We present a highly optimized implementation of tiered vectors, a data
structure for maintaining a sequence of n elements supporting access in time
O(1) and insertion and deletion in time O(nϵ) for ϵ>0
while using o(n) extra space. We consider several different implementation
optimizations in C++ and compare their performance to that of vector and
multiset from the standard library on sequences with up to 108 elements. Our
fastest implementation uses much less space than multiset while providing
speedups of 40× for access operations compared to multiset and speedups
of 10.000× compared to vector for insertion and deletion operations
while being competitive with both data structures for all other operations