./random-walk.pl -benchmark -dimensions=2 -steps=4 -iterate -show_coords_freq -show_directions -show_distances -show_stepped_ons
Starting Random Walk at 2015_10_06_17:30:46.851
Parameters are 2 dimensions (which has 4 directions) and 4 steps ...
Running 256 iterations - this can take a while ...


Frequency    Stepped Ons
      144    1-1-1-1
       48    1-1-2-1
       48    1-1-1-2
       16    1-1-2-2
      256    Total Routes
       84    Returned to orgin which is 32%


Frequency    Coordinate
      100    (0,-1)
      100    (1,0)
      100    (0,1)
      100    (0,0)
      100    (-1,0)
       56    (-1,1)
       56    (1,1)
       56    (1,-1)
       56    (-1,-1)
       32    (-2,0)
       32    (0,2)
       32    (2,0)
       32    (0,-2)
       12    (-2,1)
       12    (1,2)
       12    (-1,-2)
       12    (2,1)
       12    (-2,-1)
       12    (1,-2)
       12    (2,-1)
       12    (-1,2)
        6    (-2,-2)
        6    (2,-2)
        6    (-2,2)
        6    (2,2)
        4    (-3,0)
        4    (0,-3)
        4    (0,3)
        4    (-3,1)
        4    (3,0)
        4    (-1,3)
        4    (-3,-1)
        4    (1,-3)
        4    (3,1)
        4    (3,-1)
        4    (1,3)
        4    (-1,-3)
        1    (0,-4)
        1    (4,0)
        1    (0,4)
        1    (-4,0)


Direction    Frequency
        1          256
        2          256
        3          256
        4          256


 Distance    Frequency    Cumulative
        0          100    
        1          500    10%
        2          852    50%
        3          988    90%
        4         1024    100%


For Random Walk of 2 dimensions and 4 steps,
distance at which N percent of coordinates are contained
        1           10%
        2           50%
        3           90%
        4          100%


Timing Data dumped at 2015_10_06_17:30:46.856
000_start :                   0.000 wallclock secs ( 0.00 usr +  0.00 sys =  0.00 CPU)
101_end_of_program :          0.004 wallclock secs ( 0.01 usr +  0.00 sys =  0.01 CPU)
999_end :                     0.004 wallclock secs ( 0.01 usr +  0.00 sys =  0.01 CPU)