π2)o,2π2)o,2π2)o,repeat.(2,#.2π2)o)o . (id,id.2π2)o . id . id . id

after applying AddrIntoAlltup

( + )* . zip2 . ((!)*.zip2.((2π1)*.repeat.(2π1,#.2π2)o,2π2)o,repeat.(2,#.2π2)o)o . (id,id.2π2)o . id . id . id

after applying LeftAssociate

( + )* . zip2 . ((!)*.zip2.((2π1)*.repeat.(2π1,#.2π2)o,2π2)o,repeat.(2,#.2π2)o)o . (id,id.2π2)o . id . id . id

after applying RepeatFusion

( + )* . zip2 . ((!)*.zip2.(repeat.(2π1.2π1,2π2)o.(2π1,#.2π2)o,2π2)o,repeat.(2,#.2π2)o)o . (id,id.2π2)o . id . id . id

after applying RightAssoc2

( + )* . zip2 . ((!)*.zip2.(repeat.(2π1.2π1,2π2)o.(2π1,#.2π2)o,2π2)o,repeat.(2,#.2π2)o)o . (id,id.2π2)o . id . id . id

after applying CompIntoAlltup1

( + )* . zip2 . ((!)*.zip2.(repeat.(2π1.2π1.(2π1,#.2π2)o,2π2.(2π1,#.2π2)o)o,2π2)o,repeat.(2,#.2π2)o)o . (id,id.2π2)o . id . id . id

after applying RightAssoc2

( + )* . zip2 . ((!)*.zip2.(repeat.(2π1.2π1.(2π1,#.2π2)o,2π2.(2π1,#.2π2)o)o,2π2)o,repeat.(2,#.2π2)o)o . (id,id.2π2)o . id . id . id

after applying AddrIntoAlltup

( + )* . zip2 . ((!)*.zip2.(repeat.(2π1.2π1,2π2.(2π1,#.2π2)o)o,2π2)o,repeat.(2,#.2π2)o)o . (id,id.2π2)o . id . id . id

after applying AddrIntoAlltup

( + )* . zip2 . ((!)*.zip2.(repeat.(2π1.2π1,#.2π2)o,2π2)o,repeat.(2,#.2π2)o)o . (id,id.2π2)o . id . id . id

after applying SelectIntro

( + )* . zip2 . (select.(2π1.2π1,2π2)o,repeat.(2,#.2π2)o)o . (id,id.2π2)o . id . id . id

after applying RemoveIds1

( + )* . zip2 . (select.(2π1.2π1,2π2)o,repeat.(2,#.2π2)o)o . (id,2π2)o . id . id . id

after applying RightAssoc2

( + )* . zip2 . (select.(2π1.2π1,2π2)o,repeat.(2,#.2π2)o)o . (id,2π2)o . id . id . id

after applying CompIntoAlltup1

( + )* . zip2 . (select.(2π1.2π1,2π2)o.(id,2π2)o,repeat.(2,#.2π2)o.(id,2π2)o)o . id . id . id

after applying RightAssoc2

( + )* . zip2 . (select.(2π1.2π1,2π2)o.(id,2π2)o,repeat.(2,#.2π2)o.(id,2π2)o)o . id . id . id

after applying CompIntoAlltup1

( + )* . zip2 . (select.(2π1.2π1.(id,2π2)o,2π2.(id,2π2)o)o,repeat.(2,#.2π2)o.(id,2π2)o)o . id . id . id

after applying RightAssoc2

( + )* . zip2 . (select.(2π1.2π1.(id,2π2)o,2π2.(id,2π2)o)o,repeat.(2,#.2π2)o.(id,2π2)o)o . id . id . id

after applying CompIntoAlltup1

( + )* . zip2 . (select.(2π1.2π1.(id,2π2)o,2π2.(id,2π2)o)o,repeat.(2.(id,2π2)o,#.2π2.(id,2π2)o)o)o . id . id . id

after applying RightAssoc2

( + )* . zip2 . (select.(2π1.2π1.(id,2π2)o,2π2.(id,2π2)o)o,repeat.(2.(id,2π2)o,#.2π2.(id,2π2)o)o)o . id . id . id

after applying AddrIntoAlltup

( + )* . zip2 . (select.(2π1.id,2π2.(id,2π2)o)o,repeat.(2.(id,2π2)o,#.2π2.(id,2π2)o)o)o . id . id . id

after applying RemoveIds2

( + )* . zip2 . (select.(2π1,2π2.(id,2π2)o)o,repeat.(2.(id,2π2)o,#.2π2.(id,2π2)o)o)o . id . id . id

after applying AddrIntoAlltup

( + )* . zip2 . (select.(2π1,2π2)o,repeat.(2.(id,2π2)o,#.2π2.(id,2π2)o)o)o . id . id . id

after applying AlltupId

( + )* . zip2 . (select.id,repeat.(2.(id,2π2)o,#.2π2.(id,2π2)o)o)o . id . id . id

after applying RemoveIds2

( + )* . zip2 . (select,repeat.(2.(id,2π2)o,#.2π2.(id,2π2)o)o)o . id . id . id

after applying ConAsorb

( + )* . zip2 . (select,repeat.(2,#.2π2.(id,2π2)o)o)o . id . id . id

after applying RightAssoc2

( + )* . zip2 . (select,repeat.(2,#.2π2.(id,2π2)o)o)o . id . id . id

after applying AddrIntoAlltup

( + )* . zip2 . (select,repeat.(2,#.2π2)o)o . id . id . id

after applying RemoveIds1

( + )* . zip2 . (select,repeat.(2,#.2π2)o)o . id . id

after applying RightAssoc2

( + )* . zip2 . (select,repeat.(2,#.2π2)o)o . id . id

after applying CompIntoAlltup1

( + )* . zip2 . (select.id,repeat.(2,#.2π2)o.id)o . id

after applying RightAssoc2

( + )* . zip2 . (select.id,repeat.(2,#.2π2)o.id)o . id

after applying CompIntoAlltup1

( + )* . zip2 . (select.id,repeat.(2.id,#.2π2.id)o)o . id

after applying RemoveIds2

( + )* . zip2 . (select,repeat.(2.id,#.2π2.id)o)o . id

after applying ConAsorb

( + )* . zip2 . (select,repeat.(2,#.2π2.id)o)o . id

after applying RightAssoc2

( + )* . zip2 . (select,repeat.(2,#.2π2.id)o)o . id

after applying RemoveIds2

( + )* . zip2 . (select,repeat.(2,#.2π2)o)o . id

after applying RightAssoc2

( + )* . zip2 . (select,repeat.(2,#.2π2)o)o . id

after applying CompIntoAlltup1

( + )* . zip2 . (select.id,repeat.(2,#.2π2)o.id)o

after applying RightAssoc2

( + )* . zip2 . (select.id,repeat.(2,#.2π2)o.id)o

after applying CompIntoAlltup1

( + )* . zip2 . (select.id,repeat.(2.id,#.2π2.id)o)o

after applying RemoveIds2

( + )* . zip2 . (select,repeat.(2.id,#.2π2.id)o)o

after applying ConAsorb

( + )* . zip2 . (select,repeat.(2,#.2π2.id)o)o

after applying RightAssoc2

( + )* . zip2 . (select,repeat.(2,#.2π2.id)o)o

after applying RemoveIds2

( + )* . zip2 . (select,repeat.(2,#.2π2)o)o

end trace