output.txt

[0.06330908] [0.03119327]
##########################################################################################################
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[0.01296496] [0.07706682]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
   6.          7.          8.          9.         10.         11.
  12.         13.         14.         15.         16.         17.
  18.         19.         20.         21.         22.         23.
  24.         25.         26.         27.         28.         29.
  30.         31.         32.         33.         34.         35.
  36.         37.         38.         39.         40.         41.
  42.         43.         44.         45.         46.         47.
  48.         49.         50.         51.         52.         53.
  54.         55.         56.         57.         58.         59.
  60.         61.         62.         63.         64.         65.
  66.         67.         68.         69.         70.         71.
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[0.05155105] [0.0944969]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
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[0.13634686] [0.06126694]
##########################################################################################################
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[0.01295305] [0.0654139]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
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[0.1448792] [0.03759364]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
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[0.16772202] [0.04757627]
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##########################################################################################################
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[0.04097453] [0.01950542]
##########################################################################################################
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[0.01125866] [0.03059079]
##########################################################################################################
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[0.17763004] [0.06794155]
##########################################################################################################
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[0.20665816] [0.01770612]
##########################################################################################################
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[0.04727245] [0.04794432]
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[0.17435926] [0.04829505]
##########################################################################################################
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[0.0677768] [0.10504829]
##########################################################################################################
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[0.06356074] [0.05202614]
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[0.03960215] [0.07023332]
##########################################################################################################
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 [ 0.          0.00241434  0.00173032  0.00128879  0.00098348  0.00076223
   0.0005972   0.00047151  0.00037408  0.00029721  0.00023709  0.0001896
   0.00015073  0.00012125  0.00009591  0.00007719  0.00006093  0.00004886
   0.00003857  0.00003069  0.00002432  0.0000191   0.0000153   0.00001174
   0.00000963  0.00000709  0.00000611  0.00000416  0.00000396  0.00000234
   0.00000267  0.00000121  0.00000188  0.00000055  0.00000136  0.00000019
   0.00000094  0.00000006  0.00000057  0.00000008  0.00000023  0.00000023
  -0.00000006  0.00000043 -0.00000026  0.00000058 -0.00000031  0.00000049
  -0.00000019  0.00000018  0.00000009 -0.00000014  0.0000004  -0.00000028
   0.00000044 -0.00000016  0.00000008  0.00000018 -0.00000021  0.0000004
  -0.00000016  0.00000008  0.00000016 -0.00000018  0.00000028 -0.00000004
  -0.00000006  0.00000024 -0.0000001   0.00000001  0.00000015 -0.00000008
   0.00000002  0.00000011 -0.00000004 -0.00000001  0.00000007 -0.
  -0.00000002  0.00000002  0.00000002 -0.         -0.00000001  0.
   0.00000001  0.         -0.         -0.          0.          0.
   0.          0.         -0.         -0.         -0.          0.
   0.          0.          0.          0.        ]]


[0.12953855] [0.13150636]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
   6.          7.          8.          9.         10.         11.
  12.         13.         14.         15.         16.         17.
  18.         19.         20.         21.         22.         23.
  24.         25.         26.         27.         28.         29.
  30.         31.         32.         33.         34.         35.
  36.         37.         38.         39.         40.         41.
  42.         43.         44.         45.         46.         47.
  48.         49.         50.         51.         52.         53.
  54.         55.         56.         57.         58.         59.
  60.         61.         62.         63.         64.         65.
  66.         67.         68.         69.         70.         71.
  72.         73.         74.         75.         76.         77.
  78.         79.         80.         81.         82.         83.
  84.         85.         86.         87.         88.         89.
  90.         91.         92.         93.         94.         95.
  96.         97.         98.         99.        ]
 [ 0.12953855  0.06545301  0.05959256  0.057234    0.05641683  0.0563855
   0.05678299  0.05742203  0.05820257  0.0590636   0.05996774  0.06088963
   0.06181744  0.06274172  0.06365934  0.06456194  0.06544506  0.06630442
   0.06713896  0.0679455   0.068725    0.0694742   0.07019187  0.07087586
   0.07152637  0.07214208  0.07272344  0.07327101  0.07378446  0.07426591
   0.07471476  0.07513332  0.07552262  0.07588262  0.07621706  0.07652529
   0.07680905  0.07707154  0.07731138  0.07753203  0.07773491  0.07791901
   0.07808882  0.07824356  0.07838355  0.07851321  0.07862985  0.07873589
   0.07883407  0.07892112  0.07900155  0.07907517  0.07913975  0.07920078
   0.07925548  0.07930348  0.07934948  0.07938984  0.07942577  0.07946013
   0.07948966  0.07951663  0.07954238  0.07956367  0.07958375  0.07960343
   0.07961835  0.07963328  0.07964842  0.07965849  0.07966992  0.07968097
   0.07968787  0.07969715  0.07970305  0.07971049  0.07971538  0.07972122
   0.07972537  0.07972983  0.07973348  0.07973673  0.07973999  0.07974303
   0.07974464  0.07974759  0.07974999  0.07975157  0.07975415  0.07975519
   0.07975753  0.07975829  0.07976051  0.07976096  0.07976309  0.07976323
   0.07976529  0.07976515  0.07976715  0.07976446]
 [ 0.13150636  0.04319104  0.02405487  0.01372354  0.00787589  0.00451334
   0.00257185  0.00145402  0.00081571  0.00045365  0.00024996  0.00013636
   0.00007369  0.00003946  0.00002094  0.00001101  0.00000574  0.00000297
   0.00000152  0.00000077  0.00000039  0.00000019  0.0000001   0.00000005
   0.00000002  0.00000001  0.00000001  0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]
 [ 0.          0.01273819  0.01064153  0.00988855  0.00966706  0.00969869
   0.00986658  0.01011407  0.01040869  0.01073253  0.01107519  0.01143133
   0.01179509  0.01216314  0.01253104  0.01289844  0.01326377  0.01362591
   0.01398244  0.01433237  0.01467282  0.01500346  0.01532319  0.01563172
   0.01592783  0.01621144  0.01648182  0.0167385   0.01698177  0.01721084
   0.01742661  0.01762862  0.01781728  0.01799369  0.01815701  0.01830888
   0.01844966  0.01857899  0.01869898  0.0188091   0.01890992  0.01900328
   0.01908801  0.01916573  0.01923742  0.01930175  0.01936124  0.01941552
   0.019464    0.01950932  0.01954979  0.01958626  0.0196206   0.01965044
   0.01967787  0.01970363  0.01972561  0.01974625  0.0197653   0.01978156
   0.01979714  0.01981113  0.01982305  0.01983494  0.01984525  0.01985375
   0.01986302  0.01987062  0.01987659  0.01988397  0.01988937  0.01989387
   0.01989962  0.01990316  0.01990771  0.01991069  0.01991437  0.01991692
   0.01991985  0.01992211  0.01992435  0.01992641  0.01992809  0.01992957
   0.01993151  0.01993246  0.01993346  0.01993468  0.01993516  0.0199363
   0.01993656  0.01993753  0.01993757  0.01993846  0.01993833  0.01993918
   0.01993889  0.01993972  0.01993931  0.0199414 ]
 [ 0.          0.00372463  0.00116087  0.00037913  0.00012574  0.00004135
   0.00001354  0.00000452  0.00000142  0.00000043  0.00000012  0.00000004
   0.00000001  0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]
 [ 0.          0.00587539  0.00298227  0.00164     0.00093085  0.00053388
   0.00030678  0.00017611  0.00010017  0.0000564   0.00003147  0.00001747
   0.00000961  0.00000523  0.00000281  0.0000015   0.00000079  0.00000041
   0.00000021  0.00000011  0.00000006  0.00000003  0.00000001  0.00000001
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]]


##########################################################################################################
Original System 

y1' = 7 y3 + -4.5 y5 + -19.5 y1^2 -9.5 y1 y2 + -10 y1 y5 + -9.75 y1 y3 -9.75 y1 y4
y2' = 9 y4 + -4.5 y5 + -6 y2^2 -9.5 y1 y2 + -10 y3 y2 + -4 y5 y2 -1.75 y2 y4
y3' = 9.75 y1^2 -3.5 y3 + -9.75 y1 y3 + -19.5 y3^2 -10 y3 y2
y4' = 8 y2^2 -4.5 y4 + -9.75 y1 y4 + -1.75 y4 y2
y5' = 9.5 y1 y2 + -4.5 y5 -10 y5 y1 - 4 y5 y2 

this is the multiple run system sans noise with threshold:  0.001 

y1' = -0.002 1 + 0.416 y1 + 0.094 y2 + -2.429 y3 + 0.163 y5 + -16.609 y1^2 + 3.950 y1 y2 + 201.714 y1 y3 + -11.199 y2^2 + 4639.051 y3^2 + 47.423 y1^3 + 35.864 y1^2 y2 + -16285.963 y1^2 y3 + -95.633 y1 y2^2 + 114.592 y2^3
y2' = -0.040 y1 + 0.300 y2 + 4.384 y3 + 7.227 y4 + -13.310 y5 + -10.677 y1^2 + 15.239 y1 y2 + -30.452 y1 y3 + -26.039 y2^2 + 20.734 y3^2 + 47.169 y1^3 + -28.879 y1^2 y2 + -84.801 y1 y2^2 + 150.922 y2^3
y3' = 0.001 1 + -0.130 y1 + -0.076 y2 + 0.752 y3 + 3.585 y1^2 + 5.290 y1 y2 + -29.161 y1 y3 + -0.553 y2^2 + 53.270 y3^2 + -5.990 y1^3 + -25.026 y1^2 y2 + -9.627 y1 y2^2
y4' = 0.001 y2 + -0.289 y1 y2 + 0.963 y2^2
y5' = -0.007 y2 + -0.024 y3 + 0.072 y1^2 + 0.209 y1 y2 + 0.669 y2^2

this is the multiple run system with noise with threshold:  0.001 

y1' = 0.002 1 + -0.176 y1 + 0.053 y2 + -0.009 y3 + -3.310 y5 + 5.144 y1^2 + -3.140 y1 y2 + 2.966 y1 y3 + 3.990 y2^2 + -15.776 y3^2 + -36.240 y1^3 + -23.982 y1^2 y2 + 2.827 y1 y2^2 + -82.979 y2^3
y2' = -0.001 1 + 0.039 y1 + 0.255 y2 + -0.044 y3 + -3.876 y4 + 3.047 y5 + -0.222 y1^2 + -33.397 y1 y2 + -1.124 y1 y3 + 8.195 y2^2 + 2.985 y3^2 + 0.664 y1^3 + 123.175 y1^2 y2 + 61.258 y1 y2^2 + -45.613 y2^3
y3' = -0.050 y1 + 0.031 y2 + 0.176 y3 + -0.612 y4 + 1.712 y1^2 + 6.217 y1 y2 + -12.426 y1 y3 + -3.737 y2^2 + 21.378 y3^2 + 1.128 y1^3 + -22.868 y1^2 y2
y4' = 0.001 y1 + -0.031 y2 + -0.005 y3 + -0.244 y1 y2 + 1.667 y2^2
y5' = -0.017 y2 + -0.006 y3 + 0.018 y1^2 + 0.679 y1 y2 + 0.448 y2^2
[0.15490234] [0.05758902]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
   6.          7.          8.          9.         10.         11.
  12.         13.         14.         15.         16.         17.
  18.         19.         20.         21.         22.         23.
  24.         25.         26.         27.         28.         29.
  30.         31.         32.         33.         34.         35.
  36.         37.         38.         39.         40.         41.
  42.         43.         44.         45.         46.         47.
  48.         49.         50.         51.         52.         53.
  54.         55.         56.         57.         58.         59.
  60.         61.         62.         63.         64.         65.
  66.         67.         68.         69.         70.         71.
  72.         73.         74.         75.         76.         77.
  78.         79.         80.         81.         82.         83.
  84.         85.         86.         87.         88.         89.
  90.         91.         92.         93.         94.         95.
  96.         97.         98.         99.        ]
 [ 0.15490234  0.08565966  0.08176262  0.08019094  0.07954326  0.0792926
   0.07921691  0.0792137   0.07924153  0.07928169  0.07932232  0.07936343
   0.0794022   0.0794361   0.07946893  0.0794985   0.07952387  0.07954855
   0.07957049  0.07958917  0.07960769  0.07962363  0.07963725  0.07965155
   0.07966254  0.07967254  0.0796839   0.07969086  0.07969849  0.07970723
   0.07971151  0.07971759  0.07972228  0.07972723  0.07973126  0.07973454
   0.07973806  0.07974089  0.07974347  0.07974559  0.0797486   0.07974972
   0.07975125  0.07975493  0.07975391  0.07975687  0.0797597   0.07976008
   0.07976192  0.07976061  0.07976413  0.07976485  0.07976432  0.0797671
   0.07976686  0.07976732  0.07976948  0.07976895  0.07977038  0.07976986
   0.07977026  0.07977173  0.07977065  0.07977106  0.07977234  0.07977082
   0.07977161  0.07977203  0.07977068  0.07977193  0.07977113  0.07977044
   0.07977065  0.07977025  0.07977073  0.07977013  0.07976969  0.07976967
   0.07977019  0.07976884  0.07976923  0.07977055  0.07976978  0.07977012
   0.07976873  0.07977097  0.07977039  0.07976997  0.07977203  0.07977068
   0.07977148  0.07977295  0.07977121  0.0797725   0.07977377  0.07977198
   0.07977303  0.07977288  0.07977324  0.07977126]
 [ 0.05758902  0.01692621  0.00753561  0.00339611  0.00153607  0.0006959
   0.00031547  0.00014292  0.00006473  0.00002931  0.00001326  0.000006
   0.00000271  0.00000123  0.00000055  0.00000025  0.00000011  0.00000005
   0.00000002  0.00000001  0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]
 [ 0.          0.02272936  0.02082549  0.02008693  0.01979379  0.01968439
   0.01965244  0.01965493  0.01967081  0.01969081  0.01971288  0.01973336
   0.01975238  0.01977084  0.01978666  0.01980119  0.01981516  0.01982689
   0.01983773  0.01984818  0.01985675  0.01986495  0.0198728   0.01987882
   0.01988532  0.01989116  0.01989518  0.01990062  0.01990481  0.01990759
   0.01991207  0.01991492  0.01991793  0.01992027  0.01992263  0.01992495
   0.01992674  0.01992856  0.01993019  0.01993177  0.01993261  0.01993424
   0.01993543  0.01993525  0.01993746  0.01993734  0.01993715  0.01993816
   0.01993826  0.01993996  0.01993894  0.01993936  0.01994038  0.01993953
   0.01994026  0.01994055  0.01993986  0.01994059  0.01994021  0.01994086
   0.01994097  0.01994045  0.01994131  0.01994133  0.01994085  0.01994187
   0.01994162  0.01994155  0.01994243  0.01994188  0.01994244  0.01994292
   0.0199429   0.01994321  0.01994303  0.01994342  0.01994373  0.0199438
   0.01994356  0.01994435  0.01994418  0.01994349  0.01994395  0.0199438
   0.01994459  0.01994339  0.01994373  0.01994398  0.01994287  0.01994363
   0.01994321  0.01994242  0.01994338  0.01994269  0.01994201  0.01994299
   0.01994242  0.01994252  0.01994232  0.01994341]
 [ 0.          0.0006097   0.00012259  0.00002495  0.00000526  0.0000011
   0.00000022  0.00000005  0.00000001  0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]
 [ 0.          0.0030418   0.0012952   0.00057363  0.00025818  0.00011678
   0.00005281  0.00002393  0.00001084  0.00000491  0.00000222  0.000001
   0.00000045  0.00000021  0.00000009  0.00000004  0.00000002  0.00000001
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]]


[0.04211192] [0.14818772]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
   6.          7.          8.          9.         10.         11.
  12.         13.         14.         15.         16.         17.
  18.         19.         20.         21.         22.         23.
  24.         25.         26.         27.         28.         29.
  30.         31.         32.         33.         34.         35.
  36.         37.         38.         39.         40.         41.
  42.         43.         44.         45.         46.         47.
  48.         49.         50.         51.         52.         53.
  54.         55.         56.         57.         58.         59.
  60.         61.         62.         63.         64.         65.
  66.         67.         68.         69.         70.         71.
  72.         73.         74.         75.         76.         77.
  78.         79.         80.         81.         82.         83.
  84.         85.         86.         87.         88.         89.
  90.         91.         92.         93.         94.         95.
  96.         97.         98.         99.        ]
 [ 0.04211192  0.02470891  0.02094303  0.01864704  0.01711783  0.01603996
   0.01525036  0.01465472  0.01419599  0.01383721  0.01355335  0.01332677
   0.01314492  0.01299945  0.01288251  0.01278834  0.01271474  0.01265595
   0.01261165  0.0125781   0.01255452  0.01253923  0.01253095  0.01252902
   0.01253241  0.01254036  0.01255293  0.01256821  0.01258817  0.01260895
   0.01263493  0.01266008  0.01269077  0.01271989  0.01275388  0.01278683
   0.01282292  0.01285959  0.01289699  0.01293708  0.01297554  0.01301846
   0.0130585   0.01310314  0.01314549  0.01319075  0.01323581  0.01328115
   0.0133289   0.01337443  0.01342438  0.01347102  0.01352206  0.01357074
   0.01362191  0.01367309  0.01372407  0.01377775  0.01382885  0.01388453
   0.01393679  0.01399339  0.01404774  0.01410443  0.01416132  0.01421789
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[0.01720735] [0.12664464]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
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[0.0175146] [0.11582058]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
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[0.04367487] [0.14075089]
##########################################################################################################
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[0.04304579] [0.06935821]
##########################################################################################################
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[0.1047392] [0.00454229]
##########################################################################################################
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   0.          0.          0.          0.        ]]


[0.1863262] [0.05145752]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
   6.          7.          8.          9.         10.         11.
  12.         13.         14.         15.         16.         17.
  18.         19.         20.         21.         22.         23.
  24.         25.         26.         27.         28.         29.
  30.         31.         32.         33.         34.         35.
  36.         37.         38.         39.         40.         41.
  42.         43.         44.         45.         46.         47.
  48.         49.         50.         51.         52.         53.
  54.         55.         56.         57.         58.         59.
  60.         61.         62.         63.         64.         65.
  66.         67.         68.         69.         70.         71.
  72.         73.         74.         75.         76.         77.
  78.         79.         80.         81.         82.         83.
  84.         85.         86.         87.         88.         89.
  90.         91.         92.         93.         94.         95.
  96.         97.         98.         99.        ]
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   0.0858028   0.08508712  0.08448209  0.08395958  0.08350356  0.08310319
   0.08274971  0.08243635  0.08215863  0.08191143  0.08169119  0.08149485
   0.08131973  0.08116322  0.08102294  0.08089853  0.08078607  0.08068545
   0.08059588  0.08051431  0.08044159  0.08037648  0.08031699  0.08026395
   0.0802165   0.08017276  0.08013385  0.08009921  0.08006669  0.08003825
   0.08001269  0.07998842  0.07996777  0.07994851  0.07993063  0.07991554
   0.07990093  0.07988794  0.07987658  0.07986606  0.07985627  0.07984769
   0.07984086  0.07983265  0.07982715  0.07982268  0.07981527  0.07981334
   0.07980927  0.07980361  0.07980334  0.07979891  0.07979796  0.07979469
   0.07979252  0.07979214  0.07978894  0.07978794  0.07978806  0.07978489
   0.07978424  0.07978342  0.07978259  0.07978243  0.07978042  0.07978023
   0.07977978  0.07977795  0.07977836  0.07977717  0.0797759   0.07977659
   0.07977489  0.07977419  0.07977456  0.07977336  0.07977263  0.07977247
   0.07977253  0.07977102  0.07977146  0.07977196  0.07977125  0.07977182
   0.07977128  0.07977208  0.07977149  0.07977243  0.07976928  0.07977258
   0.07977248  0.07977063  0.07977332  0.07977066]
 [ 0.05145752  0.01304515  0.00520832  0.00212897  0.00088326  0.00037033
   0.00015666  0.00006678  0.00002864  0.00001235  0.00000535  0.00000233
   0.00000102  0.00000045  0.0000002   0.00000009  0.00000004  0.00000002
   0.00000001  0.          0.          0.          0.          0.
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 [ 0.          0.02973283  0.0266696   0.02517823  0.0242811   0.02365479
   0.02317176  0.02277692  0.02244371  0.02215816  0.02191072  0.02169464
   0.02150519  0.02133862  0.02119128  0.02106092  0.02094524  0.0208423
   0.02075044  0.02066843  0.02059526  0.02052911  0.02047037  0.02041756
   0.02036977  0.02032746  0.02028913  0.02025451  0.02022387  0.02019603
   0.0201708   0.02014863  0.02012839  0.02010991  0.02009397  0.02007912
   0.02006568  0.02005422  0.02004321  0.02003362  0.02002523  0.0200171
   0.02001029  0.02000405  0.01999821  0.01999308  0.01998861  0.01998444
   0.01998016  0.01997741  0.01997389  0.01997044  0.01996917  0.01996541
   0.01996329  0.01996246  0.01995906  0.01995829  0.01995591  0.01995509
   0.01995392  0.01995199  0.01995182  0.01995062  0.01994899  0.0199493
   0.01994837  0.01994766  0.01994707  0.01994621  0.01994645  0.01994579
   0.01994534  0.01994571  0.01994492  0.01994505  0.01994528  0.01994448
   0.01994503  0.01994507  0.01994457  0.01994494  0.01994509  0.01994494
   0.01994471  0.01994534  0.01994493  0.01994451  0.01994476  0.01994433
   0.01994451  0.01994397  0.0199442   0.01994361  0.01994525  0.01994338
   0.01994337  0.01994433  0.01994281  0.01994422]
 [ 0.          0.00037404  0.00006024  0.00001006  0.00000172  0.00000031
   0.00000006  0.00000001  0.          0.          0.          0.
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 [ 0.          0.00267789  0.001012    0.00040226  0.00016389  0.00006795
   0.00002848  0.00001203  0.00000512  0.00000219  0.00000094  0.00000041
   0.00000018  0.00000008  0.00000003  0.00000001  0.00000001  0.
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##########################################################################################################
Original System 

y1' = 7 y3 + -4.5 y5 + -19.5 y1^2 -9.5 y1 y2 + -10 y1 y5 + -9.75 y1 y3 -9.75 y1 y4
y2' = 9 y4 + -4.5 y5 + -6 y2^2 -9.5 y1 y2 + -10 y3 y2 + -4 y5 y2 -1.75 y2 y4
y3' = 9.75 y1^2 -3.5 y3 + -9.75 y1 y3 + -19.5 y3^2 -10 y3 y2
y4' = 8 y2^2 -4.5 y4 + -9.75 y1 y4 + -1.75 y4 y2
y5' = 9.5 y1 y2 + -4.5 y5 -10 y5 y1 - 4 y5 y2 

this is the multiple run system sans noise with threshold:  1e-07 

y1' = -0.083 y1 + -0.362 y2 + 4.286 y3 + 18.794 y4 + 55.656 y5 + -5.697 y1^2 + 2.768 y1 y2 + -68.206 y1 y3 + 149364.212 y1 y4 + -12334.338 y1 y5 + 4.410 y2^2 + 5406.617 y2 y3 + -1007.225 y2 y4 + -130693.333 y2 y5 + 7041.677 y3^2 + 9809059.889 y3 y4 + 451049.148 y3 y5 + -489309.074 y4^2 + 4364347.023 y4 y5 + -20613918.901 y5^2 + 11.041 y1^3 + -10.007 y1^2 y2 + -19375.479 y1^2 y3 + -35705333.474 y1^2 y4 + 218319.058 y1^2 y5 + -32.858 y1 y2^2 + -967012.037 y1 y2 y3 + -6354837.833 y1 y2 y4 + 69969966.262 y1 y2 y5 + -11798.893 y1 y3^2 + 39298548.882 y1 y3 y4 + -7161827.515 y1 y3 y5 + 29556053.149 y1 y4^2 + 87965784.945 y1 y5^2 + -13.429 y2^3 + -14686711.255 y2^2 y3 + 892165.193 y2^2 y4 + -2257838.813 y2^2 y5 + 4351511.123 y2 y3^2 + -7086130.003 y2 y3 y4 + -101187992.560 y2 y3 y5 + -265426.056 y2 y4^2 + -23521835.062 y2 y4 y5 + 11672.310 y3^3 + -101898373.201 y3^2 y4 + 417648.095 y3^2 y5 + 171833398.566 y3 y5^2 + 577408.456 y4^3 + -3058433.971 y4^2 y5
y2' = -0.024 y1 + -0.050 y2 + 0.562 y3 + 5.089 y4 + 7.159 y5 + 0.456 y1^2 + -10.561 y1 y2 + -26.681 y1 y3 + 6515.481 y1 y4 + -2704.039 y1 y5 + -4.323 y2^2 + 1588.018 y2 y3 + -92.291 y2 y4 + -6112.135 y2 y5 + 88.344 y3^2 + 403598.593 y3 y4 + 34003.298 y3 y5 + -19468.556 y4^2 + 228474.909 y4 y5 + -221892.161 y5^2 + -2.252 y1^3 + 23.502 y1^2 y2 + 243.089 y1^2 y3 + -1632464.385 y1^2 y4 + 30866.324 y1^2 y5 + 26.625 y1 y2^2 + -83628.847 y1 y2 y3 + -1455914.490 y1 y2 y4 + 1688883.437 y1 y2 y5 + -1508.085 y1 y3^2 + 1889620.436 y1 y3 y4 + -425976.917 y1 y3 y5 + -2290092.306 y1 y4^2 + 7307042.147 y1 y4 y5 + 203690.581 y1 y5^2 + 6.846 y2^3 + -570310.539 y2^2 y3 + 35580.150 y2^2 y4 + 835566.517 y2^2 y5 + 253778.994 y2 y3^2 + 3810647.198 y2 y3 y4 + -2095759.757 y2 y3 y5 + -7259.694 y2 y4^2 + 2290268.481 y2 y4 y5 + -9614185.138 y2 y5^2 + 1658.330 y3^3 + -4603546.187 y3^2 y4 + 33679.589 y3^2 y5 + 626120.084 y3 y4^2 + -9839836.428 y3 y4 y5 + 7254637.797 y3 y5^2 + 17396.589 y4^3 + -1260160.993 y4^2 y5
y3' = 0.036 y1 + 0.115 y2 + -2.013 y3 + -4.679 y4 + -15.613 y5 + 3.203 y1^2 + -2.348 y1 y2 + 26.353 y1 y3 + 30383.718 y1 y4 + 2589.603 y1 y5 + -1.373 y2^2 + -833.804 y2 y3 + 270.843 y2 y4 + -24643.545 y2 y5 + -4056.824 y3^2 + 201916.239 y3 y4 + -195174.557 y3 y5 + 111782.985 y4^2 + -685574.363 y4 y5 + -7.160 y1^3 + -0.164 y1^2 y2 + 11462.889 y1^2 y3 + -646539.518 y1^2 y4 + -13398.425 y1^2 y5 + 12.404 y1 y2^2 + 375766.766 y1 y2 y3 + 855771.861 y1 y2 y4 + 5694.930 y1 y3^2 + -671427.325 y1 y3 y4 + 2549860.070 y1 y3 y5 + -7423932.028 y1 y4^2 + 4841433.928 y1 y4 y5 + 2983114.395 y1 y5^2 + 4.090 y2^3 + -17391.468 y2^2 y3 + -204617.534 y2^2 y4 + 442366.074 y2^2 y5 + -1565129.830 y2 y3^2 + -1776480.169 y2 y3 y4 + -2034893.769 y2 y3 y5 + 63515.325 y2 y4^2 + 6269336.118 y2 y4 y5 + -608759.967 y2 y5^2 + -5440.384 y3^3 + 1297120.693 y3^2 y4 + -83122.578 y3^2 y5 + -145378.150 y4^3
y4' = 0.009 y1 + 0.011 y2 + -0.283 y3 + -1.751 y4 + -1.587 y5 + -0.061 y1^2 + -0.795 y1 y2 + 11.896 y1 y3 + 14007.901 y1 y4 + -550.318 y1 y5 + 2.189 y2^2 + 498.832 y2 y3 + -10.159 y2 y4 + -11553.830 y2 y5 + -29.260 y3^2 + 2406931.618 y3 y4 + -3412.094 y3 y5 + -31655.258 y4^2 + 224747.866 y4 y5 + -3330219.038 y5^2 + -0.180 y1^3 + 4.649 y1^2 y2 + -130.314 y1^2 y3 + -7452466.820 y1^2 y4 + 54939.125 y1^2 y5 + -7.775 y1 y2^2 + -35533.965 y1 y2 y3 + 51012.599 y1 y2 y4 + 13407792.566 y1 y2 y5 + 637.250 y1 y3^2 + -1242854.441 y1 y3 y4 + -153028.790 y1 y3 y5 + 89402.043 y1 y4^2 + 3328050.015 y1 y4 y5 + 5182335.702 y1 y5^2 + -4.690 y2^3 + -4391228.349 y2^2 y3 + 57244.325 y2^2 y4 + -453743.900 y2^2 y5 + 130836.753 y2 y3^2 + -748794.874 y2 y3 y4 + -2164292.390 y2 y3 y5 + -16135.180 y2 y4^2 + 43941.531 y2 y4 y5 + -2544260.693 y2 y5^2 + -702.952 y3^3 + -62551.896 y3^2 y5 + 34923.876 y4^3
y5' = 0.007 y1 + 0.016 y2 + -0.143 y3 + -0.653 y4 + -3.476 y5 + -0.172 y1^2 + 2.229 y1 y2 + 7.180 y1 y3 + -3380.976 y1 y4 + 768.192 y1 y5 + -0.156 y2^2 + -426.353 y2 y3 + 29.117 y2 y4 + 3003.256 y2 y5 + -50.453 y3^2 + -188645.258 y3 y4 + -13350.328 y3 y5 + -5526.908 y4^2 + -27581.011 y4 y5 + 331922.630 y5^2 + 1.001 y1^3 + -8.412 y1^2 y2 + 11.427 y1^2 y3 + 614511.628 y1^2 y4 + -14858.249 y1^2 y5 + -3.874 y1 y2^2 + 34546.298 y1 y2 y3 + 138972.613 y1 y2 y4 + -1228780.003 y1 y2 y5 + 436.616 y1 y3^2 + 256661.620 y1 y3 y5 + -531841.022 y1 y4^2 + 0.414 y2^3 + 341125.672 y2^2 y3 + 9147.185 y2^2 y4 + -71322.702 y2^2 y5 + -162205.078 y2 y3^2 + -213699.402 y2 y3 y4 + 2381.027 y2 y4^2 + 462872.581 y2 y4 y5 + 283288.778 y2 y5^2 + -471.068 y3^3 + -4227.499 y4^3

this is the multiple run system with noise with threshold:  1e-07 

y1' = 0.002 1 + -0.204 y1 + -0.319 y2 + 1.162 y3 + 28.771 y4 + -26.787 y5 + 4.845 y1^2 + -16.660 y1 y2 + -20.785 y1 y3 + -1301.720 y1 y4 + 3369.557 y1 y5 + 7.453 y2^2 + 2122.092 y2 y3 + -1431.323 y2 y4 + -353.241 y2 y5 + -40.261 y3^2 + 7135.339 y3 y4 + -31879.720 y3 y5 + 6057.681 y4^2 + 11060.827 y4 y5 + -18356.436 y5^2 + -46.245 y1^3 + 42.502 y1^2 y2 + 351.424 y1^2 y3 + 82877.863 y1^2 y4 + -40977.287 y1^2 y5 + 62.486 y1 y2^2 + -63183.709 y1 y2 y3 + -28276.841 y1 y2 y4 + -81447.060 y1 y2 y5 + -904.889 y1 y3^2 + -124734.273 y1 y3 y4 + 522754.418 y1 y3 y5 + 253989.816 y1 y4^2 + 169161.947 y1 y5^2 + -32.029 y2^3 + -50147.551 y2^2 y3 + 18401.622 y2^2 y4 + 88470.442 y2^2 y5 + 252217.923 y2 y3^2 + 116345.476 y2 y3 y4 + 765175.249 y2 y3 y5 + -181457.588 y2 y4^2 + -854606.636 y2 y4 y5 + -92059.388 y2 y5^2 + 2168.583 y3^3 + -4619752.839 y3^2 y4 + -1133896.522 y3^2 y5 + 5736359.050 y3 y5^2 + 524151.314 y4^3 + 1450720.529 y4^2 y5
y2' = 0.001 1 + -0.006 y1 + -0.419 y2 + 0.090 y3 + 8.911 y4 + 14.764 y5 + -4.592 y1^2 + 9.368 y1 y2 + 37.023 y1 y3 + -1999.008 y1 y4 + -452.011 y1 y5 + 1.668 y2^2 + -338.056 y2 y3 + -42.954 y2 y4 + 1025.257 y2 y5 + -86.518 y3^2 + -3547.767 y3 y4 + 3108.809 y3 y5 + -2580.366 y4^2 + 9040.428 y4 y5 + -7280.928 y5^2 + 42.003 y1^3 + -141.210 y1^2 y2 + -268.849 y1^2 y3 + 58819.908 y1^2 y4 + 1108.456 y1^2 y5 + 39.946 y1 y2^2 + 9158.930 y1 y2 y3 + 34292.511 y1 y2 y4 + -70012.599 y1 y2 y5 + 120.843 y1 y3^2 + -83559.204 y1 y3 y4 + -56302.394 y1 y3 y5 + 59859.317 y1 y4^2 + -532935.080 y1 y4 y5 + 391926.655 y1 y5^2 + -42.038 y2^3 + 34588.849 y2^2 y3 + -349.459 y2^2 y4 + -31123.160 y2^2 y5 + -35096.550 y2 y3^2 + -246570.902 y2 y3 y4 + -70942.742 y2 y3 y5 + 44415.998 y2 y4^2 + 473432.996 y2 y5^2 + 1450.183 y3^3 + 267433.070 y3^2 y4 + 188642.257 y3^2 y5 + -994177.894 y3 y5^2 + -186861.062 y4^3
y3' = -0.053 y1 + -0.041 y2 + 0.039 y3 + -3.468 y4 + 13.803 y5 + 3.235 y1^2 + -1.224 y1 y2 + -19.833 y1 y3 + 575.289 y1 y4 + -1509.525 y1 y5 + 1.498 y2^2 + 110.812 y2 y3 + 171.137 y2 y4 + -601.030 y2 y5 + 47.518 y3^2 + -3863.023 y3 y4 + 4885.406 y3 y5 + -879.629 y4^2 + -240.685 y4 y5 + 7470.942 y5^2 + 0.563 y1^3 + -24.576 y1^2 y2 + -167.290 y1^2 y3 + -21564.173 y1^2 y4 + 32868.231 y1^2 y5 + 21.750 y1 y2^2 + -4687.325 y1 y2 y3 + -9537.410 y1 y2 y4 + 40501.825 y1 y2 y5 + 1100.241 y1 y3^2 + 100085.004 y1 y3 y4 + -151222.799 y1 y3 y5 + 6880.387 y1 y4^2 + 151981.557 y1 y4 y5 + -344498.820 y1 y5^2 + -9.891 y2^3 + 98.151 y2^2 y3 + -2193.256 y2^2 y4 + 2445.267 y2^2 y5 + 6330.900 y2 y3^2 + 25472.935 y2 y3 y4 + -59198.824 y2 y3 y5 + 25913.864 y2 y4^2 + 24837.068 y2 y4 y5 + -175332.996 y2 y5^2 + -2343.194 y3^3 + 249405.231 y3^2 y4 + 157105.978 y3^2 y5 + -76361.549 y4^3
y4' = 0.023 y1 + 0.003 y2 + -0.083 y3 + -0.168 y4 + 1.409 y5 + -0.963 y1^2 + 1.877 y1 y2 + 6.086 y1 y3 + -125.250 y1 y4 + 34.407 y1 y5 + 1.294 y2^2 + -63.627 y2 y3 + 16.282 y2 y4 + -326.055 y2 y5 + -8.323 y3^2 + 2832.579 y3 y4 + -118.230 y3 y5 + 138.805 y4^2 + 390.857 y4 y5 + 1707.302 y5^2 + 7.163 y1^3 + -20.107 y1^2 y2 + -40.486 y1^2 y3 + -13861.189 y1^2 y4 + -607.146 y1^2 y5 + -0.433 y1 y2^2 + 1182.719 y1 y2 y3 + 13643.918 y1 y2 y4 + 12243.463 y1 y2 y5 + -0.740 y1 y3^2 + 18581.959 y1 y3 y4 + 1102.623 y1 y3 y5 + -136547.638 y1 y4^2 + 172750.163 y1 y4 y5 + -22548.397 y1 y5^2 + -3.315 y2^3 + -1692.155 y2^2 y3 + -575.365 y2^2 y4 + -902.076 y2^2 y5 + -1542.496 y2 y3^2 + -29258.888 y2 y3 y4 + -16251.661 y2 y3 y5 + -12150.509 y2 y4^2 + 68800.238 y2 y4 y5 + -163884.865 y2 y5^2 + 159.548 y3^3 + 104940.501 y4^3
y5' = 0.001 y1 + -0.021 y2 + -0.013 y3 + 1.722 y4 + -0.698 y5 + -0.191 y1^2 + 3.010 y1 y2 + 1.607 y1 y3 + -311.880 y1 y4 + -4.435 y1 y5 + 0.217 y2^2 + -15.777 y2 y3 + -121.758 y2 y4 + 199.366 y2 y5 + -2.596 y3^2 + 710.810 y3 y4 + -1.606 y3 y5 + 854.219 y4^2 + -554.081 y4 y5 + 953.314 y5^2 + 1.756 y1^3 + -13.185 y1^2 y2 + -12.528 y1^2 y3 + 2117.367 y1^2 y4 + 1302.339 y1^2 y5 + -8.358 y1 y2^2 + -518.297 y1 y2 y3 + 13629.626 y1 y2 y4 + -5341.462 y1 y2 y5 + 7.036 y1 y3^2 + -6074.256 y1 y3 y5 + -88894.460 y1 y4^2 + 0.113 y2^3 + -341.692 y2^2 y3 + 2405.621 y2^2 y4 + -8018.514 y2^2 y5 + 3255.912 y2 y3^2 + -6380.936 y2 y3 y4 + -34411.867 y2 y4^2 + 53052.878 y2 y4 y5 + 22450.419 y2 y5^2 + 37.615 y3^3 + 123722.179 y4^3
[0.11651725] [0.06923673]
##########################################################################################################
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[0.08418965] [0.06768964]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
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[0.15536415] [0.02035722]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
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[0.03771624] [0.15009616]
##########################################################################################################
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[0.01197588] [0.0894079]
##########################################################################################################
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[0.13025079] [0.08052936]
##########################################################################################################
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[0.02670758] [0.02097697]
##########################################################################################################
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[0.11190117] [0.0203975]
##########################################################################################################
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   0.01935645  0.01941147  0.01946098  0.01950557  0.01954762  0.01958422
   0.0196179   0.01964888  0.01967637  0.01970199  0.01972452  0.01974703
   0.019764    0.01978141  0.01979784  0.01981012  0.0198241   0.01983419
   0.01984556  0.01985388  0.01986315  0.01987     0.01987751  0.0198832
   0.01988925  0.01989402  0.01989886  0.0199029   0.01990592  0.01991042
   0.0199131   0.01991552  0.01991907  0.0199205   0.01992357  0.01992482
   0.01992728  0.01992837  0.01993036  0.01993139  0.01993291  0.01993394
   0.01993502  0.01993608  0.01993673  0.01993786  0.01993845  0.01993857
   0.01994014  0.01993982  0.01993996  0.01994054  0.01994031  0.01994097
   0.01994065  0.01994127  0.01994082  0.01994146  0.01994091  0.01994158
   0.01994096  0.0199424   0.01994153  0.01994095  0.01994219  0.01994155
   0.019942    0.01994179  0.01994196  0.01994196  0.01994201  0.01994217
   0.01994212  0.0199424   0.0199423   0.01994285]
 [ 0.          0.0001226   0.00002945  0.00000708  0.00000167  0.00000038
   0.00000009  0.00000002  0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]
 [ 0.          0.00118561  0.00057019  0.00027693  0.0001345   0.00006503
   0.00003137  0.00001504  0.00000718  0.00000341  0.00000161  0.00000076
   0.00000036  0.00000017  0.00000008  0.00000004  0.00000002  0.00000001
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]]


[0.09967757] [0.00452761]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
   6.          7.          8.          9.         10.         11.
  12.         13.         14.         15.         16.         17.
  18.         19.         20.         21.         22.         23.
  24.         25.         26.         27.         28.         29.
  30.         31.         32.         33.         34.         35.
  36.         37.         38.         39.         40.         41.
  42.         43.         44.         45.         46.         47.
  48.         49.         50.         51.         52.         53.
  54.         55.         56.         57.         58.         59.
  60.         61.         62.         63.         64.         65.
  66.         67.         68.         69.         70.         71.
  72.         73.         74.         75.         76.         77.
  78.         79.         80.         81.         82.         83.
  84.         85.         86.         87.         88.         89.
  90.         91.         92.         93.         94.         95.
  96.         97.         98.         99.        ]
 [ 0.09967757  0.07007194  0.07041701  0.07094348  0.07151805  0.07209946
   0.07266458  0.07320651  0.07371848  0.07420318  0.07465495  0.07507712
   0.0754712   0.07583408  0.07617369  0.07648385  0.07677332  0.07703654
   0.0772816   0.07750343  0.07770969  0.07789559  0.07806834  0.07822335
   0.07836747  0.07849616  0.07861602  0.07872245  0.07882188  0.07890962
   0.07899266  0.07906525  0.07913048  0.07919325  0.07924716  0.07929751
   0.07934225  0.07938329  0.07942022  0.07945375  0.07948426  0.07951159
   0.07953682  0.07955909  0.07957995  0.0795981   0.07961535  0.07962874
   0.07964436  0.07965676  0.07966694  0.07967846  0.07968754  0.079696
   0.07970398  0.07971033  0.07971739  0.07972196  0.07972834  0.07973131
   0.07973718  0.07973879  0.07974417  0.07974665  0.07974708  0.07975311
   0.07975228  0.07975317  0.07975584  0.07975591  0.07975854  0.07975829
   0.07976074  0.07976019  0.07976253  0.07976177  0.07976401  0.07976314
   0.07976528  0.07976436  0.07976594  0.07976693  0.07976522  0.07976772
   0.07976828  0.0797684   0.07976931  0.07976925  0.07977015  0.07977011
   0.07977094  0.07977096  0.07977166  0.07977178  0.07977228  0.0797723
   0.07977259  0.07977335  0.07977379  0.0797725 ]
 [ 0.00452761  0.00185597  0.000921    0.00045423  0.00022263  0.00010846
   0.00005256  0.00002533  0.00001214  0.00000579  0.00000275  0.0000013
   0.00000061  0.00000029  0.00000013  0.00000006  0.00000003  0.00000001
   0.00000001  0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]
 [ 0.          0.01518302  0.01540719  0.01565395  0.01591963  0.01618838
   0.01645323  0.01670814  0.01695205  0.01718146  0.01739879  0.01760244
   0.01779221  0.01797073  0.01813482  0.01828905  0.01843     0.018562
   0.01868204  0.01879422  0.01889573  0.01899046  0.01907577  0.01915536
   0.01922666  0.01929325  0.01935256  0.01940808  0.01945721  0.01950337
   0.01954354  0.01958158  0.0196165   0.01964624  0.01967488  0.01970005
   0.01972336  0.01974422  0.01976324  0.01978044  0.01979592  0.0198101
   0.01982267  0.01983435  0.01984453  0.01985413  0.01986237  0.01987102
   0.01987694  0.01988322  0.01988947  0.01989386  0.01989855  0.01990265
   0.01990619  0.01990985  0.01991244  0.01991577  0.01991755  0.01992068
   0.01992178  0.01992479  0.01992535  0.01992717  0.01992981  0.01992911
   0.0199319   0.01993353  0.01993399  0.01993568  0.0199358   0.01993735
   0.01993728  0.01993874  0.0199385   0.01993985  0.01993948  0.01994072
   0.01994025  0.01994137  0.01994108  0.01994105  0.01994245  0.0199415
   0.01994157  0.01994184  0.01994165  0.01994196  0.01994173  0.01994197
   0.01994173  0.0199419   0.01994169  0.01994177  0.01994163  0.01994175
   0.0199417   0.01994139  0.01994124  0.01994203]
 [ 0.          0.00000717  0.00000178  0.00000048  0.00000012  0.00000003
   0.00000001  0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]
 [ 0.          0.00027381  0.00013656  0.00006787  0.00003362  0.00001655
   0.00000807  0.00000391  0.00000189  0.00000091  0.00000043  0.00000021
   0.0000001   0.00000005  0.00000002  0.00000001  0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]]


[0.05384298] [0.01723516]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
   6.          7.          8.          9.         10.         11.
  12.         13.         14.         15.         16.         17.
  18.         19.         20.         21.         22.         23.
  24.         25.         26.         27.         28.         29.
  30.         31.         32.         33.         34.         35.
  36.         37.         38.         39.         40.         41.
  42.         43.         44.         45.         46.         47.
  48.         49.         50.         51.         52.         53.
  54.         55.         56.         57.         58.         59.
  60.         61.         62.         63.         64.         65.
  66.         67.         68.         69.         70.         71.
  72.         73.         74.         75.         76.         77.
  78.         79.         80.         81.         82.         83.
  84.         85.         86.         87.         88.         89.
  90.         91.         92.         93.         94.         95.
  96.         97.         98.         99.        ]
 [ 0.05384298  0.04180213  0.04161584  0.04177308  0.04212091  0.04259895
   0.04317024  0.04381381  0.04450725  0.04524089  0.04601333  0.04681063
   0.04763231  0.04848094  0.04934542  0.05022778  0.05113155  0.05204652
   0.05297336  0.05391627  0.05486744  0.05582367  0.05678549  0.05775386
   0.05872103  0.05968282  0.06063992  0.06159158  0.06253272  0.06345788
   0.06436517  0.06525174  0.06611791  0.06696056  0.0677767   0.06856317
   0.06931886  0.07004171  0.07073166  0.0713876   0.07200963  0.07259817
   0.07315264  0.07367433  0.07416315  0.07462003  0.07504581  0.07544172
   0.07580912  0.07614889  0.07646315  0.07675276  0.07701918  0.07726453
   0.07748918  0.07769525  0.07788418  0.07805628  0.07821396  0.07835778
   0.07848841  0.07860805  0.07871646  0.07881497  0.07890508  0.07898621
   0.07906015  0.07912751  0.07918803  0.07924325  0.0792933   0.07933846
   0.07937941  0.07941663  0.07945027  0.07948037  0.07950854  0.07953315
   0.07955543  0.07957724  0.07959455  0.07961202  0.07962839  0.07964036
   0.07965462  0.0796663   0.07967501  0.07968623  0.07969434  0.07970123
   0.07970961  0.07971502  0.0797206   0.07972706  0.0797303   0.07973458
   0.07974012  0.07974151  0.0797447   0.07974587]
 [ 0.01723516  0.00978654  0.0064909   0.00429602  0.00283091  0.00185499
   0.00120795  0.00078231  0.00050254  0.00032017  0.00020299  0.00012734
   0.00007913  0.00004907  0.00002996  0.00001808  0.000011    0.00000653
   0.00000378  0.00000226  0.00000132  0.00000074  0.0000004   0.00000024
   0.00000014  0.00000007  0.00000004  0.00000002  0.00000001  0.00000001
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]
 [ 0.          0.00514633  0.00516986  0.00522899  0.00533175  0.00546637
   0.00562507  0.00580158  0.00599518  0.00620342  0.00642229  0.00665482
   0.0068991   0.00715226  0.00741832  0.00769529  0.00798044  0.00827776
   0.00858587  0.00890142  0.0092269   0.00956235  0.0099057   0.01025443
   0.01061026  0.01097296  0.01133959  0.01170777  0.01207731  0.01244815
   0.01281836  0.01318652  0.01354963  0.01390661  0.01425652  0.01459871
   0.01493169  0.01525478  0.01556651  0.01586632  0.01615329  0.01642665
   0.01668647  0.01693211  0.01716391  0.01738193  0.01758644  0.0177777
   0.01795604  0.01812216  0.01827616  0.01841889  0.01855091  0.01867244
   0.01878463  0.01888768  0.0189821   0.019069    0.01914828  0.01922081
   0.01928732  0.01934765  0.01940291  0.01945331  0.01949888  0.01954072
   0.01957861  0.01961289  0.01964435  0.01967271  0.01969845  0.01972189
   0.01974313  0.0197623   0.01977971  0.01979567  0.01980962  0.01982272
   0.01983459  0.01984441  0.01985463  0.01986288  0.01987004  0.01987805
   0.01988343  0.01988895  0.01989495  0.01989856  0.01990292  0.0199071
   0.01990971  0.01991326  0.01991608  0.01991786  0.01992088  0.01992288
   0.01992377  0.01992655  0.01992801  0.01993026]
 [ 0.          0.00018502  0.00008233  0.00003594  0.00001562  0.00000682
   0.00000298  0.00000119  0.0000005   0.00000022  0.00000008  0.00000003
   0.00000002  0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
  -0.          0.          0.          0.         -0.         -0.
   0.          0.          0.          0.          0.         -0.
  -0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]
 [ 0.          0.00085588  0.00056618  0.00037629  0.00025013  0.00016614
   0.00011007  0.00007186  0.00004701  0.00003079  0.00001949  0.00001255
   0.00000812  0.00000489  0.00000312  0.00000203  0.00000112  0.00000071
   0.0000005   0.00000025  0.00000013  0.0000001   0.00000007  0.00000003
   0.00000001  0.00000001  0.00000001  0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]]


##########################################################################################################
Original System 

y1' = 7 y3 + -4.5 y5 + -19.5 y1^2 -9.5 y1 y2 + -10 y1 y5 + -9.75 y1 y3 -9.75 y1 y4
y2' = 9 y4 + -4.5 y5 + -6 y2^2 -9.5 y1 y2 + -10 y3 y2 + -4 y5 y2 -1.75 y2 y4
y3' = 9.75 y1^2 -3.5 y3 + -9.75 y1 y3 + -19.5 y3^2 -10 y3 y2
y4' = 8 y2^2 -4.5 y4 + -9.75 y1 y4 + -1.75 y4 y2
y5' = 9.5 y1 y2 + -4.5 y5 -10 y5 y1 - 4 y5 y2 

this is the multiple run system sans noise with threshold:  1e-06 

y1' = -0.046 y1 + -0.060 y2 + 3.953 y3 + -10.498 y4 + 23.026 y5 + -6.197 y1^2 + -2.869 y1 y2 + -73.882 y1 y3 + 148047.620 y1 y4 + -54890.951 y1 y5 + 0.883 y2^2 + 38665.328 y2 y3 + 100.121 y2 y4 + -122175.706 y2 y5 + 4196.316 y3^2 + -6685079.449 y3 y4 + 648027.756 y3 y5 + 538766.741 y4^2 + -2568646.261 y4 y5 + 5017052.085 y5^2 + 12.596 y1^3 + 12.775 y1^2 y2 + -10675.411 y1^2 y3 + 15473671.123 y1^2 y4 + 1164124.627 y1^2 y5 + -6.411 y1 y2^2 + -2187352.126 y1 y2 y3 + 92942.471 y1 y2 y4 + -24111496.132 y1 y2 y5 + -10594.266 y1 y3^2 + 11281811.253 y1 y3 y4 + -11460004.394 y1 y3 y5 + 28594324.497 y1 y5^2 + -2.119 y2^3 + 11978258.040 y2^2 y3 + -963084.518 y2^2 y4 + 4425865.347 y2^2 y5 + 8097357.587 y2 y3^2 + -26076633.804 y2 y3 y5 + 36424.357 y2 y4^2 + 12255.975 y3^3 + -1943661.951 y3^2 y5
y2' = -0.037 y1 + -0.064 y2 + 0.675 y3 + 7.976 y4 + -1.037 y5 + 0.477 y1^2 + -9.455 y1 y2 + -27.218 y1 y3 + 15407.962 y1 y4 + 2468.486 y1 y5 + -4.309 y2^2 + -1637.601 y2 y3 + -391.697 y2 y4 + -12976.959 y2 y5 + 49.787 y3^2 + -611025.890 y3 y4 + 22468.092 y3 y5 + 57932.669 y4^2 + -5595.989 y4 y5 + 351406.294 y5^2 + -1.466 y1^3 + 16.592 y1^2 y2 + 330.664 y1^2 y3 + 1150699.066 y1^2 y4 + -90245.477 y1^2 y5 + 24.198 y1 y2^2 + 14378.636 y1 y2 y3 + -477623.810 y1 y2 y4 + -2605310.832 y1 y2 y5 + -1392.634 y1 y3^2 + 2919471.947 y1 y3 y4 + -198779.961 y1 y3 y5 + 6962638.226 y1 y5^2 + 6.641 y2^3 + 1715533.791 y2^2 y3 + -96224.915 y2^2 y4 + 436873.775 y2^2 y5 + 141110.856 y2 y3^2 + -7398074.160 y2 y3 y5 + -29697.460 y2 y4^2 + 1600.522 y3^3 + -74338.736 y3^2 y5
y3' = 0.002 y1 + 0.076 y2 + -1.592 y3 + -1.317 y4 + -17.445 y5 + 3.752 y1^2 + -1.354 y1 y2 + 14.388 y1 y3 + 40182.515 y1 y4 + 1272.668 y1 y5 + -1.083 y2^2 + 324.989 y2 y3 + 91.386 y2 y4 + -33178.511 y2 y5 + -3668.634 y3^2 + -6586.120 y3 y4 + -194720.063 y3 y5 + 26450.005 y4^2 + 132218.406 y4 y5 + 66267.650 y5^2 + -9.403 y1^3 + -6.352 y1^2 y2 + 10406.721 y1^2 y3 + 57868.907 y1^2 y5 + 12.014 y1 y2^2 + 320885.143 y1 y2 y3 + 385354.621 y1 y2 y4 + 5516.129 y1 y3^2 + 2529800.679 y1 y3 y5 + 2.826 y2^3 + -183988.618 y2^2 y3 + -49239.626 y2^2 y4 + -590441.304 y2^2 y5 + -1554917.668 y2 y3^2 + 22762.783 y2 y4^2 + -5933.227 y3^3
y4' = 0.015 y1 + -0.013 y2 + -0.327 y3 + 0.809 y4 + -0.047 y5 + -0.170 y1^2 + -0.538 y1 y2 + 10.141 y1 y3 + -5490.693 y1 y4 + -295.918 y1 y5 + 2.628 y2^2 + 311.952 y2 y3 + -56.119 y2 y4 + 4278.474 y2 y5 + -125.123 y3^2 + 9203.562 y3 y4 + 1552.383 y3 y5 + -39004.717 y4^2 + 36216.683 y4 y5 + 38960.669 y5^2 + 0.257 y1^3 + 5.634 y1^2 y2 + 257.243 y1^2 y3 + -31937.394 y1^2 y5 + -12.918 y1 y2^2 + 16746.624 y1 y2 y3 + -163805.746 y1 y2 y4 + 229.600 y1 y3^2 + -5.729 y2^3 + -61938.445 y2^2 y3 + 69185.982 y2^2 y4 + 86776.257 y2^2 y5
y5' = 0.017 y1 + 0.014 y2 + -0.449 y3 + -0.137 y4 + -2.394 y5 + -0.257 y1^2 + 1.835 y1 y2 + 20.634 y1 y3 + -5065.407 y1 y4 + 1053.149 y1 y5 + -0.111 y2^2 + -731.725 y2 y3 + 6.390 y2 y4 + 4268.798 y2 y5 + -239.113 y3^2 + 3642.305 y3 y4 + -514.034 y3 y5 + -5874.929 y4^2 + -4944.549 y4 y5 + 0.925 y1^3 + -6.022 y1^2 y2 + 291.938 y1^2 y3 + -2.303 y1 y2^2 + 1409.313 y1 y2 y3 + -29160.657 y1 y2 y4 + 1505.808 y1 y3^2 + 0.255 y2^3 + 10239.952 y2^2 y4 + 35984.464 y2^2 y5 + -1734.402 y3^3

this is the multiple run system with noise with threshold:  1e-06 

y1' = 0.061 y1 + -0.165 y2 + 0.528 y3 + 11.178 y4 + -23.629 y5 + -8.651 y1^2 + 1.057 y1 y2 + 57.503 y1 y3 + -572.713 y1 y4 + -175.094 y1 y5 + 1.593 y2^2 + 1330.541 y2 y3 + -456.131 y2 y4 + 1403.598 y2 y5 + -171.020 y3^2 + 462.045 y3 y4 + -5627.559 y3 y5 + 1553.499 y4^2 + -8636.041 y4 y5 + 10285.067 y5^2 + 26.913 y1^3 + 52.611 y1^2 y2 + 138.474 y1^2 y3 + 111998.398 y1^2 y4 + 12950.740 y1^2 y5 + -114.877 y1 y2^2 + -32679.544 y1 y2 y3 + -1956.222 y1 y2 y4 + -132616.953 y1 y2 y5 + -1947.117 y1 y3^2 + -500823.004 y1 y3 y4 + 137310.226 y1 y3 y5 + 15.145 y2^3 + -11138.901 y2^2 y3 + 861.499 y2^2 y4 + 11928.159 y2^2 y5 + 49664.462 y2 y3^2 + 512425.766 y2 y3 y5 + 4494.064 y2 y4^2 + 5807.679 y3^3 + -321009.398 y3^2 y5
y2' = 0.001 1 + -0.140 y1 + -0.309 y2 + 0.552 y3 + 2.209 y4 + 16.228 y5 + 2.790 y1^2 + -5.257 y1 y2 + -11.019 y1 y3 + -18.165 y1 y4 + -404.955 y1 y5 + 12.641 y2^2 + -411.812 y2 y3 + -182.795 y2 y4 + -538.475 y2 y5 + -8.883 y3^2 + 1364.048 y3 y4 + 2873.077 y3 y5 + 853.528 y4^2 + 2875.472 y4 y5 + -5619.674 y5^2 + -13.376 y1^3 + -9.673 y1^2 y2 + 31.301 y1^2 y3 + 19429.998 y1^2 y4 + 1466.802 y1^2 y5 + -87.321 y1 y2^2 + 14459.764 y1 y2 y3 + -2793.546 y1 y2 y4 + -4607.452 y1 y2 y5 + 184.293 y1 y3^2 + -122817.524 y1 y3 y4 + -80027.886 y1 y3 y5 + -94734.996 y1 y5^2 + -74.262 y2^3 + 547.786 y2^2 y3 + 1716.426 y2^2 y4 + 6389.312 y2^2 y5 + -42203.945 y2 y3^2 + 165947.379 y2 y3 y5 + -20166.504 y2 y4^2 + -85.115 y3^3 + 224103.983 y3^2 y5
y3' = 0.068 y1 + 0.082 y2 + -0.258 y3 + 0.210 y4 + -11.548 y5 + -3.316 y1^2 + 7.006 y1 y2 + 22.378 y1 y3 + -29.951 y1 y4 + 894.778 y1 y5 + -2.553 y2^2 + -167.469 y2 y3 + 25.371 y2 y4 + 33.346 y2 y5 + -30.337 y3^2 + 466.796 y3 y4 + -2092.117 y3 y5 + 255.132 y4^2 + -315.583 y4 y5 + 45.220 y1^3 + -31.843 y1^2 y2 + -411.022 y1^2 y3 + -15583.638 y1^2 y5 + -33.962 y1 y2^2 + 4567.414 y1 y2 y3 + -3973.771 y1 y2 y4 + 1097.308 y1 y3^2 + 51540.851 y1 y3 y5 + 13.005 y2^3 + -353.002 y2^2 y4 + 3041.373 y2^2 y5 + -9796.411 y2 y3^2 + -2159.515 y2 y4^2 + -992.617 y3^3
y4' = -0.011 y1 + -0.037 y2 + 0.021 y3 + 0.378 y4 + 0.572 y5 + 0.474 y1^2 + 0.099 y1 y2 + -2.438 y1 y3 + 105.854 y1 y4 + -64.870 y1 y5 + 2.689 y2^2 + 26.124 y2 y3 + -62.920 y2 y4 + -89.142 y2 y5 + 3.773 y3^2 + -455.737 y3 y4 + -35.049 y3 y5 + 235.328 y4^2 + -939.386 y4 y5 + 1828.567 y5^2 + -3.936 y1^3 + 8.816 y1^2 y2 + 24.101 y1^2 y3 + 257.666 y1^2 y5 + -27.119 y1 y2^2 + 4.955 y1 y2 y3 + -1538.566 y1 y2 y4 + -41.579 y1 y3^2 + -0.036 y2^3 + -1503.367 y2^2 y3 + 335.131 y2^2 y4 + 2143.553 y2^2 y5
y5' = -0.010 y1 + -0.007 y2 + 0.029 y3 + -0.444 y4 + 0.803 y5 + 0.524 y1^2 + 2.454 y1 y2 + -3.344 y1 y3 + 76.618 y1 y4 + -47.554 y1 y5 + 0.327 y2^2 + -22.113 y2 y3 + 17.827 y2 y4 + -122.418 y2 y5 + 5.647 y3^2 + -285.758 y3 y4 + 46.453 y3 y5 + 1.254 y4^2 + -159.253 y4 y5 + 1048.359 y5^2 + -3.923 y1^3 + -7.553 y1^2 y2 + 21.515 y1^2 y3 + -8.339 y1 y2^2 + 320.411 y1 y2 y3 + -1692.985 y1 y2 y4 + -1.448 y1 y3^2 + -0.402 y2^3 + -167.803 y2^2 y4 + 1849.960 y2^2 y5 + -101.273 y3^3
[0.02742241] [0.01305679]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
   6.          7.          8.          9.         10.         11.
  12.         13.         14.         15.         16.         17.
  18.         19.         20.         21.         22.         23.
  24.         25.         26.         27.         28.         29.
  30.         31.         32.         33.         34.         35.
  36.         37.         38.         39.         40.         41.
  42.         43.         44.         45.         46.         47.
  48.         49.         50.         51.         52.         53.
  54.         55.         56.         57.         58.         59.
  60.         61.         62.         63.         64.         65.
  66.         67.         68.         69.         70.         71.
  72.         73.         74.         75.         76.         77.
  78.         79.         80.         81.         82.         83.
  84.         85.         86.         87.         88.         89.
  90.         91.         92.         93.         94.         95.
  96.         97.         98.         99.        ]
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   0.02345627  0.02356658  0.02370154  0.02385667  0.02402568  0.02421073
   0.02440585  0.02461466  0.02483094  0.02505985  0.02529197  0.02553727
   0.02578553  0.02604686  0.02631191  0.0265874   0.02686776  0.02715854
   0.02745159  0.02775931  0.02807246  0.02839461  0.02872221  0.02906182
   0.02941146  0.02976685  0.03013562  0.03051024  0.03090009  0.03129674
   0.03170824  0.03212814  0.03256244  0.03300489  0.03346444  0.03393735
   0.03441963  0.03492061  0.03543281  0.03596348  0.03650373  0.03706519
   0.03764318  0.03823255  0.03884544  0.03947224  0.0401184   0.04078188
   0.04146334  0.04216758  0.04288491  0.04362584  0.04438732  0.04516175
   0.04596202  0.04677982  0.04761135  0.04846741  0.04933862  0.05022261
   0.05112756  0.05204544  0.05297306  0.05391429  0.0548669   0.05582475
   0.05678489  0.05775261  0.05872102  0.05968401  0.06064086  0.06159045
   0.06253169  0.06345786  0.06436626  0.06525305  0.06611836  0.06695944
   0.06777537  0.06856227  0.06931872  0.07004216  0.07073265  0.07138892
   0.07201106  0.07259939  0.07315306  0.0736744   0.07416254  0.07461888
   0.07504472  0.07544039  0.0758077   0.0761483 ]
 [ 0.01305679  0.00940433  0.00746321  0.00592546  0.00470353  0.00372974
   0.00295668  0.00233787  0.00184716  0.00145775  0.00114694  0.00090173
   0.00070635  0.0005534   0.00043156  0.00033731  0.00026088  0.00020309
   0.00015585  0.00012113  0.00009267  0.00007167  0.00005443  0.00004214
   0.0000306   0.00002407  0.00001825  0.00001407  0.00000977  0.00000749
   0.00000614  0.00000397  0.00000344  0.00000174  0.00000188  0.00000085
   0.00000115  0.00000053  0.00000075 -0.00000025  0.00000009  0.00000048
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  -0.00000001  0.0000001  -0.00000021  0.00000002  0.00000005 -0.00000012
   0.          0.00000004 -0.00000004 -0.00000003  0.00000002  0.00000001
  -0.00000003 -0.00000001  0.00000001  0.         -0.         -0.
  -0.          0.          0.         -0.         -0.         -0.
  -0.          0.          0.          0.          0.         -0.
  -0.         -0.         -0.         -0.         -0.         -0.
  -0.         -0.         -0.         -0.        ]
 [ 0.          0.00156938  0.00157728  0.00157567  0.00158046  0.00159065
   0.00160467  0.00162284  0.00164356  0.00166653  0.00169237  0.00171968
   0.00174945  0.00178016  0.00181323  0.00184686  0.00188363  0.00192046
   0.00196032  0.00200009  0.00204266  0.00208597  0.00213181  0.00217853
   0.00222884  0.00227887  0.00233174  0.00238645  0.00244435  0.00250346
   0.00256463  0.00262952  0.00269577  0.00276623  0.00283787  0.00291394
   0.00299186  0.00307425  0.00315927  0.00324952  0.00334207  0.00343865
   0.00354115  0.00364643  0.00375775  0.00387273  0.0039953   0.00412132
   0.00425307  0.00439314  0.00453705  0.00468919  0.00484781  0.00501422
   0.00518861  0.00536933  0.00556102  0.00575945  0.00596626  0.00618522
   0.00641062  0.0066464   0.00689441  0.00714946  0.00741577  0.00769418
   0.00798017  0.00827694  0.0085852   0.00890194  0.0092269   0.00956165
   0.00990593  0.01025503  0.01061025  0.01097235  0.01133911  0.01170838
   0.01207787  0.01244818  0.0128178   0.01318585  0.01354941  0.01390722
   0.01425725  0.0145992   0.01493178  0.01525455  0.015566    0.01586563
   0.01615253  0.01642601  0.01668626  0.01693209  0.01716426  0.01738256
   0.01758704  0.01777843  0.01795682  0.01812248]
 [ 0.          0.00016383  0.00010398  0.00006574  0.00004136  0.00002626
   0.00001607  0.00001041  0.00000648  0.00000391  0.00000253  0.00000151
   0.00000101  0.00000057  0.00000038  0.00000018  0.00000016  0.00000007
   0.00000007  0.00000003  0.00000002  0.00000001  0.00000001  0.
   0.00000001  0.          0.         -0.          0.          0.
  -0.          0.         -0.          0.         -0.          0.
  -0.          0.         -0.          0.          0.         -0.
   0.         -0.          0.         -0.          0.          0.
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   0.         -0.          0.          0.         -0.          0.
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  -0.         -0.         -0.          0.          0.          0.
   0.         -0.         -0.         -0.         -0.          0.
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 [ 0.          0.00046217  0.00036562  0.00029004  0.00023031  0.00018345
   0.00014518  0.00011627  0.00009238  0.0000728   0.00005828  0.0000458
   0.00003685  0.00002855  0.00002297  0.00001706  0.00001455  0.00001062
   0.00000944  0.00000647  0.00000554  0.00000373  0.00000328  0.00000192
   0.00000291  0.00000137  0.00000099  0.00000044  0.00000113  0.00000068
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   0.00000043 -0.00000012  0.00000022 -0.00000034  0.00000055  0.00000014
  -0.00000028  0.00000047 -0.00000013  0.00000005 -0.00000005  0.00000004
   0.00000023 -0.00000021  0.00000029  0.00000013 -0.00000016  0.00000031
   0.00000001 -0.0000001   0.00000021 -0.00000002 -0.00000005  0.00000012
  -0.         -0.00000004  0.00000004  0.00000003 -0.00000002 -0.00000001
   0.00000003  0.00000001 -0.00000001 -0.          0.          0.
   0.         -0.         -0.          0.          0.          0.
   0.         -0.         -0.         -0.         -0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]]


[0.0865357] [0.16689235]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
   6.          7.          8.          9.         10.         11.
  12.         13.         14.         15.         16.         17.
  18.         19.         20.         21.         22.         23.
  24.         25.         26.         27.         28.         29.
  30.         31.         32.         33.         34.         35.
  36.         37.         38.         39.         40.         41.
  42.         43.         44.         45.         46.         47.
  48.         49.         50.         51.         52.         53.
  54.         55.         56.         57.         58.         59.
  60.         61.         62.         63.         64.         65.
  66.         67.         68.         69.         70.         71.
  72.         73.         74.         75.         76.         77.
  78.         79.         80.         81.         82.         83.
  84.         85.         86.         87.         88.         89.
  90.         91.         92.         93.         94.         95.
  96.         97.         98.         99.        ]
 [ 0.0865357   0.0440593   0.03796672  0.03482776  0.03305655  0.03202887
   0.03144756  0.03115314  0.03105259  0.03108911  0.03122658  0.03143734
   0.03170561  0.03202191  0.03237105  0.03275512  0.03316284  0.03359379
   0.03404769  0.03451667  0.03500933  0.0355144   0.03604061  0.03658228
   0.03713974  0.03771816  0.03830869  0.03892238  0.03955058  0.04019707
   0.04086518  0.04154686  0.04225273  0.04297554  0.04371549  0.04447991
   0.04525902  0.04605834  0.04687965  0.04771471  0.04857013  0.04944499
   0.05033189  0.05123587  0.05215699  0.05308713  0.05402741  0.05498138
   0.05594111  0.05690275  0.05786793  0.0588363   0.05980066  0.06075705
   0.06170419  0.06264238  0.0635675   0.06447454  0.06536022  0.06622234
   0.06705938  0.06787034  0.06865347  0.06940618  0.07012665  0.0708137
   0.07146666  0.07208523  0.07266945  0.07321966  0.07373638  0.07422036
   0.07467253  0.07509391  0.07548571  0.0758492   0.07618571  0.07649661
   0.07678328  0.07704716  0.07728967  0.07751219  0.07771611  0.07790273
   0.07807333  0.07822912  0.07837126  0.0785008   0.07861881  0.07872621
   0.07882391  0.07891275  0.07899347  0.07906682  0.07913345  0.07919391
   0.07924881  0.07929862  0.07934377  0.0793843 ]
 [ 0.16689235  0.06670632  0.0454081   0.03213181  0.02319906  0.01693088
   0.01242577  0.00914165  0.00672746  0.00494653  0.00363183  0.00265828
   0.00193985  0.00141222  0.00102243  0.00073893  0.00053101  0.00037992
   0.00027118  0.00019159  0.00013591  0.00009487  0.00006659  0.00004625
   0.00003164  0.00002219  0.00001458  0.00001031  0.00000682  0.0000044
   0.00000326  0.00000172  0.00000139  0.00000092  0.00000031  0.0000005
   0.00000016  0.00000002  0.0000002  -0.00000004 -0.00000004  0.0000001
  -0.00000004 -0.00000006  0.00000005 -0.         -0.00000005  0.
   0.00000002 -0.00000001 -0.00000001  0.          0.         -0.
  -0.         -0.          0.          0.          0.         -0.
  -0.         -0.         -0.         -0.          0.          0.
   0.          0.         -0.         -0.         -0.         -0.
  -0.         -0.         -0.         -0.         -0.         -0.
  -0.         -0.         -0.         -0.         -0.         -0.
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[0.04255428] [0.02093042]
##########################################################################################################
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[0.08322278] [0.12316959]
##########################################################################################################
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[0.00303698] [0.02794664]
##########################################################################################################
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[0.09625552] [0.01175602]
##########################################################################################################
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[0.04354746] [0.02826643]
##########################################################################################################
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[0.02381915] [0.03519183]
##########################################################################################################
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[0.04370534] [0.25973604]
##########################################################################################################
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   0.00373012  0.0036197   0.00351672  0.00341415  0.00331508  0.0032206
   0.00312537  0.00303751  0.00294832  0.00286403  0.00278207  0.00270022
   0.00262475  0.00254729  0.00247535  0.00240423  0.00233387  0.00226887
   0.00220165  0.00214004  0.0020784   0.00201764]
 [ 0.          0.00098731  0.00054226  0.00035246  0.00025392  0.00019563
   0.00015798  0.00013205  0.00011333  0.00009927  0.00008842  0.00007983
   0.00007289  0.00006719  0.00006243  0.00005842  0.00005499  0.00005204
   0.00004948  0.00004724  0.00004526  0.00004351  0.00004195  0.00004055
   0.0000393   0.00003817  0.00003713  0.00003621  0.00003535  0.00003457
   0.00003386  0.0000332   0.0000326   0.00003203  0.00003153  0.00003104
   0.0000306   0.00003018  0.0000298   0.00002944  0.00002911  0.00002879
   0.0000285   0.00002822  0.00002797  0.00002772  0.0000275   0.00002728
   0.00002709  0.00002689  0.00002672  0.00002654  0.00002639  0.00002623
   0.0000261   0.00002595  0.00002584  0.00002571  0.0000256   0.00002549
   0.00002539  0.0000253   0.00002519  0.00002513  0.00002502  0.00002496
   0.00002487  0.00002481  0.00002474  0.00002467  0.00002463  0.00002455
   0.00002452  0.00002445  0.00002441  0.00002436  0.00002431  0.00002429
   0.00002422  0.00002421  0.00002415  0.00002413  0.0000241   0.00002405
   0.00002405  0.00002399  0.00002399  0.00002396  0.00002392  0.00002393
   0.00002387  0.00002388  0.00002385  0.00002383  0.00002383  0.00002378
   0.00002381  0.00002376  0.00002376  0.00002377]
 [ 0.          0.02558405  0.01699938  0.01235328  0.00948842  0.00756651
   0.00619985  0.00518607  0.00440848  0.00379492  0.00330134  0.0028974
   0.00256196  0.00227994  0.00203996  0.00183319  0.00165402  0.00149856
   0.00136301  0.0012422   0.00113456  0.00104016  0.00095521  0.00087774
   0.00080976  0.00074719  0.00069015  0.00063998  0.00059201  0.00055
   0.00051069  0.00047452  0.00044239  0.00041107  0.00038438  0.0003574
   0.00033472  0.00031169  0.00029213  0.00027251  0.00025555  0.00023874
   0.00022404  0.00020951  0.0001968   0.00018412  0.00017319  0.00016198
   0.00015269  0.00014265  0.00013483  0.00012576  0.00011921  0.00011099
   0.00010542  0.0000981   0.00009315  0.00008689  0.00008223  0.00007716
   0.00007255  0.00006869  0.00006403  0.00006121  0.00005665  0.00005431
   0.00005034  0.00004791  0.00004498  0.00004217  0.00004035  0.00003721
   0.00003602  0.00003308  0.00003173  0.00002971  0.0000278   0.00002685
   0.00002449  0.00002396  0.00002189  0.00002094  0.00001988  0.00001826
   0.00001805  0.00001618  0.00001584  0.0000147   0.00001367  0.00001353
   0.00001198  0.000012    0.00001088  0.00001026  0.00001014  0.00000889
   0.0000091   0.00000807  0.0000077   0.00000766]
 [ 0.          0.00485574  0.00293195  0.00201609  0.00149911  0.00117413
   0.00095419  0.00079716  0.00068027  0.00059021  0.00051909  0.0004617
   0.00041455  0.00037522  0.00034192  0.00031332  0.00028857  0.00026706
   0.00024825  0.00023143  0.00021637  0.00020306  0.000191    0.0001799
   0.00017007  0.00016092  0.00015248  0.00014498  0.00013769  0.00013123
   0.00012509  0.00011935  0.0001142   0.00010905  0.00010463  0.00010003
   0.00009615  0.00009207  0.00008859  0.00008499  0.00008185  0.00007864
   0.0000758   0.00007291  0.00007035  0.00006771  0.00006542  0.00006297
   0.00006095  0.00005864  0.00005688  0.00005468  0.00005315  0.00005104
   0.0000497   0.00004772  0.00004646  0.0000447   0.00004343  0.00004195
   0.00004058  0.00003945  0.00003795  0.00003713  0.00003556  0.00003486
   0.00003342  0.00003261  0.00003153  0.00003046  0.00002983  0.00002852
   0.00002813  0.00002683  0.00002631  0.00002541  0.00002453  0.00002417
   0.00002296  0.0000228   0.00002168  0.00002123  0.00002068  0.00001975
   0.00001973  0.00001855  0.00001843  0.00001771  0.00001705  0.00001704
   0.00001592  0.00001602  0.00001519  0.00001474  0.00001471  0.00001367
   0.00001394  0.00001304  0.00001276  0.00001277]]


##########################################################################################################
Original System 

y1' = 7 y3 + -4.5 y5 + -19.5 y1^2 -9.5 y1 y2 + -10 y1 y5 + -9.75 y1 y3 -9.75 y1 y4
y2' = 9 y4 + -4.5 y5 + -6 y2^2 -9.5 y1 y2 + -10 y3 y2 + -4 y5 y2 -1.75 y2 y4
y3' = 9.75 y1^2 -3.5 y3 + -9.75 y1 y3 + -19.5 y3^2 -10 y3 y2
y4' = 8 y2^2 -4.5 y4 + -9.75 y1 y4 + -1.75 y4 y2
y5' = 9.5 y1 y2 + -4.5 y5 -10 y5 y1 - 4 y5 y2 

this is the multiple run system sans noise with threshold:  1e-05 

y1' = 0.001 1 + 0.001 y1 + -0.083 y2 + 1.266 y3 + 5.088 y4 + -17.935 y5 + -6.801 y1^2 + -5.256 y1 y2 + 63.084 y1 y3 + 10653.099 y1 y4 + 2753.481 y1 y5 + 2.744 y2^2 + -855.596 y2 y3 + -193.977 y2 y4 + -8415.273 y2 y5 + 6752.353 y3^2 + -14948.175 y3 y4 + 33966.859 y3 y5 + -34590.466 y4^2 + 295195.694 y4 y5 + 15.666 y1^3 + 16.457 y1^2 y2 + -20797.886 y1^2 y3 + -276116.058 y1^2 y5 + -1.057 y1 y2^2 + 105698.501 y1 y2 y3 + -5865.805 y1 y3^2 + -7.817 y2^3 + 65162.121 y2^2 y4 + -548457.938 y2^2 y5 + 5583.311 y2 y4^2 + 6178.832 y3^3
y2' = -0.044 y1 + -0.032 y2 + 0.814 y3 + 2.543 y4 + 5.990 y5 + 1.082 y1^2 + -11.776 y1 y2 + -36.029 y1 y3 + 1661.303 y1 y4 + -4608.250 y1 y5 + -4.370 y2^2 + 3197.496 y2 y3 + 8.532 y2 y4 + -1422.157 y2 y5 + -113.824 y3^2 + -41824.956 y3 y4 + 48571.233 y3 y5 + 34711.365 y4^2 + -148713.032 y4 y5 + -123295.640 y5^2 + -9.393 y1^3 + 58.408 y1^2 y2 + 929.629 y1^2 y3 + -1507.814 y1^2 y4 + -6913.538 y1^2 y5 + 10.568 y1 y2^2 + -99827.338 y1 y2 y3 + 171273.526 y1 y2 y4 + 139823.010 y1 y2 y5 + -1210.053 y1 y3^2 + 7.965 y2^3 + 173707.699 y2^2 y3 + -61726.951 y2^2 y4 + 112996.759 y2^2 y5 + 1008.736 y3^3
y3' = 0.030 y1 + 0.016 y2 + -2.202 y3 + -0.469 y4 + 1.533 y5 + 3.383 y1^2 + -0.681 y1 y2 + 40.661 y1 y3 + 1176.501 y1 y4 + 1454.868 y1 y5 + -0.403 y2^2 + -1106.067 y2 y3 + 25.743 y2 y4 + -1105.604 y2 y5 + -7110.170 y3^2 + 3292.845 y4^2 + -397.886 y4 y5 + -9.020 y1^3 + -0.795 y1^2 y2 + 19751.302 y1^2 y3 + 1.131 y1 y2^2 + 12227.526 y1 y3^2 + 1.330 y2^3 + -5905.214 y2^2 y4 + -13445.967 y3^3
y4' = 0.016 y1 + 0.007 y2 + -0.282 y3 + -0.836 y4 + -1.466 y5 + -0.339 y1^2 + -0.393 y1 y2 + 10.534 y1 y3 + -3602.188 y1 y4 + 768.837 y1 y5 + 2.348 y2^2 + -498.503 y2 y3 + -38.547 y2 y4 + 3019.278 y2 y5 + 104.240 y3^2 + 5230.307 y3 y4 + -14216.541 y4^2 + 65369.769 y4 y5 + -4744.729 y5^2 + 3.277 y1^3 + -9.743 y1^2 y2 + -452.228 y1^2 y3 + -2.564 y1 y2^2 + -142727.781 y1 y2 y4 + 127.179 y1 y3^2 + -5.046 y2^3 + 25786.794 y2^2 y4 + 10914.117 y2^2 y5 + -2688.850 y2 y4^2
y5' = 0.013 y1 + 0.009 y2 + 0.021 y3 + 0.087 y4 + -2.020 y5 + -0.333 y1^2 + 2.701 y1 y2 + -10.430 y1 y3 + 803.852 y1 y4 + 1227.982 y1 y5 + -0.229 y2^2 + -861.064 y2 y3 + 16.867 y2 y4 + -793.683 y2 y5 + -1594.124 y3^2 + 2496.648 y4^2 + -129.592 y4 y5 + 2.532 y1^3 + -17.048 y1^2 y2 + 4956.587 y1^2 y3 + 0.145 y1 y2^2 + 664.008 y1 y3^2 + 0.071 y2^3 + -4487.974 y2^2 y4

this is the multiple run system with noise with threshold:  1e-05 

y1' = 0.001 1 + 0.028 y1 + -0.215 y2 + -0.081 y3 + 1.289 y4 + 3.360 y5 + -1.437 y1^2 + -24.515 y1 y2 + 20.119 y1 y3 + 118.918 y1 y4 + -287.470 y1 y5 + 12.493 y2^2 + 219.875 y2 y3 + -167.223 y2 y4 + 323.929 y2 y5 + -73.372 y3^2 + -3240.621 y3 y4 + 1046.665 y3 y5 + 304.279 y4^2 + 334.956 y4 y5 + -96.321 y1^3 + 648.772 y1^2 y2 + 1297.084 y1^2 y3 + 3279.158 y1^2 y5 + -346.807 y1 y2^2 + -7192.604 y1 y2 y3 + 3395.763 y1 y2 y4 + -5943.891 y1 y3^2 + 7.477 y2^3 + -421.673 y2^2 y4 + -1332.499 y2^2 y5 + 1284.594 y2 y4^2 + 9798.659 y3^3
y2' = -0.003 1 + 0.404 y1 + 0.591 y2 + -1.322 y3 + -9.109 y4 + -24.873 y5 + -16.274 y1^2 + 5.189 y1 y2 + 94.379 y1 y3 + -349.589 y1 y4 + 575.003 y1 y5 + -28.066 y2^2 + 127.494 y2 y3 + 755.870 y2 y4 + 553.543 y2 y5 + -122.867 y3^2 + 1227.673 y3 y4 + 1940.576 y3 y5 + -2831.039 y4^2 + -10676.053 y5^2 + 144.213 y1^3 + -398.354 y1^2 y2 + -908.996 y1^2 y3 + 4277.222 y1^2 y4 + 527.077 y1^2 y5 + 286.807 y1 y2^2 + -7133.599 y1 y2 y3 + 15195.395 y1 y2 y5 + 1052.855 y1 y3^2 + 56.337 y2^3 + -7892.373 y2^2 y3 + -5545.502 y2^2 y4 + 25704.108 y2 y4^2 + 967.181 y3^3
y3' = -0.056 y1 + 0.012 y2 + 0.187 y3 + -0.010 y4 + -0.145 y5 + 3.156 y1^2 + 3.693 y1 y2 + -22.920 y1 y3 + 28.193 y1 y4 + -105.965 y1 y5 + -1.284 y2^2 + -13.242 y2 y3 + 10.468 y2 y4 + -19.282 y2 y5 + 54.034 y3^2 + 742.669 y3 y5 + -58.262 y4^2 + 44.310 y4 y5 + -7.460 y1^3 + 4.385 y1^2 y2 + -70.585 y1^2 y3 + -25.987 y1 y2^2 + 851.321 y1 y3^2 + 6.906 y2^3 + 19.703 y2^2 y4 + -2354.894 y3^3
y4' = 0.030 y1 + 0.001 y2 + -0.103 y3 + 0.448 y4 + -1.263 y5 + -1.368 y1^2 + 3.266 y1 y2 + 8.082 y1 y3 + -57.597 y1 y4 + 27.329 y1 y5 + 0.177 y2^2 + 1.238 y2 y3 + -11.256 y2 y4 + -45.516 y2 y5 + -10.288 y3^2 + -17.868 y4^2 + 866.332 y4 y5 + 12.579 y1^3 + -48.201 y1^2 y2 + -83.324 y1^2 y3 + 14.888 y1 y2^2 + 124.268 y1 y3^2 + -1.565 y2^3 + -19.307 y2^2 y4
y5' = -0.002 y1 + -0.017 y2 + 0.004 y3 + -0.037 y4 + -0.660 y5 + -0.077 y1^2 + 2.348 y1 y2 + 0.557 y1 y3 + -2.587 y1 y4 + -2.093 y1 y5 + 0.949 y2^2 + 3.049 y2 y3 + -1.537 y2 y4 + -45.101 y2 y5 + -0.804 y3^2 + -24.314 y4^2 + 444.983 y4 y5 + 0.759 y1^3 + -8.555 y1^2 y2 + -3.451 y1^2 y3 + -9.948 y1 y2^2 + 0.409 y1 y3^2 + -2.490 y2^3 + -18.169 y2^2 y4
[0.13075673] [0.00527775]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
   6.          7.          8.          9.         10.         11.
  12.         13.         14.         15.         16.         17.
  18.         19.         20.         21.         22.         23.
  24.         25.         26.         27.         28.         29.
  30.         31.         32.         33.         34.         35.
  36.         37.         38.         39.         40.         41.
  42.         43.         44.         45.         46.         47.
  48.         49.         50.         51.         52.         53.
  54.         55.         56.         57.         58.         59.
  60.         61.         62.         63.         64.         65.
  66.         67.         68.         69.         70.         71.
  72.         73.         74.         75.         76.         77.
  78.         79.         80.         81.         82.         83.
  84.         85.         86.         87.         88.         89.
  90.         91.         92.         93.         94.         95.
  96.         97.         98.         99.        ]
 [ 0.13075673  0.08467664  0.08377276  0.08320066  0.08277523  0.08243171
   0.08214521  0.08189418  0.08167662  0.08148012  0.08130876  0.08115193
   0.08101523  0.08088916  0.08077936  0.08067769  0.08058904  0.08050696
   0.08043506  0.08036883  0.08031023  0.08025691  0.08020892  0.08016597
   0.08012754  0.08009137  0.08006082  0.08003289  0.08000699  0.07998496
   0.07996361  0.07994592  0.07992839  0.07991433  0.07989981  0.07988869
   0.07987658  0.07986785  0.07985634  0.0798499   0.07984369  0.07983489
   0.07983011  0.07982396  0.07981948  0.07981483  0.07981085  0.07980723
   0.07980368  0.07980088  0.07979772  0.07979552  0.07979273  0.07979097
   0.07978854  0.07978834  0.07978512  0.07978354  0.07978304  0.07978103
   0.07977954  0.07977905  0.07977717  0.07977749  0.07977529  0.07977639
   0.07977389  0.07977563  0.079773    0.07977513  0.07977267  0.07977303
   0.07977502  0.0797714   0.07977389  0.07977506  0.0797737   0.07977527
   0.07977371  0.0797753   0.07977368  0.07977531  0.07977364  0.07977522
   0.07977354  0.07977503  0.07977338  0.07977472  0.07977394  0.07977292
   0.07977499  0.07977293  0.07977244  0.07977267  0.07977194  0.07977218
   0.07977153  0.07977165  0.07977112  0.07977162]
 [ 0.00527775  0.00177796  0.0007693   0.00033434  0.0001457   0.00006376
   0.00002812  0.00001238  0.00000547  0.00000242  0.00000107  0.00000048
   0.00000021  0.00000009  0.00000004  0.00000002  0.00000001  0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]
 [ 0.          0.0224685   0.02204045  0.02174053  0.02151647  0.02133655
   0.02118286  0.02105121  0.02093391  0.02083215  0.02073974  0.02065949
   0.02058586  0.02052201  0.02046306  0.02041195  0.02036465  0.02032352
   0.02028554  0.02025226  0.02022178  0.02019467  0.02017026  0.02014811
   0.02012803  0.02011077  0.02009409  0.02007926  0.02006628  0.02005384
   0.02004343  0.02003319  0.02002479  0.02001625  0.02000955  0.02000241
   0.0199971   0.0199911   0.01998767  0.01998241  0.01997788  0.01997553
   0.01997168  0.0199692   0.01996638  0.01996415  0.01996203  0.01996012
   0.01995855  0.01995692  0.01995578  0.0199544   0.01995359  0.01995243
   0.01995186  0.01995025  0.01995045  0.0199499   0.01994891  0.01994886
   0.01994864  0.01994797  0.01994815  0.01994721  0.01994772  0.0199465
   0.0199473   0.01994584  0.01994682  0.01994524  0.01994621  0.01994568
   0.01994428  0.01994598  0.01994438  0.01994351  0.01994405  0.019943
   0.01994369  0.01994267  0.01994342  0.01994241  0.01994321  0.01994224
   0.01994307  0.01994218  0.019943    0.0199422   0.01994257  0.01994307
   0.0199419   0.01994297  0.0199432   0.01994304  0.01994341  0.01994325
   0.01994357  0.01994349  0.01994375  0.01994346]
 [ 0.          0.00000683  0.00000127  0.0000003   0.00000006  0.00000001
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]
 [ 0.          0.00031799  0.00013604  0.00005887  0.00002588  0.00001138
   0.00000488  0.00000215  0.00000094  0.00000042  0.00000018  0.00000008
   0.00000004  0.00000002  0.00000001  0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]]


[0.18821707] [0.07845589]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
   6.          7.          8.          9.         10.         11.
  12.         13.         14.         15.         16.         17.
  18.         19.         20.         21.         22.         23.
  24.         25.         26.         27.         28.         29.
  30.         31.         32.         33.         34.         35.
  36.         37.         38.         39.         40.         41.
  42.         43.         44.         45.         46.         47.
  48.         49.         50.         51.         52.         53.
  54.         55.         56.         57.         58.         59.
  60.         61.         62.         63.         64.         65.
  66.         67.         68.         69.         70.         71.
  72.         73.         74.         75.         76.         77.
  78.         79.         80.         81.         82.         83.
  84.         85.         86.         87.         88.         89.
  90.         91.         92.         93.         94.         95.
  96.         97.         98.         99.        ]
 [ 0.18821707  0.09361879  0.08773893  0.08520543  0.08393802  0.08320475
   0.08271711  0.08235472  0.08206248  0.08181565  0.08160126  0.08141337
   0.08124628  0.081097    0.08096534  0.08084577  0.08073914  0.0806443
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[0.00728479] [0.12255031]
##########################################################################################################
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[0.04233248] [0.00719967]
##########################################################################################################
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[0.03875368] [0.05994488]
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[0.10182656] [0.03333315]
##########################################################################################################
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[0.06055858] [0.00465086]
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[0.10727476] [0.01883324]
##########################################################################################################
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[0.02559865] [0.02909634]
##########################################################################################################
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   0.00758831  0.00623932  0.00513094  0.00421567  0.00346536  0.00284365
   0.00233414  0.00191212  0.00156627  0.00128038  0.00104637  0.00085327
   0.00069554  0.0005655   0.00045983  0.00037267  0.00030228  0.00024395
   0.00019747  0.00015869  0.00012826  0.00010238  0.00008272  0.00006558
   0.00005307  0.0000416   0.00003378  0.0000261   0.00002142  0.00001623
   0.00001347  0.00000987  0.00000844  0.00000601  0.00000528  0.00000347
   0.00000323  0.0000021   0.00000201  0.00000114  0.00000112  0.00000076
   0.00000062  0.00000047  0.00000017  0.00000044 -0.00000011  0.0000004
  -0.00000036  0.00000046 -0.00000053  0.0000004  -0.00000058  0.00000038
  -0.00000037  0.00000017 -0.00000019 -0.00000006  0.00000014 -0.00000036
   0.00000028 -0.0000005   0.0000003  -0.00000043  0.0000001   0.00000002
  -0.00000024  0.00000022 -0.00000042  0.00000022 -0.00000023 -0.00000008
   0.00000017 -0.00000038  0.00000018 -0.00000009 -0.00000013  0.00000016
  -0.00000024  0.00000003  0.00000006 -0.00000021  0.00000006  0.00000002
  -0.00000015  0.00000004  0.00000002 -0.0000001   0.00000001  0.00000003
  -0.00000004 -0.00000002  0.00000001 -0.00000001]
 [ 0.          0.00125277  0.00121341  0.00117767  0.0011537   0.00113839
   0.00112965  0.00112571  0.00112553  0.00112874  0.00113395  0.00114175
   0.00115075  0.00116173  0.00117359  0.00118694  0.001201    0.00121628
   0.00123216  0.00124914  0.00126656  0.00128506  0.0013039   0.00132391
   0.00134409  0.00136551  0.00138704  0.00140997  0.00143288  0.00145728
   0.00148162  0.00150763  0.00153354  0.00156119  0.00158872  0.00161813
   0.00164751  0.00167883  0.00171013  0.00174341  0.00177691  0.00181246
   0.00184826  0.00188606  0.00192451  0.00196495  0.00200624  0.00204932
   0.00209381  0.00213997  0.00218796  0.00223729  0.00228918  0.00234214
   0.00239826  0.00245514  0.00251593  0.00257731  0.00264301  0.00270946
   0.00278035  0.00285283  0.00292931  0.00300846  0.00309091  0.00317773
   0.00326692  0.00336181  0.00345882  0.00356221  0.00366847  0.00378039
   0.0038977   0.00401919  0.0041481   0.00428072  0.00442146  0.00456759
   0.00472024  0.00488177  0.0050482   0.00522434  0.00540806  0.00559915
   0.00580109  0.00600991  0.00622871  0.00645848  0.00669555  0.00694406
   0.00720362  0.007471    0.00775005  0.00804053  0.0083386   0.00864726
   0.0089673   0.00929486  0.00963001  0.00997529]
 [ 0.          0.00077932  0.00052052  0.00034827  0.00023402  0.0001577
   0.00010712  0.00007234  0.00004865  0.00003343  0.00002212  0.00001529
   0.00001003  0.00000693  0.00000453  0.00000312  0.00000202  0.00000139
   0.00000089  0.00000063  0.00000039  0.00000028  0.00000016  0.00000013
   0.00000007  0.00000006  0.00000003  0.00000003  0.00000001  0.00000001
   0.          0.00000001  0.          0.         -0.          0.
  -0.          0.         -0.          0.         -0.          0.
  -0.          0.         -0.          0.         -0.          0.
  -0.          0.          0.         -0.          0.         -0.
   0.         -0.          0.         -0.          0.         -0.
   0.         -0.          0.          0.         -0.          0.
  -0.          0.         -0.          0.         -0.         -0.
   0.         -0.          0.         -0.          0.          0.
  -0.          0.         -0.          0.          0.         -0.
   0.         -0.         -0.          0.         -0.         -0.
   0.         -0.         -0.          0.         -0.         -0.
   0.          0.         -0.          0.        ]
 [ 0.          0.00091075  0.0007258   0.00058414  0.00047353  0.00038584
   0.00031611  0.00025923  0.00021267  0.00017573  0.0001439   0.00011926
   0.00009754  0.00008085  0.0000661   0.00005474  0.00004464  0.00003694
   0.00003003  0.00002492  0.00002007  0.00001672  0.00001329  0.00001131
   0.00000874  0.00000758  0.00000562  0.00000519  0.00000361  0.00000354
   0.00000219  0.00000249  0.00000134  0.0000018   0.00000072  0.00000129
   0.00000037  0.00000104  0.00000014  0.00000072 -0.          0.00000065
  -0.00000002  0.00000039 -0.00000007  0.00000036  0.00000003  0.00000013
   0.00000006  0.00000005  0.00000023 -0.00000014  0.00000034 -0.00000023
   0.00000049 -0.00000036  0.00000061 -0.00000035  0.00000062 -0.00000035
   0.0000004  -0.00000015  0.0000002   0.00000007 -0.00000013  0.00000036
  -0.00000028  0.00000051 -0.00000029  0.00000043 -0.0000001  -0.00000002
   0.00000024 -0.00000022  0.00000042 -0.00000022  0.00000023  0.00000008
  -0.00000017  0.00000038 -0.00000018  0.00000009  0.00000013 -0.00000016
   0.00000024 -0.00000003 -0.00000006  0.00000021 -0.00000006 -0.00000002
   0.00000015 -0.00000004 -0.00000002  0.0000001  -0.00000001 -0.00000003
   0.00000004  0.00000002 -0.00000001  0.00000001]]


##########################################################################################################
Original System 

y1' = 7 y3 + -4.5 y5 + -19.5 y1^2 -9.5 y1 y2 + -10 y1 y5 + -9.75 y1 y3 -9.75 y1 y4
y2' = 9 y4 + -4.5 y5 + -6 y2^2 -9.5 y1 y2 + -10 y3 y2 + -4 y5 y2 -1.75 y2 y4
y3' = 9.75 y1^2 -3.5 y3 + -9.75 y1 y3 + -19.5 y3^2 -10 y3 y2
y4' = 8 y2^2 -4.5 y4 + -9.75 y1 y4 + -1.75 y4 y2
y5' = 9.5 y1 y2 + -4.5 y5 -10 y5 y1 - 4 y5 y2 

this is the multiple run system sans noise with threshold:  0.0001 

y1' = 0.003 1 + -0.107 y1 + -0.297 y2 + -0.731 y3 + 4.106 y4 + 7.391 y5 + -6.391 y1^2 + 2.365 y1 y2 + 226.379 y1 y3 + -5758.241 y1 y5 + 3.118 y2^2 + 4123.522 y2 y3 + -85.145 y2 y4 + 13410.061 y3^2 + -459.576 y3 y5 + 253.827 y4^2 + 17.178 y1^3 + -16.167 y1^2 y2 + -43844.768 y1^2 y3 + -17.225 y1 y2^2 + -2429.151 y1 y3^2 + -8.484 y2^3
y2' = 0.003 1 + -0.102 y1 + -0.300 y2 + -1.657 y3 + 5.422 y4 + 12.317 y5 + 1.551 y1^2 + -8.569 y1 y2 + 75.460 y1 y3 + 302.014 y1 y4 + -8334.862 y1 y5 + 0.430 y2^2 + 5802.817 y2 y3 + -64.049 y2 y4 + -103.945 y2 y5 + 198.055 y3^2 + -1710.345 y3 y5 + -6.856 y1^3 + 18.171 y1^2 y2 + -1721.929 y1^2 y3 + 14.382 y1 y2^2 + 1638.247 y1 y3^2 + -16.659 y2^3
y3' = 0.001 1 + -0.142 y1 + -0.127 y2 + -0.633 y3 + -4.258 y4 + 9.181 y5 + 8.658 y1^2 + -10.517 y1 y2 + -67.935 y1 y3 + 10.690 y2^2 + -111.481 y2 y3 + 26.759 y2 y4 + -4310.178 y3^2 + -38.411 y1^3 + 45.678 y1^2 y2 + 14052.800 y1^2 y3 + 32.214 y1 y2^2 + 812.166 y1 y3^2 + -76.272 y2^3
y4' = -0.013 y1 + 0.017 y2 + -0.071 y3 + -2.487 y4 + 0.788 y5 + 0.440 y1^2 + -1.729 y1 y2 + 0.665 y1 y3 + 2.892 y2^2 + 16.531 y2 y4 + -0.983 y3^2 + -2.362 y1^3 + 6.703 y1^2 y2 + -2.080 y1 y2^2 + -10.607 y2^3
y5' = -0.020 y1 + -0.033 y2 + -0.189 y3 + -1.004 y4 + 0.029 y5 + 0.794 y1^2 + 0.026 y1 y2 + 2.074 y1 y3 + 2.603 y2^2 + 7.043 y2 y4 + -2.390 y3^2 + -4.730 y1^3 + 2.464 y1^2 y2 + 4.052 y1 y2^2 + -18.538 y2^3

this is the multiple run system with noise with threshold:  0.0001 

y1' = 0.038 y1 + -0.145 y2 + 0.177 y3 + -0.532 y4 + 10.272 y5 + -0.315 y1^2 + -20.419 y1 y2 + -9.332 y1 y3 + -174.802 y1 y5 + 9.550 y2^2 + 58.900 y2 y3 + -65.140 y2 y4 + 11.927 y3^2 + -291.323 y3 y5 + 337.130 y4^2 + -32.504 y1^3 + 95.437 y1^2 y2 + 339.898 y1^2 y3 + 48.511 y1 y2^2 + -660.169 y1 y3^2 + -57.126 y2^3
y2' = 0.002 1 + -0.144 y1 + -0.229 y2 + 0.193 y3 + -0.062 y4 + 6.263 y5 + 3.060 y1^2 + -15.623 y1 y2 + -6.552 y1 y3 + -249.552 y1 y4 + -34.490 y1 y5 + 8.188 y2^2 + 9.292 y2 y3 + -7.984 y2 y4 + 122.819 y2 y5 + -0.324 y3^2 + -163.420 y3 y5 + -13.141 y1^3 + 35.479 y1^2 y2 + -1.528 y1^2 y3 + 41.178 y1 y2^2 + 114.829 y1 y3^2 + -72.845 y2^3
y3' = 0.001 1 + -0.143 y1 + -0.064 y2 + 0.223 y3 + 0.336 y4 + -1.642 y5 + 4.275 y1^2 + 4.988 y1 y2 + -7.667 y1 y3 + 0.520 y2^2 + 10.264 y2 y3 + -1.801 y2 y4 + -11.103 y3^2 + -13.921 y1^3 + 3.873 y1^2 y2 + -102.674 y1^2 y3 + -44.764 y1 y2^2 + 485.390 y1 y3^2
y4' = 0.015 y1 + 0.038 y2 + -0.019 y3 + -0.193 y4 + -0.315 y5 + -0.254 y1^2 + 0.748 y1 y2 + 0.585 y1 y3 + -1.253 y2^2 + -1.662 y2 y4 + -0.610 y3^2 + 0.753 y1^3 + -9.704 y1 y2^2 + 18.124 y2^3
y5' = -0.020 y1 + -0.033 y2 + -0.030 y3 + -0.046 y4 + -0.567 y5 + 0.376 y1^2 + 1.814 y1 y2 + 0.262 y1 y3 + 0.884 y2^2 + -0.586 y2 y4 + 0.937 y3^2 + -1.700 y1^3 + -4.240 y1^2 y2 + -4.052 y1^2 y3 + -2.919 y1 y2^2 + -4.522 y2^3
[0.1225685] [0.08684631]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
   6.          7.          8.          9.         10.         11.
  12.         13.         14.         15.         16.         17.
  18.         19.         20.         21.         22.         23.
  24.         25.         26.         27.         28.         29.
  30.         31.         32.         33.         34.         35.
  36.         37.         38.         39.         40.         41.
  42.         43.         44.         45.         46.         47.
  48.         49.         50.         51.         52.         53.
  54.         55.         56.         57.         58.         59.
  60.         61.         62.         63.         64.         65.
  66.         67.         68.         69.         70.         71.
  72.         73.         74.         75.         76.         77.
  78.         79.         80.         81.         82.         83.
  84.         85.         86.         87.         88.         89.
  90.         91.         92.         93.         94.         95.
  96.         97.         98.         99.        ]
 [ 0.1225685   0.0686006   0.0645216   0.06304225  0.06273003  0.06299835
   0.06356416  0.06428089  0.06507054  0.06588754  0.06670943  0.06751902
   0.06830807  0.06906923  0.06980164  0.07050079  0.07116845  0.07180173
   0.07240109  0.07296815  0.07350077  0.07400096  0.07446846  0.07490509
   0.07531075  0.07568747  0.07603722  0.07635914  0.07665727  0.0769318
   0.07718323  0.0774157   0.07762755  0.07782162  0.07800059  0.07816197
   0.07831045  0.07844652  0.07856845  0.07868139  0.07878345  0.07887524
   0.07896083  0.07903639  0.07910542  0.07916985  0.0792255   0.07927729
   0.07932508  0.07936654  0.07940513  0.0794399   0.07947106  0.07950003
   0.0795251   0.07954934  0.07956932  0.07958982  0.07960558  0.07962153
   0.07963758  0.0796473   0.07966153  0.07967281  0.07968173  0.07969161
   0.07969849  0.07970684  0.07971222  0.0797194   0.07972349  0.07972969
   0.07973272  0.07973809  0.07974024  0.07974489  0.0797462   0.07974903
   0.07975329  0.07975323  0.07975538  0.07975706  0.07975827  0.0797599
   0.07976065  0.07976206  0.07976246  0.07976365  0.07976384  0.07976478
   0.07976487  0.07976648  0.07976579  0.07976585  0.07976664  0.07976696
   0.07976614  0.07976772  0.07976629  0.07976841]
 [ 0.08684631  0.02994999  0.01590329  0.00855224  0.00460223  0.0024653
   0.00131106  0.00069174  0.00036201  0.00018785  0.0000967   0.00004936
   0.000025    0.00001256  0.00000626  0.0000031   0.00000153  0.00000075
   0.00000036  0.00000017  0.00000008  0.00000004  0.00000002  0.00000001
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]
 [ 0.          0.01416578  0.01264938  0.01215098  0.01208393  0.01222356
   0.01246997  0.01277294  0.01310441  0.01344948  0.01379759  0.01414443
   0.01448613  0.01482131  0.01514685  0.01546267  0.01576606  0.01605737
   0.01633559  0.01659943  0.01684996  0.01708632  0.01730907  0.01751794
   0.01771382  0.01789664  0.01806646  0.01822499  0.01837133  0.01850673
   0.01863226  0.01874706  0.01885337  0.01895096  0.01903966  0.01912206
   0.01919679  0.01926471  0.01932781  0.01938431  0.01943617  0.01948392
   0.01952619  0.01956579  0.01960154  0.01963303  0.01966313  0.01968971
   0.01971336  0.0197358   0.01975558  0.01977359  0.01979009  0.01980461
   0.01981838  0.01983     0.01984158  0.01985074  0.01986054  0.01986849
   0.01987478  0.01988309  0.01988763  0.01989261  0.01989781  0.01990151
   0.01990599  0.01990886  0.01991265  0.0199148   0.01991806  0.01991964
   0.01992247  0.01992359  0.01992608  0.01992685  0.01992913  0.01993029
   0.0199304   0.01993264  0.01993346  0.01993435  0.01993532  0.01993589
   0.01993681  0.01993725  0.01993811  0.01993845  0.01993923  0.01993951
   0.01994019  0.01993996  0.01994093  0.01994143  0.01994148  0.01994174
   0.01994258  0.01994208  0.01994318  0.01994231]
 [ 0.          0.00181742  0.00051717  0.00015043  0.0000436   0.00001247
   0.00000361  0.00000103  0.00000029  0.00000008  0.00000002  0.00000001
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]
 [ 0.          0.00428089  0.00214202  0.00112938  0.00060575  0.00032606
   0.00017528  0.00009374  0.0000497   0.00002614  0.0000136   0.00000702
   0.00000359  0.00000183  0.00000092  0.00000046  0.00000023  0.00000011
   0.00000006  0.00000003  0.00000001  0.00000001  0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]]


[0.05038961] [0.09079275]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
   6.          7.          8.          9.         10.         11.
  12.         13.         14.         15.         16.         17.
  18.         19.         20.         21.         22.         23.
  24.         25.         26.         27.         28.         29.
  30.         31.         32.         33.         34.         35.
  36.         37.         38.         39.         40.         41.
  42.         43.         44.         45.         46.         47.
  48.         49.         50.         51.         52.         53.
  54.         55.         56.         57.         58.         59.
  60.         61.         62.         63.         64.         65.
  66.         67.         68.         69.         70.         71.
  72.         73.         74.         75.         76.         77.
  78.         79.         80.         81.         82.         83.
  84.         85.         86.         87.         88.         89.
  90.         91.         92.         93.         94.         95.
  96.         97.         98.         99.        ]
 [ 0.05038961  0.03315676  0.03025546  0.02853873  0.0274674   0.02678946
   0.02636883  0.02612455  0.02600605  0.02597965  0.02602141  0.02611845
   0.0262572   0.02642832  0.02663017  0.02685106  0.02709605  0.02735397
   0.02763035  0.02791791  0.02821936  0.02853241  0.02885576  0.02919217
   0.02953616  0.02989504  0.03025975  0.03064078  0.03102747  0.03143049
   0.03184105  0.03226613  0.03270244  0.03315043  0.03361412  0.03408684
   0.03457885  0.03507967  0.03559975  0.03613233  0.03668046  0.03724719
   0.03782561  0.03842676  0.03904063  0.03967415  0.04032699  0.04099391
   0.04168534  0.04239168  0.0431175   0.04386592  0.04462858  0.04541431
   0.04621933  0.04703889  0.04788186  0.04874147  0.0496145   0.05050853
   0.05141708  0.05233571  0.05326971  0.05421631  0.05516835  0.05612605
   0.05709238  0.05806035  0.05902499  0.05998528  0.06094235  0.06189144
   0.06282711  0.06374616  0.06464675  0.06552796  0.06638788  0.0672226
   0.06802919  0.06880561  0.06955043  0.07026266  0.07094167  0.07158711
   0.07219894  0.07277721  0.07332188  0.07383328  0.07431202  0.07475897
   0.07517518  0.07556185  0.07592027  0.07625184  0.07655797  0.0768401
   0.0770997   0.07733818  0.07755695  0.07775567]
 [ 0.09079275  0.04800844  0.03545544  0.026724    0.02038503  0.01565715
   0.01207491  0.00933235  0.0072193   0.00558384  0.00431348  0.00333006
   0.00256609  0.00197242  0.00151483  0.00115832  0.00088572  0.00067364
   0.00051227  0.00038752  0.0002927   0.00022035  0.000165    0.0001238
   0.00009159  0.0000687   0.00004996  0.00003763  0.00002682  0.00002026
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[0.06448953] [0.0748866]
##########################################################################################################
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[0.02869891] [0.13577454]
##########################################################################################################
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[0.07132587] [0.05564047]
##########################################################################################################
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[0.06101498] [0.01472234]
##########################################################################################################
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[0.03677934] [0.15881442]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
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[0.05960771] [0.06528927]
##########################################################################################################
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[0.03870594] [0.01328212]
##########################################################################################################
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[0.021505] [0.02609861]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
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   0.03457598  0.03508241  0.03560156  0.03613361]
 [ 0.02609861  0.01930643  0.01616969  0.01358565  0.01144026  0.00964735
   0.00814527  0.00687861  0.00581216  0.00491158  0.0041486   0.00350579
   0.00295834  0.00249846  0.00210582  0.00177682  0.00149507  0.00126001
   0.00105845  0.00089091  0.0007468   0.0006276   0.0005251   0.00044049
   0.00036789  0.00030791  0.00025678  0.00021407  0.00017853  0.00014834
   0.00012377  0.00010187  0.00008531  0.00006983  0.00005881  0.0000473
   0.00004013  0.00003197  0.00002745  0.00002147  0.0000186   0.0000143
   0.00001245  0.00000953  0.00000847  0.00000636  0.00000539  0.00000415
   0.0000037   0.00000292  0.00000217  0.00000181  0.00000136  0.00000142
   0.00000078  0.00000086  0.00000014  0.00000072  0.00000023  0.00000054
  -0.00000045  0.00000035  0.00000003  0.00000049 -0.00000061  0.00000014
  -0.00000005  0.00000047 -0.00000045  0.00000001 -0.00000009  0.00000031
  -0.00000015 -0.00000012 -0.00000009 -0.00000001  0.00000012 -0.0000003
   0.00000001 -0.00000037  0.00000031 -0.0000006   0.00000021 -0.00000043
   0.00000041 -0.00000096  0.00000019 -0.00000007  0.00000028 -0.00000062
  -0.00000017  0.00000033 -0.00000033  0.00000008 -0.00000028  0.0000005
  -0.00000082 -0.00000003  0.0000002  -0.00000012]
 [ 0.          0.00092114  0.00089838  0.0008738   0.00085629  0.00084406
   0.00083577  0.00083077  0.00082817  0.00082755  0.00082875  0.00083098
   0.00083484  0.00083911  0.00084483  0.00085061  0.0008578   0.00086477
   0.00087305  0.000881    0.00089022  0.00089906  0.000909    0.00091867
   0.00092922  0.0009397   0.00095081  0.00096216  0.00097372  0.00098579
   0.00099788  0.0010109   0.00102345  0.00103712  0.00105024  0.00106483
   0.00107859  0.00109382  0.00110829  0.00112429  0.00113959  0.00115633
   0.00117257  0.00119     0.00120715  0.00122545  0.00124379  0.00126287
   0.00128215  0.00130221  0.00132288  0.00134396  0.00136573  0.00138787
   0.00141106  0.00143455  0.0014592   0.00148384  0.00150986  0.00153619
   0.00156414  0.00159184  0.00162111  0.00165081  0.00168246  0.00171392
   0.00174704  0.00178077  0.0018166   0.00185268  0.00189038  0.00192902
   0.00196964  0.00201131  0.00205446  0.00209913  0.00214537  0.00219377
   0.00224335  0.00229538  0.00234847  0.00240502  0.00246219  0.00252295
   0.00258472  0.00265113  0.0027177   0.00278844  0.00286146  0.0029389
   0.0030181   0.0031006   0.00318806  0.00327797  0.00337281  0.00347031
   0.00357506  0.00368152  0.00379356  0.00391158]
 [ 0.          0.00068065  0.00047972  0.00033972  0.00024105  0.00017171
   0.00012188  0.00008742  0.00006233  0.00004441  0.00003205  0.00002248
   0.00001649  0.00001138  0.00000843  0.0000057   0.00000433  0.00000286
   0.0000022   0.0000014   0.00000112  0.0000007   0.00000056  0.00000034
   0.00000027  0.00000017  0.00000013  0.00000009  0.00000006  0.00000005
   0.00000002  0.00000003  0.00000001  0.00000002  0.          0.00000001
   0.          0.00000001 -0.          0.         -0.          0.
  -0.          0.         -0.          0.          0.          0.
  -0.         -0.          0.          0.          0.         -0.
   0.         -0.          0.         -0.          0.         -0.
   0.         -0.          0.         -0.          0.         -0.
   0.         -0.          0.          0.          0.         -0.
   0.          0.          0.         -0.         -0.          0.
  -0.          0.         -0.          0.         -0.          0.
  -0.          0.         -0.          0.         -0.          0.
   0.         -0.          0.         -0.          0.         -0.
   0.          0.         -0.          0.        ]
 [ 0.          0.00073426  0.00060356  0.00049997  0.00041654  0.00034865
   0.00029232  0.0002464   0.00020769  0.00017519  0.00014856  0.00012496
   0.0001066   0.00008931  0.00007651  0.00006372  0.000055    0.00004548
   0.00003942  0.00003226  0.00002824  0.00002294  0.00002012  0.00001626
   0.00001421  0.00001153  0.00000993  0.0000084   0.00000685  0.00000595
   0.00000453  0.00000465  0.00000308  0.00000337  0.0000018   0.00000277
   0.00000121  0.0000021   0.00000061  0.0000016   0.00000035  0.00000123
   0.00000027  0.00000087  0.00000002  0.00000057  0.00000026  0.00000043
   0.00000003  0.00000009  0.00000027  0.00000016  0.00000023 -0.00000014
   0.00000025 -0.00000003  0.00000052 -0.00000019  0.00000019 -0.00000021
   0.00000072 -0.00000014  0.00000014 -0.00000036  0.00000072 -0.00000006
   0.00000011 -0.00000042  0.00000049  0.00000002  0.00000011 -0.00000029
   0.00000017  0.00000013  0.0000001   0.00000002 -0.00000011  0.00000031
  -0.00000001  0.00000037 -0.00000031  0.0000006  -0.00000021  0.00000043
  -0.00000041  0.00000096 -0.00000019  0.00000007 -0.00000028  0.00000062
   0.00000017 -0.00000033  0.00000033 -0.00000008  0.00000028 -0.0000005
   0.00000082  0.00000003 -0.0000002   0.00000012]]


##########################################################################################################
Original System 

y1' = 7 y3 + -4.5 y5 + -19.5 y1^2 -9.5 y1 y2 + -10 y1 y5 + -9.75 y1 y3 -9.75 y1 y4
y2' = 9 y4 + -4.5 y5 + -6 y2^2 -9.5 y1 y2 + -10 y3 y2 + -4 y5 y2 -1.75 y2 y4
y3' = 9.75 y1^2 -3.5 y3 + -9.75 y1 y3 + -19.5 y3^2 -10 y3 y2
y4' = 8 y2^2 -4.5 y4 + -9.75 y1 y4 + -1.75 y4 y2
y5' = 9.5 y1 y2 + -4.5 y5 -10 y5 y1 - 4 y5 y2 

this is the multiple run system sans noise with threshold:  0.001 

y1' = 0.010 y1 + 0.107 y2 + 3.087 y3 + -0.152 y4 + -8.477 y1^2 + -3.359 y1 y2 + -33.044 y1 y3 + -2.323 y2^2 + 87.372 y1^3 + -120.352 y1^2 y2 + 77.991 y1 y2^2
y2' = -0.086 y1 + 0.240 y2 + 0.720 y3 + -0.118 y4 + 2.887 y1^2 + -19.598 y1 y2 + -30.408 y1 y3 + -3.966 y2^2 + 56.446 y3^2 + 18.757 y1^2 y2 + 80.876 y1 y2^2 + -7.132 y2^3
y3' = 0.001 y1 + 0.009 y2 + -0.517 y3 + -0.053 y4 + 1.748 y1^2 + 0.409 y1 y2 + -0.498 y1 y3 + -0.145 y2^2
y4' = -0.040 y2 + -0.804 y4 + 0.417 y5 + -0.477 y1 y2 + 2.389 y2^2 + -5.601 y2^3
y5' = 0.002 y1 + 0.149 y3 + 0.050 y4 + -0.885 y5 + -0.488 y1^2 + 1.785 y1 y2 + -0.048 y2^2

this is the multiple run system with noise with threshold:  0.001 

y1' = -0.003 1 + 0.391 y1 + 0.217 y2 + -0.026 y3 + 0.293 y4 + 1.234 y5 + -13.199 y1^2 + -16.629 y1 y2 + 43.529 y1 y3 + -4.328 y2^2 + -92.625 y3^2 + 48.506 y1^3 + 9.132 y1^2 y2 + 164.995 y1 y2^2
y2' = 0.023 y1 + 0.104 y2 + -0.098 y3 + -2.364 y4 + -16.769 y1 y2 + -1.172 y1 y3 + 5.721 y2^2 + 5.808 y3^2 + 133.640 y1^2 y2 + -142.346 y1 y2^2 + -27.722 y2^3
y3' = -0.010 y1 + -0.019 y2 + 0.059 y3 + -0.051 y4 + 0.344 y1^2 + 2.495 y1 y2 + -1.559 y1 y3 + -0.304 y2^2
y4' = -0.062 y2 + -1.006 y4 + 0.600 y5 + -0.645 y1 y2 + 3.728 y2^2 + -14.510 y2^3
y5' = -0.001 y1 + 0.004 y2 + 0.003 y3 + -0.057 y4 + -0.537 y5 + 0.947 y1 y2 + 0.131 y2^2
[0.05117715] [0.14271737]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
   6.          7.          8.          9.         10.         11.
  12.         13.         14.         15.         16.         17.
  18.         19.         20.         21.         22.         23.
  24.         25.         26.         27.         28.         29.
  30.         31.         32.         33.         34.         35.
  36.         37.         38.         39.         40.         41.
  42.         43.         44.         45.         46.         47.
  48.         49.         50.         51.         52.         53.
  54.         55.         56.         57.         58.         59.
  60.         61.         62.         63.         64.         65.
  66.         67.         68.         69.         70.         71.
  72.         73.         74.         75.         76.         77.
  78.         79.         80.         81.         82.         83.
  84.         85.         86.         87.         88.         89.
  90.         91.         92.         93.         94.         95.
  96.         97.         98.         99.        ]
 [ 0.05117715  0.0297143   0.02553907  0.02307614  0.02148761  0.02040632
   0.01964502  0.0190969   0.01869784  0.01840659  0.01819528  0.01804465
   0.01794236  0.01787704  0.01784083  0.01783071  0.01783821  0.01786479
   0.01790277  0.01795477  0.01801457  0.01808511  0.01816093  0.01824559
   0.01833356  0.01842942  0.0185269   0.01863198  0.01873728  0.01885018
   0.01896225  0.01908198  0.01920026  0.01932607  0.0194503   0.0195817
   0.01971179  0.01984846  0.01998445  0.02012629  0.02026827  0.0204153
   0.02056342  0.02071579  0.02087024  0.02102818  0.02118917  0.02135299
   0.02152077  0.02169084  0.02186569  0.02204244  0.02222468  0.02240855
   0.02259854  0.02279004  0.02298817  0.02318785  0.02339455  0.02360298
   0.02381874  0.02403654  0.02426188  0.02448975  0.02472521  0.02496389
   0.02521009  0.02546037  0.02571794  0.02598072  0.02625036  0.02652659
   0.02680905  0.02709973  0.02739586  0.02770204  0.02801282  0.02833555
   0.02866216  0.02900245  0.02934637  0.02970507  0.0300682   0.03044594
   0.03083029  0.03122777  0.03163529  0.03205362  0.03248603  0.03292687
   0.03338542  0.03385153  0.03433659  0.03483157  0.035343    0.0358696
   0.0364087   0.0369684   0.03753883  0.03813009]
 [ 0.14271737  0.07076097  0.05408482  0.04268386  0.03435987  0.028018
   0.02305052  0.01907887  0.01585944  0.01322304  0.01104701  0.00924092
   0.00773963  0.0064844   0.00543219  0.00455358  0.0038127   0.00319447
   0.00267227  0.00223645  0.00186833  0.00156143  0.00130212  0.00108659
   0.00090416  0.00075339  0.00062524  0.00052029  0.00043042  0.00035781
   0.00029487  0.00024497  0.00020102  0.00016694  0.00013633  0.0001132
   0.00009198  0.00007634  0.00006174  0.00005119  0.00004123  0.00003409
   0.0000274   0.00002253  0.00001813  0.00001474  0.00001196  0.00000953
   0.00000787  0.00000605  0.00000519  0.00000376  0.00000343  0.00000225
   0.00000229  0.00000127  0.00000154  0.00000064  0.00000106  0.00000025
   0.00000074  0.00000003  0.00000052 -0.00000009  0.00000036 -0.00000013
   0.00000023 -0.00000011  0.00000011 -0.00000006 -0.00000001  0.00000003
  -0.00000015  0.00000014 -0.0000003   0.00000025 -0.00000045  0.00000033
  -0.00000057  0.00000038 -0.00000062  0.00000036 -0.00000051  0.00000024
  -0.00000027  0.00000004 -0.         -0.00000024  0.00000023 -0.00000048
   0.00000032 -0.0000005   0.00000022 -0.0000002  -0.00000006  0.00000013
  -0.00000038  0.00000027 -0.00000038 -0.00000007]
 [ 0.          0.00238018  0.00177283  0.00145512  0.00126984  0.0011528
   0.0010749   0.00102143  0.00098406  0.00095781  0.00093958  0.00092732
   0.0009194   0.00091501  0.00091353  0.00091394  0.0009166   0.00092029
   0.00092573  0.00093179  0.00093925  0.00094708  0.00095612  0.0009653
   0.00097566  0.00098593  0.00099743  0.00100863  0.00102116  0.00103319
   0.00104667  0.00105949  0.00107384  0.00108748  0.00110265  0.00111715
   0.00113311  0.00114853  0.00116527  0.00118166  0.0011992   0.00121663
   0.00123501  0.00125353  0.0012728   0.00129248  0.00131272  0.00133361
   0.0013549   0.00137708  0.00139952  0.00142306  0.00144677  0.00147175
   0.00149684  0.00152337  0.00154997  0.00157816  0.00160642  0.00163637
   0.00166647  0.00169832  0.00173042  0.00176433  0.00179864  0.00183476
   0.0018715   0.00191001  0.00194944  0.00199054  0.00203294  0.00207685
   0.00212253  0.0021695   0.0022188   0.00226912  0.0023224   0.00237643
   0.00243406  0.00249223  0.00255453  0.00261742  0.00268465  0.002753
   0.00282547  0.00290007  0.00297818  0.00305984  0.00314417  0.00323357
   0.00332498  0.00342251  0.00352229  0.00362811  0.0037379   0.00385255
   0.00397356  0.00409819  0.00423079  0.00436781]
 [ 0.          0.00925075  0.00539007  0.00335267  0.00217094  0.00144398
   0.00097706  0.00066965  0.00046288  0.0003218   0.00022494  0.0001581
   0.00011046  0.00007753  0.00005493  0.00003807  0.00002726  0.00001871
   0.00001344  0.00000916  0.00000661  0.00000445  0.00000325  0.00000214
   0.0000016   0.00000101  0.0000008   0.00000047  0.0000004   0.00000021
   0.0000002   0.00000009  0.0000001   0.00000004  0.00000005  0.00000002
   0.00000003  0.00000001  0.00000001  0.          0.00000001  0.
   0.          0.          0.          0.          0.          0.
   0.          0.         -0.          0.         -0.          0.
  -0.          0.         -0.          0.         -0.          0.
  -0.          0.         -0.          0.         -0.          0.
  -0.          0.         -0.          0.          0.         -0.
   0.         -0.          0.         -0.          0.         -0.
   0.         -0.          0.         -0.          0.         -0.
   0.         -0.         -0.          0.         -0.          0.
  -0.          0.         -0.          0.          0.         -0.
   0.         -0.          0.          0.        ]
 [ 0.          0.00434559  0.002852    0.00203708  0.00152983  0.00118733
   0.00094197  0.00075927  0.00061891  0.00050862  0.00042069  0.0003498
   0.00029118  0.00024318  0.00020403  0.00017028  0.0001436   0.00011971
   0.00010116  0.00008425  0.0000713   0.00005921  0.00005026  0.00004148
   0.00003544  0.00002891  0.00002503  0.00002002  0.00001773  0.00001375
   0.00001259  0.00000936  0.00000894  0.00000632  0.00000634  0.00000423
   0.00000447  0.00000283  0.00000312  0.0000019   0.00000214  0.0000013
   0.00000143  0.00000093  0.00000092  0.00000071  0.00000055  0.00000059
   0.00000029  0.00000052  0.0000001   0.00000049 -0.00000003  0.00000047
  -0.00000011  0.00000046 -0.00000017  0.00000045 -0.00000019  0.00000043
  -0.0000002   0.0000004  -0.00000019  0.00000035 -0.00000016  0.00000029
  -0.00000011  0.00000021 -0.00000004  0.00000011  0.00000006  0.
   0.00000017 -0.00000012  0.00000031 -0.00000023  0.00000046 -0.00000033
   0.00000058 -0.00000038  0.00000063 -0.00000035  0.00000051 -0.00000024
   0.00000028 -0.00000004  0.          0.00000024 -0.00000023  0.00000048
  -0.00000032  0.0000005  -0.00000022  0.0000002   0.00000006 -0.00000013
   0.00000038 -0.00000027  0.00000038  0.00000007]]


[0.06057615] [0.00914882]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
   6.          7.          8.          9.         10.         11.
  12.         13.         14.         15.         16.         17.
  18.         19.         20.         21.         22.         23.
  24.         25.         26.         27.         28.         29.
  30.         31.         32.         33.         34.         35.
  36.         37.         38.         39.         40.         41.
  42.         43.         44.         45.         46.         47.
  48.         49.         50.         51.         52.         53.
  54.         55.         56.         57.         58.         59.
  60.         61.         62.         63.         64.         65.
  66.         67.         68.         69.         70.         71.
  72.         73.         74.         75.         76.         77.
  78.         79.         80.         81.         82.         83.
  84.         85.         86.         87.         88.         89.
  90.         91.         92.         93.         94.         95.
  96.         97.         98.         99.        ]
 [ 0.06057615  0.04697816  0.04725867  0.04779214  0.04845266  0.04919815
   0.05000605  0.05085828  0.05173963  0.05264648  0.05357489  0.0545172
   0.05546479  0.05642539  0.05739215  0.05835644  0.05932029  0.06027949
   0.06123551  0.06217986  0.06311048  0.06402295  0.06491915  0.06579468
   0.06664734  0.06747317  0.06827073  0.06903654  0.06977193  0.0704728
   0.0711427   0.07177819  0.07238011  0.07294843  0.07348297  0.07398453
   0.07445281  0.07489089  0.07529731  0.0756749   0.0760257   0.07634825
   0.07664729  0.07692248  0.07717468  0.07740792  0.07762021  0.07781511
   0.07799466  0.07815645  0.07830565  0.07844214  0.07856452  0.07867806
   0.0787804   0.07887258  0.07895884  0.07903447  0.07910377  0.07916912
   0.07922438  0.07927657  0.07932535  0.07936585  0.07940541  0.07943946
   0.07947183  0.07949969  0.07952597  0.07954897  0.07957019  0.07958946
   0.07960661  0.07962191  0.07963623  0.07964913  0.07966049  0.07967153
   0.07968054  0.07968985  0.07969715  0.07970506  0.0797109   0.07971765
   0.07972226  0.07972807  0.07972932  0.07973626  0.07973998  0.07974122
   0.0797465   0.07974752  0.07975143  0.07975259  0.0797555   0.07975662
   0.07975875  0.07975987  0.07976132  0.07976068]
 [ 0.00914882  0.00497653  0.00311704  0.00194227  0.00119987  0.00073575
   0.00044776  0.00027024  0.00016141  0.00009556  0.00005617  0.0000327
   0.00001875  0.00001071  0.00000608  0.00000339  0.00000188  0.00000103
   0.00000056  0.0000003   0.00000016  0.00000008  0.00000004  0.00000002
   0.00000001  0.00000001  0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]
 [ 0.          0.00660113  0.00675342  0.00692472  0.00713125  0.00736521
   0.00761924  0.00788999  0.00817679  0.00847592  0.00878521  0.00910522
   0.00943762  0.00977604  0.01012151  0.01047605  0.01083609  0.01120118
   0.01156778  0.01193748  0.01230845  0.01268004  0.01304835  0.0134128
   0.0137718   0.01412482  0.01447023  0.01480771  0.01513464  0.01545161
   0.01575544  0.01604697  0.01632511  0.01658951  0.01684022  0.01707701
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[0.1133133] [0.04320385]
##########################################################################################################
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[0.00471445] [0.00701346]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
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[0.03554963] [0.05318012]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
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[0.01558601] [0.05886065]
##########################################################################################################
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[0.20472271] [0.14406575]
##########################################################################################################
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[0.0643792] [0.21237261]
##########################################################################################################
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[0.13020809] [0.08080799]
##########################################################################################################
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   0.07976599  0.0797658   0.0797679   0.07976784  0.07976789  0.0797703
   0.07976869  0.07977084  0.07976934  0.0797712   0.07976975  0.07977128
   0.07976999  0.07977116  0.07977008  0.07977019]
 [ 0.08080799  0.02682312  0.01367409  0.00704972  0.00363484  0.00186565
   0.00095112  0.0004817   0.00024213  0.00012084  0.0000599   0.00002949
   0.00001442  0.00000701  0.00000339  0.00000163  0.00000078  0.00000037
   0.00000018  0.00000008  0.00000004  0.00000002  0.00000001  0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]
 [ 0.          0.01597839  0.0143951   0.01388865  0.01382693  0.01396963
   0.01421158  0.01449944  0.01480723  0.01511975  0.01542807  0.01572872
   0.01601874  0.01629723  0.01656216  0.01681463  0.01705302  0.01727765
   0.01748924  0.01768669  0.01787198  0.0180439   0.0182036   0.0183526
   0.01848908  0.018616    0.01873297  0.01883956  0.01893903  0.01902899
   0.0191113   0.01918822  0.01925645  0.01931953  0.01937804  0.01942948
   0.01947772  0.01952137  0.01956002  0.01959697  0.01962912  0.01965786
   0.01968563  0.01970904  0.01973206  0.01975116  0.01977023  0.01978578
   0.01980157  0.01981422  0.0198273   0.01983761  0.01984796  0.01985757
   0.01986461  0.01987309  0.01988004  0.01988595  0.0198918   0.0198966
   0.01990141  0.01990538  0.01990931  0.01991261  0.01991577  0.01991855
   0.01992104  0.01992339  0.01992529  0.01992786  0.01992852  0.0199305
   0.01993252  0.01993202  0.01993464  0.0199339   0.0199361   0.01993542
   0.01993726  0.01993663  0.01993812  0.01993761  0.01993877  0.01993841
   0.01993875  0.01993959  0.0199391   0.01993973  0.01994025  0.01993942
   0.01994074  0.01993996  0.01994115  0.01994045  0.01994154  0.01994097
   0.01994192  0.01994149  0.01994228  0.0199424 ]
 [ 0.          0.00147365  0.00038708  0.00010352  0.00002759  0.0000073
   0.00000197  0.0000005   0.00000013  0.00000003  0.00000001  0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]
 [ 0.          0.00406197  0.00196094  0.00099358  0.00051103  0.00026355
   0.00013579  0.00006943  0.00003529  0.0000178   0.0000089   0.00000442
   0.00000218  0.00000107  0.00000052  0.00000025  0.00000012  0.00000006
   0.00000003  0.00000001  0.00000001  0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]]


##########################################################################################################
Original System 

y1' = 7 y3 + -4.5 y5 + -19.5 y1^2 -9.5 y1 y2 + -10 y1 y5 + -9.75 y1 y3 -9.75 y1 y4
y2' = 9 y4 + -4.5 y5 + -6 y2^2 -9.5 y1 y2 + -10 y3 y2 + -4 y5 y2 -1.75 y2 y4
y3' = 9.75 y1^2 -3.5 y3 + -9.75 y1 y3 + -19.5 y3^2 -10 y3 y2
y4' = 8 y2^2 -4.5 y4 + -9.75 y1 y4 + -1.75 y4 y2
y5' = 9.5 y1 y2 + -4.5 y5 -10 y5 y1 - 4 y5 y2 

this is the multiple run system sans noise with threshold:  0.01 

y1' = -0.007 y1 + 0.238 y2 + 0.287 y3 + -0.410 y4 + 0.401 y1^2 + -20.844 y1 y2 + 2.032 y2^2 + -15.162 y1^3 + 65.874 y1^2 y2 + 12.177 y1 y2^2
y2' = -0.029 y1 + 0.250 y2 + -1.201 y3 + 4.669 y1^2 + -16.046 y1 y2 + -7.729 y2^2 + -6.765 y1^3 + -77.820 y1^2 y2 + 191.498 y1 y2^2 + -19.717 y2^3
y3' = 0.005 y1 + 0.038 y2 + -0.579 y3 + 1.766 y1^2 + -0.877 y1 y2
y4' = -0.036 y2 + 0.935 y2^2
y5' = 0.048 y2

this is the multiple run system with noise with threshold:  0.01 

y1' = 0.067 y1 + 0.344 y2 + -0.514 y3 + 0.162 y4 + -0.382 y1^2 + -40.172 y1 y2 + 8.386 y1 y3 + 6.969 y2^2 + -10.912 y1^3 + 147.872 y1^2 y2
y2' = 0.029 y1 + 0.254 y2 + -0.021 y3 + -1.144 y1^2 + -21.884 y1 y2 + -3.105 y2^2 + 10.453 y1^3 + 135.542 y1^2 y2 + -133.802 y1 y2^2 + 49.796 y2^3
y3' = 0.010 y1 + -0.045 y2 + -0.147 y3 + 0.358 y1^2 + 1.584 y1 y2
y4' = -0.050 y2 + 1.182 y2^2
y5' = 0.050 y2
[0.05565412] [0.07096497]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
   6.          7.          8.          9.         10.         11.
  12.         13.         14.         15.         16.         17.
  18.         19.         20.         21.         22.         23.
  24.         25.         26.         27.         28.         29.
  30.         31.         32.         33.         34.         35.
  36.         37.         38.         39.         40.         41.
  42.         43.         44.         45.         46.         47.
  48.         49.         50.         51.         52.         53.
  54.         55.         56.         57.         58.         59.
  60.         61.         62.         63.         64.         65.
  66.         67.         68.         69.         70.         71.
  72.         73.         74.         75.         76.         77.
  78.         79.         80.         81.         82.         83.
  84.         85.         86.         87.         88.         89.
  90.         91.         92.         93.         94.         95.
  96.         97.         98.         99.        ]
 [ 0.05565412  0.03781801  0.03540171  0.03406507  0.03332243  0.03294759
   0.03281498  0.03284952  0.03300344  0.03324336  0.03355204  0.03391304
   0.03431258  0.03475141  0.0352155   0.03570706  0.03622256  0.03675581
   0.03731462  0.03788776  0.03848349  0.0390974   0.03972737  0.04038136
   0.04104913  0.04173922  0.04244882  0.04317374  0.04392377  0.04468964
   0.04547392  0.0462818   0.04710397  0.04794549  0.04880816  0.04968356
   0.05057592  0.05148699  0.05240823  0.05334048  0.05428796  0.05524263
   0.05620075  0.05716472  0.05813352  0.05909982  0.06006017  0.06101415
   0.06196185  0.06289764  0.06381689  0.06471666  0.06559518  0.06645129
   0.06728348  0.06808837  0.06886339  0.06960673  0.07031721  0.07099407
   0.0716369   0.07224563  0.07282037  0.07336152  0.07386973  0.07434564
   0.07479003  0.07520389  0.07558838  0.07594477  0.07627442  0.07657875
   0.07685919  0.07711719  0.07735416  0.0775715   0.0777706   0.07795273
   0.07811916  0.0782711   0.07840965  0.0785359   0.07865083  0.07875539
   0.07885045  0.0789368   0.07901522  0.0790864   0.07915096  0.07920951
   0.0792626   0.07931073  0.07935434  0.07939388  0.07942974  0.07946222
   0.07949175  0.07951853  0.0795428   0.07956475]
 [ 0.07096497  0.03706824  0.02613358  0.01869727  0.01347396  0.0097403
   0.00704625  0.00509322  0.003674    0.00264088  0.00189329  0.00135222
   0.00096034  0.00068066  0.000479    0.00033583  0.00023449  0.00016204
   0.00011238  0.00007661  0.00005243  0.00003564  0.00002359  0.00001623
   0.00001044  0.00000698  0.00000474  0.0000027   0.00000204  0.00000124
   0.0000006   0.00000061  0.00000025  0.00000008  0.0000002   0.00000003
  -0.00000004  0.00000007  0.00000002 -0.00000006  0.00000001  0.00000002
  -0.00000001 -0.00000002  0.          0.         -0.         -0.
  -0.          0.          0.         -0.         -0.         -0.
  -0.         -0.          0.          0.          0.          0.
  -0.         -0.         -0.         -0.         -0.         -0.
  -0.         -0.         -0.         -0.         -0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]
 [ 0.          0.00404478  0.00359877  0.00335784  0.00323455  0.00317975
   0.00316833  0.00318621  0.0032251   0.00328038  0.0033476   0.00342495
   0.00351213  0.00360539  0.00370716  0.00381495  0.00392887  0.00405055
   0.00417651  0.00431099  0.00445067  0.00459744  0.00475242  0.00491255
   0.00508249  0.00525895  0.00544347  0.00563827  0.00583934  0.00605108
   0.00627261  0.00650169  0.00674271  0.00699332  0.0072525   0.007524
   0.00780539  0.00809518  0.00839681  0.00870891  0.00902814  0.00935713
   0.00969618  0.01004217  0.01039353  0.01075173  0.0111161   0.01148419
   0.01185316  0.01222308  0.01259345  0.01296286  0.0133294   0.01369085
   0.01404538  0.0143923   0.01473077  0.01505977  0.01537827  0.0156853
   0.01598004  0.01626179  0.01653007  0.01678455  0.01702501  0.01725153
   0.01746429  0.01766358  0.01784976  0.01802324  0.0181845   0.01833405
   0.01847245  0.01860027  0.0187181   0.01882655  0.01892619  0.01901762
   0.01910139  0.01917805  0.01924813  0.01931213  0.01937052  0.01942375
   0.01947223  0.01951636  0.01955651  0.01959301  0.01962617  0.01965628
   0.0196836   0.01970838  0.01973086  0.0197512   0.01976962  0.01978629
   0.01980132  0.0198149   0.01982718  0.01983829]
 [ 0.          0.00260132  0.0012974   0.00066479  0.000346    0.00018146
   0.00009524  0.00004963  0.00002568  0.00001363  0.00000692  0.00000347
   0.00000189  0.00000086  0.00000047  0.00000023  0.0000001   0.00000006
   0.00000002  0.00000001  0.00000001  0.          0.          0.
   0.          0.          0.          0.         -0.          0.
   0.         -0.          0.          0.         -0.          0.
   0.         -0.          0.          0.         -0.         -0.
   0.          0.         -0.         -0.          0.          0.
   0.         -0.         -0.          0.          0.          0.
   0.          0.         -0.         -0.         -0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]
 [ 0.          0.00290843  0.00192266  0.00132717  0.00093798  0.00067199
   0.00048498  0.00035105  0.00025428  0.00018496  0.00013364  0.00009615
   0.00006997  0.00004946  0.00003573  0.00002536  0.00001767  0.00001302
   0.00000854  0.00000641  0.00000425  0.00000282  0.00000234  0.00000115
   0.00000113  0.00000066  0.00000028  0.00000057  0.00000008  0.00000012
   0.00000026 -0.00000006  0.00000009  0.00000013 -0.00000007  0.00000005
   0.00000009 -0.00000004  0.          0.00000007 -0.         -0.00000002
   0.00000002  0.00000002 -0.         -0.          0.          0.
   0.         -0.         -0.          0.          0.          0.
   0.          0.         -0.         -0.         -0.         -0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]]


[0.0059417] [0.02291773]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
   6.          7.          8.          9.         10.         11.
  12.         13.         14.         15.         16.         17.
  18.         19.         20.         21.         22.         23.
  24.         25.         26.         27.         28.         29.
  30.         31.         32.         33.         34.         35.
  36.         37.         38.         39.         40.         41.
  42.         43.         44.         45.         46.         47.
  48.         49.         50.         51.         52.         53.
  54.         55.         56.         57.         58.         59.
  60.         61.         62.         63.         64.         65.
  66.         67.         68.         69.         70.         71.
  72.         73.         74.         75.         76.         77.
  78.         79.         80.         81.         82.         83.
  84.         85.         86.         87.         88.         89.
  90.         91.         92.         93.         94.         95.
  96.         97.         98.         99.        ]
 [ 0.0059417   0.0054663   0.00537946  0.00530474  0.00523696  0.00517555
   0.00512013  0.00506948  0.00502325  0.00498103  0.00494226  0.0049071
   0.00487411  0.00484447  0.0048166   0.00479158  0.00476753  0.00474626
   0.00472584  0.00470777  0.00469006  0.00467457  0.00465943  0.00464605
   0.00463319  0.00462168  0.00461073  0.00460017  0.00459123  0.0045823
   0.00457485  0.00456646  0.00456019  0.00455333  0.0045476   0.00454226
   0.00453712  0.00453288  0.00452747  0.00452442  0.00452038  0.00451761
   0.00451471  0.00451129  0.00450934  0.00450618  0.00450499  0.0045028
   0.00450104  0.00450039  0.00449844  0.00449823  0.00449659  0.00449557
   0.00449547  0.00449468  0.00449492  0.00449411  0.00449486  0.00449454
   0.00449437  0.00449556  0.00449457  0.00449578  0.00449632  0.00449602
   0.00449763  0.00449733  0.00449879  0.00449967  0.00449951  0.00450196
   0.00450218  0.00450419  0.00450576  0.00450482  0.0045077   0.00450826
   0.00450949  0.00451159  0.00451251  0.00451469  0.00451564  0.0045178
   0.00451954  0.00452035  0.00452334  0.004524    0.0045259   0.00452851
   0.00452862  0.00453166  0.00453322  0.00453434  0.00453723  0.00453784
   0.00454001  0.00454256  0.00454423  0.00454626]
 [ 0.02291773  0.019941    0.01886002  0.01786187  0.01693334  0.01606032
   0.01524943  0.01448574  0.01376801  0.01309292  0.01245624  0.01185843
   0.01128891  0.01075542  0.0102468   0.00976935  0.00931096  0.00888182
   0.00847024  0.0080838   0.00771147  0.0073621   0.00702597  0.00670921
   0.00640565  0.00611836  0.00584346  0.00557991  0.00533216  0.00509336
   0.00486873  0.00464906  0.00444481  0.00424628  0.00405883  0.00387973
   0.00370805  0.00354558  0.00338603  0.00323924  0.00309547  0.00296061
   0.00283073  0.00270461  0.00258709  0.00247128  0.0023647   0.00226005
   0.0021605   0.00206737  0.00197519  0.00189031  0.00180594  0.00172617
   0.00165146  0.00157842  0.00151027  0.00144296  0.00138118  0.00132003
   0.00126164  0.00120793  0.00115278  0.00110349  0.00105514  0.00100744
   0.00096466  0.00092074  0.00088125  0.00084254  0.0008039   0.00077061
   0.00073555  0.00070443  0.00067401  0.00064142  0.00061528  0.0005872
   0.00056112  0.00053727  0.00051291  0.00049114  0.00046876  0.00044879
   0.00042916  0.00040923  0.00039272  0.00037418  0.00035783  0.000343
   0.00032593  0.00031287  0.00029873  0.00028468  0.00027317  0.00025964
   0.00024836  0.00023798  0.0002271   0.00021705]
 [ 0.          0.00007894  0.00007812  0.0000761   0.00007434  0.00007274
   0.0000713   0.00007     0.00006884  0.00006778  0.00006683  0.00006594
   0.00006518  0.00006443  0.00006379  0.00006316  0.00006264  0.00006211
   0.00006166  0.0000612   0.00006084  0.00006045  0.00006015  0.00005982
   0.00005955  0.00005927  0.00005903  0.00005884  0.00005861  0.00005844
   0.00005822  0.00005813  0.00005794  0.00005783  0.0000577   0.00005757
   0.00005748  0.00005736  0.00005735  0.00005721  0.00005717  0.00005707
   0.000057    0.000057    0.00005691  0.00005694  0.00005684  0.00005684
   0.00005683  0.00005675  0.00005678  0.00005671  0.00005675  0.00005677
   0.00005673  0.00005675  0.00005671  0.00005676  0.0000567   0.00005674
   0.00005677  0.00005671  0.00005683  0.00005679  0.0000568   0.00005689
   0.00005685  0.00005695  0.00005693  0.00005695  0.00005707  0.00005699
   0.00005708  0.00005705  0.00005705  0.00005725  0.00005717  0.00005727
   0.00005731  0.0000573   0.00005738  0.00005737  0.00005746  0.00005746
   0.00005749  0.0000576   0.00005754  0.00005767  0.0000577   0.00005768
   0.00005786  0.00005781  0.00005788  0.00005799  0.00005796  0.00005811
   0.00005814  0.00005815  0.00005822  0.00005827]
 [ 0.          0.00070627  0.00063571  0.00057067  0.00051201  0.00046261
   0.00041567  0.00037522  0.00033918  0.00030683  0.00027809  0.00025107
   0.00022888  0.00020681  0.00018851  0.0001702   0.00015609  0.000141
   0.0001291   0.0001165   0.00010714  0.00009681  0.00008895  0.0000806
   0.00007379  0.0000669   0.0000611   0.00005644  0.00005088  0.00004678
   0.00004189  0.00003941  0.00003522  0.0000327   0.00002968  0.00002696
   0.00002473  0.00002217  0.00002135  0.00001871  0.00001748  0.00001553
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[0.00856987] [0.09215833]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
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[0.05312559] [0.23545052]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
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[0.03745935] [0.11038487]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
   6.          7.          8.          9.         10.         11.
  12.         13.         14.         15.         16.         17.
  18.         19.         20.         21.         22.         23.
  24.         25.         26.         27.         28.         29.
  30.         31.         32.         33.         34.         35.
  36.         37.         38.         39.         40.         41.
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  48.         49.         50.         51.         52.         53.
  54.         55.         56.         57.         58.         59.
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[0.09128508] [0.00817961]
##########################################################################################################
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[0.18920659] [0.16632029]
##########################################################################################################
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[0.03294176] [0.16970869]
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[0.02577497] [0.05370148]
##########################################################################################################
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[0.09096649] [0.07977227]
##########################################################################################################
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   0.07968254  0.0796906   0.07969782  0.0797056   0.0797107   0.0797166
   0.07972309  0.07972557  0.07973174  0.07973609  0.07973741  0.07974318
   0.07974562  0.07974722  0.07975165  0.07975254  0.07975472  0.07975809
   0.07975857  0.0797611   0.07976129  0.07976126]
 [ 0.07977227  0.03295049  0.01977067  0.01202221  0.00733029  0.00445827
   0.00269662  0.00161891  0.00096496  0.00057054  0.00033416  0.00019374
   0.00011138  0.00006348  0.0000358   0.00001998  0.00001105  0.00000606
   0.00000329  0.00000177  0.00000094  0.0000005   0.00000026  0.00000013
   0.00000007  0.00000004  0.00000002  0.00000001  0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]
 [ 0.          0.00902503  0.00807499  0.00770683  0.00761922  0.00768224
   0.00783481  0.00804536  0.00829402  0.0085696   0.00886659  0.00918118
   0.00950759  0.00984358  0.01018989  0.01054462  0.010905    0.01126857
   0.01163614  0.01200673  0.01237858  0.01274886  0.01311584  0.01347899
   0.01383733  0.01418958  0.01453432  0.01486995  0.01519542  0.015509
   0.01581035  0.01609885  0.01637428  0.01663613  0.01688439  0.01711897
   0.0173397   0.01754708  0.01774103  0.01792209  0.01809071  0.01824712
   0.01839222  0.01852625  0.01864988  0.01876393  0.01886857  0.01896475
   0.01905299  0.01913354  0.01920745  0.01927486  0.01933624  0.01939247
   0.01944349  0.01948988  0.01953235  0.0195707   0.01960556  0.01963749
   0.01966613  0.01969228  0.0197162   0.01973745  0.01975712  0.01977496
   0.01979069  0.01980555  0.01981875  0.01983045  0.01984167  0.01985137
   0.01986021  0.01986854  0.01987571  0.01988242  0.0198885   0.01989394
   0.01989878  0.01990334  0.0199075   0.01991058  0.01991442  0.01991718
   0.01991905  0.01992258  0.01992363  0.01992525  0.01992814  0.01992825
   0.01992986  0.01993165  0.01993164  0.01993333  0.0199341   0.01993404
   0.01993538  0.01993545  0.01993665  0.01993785]
 [ 0.          0.00213524  0.00077393  0.00028723  0.00010703  0.00003956
   0.00001456  0.00000548  0.00000194  0.00000065  0.00000022  0.00000008
   0.00000003  0.00000001  0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]
 [ 0.          0.00379524  0.00214475  0.00127352  0.00077149  0.00047069
   0.00028739  0.00017539  0.00010606  0.00006344  0.00003775  0.00002243
   0.00001312  0.00000754  0.00000433  0.00000248  0.0000014   0.00000077
   0.00000042  0.00000023  0.00000013  0.00000007  0.00000004  0.00000002
   0.00000001  0.00000001  0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]]


##########################################################################################################
Original System 

y1' = 7 y3 + -4.5 y5 + -19.5 y1^2 -9.5 y1 y2 + -10 y1 y5 + -9.75 y1 y3 -9.75 y1 y4
y2' = 9 y4 + -4.5 y5 + -6 y2^2 -9.5 y1 y2 + -10 y3 y2 + -4 y5 y2 -1.75 y2 y4
y3' = 9.75 y1^2 -3.5 y3 + -9.75 y1 y3 + -19.5 y3^2 -10 y3 y2
y4' = 8 y2^2 -4.5 y4 + -9.75 y1 y4 + -1.75 y4 y2
y5' = 9.5 y1 y2 + -4.5 y5 -10 y5 y1 - 4 y5 y2 

this is the multiple run system sans noise with threshold:  0.1 

y1' = -0.218 y2
y2' = -0.066 y2 + -4.331 y2^2
y3' = 0.000
y4' = 0.000
y5' = 0.000

this is the multiple run system with noise with threshold:  0.1 

y1' = -0.197 y2
y2' = -0.118 y2 + -3.783 y2^2
y3' = 0.000
y4' = 0.000
y5' = 0.000
[0.13125848] [0.09686713]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
   6.          7.          8.          9.         10.         11.
  12.         13.         14.         15.         16.         17.
  18.         19.         20.         21.         22.         23.
  24.         25.         26.         27.         28.         29.
  30.         31.         32.         33.         34.         35.
  36.         37.         38.         39.         40.         41.
  42.         43.         44.         45.         46.         47.
  48.         49.         50.         51.         52.         53.
  54.         55.         56.         57.         58.         59.
  60.         61.         62.         63.         64.         65.
  66.         67.         68.         69.         70.         71.
  72.         73.         74.         75.         76.         77.
  78.         79.         80.         81.         82.         83.
  84.         85.         86.         87.         88.         89.
  90.         91.         92.         93.         94.         95.
  96.         97.         98.         99.        ]
 [ 0.13125848  0.07074093  0.06610719  0.06441002  0.0639978   0.06421235
   0.06474309  0.06543229  0.06619385  0.06698199  0.06776802  0.06854012
   0.06928729  0.07000795  0.07069748  0.07135475  0.07197979  0.07257068
   0.07312807  0.07365105  0.07414219  0.07460005  0.07502698  0.07542483
   0.07579238  0.07613392  0.07644905  0.07673917  0.07700759  0.07725277
   0.07747871  0.0776864   0.0778748   0.07804871  0.07820718  0.07835082
   0.07848348  0.07860288  0.07871175  0.07881243  0.07890141  0.07898351
   0.07905956  0.07912534  0.07918715  0.07924391  0.07929244  0.07933932
   0.07937948  0.07941804  0.0794516   0.07948124  0.07951066  0.0795343
   0.07955661  0.07957742  0.07959549  0.07961247  0.0796273   0.07964107
   0.0796533   0.07966441  0.07967458  0.07968295  0.07969231  0.079699
   0.07970485  0.07971361  0.07971642  0.07972453  0.07972645  0.07973347
   0.07973484  0.07974085  0.07974192  0.07974692  0.07974783  0.0797519
   0.07975275  0.07975597  0.07975776  0.07975836  0.07976114  0.07976181
   0.07976238  0.07976529  0.07976419  0.07976673  0.07976566  0.07976783
   0.07976674  0.07976851  0.07976752  0.07976888  0.07976805  0.07976898
   0.07976839  0.07976888  0.07976907  0.07976929]
 [ 0.09686713  0.03184862  0.01665011  0.0088351   0.00469365  0.00248298
   0.00130517  0.00068103  0.00035248  0.00018095  0.00009212  0.00004653
   0.00002333  0.00001161  0.00000574  0.00000282  0.00000137  0.00000067
   0.00000032  0.00000015  0.00000007  0.00000003  0.00000002  0.00000001
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]
 [ 0.          0.01509079  0.01329338  0.01269808  0.01259239  0.01271526
   0.01295292  0.01324871  0.01357336  0.01391001  0.01425056  0.01458781
   0.01491951  0.01524152  0.0155531   0.01585279  0.01613925  0.01641271
   0.01667246  0.01691894  0.01715105  0.01737006  0.01757545  0.01776711
   0.01794677  0.01811327  0.01826807  0.01841173  0.0185438   0.0186665
   0.01877899  0.01888209  0.01897768  0.01906441  0.01914401  0.01921733
   0.01928337  0.01934442  0.01939998  0.01944969  0.01949632  0.01953805
   0.01957517  0.01961066  0.01964173  0.01966954  0.01969637  0.01971912
   0.019741    0.01975964  0.01977727  0.01979364  0.01980705  0.01982082
   0.01983279  0.01984327  0.01985317  0.01986178  0.01986986  0.01987696
   0.01988352  0.01988941  0.01989467  0.01989988  0.01990361  0.01990794
   0.01991197  0.01991372  0.01991808  0.01991899  0.01992276  0.01992328
   0.01992646  0.01992674  0.01992937  0.01992954  0.01993167  0.01993182
   0.0199335   0.01993368  0.01993445  0.01993571  0.01993562  0.01993655
   0.0199374   0.01993687  0.01993842  0.01993789  0.01993925  0.01993877
   0.01994     0.0199396   0.01994066  0.01994039  0.01994127  0.01994114
   0.01994181  0.01994185  0.01994203  0.01994216]
 [ 0.          0.00206173  0.0005681   0.00016062  0.00004577  0.00001307
   0.00000366  0.00000099  0.00000026  0.00000007  0.00000002  0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]
 [ 0.          0.00469358  0.00229678  0.00119146  0.00063079  0.00033566
   0.00017816  0.00009389  0.00004912  0.00002549  0.00001314  0.00000672
   0.00000341  0.00000171  0.00000085  0.00000042  0.00000021  0.0000001
   0.00000005  0.00000002  0.00000001  0.00000001  0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]]


[0.01270393] [0.02941718]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
   6.          7.          8.          9.         10.         11.
  12.         13.         14.         15.         16.         17.
  18.         19.         20.         21.         22.         23.
  24.         25.         26.         27.         28.         29.
  30.         31.         32.         33.         34.         35.
  36.         37.         38.         39.         40.         41.
  42.         43.         44.         45.         46.         47.
  48.         49.         50.         51.         52.         53.
  54.         55.         56.         57.         58.         59.
  60.         61.         62.         63.         64.         65.
  66.         67.         68.         69.         70.         71.
  72.         73.         74.         75.         76.         77.
  78.         79.         80.         81.         82.         83.
  84.         85.         86.         87.         88.         89.
  90.         91.         92.         93.         94.         95.
  96.         97.         98.         99.        ]
 [ 0.01270393  0.01113604  0.01085446  0.01063059  0.01044444  0.01028888
   0.01015741  0.01004638  0.00995292  0.00987274  0.00980557  0.00974809
   0.00969972  0.00965901  0.00962457  0.00959638  0.0095727   0.00955406
   0.00953876  0.00952721  0.00951877  0.00951279  0.00950998  0.00950791
   0.0095098   0.00951114  0.00951678  0.00952113  0.00952925  0.00953673
   0.0095461   0.00955676  0.00956714  0.00958043  0.00959143  0.0096065
   0.00961952  0.00963488  0.0096503   0.00966537  0.00968287  0.00969772
   0.00971659  0.00973303  0.00975167  0.00977015  0.00978753  0.00980787
   0.00982532  0.00984642  0.00986524  0.0098857   0.00990643  0.00992507
   0.00994767  0.00996707  0.00998964  0.01001042  0.01003176  0.01005432
   0.01007429  0.01009845  0.01011944  0.01014314  0.01016574  0.01018734
   0.01021177  0.01023334  0.01025853  0.01028098  0.01030546  0.01032965
   0.01035165  0.01037804  0.01040112  0.0104274   0.01045141  0.01047616
   0.01050189  0.01052532  0.01055297  0.01057732  0.01060467  0.01063045
   0.01065509  0.01068296  0.01070832  0.01073705  0.01076248  0.01079063
   0.01081788  0.01084459  0.01087361  0.01089959  0.01092952  0.010957
   0.01098653  0.01101574  0.01104243  0.01107299]
 [ 0.02941718  0.02348975  0.02105243  0.01892224  0.01704715  0.01538721
   0.01390634  0.01258369  0.01140119  0.01033447  0.00937777  0.00851235
   0.00773153  0.00702512  0.00638445  0.00580491  0.00527783  0.00480069
   0.00436604  0.00397161  0.00361311  0.00328652  0.0029907   0.00271913
   0.00247511  0.00224954  0.00204806  0.00186093  0.00169377  0.00153932
   0.00139965  0.00127289  0.00115612  0.00105215  0.00095425  0.00086862
   0.00078801  0.00071634  0.0006507   0.00059015  0.00053688  0.00048563
   0.0004422   0.0004003   0.00036374  0.00033013  0.00029838  0.00027169
   0.00024488  0.0002232   0.00020154  0.00018293  0.00016608  0.00014898
   0.00013628  0.00012222  0.00011165  0.00010062  0.00009085  0.00008276
   0.00007338  0.00006776  0.00006028  0.00005531  0.00004994  0.00004419
   0.00004086  0.0000357   0.00003345  0.0000294   0.00002702  0.00002458
   0.00002067  0.00002004  0.00001711  0.00001654  0.00001439  0.00001279
   0.0000119   0.00000937  0.00000986  0.00000795  0.00000814  0.00000717
   0.00000533  0.00000573  0.00000428  0.00000513  0.00000357  0.00000384
   0.00000337  0.00000243  0.00000301  0.00000133  0.00000232  0.00000147
   0.00000194  0.00000205  0.00000027  0.00000107]
 [ 0.          0.00033168  0.00032178  0.00030979  0.00030004  0.000292
   0.00028541  0.00027995  0.00027535  0.0002716   0.00026839  0.00026578
   0.00026358  0.00026176  0.00026031  0.00025908  0.00025817  0.00025739
   0.00025687  0.00025648  0.00025624  0.00025616  0.0002561   0.00025633
   0.0002564   0.00025685  0.00025702  0.00025763  0.00025797  0.00025861
   0.0002592   0.00025979  0.0002606   0.00026115  0.00026216  0.00026274
   0.00026374  0.00026451  0.00026539  0.00026641  0.00026718  0.00026842
   0.00026916  0.00027034  0.00027126  0.00027228  0.00027353  0.0002744
   0.00027577  0.00027665  0.00027792  0.00027901  0.0002801   0.00028156
   0.00028248  0.00028392  0.00028493  0.00028626  0.00028755  0.00028869
   0.00029028  0.00029126  0.00029278  0.00029391  0.00029526  0.00029681
   0.00029796  0.00029959  0.0003007   0.00030228  0.00030358  0.00030497
   0.00030674  0.00030787  0.00030956  0.00031078  0.00031241  0.00031396
   0.00031539  0.00031724  0.00031846  0.00032024  0.0003216   0.00032324
   0.00032512  0.00032652  0.00032837  0.00032973  0.00033166  0.0003332
   0.00033494  0.00033681  0.00033836  0.00034045  0.00034194  0.00034389
   0.00034555  0.00034732  0.00034956  0.00035121]
 [ 0.          0.00099128  0.00079978  0.00064774  0.00052586  0.00042763
   0.00034993  0.000287    0.00023479  0.00019391  0.00015907  0.00013142
   0.00010833  0.00008937  0.00007406  0.00006102  0.00005068  0.00004171
   0.00003466  0.00002868  0.00002369  0.00001972  0.00001608  0.00001371
   0.00001095  0.00000951  0.00000743  0.00000653  0.00000511  0.00000439
   0.00000362  0.0000029   0.00000256  0.00000189  0.00000184  0.0000013
   0.00000122  0.00000093  0.00000075  0.0000007   0.00000046  0.00000055
   0.00000032  0.00000034  0.00000023  0.00000018  0.00000022  0.0000001
   0.00000017  0.00000007  0.00000009  0.00000006  0.00000003  0.00000009
   0.00000002  0.00000005  0.00000001  0.00000002  0.00000002  0.
   0.00000004  0.          0.00000002  0.          0.          0.00000001
  -0.          0.00000001 -0.          0.00000001  0.         -0.
   0.00000001 -0.          0.         -0.          0.          0.
  -0.          0.         -0.          0.         -0.         -0.
   0.         -0.          0.         -0.          0.         -0.
  -0.          0.         -0.          0.         -0.          0.
  -0.         -0.          0.          0.        ]
 [ 0.          0.00054181  0.00047555  0.00041936  0.00037158  0.00033037
   0.00029525  0.00026463  0.00023728  0.000214    0.00019262  0.00017411
   0.00015738  0.00014239  0.0001292   0.00011696  0.00010636  0.00009633
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[0.07179432] [0.05362119]
##########################################################################################################
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[0.00770013] [0.05691533]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
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[0.05797123] [0.17396817]
##########################################################################################################
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##########################################################################################################
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[0.13672795] [0.26905678]
##########################################################################################################
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   0.01426655  0.01460828  0.01494097  0.01526353  0.01557495  0.01587431
   0.01616087  0.01643408  0.01669352  0.01693896  0.01717044  0.01738813
   0.01759226  0.01778315  0.0179612   0.01812685  0.01828061  0.01842301
   0.01855462  0.01867604  0.01878784  0.01889062  0.01898498  0.01907147
   0.01915066  0.01922308  0.01928923  0.01934961  0.01940467  0.01945483
   0.01950051  0.01954207  0.01957986  0.01961421  0.01964541  0.01967374
   0.01969945  0.01972276  0.01974389  0.01976304  0.01978038  0.01979604
   0.01981022  0.019823    0.01983451  0.01984496]
 [ 0.          0.0129918   0.00533756  0.00246764  0.00120735  0.000608
   0.00031024  0.00015942  0.00008181  0.00004165  0.00002134  0.00001104
   0.00000533  0.00000274  0.00000137  0.00000063  0.00000035  0.00000014
   0.00000008  0.00000004  0.00000001  0.00000001  0.          0.
   0.          0.          0.          0.          0.          0.
  -0.          0.          0.         -0.          0.          0.
  -0.         -0.          0.          0.         -0.          0.
   0.         -0.         -0.          0.          0.          0.
  -0.         -0.          0.          0.          0.          0.
   0.         -0.         -0.         -0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]
 [ 0.          0.00899412  0.00471325  0.00288328  0.00189939  0.0013023
   0.00091309  0.0006486   0.00046373  0.00033235  0.0002387   0.00017175
   0.00012222  0.00008755  0.0000624   0.0000437   0.0000315   0.00002155
   0.00001525  0.00001073  0.00000703  0.00000538  0.00000325  0.00000233
   0.00000175  0.00000085  0.00000092  0.00000045  0.00000021  0.00000043
   0.00000005  0.00000006  0.00000022 -0.00000003  0.00000001  0.00000013
  -0.00000002 -0.00000002  0.00000007  0.00000001 -0.00000002  0.00000001
   0.00000002 -0.         -0.00000001  0.          0.00000001  0.
  -0.         -0.          0.          0.          0.          0.
   0.         -0.         -0.         -0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]]


##########################################################################################################
Original System 

y1' = 7 y3 + -4.5 y5 + -19.5 y1^2 -9.5 y1 y2 + -10 y1 y5 + -9.75 y1 y3 -9.75 y1 y4
y2' = 9 y4 + -4.5 y5 + -6 y2^2 -9.5 y1 y2 + -10 y3 y2 + -4 y5 y2 -1.75 y2 y4
y3' = 9.75 y1^2 -3.5 y3 + -9.75 y1 y3 + -19.5 y3^2 -10 y3 y2
y4' = 8 y2^2 -4.5 y4 + -9.75 y1 y4 + -1.75 y4 y2
y5' = 9.5 y1 y2 + -4.5 y5 -10 y5 y1 - 4 y5 y2 

this is the multiple run system sans noise with threshold:  1 

y1' = 0.000
y2' = 0.000
y3' = 0.000
y4' = 0.000
y5' = 0.000

this is the multiple run system with noise with threshold:  1 

y1' = 0.000
y2' = 0.000
y3' = 0.000
y4' = 0.000
y5' = 0.000
[0.11277834] [0.04893358]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
   6.          7.          8.          9.         10.         11.
  12.         13.         14.         15.         16.         17.
  18.         19.         20.         21.         22.         23.
  24.         25.         26.         27.         28.         29.
  30.         31.         32.         33.         34.         35.
  36.         37.         38.         39.         40.         41.
  42.         43.         44.         45.         46.         47.
  48.         49.         50.         51.         52.         53.
  54.         55.         56.         57.         58.         59.
  60.         61.         62.         63.         64.         65.
  66.         67.         68.         69.         70.         71.
  72.         73.         74.         75.         76.         77.
  78.         79.         80.         81.         82.         83.
  84.         85.         86.         87.         88.         89.
  90.         91.         92.         93.         94.         95.
  96.         97.         98.         99.        ]
 [ 0.11277834  0.06973131  0.06749256  0.06685396  0.06694297  0.06738393
   0.0679902   0.06866921  0.06936801  0.07006322  0.07073955  0.07138912
   0.07200967  0.07259752  0.07315284  0.07367382  0.0741633   0.07461985
   0.07504515  0.07544189  0.07580807  0.0761483   0.0764626   0.07675142
   0.07701889  0.07726323  0.07748814  0.07769527  0.0778827   0.07805587
   0.0782141   0.07835677  0.07848887  0.07860813  0.07871622  0.07881653
   0.07890527  0.0789868   0.07906287  0.07912818  0.07918947  0.07924484
   0.07929481  0.07934053  0.07938137  0.07941896  0.07945226  0.07948315
   0.07951028  0.07953709  0.07955774  0.07957821  0.07959779  0.07961309
   0.07962836  0.07964181  0.07965375  0.07966529  0.07967453  0.07968455
   0.07969149  0.07970042  0.07970542  0.07971354  0.079717    0.07972438
   0.07972679  0.07973154  0.07973749  0.07973741  0.07974326  0.07974724
   0.07974867  0.07975256  0.07975327  0.07975676  0.07975701  0.07976019
   0.07976006  0.07976292  0.07976249  0.07976505  0.0797644   0.07976665
   0.07976655  0.0797664   0.07976912  0.07976762  0.07976773  0.07976841
   0.07976812  0.07976878  0.07976845  0.07976893  0.07976863  0.07976893
   0.07976873  0.07976884  0.07976882  0.07976968]
 [ 0.04893358  0.0180693   0.00929908  0.00480302  0.00247329  0.00126607
   0.00064348  0.00032476  0.00016267  0.00008092  0.00003998  0.00001962
   0.00000957  0.00000464  0.00000224  0.00000107  0.00000051  0.00000024
   0.00000011  0.00000005  0.00000003  0.00000001  0.00000001  0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]
 [ 0.          0.01478974  0.01398036  0.01377779  0.01385407  0.01406326
   0.01433723  0.01463956  0.01495288  0.01526522  0.01557137  0.01586819
   0.01615284  0.01642512  0.01668387  0.01692969  0.01716113  0.01737941
   0.01758431  0.01777528  0.01795444  0.01812045  0.01827458  0.01841788
   0.01854947  0.01867167  0.01878385  0.01888642  0.01898177  0.01906818
   0.01914726  0.0192205   0.01928628  0.01934689  0.01940239  0.01945186
   0.01949823  0.01953991  0.01957668  0.01961212  0.01964319  0.01967151
   0.01969732  0.01972049  0.01974181  0.01976081  0.01977842  0.01979397
   0.0198085   0.01982042  0.01983318  0.01984376  0.01985275  0.0198622
   0.01986996  0.01987718  0.01988382  0.01988943  0.01989515  0.01989941
   0.01990443  0.0199075   0.01991196  0.01991402  0.01991801  0.01991929
   0.01992277  0.01992452  0.01992519  0.01992877  0.01992878  0.01992949
   0.01993133  0.01993156  0.01993331  0.01993333  0.01993493  0.01993478
   0.01993627  0.01993599  0.01993739  0.01993704  0.01993834  0.01993797
   0.0199388   0.01993958  0.01993872  0.01994012  0.01994057  0.01994066
   0.01994124  0.01994127  0.01994179  0.01994183  0.01994228  0.01994237
   0.01994271  0.01994285  0.01994305  0.01994275]
 [ 0.          0.00066908  0.0001794   0.00004797  0.00001264  0.00000332
   0.00000088  0.00000022  0.00000006  0.00000001  0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]
 [ 0.          0.00263453  0.00131454  0.00067393  0.00034772  0.00017922
   0.00009209  0.00004695  0.00002381  0.00001196  0.00000597  0.00000295
   0.00000145  0.00000071  0.00000034  0.00000017  0.00000008  0.00000004
   0.00000002  0.00000001  0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]]


[0.0887656] [0.09726927]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
   6.          7.          8.          9.         10.         11.
  12.         13.         14.         15.         16.         17.
  18.         19.         20.         21.         22.         23.
  24.         25.         26.         27.         28.         29.
  30.         31.         32.         33.         34.         35.
  36.         37.         38.         39.         40.         41.
  42.         43.         44.         45.         46.         47.
  48.         49.         50.         51.         52.         53.
  54.         55.         56.         57.         58.         59.
  60.         61.         62.         63.         64.         65.
  66.         67.         68.         69.         70.         71.
  72.         73.         74.         75.         76.         77.
  78.         79.         80.         81.         82.         83.
  84.         85.         86.         87.         88.         89.
  90.         91.         92.         93.         94.         95.
  96.         97.         98.         99.        ]
 [ 0.0887656   0.05228353  0.04830233  0.04647436  0.04570544  0.04553255
   0.04571973  0.04613583  0.04670604  0.04737985  0.04812413  0.04892246
   0.04976371  0.05063235  0.05152356  0.05243927  0.05336898  0.05430824
   0.05526043  0.0562219   0.05718554  0.05814911  0.05911495  0.06007898
   0.0610348   0.06197946  0.06291134  0.06383054  0.06473271  0.06561361
   0.0664699   0.06729978  0.0681014   0.06887392  0.06961642  0.0703273
   0.07100508  0.07164892  0.07225843  0.07283347  0.07337461  0.07388216
   0.07435712  0.07480038  0.075213    0.07559644  0.07595168  0.07628041
   0.07658397  0.07686353  0.07712102  0.07735745  0.07757425  0.07777318
   0.0779549   0.07812114  0.07827311  0.07841139  0.07853776  0.07865282
   0.07875728  0.07885269  0.0789392   0.0790177   0.07908934  0.07915403
   0.07921279  0.07926633  0.0793145   0.07935832  0.07939819  0.07943391
   0.07946646  0.07949607  0.07952238  0.07954654  0.07956841  0.07958767
   0.07960563  0.07962158  0.07963566  0.07964901  0.07966047  0.07967085
   0.07968065  0.07968887  0.07969655  0.07970361  0.07970972  0.07971526
   0.0797204   0.07972517  0.0797289   0.0797332   0.07973674  0.07973921
   0.0797435   0.07974554  0.07974785  0.079751  ]
 [ 0.09726927  0.04022714  0.02501988  0.01586261  0.01012201  0.00646215
   0.00411256  0.00260345  0.00163897  0.00102426  0.00063463  0.00039014
   0.00023816  0.0001439   0.00008606  0.00005119  0.00003013  0.00001749
   0.0000101   0.0000058   0.00000328  0.00000182  0.00000101  0.00000056
   0.00000031  0.00000016  0.00000009  0.00000005  0.00000002  0.00000001
   0.00000001  0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]
 [ 0.          0.00795301  0.00686699  0.00640739  0.00623868  0.00622343
   0.00629915  0.00643367  0.00660786  0.00681158  0.00703921  0.00728495
   0.00754487  0.00782006  0.00810856  0.00840617  0.00871542  0.00903637
   0.00936523  0.00970178  0.01004752  0.01040136  0.01075969  0.01112206
   0.0114891   0.01185956  0.01223139  0.0126016   0.01296952  0.0133345
   0.01369553  0.01405089  0.01439914  0.01473848  0.01506744  0.01538521
   0.01569121  0.01598485  0.01626561  0.01653316  0.01678706  0.01702731
   0.01725377  0.01746659  0.01766602  0.01785225  0.01802586  0.01818715
   0.01833667  0.01847512  0.01860282  0.01872058  0.01882897  0.01892838
   0.01901972  0.01910332  0.0191797   0.01924969  0.0193134   0.01937151
   0.01942461  0.01947273  0.01951663  0.01955658  0.0195927   0.01962567
   0.01965555  0.01968254  0.0197072   0.01972948  0.01974957  0.019768
   0.01978457  0.0197995   0.01981328  0.01982557  0.01983669  0.01984704
   0.0198561   0.01986446  0.01987222  0.01987889  0.01988526  0.01989102
   0.01989599  0.01990083  0.01990507  0.01990885  0.0199124   0.01991561
   0.01991843  0.01992092  0.01992348  0.01992529  0.01992711  0.01992916
   0.01992989  0.01993155  0.01993279  0.01993333]
 [ 0.          0.00315097  0.00122361  0.00049301  0.00020178  0.00008248
   0.00003363  0.00001375  0.00000533  0.00000205  0.00000083  0.00000033
   0.00000011  0.00000004  0.00000002  0.00000001  0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]
 [ 0.          0.00436724  0.00251222  0.0015375   0.00096791  0.0006167
   0.00039474  0.00025286  0.00016082  0.00010176  0.00006439  0.00004037
   0.00002481  0.00001532  0.00000949  0.00000563  0.00000335  0.00000205
   0.0000012   0.00000067  0.00000039  0.00000024  0.00000013  0.00000007
   0.00000004  0.00000002  0.00000001  0.00000001  0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]]


[0.1375067] [0.10866096]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
   6.          7.          8.          9.         10.         11.
  12.         13.         14.         15.         16.         17.
  18.         19.         20.         21.         22.         23.
  24.         25.         26.         27.         28.         29.
  30.         31.         32.         33.         34.         35.
  36.         37.         38.         39.         40.         41.
  42.         43.         44.         45.         46.         47.
  48.         49.         50.         51.         52.         53.
  54.         55.         56.         57.         58.         59.
  60.         61.         62.         63.         64.         65.
  66.         67.         68.         69.         70.         71.
  72.         73.         74.         75.         76.         77.
  78.         79.         80.         81.         82.         83.
  84.         85.         86.         87.         88.         89.
  90.         91.         92.         93.         94.         95.
  96.         97.         98.         99.        ]
 [ 0.1375067   0.07154158  0.06635145  0.06442389  0.06390405  0.06406547
   0.06457086  0.06524643  0.06600335  0.06678902  0.06757899  0.06835717
   0.06911395  0.06984297  0.07054153  0.07120762  0.07183907  0.07243758
   0.07300059  0.07353142  0.0740284   0.07449266  0.07492756  0.07533005
   0.07570519  0.07605308  0.07637314  0.0766702   0.07694304  0.07719357
   0.07742473  0.07763548  0.07782898  0.07800652  0.07816734  0.07831532
   0.07845019  0.07857176  0.07868444  0.07878554  0.07887702  0.07896278
   0.07903723  0.07910665  0.07917133  0.07922522  0.07927927  0.07932682
   0.07936861  0.07940814  0.07944212  0.07947478  0.07950243  0.07952951
   0.07955015  0.0795736   0.07959353  0.07960876  0.07962622  0.07963926
   0.07965307  0.07966408  0.07967507  0.07968424  0.07969296  0.07970064
   0.07970748  0.07971391  0.07971924  0.0797246   0.07972873  0.07973475
   0.07973636  0.07973983  0.079744    0.07974506  0.07974792  0.07974963
   0.07975144  0.07975334  0.07975433  0.07975643  0.07975664  0.07975906
   0.07975858  0.07976138  0.07976034  0.07976342  0.07976209  0.0797634
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[0.06394033] [0.02219132]
##########################################################################################################
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[0.10324552] [0.0068728]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
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[0.07530117] [0.1521982]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
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[0.03379789] [0.1274974]
##########################################################################################################
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[0.06862277] [0.01322247]
##########################################################################################################
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   0.00000046  0.00000017  0.00000006  0.00000002  0.00000001  0.
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   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]
 [ 0.          0.00072543  0.00043684  0.0002636   0.00015903  0.0000946
   0.00005575  0.00003285  0.00001916  0.00001103  0.00000628  0.00000354
   0.00000201  0.00000111  0.0000006   0.00000033  0.00000018  0.00000009
   0.00000005  0.00000003  0.00000001  0.00000001  0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]]


[0.01118126] [0.02891018]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
   6.          7.          8.          9.         10.         11.
  12.         13.         14.         15.         16.         17.
  18.         19.         20.         21.         22.         23.
  24.         25.         26.         27.         28.         29.
  30.         31.         32.         33.         34.         35.
  36.         37.         38.         39.         40.         41.
  42.         43.         44.         45.         46.         47.
  48.         49.         50.         51.         52.         53.
  54.         55.         56.         57.         58.         59.
  60.         61.         62.         63.         64.         65.
  66.         67.         68.         69.         70.         71.
  72.         73.         74.         75.         76.         77.
  78.         79.         80.         81.         82.         83.
  84.         85.         86.         87.         88.         89.
  90.         91.         92.         93.         94.         95.
  96.         97.         98.         99.        ]
 [ 0.01118126  0.0098828   0.00964267  0.00944824  0.00928397  0.00914412
   0.00902397  0.00892132  0.00883259  0.00875567  0.00868973  0.00863164
   0.00858244  0.00853872  0.0085019   0.00846904  0.00844191  0.00841759
   0.00839801  0.00837999  0.0083666   0.00835389  0.00834541  0.00833678
   0.00833207  0.00832726  0.00832522  0.00832391  0.00832378  0.00832555
   0.00832645  0.00833097  0.00833374  0.00833974  0.00834452  0.00835084
   0.00835799  0.0083642   0.00837361  0.00838054  0.00839072  0.00839925
   0.00840865  0.00841936  0.0084285   0.00844082  0.00845022  0.00846251
   0.00847372  0.00848448  0.0084979   0.00850866  0.00852269  0.0085342
   0.00854706  0.00856047  0.00857217  0.0085873   0.00859924  0.00861404
   0.00862756  0.00864     0.00865557  0.0086683   0.00868415  0.00869763
   0.00871219  0.00872734  0.00874     0.0087568   0.00877062  0.00878672
   0.00880213  0.0088155   0.00883239  0.00884629  0.00886289  0.00887832
   0.00889415  0.00891097  0.00892426  0.00894209  0.00895737  0.00897401
   0.00899124  0.00900597  0.00902383  0.00903882  0.00905637  0.00907292
   0.00908845  0.00910712  0.00912302  0.00914099  0.0091578   0.00917562
   0.00919333  0.00920982  0.00922912  0.00924534]
 [ 0.02891018  0.02346406  0.02127736  0.01934476  0.01762576  0.0160854
   0.01469731  0.01344816  0.0123159   0.01128743  0.01035522  0.00950165
   0.00872766  0.00801607  0.0073689   0.00677247  0.00622966  0.00572841
   0.0052716   0.00484812  0.00446339  0.00410561  0.00378086  0.00347777
   0.00320291  0.0029468   0.00271326  0.00249727  0.00229829  0.00211629
   0.00194585  0.00179277  0.00164815  0.00151826  0.00139611  0.00128469
   0.00118237  0.00108633  0.00100098  0.00091905  0.00084668  0.00077785
   0.00071495  0.00065805  0.00060372  0.00055654  0.00051003  0.00046969
   0.00043133  0.00039537  0.00036449  0.00033353  0.00030774  0.00028168
   0.00025868  0.00023788  0.00021714  0.00020081  0.00018306  0.00016895
   0.00015486  0.0001409   0.00013046  0.00011853  0.00010993  0.00010012
   0.00009183  0.00008461  0.00007594  0.00007106  0.00006427  0.00005968
   0.00005491  0.00004889  0.0000459   0.00004088  0.00003818  0.00003481
   0.00003194  0.00002999  0.00002551  0.00002463  0.00002193  0.00002036
   0.00001933  0.00001649  0.00001608  0.00001356  0.00001301  0.00001175
   0.00000973  0.00001011  0.0000084   0.00000826  0.00000724  0.00000697
   0.0000066   0.0000053   0.00000607  0.00000451]
 [ 0.          0.00026019  0.00025295  0.0002437   0.00023602  0.00022959
   0.00022423  0.00021966  0.00021579  0.00021253  0.00020969  0.00020735
   0.00020525  0.00020356  0.00020202  0.00020082  0.00019969  0.00019886
   0.00019804  0.00019753  0.00019694  0.00019665  0.00019624  0.00019616
   0.00019591  0.00019593  0.00019587  0.00019593  0.00019605  0.00019613
   0.00019648  0.00019653  0.00019695  0.00019709  0.00019751  0.00019784
   0.00019818  0.00019872  0.00019895  0.00019958  0.00019987  0.00020044
   0.00020097  0.00020139  0.00020207  0.0002024   0.00020315  0.00020358
   0.00020419  0.00020491  0.00020532  0.00020612  0.00020652  0.00020729
   0.00020792  0.0002085   0.00020935  0.00020976  0.00021063  0.00021115
   0.00021186  0.00021275  0.00021323  0.00021413  0.00021463  0.00021547
   0.00021619  0.00021684  0.00021786  0.00021834  0.00021924  0.00021986
   0.00022058  0.00022161  0.00022217  0.00022317  0.00022381  0.00022464
   0.00022542  0.00022609  0.00022727  0.00022784  0.00022878  0.00022955
   0.00023026  0.00023134  0.000232    0.00023308  0.00023382  0.00023472
   0.00023578  0.00023642  0.00023748  0.00023826  0.00023922  0.00024006
   0.00024094  0.00024201  0.0002427   0.00024385]
 [ 0.          0.00098646  0.00081507  0.00067525  0.00056011  0.00046629
   0.00039034  0.0003262   0.0002737   0.00023046  0.00019322  0.00016375
   0.00013721  0.00011657  0.00009782  0.00008341  0.00006991  0.00005968
   0.00004995  0.00004303  0.00003578  0.00003094  0.00002555  0.00002229
   0.00001838  0.00001595  0.0000133   0.00001131  0.00000966  0.00000796
   0.0000072   0.00000567  0.00000516  0.00000405  0.0000036   0.00000303
   0.00000248  0.00000234  0.0000017   0.00000169  0.00000121  0.00000113
   0.000001    0.00000075  0.00000078  0.00000047  0.00000056  0.00000037
   0.00000034  0.00000037  0.0000002   0.00000027  0.00000012  0.00000017
   0.00000014  0.00000009  0.00000015  0.00000004  0.0000001   0.00000003
   0.00000003  0.00000008  0.00000002  0.00000006  0.          0.00000002
   0.00000002  0.          0.00000004  0.          0.00000002  0.
  -0.00000001  0.00000002 -0.          0.00000002  0.          0.
   0.         -0.00000001  0.00000001 -0.          0.          0.
  -0.          0.         -0.          0.          0.          0.
   0.00000001 -0.          0.          0.          0.         -0.
  -0.          0.         -0.          0.        ]
 [ 0.          0.00048011  0.00042692  0.00038094  0.00034123  0.00030686
   0.00027729  0.00025075  0.00022752  0.00020709  0.00018828  0.00017225
   0.00015683  0.00014388  0.00013128  0.00012079  0.00011027  0.00010162
   0.00009277  0.00008593  0.00007826  0.00007267  0.000066    0.00006156
   0.0000559   0.00005202  0.00004751  0.00004381  0.00004048  0.00003681
   0.00003489  0.00003109  0.00002957  0.00002632  0.00002478  0.00002273
   0.00002066  0.0000199   0.0000172   0.00001692  0.00001458  0.00001394
   0.00001303  0.00001146  0.00001145  0.00000932  0.00000971  0.00000816
   0.0000077   0.00000783  0.00000614  0.0000067   0.00000496  0.00000534
   0.00000485  0.00000412  0.00000484  0.00000311  0.00000394  0.00000274
   0.00000264  0.00000348  0.00000206  0.00000291  0.00000151  0.000002
   0.00000179  0.00000122  0.00000263  0.000001    0.00000171  0.00000079
   0.00000048  0.00000178  0.00000052  0.00000159  0.00000071  0.00000078
   0.00000062 -0.00000019  0.00000171  0.00000029  0.00000085  0.00000047
  -0.00000028  0.0000009  -0.00000017  0.00000097  0.00000026  0.00000037
   0.00000132 -0.          0.00000082  0.00000017  0.00000044  0.00000004
  -0.0000002   0.00000053 -0.00000074  0.00000034]]


[0.04381001] [0.29736758]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
   6.          7.          8.          9.         10.         11.
  12.         13.         14.         15.         16.         17.
  18.         19.         20.         21.         22.         23.
  24.         25.         26.         27.         28.         29.
  30.         31.         32.         33.         34.         35.
  36.         37.         38.         39.         40.         41.
  42.         43.         44.         45.         46.         47.
  48.         49.         50.         51.         52.         53.
  54.         55.         56.         57.         58.         59.
  60.         61.         62.         63.         64.         65.
  66.         67.         68.         69.         70.         71.
  72.         73.         74.         75.         76.         77.
  78.         79.         80.         81.         82.         83.
  84.         85.         86.         87.         88.         89.
  90.         91.         92.         93.         94.         95.
  96.         97.         98.         99.        ]
 [ 0.04381001  0.01806652  0.01287438  0.01005687  0.00830005  0.00710425
   0.00623941  0.00558522  0.00507373  0.0046628   0.00432548  0.0040437
   0.00380482  0.00359976  0.00342182  0.00326595  0.00312827  0.00300576
   0.00289609  0.00279744  0.00270816  0.00262691  0.00255268  0.00248476
   0.00242227  0.00236449  0.00231109  0.00226159  0.00221539  0.00217237
   0.00213223  0.00209448  0.00205917  0.00202597  0.00199458  0.00196516
   0.00193722  0.00191083  0.0018859   0.0018621   0.0018397   0.00181823
   0.0017979   0.00177851  0.00175996  0.00174239  0.00172542  0.0017094
   0.00169387  0.00167918  0.00166497  0.00165142  0.00163838  0.00162585
   0.00161387  0.00160224  0.0015912   0.0015804   0.0015702   0.00156015
   0.0015507   0.00154134  0.00153256  0.00152383  0.00151565  0.0015075
   0.00149988  0.00149224  0.00148513  0.00147797  0.00147132  0.0014646
   0.00145837  0.00145207  0.00144622  0.00144029  0.00143479  0.00142923
   0.00142403  0.00141882  0.00141389  0.00140901  0.00140432  0.00139977
   0.00139529  0.00139104  0.00138674  0.00138279  0.00137867  0.00137498
   0.00137105  0.00136756  0.00136387  0.00136052  0.00135708  0.00135383
   0.00135065  0.00134747  0.00134455  0.00134143]
 [ 0.29736758  0.1314192   0.10808627  0.09301935  0.08231069  0.07422119
   0.06784444  0.06265079  0.05832562  0.05464905  0.05147468  0.04869946
   0.04624716  0.04406014  0.04209397  0.04031367  0.03869118  0.03720415
   0.03583566  0.03457321  0.03340189  0.0323089   0.03128647  0.03033197
   0.02943478  0.02858649  0.02778771  0.02703378  0.02631528  0.0256347
   0.02498904  0.02436962  0.02378191  0.02321987  0.02267876  0.02216519
   0.02166865  0.02119297  0.02073716  0.02029452  0.01987323  0.01946257
   0.01906908  0.01868829  0.01831868  0.01796446  0.017617    0.01728569
   0.01695953  0.01664757  0.01634152  0.0160464   0.01575882  0.01547894
   0.01520813  0.01494232  0.01468665  0.01443395  0.01419195  0.01395151
   0.01372191  0.01349292  0.01327461  0.0130563   0.01284838  0.01264001
   0.01244169  0.01224257  0.01205316  0.01186266  0.01168153  0.01149912
   0.01132567  0.01115089  0.01098455  0.01081703  0.01065722  0.01049667
   0.0103428   0.010189    0.01004051  0.00989328  0.00974965  0.00960877
   0.00946957  0.00933481  0.00919975  0.00907075  0.00893975  0.00881599
   0.00868937  0.00856997  0.00844816  0.00833221  0.00821551  0.00810231
   0.00799083  0.00787999  0.00777355  0.00766512]
 [ 0.          0.0008292   0.00041592  0.00025255  0.00017206  0.00012633
   0.00009772  0.00007857  0.00006505  0.00005511  0.00004757  0.0000417
   0.00003702  0.00003322  0.00003009  0.00002748  0.00002527  0.00002338
   0.00002175  0.00002033  0.00001908  0.00001799  0.00001702  0.00001615
   0.00001536  0.00001466  0.00001403  0.00001345  0.00001292  0.00001244
   0.000012    0.00001159  0.00001122  0.00001087  0.00001055  0.00001025
   0.00000997  0.00000971  0.00000946  0.00000924  0.00000902  0.00000882
   0.00000863  0.00000845  0.00000828  0.00000812  0.00000797  0.00000783
   0.0000077   0.00000756  0.00000744  0.00000733  0.00000722  0.00000711
   0.00000701  0.00000691  0.00000682  0.00000674  0.00000665  0.00000657
   0.00000649  0.00000642  0.00000635  0.00000628  0.00000621  0.00000615
   0.00000609  0.00000604  0.00000598  0.00000593  0.00000587  0.00000582
   0.00000577  0.00000573  0.00000568  0.00000564  0.0000056   0.00000556
   0.00000552  0.00000548  0.00000544  0.00000541  0.00000537  0.00000534
   0.00000531  0.00000528  0.00000525  0.00000522  0.00000519  0.00000516
   0.00000514  0.00000511  0.00000509  0.00000506  0.00000504  0.00000502
   0.00000499  0.00000497  0.00000495  0.00000493]
 [ 0.          0.03112087  0.02089987  0.01541895  0.01204676  0.00978117
   0.00816357  0.00695909  0.0060275   0.00528956  0.00469233  0.00419979
   0.00378723  0.00343717  0.00313685  0.00287689  0.00265025  0.00245135
   0.00227519  0.00211704  0.00197525  0.00184867  0.00173484  0.00162979
   0.00153421  0.00144834  0.00136857  0.0012943   0.00122758  0.001165
   0.00110608  0.00105333  0.00100255  0.00095534  0.00091277  0.00087054
   0.00083277  0.00079673  0.00076208  0.00073135  0.00069991  0.00067235
   0.00064496  0.00061938  0.00059588  0.00057201  0.00055155  0.0005296
   0.00051111  0.00049143  0.00047426  0.00045691  0.00044077  0.00042552
   0.00041029  0.00039684  0.0003825   0.00037055  0.00035709  0.00034638
   0.0003338   0.00032411  0.00031237  0.00030358  0.00029263  0.00028461
   0.00027439  0.00026706  0.00025752  0.00025081  0.00024188  0.00023572
   0.00022737  0.00022167  0.0002139   0.00020857  0.0002014   0.00019633
   0.00018979  0.00018486  0.00017901  0.00017411  0.000169    0.00016404
   0.00015969  0.00015462  0.00015101  0.00014583  0.00014284  0.00013766
   0.00013501  0.00013012  0.00012747  0.00012316  0.00012026  0.00011676
   0.00011345  0.00011082  0.00010709  0.00010521]
 [ 0.          0.00494981  0.00287269  0.00192346  0.00140254  0.00108191
   0.00086843  0.00071828  0.00060762  0.00052346  0.00045768  0.00040507
   0.00036217  0.00032663  0.00029677  0.00027141  0.00024966  0.00023084
   0.00021441  0.00019985  0.00018694  0.00017551  0.00016531  0.000156
   0.00014759  0.00014006  0.00013312  0.00012669  0.00012093  0.00011556
   0.00011052  0.00010601  0.00010169  0.00009768  0.00009406  0.00009049
   0.00008728  0.00008423  0.0000813   0.0000787   0.00007604  0.0000737
   0.00007138  0.0000692   0.0000672   0.00006517  0.00006342  0.00006154
   0.00005995  0.00005825  0.00005677  0.00005527  0.00005386  0.00005254
   0.0000512   0.00005002  0.00004875  0.0000477   0.00004649  0.00004554
   0.0000444   0.00004354  0.00004246  0.00004167  0.00004065  0.00003992
   0.00003896  0.00003829  0.00003738  0.00003676  0.0000359   0.00003533
   0.0000345   0.00003397  0.00003319  0.00003269  0.00003196  0.00003147
   0.0000308   0.00003032  0.00002971  0.00002922  0.00002869  0.00002817
   0.00002772  0.00002717  0.00002681  0.00002623  0.00002594  0.00002534
   0.00002508  0.00002451  0.00002424  0.00002373  0.00002342  0.00002301
   0.00002262  0.00002233  0.00002187  0.00002168]]


##########################################################################################################
Original System 

y1' = 7 y3 + -4.5 y5 + -19.5 y1^2 -9.5 y1 y2 + -10 y1 y5 + -9.75 y1 y3 -9.75 y1 y4
y2' = 9 y4 + -4.5 y5 + -6 y2^2 -9.5 y1 y2 + -10 y3 y2 + -4 y5 y2 -1.75 y2 y4
y3' = 9.75 y1^2 -3.5 y3 + -9.75 y1 y3 + -19.5 y3^2 -10 y3 y2
y4' = 8 y2^2 -4.5 y4 + -9.75 y1 y4 + -1.75 y4 y2
y5' = 9.5 y1 y2 + -4.5 y5 -10 y5 y1 - 4 y5 y2 

this is the multiple run system sans noise with threshold:  10 

y1' = 0.000
y2' = 0.000
y3' = 0.000
y4' = 0.000
y5' = 0.000

this is the multiple run system with noise with threshold:  10 

y1' = 0.000
y2' = 0.000
y3' = 0.000
y4' = 0.000
y5' = 0.000
[0.04808126] [0.03761641]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
   6.          7.          8.          9.         10.         11.
  12.         13.         14.         15.         16.         17.
  18.         19.         20.         21.         22.         23.
  24.         25.         26.         27.         28.         29.
  30.         31.         32.         33.         34.         35.
  36.         37.         38.         39.         40.         41.
  42.         43.         44.         45.         46.         47.
  48.         49.         50.         51.         52.         53.
  54.         55.         56.         57.         58.         59.
  60.         61.         62.         63.         64.         65.
  66.         67.         68.         69.         70.         71.
  72.         73.         74.         75.         76.         77.
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[0.01648621] [0.16575993]
##########################################################################################################
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[0.21313305] [0.03174929]
##########################################################################################################
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[0.14262894] [0.14567346]
##########################################################################################################
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[0.02208199] [0.1795369]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
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[0.00233236] [0.03733031]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
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[0.06952735] [0.12582317]
##########################################################################################################
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[0.17815521] [0.12152467]
##########################################################################################################
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 [ 0.          0.00562691  0.00242673  0.00112543  0.00053421  0.00025547
   0.00012232  0.00005845  0.0000278   0.00001319  0.00000623  0.00000293
   0.00000137  0.00000064  0.0000003   0.00000014  0.00000006  0.00000003
   0.00000001  0.00000001  0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]]


[0.01289632] [0.17471609]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
   6.          7.          8.          9.         10.         11.
  12.         13.         14.         15.         16.         17.
  18.         19.         20.         21.         22.         23.
  24.         25.         26.         27.         28.         29.
  30.         31.         32.         33.         34.         35.
  36.         37.         38.         39.         40.         41.
  42.         43.         44.         45.         46.         47.
  48.         49.         50.         51.         52.         53.
  54.         55.         56.         57.         58.         59.
  60.         61.         62.         63.         64.         65.
  66.         67.         68.         69.         70.         71.
  72.         73.         74.         75.         76.         77.
  78.         79.         80.         81.         82.         83.
  84.         85.         86.         87.         88.         89.
  90.         91.         92.         93.         94.         95.
  96.         97.         98.         99.        ]
 [ 0.01289632  0.0077192   0.00614584  0.00509555  0.00434716  0.00378845
   0.0033565   0.00301296  0.00273349  0.00250194  0.0023071   0.00214095
   0.00199763  0.00187278  0.00176308  0.00166595  0.00157936  0.00150171
   0.00143166  0.00136815  0.0013103   0.00125741  0.00120891  0.00116424
   0.00112293  0.00108463  0.00104906  0.00101595  0.00098499  0.00095598
   0.00092882  0.00090328  0.0008792   0.00085649  0.00083507  0.00081476
   0.0007955   0.00077727  0.00075991  0.00074336  0.00072765  0.00071264
   0.00069828  0.0006846   0.00067147  0.00065889  0.00064688  0.0006353
   0.0006242   0.00061355  0.00060326  0.0005934   0.00058389  0.00057469
   0.00056586  0.0005573   0.00054905  0.00054109  0.00053335  0.00052591
   0.00051867  0.00051167  0.0005049   0.0004983   0.00049194  0.00048573
   0.00047972  0.00047389  0.00046819  0.00046269  0.0004573   0.00045209
   0.00044701  0.00044205  0.00043724  0.00043252  0.00042796  0.00042347
   0.00041913  0.00041488  0.00041072  0.00040668  0.0004027   0.00039886
   0.00039506  0.00039139  0.00038777  0.00038425  0.0003808   0.00037741
   0.00037412  0.00037086  0.00036772  0.00036459  0.00036157  0.00035858
   0.00035567  0.0003528   0.00035     0.00034724]
 [ 0.17471609  0.10530726  0.09414034  0.08572082  0.07908779  0.07369207
   0.06920189  0.06538808  0.06209745  0.05922404  0.0566882   0.05442879
   0.05239927  0.05056358  0.04889324  0.0473657   0.04596225  0.04466699
   0.04346625  0.04234844  0.04130424  0.0403271   0.0394127   0.03855284
   0.03774022  0.03697063  0.03624416  0.03555685  0.03490148  0.03427576
   0.03368269  0.03311697  0.03257299  0.03205304  0.031558    0.03108011
   0.03061986  0.03018167  0.02975749  0.02934681  0.02895545  0.02857535
   0.02820629  0.02785423  0.02751059  0.02717713  0.0268582   0.02654505
   0.02624273  0.0259515   0.02566437  0.02538955  0.02512122  0.02485773
   0.02460615  0.02435701  0.02411619  0.02388282  0.0236513   0.0234307
   0.02321178  0.02299906  0.02279325  0.022588    0.02239271  0.02219778
   0.02200895  0.02182508  0.02164184  0.02146745  0.02129181  0.02112368
   0.02095718  0.02079335  0.02063561  0.0204765   0.0203258   0.02017325
   0.02002704  0.01988196  0.01973902  0.01960111  0.01946166  0.01932977
   0.01919502  0.01906736  0.0189384   0.01881352  0.01869052  0.01856806
   0.01845059  0.01833084  0.01821807  0.0181018   0.01799254  0.0178806
   0.01777373  0.01766637  0.0175614   0.01745753]
 [ 0.          0.00014505  0.00009266  0.0000638   0.00004655  0.00003546
   0.00002792  0.00002256  0.00001862  0.00001564  0.00001334  0.00001151
   0.00001005  0.00000885  0.00000786  0.00000703  0.00000633  0.00000573
   0.00000522  0.00000477  0.00000439  0.00000404  0.00000374  0.00000348
   0.00000324  0.00000302  0.00000283  0.00000266  0.0000025   0.00000236
   0.00000223  0.00000211  0.000002    0.0000019   0.00000181  0.00000172
   0.00000164  0.00000157  0.0000015   0.00000144  0.00000138  0.00000132
   0.00000127  0.00000122  0.00000118  0.00000114  0.00000109  0.00000106
   0.00000102  0.00000099  0.00000095  0.00000092  0.00000089  0.00000087
   0.00000084  0.00000082  0.00000079  0.00000077  0.00000075  0.00000073
   0.00000071  0.00000069  0.00000067  0.00000066  0.00000064  0.00000062
   0.00000061  0.00000059  0.00000058  0.00000057  0.00000055  0.00000054
   0.00000053  0.00000052  0.00000051  0.0000005   0.00000049  0.00000048
   0.00000047  0.00000046  0.00000045  0.00000044  0.00000043  0.00000042
   0.00000041  0.00000041  0.0000004   0.00000039  0.00000039  0.00000038
   0.00000037  0.00000037  0.00000036  0.00000035  0.00000035  0.00000034
   0.00000034  0.00000033  0.00000033  0.00000032]
 [ 0.          0.01966545  0.01568763  0.0129887   0.01104613  0.00958631
   0.00844877  0.00754085  0.00680093  0.00618604  0.00566714  0.00522403
   0.00484169  0.00450864  0.00421602  0.00395675  0.00372538  0.00351777
   0.00333082  0.00316202  0.00300909  0.00286941  0.00274013  0.00262103
   0.00251206  0.00241207  0.00231822  0.00223002  0.00214888  0.00207404
   0.00200228  0.00193472  0.0018728   0.00181416  0.00175724  0.00170494
   0.0016561   0.00160769  0.001563    0.0015216   0.00147995  0.00144151
   0.00140588  0.00136959  0.00133647  0.00130526  0.00127338  0.00124488
   0.00121688  0.00118896  0.00116434  0.00113863  0.00111452  0.00109259
   0.0010691   0.00104857  0.00102789  0.00100731  0.00098945  0.00096964
   0.00095234  0.00093516  0.00091761  0.00090273  0.00088572  0.00087126
   0.00085637  0.00084154  0.00082882  0.00081402  0.00080211  0.00078862
   0.00077641  0.0007649   0.0007523   0.00074228  0.00072989  0.00072018
   0.00070902  0.00069895  0.00068942  0.00067891  0.00067069  0.00066014
   0.00065244  0.00064256  0.00063467  0.00062602  0.0006177   0.00061032
   0.00060163  0.00059523  0.00058646  0.00058053  0.00057215  0.00056615
   0.00055861  0.00055229  0.00054572  0.00053954]
 [ 0.          0.0016705   0.00118726  0.00089524  0.0007043   0.00057197
   0.00047586  0.00040371  0.00034801  0.00030395  0.00026838  0.00023922
   0.00021498  0.00019457  0.00017721  0.00016228  0.00014932  0.00013801
   0.00012807  0.00011928  0.00011149  0.00010452  0.00009822  0.00009253
   0.00008739  0.00008275  0.00007848  0.00007455  0.00007097  0.0000677
   0.00006464  0.00006179  0.0000592   0.00005678  0.00005448  0.00005237
   0.00005041  0.00004853  0.00004679  0.00004518  0.00004361  0.00004216
   0.00004081  0.00003949  0.00003827  0.00003712  0.00003599  0.00003496
   0.00003397  0.000033    0.00003212  0.00003125  0.00003042  0.00002966
   0.00002888  0.00002818  0.00002749  0.00002681  0.00002621  0.00002557
   0.000025    0.00002445  0.00002389  0.0000234   0.00002287  0.00002241
   0.00002194  0.00002148  0.00002108  0.00002063  0.00002025  0.00001985
   0.00001948  0.00001912  0.00001875  0.00001844  0.00001808  0.00001778
   0.00001746  0.00001716  0.00001688  0.00001658  0.00001633  0.00001603
   0.0000158   0.00001553  0.00001529  0.00001505  0.00001482  0.0000146
   0.00001436  0.00001417  0.00001394  0.00001376  0.00001354  0.00001337
   0.00001316  0.00001299  0.00001281  0.00001264]]


[0.05489012] [0.07970175]
##########################################################################################################
states [[ 0.          1.          2.          3.          4.          5.
   6.          7.          8.          9.         10.         11.
  12.         13.         14.         15.         16.         17.
  18.         19.         20.         21.         22.         23.
  24.         25.         26.         27.         28.         29.
  30.         31.         32.         33.         34.         35.
  36.         37.         38.         39.         40.         41.
  42.         43.         44.         45.         46.         47.
  48.         49.         50.         51.         52.         53.
  54.         55.         56.         57.         58.         59.
  60.         61.         62.         63.         64.         65.
  66.         67.         68.         69.         70.         71.
  72.         73.         74.         75.         76.         77.
  78.         79.         80.         81.         82.         83.
  84.         85.         86.         87.         88.         89.
  90.         91.         92.         93.         94.         95.
  96.         97.         98.         99.        ]
 [ 0.05489012  0.03661442  0.03392055  0.03239431  0.03150406  0.03100429
   0.03075932  0.03068906  0.03074277  0.03088952  0.03110543  0.03137257
   0.03168634  0.03203162  0.03240744  0.03280915  0.03322978  0.03367528
   0.03413413  0.03461547  0.03511078  0.03562357  0.03615475  0.03669853
   0.03726471  0.03784275  0.03844162  0.03905737  0.03968842  0.04034276
   0.04101038  0.04170024  0.04240913  0.04313335  0.04388259  0.04464741
   0.04543087  0.04623776  0.04705883  0.04789958  0.04876126  0.04963561
   0.05052735  0.05143761  0.05235795  0.05328975  0.05423678  0.05519086
   0.05614861  0.05711265  0.05808143  0.05904766  0.06000815  0.06096275
   0.0619112   0.06284766  0.06376762  0.06466831  0.065548    0.0664057
   0.06723948  0.06804592  0.06882248  0.06956742  0.07027955  0.07095812
   0.07160275  0.0722133   0.07278994  0.07333302  0.07384317  0.07432092
   0.07476706  0.07518258  0.07556864  0.07592653  0.07625759  0.07656325
   0.07684494  0.0771041   0.07734217  0.07756054  0.07776058  0.0779436
   0.07811085  0.07826354  0.0784028   0.07852968  0.07864521  0.07875031
   0.07884585  0.07893267  0.07901149  0.07908303  0.07914792  0.07920677
   0.07926012  0.07930846  0.07935228  0.07939306]
 [ 0.07970175  0.04142163  0.02959188  0.02151118  0.01578052  0.01163186
   0.00858977  0.00634355  0.00467863  0.00344595  0.00253146  0.00185242
   0.00135324  0.0009835   0.00071254  0.00051444  0.00036884  0.00026457
   0.0001876   0.00013345  0.00009385  0.00006574  0.0000462   0.00003147
   0.00002228  0.00001484  0.00001031  0.00000708  0.00000438  0.00000337
   0.00000188  0.00000135  0.00000103  0.0000003   0.00000049  0.00000023
  -0.00000003  0.00000022 -0.00000001 -0.00000007  0.00000011 -0.00000003
  -0.00000007  0.00000005 -0.         -0.00000006  0.00000001  0.00000002
  -0.00000002 -0.00000002  0.          0.         -0.         -0.
  -0.          0.          0.         -0.         -0.         -0.
  -0.          0.          0.          0.          0.         -0.
  -0.         -0.         -0.         -0.         -0.         -0.
  -0.         -0.         -0.         -0.         -0.         -0.
  -0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]
 [ 0.          0.00376486  0.00327965  0.00301438  0.00287086  0.00279684
   0.0027662   0.00276451  0.00278337  0.00281702  0.00286231  0.00291769
   0.0029797   0.00304948  0.00312484  0.00320544  0.00329241  0.00338271
   0.00347994  0.00358041  0.00368712  0.00379877  0.00391512  0.00403865
   0.00416575  0.00430097  0.00444107  0.00458804  0.004743    0.00490303
   0.00507277  0.00524887  0.00543308  0.00562746  0.00582806  0.0060394
   0.00626038  0.00648896  0.00672951  0.0069795   0.00723815  0.00750917
   0.0077899   0.00807917  0.00838035  0.00869184  0.00901053  0.00933915
   0.00967779  0.01002325  0.01037426  0.01073226  0.01109645  0.01146427
   0.01183306  0.01220298  0.01257349  0.01294311  0.01330985  0.01367145
   0.01402626  0.01437362  0.01471263  0.01504225  0.01536142  0.01566916
   0.0159646   0.01624708  0.01651606  0.01677122  0.01701235  0.01723955
   0.01745301  0.017653    0.01783987  0.01801402  0.01817592  0.01832609
   0.01846508  0.01859346  0.01871182  0.01882076  0.01892086  0.01901271
   0.01909688  0.01917392  0.01924433  0.01930865  0.01936733  0.01942082
   0.01946955  0.01951391  0.01955427  0.01959096  0.0196243   0.01965457
   0.01968206  0.01970699  0.0197296   0.01974949]
 [ 0.          0.00323558  0.00165606  0.00087561  0.000472    0.00025647
   0.00013995  0.00007653  0.00004212  0.00002265  0.00001214  0.00000679
   0.00000344  0.00000191  0.00000099  0.0000005   0.00000029  0.00000012
   0.00000008  0.00000003  0.00000002  0.00000001  0.          0.
   0.          0.          0.          0.          0.         -0.
   0.          0.         -0.          0.         -0.          0.
   0.         -0.          0.          0.         -0.          0.
   0.         -0.          0.          0.         -0.         -0.
   0.          0.         -0.         -0.          0.          0.
   0.         -0.         -0.          0.          0.          0.
   0.         -0.         -0.         -0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]
 [ 0.          0.0031437   0.00208412  0.0014506   0.00103756  0.00075393
   0.00055317  0.00040819  0.00030244  0.00022362  0.00016521  0.0001229
   0.00008987  0.00006652  0.00004874  0.00003529  0.00002634  0.00001839
   0.00001398  0.00000954  0.00000705  0.00000511  0.00000329  0.00000291
   0.00000147  0.00000148  0.00000083  0.00000048  0.00000073  0.00000005
   0.0000004   0.00000016 -0.00000004  0.00000035 -0.00000007  0.00000004
   0.0000002  -0.00000011  0.00000007  0.00000011 -0.00000008  0.00000005
   0.00000008 -0.00000005  0.          0.00000006 -0.00000001 -0.00000002
   0.00000002  0.00000002 -0.         -0.          0.          0.
   0.         -0.         -0.          0.          0.          0.
   0.         -0.         -0.         -0.         -0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.          0.          0.
   0.          0.          0.          0.        ]]


##########################################################################################################
Original System 

y1' = 7 y3 + -4.5 y5 + -19.5 y1^2 -9.5 y1 y2 + -10 y1 y5 + -9.75 y1 y3 -9.75 y1 y4
y2' = 9 y4 + -4.5 y5 + -6 y2^2 -9.5 y1 y2 + -10 y3 y2 + -4 y5 y2 -1.75 y2 y4
y3' = 9.75 y1^2 -3.5 y3 + -9.75 y1 y3 + -19.5 y3^2 -10 y3 y2
y4' = 8 y2^2 -4.5 y4 + -9.75 y1 y4 + -1.75 y4 y2
y5' = 9.5 y1 y2 + -4.5 y5 -10 y5 y1 - 4 y5 y2 

this is the multiple run system sans noise with threshold:  100 

y1' = 0.000
y2' = 0.000
y3' = 0.000
y4' = 0.000
y5' = 0.000

this is the multiple run system with noise with threshold:  100 

y1' = 0.000
y2' = 0.000
y3' = 0.000
y4' = 0.000
y5' = 0.000