 i   num  size  actual c_i   Phi before  Phi after  amortized a_i  running total
  1     1     1           1            0          1              2              1
  2     2     2           2            1          2              3              3
  3     3     4           3            2          2              3              6
  4     4     4           1            2          4              3              7
  5     5     8           5            4          2              3             12
  6     6     8           1            2          4              3             13
  7     7     8           1            4          6              3             14
  8     8     8           1            6          8              3             15
  9     9    16           9            8          2              3             24
 10    10    16           1            2          4              3             25
 11    11    16           1            4          6              3             26
 12    12    16           1            6          8              3             27
 13    13    16           1            8         10              3             28
 14    14    16           1           10         12              3             29
 15    15    16           1           12         14              3             30
 16    16    16           1           14         16              3             31
 17    17    32          17           16          2              3             48

n = 1000000 insertions into a table that starts empty:
  expansions performed   = 20
  total actual cost      = 2048575
  aggregate bound 3n     = 3000000
  measured cost per insert = 2.048575
  final num = 1000000, final size = 1048576, final potential = 951424
