./random-walk.pl -benchmark -dimensions=2 -steps=5 -iterate -show_coords_freq -show_directions -show_distances -show_stepped_ons
Starting Random Walk at 2015_10_06_17:30:46.890
Parameters are 2 dimensions (which has 4 directions) and 5 steps ...
Running 1024 iterations - this can take a while ...


Frequency    Stepped Ons
      400    1-1-1-1-1
      176    1-1-1-1-2
      144    1-1-2-1-1
       96    1-1-1-2-2
       96    1-1-1-2-1
       48    1-1-2-1-3
       48    1-1-2-2-1
       16    1-1-2-2-3
     1024    Total Routes
      336    Returned to orgin which is 32%


Frequency    Coordinate
      500    (0,-1)
      500    (1,0)
      500    (0,1)
      500    (-1,0)
      400    (0,0)
      224    (-1,1)
      224    (1,1)
      224    (1,-1)
      224    (-1,-1)
      128    (-2,0)
      128    (0,2)
      128    (2,0)
      128    (0,-2)
       98    (-2,1)
       98    (1,2)
       98    (-1,-2)
       98    (2,1)
       98    (-2,-1)
       98    (1,-2)
       98    (2,-1)
       98    (-1,2)
       41    (-3,0)
       41    (0,-3)
       41    (0,3)
       41    (3,0)
       24    (-2,-2)
       24    (2,-2)
       24    (-2,2)
       24    (2,2)
       16    (-3,1)
       16    (-1,3)
       16    (-3,-1)
       16    (1,-3)
       16    (3,1)
       16    (3,-1)
       16    (1,3)
       16    (-1,-3)
       10    (-3,-2)
       10    (3,2)
       10    (3,-2)
       10    (-3,2)
       10    (-2,-3)
       10    (2,-3)
       10    (-2,3)
       10    (2,3)
        5    (1,4)
        5    (-1,-4)
        5    (4,-1)
        5    (-4,1)
        5    (-4,-1)
        5    (4,1)
        5    (1,-4)
        5    (-1,4)
        4    (0,-4)
        4    (4,0)
        4    (0,4)
        4    (-4,0)
        1    (-5,0)
        1    (5,0)
        1    (0,5)
        1    (0,-5)


Direction    Frequency
        1         1280
        2         1280
        3         1280
        4         1280


 Distance    Frequency    Cumulative
        0          400    
        1         2400    10%
        2         3808    50%
        3         4852    90%
        4         5076    
        5         5120    100%


For Random Walk of 2 dimensions and 5 steps,
distance at which N percent of coordinates are contained
        1           10%
        2           50%
        3           90%
        5          100%


Timing Data dumped at 2015_10_06_17:30:46.910
000_start :                   0.000 wallclock secs ( 0.00 usr +  0.00 sys =  0.00 CPU)
101_end_of_program :          0.019 wallclock secs ( 0.02 usr +  0.00 sys =  0.02 CPU)
999_end :                     0.019 wallclock secs ( 0.02 usr +  0.00 sys =  0.02 CPU)