DA Algorithm

In [26]:

    

include("da.jl")


    

    
Out[26]:





DA

In [2]:

    

m, n = 100, 100
m_prefs, f_prefs = DA.generate_random_preference_data(m, n)
DA.check_data(m_prefs, f_prefs)


    

    
Out[2]:





true

In [5]:

    

m_matched, f_matched = DA.call_match(m_prefs, f_prefs)
DA.check_results(m_matched, f_matched)


    

    
Out[5]:





true

In [25]:

    

DA.stable_matching(m_matched, f_matched, m_prefs, f_prefs)


    

    
Out[25]:





true

In [27]:

    

DA.stable_matching([1 2], [1 2], [2 1; 1 2; 0 0], [2 1; 1 2; 0 0])


    

    
Out[27]:





false

In [16]:

    

transpose(m_matched)


    

    
Out[16]:





1x100 Array{Int64,2}:
 90  21  31  20  38  73  96  22  27  61  …  80  44  62  7  9  69  33  66  41

In [17]:

    

transpose(f_matched)


    

    
Out[17]:





1x100 Array{Int64,2}:
 63  67  0  23  90  21  6  86  5  32  …  13  0  24  83  94  48  17  79  34

In [5]:

    

m, n = 100, 100
m_prefs, f_prefs = DA.generate_random_preference_data(m, n)
DA.check_data(m_prefs, f_prefs)

m_matched, f_matched = DA.call_simple_match(m_prefs, f_prefs)
DA.check_results(m_matched, f_matched)
DA.stable_matching(m_matched, f_matched, m_prefs, f_prefs)


    

    
Out[5]:





true

In [2]:

    

deferred_acceptance = DA.call_match
include("test_deferred_acceptance.jl")
println()


    

    




Test Summary: | Pass  Total
Testing da.jl |    4      4







    




WARNING: replacing module DA

In [2]:

    

deferred_acceptance = (x, y) -> DA.call_match(x, y, true)
include("test_deferred_acceptance.jl")
println()


    

    




Test Summary: | Pass  Total
Testing da.jl |    4      4







    




WARNING: replacing module DA

In [4]:

    

deferred_accpetance = DA.call_simple_match
include("test_deferred_acceptance.jl")
println()


    

    




Test Summary: | Pass  Total
Testing da.jl |    4      4







    




WARNING: redefining constant file_name
WARNING: redefining constant function_name
WARNING: replacing module DA

In [6]:

    

function speedtest1(m, n, l, rec)
    m_prefs, f_prefs = DA.generate_random_preference_data(m, n)
    for i in 1:l
        DA.call_match(m_prefs, f_prefs, rec)
    end
end


    

    
Out[6]:





speedtest1 (generic function with 1 method)

In [9]:

    

@time speedtest1(10, 10, 1000, true)
@time speedtest1(10, 10, 1000, false)
@time speedtest1(100, 100, 100, true)
@time speedtest1(100, 100, 100, false)


    

    




  0.008510 seconds (104.07 k allocations: 8.050 MB, 15.10% gc time)
  0.004992 seconds (75.07 k allocations: 5.960 MB)
  0.061316 seconds (235.61 k allocations: 97.252 MB, 7.98% gc time)
  0.047922 seconds (188.11 k allocations: 75.882 MB, 10.25% gc time)

In [10]:

    

for i in 1:40
    @time speedtest1(10*i, 10*i, 1000, false)
end


    

    




  0.004421 seconds (71.06 k allocations: 5.624 MB)
  0.037412 seconds (248.12 k allocations: 27.522 MB, 7.17% gc time)
  0.099779 seconds (521.18 k allocations: 81.949 MB, 22.67% gc time)
  0.133260 seconds (634.24 k allocations: 131.947 MB, 24.82% gc time)
  0.191103 seconds (855.30 k allocations: 216.210 MB, 27.00% gc time)
  0.310273 seconds (1.25 M allocations: 333.764 MB, 26.73% gc time)
  0.457669 seconds (1.62 M allocations: 497.376 MB, 27.68% gc time)
  0.692682 seconds (2.14 M allocations: 701.836 MB, 25.76% gc time)
  0.832984 seconds (2.29 M allocations: 840.361 MB, 26.24% gc time)
  0.878811 seconds (3.46 M allocations: 1.400 GB, 9.25% gc time)
  0.993192 seconds (2.74 M allocations: 1.256 GB, 30.86% gc time)
  1.367815 seconds (3.09 M allocations: 1.532 GB, 32.09% gc time)
  1.301243 seconds (2.55 M allocations: 1.312 GB, 30.13% gc time)
  2.237044 seconds (4.48 M allocations: 2.468 GB, 29.92% gc time)
  2.205013 seconds (4.70 M allocations: 2.874 GB, 31.66% gc time)
  2.086873 seconds (4.37 M allocations: 2.701 GB, 32.63% gc time)
  2.101123 seconds (4.19 M allocations: 2.788 GB, 31.85% gc time)
  2.567895 seconds (4.72 M allocations: 3.490 GB, 34.02% gc time)
  2.969407 seconds (5.13 M allocations: 3.732 GB, 31.52% gc time)
  3.714042 seconds (6.52 M allocations: 5.371 GB, 35.73% gc time)
  3.787283 seconds (6.32 M allocations: 5.131 GB, 33.18% gc time)
  4.514897 seconds (6.49 M allocations: 5.807 GB, 31.63% gc time)
  5.164590 seconds (7.76 M allocations: 7.152 GB, 34.44% gc time)
  5.747971 seconds (8.46 M allocations: 7.853 GB, 34.77% gc time)
  6.480615 seconds (8.99 M allocations: 8.347 GB, 24.20% gc time)
  6.782499 seconds (9.74 M allocations: 9.585 GB, 26.25% gc time)
  6.782342 seconds (8.88 M allocations: 8.910 GB, 23.63% gc time)
  8.031126 seconds (10.02 M allocations: 10.516 GB, 23.85% gc time)
 10.519969 seconds (11.87 M allocations: 12.479 GB, 20.23% gc time)
 11.867743 seconds (14.76 M allocations: 16.530 GB, 22.95% gc time)
 10.758971 seconds (12.08 M allocations: 13.944 GB, 23.81% gc time)
 15.402221 seconds (15.50 M allocations: 18.253 GB, 21.33% gc time)
 15.754614 seconds (15.44 M allocations: 18.548 GB, 20.83% gc time)
 14.622754 seconds (14.73 M allocations: 18.252 GB, 21.03% gc time)
 14.426842 seconds (16.11 M allocations: 20.856 GB, 23.57% gc time)
 13.807909 seconds (14.75 M allocations: 19.492 GB, 21.82% gc time)
 17.929274 seconds (20.84 M allocations: 28.949 GB, 24.73% gc time)
 18.154148 seconds (18.20 M allocations: 25.866 GB, 24.07% gc time)
 20.904895 seconds (18.72 M allocations: 26.485 GB, 20.84% gc time)
 19.857537 seconds (19.01 M allocations: 28.425 GB, 23.69% gc time)

In [6]:

    

k1 = "0.004421 seconds (71.06 k allocations: 5.624 MB)
  0.037412 seconds (248.12 k allocations: 27.522 MB, 7.17% gc time)
  0.099779 seconds (521.18 k allocations: 81.949 MB, 22.67% gc time)
  0.133260 seconds (634.24 k allocations: 131.947 MB, 24.82% gc time)
  0.191103 seconds (855.30 k allocations: 216.210 MB, 27.00% gc time)
  0.310273 seconds (1.25 M allocations: 333.764 MB, 26.73% gc time)
  0.457669 seconds (1.62 M allocations: 497.376 MB, 27.68% gc time)
  0.692682 seconds (2.14 M allocations: 701.836 MB, 25.76% gc time)
  0.832984 seconds (2.29 M allocations: 840.361 MB, 26.24% gc time)
  0.878811 seconds (3.46 M allocations: 1.400 GB, 9.25% gc time)
  0.993192 seconds (2.74 M allocations: 1.256 GB, 30.86% gc time)
  1.367815 seconds (3.09 M allocations: 1.532 GB, 32.09% gc time)
  1.301243 seconds (2.55 M allocations: 1.312 GB, 30.13% gc time)
  2.237044 seconds (4.48 M allocations: 2.468 GB, 29.92% gc time)
  2.205013 seconds (4.70 M allocations: 2.874 GB, 31.66% gc time)
  2.086873 seconds (4.37 M allocations: 2.701 GB, 32.63% gc time)
  2.101123 seconds (4.19 M allocations: 2.788 GB, 31.85% gc time)
  2.567895 seconds (4.72 M allocations: 3.490 GB, 34.02% gc time)
  2.969407 seconds (5.13 M allocations: 3.732 GB, 31.52% gc time)
  3.714042 seconds (6.52 M allocations: 5.371 GB, 35.73% gc time)
  3.787283 seconds (6.32 M allocations: 5.131 GB, 33.18% gc time)
  4.514897 seconds (6.49 M allocations: 5.807 GB, 31.63% gc time)
  5.164590 seconds (7.76 M allocations: 7.152 GB, 34.44% gc time)
  5.747971 seconds (8.46 M allocations: 7.853 GB, 34.77% gc time)
  6.480615 seconds (8.99 M allocations: 8.347 GB, 24.20% gc time)
  6.782499 seconds (9.74 M allocations: 9.585 GB, 26.25% gc time)
  6.782342 seconds (8.88 M allocations: 8.910 GB, 23.63% gc time)
  8.031126 seconds (10.02 M allocations: 10.516 GB, 23.85% gc time)
 10.519969 seconds (11.87 M allocations: 12.479 GB, 20.23% gc time)
 11.867743 seconds (14.76 M allocations: 16.530 GB, 22.95% gc time)
 10.758971 seconds (12.08 M allocations: 13.944 GB, 23.81% gc time)
 15.402221 seconds (15.50 M allocations: 18.253 GB, 21.33% gc time)
 15.754614 seconds (15.44 M allocations: 18.548 GB, 20.83% gc time)
 14.622754 seconds (14.73 M allocations: 18.252 GB, 21.03% gc time)
 14.426842 seconds (16.11 M allocations: 20.856 GB, 23.57% gc time)
 13.807909 seconds (14.75 M allocations: 19.492 GB, 21.82% gc time)
 17.929274 seconds (20.84 M allocations: 28.949 GB, 24.73% gc time)
 18.154148 seconds (18.20 M allocations: 25.866 GB, 24.07% gc time)
 20.904895 seconds (18.72 M allocations: 26.485 GB, 20.84% gc time)
 19.857537 seconds (19.01 M allocations: 28.425 GB, 23.69% gc time)"

function get_seconds(s::AbstractString)
    return matchall(r"\d+\.\d{6}", s)
end


    

    
Out[6]:





get_seconds (generic function with 1 method)

In [22]:

    

using PyPlot

plot(get_seconds(k1))


    

    













    
Out[22]:





1-element Array{Any,1}:
 PyObject <matplotlib.lines.Line2D object at 0x3229b4d68>

In [13]:

    

for i in 1:40
    @time speedtest1(1*i, 1*i, 1000, false)
end


    

    




  0.000931 seconds (14.01 k allocations: 750.563 KB)
  0.000957 seconds (18.02 k allocations: 985.500 KB)
  0.001312 seconds (24.02 k allocations: 1.299 MB)
  0.001952 seconds (35.03 k allocations: 2.001 MB)
  0.002749 seconds (46.03 k allocations: 2.719 MB)
  0.003422 seconds (56.04 k allocations: 3.636 MB)
  0.004385 seconds (63.05 k allocations: 4.048 MB)
  0.007769 seconds (63.05 k allocations: 4.630 MB, 49.62% gc time)
  0.004949 seconds (71.06 k allocations: 5.210 MB)
  0.004288 seconds (65.06 k allocations: 5.258 MB)
  0.006425 seconds (85.07 k allocations: 6.617 MB)
  0.007728 seconds (74.08 k allocations: 6.481 MB, 31.38% gc time)
  0.007383 seconds (105.08 k allocations: 9.336 MB)
  0.015663 seconds (160.09 k allocations: 14.709 MB, 20.79% gc time)
  0.022754 seconds (169.09 k allocations: 15.610 MB, 29.25% gc time)
  0.019703 seconds (198.10 k allocations: 19.336 MB)
  0.019738 seconds (134.10 k allocations: 13.691 MB, 28.81% gc time)
  0.022365 seconds (181.11 k allocations: 18.851 MB, 24.45% gc time)
  0.033865 seconds (245.12 k allocations: 25.673 MB, 16.76% gc time)
  0.030471 seconds (244.12 k allocations: 27.248 MB, 17.19% gc time)
  0.046028 seconds (262.13 k allocations: 29.965 MB, 25.92% gc time)
  0.024981 seconds (201.13 k allocations: 23.926 MB, 21.84% gc time)
  0.035885 seconds (296.14 k allocations: 35.082 MB, 16.36% gc time)
  0.062064 seconds (410.15 k allocations: 63.610 MB, 24.60% gc time)
  0.051262 seconds (316.15 k allocations: 48.902 MB, 29.87% gc time)
  0.024780 seconds (172.16 k allocations: 27.786 MB, 25.54% gc time)
  0.039818 seconds (293.17 k allocations: 46.725 MB, 25.64% gc time)
  0.074092 seconds (453.17 k allocations: 67.174 MB, 20.40% gc time)
  0.097192 seconds (515.18 k allocations: 78.498 MB, 22.08% gc time)
  0.056652 seconds (370.18 k allocations: 59.198 MB, 18.52% gc time)
  0.066648 seconds (368.19 k allocations: 57.338 MB, 26.43% gc time)
  0.072351 seconds (404.19 k allocations: 74.438 MB, 23.31% gc time)
  0.072605 seconds (383.20 k allocations: 71.191 MB, 28.22% gc time)
  0.103042 seconds (535.21 k allocations: 96.584 MB, 23.62% gc time)
  0.198075 seconds (765.21 k allocations: 139.647 MB, 21.58% gc time)
  0.087888 seconds (421.22 k allocations: 74.342 MB, 25.63% gc time)
  0.128518 seconds (531.23 k allocations: 99.827 MB, 21.67% gc time)
  0.176163 seconds (554.23 k allocations: 102.744 MB, 20.51% gc time)
  0.189753 seconds (697.24 k allocations: 122.507 MB, 19.74% gc time)
  0.149114 seconds (729.24 k allocations: 146.580 MB, 22.64% gc time)

In [21]:

    

k2 = " 0.000931 seconds (14.01 k allocations: 750.563 KB)
  0.000957 seconds (18.02 k allocations: 985.500 KB)
  0.001312 seconds (24.02 k allocations: 1.299 MB)
  0.001952 seconds (35.03 k allocations: 2.001 MB)
  0.002749 seconds (46.03 k allocations: 2.719 MB)
  0.003422 seconds (56.04 k allocations: 3.636 MB)
  0.004385 seconds (63.05 k allocations: 4.048 MB)
  0.007769 seconds (63.05 k allocations: 4.630 MB, 49.62% gc time)
  0.004949 seconds (71.06 k allocations: 5.210 MB)
  0.004288 seconds (65.06 k allocations: 5.258 MB)
  0.006425 seconds (85.07 k allocations: 6.617 MB)
  0.007728 seconds (74.08 k allocations: 6.481 MB, 31.38% gc time)
  0.007383 seconds (105.08 k allocations: 9.336 MB)
  0.015663 seconds (160.09 k allocations: 14.709 MB, 20.79% gc time)
  0.022754 seconds (169.09 k allocations: 15.610 MB, 29.25% gc time)
  0.019703 seconds (198.10 k allocations: 19.336 MB)
  0.019738 seconds (134.10 k allocations: 13.691 MB, 28.81% gc time)
  0.022365 seconds (181.11 k allocations: 18.851 MB, 24.45% gc time)
  0.033865 seconds (245.12 k allocations: 25.673 MB, 16.76% gc time)
  0.030471 seconds (244.12 k allocations: 27.248 MB, 17.19% gc time)
  0.046028 seconds (262.13 k allocations: 29.965 MB, 25.92% gc time)
  0.024981 seconds (201.13 k allocations: 23.926 MB, 21.84% gc time)
  0.035885 seconds (296.14 k allocations: 35.082 MB, 16.36% gc time)
  0.062064 seconds (410.15 k allocations: 63.610 MB, 24.60% gc time)
  0.051262 seconds (316.15 k allocations: 48.902 MB, 29.87% gc time)
  0.024780 seconds (172.16 k allocations: 27.786 MB, 25.54% gc time)
  0.039818 seconds (293.17 k allocations: 46.725 MB, 25.64% gc time)
  0.074092 seconds (453.17 k allocations: 67.174 MB, 20.40% gc time)
  0.097192 seconds (515.18 k allocations: 78.498 MB, 22.08% gc time)
  0.056652 seconds (370.18 k allocations: 59.198 MB, 18.52% gc time)
  0.066648 seconds (368.19 k allocations: 57.338 MB, 26.43% gc time)
  0.072351 seconds (404.19 k allocations: 74.438 MB, 23.31% gc time)
  0.072605 seconds (383.20 k allocations: 71.191 MB, 28.22% gc time)
  0.103042 seconds (535.21 k allocations: 96.584 MB, 23.62% gc time)
  0.198075 seconds (765.21 k allocations: 139.647 MB, 21.58% gc time)
  0.087888 seconds (421.22 k allocations: 74.342 MB, 25.63% gc time)
  0.128518 seconds (531.23 k allocations: 99.827 MB, 21.67% gc time)
  0.176163 seconds (554.23 k allocations: 102.744 MB, 20.51% gc time)
  0.189753 seconds (697.24 k allocations: 122.507 MB, 19.74% gc time)
  0.149114 seconds (729.24 k allocations: 146.580 MB, 22.64% gc time)"

plot(get_seconds(k2))
legend()


    

In [3]:

    

function speedtest2(m, n, l)
    m_prefs, f_prefs = DA.generate_random_preference_data(m, n)
    for i in 1:l
        DA.call_simple_match(m_prefs, f_prefs)
    end
end


    

    
Out[3]:





speedtest2 (generic function with 1 method)

In [25]:

    

@time speedtest2(10, 10, 1000)
@time speedtest2(50, 50, 1000)
@time speedtest2(100, 100, 1000)
@time speedtest2(150, 150, 1000)
@time speedtest2(200, 200, 1000)
@time speedtest2(250, 250, 1000)
@time speedtest2(300, 300, 1000)


    

    




  0.014245 seconds (135.07 k allocations: 11.316 MB, 38.51% gc time)
  0.240136 seconds (1.80 M allocations: 479.303 MB, 13.51% gc time)
  1.246197 seconds (4.97 M allocations: 2.110 GB, 26.12% gc time)
  3.106522 seconds (7.13 M allocations: 4.570 GB, 38.96% gc time)
  8.143171 seconds (14.36 M allocations: 12.194 GB, 39.38% gc time)
 10.232993 seconds (16.44 M allocations: 16.173 GB, 32.66% gc time)
 16.158505 seconds (24.54 M allocations: 28.712 GB, 30.88% gc time)

In [26]:

    

@time speedtest1(10, 10, 1000, false)
@time speedtest1(50, 50, 1000, false)
@time speedtest1(100, 100, 1000, false)
@time speedtest1(150, 150, 1000, false)
@time speedtest1(200, 200, 1000, false)
@time speedtest1(250, 250, 1000, false)
@time speedtest1(300, 300, 1000, false)


    

    




  0.012600 seconds (92.07 k allocations: 7.043 MB, 30.42% gc time)
  0.119666 seconds (787.31 k allocations: 201.074 MB, 9.79% gc time)
  0.679825 seconds (2.23 M allocations: 927.489 MB, 21.45% gc time)
  1.786538 seconds (3.14 M allocations: 1.890 GB, 30.68% gc time)
  3.544882 seconds (5.64 M allocations: 4.535 GB, 32.97% gc time)
  6.438534 seconds (8.78 M allocations: 8.235 GB, 26.43% gc time)
  8.091873 seconds (9.68 M allocations: 10.706 GB, 22.88% gc time)

In [144]:

    

plot(get_seconds("0.014245 seconds (135.07 k allocations: 11.316 MB, 38.51% gc time)
  0.240136 seconds (1.80 M allocations: 479.303 MB, 13.51% gc time)
  1.246197 seconds (4.97 M allocations: 2.110 GB, 26.12% gc time)
  3.106522 seconds (7.13 M allocations: 4.570 GB, 38.96% gc time)
  8.143171 seconds (14.36 M allocations: 12.194 GB, 39.38% gc time)
 10.232993 seconds (16.44 M allocations: 16.173 GB, 32.66% gc time)
16.158505 seconds (24.54 M allocations: 28.712 GB, 30.88% gc time)"), label = "simple")
plot(get_seconds("  0.012600 seconds (92.07 k allocations: 7.043 MB, 30.42% gc time)
  0.119666 seconds (787.31 k allocations: 201.074 MB, 9.79% gc time)
  0.679825 seconds (2.23 M allocations: 927.489 MB, 21.45% gc time)
  1.786538 seconds (3.14 M allocations: 1.890 GB, 30.68% gc time)
  3.544882 seconds (5.64 M allocations: 4.535 GB, 32.97% gc time)
  6.438534 seconds (8.78 M allocations: 8.235 GB, 26.43% gc time)
8.091873 seconds (9.68 M allocations: 10.706 GB, 22.88% gc time)"), label = "normal")
legend()


    

    













    
Out[144]:





PyObject <matplotlib.legend.Legend object at 0x3202729e8>

In [13]:

    

for i in 1:40
    @time speedtest1(10*i, 10*i, 1000, false)
end


    

    




  0.013687 seconds (92.06 k allocations: 7.226 MB)
  0.058758 seconds (197.13 k allocations: 20.595 MB, 20.35% gc time)
  0.056876 seconds (314.18 k allocations: 40.490 MB, 17.28% gc time)
  0.098616 seconds (502.24 k allocations: 72.133 MB, 16.36% gc time)
  0.147537 seconds (660.30 k allocations: 105.889 MB, 11.82% gc time)
  0.150112 seconds (758.37 k allocations: 132.577 MB, 16.39% gc time)
  0.215729 seconds (974.42 k allocations: 179.978 MB, 16.46% gc time)
  0.340091 seconds (1.50 M allocations: 251.397 MB, 11.37% gc time)
  0.359890 seconds (1.89 M allocations: 318.328 MB, 13.88% gc time)
  0.382034 seconds (1.74 M allocations: 349.349 MB, 15.41% gc time)
  0.402355 seconds (1.69 M allocations: 399.832 MB, 16.97% gc time)
  0.471069 seconds (2.01 M allocations: 476.572 MB, 16.98% gc time)
  0.844814 seconds (2.66 M allocations: 582.390 MB, 12.74% gc time)
  0.638066 seconds (1.99 M allocations: 592.895 MB, 18.47% gc time)
  0.939131 seconds (3.14 M allocations: 755.757 MB, 15.80% gc time)
  2.077835 seconds (4.02 M allocations: 869.611 MB, 10.27% gc time)
  1.380199 seconds (3.12 M allocations: 890.686 MB, 16.30% gc time)
  1.455479 seconds (2.95 M allocations: 979.229 MB, 19.10% gc time)
  1.750106 seconds (4.07 M allocations: 1.095 GB, 13.67% gc time)
  1.771202 seconds (4.91 M allocations: 1.280 GB, 15.24% gc time)
  1.573289 seconds (4.71 M allocations: 1.326 GB, 17.05% gc time)
  1.611797 seconds (4.71 M allocations: 1.481 GB, 19.21% gc time)
  2.166091 seconds (5.48 M allocations: 1.607 GB, 16.41% gc time)
  2.323979 seconds (5.11 M allocations: 1.649 GB, 16.06% gc time)
  1.946263 seconds (5.22 M allocations: 1.759 GB, 14.44% gc time)
  2.750414 seconds (5.83 M allocations: 1.916 GB, 11.25% gc time)
  1.841744 seconds (4.29 M allocations: 1.921 GB, 15.72% gc time)
  2.726255 seconds (6.36 M allocations: 2.198 GB, 11.83% gc time)
  3.779822 seconds (9.24 M allocations: 2.539 GB, 9.01% gc time)
  3.140624 seconds (7.61 M allocations: 2.549 GB, 11.84% gc time)
  3.736348 seconds (6.74 M allocations: 2.619 GB, 10.90% gc time)
  3.082158 seconds (6.34 M allocations: 2.729 GB, 13.26% gc time)
  3.630857 seconds (7.52 M allocations: 2.962 GB, 12.96% gc time)
  4.041891 seconds (7.68 M allocations: 3.123 GB, 11.17% gc time)
  4.781519 seconds (8.48 M allocations: 3.336 GB, 10.73% gc time)
  4.502419 seconds (8.14 M allocations: 3.468 GB, 12.22% gc time)
  5.470003 seconds (11.34 M allocations: 3.870 GB, 10.31% gc time)
  6.241392 seconds (10.09 M allocations: 3.943 GB, 10.08% gc time)
  7.008831 seconds (11.93 M allocations: 4.251 GB, 9.33% gc time)
  6.944698 seconds (11.19 M allocations: 4.372 GB, 12.22% gc time)

In [10]:

    

using PyPlot


    

In [147]:

    

revs = get_seconds("0.013687 seconds (92.06 k allocations: 7.226 MB)
  0.058758 seconds (197.13 k allocations: 20.595 MB, 20.35% gc time)
  0.056876 seconds (314.18 k allocations: 40.490 MB, 17.28% gc time)
  0.098616 seconds (502.24 k allocations: 72.133 MB, 16.36% gc time)
  0.147537 seconds (660.30 k allocations: 105.889 MB, 11.82% gc time)
  0.150112 seconds (758.37 k allocations: 132.577 MB, 16.39% gc time)
  0.215729 seconds (974.42 k allocations: 179.978 MB, 16.46% gc time)
  0.340091 seconds (1.50 M allocations: 251.397 MB, 11.37% gc time)
  0.359890 seconds (1.89 M allocations: 318.328 MB, 13.88% gc time)
  0.382034 seconds (1.74 M allocations: 349.349 MB, 15.41% gc time)
  0.402355 seconds (1.69 M allocations: 399.832 MB, 16.97% gc time)
  0.471069 seconds (2.01 M allocations: 476.572 MB, 16.98% gc time)
  0.844814 seconds (2.66 M allocations: 582.390 MB, 12.74% gc time)
  0.638066 seconds (1.99 M allocations: 592.895 MB, 18.47% gc time)
  0.939131 seconds (3.14 M allocations: 755.757 MB, 15.80% gc time)
  2.077835 seconds (4.02 M allocations: 869.611 MB, 10.27% gc time)
  1.380199 seconds (3.12 M allocations: 890.686 MB, 16.30% gc time)
  1.455479 seconds (2.95 M allocations: 979.229 MB, 19.10% gc time)
  1.750106 seconds (4.07 M allocations: 1.095 GB, 13.67% gc time)
  1.771202 seconds (4.91 M allocations: 1.280 GB, 15.24% gc time)
  1.573289 seconds (4.71 M allocations: 1.326 GB, 17.05% gc time)
  1.611797 seconds (4.71 M allocations: 1.481 GB, 19.21% gc time)
  2.166091 seconds (5.48 M allocations: 1.607 GB, 16.41% gc time)
  2.323979 seconds (5.11 M allocations: 1.649 GB, 16.06% gc time)
  1.946263 seconds (5.22 M allocations: 1.759 GB, 14.44% gc time)
  2.750414 seconds (5.83 M allocations: 1.916 GB, 11.25% gc time)
  1.841744 seconds (4.29 M allocations: 1.921 GB, 15.72% gc time)
  2.726255 seconds (6.36 M allocations: 2.198 GB, 11.83% gc time)
  3.779822 seconds (9.24 M allocations: 2.539 GB, 9.01% gc time)
  3.140624 seconds (7.61 M allocations: 2.549 GB, 11.84% gc time)
  3.736348 seconds (6.74 M allocations: 2.619 GB, 10.90% gc time)
  3.082158 seconds (6.34 M allocations: 2.729 GB, 13.26% gc time)
  3.630857 seconds (7.52 M allocations: 2.962 GB, 12.96% gc time)
  4.041891 seconds (7.68 M allocations: 3.123 GB, 11.17% gc time)
  4.781519 seconds (8.48 M allocations: 3.336 GB, 10.73% gc time)
  4.502419 seconds (8.14 M allocations: 3.468 GB, 12.22% gc time)
  5.470003 seconds (11.34 M allocations: 3.870 GB, 10.31% gc time)
  6.241392 seconds (10.09 M allocations: 3.943 GB, 10.08% gc time)
  7.008831 seconds (11.93 M allocations: 4.251 GB, 9.33% gc time)
  6.944698 seconds (11.19 M allocations: 4.372 GB, 12.22% gc time)")
k1 = "0.004421 seconds (71.06 k allocations: 5.624 MB)
  0.037412 seconds (248.12 k allocations: 27.522 MB, 7.17% gc time)
  0.099779 seconds (521.18 k allocations: 81.949 MB, 22.67% gc time)
  0.133260 seconds (634.24 k allocations: 131.947 MB, 24.82% gc time)
  0.191103 seconds (855.30 k allocations: 216.210 MB, 27.00% gc time)
  0.310273 seconds (1.25 M allocations: 333.764 MB, 26.73% gc time)
  0.457669 seconds (1.62 M allocations: 497.376 MB, 27.68% gc time)
  0.692682 seconds (2.14 M allocations: 701.836 MB, 25.76% gc time)
  0.832984 seconds (2.29 M allocations: 840.361 MB, 26.24% gc time)
  0.878811 seconds (3.46 M allocations: 1.400 GB, 9.25% gc time)
  0.993192 seconds (2.74 M allocations: 1.256 GB, 30.86% gc time)
  1.367815 seconds (3.09 M allocations: 1.532 GB, 32.09% gc time)
  1.301243 seconds (2.55 M allocations: 1.312 GB, 30.13% gc time)
  2.237044 seconds (4.48 M allocations: 2.468 GB, 29.92% gc time)
  2.205013 seconds (4.70 M allocations: 2.874 GB, 31.66% gc time)
  2.086873 seconds (4.37 M allocations: 2.701 GB, 32.63% gc time)
  2.101123 seconds (4.19 M allocations: 2.788 GB, 31.85% gc time)
  2.567895 seconds (4.72 M allocations: 3.490 GB, 34.02% gc time)
  2.969407 seconds (5.13 M allocations: 3.732 GB, 31.52% gc time)
  3.714042 seconds (6.52 M allocations: 5.371 GB, 35.73% gc time)
  3.787283 seconds (6.32 M allocations: 5.131 GB, 33.18% gc time)
  4.514897 seconds (6.49 M allocations: 5.807 GB, 31.63% gc time)
  5.164590 seconds (7.76 M allocations: 7.152 GB, 34.44% gc time)
  5.747971 seconds (8.46 M allocations: 7.853 GB, 34.77% gc time)
  6.480615 seconds (8.99 M allocations: 8.347 GB, 24.20% gc time)
  6.782499 seconds (9.74 M allocations: 9.585 GB, 26.25% gc time)
  6.782342 seconds (8.88 M allocations: 8.910 GB, 23.63% gc time)
  8.031126 seconds (10.02 M allocations: 10.516 GB, 23.85% gc time)
 10.519969 seconds (11.87 M allocations: 12.479 GB, 20.23% gc time)
 11.867743 seconds (14.76 M allocations: 16.530 GB, 22.95% gc time)
 10.758971 seconds (12.08 M allocations: 13.944 GB, 23.81% gc time)
 15.402221 seconds (15.50 M allocations: 18.253 GB, 21.33% gc time)
 15.754614 seconds (15.44 M allocations: 18.548 GB, 20.83% gc time)
 14.622754 seconds (14.73 M allocations: 18.252 GB, 21.03% gc time)
 14.426842 seconds (16.11 M allocations: 20.856 GB, 23.57% gc time)
 13.807909 seconds (14.75 M allocations: 19.492 GB, 21.82% gc time)
 17.929274 seconds (20.84 M allocations: 28.949 GB, 24.73% gc time)
 18.154148 seconds (18.20 M allocations: 25.866 GB, 24.07% gc time)
 20.904895 seconds (18.72 M allocations: 26.485 GB, 20.84% gc time)
 19.857537 seconds (19.01 M allocations: 28.425 GB, 23.69% gc time)"

plot(get_seconds(k1), label="before")
plot(revs, label="after")
legend()


    

    













    
Out[147]:





PyObject <matplotlib.legend.Legend object at 0x315ab2198>

In [104]:

    

get_seconds2(s) = map(i -> parse(Float64, i), get_seconds(s))


    

    
Out[104]:





get_seconds2 (generic function with 1 method)

In [58]:

    

prefss = [DA.generate_random_preference_data(i*10, i*10) for i in 1:30]
prefss2 = [DA.generate_random_preference_data(i*10, i*10) for i in 1:30]
print()


    

In [59]:

    

for prefs in prefss
    @time DA.call_simple_match(prefs[1], prefs[2])
end
print()


    

    




  0.000061 seconds (46 allocations: 3.547 KB)
  0.000065 seconds (76 allocations: 9.469 KB)
  0.000156 seconds (106 allocations: 19.031 KB)
  0.000173 seconds (136 allocations: 32.641 KB)
  0.000317 seconds (167 allocations: 49.281 KB)
  0.000371 seconds (197 allocations: 65.453 KB)
  0.000525 seconds (227 allocations: 88.344 KB)
  0.000531 seconds (257 allocations: 112.109 KB)
  0.000866 seconds (287 allocations: 140.078 KB)
  0.000944 seconds (317 allocations: 171.203 KB)
  0.000643 seconds (347 allocations: 208.891 KB)
  0.000910 seconds (377 allocations: 246.578 KB)
  0.001028 seconds (407 allocations: 287.406 KB)
  0.001367 seconds (437 allocations: 331.313 KB)
  0.001895 seconds (467 allocations: 383.094 KB)
  0.002124 seconds (497 allocations: 421.016 KB)
  0.002138 seconds (527 allocations: 481.844 KB)
  0.003025 seconds (557 allocations: 549.594 KB)
  0.002201 seconds (587 allocations: 594.828 KB)
  0.001959 seconds (617 allocations: 676.328 KB)
  0.003388 seconds (647 allocations: 726.406 KB)
  0.002952 seconds (677 allocations: 826.391 KB)
  0.004581 seconds (707 allocations: 881.781 KB)
  0.003709 seconds (737 allocations: 938.734 KB)
  0.004778 seconds (767 allocations: 1012.922 KB)
  0.005388 seconds (797 allocations: 1.069 MB)
  0.009387 seconds (827 allocations: 1.151 MB)
  0.009082 seconds (857 allocations: 1.237 MB)
  0.010223 seconds (887 allocations: 1.325 MB)
  0.009350 seconds (917 allocations: 1.416 MB)

In [60]:

    

for prefs in prefss2
    @time DA.call_simple_match(prefs[1], prefs[2])
end
print()


    

    




  0.000062 seconds (46 allocations: 3.547 KB)
  0.000072 seconds (76 allocations: 9.469 KB)
  0.000095 seconds (106 allocations: 19.031 KB)
  0.000174 seconds (136 allocations: 32.641 KB)
  0.000215 seconds (167 allocations: 49.281 KB)
  0.000343 seconds (197 allocations: 65.453 KB)
  0.000502 seconds (227 allocations: 88.344 KB)
  0.000612 seconds (257 allocations: 112.109 KB)
  0.000670 seconds (287 allocations: 140.078 KB)
  0.000685 seconds (317 allocations: 171.203 KB)
  0.000786 seconds (347 allocations: 208.891 KB)
  0.001125 seconds (377 allocations: 246.578 KB)
  0.001506 seconds (407 allocations: 287.406 KB)
  0.001837 seconds (437 allocations: 331.313 KB)
  0.001571 seconds (467 allocations: 383.094 KB)
  0.002576 seconds (497 allocations: 421.016 KB)
  0.002097 seconds (527 allocations: 481.844 KB)
  0.002457 seconds (557 allocations: 549.594 KB)
  0.003104 seconds (587 allocations: 594.828 KB)
  0.002999 seconds (617 allocations: 676.328 KB)
  0.003713 seconds (647 allocations: 726.406 KB)
  0.003957 seconds (677 allocations: 826.391 KB)
  0.004147 seconds (707 allocations: 881.781 KB)
  0.004865 seconds (737 allocations: 938.734 KB)
  0.006430 seconds (767 allocations: 1012.922 KB)
  0.071584 seconds (797 allocations: 1.069 MB, 91.29% gc time)
  0.007282 seconds (827 allocations: 1.151 MB)
  0.006026 seconds (857 allocations: 1.237 MB)
  0.009872 seconds (887 allocations: 1.325 MB)
  0.009277 seconds (917 allocations: 1.416 MB)

In [105]:

    

s1 =  " 0.000061 seconds (46 allocations: 3.547 KB)
  0.000065 seconds (76 allocations: 9.469 KB)
  0.000156 seconds (106 allocations: 19.031 KB)
  0.000173 seconds (136 allocations: 32.641 KB)
  0.000317 seconds (167 allocations: 49.281 KB)
  0.000371 seconds (197 allocations: 65.453 KB)
  0.000525 seconds (227 allocations: 88.344 KB)
  0.000531 seconds (257 allocations: 112.109 KB)
  0.000866 seconds (287 allocations: 140.078 KB)
  0.000944 seconds (317 allocations: 171.203 KB)
  0.000643 seconds (347 allocations: 208.891 KB)
  0.000910 seconds (377 allocations: 246.578 KB)
  0.001028 seconds (407 allocations: 287.406 KB)
  0.001367 seconds (437 allocations: 331.313 KB)
  0.001895 seconds (467 allocations: 383.094 KB)
  0.002124 seconds (497 allocations: 421.016 KB)
  0.002138 seconds (527 allocations: 481.844 KB)
  0.003025 seconds (557 allocations: 549.594 KB)
  0.002201 seconds (587 allocations: 594.828 KB)
  0.001959 seconds (617 allocations: 676.328 KB)
  0.003388 seconds (647 allocations: 726.406 KB)
  0.002952 seconds (677 allocations: 826.391 KB)
  0.004581 seconds (707 allocations: 881.781 KB)
  0.003709 seconds (737 allocations: 938.734 KB)
  0.004778 seconds (767 allocations: 1012.922 KB)
  0.005388 seconds (797 allocations: 1.069 MB)
  0.009387 seconds (827 allocations: 1.151 MB)
  0.009082 seconds (857 allocations: 1.237 MB)
  0.010223 seconds (887 allocations: 1.325 MB)
  0.009350 seconds (917 allocations: 1.416 MB)"
s2 =  "0.000062 seconds (46 allocations: 3.547 KB)
  0.000072 seconds (76 allocations: 9.469 KB)
  0.000095 seconds (106 allocations: 19.031 KB)
  0.000174 seconds (136 allocations: 32.641 KB)
  0.000215 seconds (167 allocations: 49.281 KB)
  0.000343 seconds (197 allocations: 65.453 KB)
  0.000502 seconds (227 allocations: 88.344 KB)
  0.000612 seconds (257 allocations: 112.109 KB)
  0.000670 seconds (287 allocations: 140.078 KB)
  0.000685 seconds (317 allocations: 171.203 KB)
  0.000786 seconds (347 allocations: 208.891 KB)
  0.001125 seconds (377 allocations: 246.578 KB)
  0.001506 seconds (407 allocations: 287.406 KB)
  0.001837 seconds (437 allocations: 331.313 KB)
  0.001571 seconds (467 allocations: 383.094 KB)
  0.002576 seconds (497 allocations: 421.016 KB)
  0.002097 seconds (527 allocations: 481.844 KB)
  0.002457 seconds (557 allocations: 549.594 KB)
  0.003104 seconds (587 allocations: 594.828 KB)
  0.002999 seconds (617 allocations: 676.328 KB)
  0.003713 seconds (647 allocations: 726.406 KB)
  0.003957 seconds (677 allocations: 826.391 KB)
  0.004147 seconds (707 allocations: 881.781 KB)
  0.004865 seconds (737 allocations: 938.734 KB)
  0.006430 seconds (767 allocations: 1012.922 KB)
  0.071584 seconds (797 allocations: 1.069 MB, 91.29% gc time)
  0.007282 seconds (827 allocations: 1.151 MB)
  0.006026 seconds (857 allocations: 1.237 MB)
  0.009872 seconds (887 allocations: 1.325 MB)
  0.009277 seconds (917 allocations: 1.416 MB)"
s1 = get_seconds2(s1)
s2 = get_seconds2(s2)
print()


    

In [64]:

    

for prefs in prefss
    @time DA.call_match(prefs[1], prefs[2])
end
print()


    

    




  0.000334 seconds (92 allocations: 7.391 KB)
  0.000098 seconds (209 allocations: 22.000 KB)
  0.000192 seconds (423 allocations: 49.922 KB)
  0.000217 seconds (504 allocations: 73.922 KB)
  0.000347 seconds (819 allocations: 120.703 KB)
  0.000372 seconds (948 allocations: 150.406 KB)
  0.000408 seconds (1.25 k allocations: 205.672 KB)
  0.000417 seconds (1.25 k allocations: 237.719 KB)
  0.000669 seconds (1.85 k allocations: 322.969 KB)
  0.000754 seconds (1.95 k allocations: 373.938 KB)
  0.000564 seconds (1.51 k allocations: 394.578 KB)
  0.000814 seconds (1.90 k allocations: 478.047 KB)
  0.001072 seconds (2.08 k allocations: 550.656 KB)
  0.001338 seconds (2.44 k allocations: 641.516 KB)
  0.001461 seconds (3.32 k allocations: 786.797 KB)
  0.001478 seconds (3.48 k allocations: 846.953 KB)
  0.001751 seconds (3.57 k allocations: 945.766 KB)
  0.001740 seconds (4.03 k allocations: 1.061 MB)
  0.001684 seconds (3.47 k allocations: 1.074 MB)
  0.002708 seconds (3.18 k allocations: 1.177 MB)
  0.003021 seconds (5.34 k allocations: 1.405 MB)
  0.002511 seconds (4.49 k allocations: 1.498 MB)
  0.003007 seconds (4.89 k allocations: 1.598 MB)
  0.057599 seconds (5.12 k allocations: 1.687 MB, 95.02% gc time)
  0.004027 seconds (7.50 k allocations: 1.972 MB)
  0.003803 seconds (6.30 k allocations: 1.998 MB)
  0.005217 seconds (6.79 k allocations: 2.155 MB)
  0.005191 seconds (6.56 k allocations: 2.262 MB)
  0.007261 seconds (7.17 k allocations: 2.438 MB)
  0.009698 seconds (8.76 k allocations: 2.693 MB)

In [66]:

    

for prefs in prefss2
    @time DA.call_match(prefs[1], prefs[2])
end
print()


    

    




  0.000152 seconds (100 allocations: 8.016 KB)
  0.000079 seconds (226 allocations: 23.328 KB)
  0.000065 seconds (313 allocations: 41.328 KB)
  0.000139 seconds (492 allocations: 72.984 KB)
  0.000149 seconds (609 allocations: 104.297 KB)
  0.000210 seconds (865 allocations: 143.922 KB)
  0.000821 seconds (961 allocations: 183.016 KB)
  0.000368 seconds (1.29 k allocations: 240.141 KB)
  0.000292 seconds (1.31 k allocations: 280.547 KB)
  0.000356 seconds (1.40 k allocations: 331.359 KB)
  0.000439 seconds (1.51 k allocations: 394.969 KB)
  0.000598 seconds (2.11 k allocations: 494.688 KB)
  0.000552 seconds (2.12 k allocations: 553.703 KB)
  0.000609 seconds (2.58 k allocations: 652.219 KB)
  0.000451 seconds (2.06 k allocations: 688.438 KB)
  0.000724 seconds (3.22 k allocations: 826.641 KB)
  0.000622 seconds (2.40 k allocations: 854.438 KB)
  0.000857 seconds (2.99 k allocations: 1004.734 KB)
  0.000925 seconds (3.83 k allocations: 1.101 MB)
  0.000984 seconds (3.41 k allocations: 1.195 MB)
  0.001077 seconds (3.79 k allocations: 1.286 MB)
  0.002550 seconds (3.75 k allocations: 1.441 MB)
  0.001409 seconds (4.24 k allocations: 1.549 MB)
  0.006566 seconds (4.96 k allocations: 1.675 MB, 70.20% gc time)
  0.002900 seconds (7.43 k allocations: 1.967 MB)
  0.003138 seconds (5.65 k allocations: 1.948 MB)
  0.002964 seconds (7.36 k allocations: 2.198 MB)
  0.003244 seconds (5.51 k allocations: 2.183 MB)
  0.008754 seconds (7.48 k allocations: 2.462 MB)
  0.009590 seconds (8.63 k allocations: 2.683 MB)

In [106]:

    

n1 =  "  0.000334 seconds (92 allocations: 7.391 KB)
  0.000098 seconds (209 allocations: 22.000 KB)
  0.000192 seconds (423 allocations: 49.922 KB)
  0.000217 seconds (504 allocations: 73.922 KB)
  0.000347 seconds (819 allocations: 120.703 KB)
  0.000372 seconds (948 allocations: 150.406 KB)
  0.000408 seconds (1.25 k allocations: 205.672 KB)
  0.000417 seconds (1.25 k allocations: 237.719 KB)
  0.000669 seconds (1.85 k allocations: 322.969 KB)
  0.000754 seconds (1.95 k allocations: 373.938 KB)
  0.000564 seconds (1.51 k allocations: 394.578 KB)
  0.000814 seconds (1.90 k allocations: 478.047 KB)
  0.001072 seconds (2.08 k allocations: 550.656 KB)
  0.001338 seconds (2.44 k allocations: 641.516 KB)
  0.001461 seconds (3.32 k allocations: 786.797 KB)
  0.001478 seconds (3.48 k allocations: 846.953 KB)
  0.001751 seconds (3.57 k allocations: 945.766 KB)
  0.001740 seconds (4.03 k allocations: 1.061 MB)
  0.001684 seconds (3.47 k allocations: 1.074 MB)
  0.002708 seconds (3.18 k allocations: 1.177 MB)
  0.003021 seconds (5.34 k allocations: 1.405 MB)
  0.002511 seconds (4.49 k allocations: 1.498 MB)
  0.003007 seconds (4.89 k allocations: 1.598 MB)
  0.057599 seconds (5.12 k allocations: 1.687 MB, 95.02% gc time)
  0.004027 seconds (7.50 k allocations: 1.972 MB)
  0.003803 seconds (6.30 k allocations: 1.998 MB)
  0.005217 seconds (6.79 k allocations: 2.155 MB)
  0.005191 seconds (6.56 k allocations: 2.262 MB)
  0.007261 seconds (7.17 k allocations: 2.438 MB)
  0.009698 seconds (8.76 k allocations: 2.693 MB)"
n2 =  " 0.000152 seconds (100 allocations: 8.016 KB)
  0.000079 seconds (226 allocations: 23.328 KB)
  0.000065 seconds (313 allocations: 41.328 KB)
  0.000139 seconds (492 allocations: 72.984 KB)
  0.000149 seconds (609 allocations: 104.297 KB)
  0.000210 seconds (865 allocations: 143.922 KB)
  0.000821 seconds (961 allocations: 183.016 KB)
  0.000368 seconds (1.29 k allocations: 240.141 KB)
  0.000292 seconds (1.31 k allocations: 280.547 KB)
  0.000356 seconds (1.40 k allocations: 331.359 KB)
  0.000439 seconds (1.51 k allocations: 394.969 KB)
  0.000598 seconds (2.11 k allocations: 494.688 KB)
  0.000552 seconds (2.12 k allocations: 553.703 KB)
  0.000609 seconds (2.58 k allocations: 652.219 KB)
  0.000451 seconds (2.06 k allocations: 688.438 KB)
  0.000724 seconds (3.22 k allocations: 826.641 KB)
  0.000622 seconds (2.40 k allocations: 854.438 KB)
  0.000857 seconds (2.99 k allocations: 1004.734 KB)
  0.000925 seconds (3.83 k allocations: 1.101 MB)
  0.000984 seconds (3.41 k allocations: 1.195 MB)
  0.001077 seconds (3.79 k allocations: 1.286 MB)
  0.002550 seconds (3.75 k allocations: 1.441 MB)
  0.001409 seconds (4.24 k allocations: 1.549 MB)
  0.006566 seconds (4.96 k allocations: 1.675 MB, 70.20% gc time)
  0.002900 seconds (7.43 k allocations: 1.967 MB)
  0.003138 seconds (5.65 k allocations: 1.948 MB)
  0.002964 seconds (7.36 k allocations: 2.198 MB)
  0.003244 seconds (5.51 k allocations: 2.183 MB)
  0.008754 seconds (7.48 k allocations: 2.462 MB)
  0.009590 seconds (8.63 k allocations: 2.683 MB)"
n1 = get_seconds2(n1)
n2 = get_seconds2(n2)
print()


    

In [75]:

    

for prefs in prefss
    @time DA.call_match(prefs[1], prefs[2], true)
end
print()


    

    




  0.000068 seconds (92 allocations: 7.391 KB)
  0.000035 seconds (209 allocations: 22.000 KB)
  0.000063 seconds (423 allocations: 49.922 KB)
  0.000079 seconds (504 allocations: 73.922 KB)
  0.000136 seconds (819 allocations: 120.703 KB)
  0.000178 seconds (948 allocations: 150.406 KB)
  0.000204 seconds (1.25 k allocations: 205.672 KB)
  0.000205 seconds (1.25 k allocations: 237.719 KB)
  0.000344 seconds (1.85 k allocations: 322.969 KB)
  0.000415 seconds (1.95 k allocations: 373.938 KB)
  0.000327 seconds (1.51 k allocations: 394.578 KB)
  0.000563 seconds (1.90 k allocations: 478.047 KB)
  0.000571 seconds (2.08 k allocations: 550.656 KB)
  0.000832 seconds (2.44 k allocations: 641.516 KB)
  0.001060 seconds (3.32 k allocations: 786.797 KB)
  0.001185 seconds (3.48 k allocations: 846.953 KB)
  0.004882 seconds (3.57 k allocations: 945.766 KB, 80.88% gc time)
  0.001088 seconds (4.03 k allocations: 1.061 MB)
  0.000897 seconds (3.47 k allocations: 1.074 MB)
  0.000860 seconds (3.18 k allocations: 1.177 MB)
  0.001890 seconds (5.34 k allocations: 1.405 MB)
  0.001359 seconds (4.49 k allocations: 1.498 MB)
  0.001623 seconds (4.89 k allocations: 1.598 MB)
  0.002285 seconds (5.12 k allocations: 1.687 MB)
  0.002709 seconds (7.50 k allocations: 1.972 MB)
  0.002560 seconds (6.30 k allocations: 1.998 MB)
  0.004497 seconds (6.79 k allocations: 2.155 MB)
  0.003503 seconds (6.56 k allocations: 2.262 MB)
  0.004586 seconds (7.17 k allocations: 2.438 MB)
  0.006513 seconds (8.76 k allocations: 2.693 MB, 41.48% gc time)

In [76]:

    

for prefs in prefss2
    @time DA.call_match(prefs[1], prefs[2], true)
end
print()


    

    




  0.000062 seconds (100 allocations: 8.016 KB)
  0.000053 seconds (226 allocations: 23.328 KB)
  0.000066 seconds (313 allocations: 41.328 KB)
  0.000106 seconds (492 allocations: 72.984 KB)
  0.000142 seconds (609 allocations: 104.297 KB)
  0.000201 seconds (865 allocations: 143.922 KB)
  0.000239 seconds (961 allocations: 183.016 KB)
  0.000507 seconds (1.29 k allocations: 240.141 KB)
  0.000349 seconds (1.31 k allocations: 280.547 KB)
  0.000422 seconds (1.40 k allocations: 331.359 KB)
  0.000513 seconds (1.51 k allocations: 394.969 KB)
  0.000635 seconds (2.11 k allocations: 494.688 KB)
  0.000778 seconds (2.12 k allocations: 553.703 KB)
  0.000919 seconds (2.58 k allocations: 652.219 KB)
  0.000831 seconds (2.06 k allocations: 688.438 KB)
  0.001183 seconds (3.22 k allocations: 826.641 KB)
  0.001054 seconds (2.40 k allocations: 854.438 KB)
  0.001314 seconds (2.99 k allocations: 1004.734 KB)
  0.001537 seconds (3.83 k allocations: 1.101 MB)
  0.001691 seconds (3.41 k allocations: 1.195 MB)
  0.001940 seconds (3.79 k allocations: 1.286 MB)
  0.001943 seconds (3.75 k allocations: 1.441 MB)
  0.002052 seconds (4.24 k allocations: 1.549 MB)
  0.002619 seconds (4.96 k allocations: 1.675 MB)
  0.003852 seconds (7.43 k allocations: 1.967 MB)
  0.003359 seconds (5.65 k allocations: 1.948 MB)
  0.007033 seconds (7.36 k allocations: 2.198 MB, 37.46% gc time)
  0.003122 seconds (5.51 k allocations: 2.183 MB)
  0.005775 seconds (7.48 k allocations: 2.462 MB)
  0.013919 seconds (8.63 k allocations: 2.683 MB)

In [107]:

    

r1 = "0.000068 seconds (92 allocations: 7.391 KB)
  0.000035 seconds (209 allocations: 22.000 KB)
  0.000063 seconds (423 allocations: 49.922 KB)
  0.000079 seconds (504 allocations: 73.922 KB)
  0.000136 seconds (819 allocations: 120.703 KB)
  0.000178 seconds (948 allocations: 150.406 KB)
  0.000204 seconds (1.25 k allocations: 205.672 KB)
  0.000205 seconds (1.25 k allocations: 237.719 KB)
  0.000344 seconds (1.85 k allocations: 322.969 KB)
  0.000415 seconds (1.95 k allocations: 373.938 KB)
  0.000327 seconds (1.51 k allocations: 394.578 KB)
  0.000563 seconds (1.90 k allocations: 478.047 KB)
  0.000571 seconds (2.08 k allocations: 550.656 KB)
  0.000832 seconds (2.44 k allocations: 641.516 KB)
  0.001060 seconds (3.32 k allocations: 786.797 KB)
  0.001185 seconds (3.48 k allocations: 846.953 KB)
  0.004882 seconds (3.57 k allocations: 945.766 KB, 80.88% gc time)
  0.001088 seconds (4.03 k allocations: 1.061 MB)
  0.000897 seconds (3.47 k allocations: 1.074 MB)
  0.000860 seconds (3.18 k allocations: 1.177 MB)
  0.001890 seconds (5.34 k allocations: 1.405 MB)
  0.001359 seconds (4.49 k allocations: 1.498 MB)
  0.001623 seconds (4.89 k allocations: 1.598 MB)
  0.002285 seconds (5.12 k allocations: 1.687 MB)
  0.002709 seconds (7.50 k allocations: 1.972 MB)
  0.002560 seconds (6.30 k allocations: 1.998 MB)
  0.004497 seconds (6.79 k allocations: 2.155 MB)
  0.003503 seconds (6.56 k allocations: 2.262 MB)
  0.004586 seconds (7.17 k allocations: 2.438 MB)
  0.006513 seconds (8.76 k allocations: 2.693 MB, 41.48% gc time)"
r2 = "0.000062 seconds (100 allocations: 8.016 KB)
  0.000053 seconds (226 allocations: 23.328 KB)
  0.000066 seconds (313 allocations: 41.328 KB)
  0.000106 seconds (492 allocations: 72.984 KB)
  0.000142 seconds (609 allocations: 104.297 KB)
  0.000201 seconds (865 allocations: 143.922 KB)
  0.000239 seconds (961 allocations: 183.016 KB)
  0.000507 seconds (1.29 k allocations: 240.141 KB)
  0.000349 seconds (1.31 k allocations: 280.547 KB)
  0.000422 seconds (1.40 k allocations: 331.359 KB)
  0.000513 seconds (1.51 k allocations: 394.969 KB)
  0.000635 seconds (2.11 k allocations: 494.688 KB)
  0.000778 seconds (2.12 k allocations: 553.703 KB)
  0.000919 seconds (2.58 k allocations: 652.219 KB)
  0.000831 seconds (2.06 k allocations: 688.438 KB)
  0.001183 seconds (3.22 k allocations: 826.641 KB)
  0.001054 seconds (2.40 k allocations: 854.438 KB)
  0.001314 seconds (2.99 k allocations: 1004.734 KB)
  0.001537 seconds (3.83 k allocations: 1.101 MB)
  0.001691 seconds (3.41 k allocations: 1.195 MB)
  0.001940 seconds (3.79 k allocations: 1.286 MB)
  0.001943 seconds (3.75 k allocations: 1.441 MB)
  0.002052 seconds (4.24 k allocations: 1.549 MB)
  0.002619 seconds (4.96 k allocations: 1.675 MB)
  0.003852 seconds (7.43 k allocations: 1.967 MB)
  0.003359 seconds (5.65 k allocations: 1.948 MB)
  0.007033 seconds (7.36 k allocations: 2.198 MB, 37.46% gc time)
  0.003122 seconds (5.51 k allocations: 2.183 MB)
  0.005775 seconds (7.48 k allocations: 2.462 MB)
  0.013919 seconds (8.63 k allocations: 2.683 MB)"

r1 = get_seconds2(r1)
r2 = get_seconds2(r2)


    

    
Out[107]:





30-element Array{Float64,1}:
 6.2e-5  
 5.3e-5  
 6.6e-5  
 0.000106
 0.000142
 0.000201
 0.000239
 0.000507
 0.000349
 0.000422
 0.000513
 0.000635
 0.000778
 ⋮       
 0.001537
 0.001691
 0.00194 
 0.001943
 0.002052
 0.002619
 0.003852
 0.003359
 0.007033
 0.003122
 0.005775
 0.013919

In [108]:

    

plot(s1, label ="simple(1)")
plot(s2, label = "simple(2)")
plot(n1, label = "normal(1)")
plot(n2, label = "normal(2)")
plot(r1, label = "recursive(1)")
plot(r2, label = "recursive(2)")
legend()


    

    













    
Out[108]:





PyObject <matplotlib.legend.Legend object at 0x3218567b8>

In [112]:

    

s2[26] = 0
n1[24] = 0
xs = 10:10:300

plot(xs, s1, label ="simple(1)")
plot(xs, s2, label = "simple(2)")
plot(xs, n1, label = "normal(1)")
plot(xs, n2, label = "normal(2)")
plot(xs, r1, label = "recursive(1)")
plot(xs, r2, label = "recursive(2)")
legend()


    

    













    
Out[112]:





PyObject <matplotlib.legend.Legend object at 0x31d0dfa20>

In [140]:

    

prefss = [DA.generate_random_preference_data(i*10, i*10) for i in 30:100]
prefss2 = [DA.generate_random_preference_data(i*10, i*10) for i in 30:100]
print()


    

In [141]:

    

xs = 300:10:1000

labels = ["simple1", "simple2", "normal1", "normal2", "recursive1", "recursive2"]
fs = [DA.call_simple_match, DA.call_match, DA.call_match, (m, f) -> DA.call_match(m, f, true)]
for i in 1:3
    for (m, f) in prefss
        @time fs[i](m, f)
    end
    for (m, f) in prefss2
        @time fs[i](m, f)
    end
end


    

    




  0.009129 seconds (917 allocations: 1.416 MB)
  0.009274 seconds (947 allocations: 1.511 MB)
  0.007484 seconds (977 allocations: 1.608 MB)
  0.010769 seconds (1.01 k allocations: 1.709 MB)
  0.012465 seconds (1.04 k allocations: 1.813 MB)
  0.014293 seconds (1.07 k allocations: 1.919 MB)
  0.011384 seconds (1.10 k allocations: 2.029 MB)
  0.014248 seconds (1.13 k allocations: 2.142 MB)
  0.011885 seconds (1.16 k allocations: 2.258 MB)
  0.029350 seconds (1.19 k allocations: 2.377 MB)
  0.020161 seconds (1.22 k allocations: 2.499 MB)
  0.017643 seconds (1.25 k allocations: 2.624 MB)
  0.029638 seconds (1.28 k allocations: 2.752 MB)
  0.045103 seconds (1.31 k allocations: 2.883 MB)
  0.018109 seconds (1.34 k allocations: 3.017 MB)
  0.024426 seconds (1.37 k allocations: 3.154 MB)
  0.020370 seconds (1.40 k allocations: 3.294 MB)
  0.021987 seconds (1.43 k allocations: 3.438 MB)
  0.032624 seconds (1.46 k allocations: 3.584 MB)
  0.029399 seconds (1.49 k allocations: 3.734 MB)
  0.027961 seconds (1.52 k allocations: 3.886 MB)
  0.029888 seconds (1.55 k allocations: 4.041 MB)
  0.028471 seconds (7.86 k allocations: 4.296 MB)
  0.542545 seconds (8.24 k allocations: 4.463 MB, 93.79% gc time)
  0.026858 seconds (10.20 k allocations: 4.657 MB)
  0.028771 seconds (12.07 k allocations: 4.853 MB)
  0.024150 seconds (12.18 k allocations: 5.025 MB)
  0.051690 seconds (18.61 k allocations: 5.296 MB, 27.21% gc time)
  0.033867 seconds (14.94 k allocations: 5.417 MB)
  0.036329 seconds (20.13 k allocations: 5.675 MB)
  0.027228 seconds (16.95 k allocations: 5.810 MB)
  0.078439 seconds (22.36 k allocations: 6.078 MB, 54.62% gc time)
  0.029622 seconds (23.37 k allocations: 6.282 MB)
  0.032879 seconds (21.20 k allocations: 6.440 MB)
  0.040030 seconds (26.75 k allocations: 6.720 MB)
  0.033104 seconds (27.55 k allocations: 6.930 MB, 9.65% gc time)
  0.045393 seconds (30.37 k allocations: 7.174 MB)
  0.043350 seconds (29.34 k allocations: 7.362 MB)
  0.082619 seconds (32.67 k allocations: 7.620 MB, 4.64% gc time)
  0.072746 seconds (30.70 k allocations: 7.800 MB)
  0.058841 seconds (29.28 k allocations: 7.991 MB)
  0.076485 seconds (41.90 k allocations: 8.399 MB, 5.68% gc time)
  0.073314 seconds (41.51 k allocations: 8.613 MB)
  0.068518 seconds (36.63 k allocations: 8.761 MB, 4.81% gc time)
  0.053133 seconds (41.00 k allocations: 9.052 MB)
  0.046012 seconds (39.34 k allocations: 9.256 MB)
  0.044011 seconds (39.96 k allocations: 9.496 MB, 6.92% gc time)
  0.050118 seconds (52.26 k allocations: 9.918 MB)
  0.061661 seconds (49.89 k allocations: 10.120 MB, 4.68% gc time)
  0.048913 seconds (51.11 k allocations: 10.379 MB)
  0.087765 seconds (55.99 k allocations: 10.697 MB, 6.74% gc time)
  0.058032 seconds (54.27 k allocations: 10.917 MB)
  0.086060 seconds (72.74 k allocations: 11.449 MB, 8.90% gc time)
  0.072596 seconds (69.57 k allocations: 11.653 MB)
  0.078794 seconds (66.23 k allocations: 11.858 MB, 4.44% gc time)
  0.086769 seconds (64.69 k allocations: 12.093 MB)
  0.070877 seconds (69.40 k allocations: 12.427 MB, 8.11% gc time)
  0.060147 seconds (75.33 k allocations: 12.782 MB)
  0.069880 seconds (67.88 k allocations: 12.937 MB, 4.64% gc time)
  0.053227 seconds (69.98 k allocations: 13.240 MB)
  0.065903 seconds (56.41 k allocations: 13.307 MB, 4.78% gc time)
  0.070496 seconds (83.80 k allocations: 14.002 MB)
  0.086989 seconds (95.89 k allocations: 14.467 MB, 3.80% gc time)
  0.077386 seconds (81.78 k allocations: 14.535 MB, 3.38% gc time)
  0.070979 seconds (68.77 k allocations: 14.622 MB)
  0.084061 seconds (94.25 k allocations: 15.300 MB, 3.60% gc time)
  0.109442 seconds (87.19 k allocations: 15.485 MB, 3.00% gc time)
  0.082028 seconds (83.36 k allocations: 15.722 MB)
  0.075921 seconds (79.42 k allocations: 15.960 MB, 4.07% gc time)
  0.110161 seconds (84.74 k allocations: 16.343 MB, 3.77% gc time)
  0.170235 seconds (78.11 k allocations: 16.547 MB)
  0.014590 seconds (917 allocations: 1.416 MB)
  0.023831 seconds (947 allocations: 1.511 MB, 29.94% gc time)
  0.011429 seconds (977 allocations: 1.608 MB)
  0.021358 seconds (1.01 k allocations: 1.709 MB)
  0.013277 seconds (1.04 k allocations: 1.813 MB)
  0.014333 seconds (1.07 k allocations: 1.919 MB)
  0.020227 seconds (1.10 k allocations: 2.029 MB)
  0.014717 seconds (1.13 k allocations: 2.142 MB)
  0.011713 seconds (1.16 k allocations: 2.258 MB)
  0.010292 seconds (1.19 k allocations: 2.377 MB)
  0.010109 seconds (1.22 k allocations: 2.499 MB)
  0.012681 seconds (1.25 k allocations: 2.624 MB)
  0.012653 seconds (1.28 k allocations: 2.752 MB, 21.27% gc time)
  0.011812 seconds (1.31 k allocations: 2.883 MB)
  0.014040 seconds (1.34 k allocations: 3.017 MB)
  0.025403 seconds (1.37 k allocations: 3.154 MB)
  0.020901 seconds (1.40 k allocations: 3.294 MB)
  0.015928 seconds (1.43 k allocations: 3.438 MB)
  0.019094 seconds (1.46 k allocations: 3.584 MB)
  0.021860 seconds (1.49 k allocations: 3.734 MB, 18.25% gc time)
  0.033024 seconds (1.52 k allocations: 3.886 MB)
  0.029245 seconds (1.55 k allocations: 4.041 MB)
  0.030801 seconds (8.09 k allocations: 4.300 MB)
  0.022904 seconds (9.74 k allocations: 4.486 MB)
  0.026552 seconds (9.10 k allocations: 4.640 MB, 11.16% gc time)
  0.022630 seconds (11.09 k allocations: 4.838 MB)
  0.024616 seconds (13.17 k allocations: 5.040 MB)
  0.020642 seconds (13.27 k allocations: 5.215 MB)
  0.028246 seconds (17.25 k allocations: 5.452 MB, 9.50% gc time)
  0.026836 seconds (18.67 k allocations: 5.653 MB)
  0.029671 seconds (17.57 k allocations: 5.819 MB)
  0.026636 seconds (19.08 k allocations: 6.028 MB)
  0.028267 seconds (20.76 k allocations: 6.242 MB, 11.13% gc time)
  0.032968 seconds (21.48 k allocations: 6.445 MB)
  0.034690 seconds (26.30 k allocations: 6.713 MB)
  0.035694 seconds (30.06 k allocations: 6.968 MB, 9.05% gc time)
  0.051677 seconds (28.50 k allocations: 7.145 MB)
  0.047230 seconds (32.26 k allocations: 7.406 MB)
  0.052814 seconds (33.03 k allocations: 7.625 MB, 6.41% gc time)
  0.035839 seconds (31.30 k allocations: 7.809 MB)
  0.035595 seconds (34.71 k allocations: 8.074 MB)
  0.055290 seconds (37.16 k allocations: 8.327 MB, 5.14% gc time)
  0.052409 seconds (42.60 k allocations: 8.630 MB)
  0.055728 seconds (41.22 k allocations: 8.831 MB)
  0.041856 seconds (40.14 k allocations: 9.039 MB, 8.56% gc time)
  0.047205 seconds (49.50 k allocations: 9.410 MB)
  0.047857 seconds (44.02 k allocations: 9.558 MB, 6.16% gc time)
  0.063556 seconds (57.30 k allocations: 9.995 MB)
  0.087841 seconds (59.66 k allocations: 10.269 MB, 3.98% gc time)
  0.080251 seconds (50.36 k allocations: 10.368 MB)
  0.067195 seconds (66.76 k allocations: 10.861 MB)
  0.058766 seconds (55.03 k allocations: 10.929 MB, 5.41% gc time)
  0.068546 seconds (61.50 k allocations: 11.277 MB)
  0.051247 seconds (49.58 k allocations: 11.348 MB, 5.61% gc time)
  0.070344 seconds (65.41 k allocations: 11.845 MB)
  0.054621 seconds (61.34 k allocations: 12.042 MB, 5.07% gc time)
  0.055674 seconds (57.85 k allocations: 12.251 MB)
  0.067895 seconds (80.43 k allocations: 12.860 MB, 4.75% gc time)
  0.069375 seconds (72.48 k allocations: 13.007 MB)
  0.051531 seconds (64.14 k allocations: 13.151 MB, 6.92% gc time)
  0.078942 seconds (76.93 k allocations: 13.620 MB)
  0.077981 seconds (76.92 k allocations: 13.897 MB, 5.51% gc time)
  0.093429 seconds (84.87 k allocations: 14.299 MB, 3.04% gc time)
  0.082465 seconds (82.84 k allocations: 14.551 MB)
  0.102572 seconds (102.51 k allocations: 15.137 MB, 4.24% gc time)
  0.070548 seconds (81.48 k allocations: 15.106 MB, 3.69% gc time)
  0.072033 seconds (90.17 k allocations: 15.530 MB)
  0.100468 seconds (106.83 k allocations: 16.080 MB, 5.06% gc time)
  0.079815 seconds (91.27 k allocations: 16.141 MB, 3.80% gc time)
  0.062726 seconds (86.01 k allocations: 16.362 MB)
  0.094010 seconds (115.80 k allocations: 17.122 MB, 4.99% gc time)
  0.004642 seconds (8.73 k allocations: 2.691 MB)
  0.004758 seconds (7.33 k allocations: 2.723 MB)
  0.007265 seconds (6.97 k allocations: 2.839 MB)
  0.009612 seconds (7.86 k allocations: 3.054 MB)
  0.012493 seconds (8.06 k allocations: 3.221 MB, 45.50% gc time)
  0.006049 seconds (7.25 k allocations: 3.316 MB)
  0.006061 seconds (8.59 k allocations: 3.580 MB)
  0.007366 seconds (11.01 k allocations: 3.930 MB)
  0.008260 seconds (10.33 k allocations: 4.049 MB)
  0.010297 seconds (12.00 k allocations: 4.351 MB)
  0.013648 seconds (9.44 k allocations: 4.336 MB, 41.53% gc time)
  0.009034 seconds (12.14 k allocations: 4.726 MB)
  0.011327 seconds (15.94 k allocations: 5.205 MB)
  0.010038 seconds (11.21 k allocations: 5.038 MB)
  0.016368 seconds (12.79 k allocations: 5.356 MB, 28.86% gc time)
  0.010953 seconds (15.00 k allocations: 5.727 MB)
  0.010378 seconds (12.78 k allocations: 5.765 MB)
  0.008863 seconds (13.51 k allocations: 6.032 MB)
  0.014849 seconds (14.30 k allocations: 6.309 MB, 22.36% gc time)
  0.010181 seconds (13.22 k allocations: 6.448 MB)
  0.010599 seconds (14.46 k allocations: 6.767 MB)
  0.016141 seconds (16.54 k allocations: 7.156 MB, 22.86% gc time)
  0.016953 seconds (18.61 k allocations: 7.447 MB)
  0.012894 seconds (17.53 k allocations: 7.589 MB)
  0.016898 seconds (19.93 k allocations: 7.971 MB, 17.94% gc time)
  0.015011 seconds (23.25 k allocations: 8.435 MB)
  0.014746 seconds (19.36 k allocations: 8.376 MB)
  0.022936 seconds (26.43 k allocations: 9.087 MB, 13.17% gc time)
  0.015819 seconds (21.67 k allocations: 9.004 MB)
  0.024263 seconds (26.09 k allocations: 9.517 MB, 14.74% gc time)
  0.017480 seconds (22.77 k allocations: 9.567 MB)
  0.025643 seconds (28.22 k allocations: 10.174 MB, 14.60% gc time)
  0.028060 seconds (28.04 k allocations: 10.408 MB)
  0.030852 seconds (24.89 k allocations: 10.478 MB, 10.60% gc time)
  0.033995 seconds (30.81 k allocations: 11.126 MB)
  0.024125 seconds (30.12 k allocations: 11.318 MB, 13.68% gc time)
  0.021458 seconds (32.74 k allocations: 11.766 MB)
  0.027426 seconds (30.94 k allocations: 11.948 MB, 11.26% gc time)
  0.023079 seconds (33.29 k allocations: 12.358 MB)
  0.024997 seconds (31.99 k allocations: 12.604 MB, 11.94% gc time)
  0.018521 seconds (29.85 k allocations: 12.794 MB)
  0.025482 seconds (40.91 k allocations: 13.701 MB, 11.42% gc time)
  0.025320 seconds (39.21 k allocations: 13.885 MB, 14.05% gc time)
  0.021363 seconds (34.74 k allocations: 13.982 MB)
  0.029802 seconds (38.03 k allocations: 14.471 MB, 17.67% gc time)
  0.026147 seconds (36.89 k allocations: 14.765 MB, 11.81% gc time)
  0.020503 seconds (37.81 k allocations: 15.140 MB)
  0.033436 seconds (47.64 k allocations: 16.000 MB, 10.41% gc time)
  0.026870 seconds (43.88 k allocations: 16.108 MB, 13.56% gc time)
  0.029028 seconds (44.32 k allocations: 16.475 MB)
  0.034226 seconds (48.31 k allocations: 17.033 MB, 11.57% gc time)
  0.031410 seconds (47.57 k allocations: 17.383 MB, 8.47% gc time)
  0.035468 seconds (61.78 k allocations: 18.431 MB, 8.49% gc time)
  0.034408 seconds (58.88 k allocations: 18.652 MB, 7.54% gc time)
  0.025174 seconds (54.55 k allocations: 18.760 MB)
  0.046667 seconds (53.35 k allocations: 19.155 MB, 8.88% gc time)
  0.038927 seconds (57.34 k allocations: 19.666 MB, 8.46% gc time)
  0.056845 seconds (61.55 k allocations: 20.272 MB, 10.87% gc time)
  0.037021 seconds (55.11 k allocations: 20.332 MB, 13.94% gc time)
  0.036554 seconds (55.60 k allocations: 20.730 MB, 9.89% gc time)
  0.033103 seconds (46.36 k allocations: 20.726 MB, 8.95% gc time)
  0.038685 seconds (65.90 k allocations: 22.040 MB, 8.15% gc time)
  0.048327 seconds (75.17 k allocations: 22.897 MB, 6.84% gc time)
  0.040950 seconds (65.16 k allocations: 22.855 MB, 6.85% gc time)
  0.027835 seconds (54.20 k allocations: 22.702 MB, 10.09% gc time)
  0.038785 seconds (74.12 k allocations: 24.082 MB, 7.90% gc time)
  0.040684 seconds (68.20 k allocations: 24.240 MB, 6.55% gc time)
  0.033529 seconds (63.57 k allocations: 24.417 MB, 9.74% gc time)
  0.035949 seconds (61.57 k allocations: 24.769 MB, 8.60% gc time)
  0.040421 seconds (64.29 k allocations: 25.345 MB, 8.94% gc time)
  0.032776 seconds (60.47 k allocations: 25.622 MB, 10.01% gc time)
  0.003604 seconds (6.50 k allocations: 2.521 MB)
  0.008793 seconds (7.66 k allocations: 2.748 MB, 57.39% gc time)
  0.003432 seconds (8.49 k allocations: 2.954 MB)
  0.004118 seconds (7.95 k allocations: 3.061 MB)
  0.004849 seconds (9.08 k allocations: 3.299 MB)
  0.003378 seconds (7.63 k allocations: 3.345 MB)
  0.004961 seconds (10.69 k allocations: 3.740 MB)
  0.005679 seconds (11.75 k allocations: 3.987 MB)
  0.012225 seconds (9.75 k allocations: 4.005 MB, 60.42% gc time)
  0.005300 seconds (10.45 k allocations: 4.234 MB)
  0.004952 seconds (8.71 k allocations: 4.281 MB)
  0.005007 seconds (9.68 k allocations: 4.539 MB)
  0.004728 seconds (9.61 k allocations: 4.722 MB)
  0.010661 seconds (10.96 k allocations: 5.019 MB, 48.84% gc time)
  0.005491 seconds (11.53 k allocations: 5.260 MB)
  0.007962 seconds (13.95 k allocations: 5.647 MB)
  0.006266 seconds (11.33 k allocations: 5.654 MB)
  0.012811 seconds (14.79 k allocations: 6.130 MB, 38.33% gc time)
  0.010861 seconds (14.91 k allocations: 6.356 MB)
  0.006877 seconds (12.93 k allocations: 6.425 MB)
  0.014493 seconds (19.30 k allocations: 7.137 MB, 27.02% gc time)
  0.010596 seconds (20.20 k allocations: 7.435 MB)
  0.011462 seconds (20.92 k allocations: 7.631 MB)
  0.014140 seconds (19.02 k allocations: 7.693 MB, 17.79% gc time)
  0.008853 seconds (17.61 k allocations: 7.809 MB)
  0.010372 seconds (19.28 k allocations: 8.138 MB)
  0.017731 seconds (20.72 k allocations: 8.467 MB, 20.54% gc time)
  0.010050 seconds (19.59 k allocations: 8.631 MB)
  0.016669 seconds (25.54 k allocations: 9.267 MB, 20.82% gc time)
  0.013116 seconds (25.47 k allocations: 9.490 MB)
  0.012985 seconds (23.80 k allocations: 9.647 MB)
  0.015012 seconds (24.07 k allocations: 9.914 MB, 19.98% gc time)
  0.012967 seconds (24.67 k allocations: 10.201 MB)
  0.016788 seconds (24.89 k allocations: 10.482 MB, 19.33% gc time)
  0.016997 seconds (30.18 k allocations: 11.065 MB)
  0.020691 seconds (33.91 k allocations: 11.561 MB, 15.81% gc time)
  0.015363 seconds (30.74 k allocations: 11.656 MB)
  0.021387 seconds (33.41 k allocations: 12.076 MB, 12.53% gc time)
  0.016026 seconds (33.24 k allocations: 12.350 MB)
  0.017328 seconds (31.56 k allocations: 12.559 MB, 19.19% gc time)
  0.020016 seconds (33.25 k allocations: 12.944 MB, 12.80% gc time)
  0.016312 seconds (36.22 k allocations: 13.427 MB)
  0.022431 seconds (39.62 k allocations: 13.904 MB, 13.45% gc time)
  0.017013 seconds (38.80 k allocations: 14.182 MB)
  0.020921 seconds (37.21 k allocations: 14.421 MB, 16.99% gc time)
  0.028011 seconds (44.57 k allocations: 15.137 MB, 11.13% gc time)
  0.017841 seconds (40.78 k allocations: 15.276 MB)
  0.029219 seconds (51.52 k allocations: 16.178 MB, 12.90% gc time)
  0.039776 seconds (52.21 k allocations: 16.613 MB, 7.49% gc time)
  0.028273 seconds (45.05 k allocations: 16.536 MB, 11.95% gc time)
  0.025869 seconds (58.67 k allocations: 17.569 MB)
  0.033463 seconds (47.11 k allocations: 17.340 MB, 11.60% gc time)
  0.027999 seconds (52.82 k allocations: 17.979 MB, 12.02% gc time)
  0.028646 seconds (41.63 k allocations: 17.760 MB, 11.85% gc time)
  0.035324 seconds (54.66 k allocations: 18.822 MB, 9.16% gc time)
  0.026098 seconds (51.75 k allocations: 19.044 MB)
  0.026520 seconds (48.72 k allocations: 19.259 MB, 16.13% gc time)
  0.039626 seconds (67.92 k allocations: 20.630 MB, 8.04% gc time)
  0.029693 seconds (58.46 k allocations: 20.483 MB, 11.08% gc time)
  0.027381 seconds (51.92 k allocations: 20.550 MB, 23.93% gc time)
  0.036596 seconds (62.62 k allocations: 21.525 MB, 8.31% gc time)
  0.041954 seconds (60.28 k allocations: 21.767 MB, 7.90% gc time)
  0.045189 seconds (66.65 k allocations: 22.521 MB, 7.07% gc time)
  0.039452 seconds (65.38 k allocations: 22.861 MB, 7.82% gc time)
  0.059630 seconds (79.61 k allocations: 23.988 MB, 4.85% gc time)
  0.034271 seconds (65.16 k allocations: 23.693 MB, 9.49% gc time)
  0.043374 seconds (70.09 k allocations: 24.345 MB, 9.93% gc time)
  0.061856 seconds (82.25 k allocations: 25.340 MB, 5.59% gc time)
  0.060462 seconds (69.33 k allocations: 25.146 MB, 8.67% gc time)
  0.043116 seconds (66.48 k allocations: 25.437 MB, 8.58% gc time)
  0.049483 seconds (88.13 k allocations: 26.925 MB, 5.84% gc time)
  0.006589 seconds (8.73 k allocations: 2.691 MB, 54.02% gc time)
  0.003249 seconds (7.33 k allocations: 2.723 MB)
  0.003632 seconds (6.97 k allocations: 2.839 MB)
  0.003801 seconds (7.86 k allocations: 3.054 MB)
  0.004274 seconds (8.06 k allocations: 3.221 MB)
  0.003632 seconds (7.25 k allocations: 3.316 MB)
  0.005034 seconds (8.59 k allocations: 3.580 MB)
  0.012580 seconds (11.01 k allocations: 3.930 MB, 48.76% gc time)
  0.004917 seconds (10.33 k allocations: 4.049 MB)
  0.005836 seconds (12.00 k allocations: 4.351 MB)
  0.004431 seconds (9.44 k allocations: 4.336 MB)
  0.007131 seconds (12.14 k allocations: 4.726 MB)
  0.015123 seconds (15.94 k allocations: 5.205 MB, 37.50% gc time)
  0.005408 seconds (11.21 k allocations: 5.038 MB)
  0.006367 seconds (12.79 k allocations: 5.356 MB)
  0.007304 seconds (15.00 k allocations: 5.727 MB)
  0.011275 seconds (12.78 k allocations: 5.765 MB, 43.18% gc time)
  0.006424 seconds (13.51 k allocations: 6.032 MB)
  0.009857 seconds (14.30 k allocations: 6.309 MB)
  0.011529 seconds (13.22 k allocations: 6.448 MB)
  0.011786 seconds (14.46 k allocations: 6.767 MB, 31.26% gc time)
  0.008753 seconds (16.54 k allocations: 7.156 MB)
  0.010711 seconds (18.61 k allocations: 7.447 MB)
  0.013086 seconds (17.53 k allocations: 7.589 MB, 24.43% gc time)
  0.011017 seconds (19.93 k allocations: 7.971 MB)
  0.013524 seconds (23.25 k allocations: 8.435 MB)
  0.015167 seconds (19.36 k allocations: 8.376 MB, 23.92% gc time)
  0.017475 seconds (26.43 k allocations: 9.087 MB)
  0.016884 seconds (21.67 k allocations: 9.004 MB, 19.56% gc time)
  0.013372 seconds (26.09 k allocations: 9.517 MB)
  0.010962 seconds (22.77 k allocations: 9.567 MB)
  0.017027 seconds (28.22 k allocations: 10.174 MB, 18.19% gc time)
  0.012840 seconds (28.04 k allocations: 10.408 MB)
  0.015339 seconds (24.89 k allocations: 10.478 MB, 23.54% gc time)
  0.020042 seconds (30.81 k allocations: 11.126 MB)
  0.017576 seconds (30.12 k allocations: 11.318 MB, 24.26% gc time)
  0.015900 seconds (32.74 k allocations: 11.766 MB)
  0.017840 seconds (30.94 k allocations: 11.948 MB, 19.50% gc time)
  0.016023 seconds (33.29 k allocations: 12.358 MB)
  0.018511 seconds (31.99 k allocations: 12.604 MB, 18.14% gc time)
  0.017776 seconds (29.85 k allocations: 12.794 MB)
  0.025330 seconds (40.91 k allocations: 13.701 MB, 14.17% gc time)
  0.020060 seconds (39.21 k allocations: 13.885 MB, 16.47% gc time)
  0.017396 seconds (34.74 k allocations: 13.982 MB)
  0.025626 seconds (38.03 k allocations: 14.471 MB, 15.42% gc time)
  0.021876 seconds (36.89 k allocations: 14.765 MB, 12.85% gc time)
  0.016570 seconds (37.81 k allocations: 15.140 MB)
  0.031655 seconds (47.64 k allocations: 16.000 MB, 11.07% gc time)
  0.023329 seconds (43.88 k allocations: 16.108 MB, 14.14% gc time)
  0.025606 seconds (44.32 k allocations: 16.475 MB)
  0.028833 seconds (48.31 k allocations: 17.033 MB, 15.21% gc time)
  0.027924 seconds (47.57 k allocations: 17.383 MB, 10.69% gc time)
  0.035790 seconds (61.78 k allocations: 18.431 MB, 9.41% gc time)
  0.031238 seconds (58.88 k allocations: 18.652 MB, 10.23% gc time)
  0.027286 seconds (54.55 k allocations: 18.760 MB)
  0.045904 seconds (53.35 k allocations: 19.155 MB, 8.32% gc time)
  0.038778 seconds (57.34 k allocations: 19.666 MB, 18.79% gc time)
  0.036941 seconds (61.55 k allocations: 20.272 MB, 7.71% gc time)
  0.030104 seconds (55.11 k allocations: 20.332 MB, 8.84% gc time)
  0.036669 seconds (55.60 k allocations: 20.730 MB, 9.47% gc time)
  0.032629 seconds (46.36 k allocations: 20.726 MB, 10.25% gc time)
  0.037777 seconds (65.90 k allocations: 22.040 MB, 6.94% gc time)
  0.045457 seconds (75.17 k allocations: 22.897 MB, 6.53% gc time)
  0.035020 seconds (65.16 k allocations: 22.855 MB, 7.64% gc time)
  0.027268 seconds (54.20 k allocations: 22.702 MB, 11.67% gc time)
  0.046413 seconds (74.12 k allocations: 24.082 MB, 7.79% gc time)
  0.052153 seconds (68.20 k allocations: 24.240 MB, 7.23% gc time)
  0.040505 seconds (63.57 k allocations: 24.417 MB, 7.06% gc time)
  0.036070 seconds (61.57 k allocations: 24.769 MB, 10.03% gc time)
  0.039951 seconds (64.29 k allocations: 25.345 MB, 8.23% gc time)
  0.041532 seconds (60.47 k allocations: 25.622 MB, 8.02% gc time)
  0.002599 seconds (6.50 k allocations: 2.521 MB)
  0.006836 seconds (7.66 k allocations: 2.748 MB, 58.74% gc time)
  0.003305 seconds (8.49 k allocations: 2.954 MB)
  0.003128 seconds (7.95 k allocations: 3.061 MB)
  0.004070 seconds (9.08 k allocations: 3.299 MB)
  0.003673 seconds (7.63 k allocations: 3.345 MB)
  0.006342 seconds (10.69 k allocations: 3.740 MB)
  0.006638 seconds (11.75 k allocations: 3.987 MB)
  0.009969 seconds (9.75 k allocations: 4.005 MB, 57.81% gc time)
  0.004508 seconds (10.45 k allocations: 4.234 MB)
  0.004797 seconds (8.71 k allocations: 4.281 MB)
  0.006353 seconds (9.68 k allocations: 4.539 MB)
  0.004810 seconds (9.61 k allocations: 4.722 MB)
  0.013081 seconds (10.96 k allocations: 5.019 MB, 44.13% gc time)
  0.007698 seconds (11.53 k allocations: 5.260 MB)
  0.008938 seconds (13.95 k allocations: 5.647 MB)
  0.005823 seconds (11.33 k allocations: 5.654 MB)
  0.012086 seconds (14.79 k allocations: 6.130 MB, 37.19% gc time)
  0.008034 seconds (14.91 k allocations: 6.356 MB)
  0.007149 seconds (12.93 k allocations: 6.425 MB)
  0.013705 seconds (19.30 k allocations: 7.137 MB, 23.53% gc time)
  0.009575 seconds (20.20 k allocations: 7.435 MB)
  0.011568 seconds (20.92 k allocations: 7.631 MB)
  0.018461 seconds (19.02 k allocations: 7.693 MB, 14.32% gc time)
  0.010301 seconds (17.61 k allocations: 7.809 MB)
  0.008896 seconds (19.28 k allocations: 8.138 MB)
  0.013671 seconds (20.72 k allocations: 8.467 MB, 19.51% gc time)
  0.010877 seconds (19.59 k allocations: 8.631 MB)
  0.016074 seconds (25.54 k allocations: 9.267 MB, 20.26% gc time)
  0.012419 seconds (25.47 k allocations: 9.490 MB)
  0.012113 seconds (23.80 k allocations: 9.647 MB)
  0.019602 seconds (24.07 k allocations: 9.914 MB, 16.97% gc time)
  0.014886 seconds (24.67 k allocations: 10.201 MB)
  0.016880 seconds (24.89 k allocations: 10.482 MB, 15.43% gc time)
  0.014733 seconds (30.18 k allocations: 11.065 MB)
  0.017765 seconds (33.91 k allocations: 11.561 MB, 17.40% gc time)
  0.016559 seconds (30.74 k allocations: 11.656 MB)
  0.023122 seconds (33.41 k allocations: 12.076 MB, 12.54% gc time)
  0.017788 seconds (33.24 k allocations: 12.350 MB)
  0.017359 seconds (31.56 k allocations: 12.559 MB, 19.49% gc time)
  0.019088 seconds (33.25 k allocations: 12.944 MB, 16.00% gc time)
  0.016608 seconds (36.22 k allocations: 13.427 MB)
  0.027365 seconds (39.62 k allocations: 13.904 MB, 13.31% gc time)
  0.018486 seconds (38.80 k allocations: 14.182 MB)
  0.021597 seconds (37.21 k allocations: 14.421 MB, 17.35% gc time)
  0.024346 seconds (44.57 k allocations: 15.137 MB, 12.61% gc time)
  0.017586 seconds (40.78 k allocations: 15.276 MB)
  0.030376 seconds (51.52 k allocations: 16.178 MB, 12.68% gc time)
  0.044137 seconds (52.21 k allocations: 16.613 MB, 8.64% gc time)
  0.024680 seconds (45.05 k allocations: 16.536 MB, 12.73% gc time)
  0.027421 seconds (58.67 k allocations: 17.569 MB)
  0.032013 seconds (47.11 k allocations: 17.340 MB, 12.49% gc time)
  0.026549 seconds (52.82 k allocations: 17.979 MB, 11.33% gc time)
  0.027171 seconds (41.63 k allocations: 17.760 MB, 10.83% gc time)
  0.039746 seconds (54.66 k allocations: 18.822 MB, 8.30% gc time)
  0.029633 seconds (51.75 k allocations: 19.044 MB)
  0.025696 seconds (48.72 k allocations: 19.259 MB, 15.94% gc time)
  0.033821 seconds (67.92 k allocations: 20.630 MB, 9.36% gc time)
  0.032545 seconds (58.46 k allocations: 20.483 MB, 10.17% gc time)
  0.024917 seconds (51.92 k allocations: 20.550 MB, 15.42% gc time)
  0.036521 seconds (62.62 k allocations: 21.525 MB, 8.44% gc time)
  0.034935 seconds (60.28 k allocations: 21.767 MB, 9.05% gc time)
  0.046860 seconds (66.65 k allocations: 22.521 MB, 5.96% gc time)
  0.040968 seconds (65.38 k allocations: 22.861 MB, 7.63% gc time)
  0.055117 seconds (79.61 k allocations: 23.988 MB, 5.76% gc time)
  0.037854 seconds (65.16 k allocations: 23.693 MB, 9.01% gc time)
  0.043963 seconds (70.09 k allocations: 24.345 MB, 6.29% gc time)
  0.047014 seconds (82.25 k allocations: 25.340 MB, 7.90% gc time)
  0.064176 seconds (69.33 k allocations: 25.146 MB, 7.52% gc time)
  0.032589 seconds (66.48 k allocations: 25.437 MB, 10.90% gc time)
  0.051156 seconds (88.13 k allocations: 26.925 MB, 7.90% gc time)

In [142]:

    

allss = get_seconds2("0.009129 seconds (917 allocations: 1.416 MB)
  0.009274 seconds (947 allocations: 1.511 MB)
  0.007484 seconds (977 allocations: 1.608 MB)
  0.010769 seconds (1.01 k allocations: 1.709 MB)
  0.012465 seconds (1.04 k allocations: 1.813 MB)
  0.014293 seconds (1.07 k allocations: 1.919 MB)
  0.011384 seconds (1.10 k allocations: 2.029 MB)
  0.014248 seconds (1.13 k allocations: 2.142 MB)
  0.011885 seconds (1.16 k allocations: 2.258 MB)
  0.029350 seconds (1.19 k allocations: 2.377 MB)
  0.020161 seconds (1.22 k allocations: 2.499 MB)
  0.017643 seconds (1.25 k allocations: 2.624 MB)
  0.029638 seconds (1.28 k allocations: 2.752 MB)
  0.045103 seconds (1.31 k allocations: 2.883 MB)
  0.018109 seconds (1.34 k allocations: 3.017 MB)
  0.024426 seconds (1.37 k allocations: 3.154 MB)
  0.020370 seconds (1.40 k allocations: 3.294 MB)
  0.021987 seconds (1.43 k allocations: 3.438 MB)
  0.032624 seconds (1.46 k allocations: 3.584 MB)
  0.029399 seconds (1.49 k allocations: 3.734 MB)
  0.027961 seconds (1.52 k allocations: 3.886 MB)
  0.029888 seconds (1.55 k allocations: 4.041 MB)
  0.028471 seconds (7.86 k allocations: 4.296 MB)
  0.542545 seconds (8.24 k allocations: 4.463 MB, 93.79% gc time)
  0.026858 seconds (10.20 k allocations: 4.657 MB)
  0.028771 seconds (12.07 k allocations: 4.853 MB)
  0.024150 seconds (12.18 k allocations: 5.025 MB)
  0.051690 seconds (18.61 k allocations: 5.296 MB, 27.21% gc time)
  0.033867 seconds (14.94 k allocations: 5.417 MB)
  0.036329 seconds (20.13 k allocations: 5.675 MB)
  0.027228 seconds (16.95 k allocations: 5.810 MB)
  0.078439 seconds (22.36 k allocations: 6.078 MB, 54.62% gc time)
  0.029622 seconds (23.37 k allocations: 6.282 MB)
  0.032879 seconds (21.20 k allocations: 6.440 MB)
  0.040030 seconds (26.75 k allocations: 6.720 MB)
  0.033104 seconds (27.55 k allocations: 6.930 MB, 9.65% gc time)
  0.045393 seconds (30.37 k allocations: 7.174 MB)
  0.043350 seconds (29.34 k allocations: 7.362 MB)
  0.082619 seconds (32.67 k allocations: 7.620 MB, 4.64% gc time)
  0.072746 seconds (30.70 k allocations: 7.800 MB)
  0.058841 seconds (29.28 k allocations: 7.991 MB)
  0.076485 seconds (41.90 k allocations: 8.399 MB, 5.68% gc time)
  0.073314 seconds (41.51 k allocations: 8.613 MB)
  0.068518 seconds (36.63 k allocations: 8.761 MB, 4.81% gc time)
  0.053133 seconds (41.00 k allocations: 9.052 MB)
  0.046012 seconds (39.34 k allocations: 9.256 MB)
  0.044011 seconds (39.96 k allocations: 9.496 MB, 6.92% gc time)
  0.050118 seconds (52.26 k allocations: 9.918 MB)
  0.061661 seconds (49.89 k allocations: 10.120 MB, 4.68% gc time)
  0.048913 seconds (51.11 k allocations: 10.379 MB)
  0.087765 seconds (55.99 k allocations: 10.697 MB, 6.74% gc time)
  0.058032 seconds (54.27 k allocations: 10.917 MB)
  0.086060 seconds (72.74 k allocations: 11.449 MB, 8.90% gc time)
  0.072596 seconds (69.57 k allocations: 11.653 MB)
  0.078794 seconds (66.23 k allocations: 11.858 MB, 4.44% gc time)
  0.086769 seconds (64.69 k allocations: 12.093 MB)
  0.070877 seconds (69.40 k allocations: 12.427 MB, 8.11% gc time)
  0.060147 seconds (75.33 k allocations: 12.782 MB)
  0.069880 seconds (67.88 k allocations: 12.937 MB, 4.64% gc time)
  0.053227 seconds (69.98 k allocations: 13.240 MB)
  0.065903 seconds (56.41 k allocations: 13.307 MB, 4.78% gc time)
  0.070496 seconds (83.80 k allocations: 14.002 MB)
  0.086989 seconds (95.89 k allocations: 14.467 MB, 3.80% gc time)
  0.077386 seconds (81.78 k allocations: 14.535 MB, 3.38% gc time)
  0.070979 seconds (68.77 k allocations: 14.622 MB)
  0.084061 seconds (94.25 k allocations: 15.300 MB, 3.60% gc time)
  0.109442 seconds (87.19 k allocations: 15.485 MB, 3.00% gc time)
  0.082028 seconds (83.36 k allocations: 15.722 MB)
  0.075921 seconds (79.42 k allocations: 15.960 MB, 4.07% gc time)
  0.110161 seconds (84.74 k allocations: 16.343 MB, 3.77% gc time)
  0.170235 seconds (78.11 k allocations: 16.547 MB)
  0.014590 seconds (917 allocations: 1.416 MB)
  0.023831 seconds (947 allocations: 1.511 MB, 29.94% gc time)
  0.011429 seconds (977 allocations: 1.608 MB)
  0.021358 seconds (1.01 k allocations: 1.709 MB)
  0.013277 seconds (1.04 k allocations: 1.813 MB)
  0.014333 seconds (1.07 k allocations: 1.919 MB)
  0.020227 seconds (1.10 k allocations: 2.029 MB)
  0.014717 seconds (1.13 k allocations: 2.142 MB)
  0.011713 seconds (1.16 k allocations: 2.258 MB)
  0.010292 seconds (1.19 k allocations: 2.377 MB)
  0.010109 seconds (1.22 k allocations: 2.499 MB)
  0.012681 seconds (1.25 k allocations: 2.624 MB)
  0.012653 seconds (1.28 k allocations: 2.752 MB, 21.27% gc time)
  0.011812 seconds (1.31 k allocations: 2.883 MB)
  0.014040 seconds (1.34 k allocations: 3.017 MB)
  0.025403 seconds (1.37 k allocations: 3.154 MB)
  0.020901 seconds (1.40 k allocations: 3.294 MB)
  0.015928 seconds (1.43 k allocations: 3.438 MB)
  0.019094 seconds (1.46 k allocations: 3.584 MB)
  0.021860 seconds (1.49 k allocations: 3.734 MB, 18.25% gc time)
  0.033024 seconds (1.52 k allocations: 3.886 MB)
  0.029245 seconds (1.55 k allocations: 4.041 MB)
  0.030801 seconds (8.09 k allocations: 4.300 MB)
  0.022904 seconds (9.74 k allocations: 4.486 MB)
  0.026552 seconds (9.10 k allocations: 4.640 MB, 11.16% gc time)
  0.022630 seconds (11.09 k allocations: 4.838 MB)
  0.024616 seconds (13.17 k allocations: 5.040 MB)
  0.020642 seconds (13.27 k allocations: 5.215 MB)
  0.028246 seconds (17.25 k allocations: 5.452 MB, 9.50% gc time)
  0.026836 seconds (18.67 k allocations: 5.653 MB)
  0.029671 seconds (17.57 k allocations: 5.819 MB)
  0.026636 seconds (19.08 k allocations: 6.028 MB)
  0.028267 seconds (20.76 k allocations: 6.242 MB, 11.13% gc time)
  0.032968 seconds (21.48 k allocations: 6.445 MB)
  0.034690 seconds (26.30 k allocations: 6.713 MB)
  0.035694 seconds (30.06 k allocations: 6.968 MB, 9.05% gc time)
  0.051677 seconds (28.50 k allocations: 7.145 MB)
  0.047230 seconds (32.26 k allocations: 7.406 MB)
  0.052814 seconds (33.03 k allocations: 7.625 MB, 6.41% gc time)
  0.035839 seconds (31.30 k allocations: 7.809 MB)
  0.035595 seconds (34.71 k allocations: 8.074 MB)
  0.055290 seconds (37.16 k allocations: 8.327 MB, 5.14% gc time)
  0.052409 seconds (42.60 k allocations: 8.630 MB)
  0.055728 seconds (41.22 k allocations: 8.831 MB)
  0.041856 seconds (40.14 k allocations: 9.039 MB, 8.56% gc time)
  0.047205 seconds (49.50 k allocations: 9.410 MB)
  0.047857 seconds (44.02 k allocations: 9.558 MB, 6.16% gc time)
  0.063556 seconds (57.30 k allocations: 9.995 MB)
  0.087841 seconds (59.66 k allocations: 10.269 MB, 3.98% gc time)
  0.080251 seconds (50.36 k allocations: 10.368 MB)
  0.067195 seconds (66.76 k allocations: 10.861 MB)
  0.058766 seconds (55.03 k allocations: 10.929 MB, 5.41% gc time)
  0.068546 seconds (61.50 k allocations: 11.277 MB)
  0.051247 seconds (49.58 k allocations: 11.348 MB, 5.61% gc time)
  0.070344 seconds (65.41 k allocations: 11.845 MB)
  0.054621 seconds (61.34 k allocations: 12.042 MB, 5.07% gc time)
  0.055674 seconds (57.85 k allocations: 12.251 MB)
  0.067895 seconds (80.43 k allocations: 12.860 MB, 4.75% gc time)
  0.069375 seconds (72.48 k allocations: 13.007 MB)
  0.051531 seconds (64.14 k allocations: 13.151 MB, 6.92% gc time)
  0.078942 seconds (76.93 k allocations: 13.620 MB)
  0.077981 seconds (76.92 k allocations: 13.897 MB, 5.51% gc time)
  0.093429 seconds (84.87 k allocations: 14.299 MB, 3.04% gc time)
  0.082465 seconds (82.84 k allocations: 14.551 MB)
  0.102572 seconds (102.51 k allocations: 15.137 MB, 4.24% gc time)
  0.070548 seconds (81.48 k allocations: 15.106 MB, 3.69% gc time)
  0.072033 seconds (90.17 k allocations: 15.530 MB)
  0.100468 seconds (106.83 k allocations: 16.080 MB, 5.06% gc time)
  0.079815 seconds (91.27 k allocations: 16.141 MB, 3.80% gc time)
  0.062726 seconds (86.01 k allocations: 16.362 MB)
  0.094010 seconds (115.80 k allocations: 17.122 MB, 4.99% gc time)
  0.004642 seconds (8.73 k allocations: 2.691 MB)
  0.004758 seconds (7.33 k allocations: 2.723 MB)
  0.007265 seconds (6.97 k allocations: 2.839 MB)
  0.009612 seconds (7.86 k allocations: 3.054 MB)
  0.012493 seconds (8.06 k allocations: 3.221 MB, 45.50% gc time)
  0.006049 seconds (7.25 k allocations: 3.316 MB)
  0.006061 seconds (8.59 k allocations: 3.580 MB)
  0.007366 seconds (11.01 k allocations: 3.930 MB)
  0.008260 seconds (10.33 k allocations: 4.049 MB)
  0.010297 seconds (12.00 k allocations: 4.351 MB)
  0.013648 seconds (9.44 k allocations: 4.336 MB, 41.53% gc time)
  0.009034 seconds (12.14 k allocations: 4.726 MB)
  0.011327 seconds (15.94 k allocations: 5.205 MB)
  0.010038 seconds (11.21 k allocations: 5.038 MB)
  0.016368 seconds (12.79 k allocations: 5.356 MB, 28.86% gc time)
  0.010953 seconds (15.00 k allocations: 5.727 MB)
  0.010378 seconds (12.78 k allocations: 5.765 MB)
  0.008863 seconds (13.51 k allocations: 6.032 MB)
  0.014849 seconds (14.30 k allocations: 6.309 MB, 22.36% gc time)
  0.010181 seconds (13.22 k allocations: 6.448 MB)
  0.010599 seconds (14.46 k allocations: 6.767 MB)
  0.016141 seconds (16.54 k allocations: 7.156 MB, 22.86% gc time)
  0.016953 seconds (18.61 k allocations: 7.447 MB)
  0.012894 seconds (17.53 k allocations: 7.589 MB)
  0.016898 seconds (19.93 k allocations: 7.971 MB, 17.94% gc time)
  0.015011 seconds (23.25 k allocations: 8.435 MB)
  0.014746 seconds (19.36 k allocations: 8.376 MB)
  0.022936 seconds (26.43 k allocations: 9.087 MB, 13.17% gc time)
  0.015819 seconds (21.67 k allocations: 9.004 MB)
  0.024263 seconds (26.09 k allocations: 9.517 MB, 14.74% gc time)
  0.017480 seconds (22.77 k allocations: 9.567 MB)
  0.025643 seconds (28.22 k allocations: 10.174 MB, 14.60% gc time)
  0.028060 seconds (28.04 k allocations: 10.408 MB)
  0.030852 seconds (24.89 k allocations: 10.478 MB, 10.60% gc time)
  0.033995 seconds (30.81 k allocations: 11.126 MB)
  0.024125 seconds (30.12 k allocations: 11.318 MB, 13.68% gc time)
  0.021458 seconds (32.74 k allocations: 11.766 MB)
  0.027426 seconds (30.94 k allocations: 11.948 MB, 11.26% gc time)
  0.023079 seconds (33.29 k allocations: 12.358 MB)
  0.024997 seconds (31.99 k allocations: 12.604 MB, 11.94% gc time)
  0.018521 seconds (29.85 k allocations: 12.794 MB)
  0.025482 seconds (40.91 k allocations: 13.701 MB, 11.42% gc time)
  0.025320 seconds (39.21 k allocations: 13.885 MB, 14.05% gc time)
  0.021363 seconds (34.74 k allocations: 13.982 MB)
  0.029802 seconds (38.03 k allocations: 14.471 MB, 17.67% gc time)
  0.026147 seconds (36.89 k allocations: 14.765 MB, 11.81% gc time)
  0.020503 seconds (37.81 k allocations: 15.140 MB)
  0.033436 seconds (47.64 k allocations: 16.000 MB, 10.41% gc time)
  0.026870 seconds (43.88 k allocations: 16.108 MB, 13.56% gc time)
  0.029028 seconds (44.32 k allocations: 16.475 MB)
  0.034226 seconds (48.31 k allocations: 17.033 MB, 11.57% gc time)
  0.031410 seconds (47.57 k allocations: 17.383 MB, 8.47% gc time)
  0.035468 seconds (61.78 k allocations: 18.431 MB, 8.49% gc time)
  0.034408 seconds (58.88 k allocations: 18.652 MB, 7.54% gc time)
  0.025174 seconds (54.55 k allocations: 18.760 MB)
  0.046667 seconds (53.35 k allocations: 19.155 MB, 8.88% gc time)
  0.038927 seconds (57.34 k allocations: 19.666 MB, 8.46% gc time)
  0.056845 seconds (61.55 k allocations: 20.272 MB, 10.87% gc time)
  0.037021 seconds (55.11 k allocations: 20.332 MB, 13.94% gc time)
  0.036554 seconds (55.60 k allocations: 20.730 MB, 9.89% gc time)
  0.033103 seconds (46.36 k allocations: 20.726 MB, 8.95% gc time)
  0.038685 seconds (65.90 k allocations: 22.040 MB, 8.15% gc time)
  0.048327 seconds (75.17 k allocations: 22.897 MB, 6.84% gc time)
  0.040950 seconds (65.16 k allocations: 22.855 MB, 6.85% gc time)
  0.027835 seconds (54.20 k allocations: 22.702 MB, 10.09% gc time)
  0.038785 seconds (74.12 k allocations: 24.082 MB, 7.90% gc time)
  0.040684 seconds (68.20 k allocations: 24.240 MB, 6.55% gc time)
  0.033529 seconds (63.57 k allocations: 24.417 MB, 9.74% gc time)
  0.035949 seconds (61.57 k allocations: 24.769 MB, 8.60% gc time)
  0.040421 seconds (64.29 k allocations: 25.345 MB, 8.94% gc time)
  0.032776 seconds (60.47 k allocations: 25.622 MB, 10.01% gc time)
  0.003604 seconds (6.50 k allocations: 2.521 MB)
  0.008793 seconds (7.66 k allocations: 2.748 MB, 57.39% gc time)
  0.003432 seconds (8.49 k allocations: 2.954 MB)
  0.004118 seconds (7.95 k allocations: 3.061 MB)
  0.004849 seconds (9.08 k allocations: 3.299 MB)
  0.003378 seconds (7.63 k allocations: 3.345 MB)
  0.004961 seconds (10.69 k allocations: 3.740 MB)
  0.005679 seconds (11.75 k allocations: 3.987 MB)
  0.012225 seconds (9.75 k allocations: 4.005 MB, 60.42% gc time)
  0.005300 seconds (10.45 k allocations: 4.234 MB)
  0.004952 seconds (8.71 k allocations: 4.281 MB)
  0.005007 seconds (9.68 k allocations: 4.539 MB)
  0.004728 seconds (9.61 k allocations: 4.722 MB)
  0.010661 seconds (10.96 k allocations: 5.019 MB, 48.84% gc time)
  0.005491 seconds (11.53 k allocations: 5.260 MB)
  0.007962 seconds (13.95 k allocations: 5.647 MB)
  0.006266 seconds (11.33 k allocations: 5.654 MB)
  0.012811 seconds (14.79 k allocations: 6.130 MB, 38.33% gc time)
  0.010861 seconds (14.91 k allocations: 6.356 MB)
  0.006877 seconds (12.93 k allocations: 6.425 MB)
  0.014493 seconds (19.30 k allocations: 7.137 MB, 27.02% gc time)
  0.010596 seconds (20.20 k allocations: 7.435 MB)
  0.011462 seconds (20.92 k allocations: 7.631 MB)
  0.014140 seconds (19.02 k allocations: 7.693 MB, 17.79% gc time)
  0.008853 seconds (17.61 k allocations: 7.809 MB)
  0.010372 seconds (19.28 k allocations: 8.138 MB)
  0.017731 seconds (20.72 k allocations: 8.467 MB, 20.54% gc time)
  0.010050 seconds (19.59 k allocations: 8.631 MB)
  0.016669 seconds (25.54 k allocations: 9.267 MB, 20.82% gc time)
  0.013116 seconds (25.47 k allocations: 9.490 MB)
  0.012985 seconds (23.80 k allocations: 9.647 MB)
  0.015012 seconds (24.07 k allocations: 9.914 MB, 19.98% gc time)
  0.012967 seconds (24.67 k allocations: 10.201 MB)
  0.016788 seconds (24.89 k allocations: 10.482 MB, 19.33% gc time)
  0.016997 seconds (30.18 k allocations: 11.065 MB)
  0.020691 seconds (33.91 k allocations: 11.561 MB, 15.81% gc time)
  0.015363 seconds (30.74 k allocations: 11.656 MB)
  0.021387 seconds (33.41 k allocations: 12.076 MB, 12.53% gc time)
  0.016026 seconds (33.24 k allocations: 12.350 MB)
  0.017328 seconds (31.56 k allocations: 12.559 MB, 19.19% gc time)
  0.020016 seconds (33.25 k allocations: 12.944 MB, 12.80% gc time)
  0.016312 seconds (36.22 k allocations: 13.427 MB)
  0.022431 seconds (39.62 k allocations: 13.904 MB, 13.45% gc time)
  0.017013 seconds (38.80 k allocations: 14.182 MB)
  0.020921 seconds (37.21 k allocations: 14.421 MB, 16.99% gc time)
  0.028011 seconds (44.57 k allocations: 15.137 MB, 11.13% gc time)
  0.017841 seconds (40.78 k allocations: 15.276 MB)
  0.029219 seconds (51.52 k allocations: 16.178 MB, 12.90% gc time)
  0.039776 seconds (52.21 k allocations: 16.613 MB, 7.49% gc time)
  0.028273 seconds (45.05 k allocations: 16.536 MB, 11.95% gc time)
  0.025869 seconds (58.67 k allocations: 17.569 MB)
  0.033463 seconds (47.11 k allocations: 17.340 MB, 11.60% gc time)
  0.027999 seconds (52.82 k allocations: 17.979 MB, 12.02% gc time)
  0.028646 seconds (41.63 k allocations: 17.760 MB, 11.85% gc time)
  0.035324 seconds (54.66 k allocations: 18.822 MB, 9.16% gc time)
  0.026098 seconds (51.75 k allocations: 19.044 MB)
  0.026520 seconds (48.72 k allocations: 19.259 MB, 16.13% gc time)
  0.039626 seconds (67.92 k allocations: 20.630 MB, 8.04% gc time)
  0.029693 seconds (58.46 k allocations: 20.483 MB, 11.08% gc time)
  0.027381 seconds (51.92 k allocations: 20.550 MB, 23.93% gc time)
  0.036596 seconds (62.62 k allocations: 21.525 MB, 8.31% gc time)
  0.041954 seconds (60.28 k allocations: 21.767 MB, 7.90% gc time)
  0.045189 seconds (66.65 k allocations: 22.521 MB, 7.07% gc time)
  0.039452 seconds (65.38 k allocations: 22.861 MB, 7.82% gc time)
  0.059630 seconds (79.61 k allocations: 23.988 MB, 4.85% gc time)
  0.034271 seconds (65.16 k allocations: 23.693 MB, 9.49% gc time)
  0.043374 seconds (70.09 k allocations: 24.345 MB, 9.93% gc time)
  0.061856 seconds (82.25 k allocations: 25.340 MB, 5.59% gc time)
  0.060462 seconds (69.33 k allocations: 25.146 MB, 8.67% gc time)
  0.043116 seconds (66.48 k allocations: 25.437 MB, 8.58% gc time)
  0.049483 seconds (88.13 k allocations: 26.925 MB, 5.84% gc time)
  0.006589 seconds (8.73 k allocations: 2.691 MB, 54.02% gc time)
  0.003249 seconds (7.33 k allocations: 2.723 MB)
  0.003632 seconds (6.97 k allocations: 2.839 MB)
  0.003801 seconds (7.86 k allocations: 3.054 MB)
  0.004274 seconds (8.06 k allocations: 3.221 MB)
  0.003632 seconds (7.25 k allocations: 3.316 MB)
  0.005034 seconds (8.59 k allocations: 3.580 MB)
  0.012580 seconds (11.01 k allocations: 3.930 MB, 48.76% gc time)
  0.004917 seconds (10.33 k allocations: 4.049 MB)
  0.005836 seconds (12.00 k allocations: 4.351 MB)
  0.004431 seconds (9.44 k allocations: 4.336 MB)
  0.007131 seconds (12.14 k allocations: 4.726 MB)
  0.015123 seconds (15.94 k allocations: 5.205 MB, 37.50% gc time)
  0.005408 seconds (11.21 k allocations: 5.038 MB)
  0.006367 seconds (12.79 k allocations: 5.356 MB)
  0.007304 seconds (15.00 k allocations: 5.727 MB)
  0.011275 seconds (12.78 k allocations: 5.765 MB, 43.18% gc time)
  0.006424 seconds (13.51 k allocations: 6.032 MB)
  0.009857 seconds (14.30 k allocations: 6.309 MB)
  0.011529 seconds (13.22 k allocations: 6.448 MB)
  0.011786 seconds (14.46 k allocations: 6.767 MB, 31.26% gc time)
  0.008753 seconds (16.54 k allocations: 7.156 MB)
  0.010711 seconds (18.61 k allocations: 7.447 MB)
  0.013086 seconds (17.53 k allocations: 7.589 MB, 24.43% gc time)
  0.011017 seconds (19.93 k allocations: 7.971 MB)
  0.013524 seconds (23.25 k allocations: 8.435 MB)
  0.015167 seconds (19.36 k allocations: 8.376 MB, 23.92% gc time)
  0.017475 seconds (26.43 k allocations: 9.087 MB)
  0.016884 seconds (21.67 k allocations: 9.004 MB, 19.56% gc time)
  0.013372 seconds (26.09 k allocations: 9.517 MB)
  0.010962 seconds (22.77 k allocations: 9.567 MB)
  0.017027 seconds (28.22 k allocations: 10.174 MB, 18.19% gc time)
  0.012840 seconds (28.04 k allocations: 10.408 MB)
  0.015339 seconds (24.89 k allocations: 10.478 MB, 23.54% gc time)
  0.020042 seconds (30.81 k allocations: 11.126 MB)
  0.017576 seconds (30.12 k allocations: 11.318 MB, 24.26% gc time)
  0.015900 seconds (32.74 k allocations: 11.766 MB)
  0.017840 seconds (30.94 k allocations: 11.948 MB, 19.50% gc time)
  0.016023 seconds (33.29 k allocations: 12.358 MB)
  0.018511 seconds (31.99 k allocations: 12.604 MB, 18.14% gc time)
  0.017776 seconds (29.85 k allocations: 12.794 MB)
  0.025330 seconds (40.91 k allocations: 13.701 MB, 14.17% gc time)
  0.020060 seconds (39.21 k allocations: 13.885 MB, 16.47% gc time)
  0.017396 seconds (34.74 k allocations: 13.982 MB)
  0.025626 seconds (38.03 k allocations: 14.471 MB, 15.42% gc time)
  0.021876 seconds (36.89 k allocations: 14.765 MB, 12.85% gc time)
  0.016570 seconds (37.81 k allocations: 15.140 MB)
  0.031655 seconds (47.64 k allocations: 16.000 MB, 11.07% gc time)
  0.023329 seconds (43.88 k allocations: 16.108 MB, 14.14% gc time)
  0.025606 seconds (44.32 k allocations: 16.475 MB)
  0.028833 seconds (48.31 k allocations: 17.033 MB, 15.21% gc time)
  0.027924 seconds (47.57 k allocations: 17.383 MB, 10.69% gc time)
  0.035790 seconds (61.78 k allocations: 18.431 MB, 9.41% gc time)
  0.031238 seconds (58.88 k allocations: 18.652 MB, 10.23% gc time)
  0.027286 seconds (54.55 k allocations: 18.760 MB)
  0.045904 seconds (53.35 k allocations: 19.155 MB, 8.32% gc time)
  0.038778 seconds (57.34 k allocations: 19.666 MB, 18.79% gc time)
  0.036941 seconds (61.55 k allocations: 20.272 MB, 7.71% gc time)
  0.030104 seconds (55.11 k allocations: 20.332 MB, 8.84% gc time)
  0.036669 seconds (55.60 k allocations: 20.730 MB, 9.47% gc time)
  0.032629 seconds (46.36 k allocations: 20.726 MB, 10.25% gc time)
  0.037777 seconds (65.90 k allocations: 22.040 MB, 6.94% gc time)
  0.045457 seconds (75.17 k allocations: 22.897 MB, 6.53% gc time)
  0.035020 seconds (65.16 k allocations: 22.855 MB, 7.64% gc time)
  0.027268 seconds (54.20 k allocations: 22.702 MB, 11.67% gc time)
  0.046413 seconds (74.12 k allocations: 24.082 MB, 7.79% gc time)
  0.052153 seconds (68.20 k allocations: 24.240 MB, 7.23% gc time)
  0.040505 seconds (63.57 k allocations: 24.417 MB, 7.06% gc time)
  0.036070 seconds (61.57 k allocations: 24.769 MB, 10.03% gc time)
  0.039951 seconds (64.29 k allocations: 25.345 MB, 8.23% gc time)
  0.041532 seconds (60.47 k allocations: 25.622 MB, 8.02% gc time)
  0.002599 seconds (6.50 k allocations: 2.521 MB)
  0.006836 seconds (7.66 k allocations: 2.748 MB, 58.74% gc time)
  0.003305 seconds (8.49 k allocations: 2.954 MB)
  0.003128 seconds (7.95 k allocations: 3.061 MB)
  0.004070 seconds (9.08 k allocations: 3.299 MB)
  0.003673 seconds (7.63 k allocations: 3.345 MB)
  0.006342 seconds (10.69 k allocations: 3.740 MB)
  0.006638 seconds (11.75 k allocations: 3.987 MB)
  0.009969 seconds (9.75 k allocations: 4.005 MB, 57.81% gc time)
  0.004508 seconds (10.45 k allocations: 4.234 MB)
  0.004797 seconds (8.71 k allocations: 4.281 MB)
  0.006353 seconds (9.68 k allocations: 4.539 MB)
  0.004810 seconds (9.61 k allocations: 4.722 MB)
  0.013081 seconds (10.96 k allocations: 5.019 MB, 44.13% gc time)
  0.007698 seconds (11.53 k allocations: 5.260 MB)
  0.008938 seconds (13.95 k allocations: 5.647 MB)
  0.005823 seconds (11.33 k allocations: 5.654 MB)
  0.012086 seconds (14.79 k allocations: 6.130 MB, 37.19% gc time)
  0.008034 seconds (14.91 k allocations: 6.356 MB)
  0.007149 seconds (12.93 k allocations: 6.425 MB)
  0.013705 seconds (19.30 k allocations: 7.137 MB, 23.53% gc time)
  0.009575 seconds (20.20 k allocations: 7.435 MB)
  0.011568 seconds (20.92 k allocations: 7.631 MB)
  0.018461 seconds (19.02 k allocations: 7.693 MB, 14.32% gc time)
  0.010301 seconds (17.61 k allocations: 7.809 MB)
  0.008896 seconds (19.28 k allocations: 8.138 MB)
  0.013671 seconds (20.72 k allocations: 8.467 MB, 19.51% gc time)
  0.010877 seconds (19.59 k allocations: 8.631 MB)
  0.016074 seconds (25.54 k allocations: 9.267 MB, 20.26% gc time)
  0.012419 seconds (25.47 k allocations: 9.490 MB)
  0.012113 seconds (23.80 k allocations: 9.647 MB)
  0.019602 seconds (24.07 k allocations: 9.914 MB, 16.97% gc time)
  0.014886 seconds (24.67 k allocations: 10.201 MB)
  0.016880 seconds (24.89 k allocations: 10.482 MB, 15.43% gc time)
  0.014733 seconds (30.18 k allocations: 11.065 MB)
  0.017765 seconds (33.91 k allocations: 11.561 MB, 17.40% gc time)
  0.016559 seconds (30.74 k allocations: 11.656 MB)
  0.023122 seconds (33.41 k allocations: 12.076 MB, 12.54% gc time)
  0.017788 seconds (33.24 k allocations: 12.350 MB)
  0.017359 seconds (31.56 k allocations: 12.559 MB, 19.49% gc time)
  0.019088 seconds (33.25 k allocations: 12.944 MB, 16.00% gc time)
  0.016608 seconds (36.22 k allocations: 13.427 MB)
  0.027365 seconds (39.62 k allocations: 13.904 MB, 13.31% gc time)
  0.018486 seconds (38.80 k allocations: 14.182 MB)
  0.021597 seconds (37.21 k allocations: 14.421 MB, 17.35% gc time)
  0.024346 seconds (44.57 k allocations: 15.137 MB, 12.61% gc time)
  0.017586 seconds (40.78 k allocations: 15.276 MB)
  0.030376 seconds (51.52 k allocations: 16.178 MB, 12.68% gc time)
  0.044137 seconds (52.21 k allocations: 16.613 MB, 8.64% gc time)
  0.024680 seconds (45.05 k allocations: 16.536 MB, 12.73% gc time)
  0.027421 seconds (58.67 k allocations: 17.569 MB)
  0.032013 seconds (47.11 k allocations: 17.340 MB, 12.49% gc time)
  0.026549 seconds (52.82 k allocations: 17.979 MB, 11.33% gc time)
  0.027171 seconds (41.63 k allocations: 17.760 MB, 10.83% gc time)
  0.039746 seconds (54.66 k allocations: 18.822 MB, 8.30% gc time)
  0.029633 seconds (51.75 k allocations: 19.044 MB)
  0.025696 seconds (48.72 k allocations: 19.259 MB, 15.94% gc time)
  0.033821 seconds (67.92 k allocations: 20.630 MB, 9.36% gc time)
  0.032545 seconds (58.46 k allocations: 20.483 MB, 10.17% gc time)
  0.024917 seconds (51.92 k allocations: 20.550 MB, 15.42% gc time)
  0.036521 seconds (62.62 k allocations: 21.525 MB, 8.44% gc time)
  0.034935 seconds (60.28 k allocations: 21.767 MB, 9.05% gc time)
  0.046860 seconds (66.65 k allocations: 22.521 MB, 5.96% gc time)
  0.040968 seconds (65.38 k allocations: 22.861 MB, 7.63% gc time)
  0.055117 seconds (79.61 k allocations: 23.988 MB, 5.76% gc time)
  0.037854 seconds (65.16 k allocations: 23.693 MB, 9.01% gc time)
  0.043963 seconds (70.09 k allocations: 24.345 MB, 6.29% gc time)
  0.047014 seconds (82.25 k allocations: 25.340 MB, 7.90% gc time)
  0.064176 seconds (69.33 k allocations: 25.146 MB, 7.52% gc time)
  0.032589 seconds (66.48 k allocations: 25.437 MB, 10.90% gc time)
  0.051156 seconds (88.13 k allocations: 26.925 MB, 7.90% gc time)")


    

    
Out[142]:





426-element Array{Float64,1}:
 0.009129
 0.009274
 0.007484
 0.010769
 0.012465
 0.014293
 0.011384
 0.014248
 0.011885
 0.02935 
 0.020161
 0.017643
 0.029638
 ⋮       
 0.024917
 0.036521
 0.034935
 0.04686 
 0.040968
 0.055117
 0.037854
 0.043963
 0.047014
 0.064176
 0.032589
 0.051156

In [143]:

    

for i in 1:6
    plot(xs, allss[(i-1)*70+1: (i-1)*70+71], label =labels[i])
end
legend()


    

    













    
Out[143]:





PyObject <matplotlib.legend.Legend object at 0x3207dc978>

In [157]:

    

m_prefs, f_prefs = DA.generate_random_preference_data(5000, 5000)
print()


    

In [154]:

    

m_matched, f_matched = @time DA.call_match(m_prefs, f_prefs)


    

    




  1.513338 seconds (1.23 M allocations: 616.941 MB, 8.54% gc time)






    
Out[154]:





([3948,1561,48,4823,1299,672,2213,187,2373,3606  …  2948,4821,2959,4898,3901,4191,1078,492,945,3125],[3248,268,4940,2461,4249,3323,31,2771,1372,2052  …  814,197,1209,192,1872,2859,2689,3962,2223,4024])

In [155]:

    

DA.stable_matching(m_matched, f_matched, m_prefs, f_prefs)


    

    
Out[155]:





true

In [156]:

    

DA.check_results(m_matched, f_matched)


    

    
Out[156]:





true

In [158]:

    

m_prefs, f_prefs = DA.generate_random_preference_data(10000, 10000)
print()


    

In [160]:

    

m_matched, f_matched = @time DA.call_match(m_prefs, f_prefs)


    

    




 11.013483 seconds (3.12 M allocations: 2.343 GB, 5.02% gc time)






    
Out[160]:





([6456,2,442,3300,9679,3334,4573,669,488,3163  …  2306,2597,4002,1180,5376,721,303,6752,1903,8266],[7047,2,9722,2898,6964,3727,1807,5150,4333,615  …  1527,5911,7902,5506,1233,2316,1569,5235,5949,2546])

In [161]:

    

DA.stable_matching(m_matched, f_matched, m_prefs, f_prefs)


    

    
Out[161]:





true

In [163]:

    

m_prefs, f_prefs = DA.generate_random_preference_data(1000, 1000)
print()


    

In [171]:

    

@time DA.call_match(m_prefs, f_prefs)


    

    




  0.036207 seconds (72.02 k allocations: 26.139 MB, 11.47% gc time)






    
Out[171]:





([143,631,393,839,702,299,317,816,0,3  …  108,447,964,156,81,682,834,811,27,490],[346,22,10,318,812,411,198,840,797,231  …  466,116,478,321,135,360,260,500,738,530])

In [172]:

    

m_prefs, f_prefs = DA.generate_random_preference_data(4, 4)
print()


    

In [174]:

    

@time DA.call_match(m_prefs, f_prefs)


    

    




  0.000061 seconds (50 allocations: 2.844 KB)






    
Out[174]:





([0,2,4,0],[0,2,0,3])

In [2]:

    

function enu()
    for (i, j) in enumerate(randn(10000000))
        i + j
    end
end

function noenu()
    c :: Int = 1
    for j in randn(10000000)
        c + j
        c += 1
    end
end


    

    
Out[2]:





noenu (generic function with 1 method)

In [17]:

    

for i in 1:100;@time enu();end
@time 2
for i in 1:100; @time noenu();end


    

    




  0.167198 seconds (5 allocations: 76.294 MB, 3.80% gc time)
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  0.100883 seconds (3 allocations: 76.294 MB, 8.22% gc time)
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  0.095241 seconds (3 allocations: 76.294 MB, 8.88% gc time)
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  0.127038 seconds (3 allocations: 76.294 MB, 6.91% gc time)
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  0.000010 seconds (66 allocations: 35.594 KB)
  0.100181 seconds (2 allocations: 76.294 MB)
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  0.089227 seconds (2 allocations: 76.294 MB)
  0.091484 seconds (2 allocations: 76.294 MB)

In [122]:

    

using PyPlot
enumeratess = map(x->parse(Float64, x), get_seconds("0.167198 seconds (5 allocations: 76.294 MB, 3.80% gc time)
  0.137401 seconds (3 allocations: 76.294 MB, 6.48% gc time)
  0.094964 seconds (3 allocations: 76.294 MB, 8.64% gc time)
  0.085530 seconds (3 allocations: 76.294 MB, 8.29% gc time)
  0.093725 seconds (3 allocations: 76.294 MB, 9.21% gc time)
  0.093181 seconds (3 allocations: 76.294 MB, 8.48% gc time)
  0.099892 seconds (3 allocations: 76.294 MB, 7.97% gc time)
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  0.089064 seconds (3 allocations: 76.294 MB, 8.99% gc time)
  0.105141 seconds (3 allocations: 76.294 MB, 7.25% gc time)
  0.104650 seconds (3 allocations: 76.294 MB, 8.36% gc time)
  0.100310 seconds (3 allocations: 76.294 MB, 7.88% gc time)
  0.106429 seconds (3 allocations: 76.294 MB, 7.67% gc time)
  0.100348 seconds (3 allocations: 76.294 MB, 8.95% gc time)
  0.105576 seconds (3 allocations: 76.294 MB, 8.02% gc time)
  0.105155 seconds (3 allocations: 76.294 MB, 8.08% gc time)
  0.126339 seconds (3 allocations: 76.294 MB, 7.04% gc time)
  0.132549 seconds (3 allocations: 76.294 MB, 7.82% gc time)
  0.116282 seconds (3 allocations: 76.294 MB, 7.24% gc time)
  0.098279 seconds (3 allocations: 76.294 MB, 8.62% gc time)
  0.094495 seconds (3 allocations: 76.294 MB, 8.02% gc time)
  0.095569 seconds (3 allocations: 76.294 MB, 8.92% gc time)
  0.113337 seconds (3 allocations: 76.294 MB, 7.99% gc time)
  0.097303 seconds (3 allocations: 76.294 MB, 7.78% gc time)
  0.084931 seconds (3 allocations: 76.294 MB, 8.82% gc time)
  0.098834 seconds (3 allocations: 76.294 MB, 7.99% gc time)
  0.091671 seconds (3 allocations: 76.294 MB, 8.73% gc time)
  0.098296 seconds (3 allocations: 76.294 MB, 9.07% gc time)
  0.092456 seconds (3 allocations: 76.294 MB, 8.59% gc time)
  0.097847 seconds (3 allocations: 76.294 MB, 7.67% gc time)
  0.093101 seconds (3 allocations: 76.294 MB, 8.04% gc time)
  0.105560 seconds (3 allocations: 76.294 MB, 8.57% gc time)
  0.117957 seconds (3 allocations: 76.294 MB, 6.57% gc time)
  0.095713 seconds (3 allocations: 76.294 MB, 8.30% gc time)
  0.092020 seconds (3 allocations: 76.294 MB, 7.81% gc time)
  0.097419 seconds (3 allocations: 76.294 MB, 7.72% gc time)
  0.087838 seconds (3 allocations: 76.294 MB, 8.64% gc time)
  0.099408 seconds (3 allocations: 76.294 MB, 7.12% gc time)
  0.092004 seconds (3 allocations: 76.294 MB, 7.77% gc time)
  0.083295 seconds (3 allocations: 76.294 MB, 8.63% gc time)
  0.101462 seconds (3 allocations: 76.294 MB, 7.12% gc time)
  0.100868 seconds (3 allocations: 76.294 MB, 8.45% gc time)
  0.110701 seconds (3 allocations: 76.294 MB, 6.44% gc time)
  0.109719 seconds (3 allocations: 76.294 MB, 7.37% gc time)
  0.106502 seconds (3 allocations: 76.294 MB, 7.72% gc time)"))
nonenumeratess = map(x -> parse(Float64, x), get_seconds("0.100181 seconds (2 allocations: 76.294 MB)
  0.093043 seconds (2 allocations: 76.294 MB)
  0.093525 seconds (2 allocations: 76.294 MB)
  0.086604 seconds (2 allocations: 76.294 MB)
  0.076211 seconds (2 allocations: 76.294 MB)
  0.088520 seconds (2 allocations: 76.294 MB)
  0.082384 seconds (2 allocations: 76.294 MB)
  0.088881 seconds (2 allocations: 76.294 MB)
  0.076502 seconds (2 allocations: 76.294 MB)
  0.089691 seconds (2 allocations: 76.294 MB)
  0.078698 seconds (2 allocations: 76.294 MB)
  0.095124 seconds (2 allocations: 76.294 MB)
  0.089579 seconds (2 allocations: 76.294 MB)
  0.076285 seconds (2 allocations: 76.294 MB)
  0.089481 seconds (2 allocations: 76.294 MB)
  0.076313 seconds (2 allocations: 76.294 MB)
  0.098841 seconds (2 allocations: 76.294 MB)
  0.104256 seconds (2 allocations: 76.294 MB)
  0.092785 seconds (2 allocations: 76.294 MB)
  0.091698 seconds (2 allocations: 76.294 MB)
  0.093382 seconds (2 allocations: 76.294 MB)
  0.092864 seconds (2 allocations: 76.294 MB)
  0.092272 seconds (2 allocations: 76.294 MB)
  0.096945 seconds (2 allocations: 76.294 MB)
  0.089382 seconds (2 allocations: 76.294 MB)
  0.085519 seconds (2 allocations: 76.294 MB)
  0.086801 seconds (2 allocations: 76.294 MB)
  0.085951 seconds (2 allocations: 76.294 MB)
  0.085906 seconds (2 allocations: 76.294 MB)
  0.080510 seconds (2 allocations: 76.294 MB)
  0.092428 seconds (2 allocations: 76.294 MB)
  0.086367 seconds (2 allocations: 76.294 MB)
  0.077330 seconds (2 allocations: 76.294 MB)
  0.088862 seconds (2 allocations: 76.294 MB)
  0.080822 seconds (2 allocations: 76.294 MB)
  0.084744 seconds (2 allocations: 76.294 MB)
  0.078448 seconds (2 allocations: 76.294 MB)
  0.087923 seconds (2 allocations: 76.294 MB)
  0.085362 seconds (2 allocations: 76.294 MB)
  0.086068 seconds (2 allocations: 76.294 MB)
  0.083691 seconds (2 allocations: 76.294 MB)
  0.101103 seconds (2 allocations: 76.294 MB)
  0.103427 seconds (2 allocations: 76.294 MB)
  0.107509 seconds (2 allocations: 76.294 MB)
  0.086434 seconds (2 allocations: 76.294 MB)
  0.082921 seconds (2 allocations: 76.294 MB)
  0.090709 seconds (2 allocations: 76.294 MB)
  0.088764 seconds (2 allocations: 76.294 MB)
  0.085019 seconds (2 allocations: 76.294 MB)
  0.092333 seconds (2 allocations: 76.294 MB)
  0.093482 seconds (2 allocations: 76.294 MB)
  0.094873 seconds (2 allocations: 76.294 MB)
  0.094542 seconds (2 allocations: 76.294 MB)
  0.097255 seconds (2 allocations: 76.294 MB)
  0.085828 seconds (2 allocations: 76.294 MB)
  0.091740 seconds (2 allocations: 76.294 MB)
  0.092887 seconds (2 allocations: 76.294 MB)
  0.087477 seconds (2 allocations: 76.294 MB)
  0.084804 seconds (2 allocations: 76.294 MB)
  0.091296 seconds (2 allocations: 76.294 MB)
  0.092048 seconds (2 allocations: 76.294 MB)
  0.120658 seconds (2 allocations: 76.294 MB)
  0.109678 seconds (2 allocations: 76.294 MB)
  0.098632 seconds (2 allocations: 76.294 MB)
  0.098096 seconds (2 allocations: 76.294 MB)
  0.086975 seconds (2 allocations: 76.294 MB)
  0.085568 seconds (2 allocations: 76.294 MB)
  0.101370 seconds (2 allocations: 76.294 MB)
  0.092510 seconds (2 allocations: 76.294 MB)
  0.097316 seconds (2 allocations: 76.294 MB)
  0.107693 seconds (2 allocations: 76.294 MB)
  0.097088 seconds (2 allocations: 76.294 MB)
  0.089996 seconds (2 allocations: 76.294 MB)
  0.087665 seconds (2 allocations: 76.294 MB)
  0.081469 seconds (2 allocations: 76.294 MB)
  0.085978 seconds (2 allocations: 76.294 MB)
  0.080920 seconds (2 allocations: 76.294 MB)
  0.094150 seconds (2 allocations: 76.294 MB)
  0.088175 seconds (2 allocations: 76.294 MB)
  0.076120 seconds (2 allocations: 76.294 MB)
  0.083732 seconds (2 allocations: 76.294 MB)
  0.079208 seconds (2 allocations: 76.294 MB)
  0.089776 seconds (2 allocations: 76.294 MB)
  0.082563 seconds (2 allocations: 76.294 MB)
  0.085032 seconds (2 allocations: 76.294 MB)
  0.081346 seconds (2 allocations: 76.294 MB)
  0.089990 seconds (2 allocations: 76.294 MB)
  0.085733 seconds (2 allocations: 76.294 MB)
  0.096164 seconds (2 allocations: 76.294 MB)
  0.084092 seconds (2 allocations: 76.294 MB)
  0.085948 seconds (2 allocations: 76.294 MB)
  0.087956 seconds (2 allocations: 76.294 MB)
  0.080338 seconds (2 allocations: 76.294 MB)
  0.086184 seconds (2 allocations: 76.294 MB)
  0.082534 seconds (2 allocations: 76.294 MB)
  0.093430 seconds (2 allocations: 76.294 MB)
  0.089243 seconds (2 allocations: 76.294 MB)
  0.084519 seconds (2 allocations: 76.294 MB)
  0.089227 seconds (2 allocations: 76.294 MB)
  0.091484 seconds (2 allocations: 76.294 MB)"))
plot(enumeratess, label="enumerate()")
plot(nonenumeratess, label ="no enumerate()")
legend()


    

    













    
Out[122]:





PyObject <matplotlib.legend.Legend object at 0x31e9d5828>

In [22]:

    

println(mean(enumeratess)) # enumerate
println(mean(nonenumeratess)) #non enumerate


    

    




0.10024653000000003
0.08943185999999997

In [23]:

    

using HypothesisTests


    

    




INFO: Precompiling module HypothesisTests...
INFO: Recompiling stale cache file /Users/neon/.julia/lib/v0.4/Polynomials.ji for module Polynomials.
INFO: Recompiling stale cache file /Users/neon/.julia/lib/v0.4/Calculus.ji for module Calculus.

In [25]:

    

EqualVarianceTTest(enumeratess, nonenumeratess)


    

    
Out[25]:





Two sample t-test (equal variance)
----------------------------------
Population details:
    parameter of interest:   Mean difference
    value under h_0:         0
    point estimate:          0.010814670000000054
    95% confidence interval: (0.008009160104718117,0.01362017989528199)

Test summary:
    outcome with 95% confidence: reject h_0
    two-sided p-value:           1.1453797369173158e-12 (extremely significant)

Details:
    number of observations:   [100,100]
    t-statistic:              7.601726264768331
    degrees of freedom:       198
    empirical standard error: 0.0014226597516570324

In [40]:

    

function accessbyrow(M, nrows, ncols)
    for c in 1:nrows
        for e in M[c, :]
            e += 1
        end
    end
end

function accessbycol(M, nrows, ncols)
    for c in 1:ncols
        for e in M[:, c]
            e += 1
        end
    end
end


    

    
Out[40]:





accessbycol (generic function with 1 method)

In [51]:

    

nrows, ncols = 1000, 1000
M = randn(nrows, ncols)
for i in 1:20
    @time accessbyrow(M, nrows, ncols)
    @time accessbycol(M, nrows, ncols)
end
M = randn(nrows, ncols)
for i in 1:20
    @time accessbyrow(M, nrows, ncols)
    @time accessbycol(M, nrows, ncols)
end


    

    




  0.011085 seconds (3.98 k allocations: 7.766 MB)
  0.002932 seconds (3.98 k allocations: 7.751 MB)
  0.013357 seconds (3.98 k allocations: 7.766 MB, 18.84% gc time)
  0.003136 seconds (3.98 k allocations: 7.751 MB)
  0.013264 seconds (3.98 k allocations: 7.766 MB)
  0.009050 seconds (3.98 k allocations: 7.751 MB, 36.69% gc time)
  0.021915 seconds (3.98 k allocations: 7.766 MB)
  0.003747 seconds (3.98 k allocations: 7.751 MB)
  0.018888 seconds (3.98 k allocations: 7.766 MB, 16.53% gc time)
  0.002876 seconds (3.98 k allocations: 7.751 MB)
  0.017344 seconds (3.98 k allocations: 7.766 MB)
  0.006816 seconds (3.98 k allocations: 7.751 MB, 49.66% gc time)
  0.021415 seconds (3.98 k allocations: 7.766 MB)
  0.005029 seconds (3.98 k allocations: 7.751 MB)
  0.022290 seconds (3.98 k allocations: 7.766 MB, 21.16% gc time)
  0.003039 seconds (3.98 k allocations: 7.751 MB)
  0.015354 seconds (3.98 k allocations: 7.766 MB, 19.79% gc time)
  0.003054 seconds (3.98 k allocations: 7.751 MB)
  0.010739 seconds (3.98 k allocations: 7.766 MB)
  0.005081 seconds (3.98 k allocations: 7.751 MB, 46.68% gc time)
  0.011655 seconds (3.98 k allocations: 7.766 MB)
  0.003272 seconds (3.98 k allocations: 7.751 MB)
  0.026492 seconds (3.98 k allocations: 7.766 MB, 25.97% gc time)
  0.003186 seconds (3.98 k allocations: 7.751 MB)
  0.012102 seconds (3.98 k allocations: 7.766 MB)
  0.004561 seconds (3.98 k allocations: 7.751 MB, 49.06% gc time)
  0.011768 seconds (3.98 k allocations: 7.766 MB)
  0.003375 seconds (3.98 k allocations: 7.751 MB)
  0.018634 seconds (3.98 k allocations: 7.766 MB, 16.62% gc time)
  0.004808 seconds (3.98 k allocations: 7.751 MB)
  0.013937 seconds (3.98 k allocations: 7.766 MB, 16.49% gc time)
  0.003166 seconds (3.98 k allocations: 7.751 MB)
  0.012127 seconds (3.98 k allocations: 7.766 MB)
  0.005617 seconds (3.98 k allocations: 7.751 MB, 52.71% gc time)
  0.015503 seconds (3.98 k allocations: 7.766 MB)
  0.002987 seconds (3.98 k allocations: 7.751 MB)
  0.015352 seconds (3.98 k allocations: 7.766 MB, 19.67% gc time)
  0.002370 seconds (3.98 k allocations: 7.751 MB)
  0.010550 seconds (3.98 k allocations: 7.766 MB)
  0.004034 seconds (3.98 k allocations: 7.751 MB, 46.81% gc time)
  0.011186 seconds (3.98 k allocations: 7.766 MB)
  0.004250 seconds (3.98 k allocations: 7.751 MB, 44.13% gc time)
  0.011084 seconds (3.98 k allocations: 7.766 MB)
  0.007388 seconds (3.98 k allocations: 7.751 MB, 39.72% gc time)
  0.016335 seconds (3.98 k allocations: 7.766 MB)
  0.002385 seconds (3.98 k allocations: 7.751 MB)
  0.012555 seconds (3.98 k allocations: 7.766 MB, 11.49% gc time)
  0.002182 seconds (3.98 k allocations: 7.751 MB)
  0.011406 seconds (3.98 k allocations: 7.766 MB)
  0.004352 seconds (3.98 k allocations: 7.751 MB, 48.66% gc time)
  0.011143 seconds (3.98 k allocations: 7.766 MB)
  0.002799 seconds (3.98 k allocations: 7.751 MB)
  0.014171 seconds (3.98 k allocations: 7.766 MB, 16.97% gc time)
  0.002394 seconds (3.98 k allocations: 7.751 MB)
  0.012421 seconds (3.98 k allocations: 7.766 MB)
  0.003992 seconds (3.98 k allocations: 7.751 MB, 37.39% gc time)
  0.015291 seconds (3.98 k allocations: 7.766 MB)
  0.008095 seconds (3.98 k allocations: 7.751 MB, 50.98% gc time)
  0.010390 seconds (3.98 k allocations: 7.766 MB)
  0.003190 seconds (3.98 k allocations: 7.751 MB)
  0.013779 seconds (3.98 k allocations: 7.766 MB, 21.01% gc time)
  0.002708 seconds (3.98 k allocations: 7.751 MB)
  0.010881 seconds (3.98 k allocations: 7.766 MB)
  0.005634 seconds (3.98 k allocations: 7.751 MB, 50.61% gc time)
  0.010563 seconds (3.98 k allocations: 7.766 MB)
  0.002560 seconds (3.98 k allocations: 7.751 MB)
  0.013010 seconds (3.98 k allocations: 7.766 MB, 17.67% gc time)
  0.003136 seconds (3.98 k allocations: 7.751 MB)
  0.027117 seconds (3.98 k allocations: 7.766 MB)
  0.005320 seconds (3.98 k allocations: 7.751 MB, 54.46% gc time)
  0.011453 seconds (3.98 k allocations: 7.766 MB)
  0.003000 seconds (3.98 k allocations: 7.751 MB)
  0.012691 seconds (3.98 k allocations: 7.766 MB, 17.85% gc time)
  0.002749 seconds (3.98 k allocations: 7.751 MB)
  0.012887 seconds (3.98 k allocations: 7.766 MB, 16.36% gc time)
  0.002448 seconds (3.98 k allocations: 7.751 MB)
  0.011816 seconds (3.98 k allocations: 7.766 MB)
  0.005378 seconds (3.98 k allocations: 7.751 MB, 41.76% gc time)
  0.010930 seconds (3.98 k allocations: 7.766 MB)
  0.002924 seconds (3.98 k allocations: 7.751 MB)

In [54]:

    

ss = map(x -> parse(Float64, x), get_seconds("0.011085 seconds (3.98 k allocations: 7.766 MB)
  0.002932 seconds (3.98 k allocations: 7.751 MB)
  0.013357 seconds (3.98 k allocations: 7.766 MB, 18.84% gc time)
  0.003136 seconds (3.98 k allocations: 7.751 MB)
  0.013264 seconds (3.98 k allocations: 7.766 MB)
  0.009050 seconds (3.98 k allocations: 7.751 MB, 36.69% gc time)
  0.021915 seconds (3.98 k allocations: 7.766 MB)
  0.003747 seconds (3.98 k allocations: 7.751 MB)
  0.018888 seconds (3.98 k allocations: 7.766 MB, 16.53% gc time)
  0.002876 seconds (3.98 k allocations: 7.751 MB)
  0.017344 seconds (3.98 k allocations: 7.766 MB)
  0.006816 seconds (3.98 k allocations: 7.751 MB, 49.66% gc time)
  0.021415 seconds (3.98 k allocations: 7.766 MB)
  0.005029 seconds (3.98 k allocations: 7.751 MB)
  0.022290 seconds (3.98 k allocations: 7.766 MB, 21.16% gc time)
  0.003039 seconds (3.98 k allocations: 7.751 MB)
  0.015354 seconds (3.98 k allocations: 7.766 MB, 19.79% gc time)
  0.003054 seconds (3.98 k allocations: 7.751 MB)
  0.010739 seconds (3.98 k allocations: 7.766 MB)
  0.005081 seconds (3.98 k allocations: 7.751 MB, 46.68% gc time)
  0.011655 seconds (3.98 k allocations: 7.766 MB)
  0.003272 seconds (3.98 k allocations: 7.751 MB)
  0.026492 seconds (3.98 k allocations: 7.766 MB, 25.97% gc time)
  0.003186 seconds (3.98 k allocations: 7.751 MB)
  0.012102 seconds (3.98 k allocations: 7.766 MB)
  0.004561 seconds (3.98 k allocations: 7.751 MB, 49.06% gc time)
  0.011768 seconds (3.98 k allocations: 7.766 MB)
  0.003375 seconds (3.98 k allocations: 7.751 MB)
  0.018634 seconds (3.98 k allocations: 7.766 MB, 16.62% gc time)
  0.004808 seconds (3.98 k allocations: 7.751 MB)
  0.013937 seconds (3.98 k allocations: 7.766 MB, 16.49% gc time)
  0.003166 seconds (3.98 k allocations: 7.751 MB)
  0.012127 seconds (3.98 k allocations: 7.766 MB)
  0.005617 seconds (3.98 k allocations: 7.751 MB, 52.71% gc time)
  0.015503 seconds (3.98 k allocations: 7.766 MB)
  0.002987 seconds (3.98 k allocations: 7.751 MB)
  0.015352 seconds (3.98 k allocations: 7.766 MB, 19.67% gc time)
  0.002370 seconds (3.98 k allocations: 7.751 MB)
  0.010550 seconds (3.98 k allocations: 7.766 MB)
  0.004034 seconds (3.98 k allocations: 7.751 MB, 46.81% gc time)
  0.011186 seconds (3.98 k allocations: 7.766 MB)
  0.004250 seconds (3.98 k allocations: 7.751 MB, 44.13% gc time)
  0.011084 seconds (3.98 k allocations: 7.766 MB)
  0.007388 seconds (3.98 k allocations: 7.751 MB, 39.72% gc time)
  0.016335 seconds (3.98 k allocations: 7.766 MB)
  0.002385 seconds (3.98 k allocations: 7.751 MB)
  0.012555 seconds (3.98 k allocations: 7.766 MB, 11.49% gc time)
  0.002182 seconds (3.98 k allocations: 7.751 MB)
  0.011406 seconds (3.98 k allocations: 7.766 MB)
  0.004352 seconds (3.98 k allocations: 7.751 MB, 48.66% gc time)
  0.011143 seconds (3.98 k allocations: 7.766 MB)
  0.002799 seconds (3.98 k allocations: 7.751 MB)
  0.014171 seconds (3.98 k allocations: 7.766 MB, 16.97% gc time)
  0.002394 seconds (3.98 k allocations: 7.751 MB)
  0.012421 seconds (3.98 k allocations: 7.766 MB)
  0.003992 seconds (3.98 k allocations: 7.751 MB, 37.39% gc time)
  0.015291 seconds (3.98 k allocations: 7.766 MB)
  0.008095 seconds (3.98 k allocations: 7.751 MB, 50.98% gc time)
  0.010390 seconds (3.98 k allocations: 7.766 MB)
  0.003190 seconds (3.98 k allocations: 7.751 MB)
  0.013779 seconds (3.98 k allocations: 7.766 MB, 21.01% gc time)
  0.002708 seconds (3.98 k allocations: 7.751 MB)
  0.010881 seconds (3.98 k allocations: 7.766 MB)
  0.005634 seconds (3.98 k allocations: 7.751 MB, 50.61% gc time)
  0.010563 seconds (3.98 k allocations: 7.766 MB)
  0.002560 seconds (3.98 k allocations: 7.751 MB)
  0.013010 seconds (3.98 k allocations: 7.766 MB, 17.67% gc time)
  0.003136 seconds (3.98 k allocations: 7.751 MB)
  0.027117 seconds (3.98 k allocations: 7.766 MB)
  0.005320 seconds (3.98 k allocations: 7.751 MB, 54.46% gc time)
  0.011453 seconds (3.98 k allocations: 7.766 MB)
  0.003000 seconds (3.98 k allocations: 7.751 MB)
  0.012691 seconds (3.98 k allocations: 7.766 MB, 17.85% gc time)
  0.002749 seconds (3.98 k allocations: 7.751 MB)
  0.012887 seconds (3.98 k allocations: 7.766 MB, 16.36% gc time)
  0.002448 seconds (3.98 k allocations: 7.751 MB)
  0.011816 seconds (3.98 k allocations: 7.766 MB)
  0.005378 seconds (3.98 k allocations: 7.751 MB, 41.76% gc time)
  0.010930 seconds (3.98 k allocations: 7.766 MB)
  0.002924 seconds (3.98 k allocations: 7.751 MB)"))

plot(ss[1:2:80], label="access by row")
plot(ss[2:2:80], label="access by column")
legend()


    

    













    
Out[54]:





PyObject <matplotlib.legend.Legend object at 0x31fbd0a20>

In [69]:

    

function cln(V, l)#要素ごとにアクセスして演算
    for e in V[:]
        e += 1
    end
end

function cln2(V, l)#要素全てにまとめて演算
    V .+= 1
end

function ncln(V, l)#要素ごとに配列でアクセスして演算
    for i in 1:l
        V[i] += 1
    end
end


    

    
Out[69]:





ncln (generic function with 2 methods)

In [67]:

    

l = 50000
V = randn(l)
for i in 1:20
    @time cln(V, l)
    @time cln2(V, l)
    @time ncln(V, l)
end
V = randn(l)
for i in 1:20
    @time cln(V, l)
    @time cln2(V, l)
    @time ncln(V, l)
end


    

    




  0.000302 seconds (2 allocations: 390.688 KB)
  0.000241 seconds (2 allocations: 390.688 KB)
  0.000073 seconds
  0.000226 seconds (2 allocations: 390.688 KB)
  0.000187 seconds (2 allocations: 390.688 KB)
  0.000071 seconds
  0.000262 seconds (2 allocations: 390.688 KB)
  0.000181 seconds (2 allocations: 390.688 KB)
  0.000071 seconds
  0.000244 seconds (2 allocations: 390.688 KB)
  0.000227 seconds (2 allocations: 390.688 KB)
  0.000130 seconds
  0.000078 seconds (2 allocations: 390.688 KB)
  0.000115 seconds (2 allocations: 390.688 KB)
  0.000071 seconds
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  0.000401 seconds (2 allocations: 390.688 KB)
  0.000355 seconds (2 allocations: 390.688 KB)
  0.000128 seconds

In [121]:

    

ss = map(x -> parse(Float64, x), get_seconds(" 0.000302 seconds (2 allocations: 390.688 KB)
  0.000241 seconds (2 allocations: 390.688 KB)
  0.000073 seconds
  0.000226 seconds (2 allocations: 390.688 KB)
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  0.000294 seconds (2 allocations: 390.688 KB)
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  0.000071 seconds
  0.000242 seconds (2 allocations: 390.688 KB)
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  0.000232 seconds (2 allocations: 390.688 KB)
  0.000221 seconds (2 allocations: 390.688 KB)
  0.000071 seconds
  0.000297 seconds (2 allocations: 390.688 KB)
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  0.000077 seconds
  0.000969 seconds (2 allocations: 390.688 KB)
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  0.000114 seconds
  0.000390 seconds (2 allocations: 390.688 KB)
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  0.000120 seconds
  0.000386 seconds (2 allocations: 390.688 KB)
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  0.000335 seconds (2 allocations: 390.688 KB)
  0.000248 seconds (2 allocations: 390.688 KB)
  0.000077 seconds
  0.000301 seconds (2 allocations: 390.688 KB)
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  0.000588 seconds (2 allocations: 390.688 KB)
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  0.000389 seconds (2 allocations: 390.688 KB)
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  0.000072 seconds (2 allocations: 390.688 KB)
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  0.000355 seconds (2 allocations: 390.688 KB)
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  0.000118 seconds
  0.000401 seconds (2 allocations: 390.688 KB)
  0.000355 seconds (2 allocations: 390.688 KB)
  0.000128 seconds"))

plot(ss[1:3:120], label="element iteration")
plot(ss[2:3:120], label="elementwise")
plot(ss[3:3:120], label="index iteration")
legend()


    

    













    
Out[121]:





PyObject <matplotlib.legend.Legend object at 0x31e335128>

In [71]:

    

function usewhile(max::Int)
    c::Int = 1
    while c <= max
        1 + 2
        c += 1
    end
end

function usefor(max::Int)
    for c in 1:max
        1 + 2
    end
end


    

    
Out[71]:





usefor (generic function with 1 method)

In [72]:

    

for i in 1:10; @time usewhile(100000000); end


    

    




  0.035203 seconds
  0.036081 seconds
  0.046439 seconds
  0.035142 seconds
  0.041064 seconds
  0.067063 seconds
  0.048078 seconds
  0.036587 seconds
  0.041598 seconds
  0.040113 seconds

In [73]:

    

for i in 1:10; @time usefor(100000000); end


    

    




  0.000001 seconds
  0.000000 seconds
  0.000000 seconds
  0.000000 seconds
  0.000000 seconds
  0.000000 seconds
  0.000000 seconds
  0.000000 seconds
  0.000000 seconds
  0.000000 seconds

In [80]:

    

function uselistcomprehension(l)
    Int[1+3 for i in 1:l]
end

function uselistcomprehension2(l)
    [1+3 for i in 1:l]
end

function useforloop(l)
    for i in 1:l
        1+3
    end
end


    

    
Out[80]:





useforloop (generic function with 1 method)

In [88]:

    

l = 10000000
for i in 1:20; @time uselistcomprehension(l); end
for i in 1:20; @time uselistcomprehension2(l); end
for i in 1:20; @time useforloop(l); end


    

    




  0.061237 seconds (2 allocations: 76.294 MB)
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  0.000003 seconds
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  0.000000 seconds
  0.000000 seconds
  0.000001 seconds
  0.000000 seconds
  0.000000 seconds
  0.000000 seconds
  0.000001 seconds

In [89]:

    

ss2 = map(x -> parse(Float64, x), get_seconds("0.061237 seconds (2 allocations: 76.294 MB)
  0.017674 seconds (2 allocations: 76.294 MB)
  0.018529 seconds (2 allocations: 76.294 MB)
  0.018085 seconds (2 allocations: 76.294 MB)
  0.018240 seconds (2 allocations: 76.294 MB)
  0.019275 seconds (2 allocations: 76.294 MB)
  0.023673 seconds (2 allocations: 76.294 MB)
  0.022596 seconds (2 allocations: 76.294 MB)
  0.024667 seconds (2 allocations: 76.294 MB)
  0.021204 seconds (2 allocations: 76.294 MB)
  0.024639 seconds (2 allocations: 76.294 MB)
  0.022118 seconds (2 allocations: 76.294 MB)
  0.024306 seconds (2 allocations: 76.294 MB)
  0.020537 seconds (2 allocations: 76.294 MB)
  0.018549 seconds (2 allocations: 76.294 MB)
  0.018955 seconds (2 allocations: 76.294 MB)
  0.021216 seconds (2 allocations: 76.294 MB)
  0.019180 seconds (2 allocations: 76.294 MB)
  0.019217 seconds (2 allocations: 76.294 MB)
  0.019380 seconds (2 allocations: 76.294 MB)
  0.019432 seconds (2 allocations: 76.294 MB)
  0.019005 seconds (2 allocations: 76.294 MB)
  0.019543 seconds (2 allocations: 76.294 MB)
  0.024634 seconds (2 allocations: 76.294 MB)
  0.020661 seconds (2 allocations: 76.294 MB)
  0.021535 seconds (2 allocations: 76.294 MB)
  0.020270 seconds (2 allocations: 76.294 MB)
  0.027304 seconds (2 allocations: 76.294 MB)
  0.020120 seconds (2 allocations: 76.294 MB)
  0.021851 seconds (2 allocations: 76.294 MB)
  0.020975 seconds (2 allocations: 76.294 MB)
  0.021745 seconds (2 allocations: 76.294 MB)
  0.018803 seconds (2 allocations: 76.294 MB)
  0.019773 seconds (2 allocations: 76.294 MB)
  0.019087 seconds (2 allocations: 76.294 MB)
  0.024007 seconds (2 allocations: 76.294 MB)
  0.019811 seconds (2 allocations: 76.294 MB)
  0.018926 seconds (2 allocations: 76.294 MB)
  0.025049 seconds (2 allocations: 76.294 MB)
  0.019534 seconds (2 allocations: 76.294 MB)
  0.000003 seconds
  0.000001 seconds
  0.000001 seconds
  0.000001 seconds
  0.000001 seconds
  0.000001 seconds
  0.000002 seconds
  0.000001 seconds
  0.000001 seconds
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  0.000001 seconds
  0.000001 seconds
  0.000001 seconds
  0.000000 seconds
  0.000000 seconds
  0.000001 seconds
  0.000000 seconds
  0.000000 seconds
  0.000000 seconds
  0.000001 seconds"))
plot(ss2[1:20], label="list comprehension")
plot(ss2[21:40], label="type specified list comprehension")
plot(ss2[41:60], label="for loop")
legend()


    

    













    
Out[89]:





PyObject <matplotlib.legend.Legend object at 0x31de10ac8>

In [101]:

    

function uselistcomprehension2(l)
    [1+3 for i in 1:l]
end

function useforloop2(l)
    xs = Array(Int, l)
    for i in 1:l
        xs[i] = 1+3
    end
    xs
end


    

    
Out[101]:





useforloop2 (generic function with 1 method)

In [111]:

    

l = 1000000
for i in 1:200; @time uselistcomprehension2(l); end
for i in 1:200; @time useforloop2(l); end


    

    




  0.004035 seconds (2 allocations: 7.629 MB)
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  0.001956 seconds (2 allocations: 7.629 MB)
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  0.001973 seconds (2 allocations: 7.629 MB)
  0.001968 seconds (2 allocations: 7.629 MB)
  0.001925 seconds (2 allocations: 7.629 MB)
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  0.001977 seconds (2 allocations: 7.629 MB)
  0.002029 seconds (2 allocations: 7.629 MB)
  0.002025 seconds (2 allocations: 7.629 MB)
  0.002043 seconds (2 allocations: 7.629 MB)
  0.002041 seconds (2 allocations: 7.629 MB)
  0.002023 seconds (2 allocations: 7.629 MB)
  0.002206 seconds (2 allocations: 7.629 MB)
  0.002141 seconds (2 allocations: 7.629 MB)
  0.001933 seconds (2 allocations: 7.629 MB)
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  0.001918 seconds (2 allocations: 7.629 MB)
  0.001948 seconds (2 allocations: 7.629 MB)
  0.002374 seconds (2 allocations: 7.629 MB)
  0.002186 seconds (2 allocations: 7.629 MB)
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  0.001982 seconds (2 allocations: 7.629 MB)
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  0.002189 seconds (2 allocations: 7.629 MB)
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  0.002203 seconds (2 allocations: 7.629 MB)
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  0.002205 seconds (2 allocations: 7.629 MB)
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  0.001950 seconds (2 allocations: 7.629 MB)
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  0.002807 seconds (2 allocations: 7.629 MB)
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In [124]:

    

ss3 = get_seconds("0.004035 seconds (2 allocations: 7.629 MB)
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  0.001956 seconds (2 allocations: 7.629 MB)
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  0.001725 seconds (2 allocations: 7.629 MB)
  0.001844 seconds (2 allocations: 7.629 MB)
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  0.001816 seconds (2 allocations: 7.629 MB)
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  0.001933 seconds (2 allocations: 7.629 MB)
  0.001889 seconds (2 allocations: 7.629 MB)
  0.001977 seconds (2 allocations: 7.629 MB)
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  0.001821 seconds (2 allocations: 7.629 MB)
  0.001984 seconds (2 allocations: 7.629 MB)
  0.001959 seconds (2 allocations: 7.629 MB)
  0.001778 seconds (2 allocations: 7.629 MB)
  0.001848 seconds (2 allocations: 7.629 MB)
  0.001924 seconds (2 allocations: 7.629 MB)
  0.001727 seconds (2 allocations: 7.629 MB)
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  0.001835 seconds (2 allocations: 7.629 MB)
  0.001727 seconds (2 allocations: 7.629 MB)
  0.001989 seconds (2 allocations: 7.629 MB)
  0.002033 seconds (2 allocations: 7.629 MB)
  0.001926 seconds (2 allocations: 7.629 MB)
  0.001970 seconds (2 allocations: 7.629 MB)
  0.001928 seconds (2 allocations: 7.629 MB)
  0.001798 seconds (2 allocations: 7.629 MB)
  0.002002 seconds (2 allocations: 7.629 MB)
  0.002025 seconds (2 allocations: 7.629 MB)
  0.001968 seconds (2 allocations: 7.629 MB)
  0.001938 seconds (2 allocations: 7.629 MB)
  0.001956 seconds (2 allocations: 7.629 MB)
  0.002405 seconds (2 allocations: 7.629 MB)
  0.002079 seconds (2 allocations: 7.629 MB)
  0.002259 seconds (2 allocations: 7.629 MB)
  0.002226 seconds (2 allocations: 7.629 MB)
  0.002433 seconds (2 allocations: 7.629 MB)
  0.002174 seconds (2 allocations: 7.629 MB)
  0.002313 seconds (2 allocations: 7.629 MB)
  0.002065 seconds (2 allocations: 7.629 MB)
  0.002451 seconds (2 allocations: 7.629 MB)
  0.002351 seconds (2 allocations: 7.629 MB)
  0.001972 seconds (2 allocations: 7.629 MB)
  0.001963 seconds (2 allocations: 7.629 MB)
  0.001890 seconds (2 allocations: 7.629 MB)
  0.001963 seconds (2 allocations: 7.629 MB)
  0.001983 seconds (2 allocations: 7.629 MB)
  0.001922 seconds (2 allocations: 7.629 MB)
  0.001950 seconds (2 allocations: 7.629 MB)
  0.001924 seconds (2 allocations: 7.629 MB)
  0.002036 seconds (2 allocations: 7.629 MB)
  0.002031 seconds (2 allocations: 7.629 MB)
  0.002708 seconds (2 allocations: 7.629 MB)
  0.001975 seconds (2 allocations: 7.629 MB)
  0.001973 seconds (2 allocations: 7.629 MB)
  0.001968 seconds (2 allocations: 7.629 MB)
  0.001925 seconds (2 allocations: 7.629 MB)
  0.001958 seconds (2 allocations: 7.629 MB)
  0.001977 seconds (2 allocations: 7.629 MB)
  0.002029 seconds (2 allocations: 7.629 MB)
  0.002025 seconds (2 allocations: 7.629 MB)
  0.002043 seconds (2 allocations: 7.629 MB)
  0.002041 seconds (2 allocations: 7.629 MB)
  0.002023 seconds (2 allocations: 7.629 MB)
  0.002206 seconds (2 allocations: 7.629 MB)
  0.002141 seconds (2 allocations: 7.629 MB)
  0.001933 seconds (2 allocations: 7.629 MB)
  0.001911 seconds (2 allocations: 7.629 MB)
  0.001848 seconds (2 allocations: 7.629 MB)
  0.001915 seconds (2 allocations: 7.629 MB)
  0.001985 seconds (2 allocations: 7.629 MB)
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  0.001918 seconds (2 allocations: 7.629 MB)
  0.001948 seconds (2 allocations: 7.629 MB)
  0.002374 seconds (2 allocations: 7.629 MB)
  0.002186 seconds (2 allocations: 7.629 MB)
  0.002147 seconds (2 allocations: 7.629 MB)
  0.001898 seconds (2 allocations: 7.629 MB)
  0.001982 seconds (2 allocations: 7.629 MB)
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  0.002623 seconds (2 allocations: 7.629 MB)
  0.002333 seconds (2 allocations: 7.629 MB)
  0.002231 seconds (2 allocations: 7.629 MB)
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  0.002427 seconds (2 allocations: 7.629 MB)
  0.002347 seconds (2 allocations: 7.629 MB)
  0.002189 seconds (2 allocations: 7.629 MB)
  0.002238 seconds (2 allocations: 7.629 MB)
  0.002313 seconds (2 allocations: 7.629 MB)
  0.002045 seconds (2 allocations: 7.629 MB)
  0.002203 seconds (2 allocations: 7.629 MB)
  0.002302 seconds (2 allocations: 7.629 MB)
  0.002135 seconds (2 allocations: 7.629 MB)
  0.002220 seconds (2 allocations: 7.629 MB)
  0.002224 seconds (2 allocations: 7.629 MB)
  0.002139 seconds (2 allocations: 7.629 MB)
  0.002205 seconds (2 allocations: 7.629 MB)
  0.002277 seconds (2 allocations: 7.629 MB)
  0.002812 seconds (2 allocations: 7.629 MB)
  0.002137 seconds (2 allocations: 7.629 MB)
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ss3 = map(x -> parse(Float64, x), ss3)
plot(ss3[1:200], label="list comprehension")
plot(ss3[201:400], label="for loop")
legend()


    

    













    
Out[124]:





PyObject <matplotlib.legend.Legend object at 0x3186136d8>

In [114]:

    

println(mean(ss3[1:200]))
println(mean(ss3[201:400]))


    

    




0.00214382
0.0030613550000000004

In [119]:

    

println(var(ss3[1:200]))
println(var(ss3[201:400]))


    

    




1.8146825889447233e-7
2.4481314763567836e-6

In [125]:

    

UnequalVarianceTTest(ss3[1:200], ss3[201:400])


    

    
Out[125]:





Two sample t-test (unequal variance)
------------------------------------
Population details:
    parameter of interest:   Mean difference
    value under h_0:         0
    point estimate:          -0.0009175350000000006
    95% confidence interval: (-0.0011434712312310754,-0.0006915987687689258)

Test summary:
    outcome with 95% confidence: reject h_0
    two-sided p-value:           6.154100229042786e-14 (extremely significant)

Details:
    number of observations:   [200,200]
    t-statistic:              -8.001894365119986
    degrees of freedom:       228.34062002695802
    empirical standard error: 0.00011466472289355728

In [ ]:

    




    

In [23]:

    

function findminindex(xs)
    ind = 1
    for i in 1:length(xs)
        if xs[ind] > xs[i]
            ind = i
        end
    end
    return ind
end


    

    
Out[23]:





findminindex (generic function with 1 method)

In [24]:

    

xs = shuffle(collect(1:1000000))
t1s = []
t2s = []
for i in 1:100
    _, t1, _, _, _ = @timed indmin(xs)
    _, t2, _, _, _ = @timed findminindex(xs)
    push!(t1s, t1)
    push!(t2s, t2)
end


    

In [25]:

    

using PyPlot
plot(t1s, label="indmin()")
plot(t2s, label="findminindex()")
legend()


    

    













    
Out[25]:





PyObject <matplotlib.legend.Legend object at 0x309dfdb38>

In [35]:

    

function noinbounds(xs)
    for i in 1:length(xs)
        xs[i] = xs[xs[i]]
    end
end

@inbounds function inbounds(xs)
    for i in 1:length(xs)
        xs[i] = xs[xs[i]]
    end
end


    

In [36]:

    

xs = shuffle(collect(1:1000000))
t1s = []
t2s = []
for i in 1:100
    _, t1, _, _, _ = @timed inbounds(xs)
    _, t2, _, _, _ = @timed noinbounds(xs)
    push!(t1s, t1)
    push!(t2s, t2)
end


    

In [37]:

    

using PyPlot
plot(t1s, label="inbounds()")
plot(t2s, label="noinbounds()")
legend()


    

    













    
Out[37]:





PyObject <matplotlib.legend.Legend object at 0x319644c18>

In [61]:

    

function useuselessvar(xs)
    for x in xs
        j = x
        x += j
    end
end

function useuselessvar2(xs)
    for x in xs
        j::Int = x
        k::Int = j
        l::Int = k
        m::Int = l
        n::Int = m
        o::Int = n
        p::Int = o
        q::Int = p
        x += q
    end
end

function nouseuselessvar(xs)
    for x in xs
        x += x
    end
end


    

    
Out[61]:





nouseuselessvar (generic function with 1 method)

In [62]:

    

xs = shuffle(collect(1:1000000))
t0s = []
t1s = []
t2s = []
for i in 1:100
    _, t0, _, _, _ = @timed useuselessvar(xs)
    _, t1, _, _, _ = @timed useuselessvar2(xs)
    _, t2, _, _, _ = @timed nouseuselessvar(xs)
    push!(t0s, t0)
    push!(t1s, t1)
    push!(t2s, t2)
end


    

In [63]:

    

plot(t0s, label="unnecessary variables")
plot(t1s, label="unnecessary variables2")
plot(t2s, label="no unnecessary variables")
legend()


    

    













    
Out[63]:





PyObject <matplotlib.legend.Legend object at 0x3170b7828>

In [ ]:

    

function useuselessvar(xs)
    for i in 1:length(xs) 
        x[i] *= 2
    end
end

function useuselessvar2(xs)
    for x in xs
        ys = xs
        x += q
    end
end

function nouseuselessvar(xs)
    for x in xs
        x += x
    end
end