Haskell, score: (22265536-3)/1000000 ≈ 2↑↑7 ≈ 10↑↑4.6329710779
o=round$sin pi
i=succ o
q=i+i+i+i
m!n|m==o=n+i
|n==o=(m-i)!i
|True=(m-i)!(m!(n-i))
main=print$q!q
o=round$sin pi
i=succ o
q=i+i+i+i
m!n|m==o=n+i
|n==o=(m-i)!i
|True=(m-i)!(m!(n-i))
main=print$q!q
This program is exactly 100 bytes of pure Haskell code. It will print the fourth Ackermann number, eventually consuming all available energy, matter and time of the Universe and beyond in the process (thus slightly exceeding the soft limit of 5 seconds).