primepca

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Last updated: 2019-10-05

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File	Version	Author	Date	Message
Rmd	7be583a	Matthew Stephens	2019-10-05	wflow_publish(“primepca.Rmd”)

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Introduction

I briefly experiment with primePCA package for PCA with missing data and compare its results with those from softImpute. To make the two comparable I run both with no centering (set center=FALSE in primePCA).

library("primePCA")
library("softImpute")

Loading required package: Matrix

Loaded softImpute 1.4

This first try is 50% missingness in every row, a rank 1 matrix:

set.seed(123)
n = 100
p = 200
missprob = rep(0.5,100) #make every row have 50% missing
u = rnorm(n)
v = rnorm(p)
X = u %*% t(v) + rnorm(n*p)

for(i in 1:n){
  for(j in 1:p){
    if(runif(1)<missprob[i]){X[i,j]=NA}
  }
}
res.p = primePCA(X, 1,trace.it=TRUE,center=FALSE)

Step  1 
 100  rows selected
 MSE:  0.968833 
F-norm sine theta difference:  0.05781094 
Step  2 
 100  rows selected
 MSE:  0.9666323 
F-norm sine theta difference:  0.02964436 
Step  3 
 100  rows selected
 MSE:  0.9659507 
F-norm sine theta difference:  0.01625277 
Step  4 
 100  rows selected
 MSE:  0.9657148 
F-norm sine theta difference:  0.009455378 
Step  5 
 100  rows selected
 MSE:  0.9656257 
F-norm sine theta difference:  0.005764032 
Step  6 
 100  rows selected
 MSE:  0.9655898 
F-norm sine theta difference:  0.003635175 
Step  7 
 100  rows selected
 MSE:  0.9655747 
F-norm sine theta difference:  0.002349793 
Step  8 
 100  rows selected
 MSE:  0.9655681 
F-norm sine theta difference:  0.001547189 
Step  9 
 100  rows selected
 MSE:  0.9655652 
F-norm sine theta difference:  0.001032633 
Step  10 
 100  rows selected
 MSE:  0.9655638 
F-norm sine theta difference:  0.0006970548 
Step  11 
 100  rows selected
 MSE:  0.9655632 
F-norm sine theta difference:  0.0004761158 
Step  12 
 100  rows selected
 MSE:  0.9655629 
F-norm sine theta difference:  0.0003266135 
Step  13 
 100  rows selected
 MSE:  0.9655627 
F-norm sine theta difference:  0.0002257068 
Step  14 
 100  rows selected
 MSE:  0.9655627 
F-norm sine theta difference:  0.0001573049 
Step  15 
 100  rows selected
 MSE:  0.9655626 
F-norm sine theta difference:  0.0001102077 
Step  16 
 100  rows selected
 MSE:  0.9655626 
F-norm sine theta difference:  7.749123e-05 
Step  17 
 100  rows selected
 MSE:  0.9655626 
F-norm sine theta difference:  5.473344e-05 
Step  18 
 100  rows selected
 MSE:  0.9655626 
F-norm sine theta difference:  4.080174e-05 
Step  19 
 100  rows selected
 MSE:  0.9655626 
F-norm sine theta difference:  2.944105e-05 
Step  20 
 100  rows selected
 MSE:  0.9655626 
F-norm sine theta difference:  2.066318e-05 
Step  21 
 100  rows selected
 MSE:  0.9655626 
F-norm sine theta difference:  1.440328e-05 
Step  22 
 100  rows selected
 MSE:  0.9655626 
F-norm sine theta difference:  1.072085e-05 
Step  23 
 100  rows selected
 MSE:  0.9655626 
F-norm sine theta difference:  9.113093e-06 
Convergence threshold is hit.

res.s = softImpute(X,1)
plot(res.s$v,res.p$V_cur,main="v from prime vs softimpute")
abline(a=0,b=1,col=2)

This is the same but missingness varies by row (uniform on 0,1).

set.seed(123)
n = 100
p = 200
missprob = runif(n) #
u = rnorm(n)
v = rnorm(p)
X = u %*% t(v) + rnorm(n*p)

for(i in 1:n){
  for(j in 1:p){
    if(runif(1)<missprob[i]){X[i,j]=NA}
  }
}
res.p = primePCA(X, 1,trace.it=TRUE,center=FALSE)

Step  1 
 100  rows selected
 MSE:  0.9726793 
F-norm sine theta difference:  0.04919653 
Step  2 
 100  rows selected
 MSE:  0.9708138 
F-norm sine theta difference:  0.02657165 
Step  3 
 100  rows selected
 MSE:  0.9701554 
F-norm sine theta difference:  0.01552468 
Step  4 
 100  rows selected
 MSE:  0.9698923 
F-norm sine theta difference:  0.009684526 
Step  5 
 100  rows selected
 MSE:  0.9697756 
F-norm sine theta difference:  0.006378726 
Step  6 
 100  rows selected
 MSE:  0.9697195 
F-norm sine theta difference:  0.004390405 
Step  7 
 100  rows selected
 MSE:  0.9696911 
F-norm sine theta difference:  0.003112314 
Step  8 
 100  rows selected
 MSE:  0.969676 
F-norm sine theta difference:  0.002254117 
Step  9 
 100  rows selected
 MSE:  0.9696679 
F-norm sine theta difference:  0.001652757 
Step  10 
 100  rows selected
 MSE:  0.9696634 
F-norm sine theta difference:  0.001221776 
Step  11 
 100  rows selected
 MSE:  0.969661 
F-norm sine theta difference:  0.0009084723 
Step  12 
 100  rows selected
 MSE:  0.9696596 
F-norm sine theta difference:  0.0006780536 
Step  13 
 100  rows selected
 MSE:  0.9696588 
F-norm sine theta difference:  0.000506893 
Step  14 
 100  rows selected
 MSE:  0.9696584 
F-norm sine theta difference:  0.0003788364 
Step  15 
 100  rows selected
 MSE:  0.9696582 
F-norm sine theta difference:  0.0002845123 
Step  16 
 100  rows selected
 MSE:  0.969658 
F-norm sine theta difference:  0.0002138663 
Step  17 
 100  rows selected
 MSE:  0.9696579 
F-norm sine theta difference:  0.0001598658 
Step  18 
 100  rows selected
 MSE:  0.9696579 
F-norm sine theta difference:  0.0001213745 
Step  19 
 100  rows selected
 MSE:  0.9696579 
F-norm sine theta difference:  9.203949e-05 
Step  20 
 100  rows selected
 MSE:  0.9696579 
F-norm sine theta difference:  7.750291e-05 
Step  21 
 100  rows selected
 MSE:  0.9696579 
F-norm sine theta difference:  5.488484e-05 
Step  22 
 100  rows selected
 MSE:  0.9696579 
F-norm sine theta difference:  4.049146e-05 
Step  23 
 100  rows selected
 MSE:  0.9696579 
F-norm sine theta difference:  2.986458e-05 
Step  24 
 100  rows selected
 MSE:  0.9696579 
F-norm sine theta difference:  2.176991e-05 
Step  25 
 100  rows selected
 MSE:  0.9696579 
F-norm sine theta difference:  1.599991e-05 
Step  26 
 100  rows selected
 MSE:  0.9696578 
F-norm sine theta difference:  1.211284e-05 
Step  27 
 100  rows selected
 MSE:  0.9696578 
F-norm sine theta difference:  1.174769e-05 
Step  28 
 100  rows selected
 MSE:  0.9696578 
F-norm sine theta difference:  1.027336e-05 
Step  29 
 100  rows selected
 MSE:  0.9696578 
F-norm sine theta difference:  6.508465e-06 
Convergence threshold is hit.

res.s = softImpute(X,1)
plot(res.s$v,res.p$V_cur,main="v from prime vs softimpute")
abline(a=0,b=-1,col=2)

This example has higher missingness (0.8,1)

set.seed(123)
n = 100
p = 200
missprob = 0.8+ 0.2*runif(n) #at least 80% missing
u = rnorm(n)
v = rnorm(p)
X = u %*% t(v) + rnorm(n*p)

for(i in 1:n){
  for(j in 1:p){
    if(runif(1)<missprob[i]){X[i,j]=NA}
  }
}
res.p = primePCA(X, 1,trace.it=TRUE,center=FALSE)

Step  1 
 95  rows selected
 MSE:  0.9114651 
F-norm sine theta difference:  0.02787461 
Step  2 
 95  rows selected
 MSE:  0.9013405 
F-norm sine theta difference:  0.02525255 
Step  3 
 95  rows selected
 MSE:  0.8927288 
F-norm sine theta difference:  0.02302103 
Step  4 
 95  rows selected
 MSE:  0.8853558 
F-norm sine theta difference:  0.02108955 
Step  5 
 95  rows selected
 MSE:  0.8790087 
F-norm sine theta difference:  0.0193945 
Step  6 
 95  rows selected
 MSE:  0.8735179 
F-norm sine theta difference:  0.0178935 
Step  7 
 95  rows selected
 MSE:  0.8687472 
F-norm sine theta difference:  0.01655482 
Step  8 
 95  rows selected
 MSE:  0.864585 
F-norm sine theta difference:  0.01535521 
Step  9 
 95  rows selected
 MSE:  0.8609398 
F-norm sine theta difference:  0.014276 
Step  10 
 95  rows selected
 MSE:  0.8577356 
F-norm sine theta difference:  0.01330184 
Step  11 
 95  rows selected
 MSE:  0.8549094 
F-norm sine theta difference:  0.01241985 
Step  12 
 95  rows selected
 MSE:  0.852408 
F-norm sine theta difference:  0.01161994 
Step  13 
 95  rows selected
 MSE:  0.8501873 
F-norm sine theta difference:  0.01089167 
Step  14 
 95  rows selected
 MSE:  0.8482095 
F-norm sine theta difference:  0.01022807 
Step  15 
 95  rows selected
 MSE:  0.8464429 
F-norm sine theta difference:  0.009621565 
Step  16 
 95  rows selected
 MSE:  0.8448603 
F-norm sine theta difference:  0.009066491 
Step  17 
 95  rows selected
 MSE:  0.8434387 
F-norm sine theta difference:  0.008557665 
Step  18 
 95  rows selected
 MSE:  0.8421581 
F-norm sine theta difference:  0.008090199 
Step  19 
 95  rows selected
 MSE:  0.8410015 
F-norm sine theta difference:  0.007659942 
Step  20 
 95  rows selected
 MSE:  0.8399543 
F-norm sine theta difference:  0.007263443 
Step  21 
 95  rows selected
 MSE:  0.8390038 
F-norm sine theta difference:  0.006897267 
Step  22 
 95  rows selected
 MSE:  0.8381389 
F-norm sine theta difference:  0.006558812 
Step  23 
 95  rows selected
 MSE:  0.83735 
F-norm sine theta difference:  0.006245276 
Step  24 
 95  rows selected
 MSE:  0.8366288 
F-norm sine theta difference:  0.005954803 
Step  25 
 95  rows selected
 MSE:  0.8359681 
F-norm sine theta difference:  0.005684578 
Step  26 
 95  rows selected
 MSE:  0.8353615 
F-norm sine theta difference:  0.005433201 
Step  27 
 95  rows selected
 MSE:  0.8348034 
F-norm sine theta difference:  0.005199125 
Step  28 
 95  rows selected
 MSE:  0.834289 
F-norm sine theta difference:  0.004980693 
Step  29 
 95  rows selected
 MSE:  0.8338138 
F-norm sine theta difference:  0.004776482 
Step  30 
 95  rows selected
 MSE:  0.8333741 
F-norm sine theta difference:  0.004585422 
Step  31 
 95  rows selected
 MSE:  0.8329666 
F-norm sine theta difference:  0.004405888 
Step  32 
 95  rows selected
 MSE:  0.8325881 
F-norm sine theta difference:  0.004237907 
Step  33 
 95  rows selected
 MSE:  0.8322362 
F-norm sine theta difference:  0.004079837 
Step  34 
 95  rows selected
 MSE:  0.8319084 
F-norm sine theta difference:  0.003930955 
Step  35 
 95  rows selected
 MSE:  0.8316026 
F-norm sine theta difference:  0.003790501 
Step  36 
 95  rows selected
 MSE:  0.831317 
F-norm sine theta difference:  0.003657873 
Step  37 
 95  rows selected
 MSE:  0.8310499 
F-norm sine theta difference:  0.003532721 
Step  38 
 95  rows selected
 MSE:  0.8307997 
F-norm sine theta difference:  0.003414044 
Step  39 
 95  rows selected
 MSE:  0.8305651 
F-norm sine theta difference:  0.003301607 
Step  40 
 95  rows selected
 MSE:  0.8303449 
F-norm sine theta difference:  0.003194916 
Step  41 
 95  rows selected
 MSE:  0.8301379 
F-norm sine theta difference:  0.003093502 
Step  42 
 95  rows selected
 MSE:  0.8299432 
F-norm sine theta difference:  0.002997117 
Step  43 
 95  rows selected
 MSE:  0.8297598 
F-norm sine theta difference:  0.002905227 
Step  44 
 95  rows selected
 MSE:  0.8295869 
F-norm sine theta difference:  0.0028176 
Step  45 
 95  rows selected
 MSE:  0.8294239 
F-norm sine theta difference:  0.002734116 
Step  46 
 95  rows selected
 MSE:  0.8292699 
F-norm sine theta difference:  0.00265449 
Step  47 
 95  rows selected
 MSE:  0.8291243 
F-norm sine theta difference:  0.002578079 
Step  48 
 95  rows selected
 MSE:  0.8289866 
F-norm sine theta difference:  0.00250501 
Step  49 
 95  rows selected
 MSE:  0.8288563 
F-norm sine theta difference:  0.002435185 
Step  50 
 95  rows selected
 MSE:  0.8287328 
F-norm sine theta difference:  0.002368235 
Step  51 
 95  rows selected
 MSE:  0.8286158 
F-norm sine theta difference:  0.002303927 
Step  52 
 95  rows selected
 MSE:  0.8285047 
F-norm sine theta difference:  0.002242404 
Step  53 
 95  rows selected
 MSE:  0.8283993 
F-norm sine theta difference:  0.002183311 
Step  54 
 95  rows selected
 MSE:  0.8282992 
F-norm sine theta difference:  0.002126251 
Step  55 
 95  rows selected
 MSE:  0.828204 
F-norm sine theta difference:  0.002071493 
Step  56 
 95  rows selected
 MSE:  0.8281135 
F-norm sine theta difference:  0.002018908 
Step  57 
 95  rows selected
 MSE:  0.8280273 
F-norm sine theta difference:  0.001968235 
Step  58 
 95  rows selected
 MSE:  0.8279453 
F-norm sine theta difference:  0.001919361 
Step  59 
 95  rows selected
 MSE:  0.8278671 
F-norm sine theta difference:  0.001872393 
Step  60 
 95  rows selected
 MSE:  0.8277926 
F-norm sine theta difference:  0.001826795 
Step  61 
 95  rows selected
 MSE:  0.8277215 
F-norm sine theta difference:  0.001783313 
Step  62 
 95  rows selected
 MSE:  0.8276537 
F-norm sine theta difference:  0.001741076 
Step  63 
 95  rows selected
 MSE:  0.827589 
F-norm sine theta difference:  0.001700428 
Step  64 
 95  rows selected
 MSE:  0.8275271 
F-norm sine theta difference:  0.001660966 
Step  65 
 95  rows selected
 MSE:  0.827468 
F-norm sine theta difference:  0.001623068 
Step  66 
 95  rows selected
 MSE:  0.8274115 
F-norm sine theta difference:  0.001586193 
Step  67 
 95  rows selected
 MSE:  0.8273574 
F-norm sine theta difference:  0.001550802 
Step  68 
 95  rows selected
 MSE:  0.8273056 
F-norm sine theta difference:  0.001516274 
Step  69 
 95  rows selected
 MSE:  0.8272561 
F-norm sine theta difference:  0.001482962 
Step  70 
 95  rows selected
 MSE:  0.8272086 
F-norm sine theta difference:  0.001450712 
Step  71 
 95  rows selected
 MSE:  0.8271632 
F-norm sine theta difference:  0.001419471 
Step  72 
 95  rows selected
 MSE:  0.8271196 
F-norm sine theta difference:  0.00138938 
Step  73 
 95  rows selected
 MSE:  0.8270777 
F-norm sine theta difference:  0.001360048 
Step  74 
 95  rows selected
 MSE:  0.8270376 
F-norm sine theta difference:  0.001331741 
Step  75 
 95  rows selected
 MSE:  0.8269991 
F-norm sine theta difference:  0.001304168 
Step  76 
 95  rows selected
 MSE:  0.8269621 
F-norm sine theta difference:  0.001277432 
Step  77 
 95  rows selected
 MSE:  0.8269266 
F-norm sine theta difference:  0.001251716 
Step  78 
 95  rows selected
 MSE:  0.8268924 
F-norm sine theta difference:  0.001226587 
Step  79 
 95  rows selected
 MSE:  0.8268596 
F-norm sine theta difference:  0.001202332 
Step  80 
 95  rows selected
 MSE:  0.826828 
F-norm sine theta difference:  0.001178697 
Step  81 
 95  rows selected
 MSE:  0.8267977 
F-norm sine theta difference:  0.00115573 
Step  82 
 95  rows selected
 MSE:  0.8267684 
F-norm sine theta difference:  0.001133484 
Step  83 
 95  rows selected
 MSE:  0.8267403 
F-norm sine theta difference:  0.001111963 
Step  84 
 95  rows selected
 MSE:  0.8267132 
F-norm sine theta difference:  0.001090909 
Step  85 
 95  rows selected
 MSE:  0.826687 
F-norm sine theta difference:  0.001070552 
Step  86 
 95  rows selected
 MSE:  0.8266618 
F-norm sine theta difference:  0.001050729 
Step  87 
 95  rows selected
 MSE:  0.8266376 
F-norm sine theta difference:  0.001031479 
Step  88 
 95  rows selected
 MSE:  0.8266141 
F-norm sine theta difference:  0.001012835 
Step  89 
 95  rows selected
 MSE:  0.8265915 
F-norm sine theta difference:  0.0009945157 
Step  90 
 95  rows selected
 MSE:  0.8265697 
F-norm sine theta difference:  0.0009768203 
Step  91 
 95  rows selected
 MSE:  0.8265486 
F-norm sine theta difference:  0.0009596187 
Step  92 
 95  rows selected
 MSE:  0.8265283 
F-norm sine theta difference:  0.0009428516 
Step  93 
 95  rows selected
 MSE:  0.8265086 
F-norm sine theta difference:  0.0009265503 
Step  94 
 95  rows selected
 MSE:  0.8264896 
F-norm sine theta difference:  0.0009108539 
Step  95 
 95  rows selected
 MSE:  0.8264712 
F-norm sine theta difference:  0.0008952657 
Step  96 
 95  rows selected
 MSE:  0.8264535 
F-norm sine theta difference:  0.000880433 
Step  97 
 95  rows selected
 MSE:  0.8264363 
F-norm sine theta difference:  0.0008655477 
Step  98 
 95  rows selected
 MSE:  0.8264196 
F-norm sine theta difference:  0.0008513683 
Step  99 
 95  rows selected
 MSE:  0.8264035 
F-norm sine theta difference:  0.0008373911 
Step  100 
 95  rows selected
 MSE:  0.8263879 
F-norm sine theta difference:  0.0008238617 
Step  101 
 95  rows selected
 MSE:  0.8263728 
F-norm sine theta difference:  0.0008106802 
Step  102 
 95  rows selected
 MSE:  0.8263582 
F-norm sine theta difference:  0.000797882 
Step  103 
 95  rows selected
 MSE:  0.826344 
F-norm sine theta difference:  0.0007854245 
Step  104 
 95  rows selected
 MSE:  0.8263302 
F-norm sine theta difference:  0.0007731979 
Step  105 
 95  rows selected
 MSE:  0.8263169 
F-norm sine theta difference:  0.0007612278 
Step  106 
 95  rows selected
 MSE:  0.8263039 
F-norm sine theta difference:  0.0007497686 
Step  107 
 95  rows selected
 MSE:  0.8262914 
F-norm sine theta difference:  0.0007385286 
Step  108 
 95  rows selected
 MSE:  0.8262792 
F-norm sine theta difference:  0.0007272515 
Step  109 
 95  rows selected
 MSE:  0.8262673 
F-norm sine theta difference:  0.000716559 
Step  110 
 95  rows selected
 MSE:  0.8262558 
F-norm sine theta difference:  0.000705853 
Step  111 
 95  rows selected
 MSE:  0.8262447 
F-norm sine theta difference:  0.0006958176 
Step  112 
 95  rows selected
 MSE:  0.8262338 
F-norm sine theta difference:  0.000685777 
Step  113 
 95  rows selected
 MSE:  0.8262233 
F-norm sine theta difference:  0.0006759822 
Step  114 
 95  rows selected
 MSE:  0.826213 
F-norm sine theta difference:  0.0006663135 
Step  115 
 95  rows selected
 MSE:  0.826203 
F-norm sine theta difference:  0.0006571417 
Step  116 
 95  rows selected
 MSE:  0.8261933 
F-norm sine theta difference:  0.0006481247 
Step  117 
 95  rows selected
 MSE:  0.8261839 
F-norm sine theta difference:  0.0006391846 
Step  118 
 95  rows selected
 MSE:  0.8261747 
F-norm sine theta difference:  0.0006305854 
Step  119 
 95  rows selected
 MSE:  0.8261657 
F-norm sine theta difference:  0.0006219011 
Step  120 
 95  rows selected
 MSE:  0.826157 
F-norm sine theta difference:  0.0006137272 
Step  121 
 95  rows selected
 MSE:  0.8261485 
F-norm sine theta difference:  0.0006055124 
Step  122 
 95  rows selected
 MSE:  0.8261402 
F-norm sine theta difference:  0.000597848 
Step  123 
 95  rows selected
 MSE:  0.8261322 
F-norm sine theta difference:  0.000589989 
Step  124 
 95  rows selected
 MSE:  0.8261243 
F-norm sine theta difference:  0.0005824307 
Step  125 
 95  rows selected
 MSE:  0.8261166 
F-norm sine theta difference:  0.0005749597 
Step  126 
 95  rows selected
 MSE:  0.8261092 
F-norm sine theta difference:  0.0005678739 
Step  127 
 95  rows selected
 MSE:  0.8261019 
F-norm sine theta difference:  0.0005606763 
Step  128 
 95  rows selected
 MSE:  0.8260948 
F-norm sine theta difference:  0.0005537568 
Step  129 
 95  rows selected
 MSE:  0.8260878 
F-norm sine theta difference:  0.0005471372 
Step  130 
 95  rows selected
 MSE:  0.826081 
F-norm sine theta difference:  0.0005405924 
Step  131 
 95  rows selected
 MSE:  0.8260744 
F-norm sine theta difference:  0.0005339697 
Step  132 
 95  rows selected
 MSE:  0.8260679 
F-norm sine theta difference:  0.0005276249 
Step  133 
 95  rows selected
 MSE:  0.8260616 
F-norm sine theta difference:  0.0005214265 
Step  134 
 95  rows selected
 MSE:  0.8260555 
F-norm sine theta difference:  0.0005154214 
Step  135 
 95  rows selected
 MSE:  0.8260494 
F-norm sine theta difference:  0.0005093906 
Step  136 
 95  rows selected
 MSE:  0.8260435 
F-norm sine theta difference:  0.0005035648 
Step  137 
 95  rows selected
 MSE:  0.8260378 
F-norm sine theta difference:  0.0004975429 
Step  138 
 95  rows selected
 MSE:  0.8260321 
F-norm sine theta difference:  0.0004922835 
Step  139 
 95  rows selected
 MSE:  0.8260266 
F-norm sine theta difference:  0.0004868522 
Step  140 
 95  rows selected
 MSE:  0.8260212 
F-norm sine theta difference:  0.0004812964 
Step  141 
 95  rows selected
 MSE:  0.826016 
F-norm sine theta difference:  0.0004758066 
Step  142 
 95  rows selected
 MSE:  0.8260108 
F-norm sine theta difference:  0.0004711365 
Step  143 
 95  rows selected
 MSE:  0.8260057 
F-norm sine theta difference:  0.0004659749 
Step  144 
 95  rows selected
 MSE:  0.8260008 
F-norm sine theta difference:  0.0004610318 
Step  145 
 95  rows selected
 MSE:  0.8259959 
F-norm sine theta difference:  0.0004562038 
Step  146 
 95  rows selected
 MSE:  0.8259912 
F-norm sine theta difference:  0.0004513657 
Step  147 
 95  rows selected
 MSE:  0.8259865 
F-norm sine theta difference:  0.000446784 
Step  148 
 95  rows selected
 MSE:  0.825982 
F-norm sine theta difference:  0.0004422256 
Step  149 
 95  rows selected
 MSE:  0.8259775 
F-norm sine theta difference:  0.0004377837 
Step  150 
 95  rows selected
 MSE:  0.8259731 
F-norm sine theta difference:  0.0004334001 
Step  151 
 95  rows selected
 MSE:  0.8259688 
F-norm sine theta difference:  0.0004289843 
Step  152 
 95  rows selected
 MSE:  0.8259646 
F-norm sine theta difference:  0.0004249395 
Step  153 
 95  rows selected
 MSE:  0.8259605 
F-norm sine theta difference:  0.0004207586 
Step  154 
 95  rows selected
 MSE:  0.8259565 
F-norm sine theta difference:  0.0004163492 
Step  155 
 95  rows selected
 MSE:  0.8259525 
F-norm sine theta difference:  0.0004126021 
Step  156 
 95  rows selected
 MSE:  0.8259486 
F-norm sine theta difference:  0.0004085609 
Step  157 
 95  rows selected
 MSE:  0.8259448 
F-norm sine theta difference:  0.0004047014 
Step  158 
 95  rows selected
 MSE:  0.825941 
F-norm sine theta difference:  0.0004009125 
Step  159 
 95  rows selected
 MSE:  0.8259373 
F-norm sine theta difference:  0.0003971416 
Step  160 
 95  rows selected
 MSE:  0.8259337 
F-norm sine theta difference:  0.0003934737 
Step  161 
 95  rows selected
 MSE:  0.8259302 
F-norm sine theta difference:  0.0003898515 
Step  162 
 95  rows selected
 MSE:  0.8259267 
F-norm sine theta difference:  0.0003866466 
Step  163 
 95  rows selected
 MSE:  0.8259233 
F-norm sine theta difference:  0.0003828926 
Step  164 
 95  rows selected
 MSE:  0.8259199 
F-norm sine theta difference:  0.00037948 
Step  165 
 95  rows selected
 MSE:  0.8259166 
F-norm sine theta difference:  0.0003761124 
Step  166 
 95  rows selected
 MSE:  0.8259133 
F-norm sine theta difference:  0.0003732202 
Step  167 
 95  rows selected
 MSE:  0.8259101 
F-norm sine theta difference:  0.0003692566 
Step  168 
 95  rows selected
 MSE:  0.825907 
F-norm sine theta difference:  0.0003662951 
Step  169 
 95  rows selected
 MSE:  0.8259039 
F-norm sine theta difference:  0.0003631979 
Step  170 
 95  rows selected
 MSE:  0.8259009 
F-norm sine theta difference:  0.0003601435 
Step  171 
 95  rows selected
 MSE:  0.8258979 
F-norm sine theta difference:  0.000357196 
Step  172 
 95  rows selected
 MSE:  0.825895 
F-norm sine theta difference:  0.0003542169 
Step  173 
 95  rows selected
 MSE:  0.8258921 
F-norm sine theta difference:  0.0003512402 
Step  174 
 95  rows selected
 MSE:  0.8258892 
F-norm sine theta difference:  0.0003485219 
Step  175 
 95  rows selected
 MSE:  0.8258865 
F-norm sine theta difference:  0.0003454649 
Step  176 
 95  rows selected
 MSE:  0.8258837 
F-norm sine theta difference:  0.0003426109 
Step  177 
 95  rows selected
 MSE:  0.825881 
F-norm sine theta difference:  0.0003399887 
Step  178 
 95  rows selected
 MSE:  0.8258783 
F-norm sine theta difference:  0.0003372355 
Step  179 
 95  rows selected
 MSE:  0.8258757 
F-norm sine theta difference:  0.0003343793 
Step  180 
 95  rows selected
 MSE:  0.8258731 
F-norm sine theta difference:  0.0003317473 
Step  181 
 95  rows selected
 MSE:  0.8258706 
F-norm sine theta difference:  0.0003293 
Step  182 
 95  rows selected
 MSE:  0.8258681 
F-norm sine theta difference:  0.0003267252 
Step  183 
 95  rows selected
 MSE:  0.8258656 
F-norm sine theta difference:  0.0003244414 
Step  184 
 95  rows selected
 MSE:  0.8258632 
F-norm sine theta difference:  0.000321679 
Step  185 
 95  rows selected
 MSE:  0.8258608 
F-norm sine theta difference:  0.0003192931 
Step  186 
 95  rows selected
 MSE:  0.8258585 
F-norm sine theta difference:  0.0003168282 
Step  187 
 95  rows selected
 MSE:  0.8258562 
F-norm sine theta difference:  0.0003147114 
Step  188 
 95  rows selected
 MSE:  0.8258539 
F-norm sine theta difference:  0.0003122075 
Step  189 
 95  rows selected
 MSE:  0.8258516 
F-norm sine theta difference:  0.000309954 
Step  190 
 95  rows selected
 MSE:  0.8258494 
F-norm sine theta difference:  0.0003076009 
Step  191 
 95  rows selected
 MSE:  0.8258472 
F-norm sine theta difference:  0.0003053747 
Step  192 
 95  rows selected
 MSE:  0.8258451 
F-norm sine theta difference:  0.0003031595 
Step  193 
 95  rows selected
 MSE:  0.8258429 
F-norm sine theta difference:  0.0003009291 
Step  194 
 95  rows selected
 MSE:  0.8258408 
F-norm sine theta difference:  0.0002990333 
Step  195 
 95  rows selected
 MSE:  0.8258388 
F-norm sine theta difference:  0.0002967334 
Step  196 
 95  rows selected
 MSE:  0.8258367 
F-norm sine theta difference:  0.0002945883 
Step  197 
 95  rows selected
 MSE:  0.8258347 
F-norm sine theta difference:  0.000292511 
Step  198 
 95  rows selected
 MSE:  0.8258328 
F-norm sine theta difference:  0.0002904923 
Step  199 
 95  rows selected
 MSE:  0.8258308 
F-norm sine theta difference:  0.0002883946 
Step  200 
 95  rows selected
 MSE:  0.8258289 
F-norm sine theta difference:  0.0002864031 
Step  201 
 95  rows selected
 MSE:  0.825827 
F-norm sine theta difference:  0.0002845654 
Step  202 
 95  rows selected
 MSE:  0.8258251 
F-norm sine theta difference:  0.0002826934 
Step  203 
 95  rows selected
 MSE:  0.8258233 
F-norm sine theta difference:  0.0002807086 
Step  204 
 95  rows selected
 MSE:  0.8258214 
F-norm sine theta difference:  0.0002788352 
Step  205 
 95  rows selected
 MSE:  0.8258196 
F-norm sine theta difference:  0.0002769985 
Step  206 
 95  rows selected
 MSE:  0.8258179 
F-norm sine theta difference:  0.0002750672 
Step  207 
 95  rows selected
 MSE:  0.8258161 
F-norm sine theta difference:  0.000273331 
Step  208 
 95  rows selected
 MSE:  0.8258144 
F-norm sine theta difference:  0.0002715083 
Step  209 
 95  rows selected
 MSE:  0.8258127 
F-norm sine theta difference:  0.0002693582 
Step  210 
 95  rows selected
 MSE:  0.825811 
F-norm sine theta difference:  0.0002680061 
Step  211 
 95  rows selected
 MSE:  0.8258093 
F-norm sine theta difference:  0.0002663032 
Step  212 
 95  rows selected
 MSE:  0.8258077 
F-norm sine theta difference:  0.0002645748 
Step  213 
 95  rows selected
 MSE:  0.8258061 
F-norm sine theta difference:  0.0002628957 
Step  214 
 95  rows selected
 MSE:  0.8258044 
F-norm sine theta difference:  0.000261201 
Step  215 
 95  rows selected
 MSE:  0.8258029 
F-norm sine theta difference:  0.0002595333 
Step  216 
 95  rows selected
 MSE:  0.8258013 
F-norm sine theta difference:  0.00025794 
Step  217 
 95  rows selected
 MSE:  0.8257998 
F-norm sine theta difference:  0.0002561709 
Step  218 
 95  rows selected
 MSE:  0.8257982 
F-norm sine theta difference:  0.0002547074 
Step  219 
 95  rows selected
 MSE:  0.8257967 
F-norm sine theta difference:  0.0002528062 
Step  220 
 95  rows selected
 MSE:  0.8257952 
F-norm sine theta difference:  0.0002518661 
Step  221 
 95  rows selected
 MSE:  0.8257938 
F-norm sine theta difference:  0.0002500609 
Step  222 
 95  rows selected
 MSE:  0.8257923 
F-norm sine theta difference:  0.0002485922 
Step  223 
 95  rows selected
 MSE:  0.8257909 
F-norm sine theta difference:  0.0002469112 
Step  224 
 95  rows selected
 MSE:  0.8257895 
F-norm sine theta difference:  0.0002454002 
Step  225 
 95  rows selected
 MSE:  0.8257881 
F-norm sine theta difference:  0.0002439056 
Step  226 
 95  rows selected
 MSE:  0.8257867 
F-norm sine theta difference:  0.0002425752 
Step  227 
 95  rows selected
 MSE:  0.8257853 
F-norm sine theta difference:  0.0002411427 
Step  228 
 95  rows selected
 MSE:  0.825784 
F-norm sine theta difference:  0.0002395501 
Step  229 
 95  rows selected
 MSE:  0.8257826 
F-norm sine theta difference:  0.0002382336 
Step  230 
 95  rows selected
 MSE:  0.8257813 
F-norm sine theta difference:  0.0002369545 
Step  231 
 95  rows selected
 MSE:  0.82578 
F-norm sine theta difference:  0.0002356009 
Step  232 
 95  rows selected
 MSE:  0.8257787 
F-norm sine theta difference:  0.0002340734 
Step  233 
 95  rows selected
 MSE:  0.8257775 
F-norm sine theta difference:  0.00023278 
Step  234 
 95  rows selected
 MSE:  0.8257762 
F-norm sine theta difference:  0.000231471 
Step  235 
 95  rows selected
 MSE:  0.825775 
F-norm sine theta difference:  0.0002303725 
Step  236 
 95  rows selected
 MSE:  0.8257737 
F-norm sine theta difference:  0.0002287851 
Step  237 
 95  rows selected
 MSE:  0.8257725 
F-norm sine theta difference:  0.0002276154 
Step  238 
 95  rows selected
 MSE:  0.8257713 
F-norm sine theta difference:  0.0002262636 
Step  239 
 95  rows selected
 MSE:  0.8257701 
F-norm sine theta difference:  0.0002247432 
Step  240 
 95  rows selected
 MSE:  0.8257689 
F-norm sine theta difference:  0.0002238021 
Step  241 
 95  rows selected
 MSE:  0.8257678 
F-norm sine theta difference:  0.0002224869 
Step  242 
 95  rows selected
 MSE:  0.8257666 
F-norm sine theta difference:  0.0002211354 
Step  243 
 95  rows selected
 MSE:  0.8257655 
F-norm sine theta difference:  0.000219907 
Step  244 
 95  rows selected
 MSE:  0.8257644 
F-norm sine theta difference:  0.0002186686 
Step  245 
 95  rows selected
 MSE:  0.8257632 
F-norm sine theta difference:  0.0002174184 
Step  246 
 95  rows selected
 MSE:  0.8257621 
F-norm sine theta difference:  0.0002162335 
Step  247 
 95  rows selected
 MSE:  0.8257611 
F-norm sine theta difference:  0.000215096 
Step  248 
 95  rows selected
 MSE:  0.82576 
F-norm sine theta difference:  0.000213821 
Step  249 
 95  rows selected
 MSE:  0.8257589 
F-norm sine theta difference:  0.0002134564 
Step  250 
 95  rows selected
 MSE:  0.8257579 
F-norm sine theta difference:  0.0002115405 
Step  251 
 95  rows selected
 MSE:  0.8257568 
F-norm sine theta difference:  0.0002104258 
Step  252 
 95  rows selected
 MSE:  0.8257558 
F-norm sine theta difference:  0.0002091449 
Step  253 
 95  rows selected
 MSE:  0.8257548 
F-norm sine theta difference:  0.0002080912 
Step  254 
 95  rows selected
 MSE:  0.8257538 
F-norm sine theta difference:  0.000207217 
Step  255 
 95  rows selected
 MSE:  0.8257528 
F-norm sine theta difference:  0.0002059218 
Step  256 
 95  rows selected
 MSE:  0.8257518 
F-norm sine theta difference:  0.0002051586 
Step  257 
 95  rows selected
 MSE:  0.8257508 
F-norm sine theta difference:  0.0002037881 
Step  258 
 95  rows selected
 MSE:  0.8257498 
F-norm sine theta difference:  0.000202689 
Step  259 
 95  rows selected
 MSE:  0.8257489 
F-norm sine theta difference:  0.0002017231 
Step  260 
 95  rows selected
 MSE:  0.8257479 
F-norm sine theta difference:  0.000200436 
Step  261 
 95  rows selected
 MSE:  0.825747 
F-norm sine theta difference:  0.000199527 
Step  262 
 95  rows selected
 MSE:  0.8257461 
F-norm sine theta difference:  0.0001983782 
Step  263 
 95  rows selected
 MSE:  0.8257451 
F-norm sine theta difference:  0.0001974211 
Step  264 
 95  rows selected
 MSE:  0.8257442 
F-norm sine theta difference:  0.0001963354 
Step  265 
 95  rows selected
 MSE:  0.8257433 
F-norm sine theta difference:  0.0001953337 
Step  266 
 95  rows selected
 MSE:  0.8257424 
F-norm sine theta difference:  0.0001942478 
Step  267 
 95  rows selected
 MSE:  0.8257416 
F-norm sine theta difference:  0.0001937315 
Step  268 
 95  rows selected
 MSE:  0.8257407 
F-norm sine theta difference:  0.0001924682 
Step  269 
 95  rows selected
 MSE:  0.8257398 
F-norm sine theta difference:  0.0001914344 
Step  270 
 95  rows selected
 MSE:  0.825739 
F-norm sine theta difference:  0.0001903869 
Step  271 
 95  rows selected
 MSE:  0.8257381 
F-norm sine theta difference:  0.0001895423 
Step  272 
 95  rows selected
 MSE:  0.8257373 
F-norm sine theta difference:  0.0001884768 
Step  273 
 95  rows selected
 MSE:  0.8257365 
F-norm sine theta difference:  0.0001874504 
Step  274 
 95  rows selected
 MSE:  0.8257357 
F-norm sine theta difference:  0.0001865141 
Step  275 
 95  rows selected
 MSE:  0.8257348 
F-norm sine theta difference:  0.0001856402 
Step  276 
 95  rows selected
 MSE:  0.825734 
F-norm sine theta difference:  0.0001846131 
Step  277 
 95  rows selected
 MSE:  0.8257332 
F-norm sine theta difference:  0.0001839431 
Step  278 
 95  rows selected
 MSE:  0.8257325 
F-norm sine theta difference:  0.000182826 
Step  279 
 95  rows selected
 MSE:  0.8257317 
F-norm sine theta difference:  0.0001819779 
Step  280 
 95  rows selected
 MSE:  0.8257309 
F-norm sine theta difference:  0.000180962 
Step  281 
 95  rows selected
 MSE:  0.8257301 
F-norm sine theta difference:  0.0001801217 
Step  282 
 95  rows selected
 MSE:  0.8257294 
F-norm sine theta difference:  0.00017922 
Step  283 
 95  rows selected
 MSE:  0.8257286 
F-norm sine theta difference:  0.000178389 
Step  284 
 95  rows selected
 MSE:  0.8257279 
F-norm sine theta difference:  0.0001774884 
Step  285 
 95  rows selected
 MSE:  0.8257272 
F-norm sine theta difference:  0.0001768952 
Step  286 
 95  rows selected
 MSE:  0.8257264 
F-norm sine theta difference:  0.0001757619 
Step  287 
 95  rows selected
 MSE:  0.8257257 
F-norm sine theta difference:  0.0001744958 
Step  288 
 95  rows selected
 MSE:  0.825725 
F-norm sine theta difference:  0.0001739947 
Step  289 
 95  rows selected
 MSE:  0.8257243 
F-norm sine theta difference:  0.0001731345 
Step  290 
 95  rows selected
 MSE:  0.8257236 
F-norm sine theta difference:  0.0001722137 
Step  291 
 95  rows selected
 MSE:  0.8257229 
F-norm sine theta difference:  0.0001714263 
Step  292 
 95  rows selected
 MSE:  0.8257222 
F-norm sine theta difference:  0.000170469 
Step  293 
 95  rows selected
 MSE:  0.8257215 
F-norm sine theta difference:  0.0001697786 
Step  294 
 95  rows selected
 MSE:  0.8257209 
F-norm sine theta difference:  0.0001689783 
Step  295 
 95  rows selected
 MSE:  0.8257202 
F-norm sine theta difference:  0.0001681764 
Step  296 
 95  rows selected
 MSE:  0.8257195 
F-norm sine theta difference:  0.0001673726 
Step  297 
 95  rows selected
 MSE:  0.8257189 
F-norm sine theta difference:  0.0001663965 
Step  298 
 95  rows selected
 MSE:  0.8257182 
F-norm sine theta difference:  0.0001657808 
Step  299 
 95  rows selected
 MSE:  0.8257176 
F-norm sine theta difference:  0.0001649887 
Step  300 
 95  rows selected
 MSE:  0.825717 
F-norm sine theta difference:  0.0001641519 
Step  301 
 95  rows selected
 MSE:  0.8257163 
F-norm sine theta difference:  0.0001634444 
Step  302 
 95  rows selected
 MSE:  0.8257157 
F-norm sine theta difference:  0.0001625298 
Step  303 
 95  rows selected
 MSE:  0.8257151 
F-norm sine theta difference:  0.0001617071 
Step  304 
 95  rows selected
 MSE:  0.8257145 
F-norm sine theta difference:  0.0001611661 
Step  305 
 95  rows selected
 MSE:  0.8257139 
F-norm sine theta difference:  0.000160322 
Step  306 
 95  rows selected
 MSE:  0.8257133 
F-norm sine theta difference:  0.0001593692 
Step  307 
 95  rows selected
 MSE:  0.8257127 
F-norm sine theta difference:  0.0001587662 
Step  308 
 95  rows selected
 MSE:  0.8257121 
F-norm sine theta difference:  0.0001578269 
Step  309 
 95  rows selected
 MSE:  0.8257115 
F-norm sine theta difference:  0.0001572884 
Step  310 
 95  rows selected
 MSE:  0.8257109 
F-norm sine theta difference:  0.0001569113 
Step  311 
 95  rows selected
 MSE:  0.8257103 
F-norm sine theta difference:  0.0001558019 
Step  312 
 95  rows selected
 MSE:  0.8257098 
F-norm sine theta difference:  0.0001551784 
Step  313 
 95  rows selected
 MSE:  0.8257092 
F-norm sine theta difference:  0.0001544733 
Step  314 
 95  rows selected
 MSE:  0.8257087 
F-norm sine theta difference:  0.0001536427 
Step  315 
 95  rows selected
 MSE:  0.8257081 
F-norm sine theta difference:  0.000152982 
Step  316 
 95  rows selected
 MSE:  0.8257076 
F-norm sine theta difference:  0.0001522424 
Step  317 
 95  rows selected
 MSE:  0.825707 
F-norm sine theta difference:  0.0001516092 
Step  318 
 95  rows selected
 MSE:  0.8257065 
F-norm sine theta difference:  0.0001508572 
Step  319 
 95  rows selected
 MSE:  0.825706 
F-norm sine theta difference:  0.0001500738 
Step  320 
 95  rows selected
 MSE:  0.8257054 
F-norm sine theta difference:  0.0001494606 
Step  321 
 95  rows selected
 MSE:  0.8257049 
F-norm sine theta difference:  0.0001487311 
Step  322 
 95  rows selected
 MSE:  0.8257044 
F-norm sine theta difference:  0.0001476148 
Step  323 
 95  rows selected
 MSE:  0.8257039 
F-norm sine theta difference:  0.0001474253 
Step  324 
 95  rows selected
 MSE:  0.8257034 
F-norm sine theta difference:  0.000146719 
Step  325 
 95  rows selected
 MSE:  0.8257029 
F-norm sine theta difference:  0.0001460345 
Step  326 
 95  rows selected
 MSE:  0.8257024 
F-norm sine theta difference:  0.0001453703 
Step  327 
 95  rows selected
 MSE:  0.8257019 
F-norm sine theta difference:  0.0001447312 
Step  328 
 95  rows selected
 MSE:  0.8257014 
F-norm sine theta difference:  0.0001440545 
Step  329 
 95  rows selected
 MSE:  0.8257009 
F-norm sine theta difference:  0.0001434207 
Step  330 
 95  rows selected
 MSE:  0.8257004 
F-norm sine theta difference:  0.0001427427 
Step  331 
 95  rows selected
 MSE:  0.8256999 
F-norm sine theta difference:  0.0001422047 
Step  332 
 95  rows selected
 MSE:  0.8256995 
F-norm sine theta difference:  0.0001415654 
Step  333 
 95  rows selected
 MSE:  0.825699 
F-norm sine theta difference:  0.000140787 
Step  334 
 95  rows selected
 MSE:  0.8256985 
F-norm sine theta difference:  0.0001401715 
Step  335 
 95  rows selected
 MSE:  0.8256981 
F-norm sine theta difference:  0.0001397396 
Step  336 
 95  rows selected
 MSE:  0.8256976 
F-norm sine theta difference:  0.0001389084 
Step  337 
 95  rows selected
 MSE:  0.8256972 
F-norm sine theta difference:  0.0001383122 
Step  338 
 95  rows selected
 MSE:  0.8256967 
F-norm sine theta difference:  0.0001377263 
Step  339 
 95  rows selected
 MSE:  0.8256963 
F-norm sine theta difference:  0.0001370717 
Step  340 
 95  rows selected
 MSE:  0.8256958 
F-norm sine theta difference:  0.0001364595 
Step  341 
 95  rows selected
 MSE:  0.8256954 
F-norm sine theta difference:  0.0001358089 
Step  342 
 95  rows selected
 MSE:  0.825695 
F-norm sine theta difference:  0.0001350966 
Step  343 
 95  rows selected
 MSE:  0.8256945 
F-norm sine theta difference:  0.0001343118 
Step  344 
 95  rows selected
 MSE:  0.8256941 
F-norm sine theta difference:  0.0001340494 
Step  345 
 95  rows selected
 MSE:  0.8256937 
F-norm sine theta difference:  0.0001333636 
Step  346 
 95  rows selected
 MSE:  0.8256933 
F-norm sine theta difference:  0.0001327121 
Step  347 
 95  rows selected
 MSE:  0.8256929 
F-norm sine theta difference:  0.0001322469 
Step  348 
 95  rows selected
 MSE:  0.8256925 
F-norm sine theta difference:  0.000131572 
Step  349 
 95  rows selected
 MSE:  0.8256921 
F-norm sine theta difference:  0.0001310599 
Step  350 
 95  rows selected
 MSE:  0.8256917 
F-norm sine theta difference:  0.0001305123 
Step  351 
 95  rows selected
 MSE:  0.8256913 
F-norm sine theta difference:  0.0001298327 
Step  352 
 95  rows selected
 MSE:  0.8256909 
F-norm sine theta difference:  0.0001294021 
Step  353 
 95  rows selected
 MSE:  0.8256905 
F-norm sine theta difference:  0.0001287398 
Step  354 
 95  rows selected
 MSE:  0.8256901 
F-norm sine theta difference:  0.0001280348 
Step  355 
 95  rows selected
 MSE:  0.8256897 
F-norm sine theta difference:  0.0001276588 
Step  356 
 95  rows selected
 MSE:  0.8256893 
F-norm sine theta difference:  0.0001270899 
Step  357 
 95  rows selected
 MSE:  0.8256889 
F-norm sine theta difference:  0.0001264843 
Step  358 
 95  rows selected
 MSE:  0.8256886 
F-norm sine theta difference:  0.0001259432 
Step  359 
 95  rows selected
 MSE:  0.8256882 
F-norm sine theta difference:  0.0001255695 
Step  360 
 95  rows selected
 MSE:  0.8256878 
F-norm sine theta difference:  0.0001247944 
Step  361 
 95  rows selected
 MSE:  0.8256875 
F-norm sine theta difference:  0.000124369 
Step  362 
 95  rows selected
 MSE:  0.8256871 
F-norm sine theta difference:  0.0001237304 
Step  363 
 95  rows selected
 MSE:  0.8256867 
F-norm sine theta difference:  0.000123106 
Step  364 
 95  rows selected
 MSE:  0.8256864 
F-norm sine theta difference:  0.0001224843 
Step  365 
 95  rows selected
 MSE:  0.825686 
F-norm sine theta difference:  0.000122149 
Step  366 
 95  rows selected
 MSE:  0.8256857 
F-norm sine theta difference:  0.0001216324 
Step  367 
 95  rows selected
 MSE:  0.8256853 
F-norm sine theta difference:  0.0001209831 
Step  368 
 95  rows selected
 MSE:  0.825685 
F-norm sine theta difference:  0.0001206412 
Step  369 
 95  rows selected
 MSE:  0.8256847 
F-norm sine theta difference:  0.0001200356 
Step  370 
 95  rows selected
 MSE:  0.8256843 
F-norm sine theta difference:  0.0001198527 
Step  371 
 95  rows selected
 MSE:  0.825684 
F-norm sine theta difference:  0.0001189614 
Step  372 
 95  rows selected
 MSE:  0.8256837 
F-norm sine theta difference:  0.0001185569 
Step  373 
 95  rows selected
 MSE:  0.8256833 
F-norm sine theta difference:  0.0001179302 
Step  374 
 95  rows selected
 MSE:  0.825683 
F-norm sine theta difference:  0.0001174242 
Step  375 
 95  rows selected
 MSE:  0.8256827 
F-norm sine theta difference:  0.0001168786 
Step  376 
 95  rows selected
 MSE:  0.8256824 
F-norm sine theta difference:  0.000116397 
Step  377 
 95  rows selected
 MSE:  0.825682 
F-norm sine theta difference:  0.0001159226 
Step  378 
 95  rows selected
 MSE:  0.8256817 
F-norm sine theta difference:  0.0001154051 
Step  379 
 95  rows selected
 MSE:  0.8256814 
F-norm sine theta difference:  0.000114902 
Step  380 
 95  rows selected
 MSE:  0.8256811 
F-norm sine theta difference:  0.0001144966 
Step  381 
 95  rows selected
 MSE:  0.8256808 
F-norm sine theta difference:  0.000114328 
Step  382 
 95  rows selected
 MSE:  0.8256805 
F-norm sine theta difference:  0.0001130926 
Step  383 
 95  rows selected
 MSE:  0.8256802 
F-norm sine theta difference:  0.0001129517 
Step  384 
 95  rows selected
 MSE:  0.8256799 
F-norm sine theta difference:  0.0001121419 
Step  385 
 95  rows selected
 MSE:  0.8256796 
F-norm sine theta difference:  0.0001119249 
Step  386 
 95  rows selected
 MSE:  0.8256793 
F-norm sine theta difference:  0.0001114898 
Step  387 
 95  rows selected
 MSE:  0.825679 
F-norm sine theta difference:  0.0001112271 
Step  388 
 95  rows selected
 MSE:  0.8256787 
F-norm sine theta difference:  0.000110455 
Step  389 
 95  rows selected
 MSE:  0.8256784 
F-norm sine theta difference:  0.0001101383 
Step  390 
 95  rows selected
 MSE:  0.8256782 
F-norm sine theta difference:  0.0001095336 
Step  391 
 95  rows selected
 MSE:  0.8256779 
F-norm sine theta difference:  0.0001090575 
Step  392 
 95  rows selected
 MSE:  0.8256776 
F-norm sine theta difference:  0.0001088072 
Step  393 
 95  rows selected
 MSE:  0.8256773 
F-norm sine theta difference:  0.0001081529 
Step  394 
 95  rows selected
 MSE:  0.825677 
F-norm sine theta difference:  0.0001077422 
Step  395 
 95  rows selected
 MSE:  0.8256768 
F-norm sine theta difference:  0.0001070238 
Step  396 
 95  rows selected
 MSE:  0.8256765 
F-norm sine theta difference:  0.0001068318 
Step  397 
 95  rows selected
 MSE:  0.8256762 
F-norm sine theta difference:  0.0001063569 
Step  398 
 95  rows selected
 MSE:  0.825676 
F-norm sine theta difference:  0.0001060075 
Step  399 
 95  rows selected
 MSE:  0.8256757 
F-norm sine theta difference:  0.0001054867 
Step  400 
 95  rows selected
 MSE:  0.8256755 
F-norm sine theta difference:  0.0001049661 
Step  401 
 95  rows selected
 MSE:  0.8256752 
F-norm sine theta difference:  0.0001045986 
Step  402 
 95  rows selected
 MSE:  0.8256749 
F-norm sine theta difference:  0.0001041523 
Step  403 
 95  rows selected
 MSE:  0.8256747 
F-norm sine theta difference:  0.0001037307 
Step  404 
 95  rows selected
 MSE:  0.8256744 
F-norm sine theta difference:  0.0001032596 
Step  405 
 95  rows selected
 MSE:  0.8256742 
F-norm sine theta difference:  0.0001029047 
Step  406 
 95  rows selected
 MSE:  0.8256739 
F-norm sine theta difference:  0.0001025289 
Step  407 
 95  rows selected
 MSE:  0.8256737 
F-norm sine theta difference:  0.0001019856 
Step  408 
 95  rows selected
 MSE:  0.8256734 
F-norm sine theta difference:  0.0001016743 
Step  409 
 95  rows selected
 MSE:  0.8256732 
F-norm sine theta difference:  0.0001010771 
Step  410 
 95  rows selected
 MSE:  0.825673 
F-norm sine theta difference:  0.000100875 
Step  411 
 95  rows selected
 MSE:  0.8256727 
F-norm sine theta difference:  0.0001002758 
Step  412 
 95  rows selected
 MSE:  0.8256725 
F-norm sine theta difference:  9.977492e-05 
Step  413 
 95  rows selected
 MSE:  0.8256723 
F-norm sine theta difference:  9.94177e-05 
Step  414 
 95  rows selected
 MSE:  0.825672 
F-norm sine theta difference:  9.899891e-05 
Step  415 
 95  rows selected
 MSE:  0.8256718 
F-norm sine theta difference:  9.857399e-05 
Step  416 
 95  rows selected
 MSE:  0.8256716 
F-norm sine theta difference:  9.825503e-05 
Step  417 
 95  rows selected
 MSE:  0.8256713 
F-norm sine theta difference:  9.770758e-05 
Step  418 
 95  rows selected
 MSE:  0.8256711 
F-norm sine theta difference:  9.733828e-05 
Step  419 
 95  rows selected
 MSE:  0.8256709 
F-norm sine theta difference:  9.694372e-05 
Step  420 
 95  rows selected
 MSE:  0.8256707 
F-norm sine theta difference:  9.662884e-05 
Step  421 
 95  rows selected
 MSE:  0.8256705 
F-norm sine theta difference:  9.615613e-05 
Step  422 
 95  rows selected
 MSE:  0.8256702 
F-norm sine theta difference:  9.571132e-05 
Step  423 
 95  rows selected
 MSE:  0.82567 
F-norm sine theta difference:  9.533109e-05 
Step  424 
 95  rows selected
 MSE:  0.8256698 
F-norm sine theta difference:  9.487577e-05 
Step  425 
 95  rows selected
 MSE:  0.8256696 
F-norm sine theta difference:  9.453857e-05 
Step  426 
 95  rows selected
 MSE:  0.8256694 
F-norm sine theta difference:  9.421103e-05 
Step  427 
 95  rows selected
 MSE:  0.8256692 
F-norm sine theta difference:  9.36817e-05 
Step  428 
 95  rows selected
 MSE:  0.825669 
F-norm sine theta difference:  9.346855e-05 
Step  429 
 95  rows selected
 MSE:  0.8256688 
F-norm sine theta difference:  9.29769e-05 
Step  430 
 95  rows selected
 MSE:  0.8256686 
F-norm sine theta difference:  9.258635e-05 
Step  431 
 95  rows selected
 MSE:  0.8256684 
F-norm sine theta difference:  9.222068e-05 
Step  432 
 95  rows selected
 MSE:  0.8256682 
F-norm sine theta difference:  9.182378e-05 
Step  433 
 95  rows selected
 MSE:  0.825668 
F-norm sine theta difference:  9.135937e-05 
Step  434 
 95  rows selected
 MSE:  0.8256678 
F-norm sine theta difference:  9.109015e-05 
Step  435 
 95  rows selected
 MSE:  0.8256676 
F-norm sine theta difference:  9.071613e-05 
Step  436 
 95  rows selected
 MSE:  0.8256674 
F-norm sine theta difference:  9.039051e-05 
Step  437 
 95  rows selected
 MSE:  0.8256672 
F-norm sine theta difference:  9.024749e-05 
Step  438 
 95  rows selected
 MSE:  0.825667 
F-norm sine theta difference:  8.963754e-05 
Step  439 
 95  rows selected
 MSE:  0.8256668 
F-norm sine theta difference:  8.919678e-05 
Step  440 
 95  rows selected
 MSE:  0.8256666 
F-norm sine theta difference:  8.880645e-05 
Step  441 
 95  rows selected
 MSE:  0.8256664 
F-norm sine theta difference:  8.842355e-05 
Step  442 
 95  rows selected
 MSE:  0.8256663 
F-norm sine theta difference:  8.814344e-05 
Step  443 
 95  rows selected
 MSE:  0.8256661 
F-norm sine theta difference:  8.775789e-05 
Step  444 
 95  rows selected
 MSE:  0.8256659 
F-norm sine theta difference:  8.755458e-05 
Step  445 
 95  rows selected
 MSE:  0.8256657 
F-norm sine theta difference:  8.705279e-05 
Step  446 
 95  rows selected
 MSE:  0.8256655 
F-norm sine theta difference:  8.661434e-05 
Step  447 
 95  rows selected
 MSE:  0.8256654 
F-norm sine theta difference:  8.62819e-05 
Step  448 
 95  rows selected
 MSE:  0.8256652 
F-norm sine theta difference:  8.603232e-05 
Step  449 
 95  rows selected
 MSE:  0.825665 
F-norm sine theta difference:  8.55293e-05 
Step  450 
 95  rows selected
 MSE:  0.8256648 
F-norm sine theta difference:  8.535e-05 
Step  451 
 95  rows selected
 MSE:  0.8256647 
F-norm sine theta difference:  8.486579e-05 
Step  452 
 95  rows selected
 MSE:  0.8256645 
F-norm sine theta difference:  8.447875e-05 
Step  453 
 95  rows selected
 MSE:  0.8256643 
F-norm sine theta difference:  8.432826e-05 
Step  454 
 95  rows selected
 MSE:  0.8256642 
F-norm sine theta difference:  8.384059e-05 
Step  455 
 95  rows selected
 MSE:  0.825664 
F-norm sine theta difference:  8.362331e-05 
Step  456 
 95  rows selected
 MSE:  0.8256638 
F-norm sine theta difference:  8.315752e-05 
Step  457 
 95  rows selected
 MSE:  0.8256637 
F-norm sine theta difference:  8.278577e-05 
Step  458 
 95  rows selected
 MSE:  0.8256635 
F-norm sine theta difference:  8.250129e-05 
Step  459 
 95  rows selected
 MSE:  0.8256634 
F-norm sine theta difference:  8.212587e-05 
Step  460 
 95  rows selected
 MSE:  0.8256632 
F-norm sine theta difference:  8.172167e-05 
Step  461 
 95  rows selected
 MSE:  0.825663 
F-norm sine theta difference:  8.144624e-05 
Step  462 
 95  rows selected
 MSE:  0.8256629 
F-norm sine theta difference:  8.114667e-05 
Step  463 
 95  rows selected
 MSE:  0.8256627 
F-norm sine theta difference:  8.081503e-05 
Step  464 
 95  rows selected
 MSE:  0.8256626 
F-norm sine theta difference:  8.042583e-05 
Step  465 
 95  rows selected
 MSE:  0.8256624 
F-norm sine theta difference:  8.015171e-05 
Step  466 
 95  rows selected
 MSE:  0.8256623 
F-norm sine theta difference:  7.954132e-05 
Step  467 
 95  rows selected
 MSE:  0.8256621 
F-norm sine theta difference:  7.950013e-05 
Step  468 
 95  rows selected
 MSE:  0.825662 
F-norm sine theta difference:  7.916763e-05 
Step  469 
 95  rows selected
 MSE:  0.8256618 
F-norm sine theta difference:  7.884255e-05 
Step  470 
 95  rows selected
 MSE:  0.8256617 
F-norm sine theta difference:  7.856276e-05 
Step  471 
 95  rows selected
 MSE:  0.8256615 
F-norm sine theta difference:  7.834646e-05 
Step  472 
 95  rows selected
 MSE:  0.8256614 
F-norm sine theta difference:  7.790639e-05 
Step  473 
 95  rows selected
 MSE:  0.8256613 
F-norm sine theta difference:  7.761137e-05 
Step  474 
 95  rows selected
 MSE:  0.8256611 
F-norm sine theta difference:  7.72749e-05 
Step  475 
 95  rows selected
 MSE:  0.825661 
F-norm sine theta difference:  7.691553e-05 
Step  476 
 95  rows selected
 MSE:  0.8256608 
F-norm sine theta difference:  7.672836e-05 
Step  477 
 95  rows selected
 MSE:  0.8256607 
F-norm sine theta difference:  7.648731e-05 
Step  478 
 95  rows selected
 MSE:  0.8256606 
F-norm sine theta difference:  7.597904e-05 
Step  479 
 95  rows selected
 MSE:  0.8256604 
F-norm sine theta difference:  7.570769e-05 
Step  480 
 95  rows selected
 MSE:  0.8256603 
F-norm sine theta difference:  7.545688e-05 
Step  481 
 95  rows selected
 MSE:  0.8256602 
F-norm sine theta difference:  7.51474e-05 
Step  482 
 95  rows selected
 MSE:  0.82566 
F-norm sine theta difference:  7.478396e-05 
Step  483 
 95  rows selected
 MSE:  0.8256599 
F-norm sine theta difference:  7.448633e-05 
Step  484 
 95  rows selected
 MSE:  0.8256598 
F-norm sine theta difference:  7.420817e-05 
Step  485 
 95  rows selected
 MSE:  0.8256596 
F-norm sine theta difference:  7.389702e-05 
Step  486 
 95  rows selected
 MSE:  0.8256595 
F-norm sine theta difference:  7.359179e-05 
Step  487 
 95  rows selected
 MSE:  0.8256594 
F-norm sine theta difference:  7.329185e-05 
Step  488 
 95  rows selected
 MSE:  0.8256593 
F-norm sine theta difference:  7.300031e-05 
Step  489 
 95  rows selected
 MSE:  0.8256591 
F-norm sine theta difference:  7.267927e-05 
Step  490 
 95  rows selected
 MSE:  0.825659 
F-norm sine theta difference:  7.242278e-05 
Step  491 
 95  rows selected
 MSE:  0.8256589 
F-norm sine theta difference:  7.218228e-05 
Step  492 
 95  rows selected
 MSE:  0.8256588 
F-norm sine theta difference:  7.199076e-05 
Step  493 
 95  rows selected
 MSE:  0.8256586 
F-norm sine theta difference:  7.16597e-05 
Step  494 
 95  rows selected
 MSE:  0.8256585 
F-norm sine theta difference:  7.127012e-05 
Step  495 
 95  rows selected
 MSE:  0.8256584 
F-norm sine theta difference:  7.095988e-05 
Step  496 
 95  rows selected
 MSE:  0.8256583 
F-norm sine theta difference:  7.065328e-05 
Step  497 
 95  rows selected
 MSE:  0.8256582 
F-norm sine theta difference:  7.040671e-05 
Step  498 
 95  rows selected
 MSE:  0.825658 
F-norm sine theta difference:  7.005797e-05 
Step  499 
 95  rows selected
 MSE:  0.8256579 
F-norm sine theta difference:  6.966397e-05 
Step  500 
 95  rows selected
 MSE:  0.8256578 
F-norm sine theta difference:  6.952906e-05 
Step  501 
 95  rows selected
 MSE:  0.8256577 
F-norm sine theta difference:  6.937239e-05 
Step  502 
 95  rows selected
 MSE:  0.8256576 
F-norm sine theta difference:  6.899887e-05 
Step  503 
 95  rows selected
 MSE:  0.8256575 
F-norm sine theta difference:  6.873188e-05 
Step  504 
 95  rows selected
 MSE:  0.8256574 
F-norm sine theta difference:  6.8413e-05 
Step  505 
 95  rows selected
 MSE:  0.8256573 
F-norm sine theta difference:  6.81102e-05 
Step  506 
 95  rows selected
 MSE:  0.8256572 
F-norm sine theta difference:  6.780793e-05 
Step  507 
 95  rows selected
 MSE:  0.825657 
F-norm sine theta difference:  6.763736e-05 
Step  508 
 95  rows selected
 MSE:  0.8256569 
F-norm sine theta difference:  6.75654e-05 
Step  509 
 95  rows selected
 MSE:  0.8256568 
F-norm sine theta difference:  6.705227e-05 
Step  510 
 95  rows selected
 MSE:  0.8256567 
F-norm sine theta difference:  6.679475e-05 
Step  511 
 95  rows selected
 MSE:  0.8256566 
F-norm sine theta difference:  6.6495e-05 
Step  512 
 95  rows selected
 MSE:  0.8256565 
F-norm sine theta difference:  6.626112e-05 
Step  513 
 95  rows selected
 MSE:  0.8256564 
F-norm sine theta difference:  6.630184e-05 
Step  514 
 95  rows selected
 MSE:  0.8256563 
F-norm sine theta difference:  6.638131e-05 
Step  515 
 95  rows selected
 MSE:  0.8256562 
F-norm sine theta difference:  6.599702e-05 
Step  516 
 95  rows selected
 MSE:  0.8256561 
F-norm sine theta difference:  6.523292e-05 
Step  517 
 95  rows selected
 MSE:  0.825656 
F-norm sine theta difference:  6.495081e-05 
Step  518 
 95  rows selected
 MSE:  0.8256559 
F-norm sine theta difference:  6.469742e-05 
Step  519 
 95  rows selected
 MSE:  0.8256558 
F-norm sine theta difference:  6.452314e-05 
Step  520 
 95  rows selected
 MSE:  0.8256557 
F-norm sine theta difference:  6.422735e-05 
Step  521 
 95  rows selected
 MSE:  0.8256556 
F-norm sine theta difference:  6.377226e-05 
Step  522 
 95  rows selected
 MSE:  0.8256555 
F-norm sine theta difference:  6.362916e-05 
Step  523 
 95  rows selected
 MSE:  0.8256554 
F-norm sine theta difference:  6.337672e-05 
Step  524 
 95  rows selected
 MSE:  0.8256553 
F-norm sine theta difference:  6.315652e-05 
Step  525 
 95  rows selected
 MSE:  0.8256552 
F-norm sine theta difference:  6.303869e-05 
Step  526 
 95  rows selected
 MSE:  0.8256551 
F-norm sine theta difference:  6.274207e-05 
Step  527 
 95  rows selected
 MSE:  0.825655 
F-norm sine theta difference:  6.237384e-05 
Step  528 
 95  rows selected
 MSE:  0.825655 
F-norm sine theta difference:  6.21831e-05 
Step  529 
 95  rows selected
 MSE:  0.8256549 
F-norm sine theta difference:  6.192964e-05 
Step  530 
 95  rows selected
 MSE:  0.8256548 
F-norm sine theta difference:  6.160623e-05 
Step  531 
 95  rows selected
 MSE:  0.8256547 
F-norm sine theta difference:  6.141891e-05 
Step  532 
 95  rows selected
 MSE:  0.8256546 
F-norm sine theta difference:  6.1156e-05 
Step  533 
 95  rows selected
 MSE:  0.8256545 
F-norm sine theta difference:  6.094189e-05 
Step  534 
 95  rows selected
 MSE:  0.8256544 
F-norm sine theta difference:  6.070868e-05 
Step  535 
 95  rows selected
 MSE:  0.8256543 
F-norm sine theta difference:  6.041814e-05 
Step  536 
 95  rows selected
 MSE:  0.8256543 
F-norm sine theta difference:  6.020944e-05 
Step  537 
 95  rows selected
 MSE:  0.8256542 
F-norm sine theta difference:  5.99407e-05 
Step  538 
 95  rows selected
 MSE:  0.8256541 
F-norm sine theta difference:  5.997761e-05 
Step  539 
 95  rows selected
 MSE:  0.825654 
F-norm sine theta difference:  5.955179e-05 
Step  540 
 95  rows selected
 MSE:  0.8256539 
F-norm sine theta difference:  5.925044e-05 
Step  541 
 95  rows selected
 MSE:  0.8256538 
F-norm sine theta difference:  5.885425e-05 
Step  542 
 95  rows selected
 MSE:  0.8256538 
F-norm sine theta difference:  5.879673e-05 
Step  543 
 95  rows selected
 MSE:  0.8256537 
F-norm sine theta difference:  5.856468e-05 
Step  544 
 95  rows selected
 MSE:  0.8256536 
F-norm sine theta difference:  5.831534e-05 
Step  545 
 95  rows selected
 MSE:  0.8256535 
F-norm sine theta difference:  5.818555e-05 
Step  546 
 95  rows selected
 MSE:  0.8256534 
F-norm sine theta difference:  5.786746e-05 
Step  547 
 95  rows selected
 MSE:  0.8256534 
F-norm sine theta difference:  5.761341e-05 
Step  548 
 95  rows selected
 MSE:  0.8256533 
F-norm sine theta difference:  5.740426e-05 
Step  549 
 95  rows selected
 MSE:  0.8256532 
F-norm sine theta difference:  5.721956e-05 
Step  550 
 95  rows selected
 MSE:  0.8256531 
F-norm sine theta difference:  5.697456e-05 
Step  551 
 95  rows selected
 MSE:  0.825653 
F-norm sine theta difference:  5.678484e-05 
Step  552 
 95  rows selected
 MSE:  0.825653 
F-norm sine theta difference:  5.648806e-05 
Step  553 
 95  rows selected
 MSE:  0.8256529 
F-norm sine theta difference:  5.651402e-05 
Step  554 
 95  rows selected
 MSE:  0.8256528 
F-norm sine theta difference:  5.608625e-05 
Step  555 
 95  rows selected
 MSE:  0.8256527 
F-norm sine theta difference:  5.586e-05 
Step  556 
 95  rows selected
 MSE:  0.8256527 
F-norm sine theta difference:  5.574621e-05 
Step  557 
 95  rows selected
 MSE:  0.8256526 
F-norm sine theta difference:  5.537042e-05 
Step  558 
 95  rows selected
 MSE:  0.8256525 
F-norm sine theta difference:  5.523162e-05 
Step  559 
 95  rows selected
 MSE:  0.8256525 
F-norm sine theta difference:  5.501034e-05 
Step  560 
 95  rows selected
 MSE:  0.8256524 
F-norm sine theta difference:  5.475209e-05 
Step  561 
 95  rows selected
 MSE:  0.8256523 
F-norm sine theta difference:  5.450813e-05 
Step  562 
 95  rows selected
 MSE:  0.8256522 
F-norm sine theta difference:  5.428102e-05 
Step  563 
 95  rows selected
 MSE:  0.8256522 
F-norm sine theta difference:  5.409525e-05 
Step  564 
 95  rows selected
 MSE:  0.8256521 
F-norm sine theta difference:  5.393784e-05 
Step  565 
 95  rows selected
 MSE:  0.825652 
F-norm sine theta difference:  5.368826e-05 
Step  566 
 95  rows selected
 MSE:  0.825652 
F-norm sine theta difference:  5.35881e-05 
Step  567 
 95  rows selected
 MSE:  0.8256519 
F-norm sine theta difference:  5.333254e-05 
Step  568 
 95  rows selected
 MSE:  0.8256518 
F-norm sine theta difference:  5.316686e-05 
Step  569 
 95  rows selected
 MSE:  0.8256518 
F-norm sine theta difference:  5.289407e-05 
Step  570 
 95  rows selected
 MSE:  0.8256517 
F-norm sine theta difference:  5.259904e-05 
Step  571 
 95  rows selected
 MSE:  0.8256516 
F-norm sine theta difference:  5.239736e-05 
Step  572 
 95  rows selected
 MSE:  0.8256516 
F-norm sine theta difference:  5.232478e-05 
Step  573 
 95  rows selected
 MSE:  0.8256515 
F-norm sine theta difference:  5.202119e-05 
Step  574 
 95  rows selected
 MSE:  0.8256514 
F-norm sine theta difference:  5.165276e-05 
Step  575 
 95  rows selected
 MSE:  0.8256514 
F-norm sine theta difference:  5.161355e-05 
Step  576 
 95  rows selected
 MSE:  0.8256513 
F-norm sine theta difference:  5.149229e-05 
Step  577 
 95  rows selected
 MSE:  0.8256513 
F-norm sine theta difference:  5.12836e-05 
Step  578 
 95  rows selected
 MSE:  0.8256512 
F-norm sine theta difference:  5.095108e-05 
Step  579 
 95  rows selected
 MSE:  0.8256511 
F-norm sine theta difference:  5.081377e-05 
Step  580 
 95  rows selected
 MSE:  0.8256511 
F-norm sine theta difference:  5.061581e-05 
Step  581 
 95  rows selected
 MSE:  0.825651 
F-norm sine theta difference:  5.041995e-05 
Step  582 
 95  rows selected
 MSE:  0.825651 
F-norm sine theta difference:  5.022473e-05 
Step  583 
 95  rows selected
 MSE:  0.8256509 
F-norm sine theta difference:  5.006095e-05 
Step  584 
 95  rows selected
 MSE:  0.8256508 
F-norm sine theta difference:  4.977391e-05 
Step  585 
 95  rows selected
 MSE:  0.8256508 
F-norm sine theta difference:  4.965652e-05 
Step  586 
 95  rows selected
 MSE:  0.8256507 
F-norm sine theta difference:  4.941508e-05 
Step  587 
 95  rows selected
 MSE:  0.8256507 
F-norm sine theta difference:  4.92789e-05 
Step  588 
 95  rows selected
 MSE:  0.8256506 
F-norm sine theta difference:  4.903527e-05 
Step  589 
 95  rows selected
 MSE:  0.8256505 
F-norm sine theta difference:  4.88537e-05 
Step  590 
 95  rows selected
 MSE:  0.8256505 
F-norm sine theta difference:  4.864319e-05 
Step  591 
 95  rows selected
 MSE:  0.8256504 
F-norm sine theta difference:  4.872651e-05 
Step  592 
 95  rows selected
 MSE:  0.8256504 
F-norm sine theta difference:  4.820134e-05 
Step  593 
 95  rows selected
 MSE:  0.8256503 
F-norm sine theta difference:  4.811053e-05 
Step  594 
 95  rows selected
 MSE:  0.8256503 
F-norm sine theta difference:  4.786285e-05 
Step  595 
 95  rows selected
 MSE:  0.8256502 
F-norm sine theta difference:  4.783943e-05 
Step  596 
 95  rows selected
 MSE:  0.8256502 
F-norm sine theta difference:  4.756127e-05 
Step  597 
 95  rows selected
 MSE:  0.8256501 
F-norm sine theta difference:  4.729591e-05 
Step  598 
 95  rows selected
 MSE:  0.8256501 
F-norm sine theta difference:  4.715687e-05 
Step  599 
 95  rows selected
 MSE:  0.82565 
F-norm sine theta difference:  4.696087e-05 
Step  600 
 95  rows selected
 MSE:  0.82565 
F-norm sine theta difference:  4.687544e-05 
Step  601 
 95  rows selected
 MSE:  0.8256499 
F-norm sine theta difference:  4.662578e-05 
Step  602 
 95  rows selected
 MSE:  0.8256499 
F-norm sine theta difference:  4.669784e-05 
Step  603 
 95  rows selected
 MSE:  0.8256498 
F-norm sine theta difference:  4.623646e-05 
Step  604 
 95  rows selected
 MSE:  0.8256497 
F-norm sine theta difference:  4.606551e-05 
Step  605 
 95  rows selected
 MSE:  0.8256497 
F-norm sine theta difference:  4.593126e-05 
Step  606 
 95  rows selected
 MSE:  0.8256497 
F-norm sine theta difference:  4.569858e-05 
Step  607 
 95  rows selected
 MSE:  0.8256496 
F-norm sine theta difference:  4.552974e-05 
Step  608 
 95  rows selected
 MSE:  0.8256496 
F-norm sine theta difference:  4.531296e-05 
Step  609 
 95  rows selected
 MSE:  0.8256495 
F-norm sine theta difference:  4.518843e-05 
Step  610 
 95  rows selected
 MSE:  0.8256495 
F-norm sine theta difference:  4.500671e-05 
Step  611 
 95  rows selected
 MSE:  0.8256494 
F-norm sine theta difference:  4.486769e-05 
Step  612 
 95  rows selected
 MSE:  0.8256494 
F-norm sine theta difference:  4.514465e-05 
Step  613 
 95  rows selected
 MSE:  0.8256493 
F-norm sine theta difference:  4.449459e-05 
Step  614 
 95  rows selected
 MSE:  0.8256493 
F-norm sine theta difference:  4.430619e-05 
Step  615 
 95  rows selected
 MSE:  0.8256492 
F-norm sine theta difference:  4.413427e-05 
Step  616 
 95  rows selected
 MSE:  0.8256492 
F-norm sine theta difference:  4.397417e-05 
Step  617 
 95  rows selected
 MSE:  0.8256491 
F-norm sine theta difference:  4.383749e-05 
Step  618 
 95  rows selected
 MSE:  0.8256491 
F-norm sine theta difference:  4.36444e-05 
Step  619 
 95  rows selected
 MSE:  0.825649 
F-norm sine theta difference:  4.344986e-05 
Step  620 
 95  rows selected
 MSE:  0.825649 
F-norm sine theta difference:  4.340483e-05 
Step  621 
 95  rows selected
 MSE:  0.825649 
F-norm sine theta difference:  4.330949e-05 
Step  622 
 95  rows selected
 MSE:  0.8256489 
F-norm sine theta difference:  4.301242e-05 
Step  623 
 95  rows selected
 MSE:  0.8256489 
F-norm sine theta difference:  4.278204e-05 
Step  624 
 95  rows selected
 MSE:  0.8256488 
F-norm sine theta difference:  4.260014e-05 
Step  625 
 95  rows selected
 MSE:  0.8256488 
F-norm sine theta difference:  4.250106e-05 
Step  626 
 95  rows selected
 MSE:  0.8256487 
F-norm sine theta difference:  4.228561e-05 
Step  627 
 95  rows selected
 MSE:  0.8256487 
F-norm sine theta difference:  4.235064e-05 
Step  628 
 95  rows selected
 MSE:  0.8256487 
F-norm sine theta difference:  4.196614e-05 
Step  629 
 95  rows selected
 MSE:  0.8256486 
F-norm sine theta difference:  4.179888e-05 
Step  630 
 95  rows selected
 MSE:  0.8256486 
F-norm sine theta difference:  4.165218e-05 
Step  631 
 95  rows selected
 MSE:  0.8256485 
F-norm sine theta difference:  4.151588e-05 
Step  632 
 95  rows selected
 MSE:  0.8256485 
F-norm sine theta difference:  4.161031e-05 
Step  633 
 95  rows selected
 MSE:  0.8256484 
F-norm sine theta difference:  4.116344e-05 
Step  634 
 95  rows selected
 MSE:  0.8256484 
F-norm sine theta difference:  4.113829e-05 
Step  635 
 95  rows selected
 MSE:  0.8256484 
F-norm sine theta difference:  4.09137e-05 
Step  636 
 95  rows selected
 MSE:  0.8256483 
F-norm sine theta difference:  4.066656e-05 
Step  637 
 95  rows selected
 MSE:  0.8256483 
F-norm sine theta difference:  4.058779e-05 
Step  638 
 95  rows selected
 MSE:  0.8256483 
F-norm sine theta difference:  4.039517e-05 
Step  639 
 95  rows selected
 MSE:  0.8256482 
F-norm sine theta difference:  4.025193e-05 
Step  640 
 95  rows selected
 MSE:  0.8256482 
F-norm sine theta difference:  4.007641e-05 
Step  641 
 95  rows selected
 MSE:  0.8256481 
F-norm sine theta difference:  4.011369e-05 
Step  642 
 95  rows selected
 MSE:  0.8256481 
F-norm sine theta difference:  3.977465e-05 
Step  643 
 95  rows selected
 MSE:  0.8256481 
F-norm sine theta difference:  3.972659e-05 
Step  644 
 95  rows selected
 MSE:  0.825648 
F-norm sine theta difference:  3.936322e-05 
Step  645 
 95  rows selected
 MSE:  0.825648 
F-norm sine theta difference:  3.930772e-05 
Step  646 
 95  rows selected
 MSE:  0.825648 
F-norm sine theta difference:  3.912629e-05 
Step  647 
 95  rows selected
 MSE:  0.8256479 
F-norm sine theta difference:  3.911903e-05 
Step  648 
 95  rows selected
 MSE:  0.8256479 
F-norm sine theta difference:  3.884213e-05 
Step  649 
 95  rows selected
 MSE:  0.8256478 
F-norm sine theta difference:  3.895223e-05 
Step  650 
 95  rows selected
 MSE:  0.8256478 
F-norm sine theta difference:  3.851753e-05 
Step  651 
 95  rows selected
 MSE:  0.8256478 
F-norm sine theta difference:  3.833038e-05 
Step  652 
 95  rows selected
 MSE:  0.8256477 
F-norm sine theta difference:  3.826268e-05 
Step  653 
 95  rows selected
 MSE:  0.8256477 
F-norm sine theta difference:  3.807723e-05 
Step  654 
 95  rows selected
 MSE:  0.8256477 
F-norm sine theta difference:  3.791726e-05 
Step  655 
 95  rows selected
 MSE:  0.8256476 
F-norm sine theta difference:  3.784862e-05 
Step  656 
 95  rows selected
 MSE:  0.8256476 
F-norm sine theta difference:  3.766732e-05 
Step  657 
 95  rows selected
 MSE:  0.8256476 
F-norm sine theta difference:  3.763399e-05 
Step  658 
 95  rows selected
 MSE:  0.8256475 
F-norm sine theta difference:  3.736049e-05 
Step  659 
 95  rows selected
 MSE:  0.8256475 
F-norm sine theta difference:  3.748386e-05 
Step  660 
 95  rows selected
 MSE:  0.8256475 
F-norm sine theta difference:  3.712707e-05 
Step  661 
 95  rows selected
 MSE:  0.8256474 
F-norm sine theta difference:  3.699419e-05 
Step  662 
 95  rows selected
 MSE:  0.8256474 
F-norm sine theta difference:  3.71917e-05 
Step  663 
 95  rows selected
 MSE:  0.8256474 
F-norm sine theta difference:  3.66456e-05 
Step  664 
 95  rows selected
 MSE:  0.8256473 
F-norm sine theta difference:  3.654214e-05 
Step  665 
 95  rows selected
 MSE:  0.8256473 
F-norm sine theta difference:  3.648028e-05 
Step  666 
 95  rows selected
 MSE:  0.8256473 
F-norm sine theta difference:  3.627264e-05 
Step  667 
 95  rows selected
 MSE:  0.8256473 
F-norm sine theta difference:  3.618172e-05 
Step  668 
 95  rows selected
 MSE:  0.8256472 
F-norm sine theta difference:  3.597718e-05 
Step  669 
 95  rows selected
 MSE:  0.8256472 
F-norm sine theta difference:  3.58015e-05 
Step  670 
 95  rows selected
 MSE:  0.8256472 
F-norm sine theta difference:  3.563521e-05 
Step  671 
 95  rows selected
 MSE:  0.8256471 
F-norm sine theta difference:  3.541358e-05 
Step  672 
 95  rows selected
 MSE:  0.8256471 
F-norm sine theta difference:  3.544993e-05 
Step  673 
 95  rows selected
 MSE:  0.8256471 
F-norm sine theta difference:  3.525975e-05 
Step  674 
 95  rows selected
 MSE:  0.825647 
F-norm sine theta difference:  3.521011e-05 
Step  675 
 95  rows selected
 MSE:  0.825647 
F-norm sine theta difference:  3.495998e-05 
Step  676 
 95  rows selected
 MSE:  0.825647 
F-norm sine theta difference:  3.484206e-05 
Step  677 
 95  rows selected
 MSE:  0.825647 
F-norm sine theta difference:  3.465393e-05 
Step  678 
 95  rows selected
 MSE:  0.8256469 
F-norm sine theta difference:  3.487776e-05 
Step  679 
 95  rows selected
 MSE:  0.8256469 
F-norm sine theta difference:  3.438369e-05 
Step  680 
 95  rows selected
 MSE:  0.8256469 
F-norm sine theta difference:  3.441083e-05 
Step  681 
 95  rows selected
 MSE:  0.8256468 
F-norm sine theta difference:  3.420926e-05 
Step  682 
 95  rows selected
 MSE:  0.8256468 
F-norm sine theta difference:  3.39765e-05 
Step  683 
 95  rows selected
 MSE:  0.8256468 
F-norm sine theta difference:  3.391382e-05 
Step  684 
 95  rows selected
 MSE:  0.8256468 
F-norm sine theta difference:  3.3798e-05 
Step  685 
 95  rows selected
 MSE:  0.8256467 
F-norm sine theta difference:  3.364429e-05 
Step  686 
 95  rows selected
 MSE:  0.8256467 
F-norm sine theta difference:  3.370395e-05 
Step  687 
 95  rows selected
 MSE:  0.8256467 
F-norm sine theta difference:  3.382756e-05 
Step  688 
 95  rows selected
 MSE:  0.8256467 
F-norm sine theta difference:  3.327838e-05 
Step  689 
 95  rows selected
 MSE:  0.8256466 
F-norm sine theta difference:  3.319121e-05 
Step  690 
 95  rows selected
 MSE:  0.8256466 
F-norm sine theta difference:  3.317401e-05 
Step  691 
 95  rows selected
 MSE:  0.8256466 
F-norm sine theta difference:  3.285978e-05 
Step  692 
 95  rows selected
 MSE:  0.8256466 
F-norm sine theta difference:  3.285587e-05 
Step  693 
 95  rows selected
 MSE:  0.8256465 
F-norm sine theta difference:  3.266347e-05 
Step  694 
 95  rows selected
 MSE:  0.8256465 
F-norm sine theta difference:  3.24931e-05 
Step  695 
 95  rows selected
 MSE:  0.8256465 
F-norm sine theta difference:  3.237935e-05 
Step  696 
 95  rows selected
 MSE:  0.8256465 
F-norm sine theta difference:  3.238575e-05 
Step  697 
 95  rows selected
 MSE:  0.8256464 
F-norm sine theta difference:  3.217011e-05 
Step  698 
 95  rows selected
 MSE:  0.8256464 
F-norm sine theta difference:  3.202545e-05 
Step  699 
 95  rows selected
 MSE:  0.8256464 
F-norm sine theta difference:  3.184334e-05 
Step  700 
 95  rows selected
 MSE:  0.8256464 
F-norm sine theta difference:  3.185274e-05 
Step  701 
 95  rows selected
 MSE:  0.8256463 
F-norm sine theta difference:  3.168534e-05 
Step  702 
 95  rows selected
 MSE:  0.8256463 
F-norm sine theta difference:  3.173035e-05 
Step  703 
 95  rows selected
 MSE:  0.8256463 
F-norm sine theta difference:  3.130711e-05 
Step  704 
 95  rows selected
 MSE:  0.8256463 
F-norm sine theta difference:  3.127352e-05 
Step  705 
 95  rows selected
 MSE:  0.8256462 
F-norm sine theta difference:  3.170045e-05 
Step  706 
 95  rows selected
 MSE:  0.8256462 
F-norm sine theta difference:  3.10485e-05 
Step  707 
 95  rows selected
 MSE:  0.8256462 
F-norm sine theta difference:  3.094239e-05 
Step  708 
 95  rows selected
 MSE:  0.8256462 
F-norm sine theta difference:  3.095082e-05 
Step  709 
 95  rows selected
 MSE:  0.8256461 
F-norm sine theta difference:  3.075951e-05 
Step  710 
 95  rows selected
 MSE:  0.8256461 
F-norm sine theta difference:  3.050095e-05 
Step  711 
 95  rows selected
 MSE:  0.8256461 
F-norm sine theta difference:  3.059445e-05 
Step  712 
 95  rows selected
 MSE:  0.8256461 
F-norm sine theta difference:  3.034997e-05 
Step  713 
 95  rows selected
 MSE:  0.8256461 
F-norm sine theta difference:  3.046994e-05 
Step  714 
 95  rows selected
 MSE:  0.825646 
F-norm sine theta difference:  3.016925e-05 
Step  715 
 95  rows selected
 MSE:  0.825646 
F-norm sine theta difference:  2.996141e-05 
Step  716 
 95  rows selected
 MSE:  0.825646 
F-norm sine theta difference:  2.982638e-05 
Step  717 
 95  rows selected
 MSE:  0.825646 
F-norm sine theta difference:  2.996106e-05 
Step  718 
 95  rows selected
 MSE:  0.825646 
F-norm sine theta difference:  2.977609e-05 
Step  719 
 95  rows selected
 MSE:  0.8256459 
F-norm sine theta difference:  3.01042e-05 
Step  720 
 95  rows selected
 MSE:  0.8256459 
F-norm sine theta difference:  2.948592e-05 
Step  721 
 95  rows selected
 MSE:  0.8256459 
F-norm sine theta difference:  2.930986e-05 
Step  722 
 95  rows selected
 MSE:  0.8256459 
F-norm sine theta difference:  2.948929e-05 
Step  723 
 95  rows selected
 MSE:  0.8256459 
F-norm sine theta difference:  2.911131e-05 
Step  724 
 95  rows selected
 MSE:  0.8256458 
F-norm sine theta difference:  2.897246e-05 
Step  725 
 95  rows selected
 MSE:  0.8256458 
F-norm sine theta difference:  2.884428e-05 
Step  726 
 95  rows selected
 MSE:  0.8256458 
F-norm sine theta difference:  2.90867e-05 
Step  727 
 95  rows selected
 MSE:  0.8256458 
F-norm sine theta difference:  2.876142e-05 
Step  728 
 95  rows selected
 MSE:  0.8256458 
F-norm sine theta difference:  2.87965e-05 
Step  729 
 95  rows selected
 MSE:  0.8256457 
F-norm sine theta difference:  2.834951e-05 
Step  730 
 95  rows selected
 MSE:  0.8256457 
F-norm sine theta difference:  2.831059e-05 
Step  731 
 95  rows selected
 MSE:  0.8256457 
F-norm sine theta difference:  2.843115e-05 
Step  732 
 95  rows selected
 MSE:  0.8256457 
F-norm sine theta difference:  2.808682e-05 
Step  733 
 95  rows selected
 MSE:  0.8256457 
F-norm sine theta difference:  2.801924e-05 
Step  734 
 95  rows selected
 MSE:  0.8256456 
F-norm sine theta difference:  2.797572e-05 
Step  735 
 95  rows selected
 MSE:  0.8256456 
F-norm sine theta difference:  2.777256e-05 
Step  736 
 95  rows selected
 MSE:  0.8256456 
F-norm sine theta difference:  2.775397e-05 
Step  737 
 95  rows selected
 MSE:  0.8256456 
F-norm sine theta difference:  2.766675e-05 
Step  738 
 95  rows selected
 MSE:  0.8256456 
F-norm sine theta difference:  2.84491e-05 
Step  739 
 95  rows selected
 MSE:  0.8256456 
F-norm sine theta difference:  2.815946e-05 
Step  740 
 95  rows selected
 MSE:  0.8256455 
F-norm sine theta difference:  2.726763e-05 
Step  741 
 95  rows selected
 MSE:  0.8256455 
F-norm sine theta difference:  2.720042e-05 
Step  742 
 95  rows selected
 MSE:  0.8256455 
F-norm sine theta difference:  2.709078e-05 
Step  743 
 95  rows selected
 MSE:  0.8256455 
F-norm sine theta difference:  2.696594e-05 
Step  744 
 95  rows selected
 MSE:  0.8256455 
F-norm sine theta difference:  2.686217e-05 
Step  745 
 95  rows selected
 MSE:  0.8256454 
F-norm sine theta difference:  2.679484e-05 
Step  746 
 95  rows selected
 MSE:  0.8256454 
F-norm sine theta difference:  2.670067e-05 
Step  747 
 95  rows selected
 MSE:  0.8256454 
F-norm sine theta difference:  2.65672e-05 
Step  748 
 95  rows selected
 MSE:  0.8256454 
F-norm sine theta difference:  2.644828e-05 
Step  749 
 95  rows selected
 MSE:  0.8256454 
F-norm sine theta difference:  2.6329e-05 
Step  750 
 95  rows selected
 MSE:  0.8256454 
F-norm sine theta difference:  2.626521e-05 
Step  751 
 95  rows selected
 MSE:  0.8256453 
F-norm sine theta difference:  2.624108e-05 
Step  752 
 95  rows selected
 MSE:  0.8256453 
F-norm sine theta difference:  2.610971e-05 
Step  753 
 95  rows selected
 MSE:  0.8256453 
F-norm sine theta difference:  2.600053e-05 
Step  754 
 95  rows selected
 MSE:  0.8256453 
F-norm sine theta difference:  2.588437e-05 
Step  755 
 95  rows selected
 MSE:  0.8256453 
F-norm sine theta difference:  2.57314e-05 
Step  756 
 95  rows selected
 MSE:  0.8256453 
F-norm sine theta difference:  2.566869e-05 
Step  757 
 95  rows selected
 MSE:  0.8256453 
F-norm sine theta difference:  2.555486e-05 
Step  758 
 95  rows selected
 MSE:  0.8256452 
F-norm sine theta difference:  2.546572e-05 
Step  759 
 95  rows selected
 MSE:  0.8256452 
F-norm sine theta difference:  2.583789e-05 
Step  760 
 95  rows selected
 MSE:  0.8256452 
F-norm sine theta difference:  2.525071e-05 
Step  761 
 95  rows selected
 MSE:  0.8256452 
F-norm sine theta difference:  2.507104e-05 
Step  762 
 95  rows selected
 MSE:  0.8256452 
F-norm sine theta difference:  2.528878e-05 
Step  763 
 95  rows selected
 MSE:  0.8256452 
F-norm sine theta difference:  2.498796e-05 
Step  764 
 95  rows selected
 MSE:  0.8256451 
F-norm sine theta difference:  2.4934e-05 
Step  765 
 95  rows selected
 MSE:  0.8256451 
F-norm sine theta difference:  2.499134e-05 
Step  766 
 95  rows selected
 MSE:  0.8256451 
F-norm sine theta difference:  2.478809e-05 
Step  767 
 95  rows selected
 MSE:  0.8256451 
F-norm sine theta difference:  2.464594e-05 
Step  768 
 95  rows selected
 MSE:  0.8256451 
F-norm sine theta difference:  2.451442e-05 
Step  769 
 95  rows selected
 MSE:  0.8256451 
F-norm sine theta difference:  2.442888e-05 
Step  770 
 95  rows selected
 MSE:  0.8256451 
F-norm sine theta difference:  2.428135e-05 
Step  771 
 95  rows selected
 MSE:  0.825645 
F-norm sine theta difference:  2.425173e-05 
Step  772 
 95  rows selected
 MSE:  0.825645 
F-norm sine theta difference:  2.4622e-05 
Step  773 
 95  rows selected
 MSE:  0.825645 
F-norm sine theta difference:  2.405948e-05 
Step  774 
 95  rows selected
 MSE:  0.825645 
F-norm sine theta difference:  2.39473e-05 
Step  775 
 95  rows selected
 MSE:  0.825645 
F-norm sine theta difference:  2.391303e-05 
Step  776 
 95  rows selected
 MSE:  0.825645 
F-norm sine theta difference:  2.380747e-05 
Step  777 
 95  rows selected
 MSE:  0.825645 
F-norm sine theta difference:  2.37068e-05 
Step  778 
 95  rows selected
 MSE:  0.825645 
F-norm sine theta difference:  2.362865e-05 
Step  779 
 95  rows selected
 MSE:  0.8256449 
F-norm sine theta difference:  2.355626e-05 
Step  780 
 95  rows selected
 MSE:  0.8256449 
F-norm sine theta difference:  2.341729e-05 
Step  781 
 95  rows selected
 MSE:  0.8256449 
F-norm sine theta difference:  2.350955e-05 
Step  782 
 95  rows selected
 MSE:  0.8256449 
F-norm sine theta difference:  2.336621e-05 
Step  783 
 95  rows selected
 MSE:  0.8256449 
F-norm sine theta difference:  2.317075e-05 
Step  784 
 95  rows selected
 MSE:  0.8256449 
F-norm sine theta difference:  2.31209e-05 
Step  785 
 95  rows selected
 MSE:  0.8256449 
F-norm sine theta difference:  2.300048e-05 
Step  786 
 95  rows selected
 MSE:  0.8256449 
F-norm sine theta difference:  2.281394e-05 
Step  787 
 95  rows selected
 MSE:  0.8256448 
F-norm sine theta difference:  2.292964e-05 
Step  788 
 95  rows selected
 MSE:  0.8256448 
F-norm sine theta difference:  2.298045e-05 
Step  789 
 95  rows selected
 MSE:  0.8256448 
F-norm sine theta difference:  2.262648e-05 
Step  790 
 95  rows selected
 MSE:  0.8256448 
F-norm sine theta difference:  2.256521e-05 
Step  791 
 95  rows selected
 MSE:  0.8256448 
F-norm sine theta difference:  2.243994e-05 
Step  792 
 95  rows selected
 MSE:  0.8256448 
F-norm sine theta difference:  2.241685e-05 
Step  793 
 95  rows selected
 MSE:  0.8256448 
F-norm sine theta difference:  2.22946e-05 
Step  794 
 95  rows selected
 MSE:  0.8256448 
F-norm sine theta difference:  2.223754e-05 
Step  795 
 95  rows selected
 MSE:  0.8256447 
F-norm sine theta difference:  2.264143e-05 
Step  796 
 95  rows selected
 MSE:  0.8256447 
F-norm sine theta difference:  2.204094e-05 
Step  797 
 95  rows selected
 MSE:  0.8256447 
F-norm sine theta difference:  2.201705e-05 
Step  798 
 95  rows selected
 MSE:  0.8256447 
F-norm sine theta difference:  2.296405e-05 
Step  799 
 95  rows selected
 MSE:  0.8256447 
F-norm sine theta difference:  2.186934e-05 
Step  800 
 95  rows selected
 MSE:  0.8256447 
F-norm sine theta difference:  2.173816e-05 
Step  801 
 95  rows selected
 MSE:  0.8256447 
F-norm sine theta difference:  2.163848e-05 
Step  802 
 95  rows selected
 MSE:  0.8256447 
F-norm sine theta difference:  2.156107e-05 
Step  803 
 95  rows selected
 MSE:  0.8256447 
F-norm sine theta difference:  2.147315e-05 
Step  804 
 95  rows selected
 MSE:  0.8256446 
F-norm sine theta difference:  2.139149e-05 
Step  805 
 95  rows selected
 MSE:  0.8256446 
F-norm sine theta difference:  2.160671e-05 
Step  806 
 95  rows selected
 MSE:  0.8256446 
F-norm sine theta difference:  2.123074e-05 
Step  807 
 95  rows selected
 MSE:  0.8256446 
F-norm sine theta difference:  2.118406e-05 
Step  808 
 95  rows selected
 MSE:  0.8256446 
F-norm sine theta difference:  2.193865e-05 
Step  809 
 95  rows selected
 MSE:  0.8256446 
F-norm sine theta difference:  2.104022e-05 
Step  810 
 95  rows selected
 MSE:  0.8256446 
F-norm sine theta difference:  2.088327e-05 
Step  811 
 95  rows selected
 MSE:  0.8256446 
F-norm sine theta difference:  2.107492e-05 
Step  812 
 95  rows selected
 MSE:  0.8256446 
F-norm sine theta difference:  2.082035e-05 
Step  813 
 95  rows selected
 MSE:  0.8256445 
F-norm sine theta difference:  2.06606e-05 
Step  814 
 95  rows selected
 MSE:  0.8256445 
F-norm sine theta difference:  2.060252e-05 
Step  815 
 95  rows selected
 MSE:  0.8256445 
F-norm sine theta difference:  2.053062e-05 
Step  816 
 95  rows selected
 MSE:  0.8256445 
F-norm sine theta difference:  2.044092e-05 
Step  817 
 95  rows selected
 MSE:  0.8256445 
F-norm sine theta difference:  2.039414e-05 
Step  818 
 95  rows selected
 MSE:  0.8256445 
F-norm sine theta difference:  2.030497e-05 
Step  819 
 95  rows selected
 MSE:  0.8256445 
F-norm sine theta difference:  2.036481e-05 
Step  820 
 95  rows selected
 MSE:  0.8256445 
F-norm sine theta difference:  2.045028e-05 
Step  821 
 95  rows selected
 MSE:  0.8256445 
F-norm sine theta difference:  2.018317e-05 
Step  822 
 95  rows selected
 MSE:  0.8256445 
F-norm sine theta difference:  1.998541e-05 
Step  823 
 95  rows selected
 MSE:  0.8256445 
F-norm sine theta difference:  1.992587e-05 
Step  824 
 95  rows selected
 MSE:  0.8256444 
F-norm sine theta difference:  1.985496e-05 
Step  825 
 95  rows selected
 MSE:  0.8256444 
F-norm sine theta difference:  2.006617e-05 
Step  826 
 95  rows selected
 MSE:  0.8256444 
F-norm sine theta difference:  2.026971e-05 
Step  827 
 95  rows selected
 MSE:  0.8256444 
F-norm sine theta difference:  1.967895e-05 
Step  828 
 95  rows selected
 MSE:  0.8256444 
F-norm sine theta difference:  1.958689e-05 
Step  829 
 95  rows selected
 MSE:  0.8256444 
F-norm sine theta difference:  1.946226e-05 
Step  830 
 95  rows selected
 MSE:  0.8256444 
F-norm sine theta difference:  1.939713e-05 
Step  831 
 95  rows selected
 MSE:  0.8256444 
F-norm sine theta difference:  1.939124e-05 
Step  832 
 95  rows selected
 MSE:  0.8256444 
F-norm sine theta difference:  1.924917e-05 
Step  833 
 95  rows selected
 MSE:  0.8256444 
F-norm sine theta difference:  1.917752e-05 
Step  834 
 95  rows selected
 MSE:  0.8256444 
F-norm sine theta difference:  1.91001e-05 
Step  835 
 95  rows selected
 MSE:  0.8256443 
F-norm sine theta difference:  1.903495e-05 
Step  836 
 95  rows selected
 MSE:  0.8256443 
F-norm sine theta difference:  1.914414e-05 
Step  837 
 95  rows selected
 MSE:  0.8256443 
F-norm sine theta difference:  1.889817e-05 
Step  838 
 95  rows selected
 MSE:  0.8256443 
F-norm sine theta difference:  1.881198e-05 
Step  839 
 95  rows selected
 MSE:  0.8256443 
F-norm sine theta difference:  1.874175e-05 
Step  840 
 95  rows selected
 MSE:  0.8256443 
F-norm sine theta difference:  1.860918e-05 
Step  841 
 95  rows selected
 MSE:  0.8256443 
F-norm sine theta difference:  1.862845e-05 
Step  842 
 95  rows selected
 MSE:  0.8256443 
F-norm sine theta difference:  1.852498e-05 
Step  843 
 95  rows selected
 MSE:  0.8256443 
F-norm sine theta difference:  1.880823e-05 
Step  844 
 95  rows selected
 MSE:  0.8256443 
F-norm sine theta difference:  1.845978e-05 
Step  845 
 95  rows selected
 MSE:  0.8256443 
F-norm sine theta difference:  1.859315e-05 
Step  846 
 95  rows selected
 MSE:  0.8256443 
F-norm sine theta difference:  1.832347e-05 
Step  847 
 95  rows selected
 MSE:  0.8256442 
F-norm sine theta difference:  1.822082e-05 
Step  848 
 95  rows selected
 MSE:  0.8256442 
F-norm sine theta difference:  1.820286e-05 
Step  849 
 95  rows selected
 MSE:  0.8256442 
F-norm sine theta difference:  1.822283e-05 
Step  850 
 95  rows selected
 MSE:  0.8256442 
F-norm sine theta difference:  1.798357e-05 
Step  851 
 95  rows selected
 MSE:  0.8256442 
F-norm sine theta difference:  1.79166e-05 
Step  852 
 95  rows selected
 MSE:  0.8256442 
F-norm sine theta difference:  1.78579e-05 
Step  853 
 95  rows selected
 MSE:  0.8256442 
F-norm sine theta difference:  1.78167e-05 
Step  854 
 95  rows selected
 MSE:  0.8256442 
F-norm sine theta difference:  1.779752e-05 
Step  855 
 95  rows selected
 MSE:  0.8256442 
F-norm sine theta difference:  1.788742e-05 
Step  856 
 95  rows selected
 MSE:  0.8256442 
F-norm sine theta difference:  1.780794e-05 
Step  857 
 95  rows selected
 MSE:  0.8256442 
F-norm sine theta difference:  1.75785e-05 
Step  858 
 95  rows selected
 MSE:  0.8256442 
F-norm sine theta difference:  1.757242e-05 
Step  859 
 95  rows selected
 MSE:  0.8256442 
F-norm sine theta difference:  1.739955e-05 
Step  860 
 95  rows selected
 MSE:  0.8256441 
F-norm sine theta difference:  1.730704e-05 
Step  861 
 95  rows selected
 MSE:  0.8256441 
F-norm sine theta difference:  1.733371e-05 
Step  862 
 95  rows selected
 MSE:  0.8256441 
F-norm sine theta difference:  1.719467e-05 
Step  863 
 95  rows selected
 MSE:  0.8256441 
F-norm sine theta difference:  1.711378e-05 
Step  864 
 95  rows selected
 MSE:  0.8256441 
F-norm sine theta difference:  1.706286e-05 
Step  865 
 95  rows selected
 MSE:  0.8256441 
F-norm sine theta difference:  1.698938e-05 
Step  866 
 95  rows selected
 MSE:  0.8256441 
F-norm sine theta difference:  1.685877e-05 
Step  867 
 95  rows selected
 MSE:  0.8256441 
F-norm sine theta difference:  1.686717e-05 
Step  868 
 95  rows selected
 MSE:  0.8256441 
F-norm sine theta difference:  1.682119e-05 
Step  869 
 95  rows selected
 MSE:  0.8256441 
F-norm sine theta difference:  1.701461e-05 
Step  870 
 95  rows selected
 MSE:  0.8256441 
F-norm sine theta difference:  1.665429e-05 
Step  871 
 95  rows selected
 MSE:  0.8256441 
F-norm sine theta difference:  1.663202e-05 
Step  872 
 95  rows selected
 MSE:  0.8256441 
F-norm sine theta difference:  1.652118e-05 
Step  873 
 95  rows selected
 MSE:  0.8256441 
F-norm sine theta difference:  1.65486e-05 
Step  874 
 95  rows selected
 MSE:  0.8256441 
F-norm sine theta difference:  1.646184e-05 
Step  875 
 95  rows selected
 MSE:  0.825644 
F-norm sine theta difference:  1.634584e-05 
Step  876 
 95  rows selected
 MSE:  0.825644 
F-norm sine theta difference:  1.673609e-05 
Step  877 
 95  rows selected
 MSE:  0.825644 
F-norm sine theta difference:  1.63122e-05 
Step  878 
 95  rows selected
 MSE:  0.825644 
F-norm sine theta difference:  1.632583e-05 
Step  879 
 95  rows selected
 MSE:  0.825644 
F-norm sine theta difference:  1.623615e-05 
Step  880 
 95  rows selected
 MSE:  0.825644 
F-norm sine theta difference:  1.606173e-05 
Step  881 
 95  rows selected
 MSE:  0.825644 
F-norm sine theta difference:  1.612773e-05 
Step  882 
 95  rows selected
 MSE:  0.825644 
F-norm sine theta difference:  1.591949e-05 
Step  883 
 95  rows selected
 MSE:  0.825644 
F-norm sine theta difference:  1.594955e-05 
Step  884 
 95  rows selected
 MSE:  0.825644 
F-norm sine theta difference:  1.583361e-05 
Step  885 
 95  rows selected
 MSE:  0.825644 
F-norm sine theta difference:  1.575711e-05 
Step  886 
 95  rows selected
 MSE:  0.825644 
F-norm sine theta difference:  1.570939e-05 
Step  887 
 95  rows selected
 MSE:  0.825644 
F-norm sine theta difference:  1.564148e-05 
Step  888 
 95  rows selected
 MSE:  0.825644 
F-norm sine theta difference:  1.650134e-05 
Step  889 
 95  rows selected
 MSE:  0.825644 
F-norm sine theta difference:  1.593994e-05 
Step  890 
 95  rows selected
 MSE:  0.825644 
F-norm sine theta difference:  1.562927e-05 
Step  891 
 95  rows selected
 MSE:  0.825644 
F-norm sine theta difference:  1.54594e-05 
Step  892 
 95  rows selected
 MSE:  0.8256439 
F-norm sine theta difference:  1.564474e-05 
Step  893 
 95  rows selected
 MSE:  0.8256439 
F-norm sine theta difference:  1.542621e-05 
Step  894 
 95  rows selected
 MSE:  0.8256439 
F-norm sine theta difference:  1.583237e-05 
Step  895 
 95  rows selected
 MSE:  0.8256439 
F-norm sine theta difference:  1.536666e-05 
Step  896 
 95  rows selected
 MSE:  0.8256439 
F-norm sine theta difference:  1.512715e-05 
Step  897 
 95  rows selected
 MSE:  0.8256439 
F-norm sine theta difference:  1.592171e-05 
Step  898 
 95  rows selected
 MSE:  0.8256439 
F-norm sine theta difference:  1.502339e-05 
Step  899 
 95  rows selected
 MSE:  0.8256439 
F-norm sine theta difference:  1.498111e-05 
Step  900 
 95  rows selected
 MSE:  0.8256439 
F-norm sine theta difference:  1.502635e-05 
Step  901 
 95  rows selected
 MSE:  0.8256439 
F-norm sine theta difference:  1.498309e-05 
Step  902 
 95  rows selected
 MSE:  0.8256439 
F-norm sine theta difference:  1.478982e-05 
Step  903 
 95  rows selected
 MSE:  0.8256439 
F-norm sine theta difference:  1.472689e-05 
Step  904 
 95  rows selected
 MSE:  0.8256439 
F-norm sine theta difference:  1.481802e-05 
Step  905 
 95  rows selected
 MSE:  0.8256439 
F-norm sine theta difference:  1.474199e-05 
Step  906 
 95  rows selected
 MSE:  0.8256439 
F-norm sine theta difference:  1.492016e-05 
Step  907 
 95  rows selected
 MSE:  0.8256439 
F-norm sine theta difference:  1.513099e-05 
Step  908 
 95  rows selected
 MSE:  0.8256439 
F-norm sine theta difference:  1.463204e-05 
Step  909 
 95  rows selected
 MSE:  0.8256439 
F-norm sine theta difference:  1.445256e-05 
Step  910 
 95  rows selected
 MSE:  0.8256439 
F-norm sine theta difference:  1.490976e-05 
Step  911 
 95  rows selected
 MSE:  0.8256438 
F-norm sine theta difference:  1.583092e-05 
Step  912 
 95  rows selected
 MSE:  0.8256438 
F-norm sine theta difference:  1.428391e-05 
Step  913 
 95  rows selected
 MSE:  0.8256438 
F-norm sine theta difference:  1.420686e-05 
Step  914 
 95  rows selected
 MSE:  0.8256438 
F-norm sine theta difference:  1.413727e-05 
Step  915 
 95  rows selected
 MSE:  0.8256438 
F-norm sine theta difference:  1.426582e-05 
Step  916 
 95  rows selected
 MSE:  0.8256438 
F-norm sine theta difference:  1.418045e-05 
Step  917 
 95  rows selected
 MSE:  0.8256438 
F-norm sine theta difference:  1.402118e-05 
Step  918 
 95  rows selected
 MSE:  0.8256438 
F-norm sine theta difference:  1.401696e-05 
Step  919 
 95  rows selected
 MSE:  0.8256438 
F-norm sine theta difference:  1.387353e-05 
Step  920 
 95  rows selected
 MSE:  0.8256438 
F-norm sine theta difference:  1.388523e-05 
Step  921 
 95  rows selected
 MSE:  0.8256438 
F-norm sine theta difference:  1.400234e-05 
Step  922 
 95  rows selected
 MSE:  0.8256438 
F-norm sine theta difference:  1.378572e-05 
Step  923 
 95  rows selected
 MSE:  0.8256438 
F-norm sine theta difference:  1.377708e-05 
Step  924 
 95  rows selected
 MSE:  0.8256438 
F-norm sine theta difference:  1.368622e-05 
Step  925 
 95  rows selected
 MSE:  0.8256438 
F-norm sine theta difference:  1.371921e-05 
Step  926 
 95  rows selected
 MSE:  0.8256438 
F-norm sine theta difference:  1.351304e-05 
Step  927 
 95  rows selected
 MSE:  0.8256438 
F-norm sine theta difference:  1.414508e-05 
Step  928 
 95  rows selected
 MSE:  0.8256438 
F-norm sine theta difference:  1.344035e-05 
Step  929 
 95  rows selected
 MSE:  0.8256438 
F-norm sine theta difference:  1.338143e-05 
Step  930 
 95  rows selected
 MSE:  0.8256438 
F-norm sine theta difference:  1.331359e-05 
Step  931 
 95  rows selected
 MSE:  0.8256438 
F-norm sine theta difference:  1.344674e-05 
Step  932 
 95  rows selected
 MSE:  0.8256438 
F-norm sine theta difference:  1.326604e-05 
Step  933 
 95  rows selected
 MSE:  0.8256438 
F-norm sine theta difference:  1.327295e-05 
Step  934 
 95  rows selected
 MSE:  0.8256437 
F-norm sine theta difference:  1.319258e-05 
Step  935 
 95  rows selected
 MSE:  0.8256437 
F-norm sine theta difference:  1.306383e-05 
Step  936 
 95  rows selected
 MSE:  0.8256437 
F-norm sine theta difference:  1.299239e-05 
Step  937 
 95  rows selected
 MSE:  0.8256437 
F-norm sine theta difference:  1.309004e-05 
Step  938 
 95  rows selected
 MSE:  0.8256437 
F-norm sine theta difference:  1.299093e-05 
Step  939 
 95  rows selected
 MSE:  0.8256437 
F-norm sine theta difference:  1.286555e-05 
Step  940 
 95  rows selected
 MSE:  0.8256437 
F-norm sine theta difference:  1.316117e-05 
Step  941 
 95  rows selected
 MSE:  0.8256437 
F-norm sine theta difference:  1.285206e-05 
Step  942 
 95  rows selected
 MSE:  0.8256437 
F-norm sine theta difference:  1.273282e-05 
Step  943 
 95  rows selected
 MSE:  0.8256437 
F-norm sine theta difference:  1.309643e-05 
Step  944 
 95  rows selected
 MSE:  0.8256437 
F-norm sine theta difference:  1.318616e-05 
Step  945 
 95  rows selected
 MSE:  0.8256437 
F-norm sine theta difference:  1.264654e-05 
Step  946 
 95  rows selected
 MSE:  0.8256437 
F-norm sine theta difference:  1.257961e-05 
Step  947 
 95  rows selected
 MSE:  0.8256437 
F-norm sine theta difference:  1.249001e-05 
Step  948 
 95  rows selected
 MSE:  0.8256437 
F-norm sine theta difference:  1.250981e-05 
Step  949 
 95  rows selected
 MSE:  0.8256437 
F-norm sine theta difference:  1.250118e-05 
Step  950 
 95  rows selected
 MSE:  0.8256437 
F-norm sine theta difference:  1.25367e-05 
Step  951 
 95  rows selected
 MSE:  0.8256437 
F-norm sine theta difference:  1.230559e-05 
Step  952 
 95  rows selected
 MSE:  0.8256437 
F-norm sine theta difference:  1.255519e-05 
Step  953 
 95  rows selected
 MSE:  0.8256437 
F-norm sine theta difference:  1.221669e-05 
Step  954 
 95  rows selected
 MSE:  0.8256437 
F-norm sine theta difference:  1.213923e-05 
Step  955 
 95  rows selected
 MSE:  0.8256437 
F-norm sine theta difference:  1.281355e-05 
Step  956 
 95  rows selected
 MSE:  0.8256437 
F-norm sine theta difference:  1.206395e-05 
Step  957 
 95  rows selected
 MSE:  0.8256437 
F-norm sine theta difference:  1.347758e-05 
Step  958 
 95  rows selected
 MSE:  0.8256437 
F-norm sine theta difference:  1.205679e-05 
Step  959 
 95  rows selected
 MSE:  0.8256437 
F-norm sine theta difference:  1.196528e-05 
Step  960 
 95  rows selected
 MSE:  0.8256437 
F-norm sine theta difference:  1.190466e-05 
Step  961 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.186302e-05 
Step  962 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.29474e-05 
Step  963 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.183376e-05 
Step  964 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.181653e-05 
Step  965 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.175737e-05 
Step  966 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.164818e-05 
Step  967 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.161801e-05 
Step  968 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.160112e-05 
Step  969 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.15269e-05 
Step  970 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.15501e-05 
Step  971 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.139728e-05 
Step  972 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.166918e-05 
Step  973 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.169138e-05 
Step  974 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.14614e-05 
Step  975 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.139846e-05 
Step  976 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.119265e-05 
Step  977 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.184746e-05 
Step  978 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.118004e-05 
Step  979 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.176197e-05 
Step  980 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.107167e-05 
Step  981 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.108951e-05 
Step  982 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.099711e-05 
Step  983 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.11884e-05 
Step  984 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.09675e-05 
Step  985 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.11404e-05 
Step  986 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.147531e-05 
Step  987 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.080567e-05 
Step  988 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.07475e-05 
Step  989 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.098399e-05 
Step  990 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.063632e-05 
Step  991 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.059618e-05 
Step  992 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.054666e-05 
Step  993 
 95  rows selected
 MSE:  0.8256436 
F-norm sine theta difference:  1.053136e-05 
Step  994 
 95  rows selected
 MSE:  0.8256435 
F-norm sine theta difference:  1.046893e-05 
Step  995 
 95  rows selected
 MSE:  0.8256435 
F-norm sine theta difference:  1.058224e-05 
Step  996 
 95  rows selected
 MSE:  0.8256435 
F-norm sine theta difference:  1.048836e-05 
Step  997 
 95  rows selected
 MSE:  0.8256435 
F-norm sine theta difference:  1.04106e-05 
Step  998 
 95  rows selected
 MSE:  0.8256435 
F-norm sine theta difference:  1.029483e-05 
Step  999 
 95  rows selected
 MSE:  0.8256435 
F-norm sine theta difference:  1.048834e-05 
Step  1000 
 95  rows selected
 MSE:  0.8256435 
F-norm sine theta difference:  1.26539e-05 
Max iteration number is hit.

res.s = softImpute(X,1)
plot(res.s$v,res.p$V_cur,main="v from prime vs softimpute")
abline(a=0,b=-1,col=2)

cor(cbind(v,res.p$V_cur,res.s$v))

           v                      
v  1.0000000 -0.9011763  0.9083774
  -0.9011763  1.0000000 -0.9911967
   0.9083774 -0.9911967  1.0000000

…and higher missingness again, (0.9,1). (I increased n so that every column has sufficient non-missing entries):

set.seed(123)
n = 1000
p = 200
missprob = 0.9+ 0.1*runif(n) #at least 90% missing
u = rnorm(n)
v = rnorm(p)
X = u %*% t(v) + rnorm(n*p)

for(i in 1:n){
  for(j in 1:p){
    if(runif(1)<missprob[i]){X[i,j]=NA}
  }
}
res.p = primePCA(X, 1,trace.it=TRUE,center=FALSE)

Step  1 
 917  rows selected
 MSE:  0.9219908 
F-norm sine theta difference:  0.007938048 
Step  2 
 917  rows selected
 MSE:  0.9190606 
F-norm sine theta difference:  0.007656406 
Step  3 
 917  rows selected
 MSE:  0.9163312 
F-norm sine theta difference:  0.007384664 
Step  4 
 917  rows selected
 MSE:  0.9137887 
F-norm sine theta difference:  0.007122818 
Step  5 
 917  rows selected
 MSE:  0.9114198 
F-norm sine theta difference:  0.006870771 
Step  6 
 917  rows selected
 MSE:  0.9092122 
F-norm sine theta difference:  0.006628342 
Step  7 
 917  rows selected
 MSE:  0.9071546 
F-norm sine theta difference:  0.006395333 
Step  8 
 917  rows selected
 MSE:  0.9052362 
F-norm sine theta difference:  0.006171377 
Step  9 
 917  rows selected
 MSE:  0.9034472 
F-norm sine theta difference:  0.005956259 
Step  10 
 917  rows selected
 MSE:  0.9017783 
F-norm sine theta difference:  0.005749621 
Step  11 
 917  rows selected
 MSE:  0.900221 
F-norm sine theta difference:  0.005551147 
Step  12 
 917  rows selected
 MSE:  0.8987673 
F-norm sine theta difference:  0.005360498 
Step  13 
 917  rows selected
 MSE:  0.89741 
F-norm sine theta difference:  0.005177375 
Step  14 
 917  rows selected
 MSE:  0.8961421 
F-norm sine theta difference:  0.005001457 
Step  15 
 917  rows selected
 MSE:  0.8949575 
F-norm sine theta difference:  0.004832445 
Step  16 
 917  rows selected
 MSE:  0.8938502 
F-norm sine theta difference:  0.004670045 
Step  17 
 917  rows selected
 MSE:  0.8928148 
F-norm sine theta difference:  0.004513991 
Step  18 
 917  rows selected
 MSE:  0.8918464 
F-norm sine theta difference:  0.004363989 
Step  19 
 917  rows selected
 MSE:  0.8909402 
F-norm sine theta difference:  0.004219825 
Step  20 
 917  rows selected
 MSE:  0.890092 
F-norm sine theta difference:  0.004081216 
Step  21 
 917  rows selected
 MSE:  0.8892978 
F-norm sine theta difference:  0.003947939 
Step  22 
 917  rows selected
 MSE:  0.8885538 
F-norm sine theta difference:  0.003819734 
Step  23 
 917  rows selected
 MSE:  0.8878566 
F-norm sine theta difference:  0.003696489 
Step  24 
 917  rows selected
 MSE:  0.8872031 
F-norm sine theta difference:  0.00357788 
Step  25 
 917  rows selected
 MSE:  0.8865902 
F-norm sine theta difference:  0.003463759 
Step  26 
 917  rows selected
 MSE:  0.8860153 
F-norm sine theta difference:  0.003353926 
Step  27 
 917  rows selected
 MSE:  0.8854757 
F-norm sine theta difference:  0.003248204 
Step  28 
 917  rows selected
 MSE:  0.8849691 
F-norm sine theta difference:  0.003146415 
Step  29 
 917  rows selected
 MSE:  0.8844934 
F-norm sine theta difference:  0.003048393 
Step  30 
 917  rows selected
 MSE:  0.8840465 
F-norm sine theta difference:  0.00295398 
Step  31 
 917  rows selected
 MSE:  0.8836265 
F-norm sine theta difference:  0.002863023 
Step  32 
 917  rows selected
 MSE:  0.8832315 
F-norm sine theta difference:  0.002775372 
Step  33 
 917  rows selected
 MSE:  0.8828601 
F-norm sine theta difference:  0.002690896 
Step  34 
 917  rows selected
 MSE:  0.8825107 
F-norm sine theta difference:  0.002609454 
Step  35 
 917  rows selected
 MSE:  0.8821819 
F-norm sine theta difference:  0.002530928 
Step  36 
 917  rows selected
 MSE:  0.8818722 
F-norm sine theta difference:  0.002455192 
Step  37 
 917  rows selected
 MSE:  0.8815806 
F-norm sine theta difference:  0.002382128 
Step  38 
 917  rows selected
 MSE:  0.8813059 
F-norm sine theta difference:  0.002311517 
Step  39 
 917  rows selected
 MSE:  0.8810471 
F-norm sine theta difference:  0.002243596 
Step  40 
 917  rows selected
 MSE:  0.880803 
F-norm sine theta difference:  0.002177915 
Step  41 
 917  rows selected
 MSE:  0.8805728 
F-norm sine theta difference:  0.0021145 
Step  42 
 917  rows selected
 MSE:  0.8803557 
F-norm sine theta difference:  0.002053258 
Step  43 
 917  rows selected
 MSE:  0.8801508 
F-norm sine theta difference:  0.001994098 
Step  44 
 917  rows selected
 MSE:  0.8799575 
F-norm sine theta difference:  0.00193694 
Step  45 
 917  rows selected
 MSE:  0.8797749 
F-norm sine theta difference:  0.001881702 
Step  46 
 917  rows selected
 MSE:  0.8796024 
F-norm sine theta difference:  0.001828312 
Step  47 
 917  rows selected
 MSE:  0.8794395 
F-norm sine theta difference:  0.001776693 
Step  48 
 917  rows selected
 MSE:  0.8792856 
F-norm sine theta difference:  0.001726789 
Step  49 
 917  rows selected
 MSE:  0.87914 
F-norm sine theta difference:  0.001678502 
Step  50 
 917  rows selected
 MSE:  0.8790024 
F-norm sine theta difference:  0.001631802 
Step  51 
 917  rows selected
 MSE:  0.8788723 
F-norm sine theta difference:  0.001586612 
Step  52 
 917  rows selected
 MSE:  0.8787492 
F-norm sine theta difference:  0.001542882 
Step  53 
 917  rows selected
 MSE:  0.8786326 
F-norm sine theta difference:  0.001500546 
Step  54 
 917  rows selected
 MSE:  0.8785224 
F-norm sine theta difference:  0.001459574 
Step  55 
 917  rows selected
 MSE:  0.8784179 
F-norm sine theta difference:  0.001419879 
Step  56 
 917  rows selected
 MSE:  0.8783191 
F-norm sine theta difference:  0.001381442 
Step  57 
 917  rows selected
 MSE:  0.8782254 
F-norm sine theta difference:  0.001344208 
Step  58 
 917  rows selected
 MSE:  0.8781367 
F-norm sine theta difference:  0.001308133 
Step  59 
 917  rows selected
 MSE:  0.8780526 
F-norm sine theta difference:  0.00127317 
Step  60 
 917  rows selected
 MSE:  0.8779728 
F-norm sine theta difference:  0.001239284 
Step  61 
 917  rows selected
 MSE:  0.8778973 
F-norm sine theta difference:  0.001206446 
Step  62 
 917  rows selected
 MSE:  0.8778256 
F-norm sine theta difference:  0.001174595 
Step  63 
 917  rows selected
 MSE:  0.8777576 
F-norm sine theta difference:  0.001143714 
Step  64 
 917  rows selected
 MSE:  0.8776931 
F-norm sine theta difference:  0.001113756 
Step  65 
 917  rows selected
 MSE:  0.8776319 
F-norm sine theta difference:  0.001084701 
Step  66 
 917  rows selected
 MSE:  0.8775738 
F-norm sine theta difference:  0.001056504 
Step  67 
 917  rows selected
 MSE:  0.8775187 
F-norm sine theta difference:  0.001029152 
Step  68 
 917  rows selected
 MSE:  0.8774663 
F-norm sine theta difference:  0.001002604 
Step  69 
 917  rows selected
 MSE:  0.8774166 
F-norm sine theta difference:  0.0009768381 
Step  70 
 917  rows selected
 MSE:  0.8773693 
F-norm sine theta difference:  0.0009518162 
Step  71 
 917  rows selected
 MSE:  0.8773245 
F-norm sine theta difference:  0.000927522 
Step  72 
 917  rows selected
 MSE:  0.8772818 
F-norm sine theta difference:  0.0009039299 
Step  73 
 917  rows selected
 MSE:  0.8772413 
F-norm sine theta difference:  0.0008810095 
Step  74 
 917  rows selected
 MSE:  0.8772028 
F-norm sine theta difference:  0.0008587647 
Step  75 
 917  rows selected
 MSE:  0.8771662 
F-norm sine theta difference:  0.0008371456 
Step  76 
 917  rows selected
 MSE:  0.8771314 
F-norm sine theta difference:  0.0008161366 
Step  77 
 917  rows selected
 MSE:  0.8770983 
F-norm sine theta difference:  0.000795724 
Step  78 
 917  rows selected
 MSE:  0.8770668 
F-norm sine theta difference:  0.000775883 
Step  79 
 917  rows selected
 MSE:  0.8770368 
F-norm sine theta difference:  0.0007565969 
Step  80 
 917  rows selected
 MSE:  0.8770083 
F-norm sine theta difference:  0.0007378524 
Step  81 
 917  rows selected
 MSE:  0.8769812 
F-norm sine theta difference:  0.0007196231 
Step  82 
 917  rows selected
 MSE:  0.8769553 
F-norm sine theta difference:  0.0007019384 
Step  83 
 917  rows selected
 MSE:  0.8769308 
F-norm sine theta difference:  0.000684667 
Step  84 
 917  rows selected
 MSE:  0.8769074 
F-norm sine theta difference:  0.0006679015 
Step  85 
 917  rows selected
 MSE:  0.8768851 
F-norm sine theta difference:  0.0006516004 
Step  86 
 917  rows selected
 MSE:  0.8768639 
F-norm sine theta difference:  0.0006357309 
Step  87 
 917  rows selected
 MSE:  0.8768437 
F-norm sine theta difference:  0.0006203013 
Step  88 
 917  rows selected
 MSE:  0.8768244 
F-norm sine theta difference:  0.0006052892 
Step  89 
 917  rows selected
 MSE:  0.8768061 
F-norm sine theta difference:  0.0005906793 
Step  90 
 917  rows selected
 MSE:  0.8767886 
F-norm sine theta difference:  0.0005764564 
Step  91 
 917  rows selected
 MSE:  0.876772 
F-norm sine theta difference:  0.0005626169 
Step  92 
 917  rows selected
 MSE:  0.8767561 
F-norm sine theta difference:  0.0005491479 
Step  93 
 917  rows selected
 MSE:  0.876741 
F-norm sine theta difference:  0.0005360285 
Step  94 
 917  rows selected
 MSE:  0.8767265 
F-norm sine theta difference:  0.000523273 
Step  95 
 917  rows selected
 MSE:  0.8767128 
F-norm sine theta difference:  0.0005108282 
Step  96 
 917  rows selected
 MSE:  0.8766997 
F-norm sine theta difference:  0.0004987223 
Step  97 
 917  rows selected
 MSE:  0.8766872 
F-norm sine theta difference:  0.0004869309 
Step  98 
 917  rows selected
 MSE:  0.8766752 
F-norm sine theta difference:  0.0004754474 
Step  99 
 917  rows selected
 MSE:  0.8766639 
F-norm sine theta difference:  0.000464261 
Step  100 
 917  rows selected
 MSE:  0.876653 
F-norm sine theta difference:  0.0004533687 
Step  101 
 917  rows selected
 MSE:  0.8766427 
F-norm sine theta difference:  0.0004427568 
Step  102 
 917  rows selected
 MSE:  0.8766328 
F-norm sine theta difference:  0.0004324162 
Step  103 
 917  rows selected
 MSE:  0.8766234 
F-norm sine theta difference:  0.0004223449 
Step  104 
 917  rows selected
 MSE:  0.8766144 
F-norm sine theta difference:  0.0004125259 
Step  105 
 917  rows selected
 MSE:  0.8766058 
F-norm sine theta difference:  0.0004029572 
Step  106 
 917  rows selected
 MSE:  0.8765976 
F-norm sine theta difference:  0.0003936348 
Step  107 
 917  rows selected
 MSE:  0.8765898 
F-norm sine theta difference:  0.0003845487 
Step  108 
 917  rows selected
 MSE:  0.8765823 
F-norm sine theta difference:  0.0003756896 
Step  109 
 917  rows selected
 MSE:  0.8765751 
F-norm sine theta difference:  0.0003670551 
Step  110 
 917  rows selected
 MSE:  0.8765683 
F-norm sine theta difference:  0.0003586546 
Step  111 
 916  rows selected
 MSE:  0.8767144 
F-norm sine theta difference:  0.0004308473 
Step  112 
 916  rows selected
 MSE:  0.8767056 
F-norm sine theta difference:  0.0004192893 
Step  113 
 916  rows selected
 MSE:  0.8766974 
F-norm sine theta difference:  0.0004081179 
Step  114 
 916  rows selected
 MSE:  0.8766895 
F-norm sine theta difference:  0.000397306 
Step  115 
 916  rows selected
 MSE:  0.8766821 
F-norm sine theta difference:  0.0003868485 
Step  116 
 916  rows selected
 MSE:  0.876675 
F-norm sine theta difference:  0.0003767315 
Step  117 
 916  rows selected
 MSE:  0.8766683 
F-norm sine theta difference:  0.000366939 
Step  118 
 917  rows selected
 MSE:  0.8765262 
F-norm sine theta difference:  0.0003214816 
Step  119 
 917  rows selected
 MSE:  0.8765211 
F-norm sine theta difference:  0.0003112937 
Step  120 
 917  rows selected
 MSE:  0.8765163 
F-norm sine theta difference:  0.0003017897 
Step  121 
 917  rows selected
 MSE:  0.8765118 
F-norm sine theta difference:  0.0002928905 
Step  122 
 917  rows selected
 MSE:  0.8765075 
F-norm sine theta difference:  0.0002845316 
Step  123 
 917  rows selected
 MSE:  0.8765035 
F-norm sine theta difference:  0.0002766381 
Step  124 
 917  rows selected
 MSE:  0.8764997 
F-norm sine theta difference:  0.0002691867 
Step  125 
 917  rows selected
 MSE:  0.8764961 
F-norm sine theta difference:  0.0002621002 
Step  126 
 917  rows selected
 MSE:  0.8764926 
F-norm sine theta difference:  0.0002553509 
Step  127 
 917  rows selected
 MSE:  0.8764894 
F-norm sine theta difference:  0.0002489048 
Step  128 
 917  rows selected
 MSE:  0.8764863 
F-norm sine theta difference:  0.0002427356 
Step  129 
 917  rows selected
 MSE:  0.8764833 
F-norm sine theta difference:  0.0002368075 
Step  130 
 917  rows selected
 MSE:  0.8764805 
F-norm sine theta difference:  0.0002311156 
Step  131 
 917  rows selected
 MSE:  0.8764778 
F-norm sine theta difference:  0.0002256203 
Step  132 
 917  rows selected
 MSE:  0.8764752 
F-norm sine theta difference:  0.0002203238 
Step  133 
 917  rows selected
 MSE:  0.8764728 
F-norm sine theta difference:  0.0002152062 
Step  134 
 917  rows selected
 MSE:  0.8764704 
F-norm sine theta difference:  0.0002102889 
Step  135 
 917  rows selected
 MSE:  0.8764682 
F-norm sine theta difference:  0.0002054412 
Step  136 
 916  rows selected
 MSE:  0.876617 
F-norm sine theta difference:  0.0002963702 
Step  137 
 916  rows selected
 MSE:  0.8766129 
F-norm sine theta difference:  0.0002878977 
Step  138 
 916  rows selected
 MSE:  0.876609 
F-norm sine theta difference:  0.0002797553 
Step  139 
 916  rows selected
 MSE:  0.8766053 
F-norm sine theta difference:  0.0002719143 
Step  140 
 916  rows selected
 MSE:  0.8766018 
F-norm sine theta difference:  0.0002643777 
Step  141 
 917  rows selected
 MSE:  0.8764595 
F-norm sine theta difference:  0.0002074374 
Step  142 
 917  rows selected
 MSE:  0.8764575 
F-norm sine theta difference:  0.0001994111 
Step  143 
 917  rows selected
 MSE:  0.8764555 
F-norm sine theta difference:  0.0001920946 
Step  144 
 917  rows selected
 MSE:  0.8764537 
F-norm sine theta difference:  0.000185367 
Step  145 
 917  rows selected
 MSE:  0.876452 
F-norm sine theta difference:  0.0001791915 
Step  146 
 917  rows selected
 MSE:  0.8764505 
F-norm sine theta difference:  0.0001734893 
Step  147 
 917  rows selected
 MSE:  0.876449 
F-norm sine theta difference:  0.0001682007 
Step  148 
 917  rows selected
 MSE:  0.8764476 
F-norm sine theta difference:  0.0001632721 
Step  149 
 917  rows selected
 MSE:  0.8764462 
F-norm sine theta difference:  0.0001586635 
Step  150 
 917  rows selected
 MSE:  0.876445 
F-norm sine theta difference:  0.0001543318 
Step  151 
 917  rows selected
 MSE:  0.8764438 
F-norm sine theta difference:  0.0001502481 
Step  152 
 917  rows selected
 MSE:  0.8764427 
F-norm sine theta difference:  0.0001463789 
Step  153 
 917  rows selected
 MSE:  0.8764416 
F-norm sine theta difference:  0.0001426989 
Step  154 
 917  rows selected
 MSE:  0.8764406 
F-norm sine theta difference:  0.000139202 
Step  155 
 917  rows selected
 MSE:  0.8764396 
F-norm sine theta difference:  0.0001358543 
Step  156 
 916  rows selected
 MSE:  0.8765896 
F-norm sine theta difference:  0.000247387 
Step  157 
 916  rows selected
 MSE:  0.8765867 
F-norm sine theta difference:  0.0002398783 
Step  158 
 916  rows selected
 MSE:  0.876584 
F-norm sine theta difference:  0.0002326848 
Step  159 
 916  rows selected
 MSE:  0.8765815 
F-norm sine theta difference:  0.000225789 
Step  160 
 916  rows selected
 MSE:  0.8765791 
F-norm sine theta difference:  0.0002191833 
Step  161 
 916  rows selected
 MSE:  0.8765769 
F-norm sine theta difference:  0.0002128377 
Step  162 
 917  rows selected
 MSE:  0.876438 
F-norm sine theta difference:  0.0001665999 
Step  163 
 917  rows selected
 MSE:  0.8764367 
F-norm sine theta difference:  0.0001572279 
Step  164 
 917  rows selected
 MSE:  0.8764355 
F-norm sine theta difference:  0.0001488478 
Step  165 
 917  rows selected
 MSE:  0.8764345 
F-norm sine theta difference:  0.0001413118 
Step  166 
 917  rows selected
 MSE:  0.8764336 
F-norm sine theta difference:  0.0001345592 
Step  167 
 917  rows selected
 MSE:  0.8764327 
F-norm sine theta difference:  0.00012848 
Step  168 
 917  rows selected
 MSE:  0.8764319 
F-norm sine theta difference:  0.0001229966 
Step  169 
 917  rows selected
 MSE:  0.8764312 
F-norm sine theta difference:  0.0001180358 
Step  170 
 917  rows selected
 MSE:  0.8764305 
F-norm sine theta difference:  0.0001135361 
Step  171 
 917  rows selected
 MSE:  0.8764299 
F-norm sine theta difference:  0.0001094373 
Step  172 
 917  rows selected
 MSE:  0.8764293 
F-norm sine theta difference:  0.0001056905 
Step  173 
 917  rows selected
 MSE:  0.8764287 
F-norm sine theta difference:  0.0001022479 
Step  174 
 917  rows selected
 MSE:  0.8764282 
F-norm sine theta difference:  9.906542e-05 
Step  175 
 917  rows selected
 MSE:  0.8764277 
F-norm sine theta difference:  9.613347e-05 
Step  176 
 917  rows selected
 MSE:  0.8764273 
F-norm sine theta difference:  9.340103e-05 
Step  177 
 917  rows selected
 MSE:  0.8764268 
F-norm sine theta difference:  9.084661e-05 
Step  178 
 917  rows selected
 MSE:  0.8764264 
F-norm sine theta difference:  8.844408e-05 
Step  179 
 917  rows selected
 MSE:  0.876426 
F-norm sine theta difference:  8.618225e-05 
Step  180 
 917  rows selected
 MSE:  0.8764257 
F-norm sine theta difference:  8.404142e-05 
Step  181 
 916  rows selected
 MSE:  0.8765772 
F-norm sine theta difference:  0.0002230124 
Step  182 
 916  rows selected
 MSE:  0.8765749 
F-norm sine theta difference:  0.0002158663 
Step  183 
 916  rows selected
 MSE:  0.8765727 
F-norm sine theta difference:  0.0002090281 
Step  184 
 916  rows selected
 MSE:  0.8765707 
F-norm sine theta difference:  0.0002024957 
Step  185 
 916  rows selected
 MSE:  0.8765687 
F-norm sine theta difference:  0.0001962507 
Step  186 
 916  rows selected
 MSE:  0.876567 
F-norm sine theta difference:  0.0001902765 
Step  187 
 917  rows selected
 MSE:  0.8764275 
F-norm sine theta difference:  0.00013675 
Step  188 
 917  rows selected
 MSE:  0.8764267 
F-norm sine theta difference:  0.0001271114 
Step  189 
 917  rows selected
 MSE:  0.8764259 
F-norm sine theta difference:  0.0001184885 
Step  190 
 917  rows selected
 MSE:  0.8764253 
F-norm sine theta difference:  0.0001107788 
Step  191 
 917  rows selected
 MSE:  0.8764248 
F-norm sine theta difference:  0.0001038969 
Step  192 
 917  rows selected
 MSE:  0.8764243 
F-norm sine theta difference:  9.774828e-05 
Step  193 
 917  rows selected
 MSE:  0.8764238 
F-norm sine theta difference:  9.225566e-05 
Step  194 
 917  rows selected
 MSE:  0.8764234 
F-norm sine theta difference:  8.73524e-05 
Step  195 
 917  rows selected
 MSE:  0.8764231 
F-norm sine theta difference:  8.295569e-05 
Step  196 
 917  rows selected
 MSE:  0.8764227 
F-norm sine theta difference:  7.902126e-05 
Step  197 
 917  rows selected
 MSE:  0.8764224 
F-norm sine theta difference:  7.54896e-05 
Step  198 
 917  rows selected
 MSE:  0.8764222 
F-norm sine theta difference:  7.231338e-05 
Step  199 
 917  rows selected
 MSE:  0.8764219 
F-norm sine theta difference:  6.944275e-05 
Step  200 
 917  rows selected
 MSE:  0.8764217 
F-norm sine theta difference:  6.684821e-05 
Step  201 
 917  rows selected
 MSE:  0.8764215 
F-norm sine theta difference:  6.449095e-05 
Step  202 
 917  rows selected
 MSE:  0.8764212 
F-norm sine theta difference:  6.233184e-05 
Step  203 
 917  rows selected
 MSE:  0.8764211 
F-norm sine theta difference:  6.035822e-05 
Step  204 
 916  rows selected
 MSE:  0.8765724 
F-norm sine theta difference:  0.0002126373 
Step  205 
 916  rows selected
 MSE:  0.8765703 
F-norm sine theta difference:  0.00020569 
Step  206 
 916  rows selected
 MSE:  0.8765684 
F-norm sine theta difference:  0.0001990382 
Step  207 
 916  rows selected
 MSE:  0.8765665 
F-norm sine theta difference:  0.0001926857 
Step  208 
 916  rows selected
 MSE:  0.8765648 
F-norm sine theta difference:  0.0001866214 
Step  209 
 917  rows selected
 MSE:  0.8764234 
F-norm sine theta difference:  0.0001163763 
Step  210 
 917  rows selected
 MSE:  0.8764228 
F-norm sine theta difference:  0.0001074301 
Step  211 
 917  rows selected
 MSE:  0.8764223 
F-norm sine theta difference:  9.942331e-05 
Step  212 
 917  rows selected
 MSE:  0.8764218 
F-norm sine theta difference:  9.229881e-05 
Step  213 
 917  rows selected
 MSE:  0.8764215 
F-norm sine theta difference:  8.5865e-05 
Step  214 
 917  rows selected
 MSE:  0.8764211 
F-norm sine theta difference:  8.015599e-05 
Step  215 
 917  rows selected
 MSE:  0.8764208 
F-norm sine theta difference:  7.505841e-05 
Step  216 
 917  rows selected
 MSE:  0.8764206 
F-norm sine theta difference:  7.050692e-05 
Step  217 
 917  rows selected
 MSE:  0.8764203 
F-norm sine theta difference:  6.646076e-05 
Step  218 
 917  rows selected
 MSE:  0.8764201 
F-norm sine theta difference:  6.284525e-05 
Step  219 
 917  rows selected
 MSE:  0.87642 
F-norm sine theta difference:  5.961881e-05 
Step  220 
 917  rows selected
 MSE:  0.8764198 
F-norm sine theta difference:  5.672717e-05 
Step  221 
 917  rows selected
 MSE:  0.8764196 
F-norm sine theta difference:  5.41406e-05 
Step  222 
 917  rows selected
 MSE:  0.8764195 
F-norm sine theta difference:  5.182427e-05 
Step  223 
 916  rows selected
 MSE:  0.8765704 
F-norm sine theta difference:  0.0002077602 
Step  224 
 916  rows selected
 MSE:  0.8765684 
F-norm sine theta difference:  0.0002009229 
Step  225 
 916  rows selected
 MSE:  0.8765665 
F-norm sine theta difference:  0.000194386 
Step  226 
 916  rows selected
 MSE:  0.8765648 
F-norm sine theta difference:  0.0001881467 
Step  227 
 916  rows selected
 MSE:  0.8765631 
F-norm sine theta difference:  0.0001821948 
Step  228 
 917  rows selected
 MSE:  0.8764223 
F-norm sine theta difference:  0.0001150344 
Step  229 
 917  rows selected
 MSE:  0.8764217 
F-norm sine theta difference:  0.0001056472 
Step  230 
 917  rows selected
 MSE:  0.8764212 
F-norm sine theta difference:  9.721538e-05 
Step  231 
 917  rows selected
 MSE:  0.8764208 
F-norm sine theta difference:  8.965441e-05 
Step  232 
 917  rows selected
 MSE:  0.8764204 
F-norm sine theta difference:  8.288756e-05 
Step  233 
 917  rows selected
 MSE:  0.8764201 
F-norm sine theta difference:  7.683321e-05 
Step  234 
 917  rows selected
 MSE:  0.8764199 
F-norm sine theta difference:  7.142236e-05 
Step  235 
 917  rows selected
 MSE:  0.8764196 
F-norm sine theta difference:  6.659345e-05 
Step  236 
 917  rows selected
 MSE:  0.8764194 
F-norm sine theta difference:  6.22805e-05 
Step  237 
 917  rows selected
 MSE:  0.8764193 
F-norm sine theta difference:  5.841521e-05 
Step  238 
 917  rows selected
 MSE:  0.8764191 
F-norm sine theta difference:  5.500596e-05 
Step  239 
 917  rows selected
 MSE:  0.876419 
F-norm sine theta difference:  5.194754e-05 
Step  240 
 917  rows selected
 MSE:  0.8764188 
F-norm sine theta difference:  4.921126e-05 
Step  241 
 917  rows selected
 MSE:  0.8764187 
F-norm sine theta difference:  4.677058e-05 
Step  242 
 917  rows selected
 MSE:  0.8764186 
F-norm sine theta difference:  4.459733e-05 
Step  243 
 916  rows selected
 MSE:  0.8765698 
F-norm sine theta difference:  0.0002067369 
Step  244 
 916  rows selected
 MSE:  0.8765678 
F-norm sine theta difference:  0.0001998845 
Step  245 
 916  rows selected
 MSE:  0.876566 
F-norm sine theta difference:  0.000193348 
Step  246 
 916  rows selected
 MSE:  0.8765643 
F-norm sine theta difference:  0.0001871069 
Step  247 
 916  rows selected
 MSE:  0.8765626 
F-norm sine theta difference:  0.0001811492 
Step  248 
 917  rows selected
 MSE:  0.8764215 
F-norm sine theta difference:  0.0001117483 
Step  249 
 917  rows selected
 MSE:  0.876421 
F-norm sine theta difference:  0.000102367 
Step  250 
 917  rows selected
 MSE:  0.8764205 
F-norm sine theta difference:  9.393499e-05 
Step  251 
 917  rows selected
 MSE:  0.8764202 
F-norm sine theta difference:  8.637819e-05 
Step  252 
 917  rows selected
 MSE:  0.8764198 
F-norm sine theta difference:  7.9594e-05 
Step  253 
 917  rows selected
 MSE:  0.8764196 
F-norm sine theta difference:  7.352288e-05 
Step  254 
 917  rows selected
 MSE:  0.8764193 
F-norm sine theta difference:  6.810821e-05 
Step  255 
 917  rows selected
 MSE:  0.8764191 
F-norm sine theta difference:  6.323658e-05 
Step  256 
 917  rows selected
 MSE:  0.8764189 
F-norm sine theta difference:  5.889839e-05 
Step  257 
 917  rows selected
 MSE:  0.8764188 
F-norm sine theta difference:  5.503404e-05 
Step  258 
 917  rows selected
 MSE:  0.8764186 
F-norm sine theta difference:  5.157032e-05 
Step  259 
 917  rows selected
 MSE:  0.8764185 
F-norm sine theta difference:  4.849145e-05 
Step  260 
 917  rows selected
 MSE:  0.8764184 
F-norm sine theta difference:  4.574548e-05 
Step  261 
 917  rows selected
 MSE:  0.8764183 
F-norm sine theta difference:  4.329054e-05 
Step  262 
 917  rows selected
 MSE:  0.8764182 
F-norm sine theta difference:  4.10991e-05 
Step  263 
 916  rows selected
 MSE:  0.8765695 
F-norm sine theta difference:  0.0002060722 
Step  264 
 916  rows selected
 MSE:  0.8765676 
F-norm sine theta difference:  0.0001992339 
Step  265 
 916  rows selected
 MSE:  0.8765657 
F-norm sine theta difference:  0.0001926991 
Step  266 
 916  rows selected
 MSE:  0.876564 
F-norm sine theta difference:  0.0001864747 
Step  267 
 916  rows selected
 MSE:  0.8765624 
F-norm sine theta difference:  0.0001805379 
Step  268 
 917  rows selected
 MSE:  0.8764212 
F-norm sine theta difference:  0.0001105044 
Step  269 
 917  rows selected
 MSE:  0.8764207 
F-norm sine theta difference:  0.0001010872 
Step  270 
 917  rows selected
 MSE:  0.8764202 
F-norm sine theta difference:  9.261879e-05 
Step  271 
 917  rows selected
 MSE:  0.8764198 
F-norm sine theta difference:  8.501798e-05 
Step  272 
 917  rows selected
 MSE:  0.8764195 
F-norm sine theta difference:  7.823322e-05 
Step  273 
 917  rows selected
 MSE:  0.8764193 
F-norm sine theta difference:  7.20767e-05 
Step  274 
 917  rows selected
 MSE:  0.876419 
F-norm sine theta difference:  6.660647e-05 
Step  275 
 917  rows selected
 MSE:  0.8764188 
F-norm sine theta difference:  6.170485e-05 
Step  276 
 917  rows selected
 MSE:  0.8764187 
F-norm sine theta difference:  5.73318e-05 
Step  277 
 917  rows selected
 MSE:  0.8764185 
F-norm sine theta difference:  5.34169e-05 
Step  278 
 917  rows selected
 MSE:  0.8764184 
F-norm sine theta difference:  4.994131e-05 
Step  279 
 917  rows selected
 MSE:  0.8764183 
F-norm sine theta difference:  4.681228e-05 
Step  280 
 917  rows selected
 MSE:  0.8764182 
F-norm sine theta difference:  4.404142e-05 
Step  281 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.155999e-05 
Step  282 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  3.934884e-05 
Step  283 
 916  rows selected
 MSE:  0.8765694 
F-norm sine theta difference:  0.000205719 
Step  284 
 916  rows selected
 MSE:  0.8765674 
F-norm sine theta difference:  0.0001988865 
Step  285 
 916  rows selected
 MSE:  0.8765656 
F-norm sine theta difference:  0.0001923752 
Step  286 
 916  rows selected
 MSE:  0.8765639 
F-norm sine theta difference:  0.0001861575 
Step  287 
 916  rows selected
 MSE:  0.8765622 
F-norm sine theta difference:  0.0001802247 
Step  288 
 917  rows selected
 MSE:  0.876421 
F-norm sine theta difference:  0.0001099461 
Step  289 
 917  rows selected
 MSE:  0.8764205 
F-norm sine theta difference:  0.0001004986 
Step  290 
 917  rows selected
 MSE:  0.8764201 
F-norm sine theta difference:  9.200192e-05 
Step  291 
 917  rows selected
 MSE:  0.8764197 
F-norm sine theta difference:  8.436875e-05 
Step  292 
 917  rows selected
 MSE:  0.8764194 
F-norm sine theta difference:  7.751475e-05 
Step  293 
 917  rows selected
 MSE:  0.8764191 
F-norm sine theta difference:  7.137802e-05 
Step  294 
 917  rows selected
 MSE:  0.8764189 
F-norm sine theta difference:  6.587564e-05 
Step  295 
 917  rows selected
 MSE:  0.8764187 
F-norm sine theta difference:  6.095111e-05 
Step  296 
 917  rows selected
 MSE:  0.8764185 
F-norm sine theta difference:  5.654785e-05 
Step  297 
 917  rows selected
 MSE:  0.8764184 
F-norm sine theta difference:  5.261449e-05 
Step  298 
 917  rows selected
 MSE:  0.8764183 
F-norm sine theta difference:  4.91016e-05 
Step  299 
 917  rows selected
 MSE:  0.8764182 
F-norm sine theta difference:  4.596944e-05 
Step  300 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.317096e-05 
Step  301 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.067024e-05 
Step  302 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  3.844897e-05 
Step  303 
 916  rows selected
 MSE:  0.8765693 
F-norm sine theta difference:  0.0002055388 
Step  304 
 916  rows selected
 MSE:  0.8765673 
F-norm sine theta difference:  0.0001987192 
Step  305 
 916  rows selected
 MSE:  0.8765655 
F-norm sine theta difference:  0.0001922062 
Step  306 
 916  rows selected
 MSE:  0.8765638 
F-norm sine theta difference:  0.0001859963 
Step  307 
 916  rows selected
 MSE:  0.8765622 
F-norm sine theta difference:  0.0001800488 
Step  308 
 917  rows selected
 MSE:  0.8764209 
F-norm sine theta difference:  0.0001096658 
Step  309 
 917  rows selected
 MSE:  0.8764204 
F-norm sine theta difference:  0.0001001981 
Step  310 
 917  rows selected
 MSE:  0.87642 
F-norm sine theta difference:  9.168654e-05 
Step  311 
 917  rows selected
 MSE:  0.8764196 
F-norm sine theta difference:  8.403846e-05 
Step  312 
 917  rows selected
 MSE:  0.8764193 
F-norm sine theta difference:  7.717215e-05 
Step  313 
 917  rows selected
 MSE:  0.876419 
F-norm sine theta difference:  7.101412e-05 
Step  314 
 917  rows selected
 MSE:  0.8764188 
F-norm sine theta difference:  6.549453e-05 
Step  315 
 917  rows selected
 MSE:  0.8764186 
F-norm sine theta difference:  6.05579e-05 
Step  316 
 917  rows selected
 MSE:  0.8764185 
F-norm sine theta difference:  5.614556e-05 
Step  317 
 917  rows selected
 MSE:  0.8764183 
F-norm sine theta difference:  5.219381e-05 
Step  318 
 917  rows selected
 MSE:  0.8764182 
F-norm sine theta difference:  4.866421e-05 
Step  319 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.552314e-05 
Step  320 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.271361e-05 
Step  321 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  4.021237e-05 
Step  322 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.797118e-05 
Step  323 
 916  rows selected
 MSE:  0.8765693 
F-norm sine theta difference:  0.0002054424 
Step  324 
 916  rows selected
 MSE:  0.8765673 
F-norm sine theta difference:  0.0001986258 
Step  325 
 916  rows selected
 MSE:  0.8765655 
F-norm sine theta difference:  0.0001921187 
Step  326 
 916  rows selected
 MSE:  0.8765638 
F-norm sine theta difference:  0.0001859123 
Step  327 
 916  rows selected
 MSE:  0.8765622 
F-norm sine theta difference:  0.0001799871 
Step  328 
 916  rows selected
 MSE:  0.8765607 
F-norm sine theta difference:  0.0001743264 
Step  329 
 917  rows selected
 MSE:  0.8764217 
F-norm sine theta difference:  0.0001224788 
Step  330 
 917  rows selected
 MSE:  0.8764211 
F-norm sine theta difference:  0.000111841 
Step  331 
 917  rows selected
 MSE:  0.8764206 
F-norm sine theta difference:  0.0001022593 
Step  332 
 917  rows selected
 MSE:  0.8764201 
F-norm sine theta difference:  9.362431e-05 
Step  333 
 917  rows selected
 MSE:  0.8764197 
F-norm sine theta difference:  8.586491e-05 
Step  334 
 917  rows selected
 MSE:  0.8764194 
F-norm sine theta difference:  7.889432e-05 
Step  335 
 917  rows selected
 MSE:  0.8764192 
F-norm sine theta difference:  7.262862e-05 
Step  336 
 917  rows selected
 MSE:  0.8764189 
F-norm sine theta difference:  6.701959e-05 
Step  337 
 917  rows selected
 MSE:  0.8764187 
F-norm sine theta difference:  6.199992e-05 
Step  338 
 917  rows selected
 MSE:  0.8764186 
F-norm sine theta difference:  5.749791e-05 
Step  339 
 917  rows selected
 MSE:  0.8764184 
F-norm sine theta difference:  5.346341e-05 
Step  340 
 917  rows selected
 MSE:  0.8764183 
F-norm sine theta difference:  4.987859e-05 
Step  341 
 917  rows selected
 MSE:  0.8764182 
F-norm sine theta difference:  4.667028e-05 
Step  342 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.379162e-05 
Step  343 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.122981e-05 
Step  344 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  3.893863e-05 
Step  345 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.687986e-05 
Step  346 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.505989e-05 
Step  347 
 917  rows selected
 MSE:  0.8764177 
F-norm sine theta difference:  3.340746e-05 
Step  348 
 916  rows selected
 MSE:  0.8765699 
F-norm sine theta difference:  0.0002074074 
Step  349 
 916  rows selected
 MSE:  0.8765679 
F-norm sine theta difference:  0.000200507 
Step  350 
 916  rows selected
 MSE:  0.876566 
F-norm sine theta difference:  0.0001939166 
Step  351 
 916  rows selected
 MSE:  0.8765643 
F-norm sine theta difference:  0.0001876434 
Step  352 
 916  rows selected
 MSE:  0.8765626 
F-norm sine theta difference:  0.0001816507 
Step  353 
 916  rows selected
 MSE:  0.8765611 
F-norm sine theta difference:  0.0001759187 
Step  354 
 917  rows selected
 MSE:  0.8764214 
F-norm sine theta difference:  0.0001187728 
Step  355 
 917  rows selected
 MSE:  0.8764208 
F-norm sine theta difference:  0.0001084282 
Step  356 
 917  rows selected
 MSE:  0.8764203 
F-norm sine theta difference:  9.912072e-05 
Step  357 
 917  rows selected
 MSE:  0.8764199 
F-norm sine theta difference:  9.074279e-05 
Step  358 
 917  rows selected
 MSE:  0.8764196 
F-norm sine theta difference:  8.321189e-05 
Step  359 
 917  rows selected
 MSE:  0.8764193 
F-norm sine theta difference:  7.644613e-05 
Step  360 
 917  rows selected
 MSE:  0.876419 
F-norm sine theta difference:  7.038875e-05 
Step  361 
 917  rows selected
 MSE:  0.8764188 
F-norm sine theta difference:  6.494346e-05 
Step  362 
 917  rows selected
 MSE:  0.8764186 
F-norm sine theta difference:  6.007377e-05 
Step  363 
 917  rows selected
 MSE:  0.8764184 
F-norm sine theta difference:  5.57178e-05 
Step  364 
 917  rows selected
 MSE:  0.8764183 
F-norm sine theta difference:  5.182161e-05 
Step  365 
 917  rows selected
 MSE:  0.8764182 
F-norm sine theta difference:  4.834009e-05 
Step  366 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.522748e-05 
Step  367 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.245669e-05 
Step  368 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  3.99743e-05 
Step  369 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.776411e-05 
Step  370 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.578629e-05 
Step  371 
 916  rows selected
 MSE:  0.8765695 
F-norm sine theta difference:  0.0002062091 
Step  372 
 916  rows selected
 MSE:  0.8765675 
F-norm sine theta difference:  0.00019935 
Step  373 
 916  rows selected
 MSE:  0.8765657 
F-norm sine theta difference:  0.0001928087 
Step  374 
 916  rows selected
 MSE:  0.8765639 
F-norm sine theta difference:  0.0001865659 
Step  375 
 916  rows selected
 MSE:  0.8765623 
F-norm sine theta difference:  0.0001806057 
Step  376 
 917  rows selected
 MSE:  0.8764207 
F-norm sine theta difference:  0.0001077047 
Step  377 
 917  rows selected
 MSE:  0.8764202 
F-norm sine theta difference:  9.837893e-05 
Step  378 
 917  rows selected
 MSE:  0.8764198 
F-norm sine theta difference:  9.000843e-05 
Step  379 
 917  rows selected
 MSE:  0.8764195 
F-norm sine theta difference:  8.247565e-05 
Step  380 
 917  rows selected
 MSE:  0.8764192 
F-norm sine theta difference:  7.57142e-05 
Step  381 
 917  rows selected
 MSE:  0.8764189 
F-norm sine theta difference:  6.965142e-05 
Step  382 
 917  rows selected
 MSE:  0.8764187 
F-norm sine theta difference:  6.420975e-05 
Step  383 
 917  rows selected
 MSE:  0.8764185 
F-norm sine theta difference:  5.9351e-05 
Step  384 
 917  rows selected
 MSE:  0.8764184 
F-norm sine theta difference:  5.500341e-05 
Step  385 
 917  rows selected
 MSE:  0.8764182 
F-norm sine theta difference:  5.111597e-05 
Step  386 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.764019e-05 
Step  387 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.453973e-05 
Step  388 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  4.177314e-05 
Step  389 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.930536e-05 
Step  390 
 916  rows selected
 MSE:  0.876569 
F-norm sine theta difference:  0.0002045829 
Step  391 
 916  rows selected
 MSE:  0.876567 
F-norm sine theta difference:  0.000197788 
Step  392 
 916  rows selected
 MSE:  0.8765652 
F-norm sine theta difference:  0.0001913125 
Step  393 
 916  rows selected
 MSE:  0.8765635 
F-norm sine theta difference:  0.0001851327 
Step  394 
 916  rows selected
 MSE:  0.8765619 
F-norm sine theta difference:  0.0001792346 
Step  395 
 917  rows selected
 MSE:  0.8764209 
F-norm sine theta difference:  0.0001107619 
Step  396 
 917  rows selected
 MSE:  0.8764204 
F-norm sine theta difference:  0.0001011727 
Step  397 
 917  rows selected
 MSE:  0.87642 
F-norm sine theta difference:  9.254692e-05 
Step  398 
 917  rows selected
 MSE:  0.8764196 
F-norm sine theta difference:  8.479143e-05 
Step  399 
 917  rows selected
 MSE:  0.8764193 
F-norm sine theta difference:  7.782714e-05 
Step  400 
 917  rows selected
 MSE:  0.876419 
F-norm sine theta difference:  7.157792e-05 
Step  401 
 917  rows selected
 MSE:  0.8764188 
F-norm sine theta difference:  6.597358e-05 
Step  402 
 917  rows selected
 MSE:  0.8764186 
F-norm sine theta difference:  6.09303e-05 
Step  403 
 917  rows selected
 MSE:  0.8764184 
F-norm sine theta difference:  5.646646e-05 
Step  404 
 917  rows selected
 MSE:  0.8764183 
F-norm sine theta difference:  5.244999e-05 
Step  405 
 917  rows selected
 MSE:  0.8764182 
F-norm sine theta difference:  4.886154e-05 
Step  406 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.566036e-05 
Step  407 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.280354e-05 
Step  408 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  4.024533e-05 
Step  409 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.796699e-05 
Step  410 
 916  rows selected
 MSE:  0.8765691 
F-norm sine theta difference:  0.0002051709 
Step  411 
 916  rows selected
 MSE:  0.8765672 
F-norm sine theta difference:  0.0001983528 
Step  412 
 916  rows selected
 MSE:  0.8765654 
F-norm sine theta difference:  0.0001918502 
Step  413 
 916  rows selected
 MSE:  0.8765636 
F-norm sine theta difference:  0.0001856531 
Step  414 
 916  rows selected
 MSE:  0.876562 
F-norm sine theta difference:  0.000179721 
Step  415 
 917  rows selected
 MSE:  0.8764209 
F-norm sine theta difference:  0.0001095808 
Step  416 
 917  rows selected
 MSE:  0.8764203 
F-norm sine theta difference:  0.000100102 
Step  417 
 917  rows selected
 MSE:  0.8764199 
F-norm sine theta difference:  9.157762e-05 
Step  418 
 917  rows selected
 MSE:  0.8764196 
F-norm sine theta difference:  8.391522e-05 
Step  419 
 917  rows selected
 MSE:  0.8764192 
F-norm sine theta difference:  7.702633e-05 
Step  420 
 917  rows selected
 MSE:  0.876419 
F-norm sine theta difference:  7.086038e-05 
Step  421 
 917  rows selected
 MSE:  0.8764188 
F-norm sine theta difference:  6.532702e-05 
Step  422 
 917  rows selected
 MSE:  0.8764186 
F-norm sine theta difference:  6.036869e-05 
Step  423 
 917  rows selected
 MSE:  0.8764184 
F-norm sine theta difference:  5.593062e-05 
Step  424 
 917  rows selected
 MSE:  0.8764183 
F-norm sine theta difference:  5.19689e-05 
Step  425 
 917  rows selected
 MSE:  0.8764182 
F-norm sine theta difference:  4.842926e-05 
Step  426 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.526239e-05 
Step  427 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.243988e-05 
Step  428 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  3.992063e-05 
Step  429 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.766932e-05 
Step  430 
 916  rows selected
 MSE:  0.8765692 
F-norm sine theta difference:  0.0002052772 
Step  431 
 916  rows selected
 MSE:  0.8765672 
F-norm sine theta difference:  0.0001984558 
Step  432 
 916  rows selected
 MSE:  0.8765654 
F-norm sine theta difference:  0.0001919525 
Step  433 
 916  rows selected
 MSE:  0.8765637 
F-norm sine theta difference:  0.0001857413 
Step  434 
 916  rows selected
 MSE:  0.8765621 
F-norm sine theta difference:  0.0001798129 
Step  435 
 917  rows selected
 MSE:  0.8764208 
F-norm sine theta difference:  0.0001093753 
Step  436 
 917  rows selected
 MSE:  0.8764203 
F-norm sine theta difference:  9.99102e-05 
Step  437 
 917  rows selected
 MSE:  0.8764199 
F-norm sine theta difference:  9.139674e-05 
Step  438 
 917  rows selected
 MSE:  0.8764195 
F-norm sine theta difference:  8.37432e-05 
Step  439 
 917  rows selected
 MSE:  0.8764192 
F-norm sine theta difference:  7.68674e-05 
Step  440 
 917  rows selected
 MSE:  0.876419 
F-norm sine theta difference:  7.070468e-05 
Step  441 
 917  rows selected
 MSE:  0.8764188 
F-norm sine theta difference:  6.517566e-05 
Step  442 
 917  rows selected
 MSE:  0.8764186 
F-norm sine theta difference:  6.022636e-05 
Step  443 
 917  rows selected
 MSE:  0.8764184 
F-norm sine theta difference:  5.581e-05 
Step  444 
 917  rows selected
 MSE:  0.8764183 
F-norm sine theta difference:  5.1849e-05 
Step  445 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.830196e-05 
Step  446 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.514159e-05 
Step  447 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.233187e-05 
Step  448 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  3.980975e-05 
Step  449 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.756475e-05 
Step  450 
 916  rows selected
 MSE:  0.8765692 
F-norm sine theta difference:  0.0002053003 
Step  451 
 916  rows selected
 MSE:  0.8765672 
F-norm sine theta difference:  0.0001984878 
Step  452 
 916  rows selected
 MSE:  0.8765654 
F-norm sine theta difference:  0.0001919771 
Step  453 
 916  rows selected
 MSE:  0.8765637 
F-norm sine theta difference:  0.0001857714 
Step  454 
 916  rows selected
 MSE:  0.8765621 
F-norm sine theta difference:  0.0001798395 
Step  455 
 917  rows selected
 MSE:  0.8764208 
F-norm sine theta difference:  0.0001093375 
Step  456 
 917  rows selected
 MSE:  0.8764203 
F-norm sine theta difference:  9.986895e-05 
Step  457 
 917  rows selected
 MSE:  0.8764199 
F-norm sine theta difference:  9.134783e-05 
Step  458 
 917  rows selected
 MSE:  0.8764195 
F-norm sine theta difference:  8.369285e-05 
Step  459 
 917  rows selected
 MSE:  0.8764192 
F-norm sine theta difference:  7.681641e-05 
Step  460 
 917  rows selected
 MSE:  0.876419 
F-norm sine theta difference:  7.0649e-05 
Step  461 
 917  rows selected
 MSE:  0.8764187 
F-norm sine theta difference:  6.512151e-05 
Step  462 
 917  rows selected
 MSE:  0.8764186 
F-norm sine theta difference:  6.017129e-05 
Step  463 
 917  rows selected
 MSE:  0.8764184 
F-norm sine theta difference:  5.574204e-05 
Step  464 
 917  rows selected
 MSE:  0.8764183 
F-norm sine theta difference:  5.178264e-05 
Step  465 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.824391e-05 
Step  466 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.508794e-05 
Step  467 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  4.226824e-05 
Step  468 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  3.975465e-05 
Step  469 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.750806e-05 
Step  470 
 916  rows selected
 MSE:  0.8765692 
F-norm sine theta difference:  0.0002053104 
Step  471 
 916  rows selected
 MSE:  0.8765673 
F-norm sine theta difference:  0.0001984926 
Step  472 
 916  rows selected
 MSE:  0.8765654 
F-norm sine theta difference:  0.000191991 
Step  473 
 916  rows selected
 MSE:  0.8765637 
F-norm sine theta difference:  0.0001857825 
Step  474 
 916  rows selected
 MSE:  0.8765621 
F-norm sine theta difference:  0.000179893 
Step  475 
 917  rows selected
 MSE:  0.8764208 
F-norm sine theta difference:  0.0001093254 
Step  476 
 917  rows selected
 MSE:  0.8764203 
F-norm sine theta difference:  9.98554e-05 
Step  477 
 917  rows selected
 MSE:  0.8764199 
F-norm sine theta difference:  9.133264e-05 
Step  478 
 917  rows selected
 MSE:  0.8764195 
F-norm sine theta difference:  8.367338e-05 
Step  479 
 917  rows selected
 MSE:  0.8764192 
F-norm sine theta difference:  7.679224e-05 
Step  480 
 917  rows selected
 MSE:  0.876419 
F-norm sine theta difference:  7.062254e-05 
Step  481 
 917  rows selected
 MSE:  0.8764187 
F-norm sine theta difference:  6.5095e-05 
Step  482 
 917  rows selected
 MSE:  0.8764186 
F-norm sine theta difference:  6.014199e-05 
Step  483 
 917  rows selected
 MSE:  0.8764184 
F-norm sine theta difference:  5.571161e-05 
Step  484 
 917  rows selected
 MSE:  0.8764183 
F-norm sine theta difference:  5.175143e-05 
Step  485 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.821253e-05 
Step  486 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.505058e-05 
Step  487 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  4.223418e-05 
Step  488 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  3.972332e-05 
Step  489 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.747085e-05 
Step  490 
 916  rows selected
 MSE:  0.8765692 
F-norm sine theta difference:  0.0002053149 
Step  491 
 916  rows selected
 MSE:  0.8765673 
F-norm sine theta difference:  0.0001985028 
Step  492 
 916  rows selected
 MSE:  0.8765654 
F-norm sine theta difference:  0.0001920083 
Step  493 
 916  rows selected
 MSE:  0.8765637 
F-norm sine theta difference:  0.0001857895 
Step  494 
 916  rows selected
 MSE:  0.8765621 
F-norm sine theta difference:  0.0001798787 
Step  495 
 917  rows selected
 MSE:  0.8764208 
F-norm sine theta difference:  0.0001093228 
Step  496 
 917  rows selected
 MSE:  0.8764203 
F-norm sine theta difference:  9.984702e-05 
Step  497 
 917  rows selected
 MSE:  0.8764199 
F-norm sine theta difference:  9.132241e-05 
Step  498 
 917  rows selected
 MSE:  0.8764195 
F-norm sine theta difference:  8.366031e-05 
Step  499 
 917  rows selected
 MSE:  0.8764192 
F-norm sine theta difference:  7.678017e-05 
Step  500 
 917  rows selected
 MSE:  0.876419 
F-norm sine theta difference:  7.060677e-05 
Step  501 
 917  rows selected
 MSE:  0.8764187 
F-norm sine theta difference:  6.506738e-05 
Step  502 
 917  rows selected
 MSE:  0.8764186 
F-norm sine theta difference:  6.012286e-05 
Step  503 
 917  rows selected
 MSE:  0.8764184 
F-norm sine theta difference:  5.569039e-05 
Step  504 
 917  rows selected
 MSE:  0.8764183 
F-norm sine theta difference:  5.173028e-05 
Step  505 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.819355e-05 
Step  506 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.503138e-05 
Step  507 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  4.221059e-05 
Step  508 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  3.970509e-05 
Step  509 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.744736e-05 
Step  510 
 916  rows selected
 MSE:  0.8765692 
F-norm sine theta difference:  0.0002053241 
Step  511 
 916  rows selected
 MSE:  0.8765673 
F-norm sine theta difference:  0.0001985002 
Step  512 
 916  rows selected
 MSE:  0.8765654 
F-norm sine theta difference:  0.0001920018 
Step  513 
 916  rows selected
 MSE:  0.8765637 
F-norm sine theta difference:  0.0001857992 
Step  514 
 916  rows selected
 MSE:  0.8765621 
F-norm sine theta difference:  0.0001798793 
Step  515 
 917  rows selected
 MSE:  0.8764208 
F-norm sine theta difference:  0.0001093189 
Step  516 
 917  rows selected
 MSE:  0.8764203 
F-norm sine theta difference:  9.984106e-05 
Step  517 
 917  rows selected
 MSE:  0.8764199 
F-norm sine theta difference:  9.134484e-05 
Step  518 
 917  rows selected
 MSE:  0.8764195 
F-norm sine theta difference:  8.364747e-05 
Step  519 
 917  rows selected
 MSE:  0.8764192 
F-norm sine theta difference:  7.677129e-05 
Step  520 
 917  rows selected
 MSE:  0.876419 
F-norm sine theta difference:  7.059424e-05 
Step  521 
 917  rows selected
 MSE:  0.8764187 
F-norm sine theta difference:  6.506016e-05 
Step  522 
 917  rows selected
 MSE:  0.8764186 
F-norm sine theta difference:  6.010841e-05 
Step  523 
 917  rows selected
 MSE:  0.8764184 
F-norm sine theta difference:  5.567055e-05 
Step  524 
 917  rows selected
 MSE:  0.8764183 
F-norm sine theta difference:  5.171201e-05 
Step  525 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.816992e-05 
Step  526 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.501534e-05 
Step  527 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  4.219063e-05 
Step  528 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  3.967838e-05 
Step  529 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.742678e-05 
Step  530 
 916  rows selected
 MSE:  0.8765692 
F-norm sine theta difference:  0.0002053187 
Step  531 
 916  rows selected
 MSE:  0.8765673 
F-norm sine theta difference:  0.0001985013 
Step  532 
 916  rows selected
 MSE:  0.8765654 
F-norm sine theta difference:  0.0001920069 
Step  533 
 916  rows selected
 MSE:  0.8765637 
F-norm sine theta difference:  0.0001858046 
Step  534 
 916  rows selected
 MSE:  0.8765621 
F-norm sine theta difference:  0.0001798839 
Step  535 
 916  rows selected
 MSE:  0.8765606 
F-norm sine theta difference:  0.0001742405 
Step  536 
 917  rows selected
 MSE:  0.8764217 
F-norm sine theta difference:  0.000122282 
Step  537 
 917  rows selected
 MSE:  0.8764211 
F-norm sine theta difference:  0.0001116499 
Step  538 
 917  rows selected
 MSE:  0.8764205 
F-norm sine theta difference:  0.0001020607 
Step  539 
 917  rows selected
 MSE:  0.8764201 
F-norm sine theta difference:  9.342515e-05 
Step  540 
 917  rows selected
 MSE:  0.8764197 
F-norm sine theta difference:  8.566e-05 
Step  541 
 917  rows selected
 MSE:  0.8764194 
F-norm sine theta difference:  7.868111e-05 
Step  542 
 917  rows selected
 MSE:  0.8764191 
F-norm sine theta difference:  7.241778e-05 
Step  543 
 917  rows selected
 MSE:  0.8764189 
F-norm sine theta difference:  6.679902e-05 
Step  544 
 917  rows selected
 MSE:  0.8764187 
F-norm sine theta difference:  6.176656e-05 
Step  545 
 917  rows selected
 MSE:  0.8764185 
F-norm sine theta difference:  5.726008e-05 
Step  546 
 917  rows selected
 MSE:  0.8764184 
F-norm sine theta difference:  5.32295e-05 
Step  547 
 917  rows selected
 MSE:  0.8764182 
F-norm sine theta difference:  4.962449e-05 
Step  548 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.640634e-05 
Step  549 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.353176e-05 
Step  550 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  4.096037e-05 
Step  551 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  3.866767e-05 
Step  552 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.661005e-05 
Step  553 
 917  rows selected
 MSE:  0.8764177 
F-norm sine theta difference:  3.478103e-05 
Step  554 
 917  rows selected
 MSE:  0.8764177 
F-norm sine theta difference:  3.313304e-05 
Step  555 
 916  rows selected
 MSE:  0.8765698 
F-norm sine theta difference:  0.000207349 
Step  556 
 916  rows selected
 MSE:  0.8765679 
F-norm sine theta difference:  0.0002004427 
Step  557 
 916  rows selected
 MSE:  0.876566 
F-norm sine theta difference:  0.0001938653 
Step  558 
 916  rows selected
 MSE:  0.8765642 
F-norm sine theta difference:  0.0001875842 
Step  559 
 916  rows selected
 MSE:  0.8765626 
F-norm sine theta difference:  0.0001815893 
Step  560 
 916  rows selected
 MSE:  0.8765611 
F-norm sine theta difference:  0.0001758646 
Step  561 
 917  rows selected
 MSE:  0.8764214 
F-norm sine theta difference:  0.0001186745 
Step  562 
 917  rows selected
 MSE:  0.8764208 
F-norm sine theta difference:  0.0001083299 
Step  563 
 917  rows selected
 MSE:  0.8764203 
F-norm sine theta difference:  9.901579e-05 
Step  564 
 917  rows selected
 MSE:  0.8764199 
F-norm sine theta difference:  9.063595e-05 
Step  565 
 917  rows selected
 MSE:  0.8764195 
F-norm sine theta difference:  8.310483e-05 
Step  566 
 917  rows selected
 MSE:  0.8764192 
F-norm sine theta difference:  7.634066e-05 
Step  567 
 917  rows selected
 MSE:  0.876419 
F-norm sine theta difference:  7.027574e-05 
Step  568 
 917  rows selected
 MSE:  0.8764188 
F-norm sine theta difference:  6.483069e-05 
Step  569 
 917  rows selected
 MSE:  0.8764186 
F-norm sine theta difference:  5.995836e-05 
Step  570 
 917  rows selected
 MSE:  0.8764184 
F-norm sine theta difference:  5.559904e-05 
Step  571 
 917  rows selected
 MSE:  0.8764183 
F-norm sine theta difference:  5.170011e-05 
Step  572 
 917  rows selected
 MSE:  0.8764182 
F-norm sine theta difference:  4.821655e-05 
Step  573 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.51068e-05 
Step  574 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.232921e-05 
Step  575 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  3.984706e-05 
Step  576 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.76345e-05 
Step  577 
 917  rows selected
 MSE:  0.8764177 
F-norm sine theta difference:  3.566089e-05 
Step  578 
 916  rows selected
 MSE:  0.8765695 
F-norm sine theta difference:  0.0002061712 
Step  579 
 916  rows selected
 MSE:  0.8765675 
F-norm sine theta difference:  0.0001993164 
Step  580 
 916  rows selected
 MSE:  0.8765656 
F-norm sine theta difference:  0.0001927779 
Step  581 
 916  rows selected
 MSE:  0.8765639 
F-norm sine theta difference:  0.0001865366 
Step  582 
 916  rows selected
 MSE:  0.8765623 
F-norm sine theta difference:  0.0001805783 
Step  583 
 917  rows selected
 MSE:  0.8764207 
F-norm sine theta difference:  0.0001076442 
Step  584 
 917  rows selected
 MSE:  0.8764202 
F-norm sine theta difference:  9.832143e-05 
Step  585 
 917  rows selected
 MSE:  0.8764198 
F-norm sine theta difference:  8.995213e-05 
Step  586 
 917  rows selected
 MSE:  0.8764195 
F-norm sine theta difference:  8.24147e-05 
Step  587 
 917  rows selected
 MSE:  0.8764192 
F-norm sine theta difference:  7.565363e-05 
Step  588 
 917  rows selected
 MSE:  0.8764189 
F-norm sine theta difference:  6.957536e-05 
Step  589 
 917  rows selected
 MSE:  0.8764187 
F-norm sine theta difference:  6.415683e-05 
Step  590 
 917  rows selected
 MSE:  0.8764185 
F-norm sine theta difference:  5.92924e-05 
Step  591 
 917  rows selected
 MSE:  0.8764184 
F-norm sine theta difference:  5.493814e-05 
Step  592 
 917  rows selected
 MSE:  0.8764182 
F-norm sine theta difference:  5.105122e-05 
Step  593 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.757588e-05 
Step  594 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.447772e-05 
Step  595 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  4.17057e-05 
Step  596 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.923733e-05 
Step  597 
 916  rows selected
 MSE:  0.876569 
F-norm sine theta difference:  0.0002045555 
Step  598 
 916  rows selected
 MSE:  0.876567 
F-norm sine theta difference:  0.0001977685 
Step  599 
 916  rows selected
 MSE:  0.8765652 
F-norm sine theta difference:  0.000191292 
Step  600 
 916  rows selected
 MSE:  0.8765635 
F-norm sine theta difference:  0.0001851137 
Step  601 
 916  rows selected
 MSE:  0.8765619 
F-norm sine theta difference:  0.0001792142 
Step  602 
 917  rows selected
 MSE:  0.8764209 
F-norm sine theta difference:  0.0001107287 
Step  603 
 917  rows selected
 MSE:  0.8764204 
F-norm sine theta difference:  0.0001011355 
Step  604 
 917  rows selected
 MSE:  0.87642 
F-norm sine theta difference:  9.250851e-05 
Step  605 
 917  rows selected
 MSE:  0.8764196 
F-norm sine theta difference:  8.475815e-05 
Step  606 
 917  rows selected
 MSE:  0.8764193 
F-norm sine theta difference:  7.779681e-05 
Step  607 
 917  rows selected
 MSE:  0.876419 
F-norm sine theta difference:  7.154097e-05 
Step  608 
 917  rows selected
 MSE:  0.8764188 
F-norm sine theta difference:  6.594743e-05 
Step  609 
 917  rows selected
 MSE:  0.8764186 
F-norm sine theta difference:  6.09267e-05 
Step  610 
 917  rows selected
 MSE:  0.8764184 
F-norm sine theta difference:  5.642899e-05 
Step  611 
 917  rows selected
 MSE:  0.8764183 
F-norm sine theta difference:  5.241307e-05 
Step  612 
 917  rows selected
 MSE:  0.8764182 
F-norm sine theta difference:  4.882669e-05 
Step  613 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.562516e-05 
Step  614 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.276088e-05 
Step  615 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  4.023098e-05 
Step  616 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.793097e-05 
Step  617 
 917  rows selected
 MSE:  0.8764177 
F-norm sine theta difference:  3.589108e-05 
Step  618 
 916  rows selected
 MSE:  0.8765694 
F-norm sine theta difference:  0.0002060168 
Step  619 
 916  rows selected
 MSE:  0.8765675 
F-norm sine theta difference:  0.0001991743 
Step  620 
 916  rows selected
 MSE:  0.8765656 
F-norm sine theta difference:  0.0001926459 
Step  621 
 916  rows selected
 MSE:  0.8765639 
F-norm sine theta difference:  0.0001864228 
Step  622 
 916  rows selected
 MSE:  0.8765623 
F-norm sine theta difference:  0.0001804689 
Step  623 
 916  rows selected
 MSE:  0.8765608 
F-norm sine theta difference:  0.0001747906 
Step  624 
 917  rows selected
 MSE:  0.8764216 
F-norm sine theta difference:  0.0001210515 
Step  625 
 917  rows selected
 MSE:  0.876421 
F-norm sine theta difference:  0.0001105118 
Step  626 
 917  rows selected
 MSE:  0.8764204 
F-norm sine theta difference:  0.0001010462 
Step  627 
 917  rows selected
 MSE:  0.87642 
F-norm sine theta difference:  9.246575e-05 
Step  628 
 917  rows selected
 MSE:  0.8764196 
F-norm sine theta difference:  8.47797e-05 
Step  629 
 917  rows selected
 MSE:  0.8764193 
F-norm sine theta difference:  7.787441e-05 
Step  630 
 917  rows selected
 MSE:  0.8764191 
F-norm sine theta difference:  7.167994e-05 
Step  631 
 917  rows selected
 MSE:  0.8764188 
F-norm sine theta difference:  6.612422e-05 
Step  632 
 917  rows selected
 MSE:  0.8764187 
F-norm sine theta difference:  6.114159e-05 
Step  633 
 917  rows selected
 MSE:  0.8764185 
F-norm sine theta difference:  5.66857e-05 
Step  634 
 917  rows selected
 MSE:  0.8764183 
F-norm sine theta difference:  5.270259e-05 
Step  635 
 917  rows selected
 MSE:  0.8764182 
F-norm sine theta difference:  4.91405e-05 
Step  636 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.595615e-05 
Step  637 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.311977e-05 
Step  638 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  4.057416e-05 
Step  639 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.830631e-05 
Step  640 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.628122e-05 
Step  641 
 917  rows selected
 MSE:  0.8764177 
F-norm sine theta difference:  3.446497e-05 
Step  642 
 916  rows selected
 MSE:  0.8765696 
F-norm sine theta difference:  0.0002067388 
Step  643 
 916  rows selected
 MSE:  0.8765676 
F-norm sine theta difference:  0.0001998612 
Step  644 
 916  rows selected
 MSE:  0.8765658 
F-norm sine theta difference:  0.0001932962 
Step  645 
 916  rows selected
 MSE:  0.8765641 
F-norm sine theta difference:  0.0001870328 
Step  646 
 916  rows selected
 MSE:  0.8765624 
F-norm sine theta difference:  0.0001810552 
Step  647 
 916  rows selected
 MSE:  0.8765609 
F-norm sine theta difference:  0.0001753502 
Step  648 
 917  rows selected
 MSE:  0.8764215 
F-norm sine theta difference:  0.0001197114 
Step  649 
 917  rows selected
 MSE:  0.8764209 
F-norm sine theta difference:  0.0001092994 
Step  650 
 917  rows selected
 MSE:  0.8764204 
F-norm sine theta difference:  9.9921e-05 
Step  651 
 917  rows selected
 MSE:  0.87642 
F-norm sine theta difference:  9.147879e-05 
Step  652 
 917  rows selected
 MSE:  0.8764196 
F-norm sine theta difference:  8.388856e-05 
Step  653 
 917  rows selected
 MSE:  0.8764193 
F-norm sine theta difference:  7.70734e-05 
Step  654 
 917  rows selected
 MSE:  0.876419 
F-norm sine theta difference:  7.096111e-05 
Step  655 
 917  rows selected
 MSE:  0.8764188 
F-norm sine theta difference:  6.54704e-05 
Step  656 
 917  rows selected
 MSE:  0.8764186 
F-norm sine theta difference:  6.055841e-05 
Step  657 
 917  rows selected
 MSE:  0.8764185 
F-norm sine theta difference:  5.616057e-05 
Step  658 
 917  rows selected
 MSE:  0.8764183 
F-norm sine theta difference:  5.222712e-05 
Step  659 
 917  rows selected
 MSE:  0.8764182 
F-norm sine theta difference:  4.871047e-05 
Step  660 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.557476e-05 
Step  661 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.276788e-05 
Step  662 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  4.026635e-05 
Step  663 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.802962e-05 
Step  664 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.602998e-05 
Step  665 
 917  rows selected
 MSE:  0.8764177 
F-norm sine theta difference:  3.424724e-05 
Step  666 
 916  rows selected
 MSE:  0.8765697 
F-norm sine theta difference:  0.0002068244 
Step  667 
 916  rows selected
 MSE:  0.8765677 
F-norm sine theta difference:  0.0001999499 
Step  668 
 916  rows selected
 MSE:  0.8765658 
F-norm sine theta difference:  0.0001933853 
Step  669 
 916  rows selected
 MSE:  0.8765641 
F-norm sine theta difference:  0.0001871208 
Step  670 
 916  rows selected
 MSE:  0.8765625 
F-norm sine theta difference:  0.0001811328 
Step  671 
 916  rows selected
 MSE:  0.8765609 
F-norm sine theta difference:  0.000175433 
Step  672 
 917  rows selected
 MSE:  0.8764215 
F-norm sine theta difference:  0.0001195606 
Step  673 
 917  rows selected
 MSE:  0.8764209 
F-norm sine theta difference:  0.000109175 
Step  674 
 917  rows selected
 MSE:  0.8764204 
F-norm sine theta difference:  9.978127e-05 
Step  675 
 917  rows selected
 MSE:  0.8764199 
F-norm sine theta difference:  9.13472e-05 
Step  676 
 917  rows selected
 MSE:  0.8764196 
F-norm sine theta difference:  8.37646e-05 
Step  677 
 917  rows selected
 MSE:  0.8764193 
F-norm sine theta difference:  7.695462e-05 
Step  678 
 917  rows selected
 MSE:  0.876419 
F-norm sine theta difference:  7.084114e-05 
Step  679 
 917  rows selected
 MSE:  0.8764188 
F-norm sine theta difference:  6.535931e-05 
Step  680 
 917  rows selected
 MSE:  0.8764186 
F-norm sine theta difference:  6.045304e-05 
Step  681 
 917  rows selected
 MSE:  0.8764185 
F-norm sine theta difference:  5.605756e-05 
Step  682 
 917  rows selected
 MSE:  0.8764183 
F-norm sine theta difference:  5.212876e-05 
Step  683 
 917  rows selected
 MSE:  0.8764182 
F-norm sine theta difference:  4.861821e-05 
Step  684 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.548097e-05 
Step  685 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.268362e-05 
Step  686 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  4.018407e-05 
Step  687 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.794476e-05 
Step  688 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.595527e-05 
Step  689 
 917  rows selected
 MSE:  0.8764177 
F-norm sine theta difference:  3.419964e-05 
Step  690 
 916  rows selected
 MSE:  0.8765697 
F-norm sine theta difference:  0.0002068515 
Step  691 
 916  rows selected
 MSE:  0.8765677 
F-norm sine theta difference:  0.0001999704 
Step  692 
 916  rows selected
 MSE:  0.8765658 
F-norm sine theta difference:  0.0001934042 
Step  693 
 916  rows selected
 MSE:  0.8765641 
F-norm sine theta difference:  0.0001871425 
Step  694 
 916  rows selected
 MSE:  0.8765625 
F-norm sine theta difference:  0.0001811643 
Step  695 
 916  rows selected
 MSE:  0.876561 
F-norm sine theta difference:  0.0001754596 
Step  696 
 917  rows selected
 MSE:  0.8764215 
F-norm sine theta difference:  0.0001195465 
Step  697 
 917  rows selected
 MSE:  0.8764209 
F-norm sine theta difference:  0.0001091349 
Step  698 
 917  rows selected
 MSE:  0.8764204 
F-norm sine theta difference:  9.975743e-05 
Step  699 
 917  rows selected
 MSE:  0.8764199 
F-norm sine theta difference:  9.132073e-05 
Step  700 
 917  rows selected
 MSE:  0.8764196 
F-norm sine theta difference:  8.374034e-05 
Step  701 
 917  rows selected
 MSE:  0.8764193 
F-norm sine theta difference:  7.69195e-05 
Step  702 
 917  rows selected
 MSE:  0.876419 
F-norm sine theta difference:  7.081077e-05 
Step  703 
 917  rows selected
 MSE:  0.8764188 
F-norm sine theta difference:  6.5321e-05 
Step  704 
 917  rows selected
 MSE:  0.8764186 
F-norm sine theta difference:  6.041388e-05 
Step  705 
 917  rows selected
 MSE:  0.8764185 
F-norm sine theta difference:  5.602427e-05 
Step  706 
 917  rows selected
 MSE:  0.8764183 
F-norm sine theta difference:  5.209349e-05 
Step  707 
 917  rows selected
 MSE:  0.8764182 
F-norm sine theta difference:  4.858528e-05 
Step  708 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.544681e-05 
Step  709 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.264485e-05 
Step  710 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  4.014539e-05 
Step  711 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.791533e-05 
Step  712 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.59127e-05 
Step  713 
 917  rows selected
 MSE:  0.8764177 
F-norm sine theta difference:  3.412564e-05 
Step  714 
 916  rows selected
 MSE:  0.8765697 
F-norm sine theta difference:  0.0002068501 
Step  715 
 916  rows selected
 MSE:  0.8765677 
F-norm sine theta difference:  0.0001999798 
Step  716 
 916  rows selected
 MSE:  0.8765659 
F-norm sine theta difference:  0.0001934261 
Step  717 
 916  rows selected
 MSE:  0.8765641 
F-norm sine theta difference:  0.0001871545 
Step  718 
 916  rows selected
 MSE:  0.8765625 
F-norm sine theta difference:  0.0001811762 
Step  719 
 916  rows selected
 MSE:  0.876561 
F-norm sine theta difference:  0.0001754684 
Step  720 
 917  rows selected
 MSE:  0.8764215 
F-norm sine theta difference:  0.0001195438 
Step  721 
 917  rows selected
 MSE:  0.8764209 
F-norm sine theta difference:  0.0001091316 
Step  722 
 917  rows selected
 MSE:  0.8764204 
F-norm sine theta difference:  9.975129e-05 
Step  723 
 917  rows selected
 MSE:  0.8764199 
F-norm sine theta difference:  9.131032e-05 
Step  724 
 917  rows selected
 MSE:  0.8764196 
F-norm sine theta difference:  8.372475e-05 
Step  725 
 917  rows selected
 MSE:  0.8764193 
F-norm sine theta difference:  7.689511e-05 
Step  726 
 917  rows selected
 MSE:  0.876419 
F-norm sine theta difference:  7.079099e-05 
Step  727 
 917  rows selected
 MSE:  0.8764188 
F-norm sine theta difference:  6.530748e-05 
Step  728 
 917  rows selected
 MSE:  0.8764186 
F-norm sine theta difference:  6.039855e-05 
Step  729 
 917  rows selected
 MSE:  0.8764184 
F-norm sine theta difference:  5.600046e-05 
Step  730 
 917  rows selected
 MSE:  0.8764183 
F-norm sine theta difference:  5.207234e-05 
Step  731 
 917  rows selected
 MSE:  0.8764182 
F-norm sine theta difference:  4.8557e-05 
Step  732 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.542674e-05 
Step  733 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.26225e-05 
Step  734 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  4.012342e-05 
Step  735 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.788819e-05 
Step  736 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.59083e-05 
Step  737 
 917  rows selected
 MSE:  0.8764177 
F-norm sine theta difference:  3.410209e-05 
Step  738 
 916  rows selected
 MSE:  0.8765697 
F-norm sine theta difference:  0.0002068542 
Step  739 
 916  rows selected
 MSE:  0.8765677 
F-norm sine theta difference:  0.0001999823 
Step  740 
 916  rows selected
 MSE:  0.8765659 
F-norm sine theta difference:  0.0001934198 
Step  741 
 916  rows selected
 MSE:  0.8765641 
F-norm sine theta difference:  0.000187159 
Step  742 
 916  rows selected
 MSE:  0.8765625 
F-norm sine theta difference:  0.0001811814 
Step  743 
 916  rows selected
 MSE:  0.876561 
F-norm sine theta difference:  0.0001754731 
Step  744 
 917  rows selected
 MSE:  0.8764215 
F-norm sine theta difference:  0.0001195474 
Step  745 
 917  rows selected
 MSE:  0.8764209 
F-norm sine theta difference:  0.0001091321 
Step  746 
 917  rows selected
 MSE:  0.8764204 
F-norm sine theta difference:  9.974756e-05 
Step  747 
 917  rows selected
 MSE:  0.8764199 
F-norm sine theta difference:  9.130688e-05 
Step  748 
 917  rows selected
 MSE:  0.8764196 
F-norm sine theta difference:  8.371568e-05 
Step  749 
 917  rows selected
 MSE:  0.8764193 
F-norm sine theta difference:  7.689661e-05 
Step  750 
 917  rows selected
 MSE:  0.876419 
F-norm sine theta difference:  7.078491e-05 
Step  751 
 917  rows selected
 MSE:  0.8764188 
F-norm sine theta difference:  6.529615e-05 
Step  752 
 917  rows selected
 MSE:  0.8764186 
F-norm sine theta difference:  6.038839e-05 
Step  753 
 917  rows selected
 MSE:  0.8764184 
F-norm sine theta difference:  5.59869e-05 
Step  754 
 917  rows selected
 MSE:  0.8764183 
F-norm sine theta difference:  5.205428e-05 
Step  755 
 917  rows selected
 MSE:  0.8764182 
F-norm sine theta difference:  4.854197e-05 
Step  756 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.540689e-05 
Step  757 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.260562e-05 
Step  758 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  4.010371e-05 
Step  759 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.786474e-05 
Step  760 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.58722e-05 
Step  761 
 916  rows selected
 MSE:  0.8765694 
F-norm sine theta difference:  0.0002060994 
Step  762 
 916  rows selected
 MSE:  0.8765674 
F-norm sine theta difference:  0.0001992439 
Step  763 
 916  rows selected
 MSE:  0.8765656 
F-norm sine theta difference:  0.0001927054 
Step  764 
 916  rows selected
 MSE:  0.8765639 
F-norm sine theta difference:  0.0001864575 
Step  765 
 916  rows selected
 MSE:  0.8765623 
F-norm sine theta difference:  0.0001805005 
Step  766 
 917  rows selected
 MSE:  0.8764207 
F-norm sine theta difference:  0.0001077676 
Step  767 
 917  rows selected
 MSE:  0.8764202 
F-norm sine theta difference:  9.840859e-05 
Step  768 
 917  rows selected
 MSE:  0.8764198 
F-norm sine theta difference:  9.006696e-05 
Step  769 
 917  rows selected
 MSE:  0.8764195 
F-norm sine theta difference:  8.253548e-05 
Step  770 
 917  rows selected
 MSE:  0.8764192 
F-norm sine theta difference:  7.577116e-05 
Step  771 
 917  rows selected
 MSE:  0.8764189 
F-norm sine theta difference:  6.970523e-05 
Step  772 
 917  rows selected
 MSE:  0.8764187 
F-norm sine theta difference:  6.427503e-05 
Step  773 
 917  rows selected
 MSE:  0.8764185 
F-norm sine theta difference:  5.940073e-05 
Step  774 
 917  rows selected
 MSE:  0.8764184 
F-norm sine theta difference:  5.504783e-05 
Step  775 
 917  rows selected
 MSE:  0.8764182 
F-norm sine theta difference:  5.115429e-05 
Step  776 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.768025e-05 
Step  777 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.457574e-05 
Step  778 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  4.180715e-05 
Step  779 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.933672e-05 
Step  780 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.712458e-05 
Step  781 
 916  rows selected
 MSE:  0.8765693 
F-norm sine theta difference:  0.0002054514 
Step  782 
 916  rows selected
 MSE:  0.8765673 
F-norm sine theta difference:  0.0001986338 
Step  783 
 916  rows selected
 MSE:  0.8765655 
F-norm sine theta difference:  0.0001921268 
Step  784 
 916  rows selected
 MSE:  0.8765638 
F-norm sine theta difference:  0.0001859196 
Step  785 
 916  rows selected
 MSE:  0.8765622 
F-norm sine theta difference:  0.0001799937 
Step  786 
 916  rows selected
 MSE:  0.8765606 
F-norm sine theta difference:  0.0001743357 
Step  787 
 917  rows selected
 MSE:  0.8764217 
F-norm sine theta difference:  0.0001220558 
Step  788 
 917  rows selected
 MSE:  0.876421 
F-norm sine theta difference:  0.000111431 
Step  789 
 917  rows selected
 MSE:  0.8764205 
F-norm sine theta difference:  0.0001018572 
Step  790 
 917  rows selected
 MSE:  0.8764201 
F-norm sine theta difference:  9.324184e-05 
Step  791 
 917  rows selected
 MSE:  0.8764197 
F-norm sine theta difference:  8.549109e-05 
Step  792 
 917  rows selected
 MSE:  0.8764194 
F-norm sine theta difference:  7.853099e-05 
Step  793 
 917  rows selected
 MSE:  0.8764191 
F-norm sine theta difference:  7.227413e-05 
Step  794 
 917  rows selected
 MSE:  0.8764189 
F-norm sine theta difference:  6.666853e-05 
Step  795 
 917  rows selected
 MSE:  0.8764187 
F-norm sine theta difference:  6.164493e-05 
Step  796 
 917  rows selected
 MSE:  0.8764185 
F-norm sine theta difference:  5.714684e-05 
Step  797 
 917  rows selected
 MSE:  0.8764184 
F-norm sine theta difference:  5.312622e-05 
Step  798 
 917  rows selected
 MSE:  0.8764182 
F-norm sine theta difference:  4.952255e-05 
Step  799 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.627445e-05 
Step  800 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.345193e-05 
Step  801 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  4.088912e-05 
Step  802 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  3.860694e-05 
Step  803 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.655311e-05 
Step  804 
 917  rows selected
 MSE:  0.8764177 
F-norm sine theta difference:  3.472002e-05 
Step  805 
 916  rows selected
 MSE:  0.8765696 
F-norm sine theta difference:  0.0002066559 
Step  806 
 916  rows selected
 MSE:  0.8765676 
F-norm sine theta difference:  0.000199773 
Step  807 
 916  rows selected
 MSE:  0.8765657 
F-norm sine theta difference:  0.0001932086 
Step  808 
 916  rows selected
 MSE:  0.876564 
F-norm sine theta difference:  0.0001869441 
Step  809 
 916  rows selected
 MSE:  0.8765624 
F-norm sine theta difference:  0.0001809642 
Step  810 
 917  rows selected
 MSE:  0.8764207 
F-norm sine theta difference:  0.0001066946 
Step  811 
 917  rows selected
 MSE:  0.8764202 
F-norm sine theta difference:  9.747294e-05 
Step  812 
 917  rows selected
 MSE:  0.8764198 
F-norm sine theta difference:  8.917988e-05 
Step  813 
 917  rows selected
 MSE:  0.8764194 
F-norm sine theta difference:  8.172721e-05 
Step  814 
 917  rows selected
 MSE:  0.8764191 
F-norm sine theta difference:  7.503688e-05 
Step  815 
 917  rows selected
 MSE:  0.8764189 
F-norm sine theta difference:  6.903772e-05 
Step  816 
 917  rows selected
 MSE:  0.8764187 
F-norm sine theta difference:  6.366026e-05 
Step  817 
 917  rows selected
 MSE:  0.8764185 
F-norm sine theta difference:  5.884919e-05 
Step  818 
 917  rows selected
 MSE:  0.8764184 
F-norm sine theta difference:  5.454731e-05 
Step  819 
 917  rows selected
 MSE:  0.8764182 
F-norm sine theta difference:  5.069743e-05 
Step  820 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.726207e-05 
Step  821 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.420168e-05 
Step  822 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  4.145959e-05 
Step  823 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.901861e-05 
Step  824 
 916  rows selected
 MSE:  0.876569 
F-norm sine theta difference:  0.0002046471 
Step  825 
 916  rows selected
 MSE:  0.876567 
F-norm sine theta difference:  0.0001978459 
Step  826 
 916  rows selected
 MSE:  0.8765652 
F-norm sine theta difference:  0.0001913787 
Step  827 
 916  rows selected
 MSE:  0.8765635 
F-norm sine theta difference:  0.0001851965 
Step  828 
 916  rows selected
 MSE:  0.8765619 
F-norm sine theta difference:  0.0001792938 
Step  829 
 917  rows selected
 MSE:  0.8764209 
F-norm sine theta difference:  0.0001105467 
Step  830 
 917  rows selected
 MSE:  0.8764204 
F-norm sine theta difference:  0.0001009762 
Step  831 
 917  rows selected
 MSE:  0.8764199 
F-norm sine theta difference:  9.236137e-05 
Step  832 
 917  rows selected
 MSE:  0.8764196 
F-norm sine theta difference:  8.462028e-05 
Step  833 
 917  rows selected
 MSE:  0.8764193 
F-norm sine theta difference:  7.766366e-05 
Step  834 
 917  rows selected
 MSE:  0.876419 
F-norm sine theta difference:  7.142507e-05 
Step  835 
 917  rows selected
 MSE:  0.8764188 
F-norm sine theta difference:  6.58283e-05 
Step  836 
 917  rows selected
 MSE:  0.8764186 
F-norm sine theta difference:  6.081957e-05 
Step  837 
 917  rows selected
 MSE:  0.8764184 
F-norm sine theta difference:  5.633918e-05 
Step  838 
 917  rows selected
 MSE:  0.8764183 
F-norm sine theta difference:  5.232692e-05 
Step  839 
 917  rows selected
 MSE:  0.8764182 
F-norm sine theta difference:  4.874606e-05 
Step  840 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.555548e-05 
Step  841 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.269236e-05 
Step  842 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  4.014597e-05 
Step  843 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.786866e-05 
Step  844 
 916  rows selected
 MSE:  0.8765691 
F-norm sine theta difference:  0.0002051766 
Step  845 
 916  rows selected
 MSE:  0.8765672 
F-norm sine theta difference:  0.0001983588 
Step  846 
 916  rows selected
 MSE:  0.8765654 
F-norm sine theta difference:  0.0001918535 
Step  847 
 916  rows selected
 MSE:  0.8765636 
F-norm sine theta difference:  0.0001856532 
Step  848 
 916  rows selected
 MSE:  0.876562 
F-norm sine theta difference:  0.0001797295 
Step  849 
 917  rows selected
 MSE:  0.8764208 
F-norm sine theta difference:  0.0001095207 
Step  850 
 917  rows selected
 MSE:  0.8764203 
F-norm sine theta difference:  0.0001000473 
Step  851 
 917  rows selected
 MSE:  0.8764199 
F-norm sine theta difference:  9.15224e-05 
Step  852 
 917  rows selected
 MSE:  0.8764195 
F-norm sine theta difference:  8.386495e-05 
Step  853 
 917  rows selected
 MSE:  0.8764192 
F-norm sine theta difference:  7.698045e-05 
Step  854 
 917  rows selected
 MSE:  0.876419 
F-norm sine theta difference:  7.081026e-05 
Step  855 
 917  rows selected
 MSE:  0.8764188 
F-norm sine theta difference:  6.527569e-05 
Step  856 
 917  rows selected
 MSE:  0.8764186 
F-norm sine theta difference:  6.031924e-05 
Step  857 
 917  rows selected
 MSE:  0.8764184 
F-norm sine theta difference:  5.588472e-05 
Step  858 
 917  rows selected
 MSE:  0.8764183 
F-norm sine theta difference:  5.191568e-05 
Step  859 
 917  rows selected
 MSE:  0.8764182 
F-norm sine theta difference:  4.838e-05 
Step  860 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.521851e-05 
Step  861 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.239514e-05 
Step  862 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  3.98748e-05 
Step  863 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.762995e-05 
Step  864 
 916  rows selected
 MSE:  0.8765692 
F-norm sine theta difference:  0.000205268 
Step  865 
 916  rows selected
 MSE:  0.8765672 
F-norm sine theta difference:  0.0001984544 
Step  866 
 916  rows selected
 MSE:  0.8765654 
F-norm sine theta difference:  0.0001919545 
Step  867 
 916  rows selected
 MSE:  0.8765637 
F-norm sine theta difference:  0.0001857414 
Step  868 
 916  rows selected
 MSE:  0.8765621 
F-norm sine theta difference:  0.0001798169 
Step  869 
 917  rows selected
 MSE:  0.8764208 
F-norm sine theta difference:  0.0001093533 
Step  870 
 917  rows selected
 MSE:  0.8764203 
F-norm sine theta difference:  9.988827e-05 
Step  871 
 917  rows selected
 MSE:  0.8764199 
F-norm sine theta difference:  9.137433e-05 
Step  872 
 917  rows selected
 MSE:  0.8764195 
F-norm sine theta difference:  8.372209e-05 
Step  873 
 917  rows selected
 MSE:  0.8764192 
F-norm sine theta difference:  7.684365e-05 
Step  874 
 917  rows selected
 MSE:  0.876419 
F-norm sine theta difference:  7.068184e-05 
Step  875 
 917  rows selected
 MSE:  0.8764188 
F-norm sine theta difference:  6.515246e-05 
Step  876 
 917  rows selected
 MSE:  0.8764186 
F-norm sine theta difference:  6.020243e-05 
Step  877 
 917  rows selected
 MSE:  0.8764184 
F-norm sine theta difference:  5.576603e-05 
Step  878 
 917  rows selected
 MSE:  0.8764183 
F-norm sine theta difference:  5.181665e-05 
Step  879 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.82798e-05 
Step  880 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.512658e-05 
Step  881 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  4.23042e-05 
Step  882 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  3.9785e-05 
Step  883 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.754075e-05 
Step  884 
 916  rows selected
 MSE:  0.8765692 
F-norm sine theta difference:  0.0002052959 
Step  885 
 916  rows selected
 MSE:  0.8765672 
F-norm sine theta difference:  0.0001984531 
Step  886 
 916  rows selected
 MSE:  0.8765654 
F-norm sine theta difference:  0.0001919767 
Step  887 
 916  rows selected
 MSE:  0.8765637 
F-norm sine theta difference:  0.0001857718 
Step  888 
 916  rows selected
 MSE:  0.8765621 
F-norm sine theta difference:  0.000179843 
Step  889 
 917  rows selected
 MSE:  0.8764208 
F-norm sine theta difference:  0.0001093199 
Step  890 
 917  rows selected
 MSE:  0.8764203 
F-norm sine theta difference:  9.984993e-05 
Step  891 
 917  rows selected
 MSE:  0.8764199 
F-norm sine theta difference:  9.133223e-05 
Step  892 
 917  rows selected
 MSE:  0.8764195 
F-norm sine theta difference:  8.367723e-05 
Step  893 
 917  rows selected
 MSE:  0.8764192 
F-norm sine theta difference:  7.679137e-05 
Step  894 
 917  rows selected
 MSE:  0.876419 
F-norm sine theta difference:  7.063688e-05 
Step  895 
 917  rows selected
 MSE:  0.8764187 
F-norm sine theta difference:  6.506867e-05 
Step  896 
 917  rows selected
 MSE:  0.8764186 
F-norm sine theta difference:  6.016107e-05 
Step  897 
 917  rows selected
 MSE:  0.8764184 
F-norm sine theta difference:  5.573259e-05 
Step  898 
 917  rows selected
 MSE:  0.8764183 
F-norm sine theta difference:  5.177374e-05 
Step  899 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.823546e-05 
Step  900 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.507567e-05 
Step  901 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  4.22586e-05 
Step  902 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  3.974157e-05 
Step  903 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.749642e-05 
Step  904 
 916  rows selected
 MSE:  0.8765692 
F-norm sine theta difference:  0.0002053034 
Step  905 
 916  rows selected
 MSE:  0.8765673 
F-norm sine theta difference:  0.0001984891 
Step  906 
 916  rows selected
 MSE:  0.8765654 
F-norm sine theta difference:  0.000191988 
Step  907 
 916  rows selected
 MSE:  0.8765637 
F-norm sine theta difference:  0.0001857839 
Step  908 
 916  rows selected
 MSE:  0.8765621 
F-norm sine theta difference:  0.0001798588 
Step  909 
 917  rows selected
 MSE:  0.8764208 
F-norm sine theta difference:  0.000109317 
Step  910 
 917  rows selected
 MSE:  0.8764203 
F-norm sine theta difference:  9.984235e-05 
Step  911 
 917  rows selected
 MSE:  0.8764199 
F-norm sine theta difference:  9.132761e-05 
Step  912 
 917  rows selected
 MSE:  0.8764195 
F-norm sine theta difference:  8.366197e-05 
Step  913 
 917  rows selected
 MSE:  0.8764192 
F-norm sine theta difference:  7.678718e-05 
Step  914 
 917  rows selected
 MSE:  0.876419 
F-norm sine theta difference:  7.061807e-05 
Step  915 
 917  rows selected
 MSE:  0.8764187 
F-norm sine theta difference:  6.508703e-05 
Step  916 
 917  rows selected
 MSE:  0.8764186 
F-norm sine theta difference:  6.013594e-05 
Step  917 
 917  rows selected
 MSE:  0.8764184 
F-norm sine theta difference:  5.570366e-05 
Step  918 
 917  rows selected
 MSE:  0.8764183 
F-norm sine theta difference:  5.174097e-05 
Step  919 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.820586e-05 
Step  920 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.504733e-05 
Step  921 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  4.222484e-05 
Step  922 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  3.971067e-05 
Step  923 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.746577e-05 
Step  924 
 916  rows selected
 MSE:  0.8765692 
F-norm sine theta difference:  0.0002053105 
Step  925 
 916  rows selected
 MSE:  0.8765673 
F-norm sine theta difference:  0.0001984972 
Step  926 
 916  rows selected
 MSE:  0.8765654 
F-norm sine theta difference:  0.0001919955 
Step  927 
 916  rows selected
 MSE:  0.8765637 
F-norm sine theta difference:  0.0001857872 
Step  928 
 916  rows selected
 MSE:  0.8765621 
F-norm sine theta difference:  0.0001798645 
Step  929 
 917  rows selected
 MSE:  0.8764208 
F-norm sine theta difference:  0.0001093151 
Step  930 
 917  rows selected
 MSE:  0.8764203 
F-norm sine theta difference:  9.983882e-05 
Step  931 
 917  rows selected
 MSE:  0.8764199 
F-norm sine theta difference:  9.131496e-05 
Step  932 
 917  rows selected
 MSE:  0.8764195 
F-norm sine theta difference:  8.364572e-05 
Step  933 
 917  rows selected
 MSE:  0.8764192 
F-norm sine theta difference:  7.678413e-05 
Step  934 
 917  rows selected
 MSE:  0.876419 
F-norm sine theta difference:  7.060219e-05 
Step  935 
 917  rows selected
 MSE:  0.8764187 
F-norm sine theta difference:  6.507205e-05 
Step  936 
 917  rows selected
 MSE:  0.8764186 
F-norm sine theta difference:  6.011691e-05 
Step  937 
 917  rows selected
 MSE:  0.8764184 
F-norm sine theta difference:  5.568554e-05 
Step  938 
 917  rows selected
 MSE:  0.8764183 
F-norm sine theta difference:  5.172362e-05 
Step  939 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.819726e-05 
Step  940 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.502451e-05 
Step  941 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  4.220679e-05 
Step  942 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  3.968967e-05 
Step  943 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.744455e-05 
Step  944 
 916  rows selected
 MSE:  0.8765692 
F-norm sine theta difference:  0.0002053169 
Step  945 
 916  rows selected
 MSE:  0.8765673 
F-norm sine theta difference:  0.0001985041 
Step  946 
 916  rows selected
 MSE:  0.8765654 
F-norm sine theta difference:  0.0001920014 
Step  947 
 916  rows selected
 MSE:  0.8765637 
F-norm sine theta difference:  0.0001857825 
Step  948 
 916  rows selected
 MSE:  0.8765621 
F-norm sine theta difference:  0.0001798768 
Step  949 
 917  rows selected
 MSE:  0.8764208 
F-norm sine theta difference:  0.0001093149 
Step  950 
 917  rows selected
 MSE:  0.8764203 
F-norm sine theta difference:  9.98373e-05 
Step  951 
 917  rows selected
 MSE:  0.8764199 
F-norm sine theta difference:  9.131373e-05 
Step  952 
 917  rows selected
 MSE:  0.8764195 
F-norm sine theta difference:  8.364679e-05 
Step  953 
 917  rows selected
 MSE:  0.8764192 
F-norm sine theta difference:  7.676369e-05 
Step  954 
 917  rows selected
 MSE:  0.876419 
F-norm sine theta difference:  7.059211e-05 
Step  955 
 917  rows selected
 MSE:  0.8764187 
F-norm sine theta difference:  6.505675e-05 
Step  956 
 917  rows selected
 MSE:  0.8764186 
F-norm sine theta difference:  6.010557e-05 
Step  957 
 917  rows selected
 MSE:  0.8764184 
F-norm sine theta difference:  5.567241e-05 
Step  958 
 917  rows selected
 MSE:  0.8764183 
F-norm sine theta difference:  5.170976e-05 
Step  959 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.817396e-05 
Step  960 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.500821e-05 
Step  961 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  4.219001e-05 
Step  962 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  3.967374e-05 
Step  963 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.742654e-05 
Step  964 
 916  rows selected
 MSE:  0.8765692 
F-norm sine theta difference:  0.00020532 
Step  965 
 916  rows selected
 MSE:  0.8765673 
F-norm sine theta difference:  0.0001985038 
Step  966 
 916  rows selected
 MSE:  0.8765654 
F-norm sine theta difference:  0.0001920069 
Step  967 
 916  rows selected
 MSE:  0.8765637 
F-norm sine theta difference:  0.0001858413 
Step  968 
 916  rows selected
 MSE:  0.8765621 
F-norm sine theta difference:  0.0001798817 
Step  969 
 916  rows selected
 MSE:  0.8765606 
F-norm sine theta difference:  0.0001742237 
Step  970 
 917  rows selected
 MSE:  0.8764217 
F-norm sine theta difference:  0.0001222943 
Step  971 
 917  rows selected
 MSE:  0.8764211 
F-norm sine theta difference:  0.0001116484 
Step  972 
 917  rows selected
 MSE:  0.8764205 
F-norm sine theta difference:  0.0001020605 
Step  973 
 917  rows selected
 MSE:  0.8764201 
F-norm sine theta difference:  9.344202e-05 
Step  974 
 917  rows selected
 MSE:  0.8764197 
F-norm sine theta difference:  8.565747e-05 
Step  975 
 917  rows selected
 MSE:  0.8764194 
F-norm sine theta difference:  7.867179e-05 
Step  976 
 917  rows selected
 MSE:  0.8764191 
F-norm sine theta difference:  7.242041e-05 
Step  977 
 917  rows selected
 MSE:  0.8764189 
F-norm sine theta difference:  6.680318e-05 
Step  978 
 917  rows selected
 MSE:  0.8764187 
F-norm sine theta difference:  6.176929e-05 
Step  979 
 917  rows selected
 MSE:  0.8764185 
F-norm sine theta difference:  5.725638e-05 
Step  980 
 917  rows selected
 MSE:  0.8764184 
F-norm sine theta difference:  5.322951e-05 
Step  981 
 917  rows selected
 MSE:  0.8764182 
F-norm sine theta difference:  4.962767e-05 
Step  982 
 917  rows selected
 MSE:  0.8764181 
F-norm sine theta difference:  4.640894e-05 
Step  983 
 917  rows selected
 MSE:  0.876418 
F-norm sine theta difference:  4.353197e-05 
Step  984 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  4.096357e-05 
Step  985 
 917  rows selected
 MSE:  0.8764179 
F-norm sine theta difference:  3.866766e-05 
Step  986 
 917  rows selected
 MSE:  0.8764178 
F-norm sine theta difference:  3.659888e-05 
Step  987 
 917  rows selected
 MSE:  0.8764177 
F-norm sine theta difference:  3.478192e-05 
Step  988 
 917  rows selected
 MSE:  0.8764177 
F-norm sine theta difference:  3.312302e-05 
Step  989 
 916  rows selected
 MSE:  0.8765698 
F-norm sine theta difference:  0.000207348 
Step  990 
 916  rows selected
 MSE:  0.8765679 
F-norm sine theta difference:  0.0002004645 
Step  991 
 916  rows selected
 MSE:  0.876566 
F-norm sine theta difference:  0.0001938701 
Step  992 
 916  rows selected
 MSE:  0.8765642 
F-norm sine theta difference:  0.0001875808 
Step  993 
 916  rows selected
 MSE:  0.8765626 
F-norm sine theta difference:  0.0001815887 
Step  994 
 916  rows selected
 MSE:  0.8765611 
F-norm sine theta difference:  0.0001758632 
Step  995 
 917  rows selected
 MSE:  0.8764214 
F-norm sine theta difference:  0.0001186657 
Step  996 
 917  rows selected
 MSE:  0.8764208 
F-norm sine theta difference:  0.0001083259 
Step  997 
 917  rows selected
 MSE:  0.8764203 
F-norm sine theta difference:  9.901679e-05 
Step  998 
 917  rows selected
 MSE:  0.8764199 
F-norm sine theta difference:  9.063499e-05 
Step  999 
 917  rows selected
 MSE:  0.8764195 
F-norm sine theta difference:  8.310214e-05 
Step  1000 
 917  rows selected
 MSE:  0.8764192 
F-norm sine theta difference:  7.634041e-05 
Max iteration number is hit.

res.s = softImpute(X,1)
plot(res.s$v,res.p$V_cur,main="v from prime vs softimpute")
abline(a=0,b=-1,col=2)

cor(cbind(v,res.p$V_cur,res.s$v))

           v                      
v  1.0000000  0.9878358 -0.9867028
   0.9878358  1.0000000 -0.9983583
  -0.9867028 -0.9983583  1.0000000

Interestingly, the results from trace.it=TRUE in primePCA suggest it is maybe entering an infinite loop in this case. I guess that maybe this is probably because of changes in the rows selected, and indeed was able to avoid it by setting very large thresh_sigma=1e100. (In this case it appears to just filter out the rows with only one entry; in the other case it sometimes filters out one additional row).

Session information

sessionInfo()

R version 3.6.0 (2019-04-26)
Platform: x86_64-apple-darwin15.6.0 (64-bit)
Running under: macOS Mojave 10.14.4

Matrix products: default
BLAS:   /Library/Frameworks/R.framework/Versions/3.6/Resources/lib/libRblas.0.dylib
LAPACK: /Library/Frameworks/R.framework/Versions/3.6/Resources/lib/libRlapack.dylib

locale:
[1] en_US.UTF-8/en_US.UTF-8/en_US.UTF-8/C/en_US.UTF-8/en_US.UTF-8

attached base packages:
[1] stats     graphics  grDevices utils     datasets  methods   base     

other attached packages:
[1] softImpute_1.4 Matrix_1.2-17  primePCA_1.0  

loaded via a namespace (and not attached):
 [1] workflowr_1.4.0 Rcpp_1.0.2      lattice_0.20-38 digest_0.6.20  
 [5] rprojroot_1.3-2 MASS_7.3-51.4   grid_3.6.0      backports_1.1.4
 [9] git2r_0.26.1    magrittr_1.5    evaluate_0.14   stringi_1.4.3  
[13] fs_1.3.1        whisker_0.3-2   rmarkdown_1.14  tools_3.6.0    
[17] stringr_1.4.0   glue_1.3.1      xfun_0.8        yaml_2.2.0     
[21] compiler_3.6.0  htmltools_0.3.6 knitr_1.23