Stepwise Covariate Model-selection (SCM) method

covarSearchAuto(
  fit,
  varsVec,
  covarsVec,
  pVal = list(fwd = 0.05, bck = 0.01),
  covInformation = NULL,
  catCovariates = NULL,
  searchType = c("scm", "forward", "backward"),
  restart = FALSE
)

Arguments

fit

an nlmixr 'fit' object

varsVec

a list of candidate variables to which the covariates could be added

covarsVec

a list of candidate covariates that need to be tested

pVal

a named list with names 'fwd' and 'bck' for specifying the p-values for the forward and backward searches, respectively

covInformation

a list containing additionl information on the variables-covariates pairs that should be passed on to addCovMultiple function

catCovariates

a list of covariates that should be treated as categorical

searchType

one of 'scm', 'forward' and 'backward' to specify the covariate search method; default is 'scm'

restart

a boolean that controls if the search should be restarted; default is FALSE

Value

A list summarizing the covariate selection steps and output; This list has the "summaryTable" for the overall summary of the covariate selection as well as "resFwd" for the forward selection method and "resBck" for the backward selection method.

Author

Vipul Mann, Matthew Fidler

Examples


# \donttest{

one.cmt <- function() {
  ini({
    ## You may label each parameter with a comment
    tka <- 0.45 # Log Ka
    tcl <- log(c(0, 2.7, 100)) # Log Cl
    ## This works with interactive models
    ## You may also label the preceding line with label("label text")
    tv <- 3.45; label("log V")
    ## the label("Label name") works with all models
    eta.ka ~ 0.6
    eta.cl ~ 0.3
    eta.v ~ 0.1
    add.sd <- 0.7
  })
  model({
    ka <- exp(tka + eta.ka)
    cl <- exp(tcl + eta.cl)
    v <- exp(tv + eta.v)
    linCmt() ~ add(add.sd)
  })
}

fit <- nlmixr(one.cmt, theo_sd,"focei")
#>  parameter labels from comments will be replaced by 'label()'
#> Key: U: Unscaled Parameters; X: Back-transformed parameters; G: Gill difference gradient approximation
#> F: Forward difference gradient approximation
#> C: Central difference gradient approximation
#> M: Mixed forward and central difference gradient approximation
#> Unscaled parameters for Omegas=chol(solve(omega));
#> Diagonals are transformed, as specified by foceiControl(diagXform=)
#> |-----+---------------+-----------+-----------+-----------+-----------|
#> |    #| Objective Fun |       tka |       tcl |        tv |    add.sd |
#> |.....................|        o1 |        o2 |        o3 |...........|
#> |    1|     133.57512 |    -1.000 |   -0.6378 |     1.000 |   -0.8333 |
#> |.....................|   -0.5425 |   -0.3992 |   -0.1145 |...........|
#> |    U|     133.57512 |    0.4500 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    X|     133.57512 |     1.568 |     2.700 |     31.50 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    G|    Gill Diff. |   -0.9310 |    -1.614 |    -3.052 |     1.541 |
#> |.....................|    -11.80 |    -35.24 |    -34.65 |...........|
#> |    2|     122.59020 |   -0.9817 |   -0.6062 |     1.060 |   -0.8636 |
#> |.....................|   -0.3110 |    0.2924 |    0.5654 |...........|
#> |    U|      122.5902 |    0.4683 |     1.025 |     3.510 |    0.6894 |
#> |.....................|     1.399 |     2.286 |     2.987 |...........|
#> |    X|      122.5902 |     1.597 |     2.787 |     33.44 |    0.6894 |
#> |.....................|     1.399 |     2.286 |     2.987 |...........|
#> |    F| Forward Diff. |   -0.9193 |     14.79 |     70.12 |    -4.948 |
#> |.....................|     14.22 |     16.76 |     13.93 |...........|
#> |    3|     691.01138 |   -0.9592 |   -0.7976 |    0.1049 |   -0.8098 |
#> |.....................|   -0.3897 |    0.4190 |    0.7258 |...........|
#> |    U|     691.01138 |    0.4908 |    0.8335 |     2.555 |    0.7082 |
#> |.....................|     1.310 |     2.457 |     3.272 |...........|
#> |    X|     691.01138 |     1.634 |     2.301 |     12.87 |    0.7082 |
#> |.....................|     1.310 |     2.457 |     3.272 |...........|
#> |    4|     121.02313 |   -0.9805 |   -0.6255 |    0.9681 |   -0.8571 |
#> |.....................|   -0.3296 |    0.2704 |    0.5472 |...........|
#> |    U|     121.02313 |    0.4695 |     1.006 |     3.418 |    0.6917 |
#> |.....................|     1.378 |     2.256 |     2.955 |...........|
#> |    X|     121.02313 |     1.599 |     2.733 |     30.51 |    0.6917 |
#> |.....................|     1.378 |     2.256 |     2.955 |...........|
#> |    F| Forward Diff. |     2.644 |    -6.902 |    -53.13 |    -3.008 |
#> |.....................|     13.05 |     15.51 |     9.450 |...........|
#> |    5|     118.40944 |   -0.9856 |   -0.6239 |     1.019 |   -0.8463 |
#> |.....................|   -0.3724 |    0.2115 |    0.5032 |...........|
#> |    U|     118.40944 |    0.4644 |     1.007 |     3.469 |    0.6955 |
#> |.....................|     1.329 |     2.176 |     2.877 |...........|
#> |    X|     118.40944 |     1.591 |     2.738 |     32.12 |    0.6955 |
#> |.....................|     1.329 |     2.176 |     2.877 |...........|
#> |    F| Forward Diff. |   0.01257 |  -0.06271 |     11.65 |    -1.181 |
#> |.....................|     7.396 |     11.24 |     6.682 |...........|
#> |    6|     117.95102 |   -0.9860 |   -0.6177 |    0.9748 |   -0.8413 |
#> |.....................|   -0.4126 |    0.1437 |    0.4615 |...........|
#> |    U|     117.95102 |    0.4640 |     1.013 |     3.425 |    0.6972 |
#> |.....................|     1.284 |     2.085 |     2.803 |...........|
#> |    X|     117.95102 |     1.590 |     2.755 |     30.72 |    0.6972 |
#> |.....................|     1.284 |     2.085 |     2.803 |...........|
#> |    F| Forward Diff. |     1.122 |    -2.134 |    -37.05 |    0.6672 |
#> |.....................|     3.102 |     7.185 |     4.243 |...........|
#> |    7|     117.01192 |   -0.9844 |   -0.6189 |     1.027 |   -0.8580 |
#> |.....................|   -0.4206 |   0.07306 |    0.4170 |...........|
#> |    U|     117.01192 |    0.4656 |     1.012 |     3.477 |    0.6914 |
#> |.....................|     1.275 |     1.989 |     2.723 |...........|
#> |    X|     117.01192 |     1.593 |     2.752 |     32.35 |    0.6914 |
#> |.....................|     1.275 |     1.989 |     2.723 |...........|
#> |    F| Forward Diff. |   -0.2405 |     1.324 |     17.06 |    -1.389 |
#> |.....................|     1.899 |     2.064 |     1.794 |...........|
#> |    8|     117.12874 |   -0.9866 |   -0.6555 |     1.005 |   -0.8409 |
#> |.....................|   -0.4185 |   0.01390 |    0.3507 |...........|
#> |    U|     117.12874 |    0.4634 |    0.9756 |     3.455 |    0.6973 |
#> |.....................|     1.277 |     1.909 |     2.606 |...........|
#> |    X|     117.12874 |     1.590 |     2.653 |     31.66 |    0.6973 |
#> |.....................|     1.277 |     1.909 |     2.606 |...........|
#> |    9|     116.86111 |   -0.9850 |   -0.6329 |     1.006 |   -0.8508 |
#> |.....................|   -0.4213 |   0.05044 |    0.3921 |...........|
#> |    U|     116.86111 |    0.4650 |    0.9982 |     3.456 |    0.6939 |
#> |.....................|     1.274 |     1.959 |     2.679 |...........|
#> |    X|     116.86111 |     1.592 |     2.713 |     31.68 |    0.6939 |
#> |.....................|     1.274 |     1.959 |     2.679 |...........|
#> |    F| Forward Diff. |    0.1372 |    -4.279 |    -4.745 |   -0.1588 |
#> |.....................|     1.829 |    0.4197 |   -0.2277 |...........|
#> |   10|     116.90243 |   -0.9853 |   -0.5936 |     1.006 |   -0.8456 |
#> |.....................|   -0.4367 |   0.04760 |    0.3910 |...........|
#> |    U|     116.90243 |    0.4647 |     1.037 |     3.456 |    0.6957 |
#> |.....................|     1.256 |     1.955 |     2.677 |...........|
#> |    X|     116.90243 |     1.592 |     2.822 |     31.68 |    0.6957 |
#> |.....................|     1.256 |     1.955 |     2.677 |...........|
#> |   11|     116.81300 |   -0.9853 |   -0.6177 |     1.012 |   -0.8493 |
#> |.....................|   -0.4275 |   0.04920 |    0.3921 |...........|
#> |    U|       116.813 |    0.4647 |     1.013 |     3.462 |    0.6944 |
#> |.....................|     1.267 |     1.957 |     2.679 |...........|
#> |    X|       116.813 |     1.592 |     2.755 |     31.88 |    0.6944 |
#> |.....................|     1.267 |     1.957 |     2.679 |...........|
#> |    F| Forward Diff. |   0.04146 |    0.5982 |     2.027 |   -0.1930 |
#> |.....................|     1.293 |    0.4341 |   -0.1919 |...........|
#> |   12|     116.81643 |   -0.9859 |   -0.6188 |     1.005 |   -0.8484 |
#> |.....................|   -0.4420 |   0.04884 |    0.3991 |...........|
#> |    U|     116.81643 |    0.4641 |     1.012 |     3.455 |    0.6947 |
#> |.....................|     1.250 |     1.957 |     2.692 |...........|
#> |    X|     116.81643 |     1.591 |     2.752 |     31.66 |    0.6947 |
#> |.....................|     1.250 |     1.957 |     2.692 |...........|
#> |   13|     116.81366 |   -0.9854 |   -0.6194 |     1.006 |   -0.8487 |
#> |.....................|   -0.4322 |   0.04799 |    0.3932 |...........|
#> |    U|     116.81366 |    0.4646 |     1.012 |     3.456 |    0.6946 |
#> |.....................|     1.262 |     1.955 |     2.681 |...........|
#> |    X|     116.81366 |     1.591 |     2.750 |     31.69 |    0.6946 |
#> |.....................|     1.262 |     1.955 |     2.681 |...........|
#> |   14|     116.80890 |   -0.9853 |   -0.6186 |     1.009 |   -0.8490 |
#> |.....................|   -0.4295 |   0.04853 |    0.3924 |...........|
#> |    U|      116.8089 |    0.4647 |     1.012 |     3.459 |    0.6945 |
#> |.....................|     1.265 |     1.956 |     2.680 |...........|
#> |    X|      116.8089 |     1.592 |     2.752 |     31.78 |    0.6945 |
#> |.....................|     1.265 |     1.956 |     2.680 |...........|
#> |    F| Forward Diff. |   0.09967 |    0.1293 |   -0.9650 |    0.1356 |
#> |.....................|     1.065 |    0.2446 |   -0.1725 |...........|
#> |   15|     116.80676 |   -0.9856 |   -0.6189 |     1.011 |   -0.8494 |
#> |.....................|   -0.4323 |   0.04789 |    0.3929 |...........|
#> |    U|     116.80676 |    0.4644 |     1.012 |     3.461 |    0.6944 |
#> |.....................|     1.261 |     1.955 |     2.680 |...........|
#> |    X|     116.80676 |     1.591 |     2.752 |     31.86 |    0.6944 |
#> |.....................|     1.261 |     1.955 |     2.680 |...........|
#> |    F| Forward Diff. |   0.01623 |    0.1762 |     1.448 |  0.001944 |
#> |.....................|    0.8101 |    0.3560 |   -0.1495 |...........|
#> |   16|     116.80511 |   -0.9857 |   -0.6196 |     1.009 |   -0.8499 |
#> |.....................|   -0.4347 |   0.04738 |    0.3939 |...........|
#> |    U|     116.80511 |    0.4643 |     1.012 |     3.459 |    0.6942 |
#> |.....................|     1.259 |     1.955 |     2.682 |...........|
#> |    X|     116.80511 |     1.591 |     2.750 |     31.77 |    0.6942 |
#> |.....................|     1.259 |     1.955 |     2.682 |...........|
#> |    F| Forward Diff. |   0.06298 |   -0.1883 |    -1.085 |  -0.05009 |
#> |.....................|    0.4485 |    0.2102 |  -0.08332 |...........|
#> |   17|     116.80401 |   -0.9859 |   -0.6193 |     1.011 |   -0.8500 |
#> |.....................|   -0.4369 |   0.04655 |    0.3962 |...........|
#> |    U|     116.80401 |    0.4641 |     1.012 |     3.461 |    0.6942 |
#> |.....................|     1.256 |     1.954 |     2.686 |...........|
#> |    X|     116.80401 |     1.591 |     2.750 |     31.84 |    0.6942 |
#> |.....................|     1.256 |     1.954 |     2.686 |...........|
#> |    F| Forward Diff. |-0.0009677 |  0.002269 |    0.9503 |   -0.2533 |
#> |.....................|    0.1402 |    0.3095 | -0.009911 |...........|
#> |   18|     116.80364 |   -0.9861 |   -0.6189 |     1.010 |   -0.8474 |
#> |.....................|   -0.4369 |   0.04466 |    0.3982 |...........|
#> |    U|     116.80364 |    0.4639 |     1.012 |     3.460 |    0.6951 |
#> |.....................|     1.256 |     1.951 |     2.690 |...........|
#> |    X|     116.80364 |     1.590 |     2.752 |     31.81 |    0.6951 |
#> |.....................|     1.256 |     1.951 |     2.690 |...........|
#> |    F| Forward Diff. |   0.01764 |   0.05231 |   0.02747 |    0.2443 |
#> |.....................|    0.1370 |   0.07969 |   0.09639 |...........|
#> |   19|     116.80372 |   -0.9864 |   -0.6195 |     1.009 |   -0.8504 |
#> |.....................|   -0.4386 |   0.04367 |    0.3970 |...........|
#> |    U|     116.80372 |    0.4636 |     1.012 |     3.459 |    0.6940 |
#> |.....................|     1.254 |     1.950 |     2.688 |...........|
#> |    X|     116.80372 |     1.590 |     2.750 |     31.80 |    0.6940 |
#> |.....................|     1.254 |     1.950 |     2.688 |...........|
#> |   20|     116.80348 |   -0.9862 |   -0.6192 |     1.010 |   -0.8488 |
#> |.....................|   -0.4377 |   0.04420 |    0.3976 |...........|
#> |    U|     116.80348 |    0.4638 |     1.012 |     3.460 |    0.6946 |
#> |.....................|     1.255 |     1.950 |     2.689 |...........|
#> |    X|     116.80348 |     1.590 |     2.751 |     31.80 |    0.6946 |
#> |.....................|     1.255 |     1.950 |     2.689 |...........|
#> |    F| Forward Diff. |   0.01066 |  -0.05164 |   -0.1358 |   0.07351 |
#> |.....................|    0.1166 |   0.04721 |   0.07105 |...........|
#> |   21|     116.80394 |   -0.9863 |   -0.6188 |     1.011 |   -0.8494 |
#> |.....................|   -0.4387 |   0.04380 |    0.3970 |...........|
#> |    U|     116.80394 |    0.4637 |     1.012 |     3.461 |    0.6944 |
#> |.....................|     1.254 |     1.950 |     2.688 |...........|
#> |    X|     116.80394 |     1.590 |     2.752 |     31.84 |    0.6944 |
#> |.....................|     1.254 |     1.950 |     2.688 |...........|
#> |   22|     116.80348 |   -0.9862 |   -0.6192 |     1.010 |   -0.8488 |
#> |.....................|   -0.4377 |   0.04420 |    0.3976 |...........|
#> |    U|     116.80348 |    0.4638 |     1.012 |     3.460 |    0.6946 |
#> |.....................|     1.255 |     1.950 |     2.689 |...........|
#> |    X|     116.80348 |     1.590 |     2.751 |     31.80 |    0.6946 |
#> |.....................|     1.255 |     1.950 |     2.689 |...........|
#> calculating covariance matrix
#> done
#> Calculating residuals/tables
#> done
#> Warning: initial ETAs were nudged; (can control by foceiControl(etaNudge=., etaNudge2=))
#> Warning: ETAs were reset to zero during optimization; (Can control by foceiControl(resetEtaP=.))
#> Warning: last objective function was not at minimum, possible problems in optimization
#> Warning: gradient problems with initial estimate and covariance; see $scaleInfo
RxODE::.rxWithWd(tempdir(), {# with temporary directory

covarSearchAuto(fit, varsVec = c("ka", "cl"),
    covarsVec = c("WT", "SEX"), catCovariates = c("SEX"))

})
#> Warning: some covariates are not in the dataset: 'WT', ''
#> 
#> ── starting forward search... ──────────────────────────────────────────────────
#>  added centered_WT*cov_WT_ka to ka's equation in the model
#>  updated value: ka<-exp(tka+centered_WT*cov_WT_ka+eta.ka)
#> → creating full model...
#> → pruning branches (`if`/`else`)...
#>  done
#> → loading into symengine environment...
#>  done
#> → creating full model...
#> → pruning branches (`if`/`else`)...
#>  done
#> → loading into symengine environment...
#>  done
#> → calculate jacobian
#> 
#> → calculate ∂(f)/∂(η)
#> 
#> → calculate ∂(R²)/∂(η)
#> 
#> → finding duplicate expressions in inner model...
#> 
#> → optimizing duplicate expressions in inner model...
#> 
#> → finding duplicate expressions in EBE model...
#> 
#> → optimizing duplicate expressions in EBE model...
#> 
#> → compiling inner model...
#>  
#>  done
#> → finding duplicate expressions in FD model...
#> 
#> → compiling EBE model...
#>  
#>  done
#> → compiling events FD model...
#>  
#>  done
#> Key: U: Unscaled Parameters; X: Back-transformed parameters; G: Gill difference gradient approximation
#> F: Forward difference gradient approximation
#> C: Central difference gradient approximation
#> M: Mixed forward and central difference gradient approximation
#> Unscaled parameters for Omegas=chol(solve(omega));
#> Diagonals are transformed, as specified by foceiControl(diagXform=)
#> |-----+---------------+-----------+-----------+-----------+-----------|
#> |    #| Objective Fun |       tka |       tcl |        tv |    add.sd |
#> |.....................|centered_WT | cov_WT_ka |        o1 |        o2 |
#> |.....................|        o3 |...........|...........|...........|
#> |    1|     133.57512 |   -0.7391 |   -0.4242 |     1.000 |   -0.5942 |
#> |.....................|   -0.4203 |    -1.000 |   -0.3413 |   -0.2167 |
#> |.....................|   0.03089 |...........|...........|...........|
#> |    U|     133.57512 |    0.4500 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|     1.000 |     0.000 |     1.136 |     1.351 |
#> |.....................|     1.778 |...........|...........|...........|
#> |    X|     133.57512 |     1.568 |     2.700 |     31.50 |    0.7000 |
#> |.....................|     2.718 |     1.000 |     1.136 |     1.351 |
#> |.....................|     1.778 |...........|...........|...........|
#> |    G|    Gill Diff. |   -0.9310 |    -1.614 |    -3.052 |     1.591 |
#> |.....................| -0.001938 |   -0.9310 |    -11.78 |    -35.27 |
#> |.....................|    -34.78 |...........|...........|...........|
#> |    2|     122.56663 |   -0.7209 |   -0.3926 |     1.060 |   -0.6254 |
#> |.....................|   -0.4201 |   -0.9818 |   -0.1106 |    0.4739 |
#> |.....................|    0.7118 |...........|...........|...........|
#> |    U|     122.56663 |    0.4682 |     1.025 |     3.510 |    0.6891 |
#> |.....................|     1.000 |   0.01823 |     1.398 |     2.284 |
#> |.....................|     2.989 |...........|...........|...........|
#> |    X|     122.56663 |     1.597 |     2.787 |     33.44 |    0.6891 |
#> |.....................|     2.719 |     1.018 |     1.398 |     2.284 |
#> |.....................|     2.989 |...........|...........|...........|
#> |    F| Forward Diff. |    0.5883 |     14.89 |     69.34 |    -5.082 |
#> |.....................|   0.01707 |    0.5885 |     14.10 |     16.71 |
#> |.....................|     13.90 |...........|...........|...........|
#> |    3|     690.01754 |   -0.7198 |   -0.5879 |    0.1045 |   -0.5693 |
#> |.....................|   -0.4204 |   -0.9806 |   -0.1910 |    0.5963 |
#> |.....................|    0.8691 |...........|...........|...........|
#> |    U|     690.01754 |    0.4694 |    0.8295 |     2.554 |    0.7087 |
#> |.....................|    0.9999 |   0.01936 |     1.307 |     2.450 |
#> |.....................|     3.269 |...........|...........|...........|
#> |    X|     690.01754 |     1.599 |     2.292 |     12.86 |    0.7087 |
#> |.....................|     2.718 |     1.020 |     1.307 |     2.450 |
#> |.....................|     3.269 |...........|...........|...........|
#> |    4|     121.05724 |   -0.7217 |   -0.4123 |    0.9681 |   -0.6186 |
#> |.....................|   -0.4202 |   -0.9826 |   -0.1293 |    0.4518 |
#> |.....................|    0.6935 |...........|...........|...........|
#> |    U|     121.05724 |    0.4674 |     1.005 |     3.418 |    0.6914 |
#> |.....................|     1.000 |   0.01745 |     1.377 |     2.254 |
#> |.....................|     2.957 |...........|...........|...........|
#> |    X|     121.05724 |     1.596 |     2.732 |     30.51 |    0.6914 |
#> |.....................|     2.719 |     1.018 |     1.377 |     2.254 |
#> |.....................|     2.957 |...........|...........|...........|
#> |    F| Forward Diff. |     3.837 |    -6.944 |    -53.83 |    -3.090 |
#> |.....................|   0.06934 |     3.838 |     13.37 |     15.43 |
#> |.....................|     9.539 |...........|...........|...........|
#> |    5|     118.41302 |   -0.7303 |   -0.4110 |     1.020 |   -0.6076 |
#> |.....................|   -0.4203 |   -0.9912 |   -0.1722 |    0.3939 |
#> |.....................|    0.6500 |...........|...........|...........|
#> |    U|     118.41302 |    0.4588 |     1.007 |     3.470 |    0.6953 |
#> |.....................|     1.000 |  0.008841 |     1.328 |     2.176 |
#> |.....................|     2.879 |...........|...........|...........|
#> |    X|     118.41302 |     1.582 |     2.736 |     32.12 |    0.6953 |
#> |.....................|     2.718 |     1.009 |     1.328 |     2.176 |
#> |.....................|     2.879 |...........|...........|...........|
#> |    F| Forward Diff. |    0.2193 |   -0.3076 |     11.77 |    -1.219 |
#> |.....................|-0.0007891 |    0.2195 |     7.249 |     11.25 |
#> |.....................|     6.750 |...........|...........|...........|
#> |    6|     117.95957 |   -0.7313 |   -0.4033 |    0.9747 |   -0.6024 |
#> |.....................|   -0.4203 |   -0.9922 |   -0.2116 |    0.3262 |
#> |.....................|    0.6080 |...........|...........|...........|
#> |    U|     117.95957 |    0.4578 |     1.014 |     3.425 |    0.6971 |
#> |.....................|     1.000 |  0.007833 |     1.284 |     2.085 |
#> |.....................|     2.805 |...........|...........|...........|
#> |    X|     117.95957 |     1.581 |     2.757 |     30.71 |    0.6971 |
#> |.....................|     2.718 |     1.008 |     1.284 |     2.085 |
#> |.....................|     2.805 |...........|...........|...........|
#> |    F| Forward Diff. |     1.235 |    -1.853 |    -37.21 |    0.1988 |
#> |.....................|   0.01043 |     1.235 |     3.123 |     7.245 |
#> |.....................|     4.285 |...........|...........|...........|
#> |    7|     117.01527 |   -0.7254 |   -0.4049 |     1.027 |   -0.6142 |
#> |.....................|   -0.4200 |   -0.9862 |   -0.2186 |    0.2552 |
#> |.....................|    0.5634 |...........|...........|...........|
#> |    U|     117.01527 |    0.4638 |     1.013 |     3.477 |    0.6930 |
#> |.....................|     1.000 |   0.01375 |     1.276 |     1.989 |
#> |.....................|     2.725 |...........|...........|...........|
#> |    X|     117.01527 |     1.590 |     2.753 |     32.36 |    0.6930 |
#> |.....................|     2.719 |     1.014 |     1.276 |     1.989 |
#> |.....................|     2.725 |...........|...........|...........|
#> |    F| Forward Diff. |    0.4612 |     1.530 |     17.00 |   -0.8240 |
#> |.....................|  0.009037 |    0.4613 |     2.046 |     2.040 |
#> |.....................|     1.907 |...........|...........|...........|
#> |    8|     117.25439 |   -0.7495 |   -0.4529 |     1.005 |   -0.6159 |
#> |.....................|   -0.4203 |    -1.010 |   -0.2219 |    0.2056 |
#> |.....................|    0.5036 |...........|...........|...........|
#> |    U|     117.25439 |    0.4396 |    0.9646 |     3.455 |    0.6924 |
#> |.....................|     1.000 |  -0.01039 |     1.272 |     1.922 |
#> |.....................|     2.619 |...........|...........|...........|
#> |    X|     117.25439 |     1.552 |     2.624 |     31.67 |    0.6924 |
#> |.....................|     2.718 |    0.9897 |     1.272 |     1.922 |
#> |.....................|     2.619 |...........|...........|...........|
#> |    9|     116.86499 |   -0.7327 |   -0.4199 |     1.006 |   -0.6140 |
#> |.....................|   -0.4201 |   -0.9935 |   -0.2213 |    0.2393 |
#> |.....................|    0.5447 |...........|...........|...........|
#> |    U|     116.86499 |    0.4565 |    0.9976 |     3.456 |    0.6931 |
#> |.....................|     1.000 |  0.006478 |     1.273 |     1.967 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    X|     116.86499 |     1.579 |     2.712 |     31.69 |    0.6931 |
#> |.....................|     2.719 |     1.006 |     1.273 |     1.967 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    F| Forward Diff. |   0.01173 |    -4.519 |    -4.436 |   -0.4241 |
#> |.....................|  0.002109 |   0.01176 |     1.833 |    0.9175 |
#> |.....................|    0.1786 |...........|...........|...........|
#> |   10|     116.86782 |   -0.7345 |   -0.3853 |     1.007 |   -0.6104 |
#> |.....................|   -0.4202 |   -0.9954 |   -0.2332 |    0.2360 |
#> |.....................|    0.5422 |...........|...........|...........|
#> |    U|     116.86782 |    0.4546 |     1.032 |     3.457 |    0.6943 |
#> |.....................|     1.000 |  0.004634 |     1.259 |     1.963 |
#> |.....................|     2.688 |...........|...........|...........|
#> |    X|     116.86782 |     1.576 |     2.807 |     31.71 |    0.6943 |
#> |.....................|     2.719 |     1.005 |     1.259 |     1.963 |
#> |.....................|     2.688 |...........|...........|...........|
#> |   11|     116.81520 |   -0.7332 |   -0.4038 |     1.012 |   -0.6124 |
#> |.....................|   -0.4201 |   -0.9941 |   -0.2272 |    0.2372 |
#> |.....................|    0.5438 |...........|...........|...........|
#> |    U|      116.8152 |    0.4559 |     1.014 |     3.462 |    0.6936 |
#> |.....................|     1.000 |  0.005913 |     1.266 |     1.964 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|      116.8152 |     1.578 |     2.756 |     31.88 |    0.6936 |
#> |.....................|     2.719 |     1.006 |     1.266 |     1.964 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    F| Forward Diff. |   -0.1208 |    0.6475 |     2.176 |   -0.4241 |
#> |.....................| -0.002311 |   -0.1208 |     1.132 |    0.7265 |
#> |.....................|    0.2261 |...........|...........|...........|
#> |   12|     116.82949 |   -0.7297 |   -0.4041 |     1.003 |   -0.6069 |
#> |.....................|   -0.4201 |   -0.9905 |   -0.2406 |    0.2349 |
#> |.....................|    0.5478 |...........|...........|...........|
#> |    U|     116.82949 |    0.4595 |     1.013 |     3.453 |    0.6956 |
#> |.....................|     1.000 |  0.009473 |     1.251 |     1.961 |
#> |.....................|     2.697 |...........|...........|...........|
#> |    X|     116.82949 |     1.583 |     2.755 |     31.60 |    0.6956 |
#> |.....................|     2.719 |     1.010 |     1.251 |     1.961 |
#> |.....................|     2.697 |...........|...........|...........|
#> |   13|     116.81371 |   -0.7329 |   -0.4054 |     1.006 |   -0.6114 |
#> |.....................|   -0.4201 |   -0.9938 |   -0.2300 |    0.2354 |
#> |.....................|    0.5432 |...........|...........|...........|
#> |    U|     116.81371 |    0.4562 |     1.012 |     3.456 |    0.6940 |
#> |.....................|     1.000 |  0.006211 |     1.263 |     1.962 |
#> |.....................|     2.689 |...........|...........|...........|
#> |    X|     116.81371 |     1.578 |     2.751 |     31.70 |    0.6940 |
#> |.....................|     2.719 |     1.006 |     1.263 |     1.962 |
#> |.....................|     2.689 |...........|...........|...........|
#> |    F| Forward Diff. |   0.02145 |   -0.1768 |    -3.058 |   -0.3040 |
#> |.....................| -0.001671 |   0.02153 |    0.8004 |    0.6029 |
#> |.....................|   0.05288 |...........|...........|...........|
#> |   14|     116.80660 |   -0.7322 |   -0.4068 |     1.011 |   -0.6095 |
#> |.....................|   -0.4201 |   -0.9930 |   -0.2339 |    0.2343 |
#> |.....................|    0.5446 |...........|...........|...........|
#> |    U|      116.8066 |    0.4570 |     1.011 |     3.461 |    0.6947 |
#> |.....................|     1.000 |  0.006954 |     1.258 |     1.961 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    X|      116.8066 |     1.579 |     2.747 |     31.84 |    0.6947 |
#> |.....................|     2.719 |     1.007 |     1.258 |     1.961 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.01093 |   -0.3104 |     1.002 |  -0.06813 |
#> |.....................| -0.001589 |  -0.01078 |  -0.05248 |    0.5435 |
#> |.....................|    0.2242 |...........|...........|...........|
#> |   15|     116.80565 |   -0.7313 |   -0.4052 |     1.010 |   -0.6079 |
#> |.....................|   -0.4200 |   -0.9922 |   -0.2311 |    0.2290 |
#> |.....................|    0.5449 |...........|...........|...........|
#> |    U|     116.80565 |    0.4579 |     1.012 |     3.460 |    0.6952 |
#> |.....................|     1.000 |  0.007846 |     1.261 |     1.953 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    X|     116.80565 |     1.581 |     2.752 |     31.80 |    0.6952 |
#> |.....................|     2.719 |     1.008 |     1.261 |     1.953 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    F| Forward Diff. |    0.1391 |   0.07373 |   -0.1581 |    0.1321 |
#> |.....................|  0.002361 |    0.1391 |    0.6135 |    0.2208 |
#> |.....................|    0.1250 |...........|...........|...........|
#> |   16|     116.80376 |   -0.7328 |   -0.4058 |     1.010 |   -0.6099 |
#> |.....................|   -0.4201 |   -0.9936 |   -0.2364 |    0.2264 |
#> |.....................|    0.5442 |...........|...........|...........|
#> |    U|     116.80376 |    0.4564 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.000 |  0.006367 |     1.255 |     1.950 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    X|     116.80376 |     1.578 |     2.750 |     31.83 |    0.6945 |
#> |.....................|     2.719 |     1.006 |     1.255 |     1.950 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.06478 |  -0.07166 |    0.6997 |  -0.09342 |
#> |.....................| -0.001903 |  -0.06475 |  -0.03712 |  0.005775 |
#> |.....................|   0.09210 |...........|...........|...........|
#> |   17|     116.81449 |   -0.7316 |   -0.4055 |     1.005 |   -0.6086 |
#> |.....................|   -0.4200 |   -0.9925 |   -0.2394 |    0.2273 |
#> |.....................|    0.5426 |...........|...........|...........|
#> |    U|     116.81449 |    0.4575 |     1.012 |     3.455 |    0.6950 |
#> |.....................|     1.000 |  0.007498 |     1.252 |     1.951 |
#> |.....................|     2.688 |...........|...........|...........|
#> |    X|     116.81449 |     1.580 |     2.751 |     31.66 |    0.6950 |
#> |.....................|     2.719 |     1.008 |     1.252 |     1.951 |
#> |.....................|     2.688 |...........|...........|...........|
#> |   18|     116.80356 |   -0.7327 |   -0.4057 |     1.009 |   -0.6098 |
#> |.....................|   -0.4201 |   -0.9936 |   -0.2364 |    0.2264 |
#> |.....................|    0.5441 |...........|...........|...........|
#> |    U|     116.80356 |    0.4565 |     1.012 |     3.459 |    0.6946 |
#> |.....................|     1.000 |  0.006447 |     1.255 |     1.950 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    X|     116.80356 |     1.578 |     2.750 |     31.80 |    0.6946 |
#> |.....................|     2.719 |     1.006 |     1.255 |     1.950 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.03566 |  -0.09869 |   -0.1316 |  -0.02313 |
#> |.....................| -0.001623 |  -0.03572 |  -0.02324 |   0.01337 |
#> |.....................|   0.06508 |...........|...........|...........|
#> |   19|     116.80346 |   -0.7324 |   -0.4054 |     1.010 |   -0.6097 |
#> |.....................|   -0.4200 |   -0.9933 |   -0.2364 |    0.2266 |
#> |.....................|    0.5435 |...........|...........|...........|
#> |    U|     116.80346 |    0.4567 |     1.012 |     3.460 |    0.6946 |
#> |.....................|     1.000 |  0.006727 |     1.255 |     1.950 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80346 |     1.579 |     2.751 |     31.81 |    0.6946 |
#> |.....................|     2.719 |     1.007 |     1.255 |     1.950 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    C| Central Diff. |  -0.02335 |  -0.01419 |   0.08010 |    0.1344 |
#> |.....................|   0.03695 |  -0.02340 |   -0.1781 |   0.03927 |
#> |.....................|   0.05723 |...........|...........|...........|
#> |   20|     116.80346 |   -0.7324 |   -0.4054 |     1.010 |   -0.6097 |
#> |.....................|   -0.4200 |   -0.9933 |   -0.2364 |    0.2266 |
#> |.....................|    0.5435 |...........|...........|...........|
#> |    U|     116.80346 |    0.4567 |     1.012 |     3.460 |    0.6946 |
#> |.....................|     1.000 |  0.006727 |     1.255 |     1.950 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80346 |     1.579 |     2.751 |     31.81 |    0.6946 |
#> |.....................|     2.719 |     1.007 |     1.255 |     1.950 |
#> |.....................|     2.690 |...........|...........|...........|
#> calculating covariance matrix
#> done
#> Calculating residuals/tables
#> done
#>  added centered_WT*cov_WT_cl to cl's equation in the model
#>  updated value: cl<-exp(tcl+centered_WT*cov_WT_cl+eta.cl)
#> → creating full model...
#> → pruning branches (`if`/`else`)...
#>  done
#> → loading into symengine environment...
#>  done
#> → creating full model...
#> → pruning branches (`if`/`else`)...
#>  done
#> → loading into symengine environment...
#>  done
#> → calculate jacobian
#> 
#> → calculate ∂(f)/∂(η)
#> 
#> → calculate ∂(R²)/∂(η)
#> 
#> → finding duplicate expressions in inner model...
#> 
#> → optimizing duplicate expressions in inner model...
#> 
#> → finding duplicate expressions in EBE model...
#> 
#> → optimizing duplicate expressions in EBE model...
#> 
#> → compiling inner model...
#>  
#>  done
#> → finding duplicate expressions in FD model...
#> 
#> → compiling EBE model...
#>  
#>  done
#> → compiling events FD model...
#>  
#>  done
#> Key: U: Unscaled Parameters; X: Back-transformed parameters; G: Gill difference gradient approximation
#> F: Forward difference gradient approximation
#> C: Central difference gradient approximation
#> M: Mixed forward and central difference gradient approximation
#> Unscaled parameters for Omegas=chol(solve(omega));
#> Diagonals are transformed, as specified by foceiControl(diagXform=)
#> |-----+---------------+-----------+-----------+-----------+-----------|
#> |    #| Objective Fun |       tka |       tcl |        tv |    add.sd |
#> |.....................|centered_WT | cov_WT_cl |        o1 |        o2 |
#> |.....................|        o3 |...........|...........|...........|
#> |    1|     133.57512 |   -0.7391 |   -0.4242 |     1.000 |   -0.5942 |
#> |.....................|   -0.4203 |    -1.000 |   -0.3413 |   -0.2167 |
#> |.....................|   0.03089 |...........|...........|...........|
#> |    U|     133.57512 |    0.4500 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|     1.000 |     0.000 |     1.136 |     1.351 |
#> |.....................|     1.778 |...........|...........|...........|
#> |    X|     133.57512 |     1.568 |     2.700 |     31.50 |    0.7000 |
#> |.....................|     2.718 |     1.000 |     1.136 |     1.351 |
#> |.....................|     1.778 |...........|...........|...........|
#> |    G|    Gill Diff. |   -0.9310 |    -1.614 |    -3.052 |     1.589 |
#> |.....................| -0.001457 |    -1.614 |    -11.78 |    -35.27 |
#> |.....................|    -34.78 |...........|...........|...........|
#> |    2|     123.26516 |   -0.7209 |   -0.3926 |     1.060 |   -0.6253 |
#> |.....................|   -0.4201 |   -0.9684 |   -0.1107 |    0.4736 |
#> |.....................|    0.7116 |...........|...........|...........|
#> |    U|     123.26516 |    0.4682 |     1.025 |     3.510 |    0.6891 |
#> |.....................|     1.000 |   0.03159 |     1.398 |     2.284 |
#> |.....................|     2.989 |...........|...........|...........|
#> |    X|     123.26516 |     1.597 |     2.787 |     33.44 |    0.6891 |
#> |.....................|     2.719 |     1.032 |     1.398 |     2.284 |
#> |.....................|     2.989 |...........|...........|...........|
#> |    F| Forward Diff. |   -0.5868 |     30.11 |     74.23 |    -5.071 |
#> |.....................|    0.5706 |     29.86 |     14.13 |     18.23 |
#> |.....................|     14.14 |...........|...........|...........|
#> |    3|     859.85007 |   -0.7037 |   -0.7267 |    0.2257 |   -0.5836 |
#> |.....................|   -0.4268 |    -1.300 |   -0.1453 |    0.6512 |
#> |.....................|    0.9315 |...........|...........|...........|
#> |    U|     859.85007 |    0.4854 |    0.6908 |     2.676 |    0.7037 |
#> |.....................|    0.9935 |   -0.2996 |     1.359 |     2.524 |
#> |.....................|     3.380 |...........|...........|...........|
#> |    X|     859.85007 |     1.625 |     1.995 |     14.52 |    0.7037 |
#> |.....................|     2.701 |    0.7411 |     1.359 |     2.524 |
#> |.....................|     3.380 |...........|...........|...........|
#> |    4|     120.81610 |   -0.7203 |   -0.4261 |    0.9771 |   -0.6196 |
#> |.....................|   -0.4208 |    -1.002 |   -0.1264 |    0.4533 |
#> |.....................|    0.6959 |...........|...........|...........|
#> |    U|      120.8161 |    0.4689 |    0.9913 |     3.427 |    0.6911 |
#> |.....................|    0.9995 | -0.001655 |     1.380 |     2.257 |
#> |.....................|     2.961 |...........|...........|...........|
#> |    X|      120.8161 |     1.598 |     2.695 |     30.79 |    0.6911 |
#> |.....................|     2.717 |    0.9983 |     1.380 |     2.257 |
#> |.....................|     2.961 |...........|...........|...........|
#> |    F| Forward Diff. |     2.099 |    -13.28 |    -43.93 |    -3.395 |
#> |.....................|   -0.1107 |    -13.26 |     13.28 |     15.66 |
#> |.....................|     9.277 |...........|...........|...........|
#> |    5|     118.45977 |   -0.7247 |   -0.4172 |     1.022 |   -0.6089 |
#> |.....................|   -0.4209 |   -0.9926 |   -0.1681 |    0.3917 |
#> |.....................|    0.6499 |...........|...........|...........|
#> |    U|     118.45977 |    0.4644 |     1.000 |     3.472 |    0.6948 |
#> |.....................|    0.9994 |  0.007380 |     1.333 |     2.173 |
#> |.....................|     2.879 |...........|...........|...........|
#> |    X|     118.45977 |     1.591 |     2.719 |     32.22 |    0.6948 |
#> |.....................|     2.717 |     1.007 |     1.333 |     2.173 |
#> |.....................|     2.879 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.07409 |    0.4343 |     15.45 |    -1.363 |
#> |.....................|    -1.321 |    0.4540 |     7.766 |     11.18 |
#> |.....................|     6.887 |...........|...........|...........|
#> |    6|     118.07299 |   -0.7248 |   -0.4061 |    0.9729 |   -0.6038 |
#> |.....................|   -0.4136 |   -0.9817 |   -0.2060 |    0.3287 |
#> |.....................|    0.6073 |...........|...........|...........|
#> |    U|     118.07299 |    0.4643 |     1.011 |     3.423 |    0.6966 |
#> |.....................|     1.007 |   0.01828 |     1.290 |     2.088 |
#> |.....................|     2.803 |...........|...........|...........|
#> |    X|     118.07299 |     1.591 |     2.749 |     30.66 |    0.6966 |
#> |.....................|     2.737 |     1.018 |     1.290 |     2.088 |
#> |.....................|     2.803 |...........|...........|...........|
#> |    F| Forward Diff. |     1.344 |     3.736 |    -37.78 |  -0.04684 |
#> |.....................|   0.06989 |     3.762 |     3.849 |     7.447 |
#> |.....................|     4.174 |...........|...........|...........|
#> |    7|     117.26519 |   -0.7264 |   -0.4374 |     1.022 |   -0.6094 |
#> |.....................|   -0.4061 |    -1.014 |   -0.2254 |    0.2693 |
#> |.....................|    0.5676 |...........|...........|...........|
#> |    U|     117.26519 |    0.4628 |    0.9800 |     3.472 |    0.6947 |
#> |.....................|     1.014 |  -0.01353 |     1.268 |     2.008 |
#> |.....................|     2.733 |...........|...........|...........|
#> |    X|     117.26519 |     1.588 |     2.664 |     32.21 |    0.6947 |
#> |.....................|     2.757 |    0.9866 |     1.268 |     2.008 |
#> |.....................|     2.733 |...........|...........|...........|
#> |    F| Forward Diff. |   -0.5664 |    -13.66 |     9.555 |   -0.2750 |
#> |.....................|   -0.9035 |    -13.85 |     1.175 |     3.410 |
#> |.....................|     2.098 |...........|...........|...........|
#> |    8|     118.05686 |   -0.7225 |   -0.3748 |     1.025 |   -0.6188 |
#> |.....................|   -0.3985 |   -0.9492 |   -0.2153 |    0.2362 |
#> |.....................|    0.5439 |...........|...........|...........|
#> |    U|     118.05686 |    0.4666 |     1.043 |     3.475 |    0.6914 |
#> |.....................|     1.022 |   0.05084 |     1.279 |     1.963 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    X|     118.05686 |     1.595 |     2.837 |     32.31 |    0.6914 |
#> |.....................|     2.778 |     1.052 |     1.279 |     1.963 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    9|     116.87529 |   -0.7255 |   -0.4157 |     1.007 |   -0.6090 |
#> |.....................|   -0.4046 |   -0.9915 |   -0.2273 |    0.2638 |
#> |.....................|    0.5643 |...........|...........|...........|
#> |    U|     116.87529 |    0.4637 |     1.002 |     3.457 |    0.6948 |
#> |.....................|     1.016 |  0.008506 |     1.266 |     2.000 |
#> |.....................|     2.727 |...........|...........|...........|
#> |    X|     116.87529 |     1.590 |     2.723 |     31.72 |    0.6948 |
#> |.....................|     2.761 |     1.009 |     1.266 |     2.000 |
#> |.....................|     2.727 |...........|...........|...........|
#> |    F| Forward Diff. |   0.09718 |   -0.5758 |    -2.570 |   -0.1384 |
#> |.....................|    -1.067 |   -0.5840 |     1.029 |     2.643 |
#> |.....................|     1.329 |...........|...........|...........|
#> |   10|     117.00331 |   -0.7263 |   -0.4110 |     1.028 |   -0.6079 |
#> |.....................|   -0.3959 |   -0.9867 |   -0.2358 |    0.2421 |
#> |.....................|    0.5533 |...........|...........|...........|
#> |    U|     117.00331 |    0.4629 |     1.006 |     3.478 |    0.6952 |
#> |.....................|     1.024 |   0.01331 |     1.256 |     1.971 |
#> |.....................|     2.707 |...........|...........|...........|
#> |    X|     117.00331 |     1.589 |     2.736 |     32.40 |    0.6952 |
#> |.....................|     2.785 |     1.013 |     1.256 |     1.971 |
#> |.....................|     2.707 |...........|...........|...........|
#> |   11|     116.85677 |   -0.7257 |   -0.4144 |     1.013 |   -0.6087 |
#> |.....................|   -0.4023 |   -0.9902 |   -0.2296 |    0.2580 |
#> |.....................|    0.5613 |...........|...........|...........|
#> |    U|     116.85677 |    0.4634 |     1.003 |     3.463 |    0.6949 |
#> |.....................|     1.018 |  0.009803 |     1.263 |     1.993 |
#> |.....................|     2.722 |...........|...........|...........|
#> |    X|     116.85677 |     1.590 |     2.726 |     31.90 |    0.6949 |
#> |.....................|     2.768 |     1.010 |     1.263 |     1.993 |
#> |.....................|     2.722 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.04765 |    0.6256 |     3.274 |  -0.04788 |
#> |.....................|    -1.060 |    0.6378 |    0.7205 |     2.183 |
#> |.....................|     1.251 |...........|...........|...........|
#> |   12|     116.84445 |   -0.7256 |   -0.4158 |     1.006 |   -0.6086 |
#> |.....................|   -0.3997 |   -0.9916 |   -0.2310 |    0.2530 |
#> |.....................|    0.5585 |...........|...........|...........|
#> |    U|     116.84445 |    0.4635 |     1.002 |     3.456 |    0.6949 |
#> |.....................|     1.021 |  0.008432 |     1.262 |     1.986 |
#> |.....................|     2.716 |...........|...........|...........|
#> |    X|     116.84445 |     1.590 |     2.723 |     31.69 |    0.6949 |
#> |.....................|     2.775 |     1.008 |     1.262 |     1.986 |
#> |.....................|     2.716 |...........|...........|...........|
#> |    F| Forward Diff. |   0.09730 |   -0.6994 |    -3.538 |  -0.03650 |
#> |.....................|    -1.064 |   -0.7129 |    0.6224 |     1.894 |
#> |.....................|    0.9409 |...........|...........|...........|
#> |   13|     116.82752 |   -0.7257 |   -0.4150 |     1.012 |   -0.6089 |
#> |.....................|   -0.3958 |   -0.9907 |   -0.2318 |    0.2475 |
#> |.....................|    0.5555 |...........|...........|...........|
#> |    U|     116.82752 |    0.4634 |     1.002 |     3.462 |    0.6948 |
#> |.....................|     1.024 |  0.009266 |     1.261 |     1.978 |
#> |.....................|     2.711 |...........|...........|...........|
#> |    X|     116.82752 |     1.589 |     2.725 |     31.88 |    0.6948 |
#> |.....................|     2.786 |     1.009 |     1.261 |     1.978 |
#> |.....................|     2.711 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.04193 |    0.2040 |     2.262 |   -0.1521 |
#> |.....................|    -1.050 |    0.2102 |    0.4967 |     1.488 |
#> |.....................|    0.8587 |...........|...........|...........|
#> |   14|     116.81980 |   -0.7256 |   -0.4157 |     1.007 |   -0.6086 |
#> |.....................|   -0.3905 |   -0.9915 |   -0.2326 |    0.2422 |
#> |.....................|    0.5525 |...........|...........|...........|
#> |    U|      116.8198 |    0.4635 |     1.002 |     3.457 |    0.6950 |
#> |.....................|     1.030 |  0.008500 |     1.260 |     1.971 |
#> |.....................|     2.706 |...........|...........|...........|
#> |    X|      116.8198 |     1.590 |     2.723 |     31.72 |    0.6950 |
#> |.....................|     2.800 |     1.009 |     1.260 |     1.971 |
#> |.....................|     2.706 |...........|...........|...........|
#> |    F| Forward Diff. |   0.06676 |   -0.5802 |    -2.545 |   0.01398 |
#> |.....................|    -1.040 |   -0.5962 |   0.01321 |     1.186 |
#> |.....................|    0.5819 |...........|...........|...........|
#> |   15|     116.81249 |   -0.7257 |   -0.4151 |     1.011 |   -0.6086 |
#> |.....................|   -0.3839 |   -0.9908 |   -0.2308 |    0.2379 |
#> |.....................|    0.5500 |...........|...........|...........|
#> |    U|     116.81249 |    0.4634 |     1.002 |     3.461 |    0.6950 |
#> |.....................|     1.036 |  0.009190 |     1.262 |     1.965 |
#> |.....................|     2.701 |...........|...........|...........|
#> |    X|     116.81249 |     1.590 |     2.725 |     31.86 |    0.6950 |
#> |.....................|     2.819 |     1.009 |     1.262 |     1.965 |
#> |.....................|     2.701 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.02431 |    0.1156 |     1.592 |   0.04944 |
#> |.....................|    -1.010 |    0.1201 |    0.6380 |    0.8200 |
#> |.....................|    0.4831 |...........|...........|...........|
#> |   16|     116.80960 |   -0.7257 |   -0.4154 |     1.008 |   -0.6098 |
#> |.....................|   -0.3758 |   -0.9912 |   -0.2330 |    0.2357 |
#> |.....................|    0.5487 |...........|...........|...........|
#> |    U|      116.8096 |    0.4634 |     1.002 |     3.458 |    0.6946 |
#> |.....................|     1.045 |  0.008808 |     1.259 |     1.962 |
#> |.....................|     2.699 |...........|...........|...........|
#> |    X|      116.8096 |     1.590 |     2.724 |     31.75 |    0.6946 |
#> |.....................|     2.842 |     1.009 |     1.259 |     1.962 |
#> |.....................|     2.699 |...........|...........|...........|
#> |    F| Forward Diff. |   0.03766 |   -0.3156 |    -1.557 |   0.01295 |
#> |.....................|   -0.9931 |   -0.3284 |    0.4427 |    0.6703 |
#> |.....................|    0.3523 |...........|...........|...........|
#> |   17|     116.80820 |   -0.7258 |   -0.4149 |     1.011 |   -0.6104 |
#> |.....................|   -0.3679 |   -0.9906 |   -0.2371 |    0.2351 |
#> |.....................|    0.5484 |...........|...........|...........|
#> |    U|      116.8082 |    0.4634 |     1.003 |     3.461 |    0.6943 |
#> |.....................|     1.052 |  0.009444 |     1.255 |     1.962 |
#> |.....................|     2.698 |...........|...........|...........|
#> |    X|      116.8082 |     1.589 |     2.725 |     31.85 |    0.6943 |
#> |.....................|     2.865 |     1.009 |     1.255 |     1.962 |
#> |.....................|     2.698 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.04468 |    0.2690 |     1.586 |  -0.07671 |
#> |.....................|   -0.9719 |    0.2856 |  -0.09668 |    0.6631 |
#> |.....................|    0.4284 |...........|...........|...........|
#> |   18|     116.80691 |   -0.7255 |   -0.4153 |     1.008 |   -0.6096 |
#> |.....................|   -0.3590 |   -0.9911 |   -0.2364 |    0.2342 |
#> |.....................|    0.5472 |...........|...........|...........|
#> |    U|     116.80691 |    0.4636 |     1.002 |     3.458 |    0.6946 |
#> |.....................|     1.061 |  0.008942 |     1.255 |     1.960 |
#> |.....................|     2.696 |...........|...........|...........|
#> |    X|     116.80691 |     1.590 |     2.724 |     31.77 |    0.6946 |
#> |.....................|     2.890 |     1.009 |     1.255 |     1.960 |
#> |.....................|     2.696 |...........|...........|...........|
#> |    F| Forward Diff. |   0.02779 |   -0.1677 |    -1.124 | -0.002516 |
#> |.....................|   -0.9417 |   -0.1689 |-0.0008595 |    0.5422 |
#> |.....................|    0.2791 |...........|...........|...........|
#> |   19|     116.80628 |   -0.7255 |   -0.4148 |     1.011 |   -0.6090 |
#> |.....................|   -0.3504 |   -0.9906 |   -0.2343 |    0.2327 |
#> |.....................|    0.5460 |...........|...........|...........|
#> |    U|     116.80628 |    0.4636 |     1.003 |     3.461 |    0.6948 |
#> |.....................|     1.070 |  0.009366 |     1.258 |     1.958 |
#> |.....................|     2.694 |...........|...........|...........|
#> |    X|     116.80628 |     1.590 |     2.726 |     31.85 |    0.6948 |
#> |.....................|     2.915 |     1.009 |     1.258 |     1.958 |
#> |.....................|     2.694 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.02227 |    0.3104 |     1.408 |  -0.07037 |
#> |.....................|   -0.9140 |    0.3418 |    0.2318 |    0.4631 |
#> |.....................|    0.2483 |...........|...........|...........|
#> |   20|     116.80562 |   -0.7255 |   -0.4152 |     1.009 |   -0.6085 |
#> |.....................|   -0.3464 |   -0.9912 |   -0.2348 |    0.2322 |
#> |.....................|    0.5459 |...........|...........|...........|
#> |    U|     116.80562 |    0.4636 |     1.002 |     3.459 |    0.6950 |
#> |.....................|     1.074 |  0.008778 |     1.257 |     1.958 |
#> |.....................|     2.694 |...........|...........|...........|
#> |    X|     116.80562 |     1.590 |     2.724 |     31.77 |    0.6950 |
#> |.....................|     2.927 |     1.009 |     1.257 |     1.958 |
#> |.....................|     2.694 |...........|...........|...........|
#> |    F| Forward Diff. |   0.02645 |   -0.1435 |   -0.9284 |   0.06898 |
#> |.....................|   -0.9008 |   -0.1445 |    0.2245 |    0.4178 |
#> |.....................|    0.2078 |...........|...........|...........|
#> |   21|     116.80523 |   -0.7256 |   -0.4148 |     1.011 |   -0.6086 |
#> |.....................|   -0.3424 |   -0.9909 |   -0.2356 |    0.2314 |
#> |.....................|    0.5457 |...........|...........|...........|
#> |    U|     116.80523 |    0.4635 |     1.003 |     3.461 |    0.6950 |
#> |.....................|     1.078 |  0.009104 |     1.256 |     1.957 |
#> |.....................|     2.694 |...........|...........|...........|
#> |    X|     116.80523 |     1.590 |     2.726 |     31.84 |    0.6950 |
#> |.....................|     2.939 |     1.009 |     1.256 |     1.957 |
#> |.....................|     2.694 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.02893 |    0.2145 |     1.146 |   0.01324 |
#> |.....................|   -0.9001 |    0.2420 |   0.06451 |    0.3671 |
#> |.....................|    0.2252 |...........|...........|...........|
#> |   22|     116.80465 |   -0.7256 |   -0.4151 |     1.009 |   -0.6086 |
#> |.....................|   -0.3410 |   -0.9913 |   -0.2357 |    0.2309 |
#> |.....................|    0.5453 |...........|...........|...........|
#> |    U|     116.80465 |    0.4635 |     1.002 |     3.459 |    0.6950 |
#> |.....................|     1.079 |  0.008735 |     1.256 |     1.956 |
#> |.....................|     2.693 |...........|...........|...........|
#> |    X|     116.80465 |     1.590 |     2.725 |     31.79 |    0.6950 |
#> |.....................|     2.943 |     1.009 |     1.256 |     1.956 |
#> |.....................|     2.693 |...........|...........|...........|
#> |    F| Forward Diff. |   0.01212 |   -0.1039 |   -0.5735 |   0.06024 |
#> |.....................|   -0.8870 |   -0.1020 |   0.05391 |    0.3428 |
#> |.....................|    0.1724 |...........|...........|...........|
#> |   23|     116.80425 |   -0.7256 |   -0.4149 |     1.010 |   -0.6088 |
#> |.....................|   -0.3391 |   -0.9911 |   -0.2359 |    0.2302 |
#> |.....................|    0.5450 |...........|...........|...........|
#> |    U|     116.80425 |    0.4635 |     1.003 |     3.460 |    0.6949 |
#> |.....................|     1.081 |  0.008948 |     1.256 |     1.955 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    X|     116.80425 |     1.590 |     2.725 |     31.82 |    0.6949 |
#> |.....................|     2.948 |     1.009 |     1.256 |     1.955 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.01639 |    0.1037 |    0.5987 |   0.02830 |
#> |.....................|   -0.8864 |    0.1225 |   0.04883 |    0.2777 |
#> |.....................|    0.1680 |...........|...........|...........|
#> |   24|     116.80424 |   -0.7256 |   -0.4151 |     1.009 |   -0.6088 |
#> |.....................|   -0.3373 |   -0.9913 |   -0.2360 |    0.2296 |
#> |.....................|    0.5446 |...........|...........|...........|
#> |    U|     116.80424 |    0.4635 |     1.002 |     3.459 |    0.6949 |
#> |.....................|     1.083 |  0.008691 |     1.256 |     1.954 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    X|     116.80424 |     1.590 |     2.725 |     31.78 |    0.6949 |
#> |.....................|     2.954 |     1.009 |     1.256 |     1.954 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    C| Central Diff. |-0.0001167 |   -0.1557 |   -0.7359 |   0.05313 |
#> |.....................|    0.4682 |   -0.1686 |   -0.1753 |    0.2650 |
#> |.....................|    0.1198 |...........|...........|...........|
#> |   25|     116.80386 |   -0.7256 |   -0.4149 |     1.010 |   -0.6089 |
#> |.....................|   -0.3379 |   -0.9911 |   -0.2357 |    0.2293 |
#> |.....................|    0.5445 |...........|...........|...........|
#> |    U|     116.80386 |    0.4635 |     1.003 |     3.460 |    0.6949 |
#> |.....................|     1.082 |  0.008898 |     1.256 |     1.954 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    X|     116.80386 |     1.590 |     2.725 |     31.81 |    0.6949 |
#> |.....................|     2.952 |     1.009 |     1.256 |     1.954 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    F| Forward Diff. | -0.005283 |   0.06096 |    0.2574 |   0.03751 |
#> |.....................|   -0.8770 |   0.07625 |   0.05273 |    0.2261 |
#> |.....................|    0.1359 |...........|...........|...........|
#> |   26|     116.80382 |   -0.7255 |   -0.4149 |     1.010 |   -0.6093 |
#> |.....................|   -0.3369 |   -0.9911 |   -0.2353 |    0.2290 |
#> |.....................|    0.5444 |...........|...........|...........|
#> |    U|     116.80382 |    0.4636 |     1.003 |     3.460 |    0.6947 |
#> |.....................|     1.083 |  0.008879 |     1.257 |     1.953 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    X|     116.80382 |     1.590 |     2.725 |     31.82 |    0.6947 |
#> |.....................|     2.955 |     1.009 |     1.257 |     1.953 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    C| Central Diff. |  -0.01642 |   0.03867 |    0.2678 |   0.03984 |
#> |.....................|    0.4930 |   0.04192 |  -0.02741 |    0.2097 |
#> |.....................|    0.1227 |...........|...........|...........|
#> |   27|     116.80374 |   -0.7255 |   -0.4149 |     1.010 |   -0.6093 |
#> |.....................|   -0.3374 |   -0.9912 |   -0.2353 |    0.2288 |
#> |.....................|    0.5442 |...........|...........|...........|
#> |    U|     116.80374 |    0.4636 |     1.003 |     3.460 |    0.6947 |
#> |.....................|     1.083 |  0.008839 |     1.257 |     1.953 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    X|     116.80374 |     1.590 |     2.725 |     31.81 |    0.6947 |
#> |.....................|     2.953 |     1.009 |     1.257 |     1.953 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    C| Central Diff. |  -0.01008 | -0.002947 |   0.01119 | -0.003481 |
#> |.....................|    0.4506 | -0.003364 |  -0.06411 |    0.2096 |
#> |.....................|    0.1102 |...........|...........|...........|
#> |   28|     116.80370 |   -0.7255 |   -0.4149 |     1.010 |   -0.6093 |
#> |.....................|   -0.3379 |   -0.9912 |   -0.2352 |    0.2286 |
#> |.....................|    0.5441 |...........|...........|...........|
#> |    U|      116.8037 |    0.4636 |     1.003 |     3.460 |    0.6947 |
#> |.....................|     1.082 |  0.008843 |     1.257 |     1.953 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    X|      116.8037 |     1.590 |     2.725 |     31.81 |    0.6947 |
#> |.....................|     2.952 |     1.009 |     1.257 |     1.953 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    C| Central Diff. | -0.008927 | -0.003530 | -0.002543 |   0.03935 |
#> |.....................|    0.4491 | -0.003826 |  -0.05456 |    0.1732 |
#> |.....................|   0.09266 |...........|...........|...........|
#> |   29|     116.80365 |   -0.7255 |   -0.4149 |     1.010 |   -0.6094 |
#> |.....................|   -0.3390 |   -0.9911 |   -0.2351 |    0.2282 |
#> |.....................|    0.5439 |...........|...........|...........|
#> |    U|     116.80365 |    0.4637 |     1.003 |     3.460 |    0.6947 |
#> |.....................|     1.081 |  0.008852 |     1.257 |     1.952 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    X|     116.80365 |     1.590 |     2.725 |     31.81 |    0.6947 |
#> |.....................|     2.949 |     1.009 |     1.257 |     1.952 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    C| Central Diff. | -0.007599 | -0.001520 | 0.0005778 |   0.02794 |
#> |.....................|    0.4720 | -0.001619 |  -0.02704 |    0.1464 |
#> |.....................|   0.07022 |...........|...........|...........|
#> |   30|     116.80358 |   -0.7254 |   -0.4149 |     1.010 |   -0.6096 |
#> |.....................|   -0.3412 |   -0.9911 |   -0.2350 |    0.2275 |
#> |.....................|    0.5436 |...........|...........|...........|
#> |    U|     116.80358 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.079 |  0.008860 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80358 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.942 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    C| Central Diff. | -0.005416 | -0.004754 |  0.003477 |   0.06070 |
#> |.....................|    0.4775 | -0.005155 | -0.009362 |   0.09563 |
#> |.....................|   0.04744 |...........|...........|...........|
#> |   31|     116.80356 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3423 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80356 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80356 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    C| Central Diff. | -0.004504 | -0.001809 | -0.007112 |  -0.08529 |
#> |.....................|    0.4776 | -0.001961 |  -0.04002 |   0.07330 |
#> |.....................|   0.05623 |...........|...........|...........|
#> |   32|     116.80356 |   -0.7254 |   -0.4149 |     1.010 |   -0.6096 |
#> |.....................|   -0.3429 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80356 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.077 |  0.008874 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80356 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.937 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   33|     116.80362 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3426 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80362 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008873 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80362 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.938 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   34|     116.80362 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80362 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008873 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80362 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.938 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   35|     116.80355 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80355 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80355 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    C| Central Diff. | -0.004420 | -0.001815 |  -0.01189 |   -0.1646 |
#> |.....................|    0.5141 | -0.001996 |   0.02918 |   0.09605 |
#> |.....................|   0.03007 |...........|...........|...........|
#> |   36|     116.80356 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80356 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80356 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.938 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   37|     116.80358 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80358 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80358 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   38|     116.80358 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80358 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80358 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   39|     116.80357 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80357 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80357 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   40|     116.80357 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80357 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80357 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   41|     116.80357 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80357 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80357 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   42|     116.80356 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80356 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80356 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   43|     116.80356 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80356 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80356 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   44|     116.80356 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80356 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80356 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   45|     116.80356 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80356 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80356 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   46|     116.80356 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80356 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80356 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   47|     116.80356 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80356 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80356 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> calculating covariance matrix
#> done
#> Calculating residuals/tables
#> done
#> 
#> ── objf value did not improve, exiting the search ... ──────────────────────────
#> 
#> ── forward search complete ──
#> 
#> ── starting backward search... ─────────────────────────────────────────────────
#> ! no covariates added in the forward search, skipping backward search
#> $summaryTable
#>   step covar var     objf      deltObjf      AIC      BIC numParams  qchisqr
#> 1    1    WT  ka 116.8035   2.22349e-05 377.4032 403.3484         9 5.991465
#> 2    1    WT  cl 116.8036 -7.923847e-05 377.4033 403.3485         9 5.991465
#>     pchisqr included searchType  covNames covarEffect
#> 1         1             forward cov_WT_ka 0.006727113
#> 2 0.9999604             forward cov_WT_cl 0.008872241
#> 
#> $resFwd
#> $resFwd[[1]]
#> ── nlmixr FOCEi (outer: nlminb) fit ────────────────────────────────────────────
#> 
#>           OBJF      AIC      BIC Log-likelihood Condition Number
#> FOCEi 116.8035 373.4033 393.5829      -179.7016         68.42019
#> 
#> ── Time (sec $time): ───────────────────────────────────────────────────────────
#> 
#>            setup optimize covariance table    other
#> elapsed 0.386473 0.218991   0.218999 0.017 0.720537
#> 
#> ── Population Parameters ($parFixed or $parFixedDf): ───────────────────────────
#> 
#>        Parameter  Est.     SE %RSE Back-transformed(95%CI) BSV(CV%) Shrink(SD)%
#> tka       Log Ka 0.464  0.195 42.1       1.59 (1.08, 2.33)     70.4      1.81% 
#> tcl       Log Cl  1.01 0.0751 7.42       2.75 (2.37, 3.19)     26.8      3.87% 
#> tv         log V  3.46 0.0437 1.26       31.8 (29.2, 34.6)     13.9      10.3% 
#> add.sd           0.695                               0.695                     
#>  
#>   Covariance Type ($covMethod): r,s
#>   Some strong fixed parameter correlations exist ($cor) :
#>     cor:tcl,tka  cor:tv,tka  cor:tv,tcl 
#>      0.158        0.422       0.744  
#>  
#> 
#>   No correlations in between subject variability (BSV) matrix
#>   Full BSV covariance ($omega) or correlation ($omegaR; diagonals=SDs) 
#>   Distribution stats (mean/skewness/kurtosis/p-value) available in $shrink 
#>   Minimization message ($message):  
#>     relative convergence (4) 
#> 
#> ── Fit Data (object is a modified tibble): ─────────────────────────────────────
#> # A tibble: 132 × 20
#>   ID     TIME    DV     PRED    RES   WRES IPRED   IRES  IWRES     CPRED   CRES
#>   <fct> <dbl> <dbl>    <dbl>  <dbl>  <dbl> <dbl>  <dbl>  <dbl>     <dbl>  <dbl>
#> 1 1      0     0.74 1.79e-15  0.740  1.07   0     0.74   1.07  -5.61e-16  0.740
#> 2 1      0.25  2.84 3.26e+ 0 -0.423 -0.225  3.85 -1.01  -1.45   3.22e+ 0 -0.379
#> 3 1      0.57  6.57 5.83e+ 0  0.740  0.297  6.78 -0.215 -0.309  5.77e+ 0  0.795
#> # … with 129 more rows, and 9 more variables: CWRES <dbl>, eta.ka <dbl>,
#> #   eta.cl <dbl>, eta.v <dbl>, ka <dbl>, cl <dbl>, v <dbl>, tad <dbl>,
#> #   dosenum <dbl>
#> 
#> $resFwd[[2]]
#>   step covar var     objf      deltObjf      AIC      BIC numParams  qchisqr
#> 1    1    WT  ka 116.8035   2.22349e-05 377.4032 403.3484         9 5.991465
#> 2    1    WT  cl 116.8036 -7.923847e-05 377.4033 403.3485         9 5.991465
#>     pchisqr included searchType  covNames covarEffect
#> 1         1             forward cov_WT_ka 0.006727113
#> 2 0.9999604             forward cov_WT_cl 0.008872241
#> 
#> 
#> $resBck
#> $resBck[[1]]
#> ── nlmixr FOCEi (outer: nlminb) fit ────────────────────────────────────────────
#> 
#>           OBJF      AIC      BIC Log-likelihood Condition Number
#> FOCEi 116.8035 373.4033 393.5829      -179.7016         68.42019
#> 
#> ── Time (sec $time): ───────────────────────────────────────────────────────────
#> 
#>            setup optimize covariance table    other
#> elapsed 0.386473 0.218991   0.218999 0.017 0.720537
#> 
#> ── Population Parameters ($parFixed or $parFixedDf): ───────────────────────────
#> 
#>        Parameter  Est.     SE %RSE Back-transformed(95%CI) BSV(CV%) Shrink(SD)%
#> tka       Log Ka 0.464  0.195 42.1       1.59 (1.08, 2.33)     70.4      1.81% 
#> tcl       Log Cl  1.01 0.0751 7.42       2.75 (2.37, 3.19)     26.8      3.87% 
#> tv         log V  3.46 0.0437 1.26       31.8 (29.2, 34.6)     13.9      10.3% 
#> add.sd           0.695                               0.695                     
#>  
#>   Covariance Type ($covMethod): r,s
#>   Some strong fixed parameter correlations exist ($cor) :
#>     cor:tcl,tka  cor:tv,tka  cor:tv,tcl 
#>      0.158        0.422       0.744  
#>  
#> 
#>   No correlations in between subject variability (BSV) matrix
#>   Full BSV covariance ($omega) or correlation ($omegaR; diagonals=SDs) 
#>   Distribution stats (mean/skewness/kurtosis/p-value) available in $shrink 
#>   Minimization message ($message):  
#>     relative convergence (4) 
#> 
#> ── Fit Data (object is a modified tibble): ─────────────────────────────────────
#> # A tibble: 132 × 20
#>   ID     TIME    DV     PRED    RES   WRES IPRED   IRES  IWRES     CPRED   CRES
#>   <fct> <dbl> <dbl>    <dbl>  <dbl>  <dbl> <dbl>  <dbl>  <dbl>     <dbl>  <dbl>
#> 1 1      0     0.74 1.79e-15  0.740  1.07   0     0.74   1.07  -5.61e-16  0.740
#> 2 1      0.25  2.84 3.26e+ 0 -0.423 -0.225  3.85 -1.01  -1.45   3.22e+ 0 -0.379
#> 3 1      0.57  6.57 5.83e+ 0  0.740  0.297  6.78 -0.215 -0.309  5.77e+ 0  0.795
#> # … with 129 more rows, and 9 more variables: CWRES <dbl>, eta.ka <dbl>,
#> #   eta.cl <dbl>, eta.v <dbl>, ka <dbl>, cl <dbl>, v <dbl>, tad <dbl>,
#> #   dosenum <dbl>
#> 
#> $resBck[[2]]
#> NULL
#> 
#> 

## Note that this didn't include sex, add it to dataset and restart model

d <- theo_sd
d$SEX <-0
d$SEX[d$ID<=6] <-1

fit <- nlmixr(one.cmt, d, "focei")
#>  parameter labels from comments will be replaced by 'label()'
#> Key: U: Unscaled Parameters; X: Back-transformed parameters; G: Gill difference gradient approximation
#> F: Forward difference gradient approximation
#> C: Central difference gradient approximation
#> M: Mixed forward and central difference gradient approximation
#> Unscaled parameters for Omegas=chol(solve(omega));
#> Diagonals are transformed, as specified by foceiControl(diagXform=)
#> |-----+---------------+-----------+-----------+-----------+-----------|
#> |    #| Objective Fun |       tka |       tcl |        tv |    add.sd |
#> |.....................|        o1 |        o2 |        o3 |...........|
#> |    1|     133.57512 |    -1.000 |   -0.6378 |     1.000 |   -0.8333 |
#> |.....................|   -0.5425 |   -0.3992 |   -0.1145 |...........|
#> |    U|     133.57512 |    0.4500 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    X|     133.57512 |     1.568 |     2.700 |     31.50 |    0.7000 |
#> |.....................|     1.136 |     1.351 |     1.778 |...........|
#> |    G|    Gill Diff. |   -0.9310 |    -1.614 |    -3.052 |     1.541 |
#> |.....................|    -11.80 |    -35.24 |    -34.65 |...........|
#> |    2|     122.59020 |   -0.9817 |   -0.6062 |     1.060 |   -0.8636 |
#> |.....................|   -0.3110 |    0.2924 |    0.5654 |...........|
#> |    U|      122.5902 |    0.4683 |     1.025 |     3.510 |    0.6894 |
#> |.....................|     1.399 |     2.286 |     2.987 |...........|
#> |    X|      122.5902 |     1.597 |     2.787 |     33.44 |    0.6894 |
#> |.....................|     1.399 |     2.286 |     2.987 |...........|
#> |    F| Forward Diff. |   -0.9193 |     14.79 |     70.12 |    -4.948 |
#> |.....................|     14.22 |     16.76 |     13.93 |...........|
#> |    3|     691.01138 |   -0.9592 |   -0.7976 |    0.1049 |   -0.8098 |
#> |.....................|   -0.3897 |    0.4190 |    0.7258 |...........|
#> |    U|     691.01138 |    0.4908 |    0.8335 |     2.555 |    0.7082 |
#> |.....................|     1.310 |     2.457 |     3.272 |...........|
#> |    X|     691.01138 |     1.634 |     2.301 |     12.87 |    0.7082 |
#> |.....................|     1.310 |     2.457 |     3.272 |...........|
#> |    4|     121.02313 |   -0.9805 |   -0.6255 |    0.9681 |   -0.8571 |
#> |.....................|   -0.3296 |    0.2704 |    0.5472 |...........|
#> |    U|     121.02313 |    0.4695 |     1.006 |     3.418 |    0.6917 |
#> |.....................|     1.378 |     2.256 |     2.955 |...........|
#> |    X|     121.02313 |     1.599 |     2.733 |     30.51 |    0.6917 |
#> |.....................|     1.378 |     2.256 |     2.955 |...........|
#> |    F| Forward Diff. |     2.644 |    -6.902 |    -53.13 |    -3.008 |
#> |.....................|     13.05 |     15.51 |     9.450 |...........|
#> |    5|     118.40944 |   -0.9856 |   -0.6239 |     1.019 |   -0.8463 |
#> |.....................|   -0.3724 |    0.2115 |    0.5032 |...........|
#> |    U|     118.40944 |    0.4644 |     1.007 |     3.469 |    0.6955 |
#> |.....................|     1.329 |     2.176 |     2.877 |...........|
#> |    X|     118.40944 |     1.591 |     2.738 |     32.12 |    0.6955 |
#> |.....................|     1.329 |     2.176 |     2.877 |...........|
#> |    F| Forward Diff. |   0.01257 |  -0.06271 |     11.65 |    -1.181 |
#> |.....................|     7.396 |     11.24 |     6.682 |...........|
#> |    6|     117.95102 |   -0.9860 |   -0.6177 |    0.9748 |   -0.8413 |
#> |.....................|   -0.4126 |    0.1437 |    0.4615 |...........|
#> |    U|     117.95102 |    0.4640 |     1.013 |     3.425 |    0.6972 |
#> |.....................|     1.284 |     2.085 |     2.803 |...........|
#> |    X|     117.95102 |     1.590 |     2.755 |     30.72 |    0.6972 |
#> |.....................|     1.284 |     2.085 |     2.803 |...........|
#> |    F| Forward Diff. |     1.122 |    -2.134 |    -37.05 |    0.6672 |
#> |.....................|     3.102 |     7.185 |     4.243 |...........|
#> |    7|     117.01192 |   -0.9844 |   -0.6189 |     1.027 |   -0.8580 |
#> |.....................|   -0.4206 |   0.07306 |    0.4170 |...........|
#> |    U|     117.01192 |    0.4656 |     1.012 |     3.477 |    0.6914 |
#> |.....................|     1.275 |     1.989 |     2.723 |...........|
#> |    X|     117.01192 |     1.593 |     2.752 |     32.35 |    0.6914 |
#> |.....................|     1.275 |     1.989 |     2.723 |...........|
#> |    F| Forward Diff. |   -0.2405 |     1.324 |     17.06 |    -1.389 |
#> |.....................|     1.899 |     2.064 |     1.794 |...........|
#> |    8|     117.12874 |   -0.9866 |   -0.6555 |     1.005 |   -0.8409 |
#> |.....................|   -0.4185 |   0.01390 |    0.3507 |...........|
#> |    U|     117.12874 |    0.4634 |    0.9756 |     3.455 |    0.6973 |
#> |.....................|     1.277 |     1.909 |     2.606 |...........|
#> |    X|     117.12874 |     1.590 |     2.653 |     31.66 |    0.6973 |
#> |.....................|     1.277 |     1.909 |     2.606 |...........|
#> |    9|     116.86111 |   -0.9850 |   -0.6329 |     1.006 |   -0.8508 |
#> |.....................|   -0.4213 |   0.05044 |    0.3921 |...........|
#> |    U|     116.86111 |    0.4650 |    0.9982 |     3.456 |    0.6939 |
#> |.....................|     1.274 |     1.959 |     2.679 |...........|
#> |    X|     116.86111 |     1.592 |     2.713 |     31.68 |    0.6939 |
#> |.....................|     1.274 |     1.959 |     2.679 |...........|
#> |    F| Forward Diff. |    0.1372 |    -4.279 |    -4.745 |   -0.1588 |
#> |.....................|     1.829 |    0.4197 |   -0.2277 |...........|
#> |   10|     116.90243 |   -0.9853 |   -0.5936 |     1.006 |   -0.8456 |
#> |.....................|   -0.4367 |   0.04760 |    0.3910 |...........|
#> |    U|     116.90243 |    0.4647 |     1.037 |     3.456 |    0.6957 |
#> |.....................|     1.256 |     1.955 |     2.677 |...........|
#> |    X|     116.90243 |     1.592 |     2.822 |     31.68 |    0.6957 |
#> |.....................|     1.256 |     1.955 |     2.677 |...........|
#> |   11|     116.81300 |   -0.9853 |   -0.6177 |     1.012 |   -0.8493 |
#> |.....................|   -0.4275 |   0.04920 |    0.3921 |...........|
#> |    U|       116.813 |    0.4647 |     1.013 |     3.462 |    0.6944 |
#> |.....................|     1.267 |     1.957 |     2.679 |...........|
#> |    X|       116.813 |     1.592 |     2.755 |     31.88 |    0.6944 |
#> |.....................|     1.267 |     1.957 |     2.679 |...........|
#> |    F| Forward Diff. |   0.04146 |    0.5982 |     2.027 |   -0.1930 |
#> |.....................|     1.293 |    0.4341 |   -0.1919 |...........|
#> |   12|     116.81643 |   -0.9859 |   -0.6188 |     1.005 |   -0.8484 |
#> |.....................|   -0.4420 |   0.04884 |    0.3991 |...........|
#> |    U|     116.81643 |    0.4641 |     1.012 |     3.455 |    0.6947 |
#> |.....................|     1.250 |     1.957 |     2.692 |...........|
#> |    X|     116.81643 |     1.591 |     2.752 |     31.66 |    0.6947 |
#> |.....................|     1.250 |     1.957 |     2.692 |...........|
#> |   13|     116.81366 |   -0.9854 |   -0.6194 |     1.006 |   -0.8487 |
#> |.....................|   -0.4322 |   0.04799 |    0.3932 |...........|
#> |    U|     116.81366 |    0.4646 |     1.012 |     3.456 |    0.6946 |
#> |.....................|     1.262 |     1.955 |     2.681 |...........|
#> |    X|     116.81366 |     1.591 |     2.750 |     31.69 |    0.6946 |
#> |.....................|     1.262 |     1.955 |     2.681 |...........|
#> |   14|     116.80890 |   -0.9853 |   -0.6186 |     1.009 |   -0.8490 |
#> |.....................|   -0.4295 |   0.04853 |    0.3924 |...........|
#> |    U|      116.8089 |    0.4647 |     1.012 |     3.459 |    0.6945 |
#> |.....................|     1.265 |     1.956 |     2.680 |...........|
#> |    X|      116.8089 |     1.592 |     2.752 |     31.78 |    0.6945 |
#> |.....................|     1.265 |     1.956 |     2.680 |...........|
#> |    F| Forward Diff. |   0.09967 |    0.1293 |   -0.9650 |    0.1356 |
#> |.....................|     1.065 |    0.2446 |   -0.1725 |...........|
#> |   15|     116.80676 |   -0.9856 |   -0.6189 |     1.011 |   -0.8494 |
#> |.....................|   -0.4323 |   0.04789 |    0.3929 |...........|
#> |    U|     116.80676 |    0.4644 |     1.012 |     3.461 |    0.6944 |
#> |.....................|     1.261 |     1.955 |     2.680 |...........|
#> |    X|     116.80676 |     1.591 |     2.752 |     31.86 |    0.6944 |
#> |.....................|     1.261 |     1.955 |     2.680 |...........|
#> |    F| Forward Diff. |   0.01623 |    0.1762 |     1.448 |  0.001944 |
#> |.....................|    0.8101 |    0.3560 |   -0.1495 |...........|
#> |   16|     116.80511 |   -0.9857 |   -0.6196 |     1.009 |   -0.8499 |
#> |.....................|   -0.4347 |   0.04738 |    0.3939 |...........|
#> |    U|     116.80511 |    0.4643 |     1.012 |     3.459 |    0.6942 |
#> |.....................|     1.259 |     1.955 |     2.682 |...........|
#> |    X|     116.80511 |     1.591 |     2.750 |     31.77 |    0.6942 |
#> |.....................|     1.259 |     1.955 |     2.682 |...........|
#> |    F| Forward Diff. |   0.06298 |   -0.1883 |    -1.085 |  -0.05009 |
#> |.....................|    0.4485 |    0.2102 |  -0.08332 |...........|
#> |   17|     116.80401 |   -0.9859 |   -0.6193 |     1.011 |   -0.8500 |
#> |.....................|   -0.4369 |   0.04655 |    0.3962 |...........|
#> |    U|     116.80401 |    0.4641 |     1.012 |     3.461 |    0.6942 |
#> |.....................|     1.256 |     1.954 |     2.686 |...........|
#> |    X|     116.80401 |     1.591 |     2.750 |     31.84 |    0.6942 |
#> |.....................|     1.256 |     1.954 |     2.686 |...........|
#> |    F| Forward Diff. |-0.0009677 |  0.002269 |    0.9503 |   -0.2533 |
#> |.....................|    0.1402 |    0.3095 | -0.009911 |...........|
#> |   18|     116.80364 |   -0.9861 |   -0.6189 |     1.010 |   -0.8474 |
#> |.....................|   -0.4369 |   0.04466 |    0.3982 |...........|
#> |    U|     116.80364 |    0.4639 |     1.012 |     3.460 |    0.6951 |
#> |.....................|     1.256 |     1.951 |     2.690 |...........|
#> |    X|     116.80364 |     1.590 |     2.752 |     31.81 |    0.6951 |
#> |.....................|     1.256 |     1.951 |     2.690 |...........|
#> |    F| Forward Diff. |   0.01764 |   0.05231 |   0.02747 |    0.2443 |
#> |.....................|    0.1370 |   0.07969 |   0.09639 |...........|
#> |   19|     116.80372 |   -0.9864 |   -0.6195 |     1.009 |   -0.8504 |
#> |.....................|   -0.4386 |   0.04367 |    0.3970 |...........|
#> |    U|     116.80372 |    0.4636 |     1.012 |     3.459 |    0.6940 |
#> |.....................|     1.254 |     1.950 |     2.688 |...........|
#> |    X|     116.80372 |     1.590 |     2.750 |     31.80 |    0.6940 |
#> |.....................|     1.254 |     1.950 |     2.688 |...........|
#> |   20|     116.80348 |   -0.9862 |   -0.6192 |     1.010 |   -0.8488 |
#> |.....................|   -0.4377 |   0.04420 |    0.3976 |...........|
#> |    U|     116.80348 |    0.4638 |     1.012 |     3.460 |    0.6946 |
#> |.....................|     1.255 |     1.950 |     2.689 |...........|
#> |    X|     116.80348 |     1.590 |     2.751 |     31.80 |    0.6946 |
#> |.....................|     1.255 |     1.950 |     2.689 |...........|
#> |    F| Forward Diff. |   0.01066 |  -0.05164 |   -0.1358 |   0.07351 |
#> |.....................|    0.1166 |   0.04721 |   0.07105 |...........|
#> |   21|     116.80394 |   -0.9863 |   -0.6188 |     1.011 |   -0.8494 |
#> |.....................|   -0.4387 |   0.04380 |    0.3970 |...........|
#> |    U|     116.80394 |    0.4637 |     1.012 |     3.461 |    0.6944 |
#> |.....................|     1.254 |     1.950 |     2.688 |...........|
#> |    X|     116.80394 |     1.590 |     2.752 |     31.84 |    0.6944 |
#> |.....................|     1.254 |     1.950 |     2.688 |...........|
#> |   22|     116.80348 |   -0.9862 |   -0.6192 |     1.010 |   -0.8488 |
#> |.....................|   -0.4377 |   0.04420 |    0.3976 |...........|
#> |    U|     116.80348 |    0.4638 |     1.012 |     3.460 |    0.6946 |
#> |.....................|     1.255 |     1.950 |     2.689 |...........|
#> |    X|     116.80348 |     1.590 |     2.751 |     31.80 |    0.6946 |
#> |.....................|     1.255 |     1.950 |     2.689 |...........|
#> calculating covariance matrix
#> done
#> Calculating residuals/tables
#> done
#> Warning: initial ETAs were nudged; (can control by foceiControl(etaNudge=., etaNudge2=))
#> Warning: ETAs were reset to zero during optimization; (Can control by foceiControl(resetEtaP=.))
#> Warning: last objective function was not at minimum, possible problems in optimization
#> Warning: gradient problems with initial estimate and covariance; see $scaleInfo

# This would restart if for some reason the search crashed:

RxODE::.rxWithWd(tempdir(), {# with temporary directory

covarSearchAuto(fit, varsVec = c("ka", "cl"), covarsVec = c("WT", "SEX"),
                catCovariates = c("SEX"), restart = TRUE)

covarSearchAuto(fit, varsVec = c("ka", "cl"), covarsVec = c("WT", "SEX"),
                catCovariates = c("SEX"), restart = TRUE,
                searchType = "forward")
})
#> 
#> ── starting forward search... ──────────────────────────────────────────────────
#>  added centered_WT*cov_WT_ka to ka's equation in the model
#>  updated value: ka<-exp(tka+centered_WT*cov_WT_ka+eta.ka)
#> Key: U: Unscaled Parameters; X: Back-transformed parameters; G: Gill difference gradient approximation
#> F: Forward difference gradient approximation
#> C: Central difference gradient approximation
#> M: Mixed forward and central difference gradient approximation
#> Unscaled parameters for Omegas=chol(solve(omega));
#> Diagonals are transformed, as specified by foceiControl(diagXform=)
#> |-----+---------------+-----------+-----------+-----------+-----------|
#> |    #| Objective Fun |       tka |       tcl |        tv |    add.sd |
#> |.....................|centered_WT | cov_WT_ka |        o1 |        o2 |
#> |.....................|        o3 |...........|...........|...........|
#> |    1|     133.57512 |   -0.7391 |   -0.4242 |     1.000 |   -0.5942 |
#> |.....................|   -0.4203 |    -1.000 |   -0.3413 |   -0.2167 |
#> |.....................|   0.03089 |...........|...........|...........|
#> |    U|     133.57512 |    0.4500 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|     1.000 |     0.000 |     1.136 |     1.351 |
#> |.....................|     1.778 |...........|...........|...........|
#> |    X|     133.57512 |     1.568 |     2.700 |     31.50 |    0.7000 |
#> |.....................|     2.718 |     1.000 |     1.136 |     1.351 |
#> |.....................|     1.778 |...........|...........|...........|
#> |    G|    Gill Diff. |   -0.9310 |    -1.614 |    -3.052 |     1.591 |
#> |.....................| -0.001938 |   -0.9310 |    -11.78 |    -35.27 |
#> |.....................|    -34.78 |...........|...........|...........|
#> |    2|     122.56663 |   -0.7209 |   -0.3926 |     1.060 |   -0.6254 |
#> |.....................|   -0.4201 |   -0.9818 |   -0.1106 |    0.4739 |
#> |.....................|    0.7118 |...........|...........|...........|
#> |    U|     122.56663 |    0.4682 |     1.025 |     3.510 |    0.6891 |
#> |.....................|     1.000 |   0.01823 |     1.398 |     2.284 |
#> |.....................|     2.989 |...........|...........|...........|
#> |    X|     122.56663 |     1.597 |     2.787 |     33.44 |    0.6891 |
#> |.....................|     2.719 |     1.018 |     1.398 |     2.284 |
#> |.....................|     2.989 |...........|...........|...........|
#> |    F| Forward Diff. |    0.5883 |     14.89 |     69.34 |    -5.082 |
#> |.....................|   0.01707 |    0.5885 |     14.10 |     16.71 |
#> |.....................|     13.90 |...........|...........|...........|
#> |    3|     690.01754 |   -0.7198 |   -0.5879 |    0.1045 |   -0.5693 |
#> |.....................|   -0.4204 |   -0.9806 |   -0.1910 |    0.5963 |
#> |.....................|    0.8691 |...........|...........|...........|
#> |    U|     690.01754 |    0.4694 |    0.8295 |     2.554 |    0.7087 |
#> |.....................|    0.9999 |   0.01936 |     1.307 |     2.450 |
#> |.....................|     3.269 |...........|...........|...........|
#> |    X|     690.01754 |     1.599 |     2.292 |     12.86 |    0.7087 |
#> |.....................|     2.718 |     1.020 |     1.307 |     2.450 |
#> |.....................|     3.269 |...........|...........|...........|
#> |    4|     121.05724 |   -0.7217 |   -0.4123 |    0.9681 |   -0.6186 |
#> |.....................|   -0.4202 |   -0.9826 |   -0.1293 |    0.4518 |
#> |.....................|    0.6935 |...........|...........|...........|
#> |    U|     121.05724 |    0.4674 |     1.005 |     3.418 |    0.6914 |
#> |.....................|     1.000 |   0.01745 |     1.377 |     2.254 |
#> |.....................|     2.957 |...........|...........|...........|
#> |    X|     121.05724 |     1.596 |     2.732 |     30.51 |    0.6914 |
#> |.....................|     2.719 |     1.018 |     1.377 |     2.254 |
#> |.....................|     2.957 |...........|...........|...........|
#> |    F| Forward Diff. |     3.837 |    -6.944 |    -53.83 |    -3.090 |
#> |.....................|   0.06934 |     3.838 |     13.37 |     15.43 |
#> |.....................|     9.539 |...........|...........|...........|
#> |    5|     118.41302 |   -0.7303 |   -0.4110 |     1.020 |   -0.6076 |
#> |.....................|   -0.4203 |   -0.9912 |   -0.1722 |    0.3939 |
#> |.....................|    0.6500 |...........|...........|...........|
#> |    U|     118.41302 |    0.4588 |     1.007 |     3.470 |    0.6953 |
#> |.....................|     1.000 |  0.008841 |     1.328 |     2.176 |
#> |.....................|     2.879 |...........|...........|...........|
#> |    X|     118.41302 |     1.582 |     2.736 |     32.12 |    0.6953 |
#> |.....................|     2.718 |     1.009 |     1.328 |     2.176 |
#> |.....................|     2.879 |...........|...........|...........|
#> |    F| Forward Diff. |    0.2193 |   -0.3076 |     11.77 |    -1.219 |
#> |.....................|-0.0007891 |    0.2195 |     7.249 |     11.25 |
#> |.....................|     6.750 |...........|...........|...........|
#> |    6|     117.95957 |   -0.7313 |   -0.4033 |    0.9747 |   -0.6024 |
#> |.....................|   -0.4203 |   -0.9922 |   -0.2116 |    0.3262 |
#> |.....................|    0.6080 |...........|...........|...........|
#> |    U|     117.95957 |    0.4578 |     1.014 |     3.425 |    0.6971 |
#> |.....................|     1.000 |  0.007833 |     1.284 |     2.085 |
#> |.....................|     2.805 |...........|...........|...........|
#> |    X|     117.95957 |     1.581 |     2.757 |     30.71 |    0.6971 |
#> |.....................|     2.718 |     1.008 |     1.284 |     2.085 |
#> |.....................|     2.805 |...........|...........|...........|
#> |    F| Forward Diff. |     1.235 |    -1.853 |    -37.21 |    0.1988 |
#> |.....................|   0.01043 |     1.235 |     3.123 |     7.245 |
#> |.....................|     4.285 |...........|...........|...........|
#> |    7|     117.01527 |   -0.7254 |   -0.4049 |     1.027 |   -0.6142 |
#> |.....................|   -0.4200 |   -0.9862 |   -0.2186 |    0.2552 |
#> |.....................|    0.5634 |...........|...........|...........|
#> |    U|     117.01527 |    0.4638 |     1.013 |     3.477 |    0.6930 |
#> |.....................|     1.000 |   0.01375 |     1.276 |     1.989 |
#> |.....................|     2.725 |...........|...........|...........|
#> |    X|     117.01527 |     1.590 |     2.753 |     32.36 |    0.6930 |
#> |.....................|     2.719 |     1.014 |     1.276 |     1.989 |
#> |.....................|     2.725 |...........|...........|...........|
#> |    F| Forward Diff. |    0.4612 |     1.530 |     17.00 |   -0.8240 |
#> |.....................|  0.009037 |    0.4613 |     2.046 |     2.040 |
#> |.....................|     1.907 |...........|...........|...........|
#> |    8|     117.25439 |   -0.7495 |   -0.4529 |     1.005 |   -0.6159 |
#> |.....................|   -0.4203 |    -1.010 |   -0.2219 |    0.2056 |
#> |.....................|    0.5036 |...........|...........|...........|
#> |    U|     117.25439 |    0.4396 |    0.9646 |     3.455 |    0.6924 |
#> |.....................|     1.000 |  -0.01039 |     1.272 |     1.922 |
#> |.....................|     2.619 |...........|...........|...........|
#> |    X|     117.25439 |     1.552 |     2.624 |     31.67 |    0.6924 |
#> |.....................|     2.718 |    0.9897 |     1.272 |     1.922 |
#> |.....................|     2.619 |...........|...........|...........|
#> |    9|     116.86499 |   -0.7327 |   -0.4199 |     1.006 |   -0.6140 |
#> |.....................|   -0.4201 |   -0.9935 |   -0.2213 |    0.2393 |
#> |.....................|    0.5447 |...........|...........|...........|
#> |    U|     116.86499 |    0.4565 |    0.9976 |     3.456 |    0.6931 |
#> |.....................|     1.000 |  0.006478 |     1.273 |     1.967 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    X|     116.86499 |     1.579 |     2.712 |     31.69 |    0.6931 |
#> |.....................|     2.719 |     1.006 |     1.273 |     1.967 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    F| Forward Diff. |   0.01173 |    -4.519 |    -4.436 |   -0.4241 |
#> |.....................|  0.002109 |   0.01176 |     1.833 |    0.9175 |
#> |.....................|    0.1786 |...........|...........|...........|
#> |   10|     116.86782 |   -0.7345 |   -0.3853 |     1.007 |   -0.6104 |
#> |.....................|   -0.4202 |   -0.9954 |   -0.2332 |    0.2360 |
#> |.....................|    0.5422 |...........|...........|...........|
#> |    U|     116.86782 |    0.4546 |     1.032 |     3.457 |    0.6943 |
#> |.....................|     1.000 |  0.004634 |     1.259 |     1.963 |
#> |.....................|     2.688 |...........|...........|...........|
#> |    X|     116.86782 |     1.576 |     2.807 |     31.71 |    0.6943 |
#> |.....................|     2.719 |     1.005 |     1.259 |     1.963 |
#> |.....................|     2.688 |...........|...........|...........|
#> |   11|     116.81520 |   -0.7332 |   -0.4038 |     1.012 |   -0.6124 |
#> |.....................|   -0.4201 |   -0.9941 |   -0.2272 |    0.2372 |
#> |.....................|    0.5438 |...........|...........|...........|
#> |    U|      116.8152 |    0.4559 |     1.014 |     3.462 |    0.6936 |
#> |.....................|     1.000 |  0.005913 |     1.266 |     1.964 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|      116.8152 |     1.578 |     2.756 |     31.88 |    0.6936 |
#> |.....................|     2.719 |     1.006 |     1.266 |     1.964 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    F| Forward Diff. |   -0.1208 |    0.6475 |     2.176 |   -0.4241 |
#> |.....................| -0.002311 |   -0.1208 |     1.132 |    0.7265 |
#> |.....................|    0.2261 |...........|...........|...........|
#> |   12|     116.82949 |   -0.7297 |   -0.4041 |     1.003 |   -0.6069 |
#> |.....................|   -0.4201 |   -0.9905 |   -0.2406 |    0.2349 |
#> |.....................|    0.5478 |...........|...........|...........|
#> |    U|     116.82949 |    0.4595 |     1.013 |     3.453 |    0.6956 |
#> |.....................|     1.000 |  0.009473 |     1.251 |     1.961 |
#> |.....................|     2.697 |...........|...........|...........|
#> |    X|     116.82949 |     1.583 |     2.755 |     31.60 |    0.6956 |
#> |.....................|     2.719 |     1.010 |     1.251 |     1.961 |
#> |.....................|     2.697 |...........|...........|...........|
#> |   13|     116.81371 |   -0.7329 |   -0.4054 |     1.006 |   -0.6114 |
#> |.....................|   -0.4201 |   -0.9938 |   -0.2300 |    0.2354 |
#> |.....................|    0.5432 |...........|...........|...........|
#> |    U|     116.81371 |    0.4562 |     1.012 |     3.456 |    0.6940 |
#> |.....................|     1.000 |  0.006211 |     1.263 |     1.962 |
#> |.....................|     2.689 |...........|...........|...........|
#> |    X|     116.81371 |     1.578 |     2.751 |     31.70 |    0.6940 |
#> |.....................|     2.719 |     1.006 |     1.263 |     1.962 |
#> |.....................|     2.689 |...........|...........|...........|
#> |    F| Forward Diff. |   0.02145 |   -0.1768 |    -3.058 |   -0.3040 |
#> |.....................| -0.001671 |   0.02153 |    0.8004 |    0.6029 |
#> |.....................|   0.05288 |...........|...........|...........|
#> |   14|     116.80660 |   -0.7322 |   -0.4068 |     1.011 |   -0.6095 |
#> |.....................|   -0.4201 |   -0.9930 |   -0.2339 |    0.2343 |
#> |.....................|    0.5446 |...........|...........|...........|
#> |    U|      116.8066 |    0.4570 |     1.011 |     3.461 |    0.6947 |
#> |.....................|     1.000 |  0.006954 |     1.258 |     1.961 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    X|      116.8066 |     1.579 |     2.747 |     31.84 |    0.6947 |
#> |.....................|     2.719 |     1.007 |     1.258 |     1.961 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.01093 |   -0.3104 |     1.002 |  -0.06813 |
#> |.....................| -0.001589 |  -0.01078 |  -0.05248 |    0.5435 |
#> |.....................|    0.2242 |...........|...........|...........|
#> |   15|     116.80565 |   -0.7313 |   -0.4052 |     1.010 |   -0.6079 |
#> |.....................|   -0.4200 |   -0.9922 |   -0.2311 |    0.2290 |
#> |.....................|    0.5449 |...........|...........|...........|
#> |    U|     116.80565 |    0.4579 |     1.012 |     3.460 |    0.6952 |
#> |.....................|     1.000 |  0.007846 |     1.261 |     1.953 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    X|     116.80565 |     1.581 |     2.752 |     31.80 |    0.6952 |
#> |.....................|     2.719 |     1.008 |     1.261 |     1.953 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    F| Forward Diff. |    0.1391 |   0.07373 |   -0.1581 |    0.1321 |
#> |.....................|  0.002361 |    0.1391 |    0.6135 |    0.2208 |
#> |.....................|    0.1250 |...........|...........|...........|
#> |   16|     116.80376 |   -0.7328 |   -0.4058 |     1.010 |   -0.6099 |
#> |.....................|   -0.4201 |   -0.9936 |   -0.2364 |    0.2264 |
#> |.....................|    0.5442 |...........|...........|...........|
#> |    U|     116.80376 |    0.4564 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.000 |  0.006367 |     1.255 |     1.950 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    X|     116.80376 |     1.578 |     2.750 |     31.83 |    0.6945 |
#> |.....................|     2.719 |     1.006 |     1.255 |     1.950 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.06478 |  -0.07166 |    0.6997 |  -0.09342 |
#> |.....................| -0.001903 |  -0.06475 |  -0.03712 |  0.005775 |
#> |.....................|   0.09210 |...........|...........|...........|
#> |   17|     116.81449 |   -0.7316 |   -0.4055 |     1.005 |   -0.6086 |
#> |.....................|   -0.4200 |   -0.9925 |   -0.2394 |    0.2273 |
#> |.....................|    0.5426 |...........|...........|...........|
#> |    U|     116.81449 |    0.4575 |     1.012 |     3.455 |    0.6950 |
#> |.....................|     1.000 |  0.007498 |     1.252 |     1.951 |
#> |.....................|     2.688 |...........|...........|...........|
#> |    X|     116.81449 |     1.580 |     2.751 |     31.66 |    0.6950 |
#> |.....................|     2.719 |     1.008 |     1.252 |     1.951 |
#> |.....................|     2.688 |...........|...........|...........|
#> |   18|     116.80356 |   -0.7327 |   -0.4057 |     1.009 |   -0.6098 |
#> |.....................|   -0.4201 |   -0.9936 |   -0.2364 |    0.2264 |
#> |.....................|    0.5441 |...........|...........|...........|
#> |    U|     116.80356 |    0.4565 |     1.012 |     3.459 |    0.6946 |
#> |.....................|     1.000 |  0.006447 |     1.255 |     1.950 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    X|     116.80356 |     1.578 |     2.750 |     31.80 |    0.6946 |
#> |.....................|     2.719 |     1.006 |     1.255 |     1.950 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.03566 |  -0.09869 |   -0.1316 |  -0.02313 |
#> |.....................| -0.001623 |  -0.03572 |  -0.02324 |   0.01337 |
#> |.....................|   0.06508 |...........|...........|...........|
#> |   19|     116.80346 |   -0.7324 |   -0.4054 |     1.010 |   -0.6097 |
#> |.....................|   -0.4200 |   -0.9933 |   -0.2364 |    0.2266 |
#> |.....................|    0.5435 |...........|...........|...........|
#> |    U|     116.80346 |    0.4567 |     1.012 |     3.460 |    0.6946 |
#> |.....................|     1.000 |  0.006727 |     1.255 |     1.950 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80346 |     1.579 |     2.751 |     31.81 |    0.6946 |
#> |.....................|     2.719 |     1.007 |     1.255 |     1.950 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    C| Central Diff. |  -0.02335 |  -0.01419 |   0.08010 |    0.1344 |
#> |.....................|   0.03695 |  -0.02340 |   -0.1781 |   0.03927 |
#> |.....................|   0.05723 |...........|...........|...........|
#> |   20|     116.80346 |   -0.7324 |   -0.4054 |     1.010 |   -0.6097 |
#> |.....................|   -0.4200 |   -0.9933 |   -0.2364 |    0.2266 |
#> |.....................|    0.5435 |...........|...........|...........|
#> |    U|     116.80346 |    0.4567 |     1.012 |     3.460 |    0.6946 |
#> |.....................|     1.000 |  0.006727 |     1.255 |     1.950 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80346 |     1.579 |     2.751 |     31.81 |    0.6946 |
#> |.....................|     2.719 |     1.007 |     1.255 |     1.950 |
#> |.....................|     2.690 |...........|...........|...........|
#> calculating covariance matrix
#> done
#> Calculating residuals/tables
#> done
#>  added centered_WT*cov_WT_cl to cl's equation in the model
#>  updated value: cl<-exp(tcl+centered_WT*cov_WT_cl+eta.cl)
#> Key: U: Unscaled Parameters; X: Back-transformed parameters; G: Gill difference gradient approximation
#> F: Forward difference gradient approximation
#> C: Central difference gradient approximation
#> M: Mixed forward and central difference gradient approximation
#> Unscaled parameters for Omegas=chol(solve(omega));
#> Diagonals are transformed, as specified by foceiControl(diagXform=)
#> |-----+---------------+-----------+-----------+-----------+-----------|
#> |    #| Objective Fun |       tka |       tcl |        tv |    add.sd |
#> |.....................|centered_WT | cov_WT_cl |        o1 |        o2 |
#> |.....................|        o3 |...........|...........|...........|
#> |    1|     133.57512 |   -0.7391 |   -0.4242 |     1.000 |   -0.5942 |
#> |.....................|   -0.4203 |    -1.000 |   -0.3413 |   -0.2167 |
#> |.....................|   0.03089 |...........|...........|...........|
#> |    U|     133.57512 |    0.4500 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|     1.000 |     0.000 |     1.136 |     1.351 |
#> |.....................|     1.778 |...........|...........|...........|
#> |    X|     133.57512 |     1.568 |     2.700 |     31.50 |    0.7000 |
#> |.....................|     2.718 |     1.000 |     1.136 |     1.351 |
#> |.....................|     1.778 |...........|...........|...........|
#> |    G|    Gill Diff. |   -0.9310 |    -1.614 |    -3.052 |     1.589 |
#> |.....................| -0.001457 |    -1.614 |    -11.78 |    -35.27 |
#> |.....................|    -34.78 |...........|...........|...........|
#> |    2|     123.26516 |   -0.7209 |   -0.3926 |     1.060 |   -0.6253 |
#> |.....................|   -0.4201 |   -0.9684 |   -0.1107 |    0.4736 |
#> |.....................|    0.7116 |...........|...........|...........|
#> |    U|     123.26516 |    0.4682 |     1.025 |     3.510 |    0.6891 |
#> |.....................|     1.000 |   0.03159 |     1.398 |     2.284 |
#> |.....................|     2.989 |...........|...........|...........|
#> |    X|     123.26516 |     1.597 |     2.787 |     33.44 |    0.6891 |
#> |.....................|     2.719 |     1.032 |     1.398 |     2.284 |
#> |.....................|     2.989 |...........|...........|...........|
#> |    F| Forward Diff. |   -0.5868 |     30.11 |     74.23 |    -5.071 |
#> |.....................|    0.5706 |     29.86 |     14.13 |     18.23 |
#> |.....................|     14.14 |...........|...........|...........|
#> |    3|     859.85007 |   -0.7037 |   -0.7267 |    0.2257 |   -0.5836 |
#> |.....................|   -0.4268 |    -1.300 |   -0.1453 |    0.6512 |
#> |.....................|    0.9315 |...........|...........|...........|
#> |    U|     859.85007 |    0.4854 |    0.6908 |     2.676 |    0.7037 |
#> |.....................|    0.9935 |   -0.2996 |     1.359 |     2.524 |
#> |.....................|     3.380 |...........|...........|...........|
#> |    X|     859.85007 |     1.625 |     1.995 |     14.52 |    0.7037 |
#> |.....................|     2.701 |    0.7411 |     1.359 |     2.524 |
#> |.....................|     3.380 |...........|...........|...........|
#> |    4|     120.81610 |   -0.7203 |   -0.4261 |    0.9771 |   -0.6196 |
#> |.....................|   -0.4208 |    -1.002 |   -0.1264 |    0.4533 |
#> |.....................|    0.6959 |...........|...........|...........|
#> |    U|      120.8161 |    0.4689 |    0.9913 |     3.427 |    0.6911 |
#> |.....................|    0.9995 | -0.001655 |     1.380 |     2.257 |
#> |.....................|     2.961 |...........|...........|...........|
#> |    X|      120.8161 |     1.598 |     2.695 |     30.79 |    0.6911 |
#> |.....................|     2.717 |    0.9983 |     1.380 |     2.257 |
#> |.....................|     2.961 |...........|...........|...........|
#> |    F| Forward Diff. |     2.099 |    -13.28 |    -43.93 |    -3.395 |
#> |.....................|   -0.1107 |    -13.26 |     13.28 |     15.66 |
#> |.....................|     9.277 |...........|...........|...........|
#> |    5|     118.45977 |   -0.7247 |   -0.4172 |     1.022 |   -0.6089 |
#> |.....................|   -0.4209 |   -0.9926 |   -0.1681 |    0.3917 |
#> |.....................|    0.6499 |...........|...........|...........|
#> |    U|     118.45977 |    0.4644 |     1.000 |     3.472 |    0.6948 |
#> |.....................|    0.9994 |  0.007380 |     1.333 |     2.173 |
#> |.....................|     2.879 |...........|...........|...........|
#> |    X|     118.45977 |     1.591 |     2.719 |     32.22 |    0.6948 |
#> |.....................|     2.717 |     1.007 |     1.333 |     2.173 |
#> |.....................|     2.879 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.07409 |    0.4343 |     15.45 |    -1.363 |
#> |.....................|    -1.321 |    0.4540 |     7.766 |     11.18 |
#> |.....................|     6.887 |...........|...........|...........|
#> |    6|     118.07299 |   -0.7248 |   -0.4061 |    0.9729 |   -0.6038 |
#> |.....................|   -0.4136 |   -0.9817 |   -0.2060 |    0.3287 |
#> |.....................|    0.6073 |...........|...........|...........|
#> |    U|     118.07299 |    0.4643 |     1.011 |     3.423 |    0.6966 |
#> |.....................|     1.007 |   0.01828 |     1.290 |     2.088 |
#> |.....................|     2.803 |...........|...........|...........|
#> |    X|     118.07299 |     1.591 |     2.749 |     30.66 |    0.6966 |
#> |.....................|     2.737 |     1.018 |     1.290 |     2.088 |
#> |.....................|     2.803 |...........|...........|...........|
#> |    F| Forward Diff. |     1.344 |     3.736 |    -37.78 |  -0.04684 |
#> |.....................|   0.06989 |     3.762 |     3.849 |     7.447 |
#> |.....................|     4.174 |...........|...........|...........|
#> |    7|     117.26519 |   -0.7264 |   -0.4374 |     1.022 |   -0.6094 |
#> |.....................|   -0.4061 |    -1.014 |   -0.2254 |    0.2693 |
#> |.....................|    0.5676 |...........|...........|...........|
#> |    U|     117.26519 |    0.4628 |    0.9800 |     3.472 |    0.6947 |
#> |.....................|     1.014 |  -0.01353 |     1.268 |     2.008 |
#> |.....................|     2.733 |...........|...........|...........|
#> |    X|     117.26519 |     1.588 |     2.664 |     32.21 |    0.6947 |
#> |.....................|     2.757 |    0.9866 |     1.268 |     2.008 |
#> |.....................|     2.733 |...........|...........|...........|
#> |    F| Forward Diff. |   -0.5664 |    -13.66 |     9.555 |   -0.2750 |
#> |.....................|   -0.9035 |    -13.85 |     1.175 |     3.410 |
#> |.....................|     2.098 |...........|...........|...........|
#> |    8|     118.05686 |   -0.7225 |   -0.3748 |     1.025 |   -0.6188 |
#> |.....................|   -0.3985 |   -0.9492 |   -0.2153 |    0.2362 |
#> |.....................|    0.5439 |...........|...........|...........|
#> |    U|     118.05686 |    0.4666 |     1.043 |     3.475 |    0.6914 |
#> |.....................|     1.022 |   0.05084 |     1.279 |     1.963 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    X|     118.05686 |     1.595 |     2.837 |     32.31 |    0.6914 |
#> |.....................|     2.778 |     1.052 |     1.279 |     1.963 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    9|     116.87529 |   -0.7255 |   -0.4157 |     1.007 |   -0.6090 |
#> |.....................|   -0.4046 |   -0.9915 |   -0.2273 |    0.2638 |
#> |.....................|    0.5643 |...........|...........|...........|
#> |    U|     116.87529 |    0.4637 |     1.002 |     3.457 |    0.6948 |
#> |.....................|     1.016 |  0.008506 |     1.266 |     2.000 |
#> |.....................|     2.727 |...........|...........|...........|
#> |    X|     116.87529 |     1.590 |     2.723 |     31.72 |    0.6948 |
#> |.....................|     2.761 |     1.009 |     1.266 |     2.000 |
#> |.....................|     2.727 |...........|...........|...........|
#> |    F| Forward Diff. |   0.09718 |   -0.5758 |    -2.570 |   -0.1384 |
#> |.....................|    -1.067 |   -0.5840 |     1.029 |     2.643 |
#> |.....................|     1.329 |...........|...........|...........|
#> |   10|     117.00331 |   -0.7263 |   -0.4110 |     1.028 |   -0.6079 |
#> |.....................|   -0.3959 |   -0.9867 |   -0.2358 |    0.2421 |
#> |.....................|    0.5533 |...........|...........|...........|
#> |    U|     117.00331 |    0.4629 |     1.006 |     3.478 |    0.6952 |
#> |.....................|     1.024 |   0.01331 |     1.256 |     1.971 |
#> |.....................|     2.707 |...........|...........|...........|
#> |    X|     117.00331 |     1.589 |     2.736 |     32.40 |    0.6952 |
#> |.....................|     2.785 |     1.013 |     1.256 |     1.971 |
#> |.....................|     2.707 |...........|...........|...........|
#> |   11|     116.85677 |   -0.7257 |   -0.4144 |     1.013 |   -0.6087 |
#> |.....................|   -0.4023 |   -0.9902 |   -0.2296 |    0.2580 |
#> |.....................|    0.5613 |...........|...........|...........|
#> |    U|     116.85677 |    0.4634 |     1.003 |     3.463 |    0.6949 |
#> |.....................|     1.018 |  0.009803 |     1.263 |     1.993 |
#> |.....................|     2.722 |...........|...........|...........|
#> |    X|     116.85677 |     1.590 |     2.726 |     31.90 |    0.6949 |
#> |.....................|     2.768 |     1.010 |     1.263 |     1.993 |
#> |.....................|     2.722 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.04765 |    0.6256 |     3.274 |  -0.04788 |
#> |.....................|    -1.060 |    0.6378 |    0.7205 |     2.183 |
#> |.....................|     1.251 |...........|...........|...........|
#> |   12|     116.84445 |   -0.7256 |   -0.4158 |     1.006 |   -0.6086 |
#> |.....................|   -0.3997 |   -0.9916 |   -0.2310 |    0.2530 |
#> |.....................|    0.5585 |...........|...........|...........|
#> |    U|     116.84445 |    0.4635 |     1.002 |     3.456 |    0.6949 |
#> |.....................|     1.021 |  0.008432 |     1.262 |     1.986 |
#> |.....................|     2.716 |...........|...........|...........|
#> |    X|     116.84445 |     1.590 |     2.723 |     31.69 |    0.6949 |
#> |.....................|     2.775 |     1.008 |     1.262 |     1.986 |
#> |.....................|     2.716 |...........|...........|...........|
#> |    F| Forward Diff. |   0.09730 |   -0.6994 |    -3.538 |  -0.03650 |
#> |.....................|    -1.064 |   -0.7129 |    0.6224 |     1.894 |
#> |.....................|    0.9409 |...........|...........|...........|
#> |   13|     116.82752 |   -0.7257 |   -0.4150 |     1.012 |   -0.6089 |
#> |.....................|   -0.3958 |   -0.9907 |   -0.2318 |    0.2475 |
#> |.....................|    0.5555 |...........|...........|...........|
#> |    U|     116.82752 |    0.4634 |     1.002 |     3.462 |    0.6948 |
#> |.....................|     1.024 |  0.009266 |     1.261 |     1.978 |
#> |.....................|     2.711 |...........|...........|...........|
#> |    X|     116.82752 |     1.589 |     2.725 |     31.88 |    0.6948 |
#> |.....................|     2.786 |     1.009 |     1.261 |     1.978 |
#> |.....................|     2.711 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.04193 |    0.2040 |     2.262 |   -0.1521 |
#> |.....................|    -1.050 |    0.2102 |    0.4967 |     1.488 |
#> |.....................|    0.8587 |...........|...........|...........|
#> |   14|     116.81980 |   -0.7256 |   -0.4157 |     1.007 |   -0.6086 |
#> |.....................|   -0.3905 |   -0.9915 |   -0.2326 |    0.2422 |
#> |.....................|    0.5525 |...........|...........|...........|
#> |    U|      116.8198 |    0.4635 |     1.002 |     3.457 |    0.6950 |
#> |.....................|     1.030 |  0.008500 |     1.260 |     1.971 |
#> |.....................|     2.706 |...........|...........|...........|
#> |    X|      116.8198 |     1.590 |     2.723 |     31.72 |    0.6950 |
#> |.....................|     2.800 |     1.009 |     1.260 |     1.971 |
#> |.....................|     2.706 |...........|...........|...........|
#> |    F| Forward Diff. |   0.06676 |   -0.5802 |    -2.545 |   0.01398 |
#> |.....................|    -1.040 |   -0.5962 |   0.01321 |     1.186 |
#> |.....................|    0.5819 |...........|...........|...........|
#> |   15|     116.81249 |   -0.7257 |   -0.4151 |     1.011 |   -0.6086 |
#> |.....................|   -0.3839 |   -0.9908 |   -0.2308 |    0.2379 |
#> |.....................|    0.5500 |...........|...........|...........|
#> |    U|     116.81249 |    0.4634 |     1.002 |     3.461 |    0.6950 |
#> |.....................|     1.036 |  0.009190 |     1.262 |     1.965 |
#> |.....................|     2.701 |...........|...........|...........|
#> |    X|     116.81249 |     1.590 |     2.725 |     31.86 |    0.6950 |
#> |.....................|     2.819 |     1.009 |     1.262 |     1.965 |
#> |.....................|     2.701 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.02431 |    0.1156 |     1.592 |   0.04944 |
#> |.....................|    -1.010 |    0.1201 |    0.6380 |    0.8200 |
#> |.....................|    0.4831 |...........|...........|...........|
#> |   16|     116.80960 |   -0.7257 |   -0.4154 |     1.008 |   -0.6098 |
#> |.....................|   -0.3758 |   -0.9912 |   -0.2330 |    0.2357 |
#> |.....................|    0.5487 |...........|...........|...........|
#> |    U|      116.8096 |    0.4634 |     1.002 |     3.458 |    0.6946 |
#> |.....................|     1.045 |  0.008808 |     1.259 |     1.962 |
#> |.....................|     2.699 |...........|...........|...........|
#> |    X|      116.8096 |     1.590 |     2.724 |     31.75 |    0.6946 |
#> |.....................|     2.842 |     1.009 |     1.259 |     1.962 |
#> |.....................|     2.699 |...........|...........|...........|
#> |    F| Forward Diff. |   0.03766 |   -0.3156 |    -1.557 |   0.01295 |
#> |.....................|   -0.9931 |   -0.3284 |    0.4427 |    0.6703 |
#> |.....................|    0.3523 |...........|...........|...........|
#> |   17|     116.80820 |   -0.7258 |   -0.4149 |     1.011 |   -0.6104 |
#> |.....................|   -0.3679 |   -0.9906 |   -0.2371 |    0.2351 |
#> |.....................|    0.5484 |...........|...........|...........|
#> |    U|      116.8082 |    0.4634 |     1.003 |     3.461 |    0.6943 |
#> |.....................|     1.052 |  0.009444 |     1.255 |     1.962 |
#> |.....................|     2.698 |...........|...........|...........|
#> |    X|      116.8082 |     1.589 |     2.725 |     31.85 |    0.6943 |
#> |.....................|     2.865 |     1.009 |     1.255 |     1.962 |
#> |.....................|     2.698 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.04468 |    0.2690 |     1.586 |  -0.07671 |
#> |.....................|   -0.9719 |    0.2856 |  -0.09668 |    0.6631 |
#> |.....................|    0.4284 |...........|...........|...........|
#> |   18|     116.80691 |   -0.7255 |   -0.4153 |     1.008 |   -0.6096 |
#> |.....................|   -0.3590 |   -0.9911 |   -0.2364 |    0.2342 |
#> |.....................|    0.5472 |...........|...........|...........|
#> |    U|     116.80691 |    0.4636 |     1.002 |     3.458 |    0.6946 |
#> |.....................|     1.061 |  0.008942 |     1.255 |     1.960 |
#> |.....................|     2.696 |...........|...........|...........|
#> |    X|     116.80691 |     1.590 |     2.724 |     31.77 |    0.6946 |
#> |.....................|     2.890 |     1.009 |     1.255 |     1.960 |
#> |.....................|     2.696 |...........|...........|...........|
#> |    F| Forward Diff. |   0.02779 |   -0.1677 |    -1.124 | -0.002516 |
#> |.....................|   -0.9417 |   -0.1689 |-0.0008595 |    0.5422 |
#> |.....................|    0.2791 |...........|...........|...........|
#> |   19|     116.80628 |   -0.7255 |   -0.4148 |     1.011 |   -0.6090 |
#> |.....................|   -0.3504 |   -0.9906 |   -0.2343 |    0.2327 |
#> |.....................|    0.5460 |...........|...........|...........|
#> |    U|     116.80628 |    0.4636 |     1.003 |     3.461 |    0.6948 |
#> |.....................|     1.070 |  0.009366 |     1.258 |     1.958 |
#> |.....................|     2.694 |...........|...........|...........|
#> |    X|     116.80628 |     1.590 |     2.726 |     31.85 |    0.6948 |
#> |.....................|     2.915 |     1.009 |     1.258 |     1.958 |
#> |.....................|     2.694 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.02227 |    0.3104 |     1.408 |  -0.07037 |
#> |.....................|   -0.9140 |    0.3418 |    0.2318 |    0.4631 |
#> |.....................|    0.2483 |...........|...........|...........|
#> |   20|     116.80562 |   -0.7255 |   -0.4152 |     1.009 |   -0.6085 |
#> |.....................|   -0.3464 |   -0.9912 |   -0.2348 |    0.2322 |
#> |.....................|    0.5459 |...........|...........|...........|
#> |    U|     116.80562 |    0.4636 |     1.002 |     3.459 |    0.6950 |
#> |.....................|     1.074 |  0.008778 |     1.257 |     1.958 |
#> |.....................|     2.694 |...........|...........|...........|
#> |    X|     116.80562 |     1.590 |     2.724 |     31.77 |    0.6950 |
#> |.....................|     2.927 |     1.009 |     1.257 |     1.958 |
#> |.....................|     2.694 |...........|...........|...........|
#> |    F| Forward Diff. |   0.02645 |   -0.1435 |   -0.9284 |   0.06898 |
#> |.....................|   -0.9008 |   -0.1445 |    0.2245 |    0.4178 |
#> |.....................|    0.2078 |...........|...........|...........|
#> |   21|     116.80523 |   -0.7256 |   -0.4148 |     1.011 |   -0.6086 |
#> |.....................|   -0.3424 |   -0.9909 |   -0.2356 |    0.2314 |
#> |.....................|    0.5457 |...........|...........|...........|
#> |    U|     116.80523 |    0.4635 |     1.003 |     3.461 |    0.6950 |
#> |.....................|     1.078 |  0.009104 |     1.256 |     1.957 |
#> |.....................|     2.694 |...........|...........|...........|
#> |    X|     116.80523 |     1.590 |     2.726 |     31.84 |    0.6950 |
#> |.....................|     2.939 |     1.009 |     1.256 |     1.957 |
#> |.....................|     2.694 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.02893 |    0.2145 |     1.146 |   0.01324 |
#> |.....................|   -0.9001 |    0.2420 |   0.06451 |    0.3671 |
#> |.....................|    0.2252 |...........|...........|...........|
#> |   22|     116.80465 |   -0.7256 |   -0.4151 |     1.009 |   -0.6086 |
#> |.....................|   -0.3410 |   -0.9913 |   -0.2357 |    0.2309 |
#> |.....................|    0.5453 |...........|...........|...........|
#> |    U|     116.80465 |    0.4635 |     1.002 |     3.459 |    0.6950 |
#> |.....................|     1.079 |  0.008735 |     1.256 |     1.956 |
#> |.....................|     2.693 |...........|...........|...........|
#> |    X|     116.80465 |     1.590 |     2.725 |     31.79 |    0.6950 |
#> |.....................|     2.943 |     1.009 |     1.256 |     1.956 |
#> |.....................|     2.693 |...........|...........|...........|
#> |    F| Forward Diff. |   0.01212 |   -0.1039 |   -0.5735 |   0.06024 |
#> |.....................|   -0.8870 |   -0.1020 |   0.05391 |    0.3428 |
#> |.....................|    0.1724 |...........|...........|...........|
#> |   23|     116.80425 |   -0.7256 |   -0.4149 |     1.010 |   -0.6088 |
#> |.....................|   -0.3391 |   -0.9911 |   -0.2359 |    0.2302 |
#> |.....................|    0.5450 |...........|...........|...........|
#> |    U|     116.80425 |    0.4635 |     1.003 |     3.460 |    0.6949 |
#> |.....................|     1.081 |  0.008948 |     1.256 |     1.955 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    X|     116.80425 |     1.590 |     2.725 |     31.82 |    0.6949 |
#> |.....................|     2.948 |     1.009 |     1.256 |     1.955 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.01639 |    0.1037 |    0.5987 |   0.02830 |
#> |.....................|   -0.8864 |    0.1225 |   0.04883 |    0.2777 |
#> |.....................|    0.1680 |...........|...........|...........|
#> |   24|     116.80424 |   -0.7256 |   -0.4151 |     1.009 |   -0.6088 |
#> |.....................|   -0.3373 |   -0.9913 |   -0.2360 |    0.2296 |
#> |.....................|    0.5446 |...........|...........|...........|
#> |    U|     116.80424 |    0.4635 |     1.002 |     3.459 |    0.6949 |
#> |.....................|     1.083 |  0.008691 |     1.256 |     1.954 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    X|     116.80424 |     1.590 |     2.725 |     31.78 |    0.6949 |
#> |.....................|     2.954 |     1.009 |     1.256 |     1.954 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    C| Central Diff. |-0.0001167 |   -0.1557 |   -0.7359 |   0.05313 |
#> |.....................|    0.4682 |   -0.1686 |   -0.1753 |    0.2650 |
#> |.....................|    0.1198 |...........|...........|...........|
#> |   25|     116.80386 |   -0.7256 |   -0.4149 |     1.010 |   -0.6089 |
#> |.....................|   -0.3379 |   -0.9911 |   -0.2357 |    0.2293 |
#> |.....................|    0.5445 |...........|...........|...........|
#> |    U|     116.80386 |    0.4635 |     1.003 |     3.460 |    0.6949 |
#> |.....................|     1.082 |  0.008898 |     1.256 |     1.954 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    X|     116.80386 |     1.590 |     2.725 |     31.81 |    0.6949 |
#> |.....................|     2.952 |     1.009 |     1.256 |     1.954 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    F| Forward Diff. | -0.005283 |   0.06096 |    0.2574 |   0.03751 |
#> |.....................|   -0.8770 |   0.07625 |   0.05273 |    0.2261 |
#> |.....................|    0.1359 |...........|...........|...........|
#> |   26|     116.80382 |   -0.7255 |   -0.4149 |     1.010 |   -0.6093 |
#> |.....................|   -0.3369 |   -0.9911 |   -0.2353 |    0.2290 |
#> |.....................|    0.5444 |...........|...........|...........|
#> |    U|     116.80382 |    0.4636 |     1.003 |     3.460 |    0.6947 |
#> |.....................|     1.083 |  0.008879 |     1.257 |     1.953 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    X|     116.80382 |     1.590 |     2.725 |     31.82 |    0.6947 |
#> |.....................|     2.955 |     1.009 |     1.257 |     1.953 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    C| Central Diff. |  -0.01642 |   0.03867 |    0.2678 |   0.03984 |
#> |.....................|    0.4930 |   0.04192 |  -0.02741 |    0.2097 |
#> |.....................|    0.1227 |...........|...........|...........|
#> |   27|     116.80374 |   -0.7255 |   -0.4149 |     1.010 |   -0.6093 |
#> |.....................|   -0.3374 |   -0.9912 |   -0.2353 |    0.2288 |
#> |.....................|    0.5442 |...........|...........|...........|
#> |    U|     116.80374 |    0.4636 |     1.003 |     3.460 |    0.6947 |
#> |.....................|     1.083 |  0.008839 |     1.257 |     1.953 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    X|     116.80374 |     1.590 |     2.725 |     31.81 |    0.6947 |
#> |.....................|     2.953 |     1.009 |     1.257 |     1.953 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    C| Central Diff. |  -0.01008 | -0.002947 |   0.01119 | -0.003481 |
#> |.....................|    0.4506 | -0.003364 |  -0.06411 |    0.2096 |
#> |.....................|    0.1102 |...........|...........|...........|
#> |   28|     116.80370 |   -0.7255 |   -0.4149 |     1.010 |   -0.6093 |
#> |.....................|   -0.3379 |   -0.9912 |   -0.2352 |    0.2286 |
#> |.....................|    0.5441 |...........|...........|...........|
#> |    U|      116.8037 |    0.4636 |     1.003 |     3.460 |    0.6947 |
#> |.....................|     1.082 |  0.008843 |     1.257 |     1.953 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    X|      116.8037 |     1.590 |     2.725 |     31.81 |    0.6947 |
#> |.....................|     2.952 |     1.009 |     1.257 |     1.953 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    C| Central Diff. | -0.008927 | -0.003530 | -0.002543 |   0.03935 |
#> |.....................|    0.4491 | -0.003826 |  -0.05456 |    0.1732 |
#> |.....................|   0.09266 |...........|...........|...........|
#> |   29|     116.80365 |   -0.7255 |   -0.4149 |     1.010 |   -0.6094 |
#> |.....................|   -0.3390 |   -0.9911 |   -0.2351 |    0.2282 |
#> |.....................|    0.5439 |...........|...........|...........|
#> |    U|     116.80365 |    0.4637 |     1.003 |     3.460 |    0.6947 |
#> |.....................|     1.081 |  0.008852 |     1.257 |     1.952 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    X|     116.80365 |     1.590 |     2.725 |     31.81 |    0.6947 |
#> |.....................|     2.949 |     1.009 |     1.257 |     1.952 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    C| Central Diff. | -0.007599 | -0.001520 | 0.0005778 |   0.02794 |
#> |.....................|    0.4720 | -0.001619 |  -0.02704 |    0.1464 |
#> |.....................|   0.07022 |...........|...........|...........|
#> |   30|     116.80358 |   -0.7254 |   -0.4149 |     1.010 |   -0.6096 |
#> |.....................|   -0.3412 |   -0.9911 |   -0.2350 |    0.2275 |
#> |.....................|    0.5436 |...........|...........|...........|
#> |    U|     116.80358 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.079 |  0.008860 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80358 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.942 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    C| Central Diff. | -0.005416 | -0.004754 |  0.003477 |   0.06070 |
#> |.....................|    0.4775 | -0.005155 | -0.009362 |   0.09563 |
#> |.....................|   0.04744 |...........|...........|...........|
#> |   31|     116.80356 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3423 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80356 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80356 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    C| Central Diff. | -0.004504 | -0.001809 | -0.007112 |  -0.08529 |
#> |.....................|    0.4776 | -0.001961 |  -0.04002 |   0.07330 |
#> |.....................|   0.05623 |...........|...........|...........|
#> |   32|     116.80356 |   -0.7254 |   -0.4149 |     1.010 |   -0.6096 |
#> |.....................|   -0.3429 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80356 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.077 |  0.008874 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80356 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.937 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   33|     116.80362 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3426 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80362 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008873 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80362 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.938 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   34|     116.80362 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80362 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008873 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80362 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.938 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   35|     116.80355 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80355 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80355 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    C| Central Diff. | -0.004420 | -0.001815 |  -0.01189 |   -0.1646 |
#> |.....................|    0.5141 | -0.001996 |   0.02918 |   0.09605 |
#> |.....................|   0.03007 |...........|...........|...........|
#> |   36|     116.80356 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80356 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80356 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.938 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   37|     116.80358 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80358 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80358 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   38|     116.80358 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80358 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80358 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   39|     116.80357 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80357 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80357 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   40|     116.80357 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80357 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80357 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   41|     116.80357 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80357 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80357 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   42|     116.80356 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80356 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80356 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   43|     116.80356 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80356 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80356 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   44|     116.80356 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80356 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80356 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   45|     116.80356 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80356 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80356 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   46|     116.80356 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80356 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80356 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   47|     116.80356 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80356 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80356 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> calculating covariance matrix
#> done
#> Calculating residuals/tables
#> done
#>  added categorical_SEX_0*cov_SEX_0_ka to ka's equation in the model
#>  updated value: ka<-exp(tka+categorical_SEX_0*cov_SEX_0_ka+eta.ka)
#> → creating full model...
#> → pruning branches (`if`/`else`)...
#>  done
#> → loading into symengine environment...
#>  done
#> → creating full model...
#> → pruning branches (`if`/`else`)...
#>  done
#> → loading into symengine environment...
#>  done
#> → calculate jacobian
#> 
#> → calculate ∂(f)/∂(η)
#> 
#> → calculate ∂(R²)/∂(η)
#> 
#> → finding duplicate expressions in inner model...
#> 
#> → optimizing duplicate expressions in inner model...
#> 
#> → finding duplicate expressions in EBE model...
#> 
#> → optimizing duplicate expressions in EBE model...
#> 
#> → compiling inner model...
#>  
#>  done
#> → finding duplicate expressions in FD model...
#> 
#> → compiling EBE model...
#>  
#>  done
#> → compiling events FD model...
#>  
#>  done
#> Needed Covariates:
#> [1] "categorical_SEX_0"
#> Key: U: Unscaled Parameters; X: Back-transformed parameters; G: Gill difference gradient approximation
#> F: Forward difference gradient approximation
#> C: Central difference gradient approximation
#> M: Mixed forward and central difference gradient approximation
#> Unscaled parameters for Omegas=chol(solve(omega));
#> Diagonals are transformed, as specified by foceiControl(diagXform=)
#> |-----+---------------+-----------+-----------+-----------+-----------|
#> |    #| Objective Fun |       tka |       tcl |        tv |    add.sd |
#> |.....................|cov_SEX_0_ka |        o1 |        o2 |        o3 |
#> |    1|     133.57512 |   -0.7391 |   -0.4242 |     1.000 |   -0.5942 |
#> |.....................|    -1.000 |   -0.3413 |   -0.2167 |   0.03089 |
#> |    U|     133.57512 |    0.4500 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|     0.000 |     1.136 |     1.351 |     1.778 |
#> |    X|     133.57512 |     1.568 |     2.700 |     31.50 |    0.7000 |
#> |.....................|     1.000 |     1.136 |     1.351 |     1.778 |
#> |    G|    Gill Diff. |   -0.9310 |    -1.614 |    -3.052 |     1.589 |
#> |.....................|   -0.3833 |    -11.78 |    -35.27 |    -34.78 |
#> |    2|     122.57176 |   -0.7209 |   -0.3926 |     1.060 |   -0.6253 |
#> |.....................|   -0.9925 |   -0.1106 |    0.4740 |    0.7119 |
#> |    U|     122.57176 |    0.4682 |     1.025 |     3.510 |    0.6891 |
#> |.....................|  0.007504 |     1.398 |     2.284 |     2.989 |
#> |    X|     122.57176 |     1.597 |     2.787 |     33.44 |    0.6891 |
#> |.....................|     1.008 |     1.398 |     2.284 |     2.989 |
#> |    F| Forward Diff. |   -0.6138 |     14.75 |     69.97 |    -5.068 |
#> |.....................|   -0.1255 |     14.08 |     16.75 |     13.96 |
#> |    3|     691.05960 |   -0.7027 |   -0.5840 |    0.1043 |   -0.5701 |
#> |.....................|   -0.9868 |   -0.1885 |    0.5987 |    0.8711 |
#> |    U|      691.0596 |    0.4864 |    0.8334 |     2.554 |    0.7084 |
#> |.....................|   0.01320 |     1.310 |     2.453 |     3.272 |
#> |    X|      691.0596 |     1.626 |     2.301 |     12.86 |    0.7084 |
#> |.....................|     1.013 |     1.310 |     2.453 |     3.272 |
#> |    4|     121.03067 |   -0.7201 |   -0.4119 |    0.9680 |   -0.6187 |
#> |.....................|   -0.9923 |   -0.1291 |    0.4520 |    0.6936 |
#> |    U|     121.03067 |    0.4690 |     1.006 |     3.418 |    0.6914 |
#> |.....................|  0.007669 |     1.377 |     2.255 |     2.957 |
#> |    X|     121.03067 |     1.598 |     2.733 |     30.51 |    0.6914 |
#> |.....................|     1.008 |     1.377 |     2.255 |     2.957 |
#> |    F| Forward Diff. |     2.906 |    -6.927 |    -53.50 |    -3.168 |
#> |.....................|     1.742 |     13.24 |     15.45 |     9.487 |
#> |    5|     118.40376 |   -0.7259 |   -0.4104 |     1.019 |   -0.6075 |
#> |.....................|   -0.9959 |   -0.1720 |    0.3935 |    0.6497 |
#> |    U|     118.40376 |    0.4632 |     1.007 |     3.469 |    0.6954 |
#> |.....................|  0.004068 |     1.329 |     2.176 |     2.879 |
#> |    X|     118.40376 |     1.589 |     2.738 |     32.11 |    0.6954 |
#> |.....................|     1.004 |     1.329 |     2.176 |     2.879 |
#> |    F| Forward Diff. |   0.06943 |   -0.1210 |     11.55 |    -1.206 |
#> |.....................|    0.1265 |     7.334 |     11.27 |     6.739 |
#> |    6|     117.96347 |   -0.7265 |   -0.4041 |    0.9745 |   -0.6023 |
#> |.....................|   -0.9967 |   -0.2119 |    0.3257 |    0.6079 |
#> |    U|     117.96347 |    0.4626 |     1.013 |     3.425 |    0.6972 |
#> |.....................|  0.003313 |     1.283 |     2.084 |     2.804 |
#> |    X|     117.96347 |     1.588 |     2.755 |     30.71 |    0.6972 |
#> |.....................|     1.003 |     1.283 |     2.084 |     2.804 |
#> |    F| Forward Diff. |     1.151 |    -2.174 |    -37.47 |    0.1929 |
#> |.....................|    0.6283 |     3.090 |     7.222 |     4.287 |
#> |    7|     117.01052 |   -0.7240 |   -0.4046 |     1.027 |   -0.6151 |
#> |.....................|   -0.9949 |   -0.2188 |    0.2547 |    0.5630 |
#> |    U|     117.01052 |    0.4651 |     1.013 |     3.477 |    0.6927 |
#> |.....................|  0.005105 |     1.275 |     1.988 |     2.725 |
#> |    X|     117.01052 |     1.592 |     2.754 |     32.35 |    0.6927 |
#> |.....................|     1.005 |     1.275 |     1.988 |     2.725 |
#> |    F| Forward Diff. |   -0.1135 |     1.555 |     17.12 |   -0.7676 |
#> |.....................|   0.04685 |     2.022 |     2.107 |     1.858 |
#> |    8|     117.19994 |   -0.7301 |   -0.4496 |     1.005 |   -0.6190 |
#> |.....................|    -1.001 |   -0.2216 |    0.1978 |    0.4985 |
#> |    U|     117.19994 |    0.4590 |    0.9679 |     3.455 |    0.6913 |
#> |.....................| -0.001212 |     1.272 |     1.911 |     2.610 |
#> |    X|     117.19994 |     1.583 |     2.632 |     31.67 |    0.6913 |
#> |.....................|    0.9988 |     1.272 |     1.911 |     2.610 |
#> |    9|     116.86330 |   -0.7258 |   -0.4199 |     1.006 |   -0.6157 |
#> |.....................|   -0.9969 |   -0.2213 |    0.2352 |    0.5414 |
#> |    U|      116.8633 |    0.4633 |    0.9976 |     3.456 |    0.6925 |
#> |.....................|  0.003095 |     1.273 |     1.962 |     2.686 |
#> |    X|      116.8633 |     1.589 |     2.712 |     31.69 |    0.6925 |
#> |.....................|     1.003 |     1.273 |     1.962 |     2.686 |
#> |    F| Forward Diff. |    0.1191 |    -4.492 |    -4.573 |   -0.6919 |
#> |.....................|    0.1224 |     1.886 |    0.6391 | -0.004244 |
#> |   10|     116.87411 |   -0.7264 |   -0.3840 |     1.006 |   -0.6094 |
#> |.....................|   -0.9982 |   -0.2350 |    0.2323 |    0.5392 |
#> |    U|     116.87411 |    0.4628 |     1.033 |     3.456 |    0.6947 |
#> |.....................|  0.001768 |     1.257 |     1.958 |     2.682 |
#> |    X|     116.87411 |     1.588 |     2.811 |     31.69 |    0.6947 |
#> |.....................|     1.002 |     1.257 |     1.958 |     2.682 |
#> |   11|     116.81210 |   -0.7261 |   -0.4038 |     1.012 |   -0.6130 |
#> |.....................|   -0.9974 |   -0.2277 |    0.2336 |    0.5407 |
#> |    U|      116.8121 |    0.4630 |     1.014 |     3.462 |    0.6934 |
#> |.....................|  0.002554 |     1.265 |     1.960 |     2.685 |
#> |    X|      116.8121 |     1.589 |     2.756 |     31.87 |    0.6934 |
#> |.....................|     1.003 |     1.265 |     1.960 |     2.685 |
#> |    F| Forward Diff. |   0.01717 |    0.6550 |     1.923 |   -0.2624 |
#> |.....................|   0.03243 |     1.074 |    0.4303 |   0.02936 |
#> |   12|     116.82346 |   -0.7263 |   -0.4053 |     1.004 |   -0.6092 |
#> |.....................|   -0.9979 |   -0.2429 |    0.2340 |    0.5468 |
#> |    U|     116.82346 |    0.4629 |     1.012 |     3.454 |    0.6948 |
#> |.....................|  0.002061 |     1.248 |     1.960 |     2.696 |
#> |    X|     116.82346 |     1.589 |     2.751 |     31.63 |    0.6948 |
#> |.....................|     1.002 |     1.248 |     1.960 |     2.696 |
#> |   13|     116.81327 |   -0.7262 |   -0.4057 |     1.006 |   -0.6122 |
#> |.....................|   -0.9975 |   -0.2308 |    0.2323 |    0.5406 |
#> |    U|     116.81327 |    0.4629 |     1.012 |     3.456 |    0.6937 |
#> |.....................|  0.002459 |     1.262 |     1.958 |     2.685 |
#> |    X|     116.81327 |     1.589 |     2.750 |     31.69 |    0.6937 |
#> |.....................|     1.002 |     1.262 |     1.958 |     2.685 |
#> |   14|     116.80847 |   -0.7262 |   -0.4047 |     1.009 |   -0.6126 |
#> |.....................|   -0.9975 |   -0.2291 |    0.2330 |    0.5407 |
#> |    U|     116.80847 |    0.4630 |     1.013 |     3.459 |    0.6935 |
#> |.....................|  0.002510 |     1.264 |     1.959 |     2.685 |
#> |    X|     116.80847 |     1.589 |     2.753 |     31.79 |    0.6935 |
#> |.....................|     1.003 |     1.264 |     1.959 |     2.685 |
#> |    F| Forward Diff. |   0.06602 |    0.2217 |   -0.6063 |   -0.2064 |
#> |.....................|   0.07349 |    0.9058 |    0.4319 |  -0.02269 |
#> |   15|     116.80615 |   -0.7263 |   -0.4053 |     1.011 |   -0.6121 |
#> |.....................|   -0.9977 |   -0.2315 |    0.2318 |    0.5407 |
#> |    U|     116.80615 |    0.4628 |     1.012 |     3.461 |    0.6937 |
#> |.....................|  0.002316 |     1.261 |     1.957 |     2.685 |
#> |    X|     116.80615 |     1.589 |     2.752 |     31.84 |    0.6937 |
#> |.....................|     1.002 |     1.261 |     1.957 |     2.685 |
#> |    F| Forward Diff. |  0.004366 |    0.1398 |    0.8989 |   -0.2182 |
#> |.....................|   0.03171 |    0.5977 |    0.3486 |   0.01430 |
#> |   16|     116.80588 |   -0.7263 |   -0.4056 |     1.008 |   -0.6115 |
#> |.....................|   -0.9978 |   -0.2332 |    0.2309 |    0.5407 |
#> |    U|     116.80588 |    0.4628 |     1.012 |     3.458 |    0.6939 |
#> |.....................|  0.002229 |     1.259 |     1.956 |     2.685 |
#> |    X|     116.80588 |     1.588 |     2.751 |     31.76 |    0.6939 |
#> |.....................|     1.002 |     1.259 |     1.956 |     2.685 |
#> |    F| Forward Diff. |   0.05136 |   -0.1335 |    -1.458 |   -0.1218 |
#> |.....................|   0.03459 |    0.4392 |    0.3226 |  -0.05937 |
#> |   17|     116.80398 |   -0.7262 |   -0.4054 |     1.010 |   -0.6102 |
#> |.....................|   -0.9978 |   -0.2340 |    0.2296 |    0.5424 |
#> |    U|     116.80398 |    0.4629 |     1.012 |     3.460 |    0.6944 |
#> |.....................|  0.002171 |     1.258 |     1.954 |     2.688 |
#> |    X|     116.80398 |     1.589 |     2.751 |     31.82 |    0.6944 |
#> |.....................|     1.002 |     1.258 |     1.954 |     2.688 |
#> |    F| Forward Diff. |   0.01698 |   0.05928 |    0.3320 |   0.04971 |
#> |.....................|   0.03278 |    0.2857 |    0.2292 |   0.04921 |
#> |   18|     116.80390 |   -0.7263 |   -0.4052 |     1.009 |   -0.6120 |
#> |.....................|   -0.9982 |   -0.2351 |    0.2276 |    0.5433 |
#> |    U|      116.8039 |    0.4628 |     1.012 |     3.459 |    0.6938 |
#> |.....................|  0.001752 |     1.257 |     1.952 |     2.689 |
#> |    X|      116.8039 |     1.589 |     2.752 |     31.79 |    0.6938 |
#> |.....................|     1.002 |     1.257 |     1.952 |     2.689 |
#> |    C| Central Diff. |  0.006937 | 0.0002783 |   -0.6092 |   -0.1246 |
#> |.....................| -0.005878 |    0.1261 |    0.1405 |   0.04195 |
#> |   19|     116.80390 |   -0.7263 |   -0.4052 |     1.009 |   -0.6120 |
#> |.....................|   -0.9982 |   -0.2351 |    0.2276 |    0.5433 |
#> |    U|      116.8039 |    0.4628 |     1.012 |     3.459 |    0.6938 |
#> |.....................|  0.001752 |     1.257 |     1.952 |     2.689 |
#> |    X|      116.8039 |     1.589 |     2.752 |     31.79 |    0.6938 |
#> |.....................|     1.002 |     1.257 |     1.952 |     2.689 |
#> calculating covariance matrix
#> done
#> Calculating residuals/tables
#> done
#>  added categorical_SEX_0*cov_SEX_0_cl to cl's equation in the model
#>  updated value: cl<-exp(tcl+categorical_SEX_0*cov_SEX_0_cl+eta.cl)
#> → creating full model...
#> → pruning branches (`if`/`else`)...
#>  done
#> → loading into symengine environment...
#>  done
#> → creating full model...
#> → pruning branches (`if`/`else`)...
#>  done
#> → loading into symengine environment...
#>  done
#> → calculate jacobian
#> 
#> → calculate ∂(f)/∂(η)
#> 
#> → calculate ∂(R²)/∂(η)
#> 
#> → finding duplicate expressions in inner model...
#> 
#> → optimizing duplicate expressions in inner model...
#> 
#> → finding duplicate expressions in EBE model...
#> 
#> → optimizing duplicate expressions in EBE model...
#> 
#> → compiling inner model...
#>  
#>  done
#> → finding duplicate expressions in FD model...
#> 
#> → compiling EBE model...
#>  
#>  done
#> → compiling events FD model...
#>  
#>  done
#> Needed Covariates:
#> [1] "categorical_SEX_0"
#> Key: U: Unscaled Parameters; X: Back-transformed parameters; G: Gill difference gradient approximation
#> F: Forward difference gradient approximation
#> C: Central difference gradient approximation
#> M: Mixed forward and central difference gradient approximation
#> Unscaled parameters for Omegas=chol(solve(omega));
#> Diagonals are transformed, as specified by foceiControl(diagXform=)
#> |-----+---------------+-----------+-----------+-----------+-----------|
#> |    #| Objective Fun |       tka |       tcl |        tv |    add.sd |
#> |.....................|cov_SEX_0_cl |        o1 |        o2 |        o3 |
#> |    1|     133.57512 |   -0.7391 |   -0.4242 |     1.000 |   -0.5942 |
#> |.....................|    -1.000 |   -0.3413 |   -0.2167 |   0.03089 |
#> |    U|     133.57512 |    0.4500 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|     0.000 |     1.136 |     1.351 |     1.778 |
#> |    X|     133.57512 |     1.568 |     2.700 |     31.50 |    0.7000 |
#> |.....................|     1.000 |     1.136 |     1.351 |     1.778 |
#> |    G|    Gill Diff. |   -0.9310 |    -1.614 |    -3.052 |     1.589 |
#> |.....................|    -1.864 |    -11.78 |    -35.27 |    -34.78 |
#> |    2|     122.79252 |   -0.7209 |   -0.3926 |     1.060 |   -0.6253 |
#> |.....................|   -0.9635 |   -0.1107 |    0.4735 |    0.7115 |
#> |    U|     122.79252 |    0.4682 |     1.025 |     3.510 |    0.6891 |
#> |.....................|   0.03648 |     1.398 |     2.284 |     2.989 |
#> |    X|     122.79252 |     1.597 |     2.787 |     33.44 |    0.6891 |
#> |.....................|     1.037 |     1.398 |     2.284 |     2.989 |
#> |    F| Forward Diff. |   -0.7224 |     23.53 |     72.49 |    -4.846 |
#> |.....................|     11.03 |     14.22 |     17.29 |     14.16 |
#> |    3|     736.39476 |   -0.7016 |   -0.6833 |    0.1439 |   -0.5787 |
#> |.....................|    -1.088 |   -0.1720 |    0.6205 |    0.8942 |
#> |    U|     736.39476 |    0.4875 |    0.7342 |     2.594 |    0.7054 |
#> |.....................|  -0.08802 |     1.329 |     2.482 |     3.313 |
#> |    X|     736.39476 |     1.628 |     2.084 |     13.38 |    0.7054 |
#> |.....................|    0.9157 |     1.329 |     2.482 |     3.313 |
#> |    4|     120.79421 |   -0.7200 |   -0.4215 |    0.9709 |   -0.6194 |
#> |.....................|   -0.9770 |   -0.1282 |    0.4523 |    0.6941 |
#> |    U|     120.79421 |    0.4691 |    0.9960 |     3.421 |    0.6912 |
#> |.....................|   0.02296 |     1.378 |     2.255 |     2.958 |
#> |    X|     120.79421 |     1.599 |     2.707 |     30.60 |    0.6912 |
#> |.....................|     1.023 |     1.378 |     2.255 |     2.958 |
#> |    F| Forward Diff. |     2.534 |    -5.692 |    -49.42 |    -3.130 |
#> |.....................|    -5.302 |     13.05 |     15.32 |     9.338 |
#> |    5|     118.38422 |   -0.7252 |   -0.4264 |     1.023 |   -0.6089 |
#> |.....................|   -0.9744 |   -0.1700 |    0.3935 |    0.6501 |
#> |    U|     118.38422 |    0.4639 |    0.9910 |     3.473 |    0.6949 |
#> |.....................|   0.02562 |     1.331 |     2.176 |     2.879 |
#> |    X|     118.38422 |     1.590 |     2.694 |     32.22 |    0.6949 |
#> |.....................|     1.026 |     1.331 |     2.176 |     2.879 |
#> |    F| Forward Diff. |   -0.1463 |    -1.154 |     15.21 |    -1.138 |
#> |.....................|    -2.496 |     7.504 |     11.07 |     6.962 |
#> |    6|     117.77043 |   -0.7253 |   -0.4088 |    0.9789 |   -0.6044 |
#> |.....................|   -0.9558 |   -0.2082 |    0.3294 |    0.6070 |
#> |    U|     117.77043 |    0.4639 |     1.009 |     3.429 |    0.6964 |
#> |.....................|   0.04417 |     1.287 |     2.089 |     2.803 |
#> |    X|     117.77043 |     1.590 |     2.742 |     30.84 |    0.6964 |
#> |.....................|     1.045 |     1.287 |     2.089 |     2.803 |
#> |    F| Forward Diff. |     1.141 |     4.597 |    -31.16 |   0.08457 |
#> |.....................|     2.182 |     3.543 |     7.253 |     4.044 |
#> |    7|     116.96098 |   -0.7250 |   -0.4401 |     1.025 |   -0.6153 |
#> |.....................|   -0.9703 |   -0.2219 |    0.2619 |    0.5643 |
#> |    U|     116.96098 |    0.4641 |    0.9773 |     3.475 |    0.6926 |
#> |.....................|   0.02969 |     1.272 |     1.998 |     2.727 |
#> |    X|     116.96098 |     1.591 |     2.657 |     32.30 |    0.6926 |
#> |.....................|     1.030 |     1.272 |     1.998 |     2.727 |
#> |    F| Forward Diff. |   -0.3967 |    -5.118 |     14.10 |   -0.8944 |
#> |.....................|    -3.807 |     1.589 |     2.347 |     1.916 |
#> |    8|     117.38482 |   -0.7213 |   -0.3814 |     1.017 |   -0.6133 |
#> |.....................|   -0.9268 |   -0.2089 |    0.2126 |    0.5200 |
#> |    U|     117.38482 |    0.4678 |     1.036 |     3.467 |    0.6933 |
#> |.....................|   0.07318 |     1.287 |     1.931 |     2.648 |
#> |    X|     117.38482 |     1.596 |     2.818 |     32.04 |    0.6933 |
#> |.....................|     1.076 |     1.287 |     1.931 |     2.648 |
#> |    9|     116.76698 |   -0.7239 |   -0.4235 |     1.006 |   -0.6138 |
#> |.....................|   -0.9580 |   -0.2216 |    0.2504 |    0.5542 |
#> |    U|     116.76698 |    0.4653 |    0.9940 |     3.456 |    0.6931 |
#> |.....................|   0.04202 |     1.272 |     1.982 |     2.709 |
#> |    X|     116.76698 |     1.592 |     2.702 |     31.69 |    0.6931 |
#> |.....................|     1.043 |     1.272 |     1.982 |     2.709 |
#> |    F| Forward Diff. |    0.2564 |    0.7371 |    -3.485 |   -0.5046 |
#> |.....................|   0.05455 |     1.833 |     1.505 |    0.7553 |
#> |   10|     116.77116 |   -0.7265 |   -0.4240 |     1.015 |   -0.6009 |
#> |.....................|   -0.9497 |   -0.2474 |    0.2438 |    0.5530 |
#> |    U|     116.77116 |    0.4627 |    0.9935 |     3.465 |    0.6977 |
#> |.....................|   0.05029 |     1.243 |     1.973 |     2.707 |
#> |    X|     116.77116 |     1.588 |     2.701 |     31.97 |    0.6977 |
#> |.....................|     1.052 |     1.243 |     1.973 |     2.707 |
#> |   11|     116.75064 |   -0.7251 |   -0.4249 |     1.014 |   -0.6092 |
#> |.....................|   -0.9556 |   -0.2323 |    0.2460 |    0.5526 |
#> |    U|     116.75064 |    0.4641 |    0.9926 |     3.464 |    0.6948 |
#> |.....................|   0.04440 |     1.260 |     1.976 |     2.706 |
#> |    X|     116.75064 |     1.591 |     2.698 |     31.95 |    0.6948 |
#> |.....................|     1.045 |     1.260 |     1.976 |     2.706 |
#> |    F| Forward Diff. |  -0.04480 |     1.210 |     4.754 |   0.06853 |
#> |.....................|    0.4846 |    0.4376 |     1.181 |    0.8815 |
#> |   12|     116.74781 |   -0.7258 |   -0.4344 |     1.007 |   -0.6080 |
#> |.....................|   -0.9590 |   -0.2378 |    0.2402 |    0.5490 |
#> |    U|     116.74781 |    0.4633 |    0.9830 |     3.457 |    0.6952 |
#> |.....................|   0.04096 |     1.254 |     1.969 |     2.700 |
#> |    X|     116.74781 |     1.589 |     2.673 |     31.71 |    0.6952 |
#> |.....................|     1.042 |     1.254 |     1.969 |     2.700 |
#> |    F| Forward Diff. |  0.008017 |    -2.721 |    -3.222 |    0.2572 |
#> |.....................|    -1.739 |   -0.1191 |    0.7926 |    0.4858 |
#> |   13|     116.72996 |   -0.7258 |   -0.4301 |     1.011 |   -0.6094 |
#> |.....................|   -0.9561 |   -0.2367 |    0.2380 |    0.5475 |
#> |    U|     116.72996 |    0.4633 |    0.9874 |     3.461 |    0.6947 |
#> |.....................|   0.04388 |     1.255 |     1.966 |     2.697 |
#> |    X|     116.72996 |     1.589 |     2.684 |     31.86 |    0.6947 |
#> |.....................|     1.045 |     1.255 |     1.966 |     2.697 |
#> |    F| Forward Diff. |  -0.06375 |   -0.6705 |     1.584 |    0.1387 |
#> |.....................|   -0.4893 |    0.1923 |    0.6005 |    0.5040 |
#> |   14|     116.73508 |   -0.7256 |   -0.4274 |     1.005 |   -0.6099 |
#> |.....................|   -0.9542 |   -0.2374 |    0.2357 |    0.5455 |
#> |    U|     116.73508 |    0.4636 |    0.9900 |     3.455 |    0.6945 |
#> |.....................|   0.04579 |     1.254 |     1.962 |     2.693 |
#> |    X|     116.73508 |     1.590 |     2.691 |     31.66 |    0.6945 |
#> |.....................|     1.047 |     1.254 |     1.962 |     2.693 |
#> |   15|     116.72731 |   -0.7257 |   -0.4291 |     1.009 |   -0.6096 |
#> |.....................|   -0.9554 |   -0.2370 |    0.2371 |    0.5467 |
#> |    U|     116.72731 |    0.4634 |    0.9884 |     3.459 |    0.6946 |
#> |.....................|   0.04459 |     1.255 |     1.964 |     2.696 |
#> |    X|     116.72731 |     1.589 |     2.687 |     31.79 |    0.6946 |
#> |.....................|     1.046 |     1.255 |     1.964 |     2.696 |
#> |    F| Forward Diff. | -0.001385 |   -0.4217 |   -0.5690 |   0.09627 |
#> |.....................|   -0.3311 |  -0.07777 |    0.5526 |    0.3931 |
#> |   16|     116.72600 |   -0.7257 |   -0.4279 |     1.011 |   -0.6098 |
#> |.....................|   -0.9545 |   -0.2367 |    0.2356 |    0.5456 |
#> |    U|       116.726 |    0.4634 |    0.9895 |     3.461 |    0.6945 |
#> |.....................|   0.04551 |     1.255 |     1.962 |     2.694 |
#> |    X|       116.726 |     1.589 |     2.690 |     31.84 |    0.6945 |
#> |.....................|     1.047 |     1.255 |     1.962 |     2.694 |
#> |    F| Forward Diff. |  -0.02870 |    0.1595 |     1.032 |   0.03261 |
#> |.....................|   0.01310 |    0.2993 |    0.4131 |    0.3464 |
#> |   17|     116.72495 |   -0.7256 |   -0.4286 |     1.009 |   -0.6103 |
#> |.....................|   -0.9546 |   -0.2366 |    0.2341 |    0.5442 |
#> |    U|     116.72495 |    0.4635 |    0.9889 |     3.459 |    0.6944 |
#> |.....................|   0.04540 |     1.255 |     1.960 |     2.691 |
#> |    X|     116.72495 |     1.590 |     2.688 |     31.78 |    0.6944 |
#> |.....................|     1.046 |     1.255 |     1.960 |     2.691 |
#> |    F| Forward Diff. |   0.01431 |   -0.1674 |   -0.7009 |   0.02858 |
#> |.....................|   -0.1371 |  -0.01406 |    0.3322 |    0.2395 |
#> |   18|     116.72404 |   -0.7254 |   -0.4289 |     1.010 |   -0.6110 |
#> |.....................|   -0.9547 |   -0.2360 |    0.2325 |    0.5423 |
#> |    U|     116.72404 |    0.4637 |    0.9886 |     3.460 |    0.6941 |
#> |.....................|   0.04533 |     1.256 |     1.958 |     2.688 |
#> |    X|     116.72404 |     1.590 |     2.687 |     31.82 |    0.6941 |
#> |.....................|     1.046 |     1.256 |     1.958 |     2.688 |
#> |    F| Forward Diff. | -0.007771 |   -0.2005 |    0.4020 |  -0.07016 |
#> |.....................|   -0.1716 |    0.3784 |    0.2054 |    0.1653 |
#> |   19|     116.72395 |   -0.7252 |   -0.4284 |     1.010 |   -0.6107 |
#> |.....................|   -0.9543 |   -0.2386 |    0.2322 |    0.5412 |
#> |    U|     116.72395 |    0.4639 |    0.9890 |     3.460 |    0.6942 |
#> |.....................|   0.04566 |     1.253 |     1.958 |     2.686 |
#> |    X|     116.72395 |     1.590 |     2.689 |     31.81 |    0.6942 |
#> |.....................|     1.047 |     1.253 |     1.958 |     2.686 |
#> |    C| Central Diff. | -0.009444 |  -0.08092 |    0.1143 |  0.002471 |
#> |.....................|   -0.1244 |   -0.2495 |    0.1646 |    0.1098 |
#> |   20|     116.72365 |   -0.7252 |   -0.4281 |     1.009 |   -0.6107 |
#> |.....................|   -0.9539 |   -0.2376 |    0.2315 |    0.5408 |
#> |    U|     116.72365 |    0.4639 |    0.9893 |     3.459 |    0.6942 |
#> |.....................|   0.04614 |     1.254 |     1.957 |     2.685 |
#> |    X|     116.72365 |     1.590 |     2.689 |     31.80 |    0.6942 |
#> |.....................|     1.047 |     1.254 |     1.957 |     2.685 |
#> |    F| Forward Diff. |   0.02096 |    0.1041 |   -0.1935 |  -0.01028 |
#> |.....................|   0.04643 |    0.2440 |    0.1311 |   0.07417 |
#> |   21|     116.72365 |   -0.7252 |   -0.4281 |     1.009 |   -0.6107 |
#> |.....................|   -0.9539 |   -0.2376 |    0.2315 |    0.5408 |
#> |    U|     116.72365 |    0.4639 |    0.9893 |     3.459 |    0.6942 |
#> |.....................|   0.04614 |     1.254 |     1.957 |     2.685 |
#> |    X|     116.72365 |     1.590 |     2.689 |     31.80 |    0.6942 |
#> |.....................|     1.047 |     1.254 |     1.957 |     2.685 |
#> calculating covariance matrix
#> done
#> Calculating residuals/tables
#> done
#> 
#> ── objf value did not improve, exiting the search ... ──────────────────────────
#> 
#> ── forward search complete ──
#> 
#> ── starting backward search... ─────────────────────────────────────────────────
#> ! no covariates added in the forward search, skipping backward search
#> 
#> ── starting forward search... ──────────────────────────────────────────────────
#>  added centered_WT*cov_WT_ka to ka's equation in the model
#>  updated value: ka<-exp(tka+centered_WT*cov_WT_ka+eta.ka)
#> Key: U: Unscaled Parameters; X: Back-transformed parameters; G: Gill difference gradient approximation
#> F: Forward difference gradient approximation
#> C: Central difference gradient approximation
#> M: Mixed forward and central difference gradient approximation
#> Unscaled parameters for Omegas=chol(solve(omega));
#> Diagonals are transformed, as specified by foceiControl(diagXform=)
#> |-----+---------------+-----------+-----------+-----------+-----------|
#> |    #| Objective Fun |       tka |       tcl |        tv |    add.sd |
#> |.....................|centered_WT | cov_WT_ka |        o1 |        o2 |
#> |.....................|        o3 |...........|...........|...........|
#> |    1|     133.57512 |   -0.7391 |   -0.4242 |     1.000 |   -0.5942 |
#> |.....................|   -0.4203 |    -1.000 |   -0.3413 |   -0.2167 |
#> |.....................|   0.03089 |...........|...........|...........|
#> |    U|     133.57512 |    0.4500 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|     1.000 |     0.000 |     1.136 |     1.351 |
#> |.....................|     1.778 |...........|...........|...........|
#> |    X|     133.57512 |     1.568 |     2.700 |     31.50 |    0.7000 |
#> |.....................|     2.718 |     1.000 |     1.136 |     1.351 |
#> |.....................|     1.778 |...........|...........|...........|
#> |    G|    Gill Diff. |   -0.9310 |    -1.614 |    -3.052 |     1.591 |
#> |.....................| -0.001938 |   -0.9310 |    -11.78 |    -35.27 |
#> |.....................|    -34.78 |...........|...........|...........|
#> |    2|     122.56663 |   -0.7209 |   -0.3926 |     1.060 |   -0.6254 |
#> |.....................|   -0.4201 |   -0.9818 |   -0.1106 |    0.4739 |
#> |.....................|    0.7118 |...........|...........|...........|
#> |    U|     122.56663 |    0.4682 |     1.025 |     3.510 |    0.6891 |
#> |.....................|     1.000 |   0.01823 |     1.398 |     2.284 |
#> |.....................|     2.989 |...........|...........|...........|
#> |    X|     122.56663 |     1.597 |     2.787 |     33.44 |    0.6891 |
#> |.....................|     2.719 |     1.018 |     1.398 |     2.284 |
#> |.....................|     2.989 |...........|...........|...........|
#> |    F| Forward Diff. |    0.5883 |     14.89 |     69.34 |    -5.082 |
#> |.....................|   0.01707 |    0.5885 |     14.10 |     16.71 |
#> |.....................|     13.90 |...........|...........|...........|
#> |    3|     690.01754 |   -0.7198 |   -0.5879 |    0.1045 |   -0.5693 |
#> |.....................|   -0.4204 |   -0.9806 |   -0.1910 |    0.5963 |
#> |.....................|    0.8691 |...........|...........|...........|
#> |    U|     690.01754 |    0.4694 |    0.8295 |     2.554 |    0.7087 |
#> |.....................|    0.9999 |   0.01936 |     1.307 |     2.450 |
#> |.....................|     3.269 |...........|...........|...........|
#> |    X|     690.01754 |     1.599 |     2.292 |     12.86 |    0.7087 |
#> |.....................|     2.718 |     1.020 |     1.307 |     2.450 |
#> |.....................|     3.269 |...........|...........|...........|
#> |    4|     121.05724 |   -0.7217 |   -0.4123 |    0.9681 |   -0.6186 |
#> |.....................|   -0.4202 |   -0.9826 |   -0.1293 |    0.4518 |
#> |.....................|    0.6935 |...........|...........|...........|
#> |    U|     121.05724 |    0.4674 |     1.005 |     3.418 |    0.6914 |
#> |.....................|     1.000 |   0.01745 |     1.377 |     2.254 |
#> |.....................|     2.957 |...........|...........|...........|
#> |    X|     121.05724 |     1.596 |     2.732 |     30.51 |    0.6914 |
#> |.....................|     2.719 |     1.018 |     1.377 |     2.254 |
#> |.....................|     2.957 |...........|...........|...........|
#> |    F| Forward Diff. |     3.837 |    -6.944 |    -53.83 |    -3.090 |
#> |.....................|   0.06934 |     3.838 |     13.37 |     15.43 |
#> |.....................|     9.539 |...........|...........|...........|
#> |    5|     118.41302 |   -0.7303 |   -0.4110 |     1.020 |   -0.6076 |
#> |.....................|   -0.4203 |   -0.9912 |   -0.1722 |    0.3939 |
#> |.....................|    0.6500 |...........|...........|...........|
#> |    U|     118.41302 |    0.4588 |     1.007 |     3.470 |    0.6953 |
#> |.....................|     1.000 |  0.008841 |     1.328 |     2.176 |
#> |.....................|     2.879 |...........|...........|...........|
#> |    X|     118.41302 |     1.582 |     2.736 |     32.12 |    0.6953 |
#> |.....................|     2.718 |     1.009 |     1.328 |     2.176 |
#> |.....................|     2.879 |...........|...........|...........|
#> |    F| Forward Diff. |    0.2193 |   -0.3076 |     11.77 |    -1.219 |
#> |.....................|-0.0007891 |    0.2195 |     7.249 |     11.25 |
#> |.....................|     6.750 |...........|...........|...........|
#> |    6|     117.95957 |   -0.7313 |   -0.4033 |    0.9747 |   -0.6024 |
#> |.....................|   -0.4203 |   -0.9922 |   -0.2116 |    0.3262 |
#> |.....................|    0.6080 |...........|...........|...........|
#> |    U|     117.95957 |    0.4578 |     1.014 |     3.425 |    0.6971 |
#> |.....................|     1.000 |  0.007833 |     1.284 |     2.085 |
#> |.....................|     2.805 |...........|...........|...........|
#> |    X|     117.95957 |     1.581 |     2.757 |     30.71 |    0.6971 |
#> |.....................|     2.718 |     1.008 |     1.284 |     2.085 |
#> |.....................|     2.805 |...........|...........|...........|
#> |    F| Forward Diff. |     1.235 |    -1.853 |    -37.21 |    0.1988 |
#> |.....................|   0.01043 |     1.235 |     3.123 |     7.245 |
#> |.....................|     4.285 |...........|...........|...........|
#> |    7|     117.01527 |   -0.7254 |   -0.4049 |     1.027 |   -0.6142 |
#> |.....................|   -0.4200 |   -0.9862 |   -0.2186 |    0.2552 |
#> |.....................|    0.5634 |...........|...........|...........|
#> |    U|     117.01527 |    0.4638 |     1.013 |     3.477 |    0.6930 |
#> |.....................|     1.000 |   0.01375 |     1.276 |     1.989 |
#> |.....................|     2.725 |...........|...........|...........|
#> |    X|     117.01527 |     1.590 |     2.753 |     32.36 |    0.6930 |
#> |.....................|     2.719 |     1.014 |     1.276 |     1.989 |
#> |.....................|     2.725 |...........|...........|...........|
#> |    F| Forward Diff. |    0.4612 |     1.530 |     17.00 |   -0.8240 |
#> |.....................|  0.009037 |    0.4613 |     2.046 |     2.040 |
#> |.....................|     1.907 |...........|...........|...........|
#> |    8|     117.25439 |   -0.7495 |   -0.4529 |     1.005 |   -0.6159 |
#> |.....................|   -0.4203 |    -1.010 |   -0.2219 |    0.2056 |
#> |.....................|    0.5036 |...........|...........|...........|
#> |    U|     117.25439 |    0.4396 |    0.9646 |     3.455 |    0.6924 |
#> |.....................|     1.000 |  -0.01039 |     1.272 |     1.922 |
#> |.....................|     2.619 |...........|...........|...........|
#> |    X|     117.25439 |     1.552 |     2.624 |     31.67 |    0.6924 |
#> |.....................|     2.718 |    0.9897 |     1.272 |     1.922 |
#> |.....................|     2.619 |...........|...........|...........|
#> |    9|     116.86499 |   -0.7327 |   -0.4199 |     1.006 |   -0.6140 |
#> |.....................|   -0.4201 |   -0.9935 |   -0.2213 |    0.2393 |
#> |.....................|    0.5447 |...........|...........|...........|
#> |    U|     116.86499 |    0.4565 |    0.9976 |     3.456 |    0.6931 |
#> |.....................|     1.000 |  0.006478 |     1.273 |     1.967 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    X|     116.86499 |     1.579 |     2.712 |     31.69 |    0.6931 |
#> |.....................|     2.719 |     1.006 |     1.273 |     1.967 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    F| Forward Diff. |   0.01173 |    -4.519 |    -4.436 |   -0.4241 |
#> |.....................|  0.002109 |   0.01176 |     1.833 |    0.9175 |
#> |.....................|    0.1786 |...........|...........|...........|
#> |   10|     116.86782 |   -0.7345 |   -0.3853 |     1.007 |   -0.6104 |
#> |.....................|   -0.4202 |   -0.9954 |   -0.2332 |    0.2360 |
#> |.....................|    0.5422 |...........|...........|...........|
#> |    U|     116.86782 |    0.4546 |     1.032 |     3.457 |    0.6943 |
#> |.....................|     1.000 |  0.004634 |     1.259 |     1.963 |
#> |.....................|     2.688 |...........|...........|...........|
#> |    X|     116.86782 |     1.576 |     2.807 |     31.71 |    0.6943 |
#> |.....................|     2.719 |     1.005 |     1.259 |     1.963 |
#> |.....................|     2.688 |...........|...........|...........|
#> |   11|     116.81520 |   -0.7332 |   -0.4038 |     1.012 |   -0.6124 |
#> |.....................|   -0.4201 |   -0.9941 |   -0.2272 |    0.2372 |
#> |.....................|    0.5438 |...........|...........|...........|
#> |    U|      116.8152 |    0.4559 |     1.014 |     3.462 |    0.6936 |
#> |.....................|     1.000 |  0.005913 |     1.266 |     1.964 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|      116.8152 |     1.578 |     2.756 |     31.88 |    0.6936 |
#> |.....................|     2.719 |     1.006 |     1.266 |     1.964 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    F| Forward Diff. |   -0.1208 |    0.6475 |     2.176 |   -0.4241 |
#> |.....................| -0.002311 |   -0.1208 |     1.132 |    0.7265 |
#> |.....................|    0.2261 |...........|...........|...........|
#> |   12|     116.82949 |   -0.7297 |   -0.4041 |     1.003 |   -0.6069 |
#> |.....................|   -0.4201 |   -0.9905 |   -0.2406 |    0.2349 |
#> |.....................|    0.5478 |...........|...........|...........|
#> |    U|     116.82949 |    0.4595 |     1.013 |     3.453 |    0.6956 |
#> |.....................|     1.000 |  0.009473 |     1.251 |     1.961 |
#> |.....................|     2.697 |...........|...........|...........|
#> |    X|     116.82949 |     1.583 |     2.755 |     31.60 |    0.6956 |
#> |.....................|     2.719 |     1.010 |     1.251 |     1.961 |
#> |.....................|     2.697 |...........|...........|...........|
#> |   13|     116.81371 |   -0.7329 |   -0.4054 |     1.006 |   -0.6114 |
#> |.....................|   -0.4201 |   -0.9938 |   -0.2300 |    0.2354 |
#> |.....................|    0.5432 |...........|...........|...........|
#> |    U|     116.81371 |    0.4562 |     1.012 |     3.456 |    0.6940 |
#> |.....................|     1.000 |  0.006211 |     1.263 |     1.962 |
#> |.....................|     2.689 |...........|...........|...........|
#> |    X|     116.81371 |     1.578 |     2.751 |     31.70 |    0.6940 |
#> |.....................|     2.719 |     1.006 |     1.263 |     1.962 |
#> |.....................|     2.689 |...........|...........|...........|
#> |    F| Forward Diff. |   0.02145 |   -0.1768 |    -3.058 |   -0.3040 |
#> |.....................| -0.001671 |   0.02153 |    0.8004 |    0.6029 |
#> |.....................|   0.05288 |...........|...........|...........|
#> |   14|     116.80660 |   -0.7322 |   -0.4068 |     1.011 |   -0.6095 |
#> |.....................|   -0.4201 |   -0.9930 |   -0.2339 |    0.2343 |
#> |.....................|    0.5446 |...........|...........|...........|
#> |    U|      116.8066 |    0.4570 |     1.011 |     3.461 |    0.6947 |
#> |.....................|     1.000 |  0.006954 |     1.258 |     1.961 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    X|      116.8066 |     1.579 |     2.747 |     31.84 |    0.6947 |
#> |.....................|     2.719 |     1.007 |     1.258 |     1.961 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.01093 |   -0.3104 |     1.002 |  -0.06813 |
#> |.....................| -0.001589 |  -0.01078 |  -0.05248 |    0.5435 |
#> |.....................|    0.2242 |...........|...........|...........|
#> |   15|     116.80565 |   -0.7313 |   -0.4052 |     1.010 |   -0.6079 |
#> |.....................|   -0.4200 |   -0.9922 |   -0.2311 |    0.2290 |
#> |.....................|    0.5449 |...........|...........|...........|
#> |    U|     116.80565 |    0.4579 |     1.012 |     3.460 |    0.6952 |
#> |.....................|     1.000 |  0.007846 |     1.261 |     1.953 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    X|     116.80565 |     1.581 |     2.752 |     31.80 |    0.6952 |
#> |.....................|     2.719 |     1.008 |     1.261 |     1.953 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    F| Forward Diff. |    0.1391 |   0.07373 |   -0.1581 |    0.1321 |
#> |.....................|  0.002361 |    0.1391 |    0.6135 |    0.2208 |
#> |.....................|    0.1250 |...........|...........|...........|
#> |   16|     116.80376 |   -0.7328 |   -0.4058 |     1.010 |   -0.6099 |
#> |.....................|   -0.4201 |   -0.9936 |   -0.2364 |    0.2264 |
#> |.....................|    0.5442 |...........|...........|...........|
#> |    U|     116.80376 |    0.4564 |     1.012 |     3.460 |    0.6945 |
#> |.....................|     1.000 |  0.006367 |     1.255 |     1.950 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    X|     116.80376 |     1.578 |     2.750 |     31.83 |    0.6945 |
#> |.....................|     2.719 |     1.006 |     1.255 |     1.950 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.06478 |  -0.07166 |    0.6997 |  -0.09342 |
#> |.....................| -0.001903 |  -0.06475 |  -0.03712 |  0.005775 |
#> |.....................|   0.09210 |...........|...........|...........|
#> |   17|     116.81449 |   -0.7316 |   -0.4055 |     1.005 |   -0.6086 |
#> |.....................|   -0.4200 |   -0.9925 |   -0.2394 |    0.2273 |
#> |.....................|    0.5426 |...........|...........|...........|
#> |    U|     116.81449 |    0.4575 |     1.012 |     3.455 |    0.6950 |
#> |.....................|     1.000 |  0.007498 |     1.252 |     1.951 |
#> |.....................|     2.688 |...........|...........|...........|
#> |    X|     116.81449 |     1.580 |     2.751 |     31.66 |    0.6950 |
#> |.....................|     2.719 |     1.008 |     1.252 |     1.951 |
#> |.....................|     2.688 |...........|...........|...........|
#> |   18|     116.80356 |   -0.7327 |   -0.4057 |     1.009 |   -0.6098 |
#> |.....................|   -0.4201 |   -0.9936 |   -0.2364 |    0.2264 |
#> |.....................|    0.5441 |...........|...........|...........|
#> |    U|     116.80356 |    0.4565 |     1.012 |     3.459 |    0.6946 |
#> |.....................|     1.000 |  0.006447 |     1.255 |     1.950 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    X|     116.80356 |     1.578 |     2.750 |     31.80 |    0.6946 |
#> |.....................|     2.719 |     1.006 |     1.255 |     1.950 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.03566 |  -0.09869 |   -0.1316 |  -0.02313 |
#> |.....................| -0.001623 |  -0.03572 |  -0.02324 |   0.01337 |
#> |.....................|   0.06508 |...........|...........|...........|
#> |   19|     116.80346 |   -0.7324 |   -0.4054 |     1.010 |   -0.6097 |
#> |.....................|   -0.4200 |   -0.9933 |   -0.2364 |    0.2266 |
#> |.....................|    0.5435 |...........|...........|...........|
#> |    U|     116.80346 |    0.4567 |     1.012 |     3.460 |    0.6946 |
#> |.....................|     1.000 |  0.006727 |     1.255 |     1.950 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80346 |     1.579 |     2.751 |     31.81 |    0.6946 |
#> |.....................|     2.719 |     1.007 |     1.255 |     1.950 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    C| Central Diff. |  -0.02335 |  -0.01419 |   0.08010 |    0.1344 |
#> |.....................|   0.03695 |  -0.02340 |   -0.1781 |   0.03927 |
#> |.....................|   0.05723 |...........|...........|...........|
#> |   20|     116.80346 |   -0.7324 |   -0.4054 |     1.010 |   -0.6097 |
#> |.....................|   -0.4200 |   -0.9933 |   -0.2364 |    0.2266 |
#> |.....................|    0.5435 |...........|...........|...........|
#> |    U|     116.80346 |    0.4567 |     1.012 |     3.460 |    0.6946 |
#> |.....................|     1.000 |  0.006727 |     1.255 |     1.950 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80346 |     1.579 |     2.751 |     31.81 |    0.6946 |
#> |.....................|     2.719 |     1.007 |     1.255 |     1.950 |
#> |.....................|     2.690 |...........|...........|...........|
#> calculating covariance matrix
#> done
#> Calculating residuals/tables
#> done
#>  added centered_WT*cov_WT_cl to cl's equation in the model
#>  updated value: cl<-exp(tcl+centered_WT*cov_WT_cl+eta.cl)
#> Key: U: Unscaled Parameters; X: Back-transformed parameters; G: Gill difference gradient approximation
#> F: Forward difference gradient approximation
#> C: Central difference gradient approximation
#> M: Mixed forward and central difference gradient approximation
#> Unscaled parameters for Omegas=chol(solve(omega));
#> Diagonals are transformed, as specified by foceiControl(diagXform=)
#> |-----+---------------+-----------+-----------+-----------+-----------|
#> |    #| Objective Fun |       tka |       tcl |        tv |    add.sd |
#> |.....................|centered_WT | cov_WT_cl |        o1 |        o2 |
#> |.....................|        o3 |...........|...........|...........|
#> |    1|     133.57512 |   -0.7391 |   -0.4242 |     1.000 |   -0.5942 |
#> |.....................|   -0.4203 |    -1.000 |   -0.3413 |   -0.2167 |
#> |.....................|   0.03089 |...........|...........|...........|
#> |    U|     133.57512 |    0.4500 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|     1.000 |     0.000 |     1.136 |     1.351 |
#> |.....................|     1.778 |...........|...........|...........|
#> |    X|     133.57512 |     1.568 |     2.700 |     31.50 |    0.7000 |
#> |.....................|     2.718 |     1.000 |     1.136 |     1.351 |
#> |.....................|     1.778 |...........|...........|...........|
#> |    G|    Gill Diff. |   -0.9310 |    -1.614 |    -3.052 |     1.589 |
#> |.....................| -0.001457 |    -1.614 |    -11.78 |    -35.27 |
#> |.....................|    -34.78 |...........|...........|...........|
#> |    2|     123.26516 |   -0.7209 |   -0.3926 |     1.060 |   -0.6253 |
#> |.....................|   -0.4201 |   -0.9684 |   -0.1107 |    0.4736 |
#> |.....................|    0.7116 |...........|...........|...........|
#> |    U|     123.26516 |    0.4682 |     1.025 |     3.510 |    0.6891 |
#> |.....................|     1.000 |   0.03159 |     1.398 |     2.284 |
#> |.....................|     2.989 |...........|...........|...........|
#> |    X|     123.26516 |     1.597 |     2.787 |     33.44 |    0.6891 |
#> |.....................|     2.719 |     1.032 |     1.398 |     2.284 |
#> |.....................|     2.989 |...........|...........|...........|
#> |    F| Forward Diff. |   -0.5868 |     30.11 |     74.23 |    -5.071 |
#> |.....................|    0.5706 |     29.86 |     14.13 |     18.23 |
#> |.....................|     14.14 |...........|...........|...........|
#> |    3|     859.85007 |   -0.7037 |   -0.7267 |    0.2257 |   -0.5836 |
#> |.....................|   -0.4268 |    -1.300 |   -0.1453 |    0.6512 |
#> |.....................|    0.9315 |...........|...........|...........|
#> |    U|     859.85007 |    0.4854 |    0.6908 |     2.676 |    0.7037 |
#> |.....................|    0.9935 |   -0.2996 |     1.359 |     2.524 |
#> |.....................|     3.380 |...........|...........|...........|
#> |    X|     859.85007 |     1.625 |     1.995 |     14.52 |    0.7037 |
#> |.....................|     2.701 |    0.7411 |     1.359 |     2.524 |
#> |.....................|     3.380 |...........|...........|...........|
#> |    4|     120.81610 |   -0.7203 |   -0.4261 |    0.9771 |   -0.6196 |
#> |.....................|   -0.4208 |    -1.002 |   -0.1264 |    0.4533 |
#> |.....................|    0.6959 |...........|...........|...........|
#> |    U|      120.8161 |    0.4689 |    0.9913 |     3.427 |    0.6911 |
#> |.....................|    0.9995 | -0.001655 |     1.380 |     2.257 |
#> |.....................|     2.961 |...........|...........|...........|
#> |    X|      120.8161 |     1.598 |     2.695 |     30.79 |    0.6911 |
#> |.....................|     2.717 |    0.9983 |     1.380 |     2.257 |
#> |.....................|     2.961 |...........|...........|...........|
#> |    F| Forward Diff. |     2.099 |    -13.28 |    -43.93 |    -3.395 |
#> |.....................|   -0.1107 |    -13.26 |     13.28 |     15.66 |
#> |.....................|     9.277 |...........|...........|...........|
#> |    5|     118.45977 |   -0.7247 |   -0.4172 |     1.022 |   -0.6089 |
#> |.....................|   -0.4209 |   -0.9926 |   -0.1681 |    0.3917 |
#> |.....................|    0.6499 |...........|...........|...........|
#> |    U|     118.45977 |    0.4644 |     1.000 |     3.472 |    0.6948 |
#> |.....................|    0.9994 |  0.007380 |     1.333 |     2.173 |
#> |.....................|     2.879 |...........|...........|...........|
#> |    X|     118.45977 |     1.591 |     2.719 |     32.22 |    0.6948 |
#> |.....................|     2.717 |     1.007 |     1.333 |     2.173 |
#> |.....................|     2.879 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.07409 |    0.4343 |     15.45 |    -1.363 |
#> |.....................|    -1.321 |    0.4540 |     7.766 |     11.18 |
#> |.....................|     6.887 |...........|...........|...........|
#> |    6|     118.07299 |   -0.7248 |   -0.4061 |    0.9729 |   -0.6038 |
#> |.....................|   -0.4136 |   -0.9817 |   -0.2060 |    0.3287 |
#> |.....................|    0.6073 |...........|...........|...........|
#> |    U|     118.07299 |    0.4643 |     1.011 |     3.423 |    0.6966 |
#> |.....................|     1.007 |   0.01828 |     1.290 |     2.088 |
#> |.....................|     2.803 |...........|...........|...........|
#> |    X|     118.07299 |     1.591 |     2.749 |     30.66 |    0.6966 |
#> |.....................|     2.737 |     1.018 |     1.290 |     2.088 |
#> |.....................|     2.803 |...........|...........|...........|
#> |    F| Forward Diff. |     1.344 |     3.736 |    -37.78 |  -0.04684 |
#> |.....................|   0.06989 |     3.762 |     3.849 |     7.447 |
#> |.....................|     4.174 |...........|...........|...........|
#> |    7|     117.26519 |   -0.7264 |   -0.4374 |     1.022 |   -0.6094 |
#> |.....................|   -0.4061 |    -1.014 |   -0.2254 |    0.2693 |
#> |.....................|    0.5676 |...........|...........|...........|
#> |    U|     117.26519 |    0.4628 |    0.9800 |     3.472 |    0.6947 |
#> |.....................|     1.014 |  -0.01353 |     1.268 |     2.008 |
#> |.....................|     2.733 |...........|...........|...........|
#> |    X|     117.26519 |     1.588 |     2.664 |     32.21 |    0.6947 |
#> |.....................|     2.757 |    0.9866 |     1.268 |     2.008 |
#> |.....................|     2.733 |...........|...........|...........|
#> |    F| Forward Diff. |   -0.5664 |    -13.66 |     9.555 |   -0.2750 |
#> |.....................|   -0.9035 |    -13.85 |     1.175 |     3.410 |
#> |.....................|     2.098 |...........|...........|...........|
#> |    8|     118.05686 |   -0.7225 |   -0.3748 |     1.025 |   -0.6188 |
#> |.....................|   -0.3985 |   -0.9492 |   -0.2153 |    0.2362 |
#> |.....................|    0.5439 |...........|...........|...........|
#> |    U|     118.05686 |    0.4666 |     1.043 |     3.475 |    0.6914 |
#> |.....................|     1.022 |   0.05084 |     1.279 |     1.963 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    X|     118.05686 |     1.595 |     2.837 |     32.31 |    0.6914 |
#> |.....................|     2.778 |     1.052 |     1.279 |     1.963 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    9|     116.87529 |   -0.7255 |   -0.4157 |     1.007 |   -0.6090 |
#> |.....................|   -0.4046 |   -0.9915 |   -0.2273 |    0.2638 |
#> |.....................|    0.5643 |...........|...........|...........|
#> |    U|     116.87529 |    0.4637 |     1.002 |     3.457 |    0.6948 |
#> |.....................|     1.016 |  0.008506 |     1.266 |     2.000 |
#> |.....................|     2.727 |...........|...........|...........|
#> |    X|     116.87529 |     1.590 |     2.723 |     31.72 |    0.6948 |
#> |.....................|     2.761 |     1.009 |     1.266 |     2.000 |
#> |.....................|     2.727 |...........|...........|...........|
#> |    F| Forward Diff. |   0.09718 |   -0.5758 |    -2.570 |   -0.1384 |
#> |.....................|    -1.067 |   -0.5840 |     1.029 |     2.643 |
#> |.....................|     1.329 |...........|...........|...........|
#> |   10|     117.00331 |   -0.7263 |   -0.4110 |     1.028 |   -0.6079 |
#> |.....................|   -0.3959 |   -0.9867 |   -0.2358 |    0.2421 |
#> |.....................|    0.5533 |...........|...........|...........|
#> |    U|     117.00331 |    0.4629 |     1.006 |     3.478 |    0.6952 |
#> |.....................|     1.024 |   0.01331 |     1.256 |     1.971 |
#> |.....................|     2.707 |...........|...........|...........|
#> |    X|     117.00331 |     1.589 |     2.736 |     32.40 |    0.6952 |
#> |.....................|     2.785 |     1.013 |     1.256 |     1.971 |
#> |.....................|     2.707 |...........|...........|...........|
#> |   11|     116.85677 |   -0.7257 |   -0.4144 |     1.013 |   -0.6087 |
#> |.....................|   -0.4023 |   -0.9902 |   -0.2296 |    0.2580 |
#> |.....................|    0.5613 |...........|...........|...........|
#> |    U|     116.85677 |    0.4634 |     1.003 |     3.463 |    0.6949 |
#> |.....................|     1.018 |  0.009803 |     1.263 |     1.993 |
#> |.....................|     2.722 |...........|...........|...........|
#> |    X|     116.85677 |     1.590 |     2.726 |     31.90 |    0.6949 |
#> |.....................|     2.768 |     1.010 |     1.263 |     1.993 |
#> |.....................|     2.722 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.04765 |    0.6256 |     3.274 |  -0.04788 |
#> |.....................|    -1.060 |    0.6378 |    0.7205 |     2.183 |
#> |.....................|     1.251 |...........|...........|...........|
#> |   12|     116.84445 |   -0.7256 |   -0.4158 |     1.006 |   -0.6086 |
#> |.....................|   -0.3997 |   -0.9916 |   -0.2310 |    0.2530 |
#> |.....................|    0.5585 |...........|...........|...........|
#> |    U|     116.84445 |    0.4635 |     1.002 |     3.456 |    0.6949 |
#> |.....................|     1.021 |  0.008432 |     1.262 |     1.986 |
#> |.....................|     2.716 |...........|...........|...........|
#> |    X|     116.84445 |     1.590 |     2.723 |     31.69 |    0.6949 |
#> |.....................|     2.775 |     1.008 |     1.262 |     1.986 |
#> |.....................|     2.716 |...........|...........|...........|
#> |    F| Forward Diff. |   0.09730 |   -0.6994 |    -3.538 |  -0.03650 |
#> |.....................|    -1.064 |   -0.7129 |    0.6224 |     1.894 |
#> |.....................|    0.9409 |...........|...........|...........|
#> |   13|     116.82752 |   -0.7257 |   -0.4150 |     1.012 |   -0.6089 |
#> |.....................|   -0.3958 |   -0.9907 |   -0.2318 |    0.2475 |
#> |.....................|    0.5555 |...........|...........|...........|
#> |    U|     116.82752 |    0.4634 |     1.002 |     3.462 |    0.6948 |
#> |.....................|     1.024 |  0.009266 |     1.261 |     1.978 |
#> |.....................|     2.711 |...........|...........|...........|
#> |    X|     116.82752 |     1.589 |     2.725 |     31.88 |    0.6948 |
#> |.....................|     2.786 |     1.009 |     1.261 |     1.978 |
#> |.....................|     2.711 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.04193 |    0.2040 |     2.262 |   -0.1521 |
#> |.....................|    -1.050 |    0.2102 |    0.4967 |     1.488 |
#> |.....................|    0.8587 |...........|...........|...........|
#> |   14|     116.81980 |   -0.7256 |   -0.4157 |     1.007 |   -0.6086 |
#> |.....................|   -0.3905 |   -0.9915 |   -0.2326 |    0.2422 |
#> |.....................|    0.5525 |...........|...........|...........|
#> |    U|      116.8198 |    0.4635 |     1.002 |     3.457 |    0.6950 |
#> |.....................|     1.030 |  0.008500 |     1.260 |     1.971 |
#> |.....................|     2.706 |...........|...........|...........|
#> |    X|      116.8198 |     1.590 |     2.723 |     31.72 |    0.6950 |
#> |.....................|     2.800 |     1.009 |     1.260 |     1.971 |
#> |.....................|     2.706 |...........|...........|...........|
#> |    F| Forward Diff. |   0.06676 |   -0.5802 |    -2.545 |   0.01398 |
#> |.....................|    -1.040 |   -0.5962 |   0.01321 |     1.186 |
#> |.....................|    0.5819 |...........|...........|...........|
#> |   15|     116.81249 |   -0.7257 |   -0.4151 |     1.011 |   -0.6086 |
#> |.....................|   -0.3839 |   -0.9908 |   -0.2308 |    0.2379 |
#> |.....................|    0.5500 |...........|...........|...........|
#> |    U|     116.81249 |    0.4634 |     1.002 |     3.461 |    0.6950 |
#> |.....................|     1.036 |  0.009190 |     1.262 |     1.965 |
#> |.....................|     2.701 |...........|...........|...........|
#> |    X|     116.81249 |     1.590 |     2.725 |     31.86 |    0.6950 |
#> |.....................|     2.819 |     1.009 |     1.262 |     1.965 |
#> |.....................|     2.701 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.02431 |    0.1156 |     1.592 |   0.04944 |
#> |.....................|    -1.010 |    0.1201 |    0.6380 |    0.8200 |
#> |.....................|    0.4831 |...........|...........|...........|
#> |   16|     116.80960 |   -0.7257 |   -0.4154 |     1.008 |   -0.6098 |
#> |.....................|   -0.3758 |   -0.9912 |   -0.2330 |    0.2357 |
#> |.....................|    0.5487 |...........|...........|...........|
#> |    U|      116.8096 |    0.4634 |     1.002 |     3.458 |    0.6946 |
#> |.....................|     1.045 |  0.008808 |     1.259 |     1.962 |
#> |.....................|     2.699 |...........|...........|...........|
#> |    X|      116.8096 |     1.590 |     2.724 |     31.75 |    0.6946 |
#> |.....................|     2.842 |     1.009 |     1.259 |     1.962 |
#> |.....................|     2.699 |...........|...........|...........|
#> |    F| Forward Diff. |   0.03766 |   -0.3156 |    -1.557 |   0.01295 |
#> |.....................|   -0.9931 |   -0.3284 |    0.4427 |    0.6703 |
#> |.....................|    0.3523 |...........|...........|...........|
#> |   17|     116.80820 |   -0.7258 |   -0.4149 |     1.011 |   -0.6104 |
#> |.....................|   -0.3679 |   -0.9906 |   -0.2371 |    0.2351 |
#> |.....................|    0.5484 |...........|...........|...........|
#> |    U|      116.8082 |    0.4634 |     1.003 |     3.461 |    0.6943 |
#> |.....................|     1.052 |  0.009444 |     1.255 |     1.962 |
#> |.....................|     2.698 |...........|...........|...........|
#> |    X|      116.8082 |     1.589 |     2.725 |     31.85 |    0.6943 |
#> |.....................|     2.865 |     1.009 |     1.255 |     1.962 |
#> |.....................|     2.698 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.04468 |    0.2690 |     1.586 |  -0.07671 |
#> |.....................|   -0.9719 |    0.2856 |  -0.09668 |    0.6631 |
#> |.....................|    0.4284 |...........|...........|...........|
#> |   18|     116.80691 |   -0.7255 |   -0.4153 |     1.008 |   -0.6096 |
#> |.....................|   -0.3590 |   -0.9911 |   -0.2364 |    0.2342 |
#> |.....................|    0.5472 |...........|...........|...........|
#> |    U|     116.80691 |    0.4636 |     1.002 |     3.458 |    0.6946 |
#> |.....................|     1.061 |  0.008942 |     1.255 |     1.960 |
#> |.....................|     2.696 |...........|...........|...........|
#> |    X|     116.80691 |     1.590 |     2.724 |     31.77 |    0.6946 |
#> |.....................|     2.890 |     1.009 |     1.255 |     1.960 |
#> |.....................|     2.696 |...........|...........|...........|
#> |    F| Forward Diff. |   0.02779 |   -0.1677 |    -1.124 | -0.002516 |
#> |.....................|   -0.9417 |   -0.1689 |-0.0008595 |    0.5422 |
#> |.....................|    0.2791 |...........|...........|...........|
#> |   19|     116.80628 |   -0.7255 |   -0.4148 |     1.011 |   -0.6090 |
#> |.....................|   -0.3504 |   -0.9906 |   -0.2343 |    0.2327 |
#> |.....................|    0.5460 |...........|...........|...........|
#> |    U|     116.80628 |    0.4636 |     1.003 |     3.461 |    0.6948 |
#> |.....................|     1.070 |  0.009366 |     1.258 |     1.958 |
#> |.....................|     2.694 |...........|...........|...........|
#> |    X|     116.80628 |     1.590 |     2.726 |     31.85 |    0.6948 |
#> |.....................|     2.915 |     1.009 |     1.258 |     1.958 |
#> |.....................|     2.694 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.02227 |    0.3104 |     1.408 |  -0.07037 |
#> |.....................|   -0.9140 |    0.3418 |    0.2318 |    0.4631 |
#> |.....................|    0.2483 |...........|...........|...........|
#> |   20|     116.80562 |   -0.7255 |   -0.4152 |     1.009 |   -0.6085 |
#> |.....................|   -0.3464 |   -0.9912 |   -0.2348 |    0.2322 |
#> |.....................|    0.5459 |...........|...........|...........|
#> |    U|     116.80562 |    0.4636 |     1.002 |     3.459 |    0.6950 |
#> |.....................|     1.074 |  0.008778 |     1.257 |     1.958 |
#> |.....................|     2.694 |...........|...........|...........|
#> |    X|     116.80562 |     1.590 |     2.724 |     31.77 |    0.6950 |
#> |.....................|     2.927 |     1.009 |     1.257 |     1.958 |
#> |.....................|     2.694 |...........|...........|...........|
#> |    F| Forward Diff. |   0.02645 |   -0.1435 |   -0.9284 |   0.06898 |
#> |.....................|   -0.9008 |   -0.1445 |    0.2245 |    0.4178 |
#> |.....................|    0.2078 |...........|...........|...........|
#> |   21|     116.80523 |   -0.7256 |   -0.4148 |     1.011 |   -0.6086 |
#> |.....................|   -0.3424 |   -0.9909 |   -0.2356 |    0.2314 |
#> |.....................|    0.5457 |...........|...........|...........|
#> |    U|     116.80523 |    0.4635 |     1.003 |     3.461 |    0.6950 |
#> |.....................|     1.078 |  0.009104 |     1.256 |     1.957 |
#> |.....................|     2.694 |...........|...........|...........|
#> |    X|     116.80523 |     1.590 |     2.726 |     31.84 |    0.6950 |
#> |.....................|     2.939 |     1.009 |     1.256 |     1.957 |
#> |.....................|     2.694 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.02893 |    0.2145 |     1.146 |   0.01324 |
#> |.....................|   -0.9001 |    0.2420 |   0.06451 |    0.3671 |
#> |.....................|    0.2252 |...........|...........|...........|
#> |   22|     116.80465 |   -0.7256 |   -0.4151 |     1.009 |   -0.6086 |
#> |.....................|   -0.3410 |   -0.9913 |   -0.2357 |    0.2309 |
#> |.....................|    0.5453 |...........|...........|...........|
#> |    U|     116.80465 |    0.4635 |     1.002 |     3.459 |    0.6950 |
#> |.....................|     1.079 |  0.008735 |     1.256 |     1.956 |
#> |.....................|     2.693 |...........|...........|...........|
#> |    X|     116.80465 |     1.590 |     2.725 |     31.79 |    0.6950 |
#> |.....................|     2.943 |     1.009 |     1.256 |     1.956 |
#> |.....................|     2.693 |...........|...........|...........|
#> |    F| Forward Diff. |   0.01212 |   -0.1039 |   -0.5735 |   0.06024 |
#> |.....................|   -0.8870 |   -0.1020 |   0.05391 |    0.3428 |
#> |.....................|    0.1724 |...........|...........|...........|
#> |   23|     116.80425 |   -0.7256 |   -0.4149 |     1.010 |   -0.6088 |
#> |.....................|   -0.3391 |   -0.9911 |   -0.2359 |    0.2302 |
#> |.....................|    0.5450 |...........|...........|...........|
#> |    U|     116.80425 |    0.4635 |     1.003 |     3.460 |    0.6949 |
#> |.....................|     1.081 |  0.008948 |     1.256 |     1.955 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    X|     116.80425 |     1.590 |     2.725 |     31.82 |    0.6949 |
#> |.....................|     2.948 |     1.009 |     1.256 |     1.955 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    F| Forward Diff. |  -0.01639 |    0.1037 |    0.5987 |   0.02830 |
#> |.....................|   -0.8864 |    0.1225 |   0.04883 |    0.2777 |
#> |.....................|    0.1680 |...........|...........|...........|
#> |   24|     116.80424 |   -0.7256 |   -0.4151 |     1.009 |   -0.6088 |
#> |.....................|   -0.3373 |   -0.9913 |   -0.2360 |    0.2296 |
#> |.....................|    0.5446 |...........|...........|...........|
#> |    U|     116.80424 |    0.4635 |     1.002 |     3.459 |    0.6949 |
#> |.....................|     1.083 |  0.008691 |     1.256 |     1.954 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    X|     116.80424 |     1.590 |     2.725 |     31.78 |    0.6949 |
#> |.....................|     2.954 |     1.009 |     1.256 |     1.954 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    C| Central Diff. |-0.0001167 |   -0.1557 |   -0.7359 |   0.05313 |
#> |.....................|    0.4682 |   -0.1686 |   -0.1753 |    0.2650 |
#> |.....................|    0.1198 |...........|...........|...........|
#> |   25|     116.80386 |   -0.7256 |   -0.4149 |     1.010 |   -0.6089 |
#> |.....................|   -0.3379 |   -0.9911 |   -0.2357 |    0.2293 |
#> |.....................|    0.5445 |...........|...........|...........|
#> |    U|     116.80386 |    0.4635 |     1.003 |     3.460 |    0.6949 |
#> |.....................|     1.082 |  0.008898 |     1.256 |     1.954 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    X|     116.80386 |     1.590 |     2.725 |     31.81 |    0.6949 |
#> |.....................|     2.952 |     1.009 |     1.256 |     1.954 |
#> |.....................|     2.692 |...........|...........|...........|
#> |    F| Forward Diff. | -0.005283 |   0.06096 |    0.2574 |   0.03751 |
#> |.....................|   -0.8770 |   0.07625 |   0.05273 |    0.2261 |
#> |.....................|    0.1359 |...........|...........|...........|
#> |   26|     116.80382 |   -0.7255 |   -0.4149 |     1.010 |   -0.6093 |
#> |.....................|   -0.3369 |   -0.9911 |   -0.2353 |    0.2290 |
#> |.....................|    0.5444 |...........|...........|...........|
#> |    U|     116.80382 |    0.4636 |     1.003 |     3.460 |    0.6947 |
#> |.....................|     1.083 |  0.008879 |     1.257 |     1.953 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    X|     116.80382 |     1.590 |     2.725 |     31.82 |    0.6947 |
#> |.....................|     2.955 |     1.009 |     1.257 |     1.953 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    C| Central Diff. |  -0.01642 |   0.03867 |    0.2678 |   0.03984 |
#> |.....................|    0.4930 |   0.04192 |  -0.02741 |    0.2097 |
#> |.....................|    0.1227 |...........|...........|...........|
#> |   27|     116.80374 |   -0.7255 |   -0.4149 |     1.010 |   -0.6093 |
#> |.....................|   -0.3374 |   -0.9912 |   -0.2353 |    0.2288 |
#> |.....................|    0.5442 |...........|...........|...........|
#> |    U|     116.80374 |    0.4636 |     1.003 |     3.460 |    0.6947 |
#> |.....................|     1.083 |  0.008839 |     1.257 |     1.953 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    X|     116.80374 |     1.590 |     2.725 |     31.81 |    0.6947 |
#> |.....................|     2.953 |     1.009 |     1.257 |     1.953 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    C| Central Diff. |  -0.01008 | -0.002947 |   0.01119 | -0.003481 |
#> |.....................|    0.4506 | -0.003364 |  -0.06411 |    0.2096 |
#> |.....................|    0.1102 |...........|...........|...........|
#> |   28|     116.80370 |   -0.7255 |   -0.4149 |     1.010 |   -0.6093 |
#> |.....................|   -0.3379 |   -0.9912 |   -0.2352 |    0.2286 |
#> |.....................|    0.5441 |...........|...........|...........|
#> |    U|      116.8037 |    0.4636 |     1.003 |     3.460 |    0.6947 |
#> |.....................|     1.082 |  0.008843 |     1.257 |     1.953 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    X|      116.8037 |     1.590 |     2.725 |     31.81 |    0.6947 |
#> |.....................|     2.952 |     1.009 |     1.257 |     1.953 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    C| Central Diff. | -0.008927 | -0.003530 | -0.002543 |   0.03935 |
#> |.....................|    0.4491 | -0.003826 |  -0.05456 |    0.1732 |
#> |.....................|   0.09266 |...........|...........|...........|
#> |   29|     116.80365 |   -0.7255 |   -0.4149 |     1.010 |   -0.6094 |
#> |.....................|   -0.3390 |   -0.9911 |   -0.2351 |    0.2282 |
#> |.....................|    0.5439 |...........|...........|...........|
#> |    U|     116.80365 |    0.4637 |     1.003 |     3.460 |    0.6947 |
#> |.....................|     1.081 |  0.008852 |     1.257 |     1.952 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    X|     116.80365 |     1.590 |     2.725 |     31.81 |    0.6947 |
#> |.....................|     2.949 |     1.009 |     1.257 |     1.952 |
#> |.....................|     2.691 |...........|...........|...........|
#> |    C| Central Diff. | -0.007599 | -0.001520 | 0.0005778 |   0.02794 |
#> |.....................|    0.4720 | -0.001619 |  -0.02704 |    0.1464 |
#> |.....................|   0.07022 |...........|...........|...........|
#> |   30|     116.80358 |   -0.7254 |   -0.4149 |     1.010 |   -0.6096 |
#> |.....................|   -0.3412 |   -0.9911 |   -0.2350 |    0.2275 |
#> |.....................|    0.5436 |...........|...........|...........|
#> |    U|     116.80358 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.079 |  0.008860 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80358 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.942 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    C| Central Diff. | -0.005416 | -0.004754 |  0.003477 |   0.06070 |
#> |.....................|    0.4775 | -0.005155 | -0.009362 |   0.09563 |
#> |.....................|   0.04744 |...........|...........|...........|
#> |   31|     116.80356 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3423 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80356 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80356 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    C| Central Diff. | -0.004504 | -0.001809 | -0.007112 |  -0.08529 |
#> |.....................|    0.4776 | -0.001961 |  -0.04002 |   0.07330 |
#> |.....................|   0.05623 |...........|...........|...........|
#> |   32|     116.80356 |   -0.7254 |   -0.4149 |     1.010 |   -0.6096 |
#> |.....................|   -0.3429 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80356 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.077 |  0.008874 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80356 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.937 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   33|     116.80362 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3426 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80362 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008873 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80362 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.938 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   34|     116.80362 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80362 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008873 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80362 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.938 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   35|     116.80355 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80355 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80355 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    C| Central Diff. | -0.004420 | -0.001815 |  -0.01189 |   -0.1646 |
#> |.....................|    0.5141 | -0.001996 |   0.02918 |   0.09605 |
#> |.....................|   0.03007 |...........|...........|...........|
#> |   36|     116.80356 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80356 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80356 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.938 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   37|     116.80358 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80358 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80358 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   38|     116.80358 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80358 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80358 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   39|     116.80357 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80357 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80357 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   40|     116.80357 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80357 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80357 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   41|     116.80357 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80357 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80357 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   42|     116.80356 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80356 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80356 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   43|     116.80356 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80356 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80356 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   44|     116.80356 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80356 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80356 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   45|     116.80356 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80356 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80356 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   46|     116.80356 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80356 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80356 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |   47|     116.80356 |   -0.7254 |   -0.4149 |     1.010 |   -0.6097 |
#> |.....................|   -0.3424 |   -0.9911 |   -0.2349 |    0.2272 |
#> |.....................|    0.5434 |...........|...........|...........|
#> |    U|     116.80356 |    0.4637 |     1.003 |     3.460 |    0.6946 |
#> |.....................|     1.078 |  0.008872 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> |    X|     116.80356 |     1.590 |     2.725 |     31.81 |    0.6946 |
#> |.....................|     2.939 |     1.009 |     1.257 |     1.951 |
#> |.....................|     2.690 |...........|...........|...........|
#> calculating covariance matrix
#> done
#> Calculating residuals/tables
#> done
#>  added categorical_SEX_0*cov_SEX_0_ka to ka's equation in the model
#>  updated value: ka<-exp(tka+categorical_SEX_0*cov_SEX_0_ka+eta.ka)
#> Needed Covariates:
#> [1] "categorical_SEX_0"
#> Key: U: Unscaled Parameters; X: Back-transformed parameters; G: Gill difference gradient approximation
#> F: Forward difference gradient approximation
#> C: Central difference gradient approximation
#> M: Mixed forward and central difference gradient approximation
#> Unscaled parameters for Omegas=chol(solve(omega));
#> Diagonals are transformed, as specified by foceiControl(diagXform=)
#> |-----+---------------+-----------+-----------+-----------+-----------|
#> |    #| Objective Fun |       tka |       tcl |        tv |    add.sd |
#> |.....................|cov_SEX_0_ka |        o1 |        o2 |        o3 |
#> |    1|     133.57512 |   -0.7391 |   -0.4242 |     1.000 |   -0.5942 |
#> |.....................|    -1.000 |   -0.3413 |   -0.2167 |   0.03089 |
#> |    U|     133.57512 |    0.4500 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|     0.000 |     1.136 |     1.351 |     1.778 |
#> |    X|     133.57512 |     1.568 |     2.700 |     31.50 |    0.7000 |
#> |.....................|     1.000 |     1.136 |     1.351 |     1.778 |
#> |    G|    Gill Diff. |   -0.9310 |    -1.614 |    -3.052 |     1.589 |
#> |.....................|   -0.3833 |    -11.78 |    -35.27 |    -34.78 |
#> |    2|     122.57176 |   -0.7209 |   -0.3926 |     1.060 |   -0.6253 |
#> |.....................|   -0.9925 |   -0.1106 |    0.4740 |    0.7119 |
#> |    U|     122.57176 |    0.4682 |     1.025 |     3.510 |    0.6891 |
#> |.....................|  0.007504 |     1.398 |     2.284 |     2.989 |
#> |    X|     122.57176 |     1.597 |     2.787 |     33.44 |    0.6891 |
#> |.....................|     1.008 |     1.398 |     2.284 |     2.989 |
#> |    F| Forward Diff. |   -0.6138 |     14.75 |     69.97 |    -5.068 |
#> |.....................|   -0.1255 |     14.08 |     16.75 |     13.96 |
#> |    3|     691.05960 |   -0.7027 |   -0.5840 |    0.1043 |   -0.5701 |
#> |.....................|   -0.9868 |   -0.1885 |    0.5987 |    0.8711 |
#> |    U|      691.0596 |    0.4864 |    0.8334 |     2.554 |    0.7084 |
#> |.....................|   0.01320 |     1.310 |     2.453 |     3.272 |
#> |    X|      691.0596 |     1.626 |     2.301 |     12.86 |    0.7084 |
#> |.....................|     1.013 |     1.310 |     2.453 |     3.272 |
#> |    4|     121.03067 |   -0.7201 |   -0.4119 |    0.9680 |   -0.6187 |
#> |.....................|   -0.9923 |   -0.1291 |    0.4520 |    0.6936 |
#> |    U|     121.03067 |    0.4690 |     1.006 |     3.418 |    0.6914 |
#> |.....................|  0.007669 |     1.377 |     2.255 |     2.957 |
#> |    X|     121.03067 |     1.598 |     2.733 |     30.51 |    0.6914 |
#> |.....................|     1.008 |     1.377 |     2.255 |     2.957 |
#> |    F| Forward Diff. |     2.906 |    -6.927 |    -53.50 |    -3.168 |
#> |.....................|     1.742 |     13.24 |     15.45 |     9.487 |
#> |    5|     118.40376 |   -0.7259 |   -0.4104 |     1.019 |   -0.6075 |
#> |.....................|   -0.9959 |   -0.1720 |    0.3935 |    0.6497 |
#> |    U|     118.40376 |    0.4632 |     1.007 |     3.469 |    0.6954 |
#> |.....................|  0.004068 |     1.329 |     2.176 |     2.879 |
#> |    X|     118.40376 |     1.589 |     2.738 |     32.11 |    0.6954 |
#> |.....................|     1.004 |     1.329 |     2.176 |     2.879 |
#> |    F| Forward Diff. |   0.06943 |   -0.1210 |     11.55 |    -1.206 |
#> |.....................|    0.1265 |     7.334 |     11.27 |     6.739 |
#> |    6|     117.96347 |   -0.7265 |   -0.4041 |    0.9745 |   -0.6023 |
#> |.....................|   -0.9967 |   -0.2119 |    0.3257 |    0.6079 |
#> |    U|     117.96347 |    0.4626 |     1.013 |     3.425 |    0.6972 |
#> |.....................|  0.003313 |     1.283 |     2.084 |     2.804 |
#> |    X|     117.96347 |     1.588 |     2.755 |     30.71 |    0.6972 |
#> |.....................|     1.003 |     1.283 |     2.084 |     2.804 |
#> |    F| Forward Diff. |     1.151 |    -2.174 |    -37.47 |    0.1929 |
#> |.....................|    0.6283 |     3.090 |     7.222 |     4.287 |
#> |    7|     117.01052 |   -0.7240 |   -0.4046 |     1.027 |   -0.6151 |
#> |.....................|   -0.9949 |   -0.2188 |    0.2547 |    0.5630 |
#> |    U|     117.01052 |    0.4651 |     1.013 |     3.477 |    0.6927 |
#> |.....................|  0.005105 |     1.275 |     1.988 |     2.725 |
#> |    X|     117.01052 |     1.592 |     2.754 |     32.35 |    0.6927 |
#> |.....................|     1.005 |     1.275 |     1.988 |     2.725 |
#> |    F| Forward Diff. |   -0.1135 |     1.555 |     17.12 |   -0.7676 |
#> |.....................|   0.04685 |     2.022 |     2.107 |     1.858 |
#> |    8|     117.19994 |   -0.7301 |   -0.4496 |     1.005 |   -0.6190 |
#> |.....................|    -1.001 |   -0.2216 |    0.1978 |    0.4985 |
#> |    U|     117.19994 |    0.4590 |    0.9679 |     3.455 |    0.6913 |
#> |.....................| -0.001212 |     1.272 |     1.911 |     2.610 |
#> |    X|     117.19994 |     1.583 |     2.632 |     31.67 |    0.6913 |
#> |.....................|    0.9988 |     1.272 |     1.911 |     2.610 |
#> |    9|     116.86330 |   -0.7258 |   -0.4199 |     1.006 |   -0.6157 |
#> |.....................|   -0.9969 |   -0.2213 |    0.2352 |    0.5414 |
#> |    U|      116.8633 |    0.4633 |    0.9976 |     3.456 |    0.6925 |
#> |.....................|  0.003095 |     1.273 |     1.962 |     2.686 |
#> |    X|      116.8633 |     1.589 |     2.712 |     31.69 |    0.6925 |
#> |.....................|     1.003 |     1.273 |     1.962 |     2.686 |
#> |    F| Forward Diff. |    0.1191 |    -4.492 |    -4.573 |   -0.6919 |
#> |.....................|    0.1224 |     1.886 |    0.6391 | -0.004244 |
#> |   10|     116.87411 |   -0.7264 |   -0.3840 |     1.006 |   -0.6094 |
#> |.....................|   -0.9982 |   -0.2350 |    0.2323 |    0.5392 |
#> |    U|     116.87411 |    0.4628 |     1.033 |     3.456 |    0.6947 |
#> |.....................|  0.001768 |     1.257 |     1.958 |     2.682 |
#> |    X|     116.87411 |     1.588 |     2.811 |     31.69 |    0.6947 |
#> |.....................|     1.002 |     1.257 |     1.958 |     2.682 |
#> |   11|     116.81210 |   -0.7261 |   -0.4038 |     1.012 |   -0.6130 |
#> |.....................|   -0.9974 |   -0.2277 |    0.2336 |    0.5407 |
#> |    U|      116.8121 |    0.4630 |     1.014 |     3.462 |    0.6934 |
#> |.....................|  0.002554 |     1.265 |     1.960 |     2.685 |
#> |    X|      116.8121 |     1.589 |     2.756 |     31.87 |    0.6934 |
#> |.....................|     1.003 |     1.265 |     1.960 |     2.685 |
#> |    F| Forward Diff. |   0.01717 |    0.6550 |     1.923 |   -0.2624 |
#> |.....................|   0.03243 |     1.074 |    0.4303 |   0.02936 |
#> |   12|     116.82346 |   -0.7263 |   -0.4053 |     1.004 |   -0.6092 |
#> |.....................|   -0.9979 |   -0.2429 |    0.2340 |    0.5468 |
#> |    U|     116.82346 |    0.4629 |     1.012 |     3.454 |    0.6948 |
#> |.....................|  0.002061 |     1.248 |     1.960 |     2.696 |
#> |    X|     116.82346 |     1.589 |     2.751 |     31.63 |    0.6948 |
#> |.....................|     1.002 |     1.248 |     1.960 |     2.696 |
#> |   13|     116.81327 |   -0.7262 |   -0.4057 |     1.006 |   -0.6122 |
#> |.....................|   -0.9975 |   -0.2308 |    0.2323 |    0.5406 |
#> |    U|     116.81327 |    0.4629 |     1.012 |     3.456 |    0.6937 |
#> |.....................|  0.002459 |     1.262 |     1.958 |     2.685 |
#> |    X|     116.81327 |     1.589 |     2.750 |     31.69 |    0.6937 |
#> |.....................|     1.002 |     1.262 |     1.958 |     2.685 |
#> |   14|     116.80847 |   -0.7262 |   -0.4047 |     1.009 |   -0.6126 |
#> |.....................|   -0.9975 |   -0.2291 |    0.2330 |    0.5407 |
#> |    U|     116.80847 |    0.4630 |     1.013 |     3.459 |    0.6935 |
#> |.....................|  0.002510 |     1.264 |     1.959 |     2.685 |
#> |    X|     116.80847 |     1.589 |     2.753 |     31.79 |    0.6935 |
#> |.....................|     1.003 |     1.264 |     1.959 |     2.685 |
#> |    F| Forward Diff. |   0.06602 |    0.2217 |   -0.6063 |   -0.2064 |
#> |.....................|   0.07349 |    0.9058 |    0.4319 |  -0.02269 |
#> |   15|     116.80615 |   -0.7263 |   -0.4053 |     1.011 |   -0.6121 |
#> |.....................|   -0.9977 |   -0.2315 |    0.2318 |    0.5407 |
#> |    U|     116.80615 |    0.4628 |     1.012 |     3.461 |    0.6937 |
#> |.....................|  0.002316 |     1.261 |     1.957 |     2.685 |
#> |    X|     116.80615 |     1.589 |     2.752 |     31.84 |    0.6937 |
#> |.....................|     1.002 |     1.261 |     1.957 |     2.685 |
#> |    F| Forward Diff. |  0.004366 |    0.1398 |    0.8989 |   -0.2182 |
#> |.....................|   0.03171 |    0.5977 |    0.3486 |   0.01430 |
#> |   16|     116.80588 |   -0.7263 |   -0.4056 |     1.008 |   -0.6115 |
#> |.....................|   -0.9978 |   -0.2332 |    0.2309 |    0.5407 |
#> |    U|     116.80588 |    0.4628 |     1.012 |     3.458 |    0.6939 |
#> |.....................|  0.002229 |     1.259 |     1.956 |     2.685 |
#> |    X|     116.80588 |     1.588 |     2.751 |     31.76 |    0.6939 |
#> |.....................|     1.002 |     1.259 |     1.956 |     2.685 |
#> |    F| Forward Diff. |   0.05136 |   -0.1335 |    -1.458 |   -0.1218 |
#> |.....................|   0.03459 |    0.4392 |    0.3226 |  -0.05937 |
#> |   17|     116.80398 |   -0.7262 |   -0.4054 |     1.010 |   -0.6102 |
#> |.....................|   -0.9978 |   -0.2340 |    0.2296 |    0.5424 |
#> |    U|     116.80398 |    0.4629 |     1.012 |     3.460 |    0.6944 |
#> |.....................|  0.002171 |     1.258 |     1.954 |     2.688 |
#> |    X|     116.80398 |     1.589 |     2.751 |     31.82 |    0.6944 |
#> |.....................|     1.002 |     1.258 |     1.954 |     2.688 |
#> |    F| Forward Diff. |   0.01698 |   0.05928 |    0.3320 |   0.04971 |
#> |.....................|   0.03278 |    0.2857 |    0.2292 |   0.04921 |
#> |   18|     116.80390 |   -0.7263 |   -0.4052 |     1.009 |   -0.6120 |
#> |.....................|   -0.9982 |   -0.2351 |    0.2276 |    0.5433 |
#> |    U|      116.8039 |    0.4628 |     1.012 |     3.459 |    0.6938 |
#> |.....................|  0.001752 |     1.257 |     1.952 |     2.689 |
#> |    X|      116.8039 |     1.589 |     2.752 |     31.79 |    0.6938 |
#> |.....................|     1.002 |     1.257 |     1.952 |     2.689 |
#> |    C| Central Diff. |  0.006937 | 0.0002783 |   -0.6092 |   -0.1246 |
#> |.....................| -0.005878 |    0.1261 |    0.1405 |   0.04195 |
#> |   19|     116.80390 |   -0.7263 |   -0.4052 |     1.009 |   -0.6120 |
#> |.....................|   -0.9982 |   -0.2351 |    0.2276 |    0.5433 |
#> |    U|      116.8039 |    0.4628 |     1.012 |     3.459 |    0.6938 |
#> |.....................|  0.001752 |     1.257 |     1.952 |     2.689 |
#> |    X|      116.8039 |     1.589 |     2.752 |     31.79 |    0.6938 |
#> |.....................|     1.002 |     1.257 |     1.952 |     2.689 |
#> calculating covariance matrix
#> done
#> Calculating residuals/tables
#> done
#>  added categorical_SEX_0*cov_SEX_0_cl to cl's equation in the model
#>  updated value: cl<-exp(tcl+categorical_SEX_0*cov_SEX_0_cl+eta.cl)
#> Needed Covariates:
#> [1] "categorical_SEX_0"
#> Key: U: Unscaled Parameters; X: Back-transformed parameters; G: Gill difference gradient approximation
#> F: Forward difference gradient approximation
#> C: Central difference gradient approximation
#> M: Mixed forward and central difference gradient approximation
#> Unscaled parameters for Omegas=chol(solve(omega));
#> Diagonals are transformed, as specified by foceiControl(diagXform=)
#> |-----+---------------+-----------+-----------+-----------+-----------|
#> |    #| Objective Fun |       tka |       tcl |        tv |    add.sd |
#> |.....................|cov_SEX_0_cl |        o1 |        o2 |        o3 |
#> |    1|     133.57512 |   -0.7391 |   -0.4242 |     1.000 |   -0.5942 |
#> |.....................|    -1.000 |   -0.3413 |   -0.2167 |   0.03089 |
#> |    U|     133.57512 |    0.4500 |    0.9933 |     3.450 |    0.7000 |
#> |.....................|     0.000 |     1.136 |     1.351 |     1.778 |
#> |    X|     133.57512 |     1.568 |     2.700 |     31.50 |    0.7000 |
#> |.....................|     1.000 |     1.136 |     1.351 |     1.778 |
#> |    G|    Gill Diff. |   -0.9310 |    -1.614 |    -3.052 |     1.589 |
#> |.....................|    -1.864 |    -11.78 |    -35.27 |    -34.78 |
#> |    2|     122.79252 |   -0.7209 |   -0.3926 |     1.060 |   -0.6253 |
#> |.....................|   -0.9635 |   -0.1107 |    0.4735 |    0.7115 |
#> |    U|     122.79252 |    0.4682 |     1.025 |     3.510 |    0.6891 |
#> |.....................|   0.03648 |     1.398 |     2.284 |     2.989 |
#> |    X|     122.79252 |     1.597 |     2.787 |     33.44 |    0.6891 |
#> |.....................|     1.037 |     1.398 |     2.284 |     2.989 |
#> |    F| Forward Diff. |   -0.7224 |     23.53 |     72.49 |    -4.846 |
#> |.....................|     11.03 |     14.22 |     17.29 |     14.16 |
#> |    3|     736.39476 |   -0.7016 |   -0.6833 |    0.1439 |   -0.5787 |
#> |.....................|    -1.088 |   -0.1720 |    0.6205 |    0.8942 |
#> |    U|     736.39476 |    0.4875 |    0.7342 |     2.594 |    0.7054 |
#> |.....................|  -0.08802 |     1.329 |     2.482 |     3.313 |
#> |    X|     736.39476 |     1.628 |     2.084 |     13.38 |    0.7054 |
#> |.....................|    0.9157 |     1.329 |     2.482 |     3.313 |
#> |    4|     120.79421 |   -0.7200 |   -0.4215 |    0.9709 |   -0.6194 |
#> |.....................|   -0.9770 |   -0.1282 |    0.4523 |    0.6941 |
#> |    U|     120.79421 |    0.4691 |    0.9960 |     3.421 |    0.6912 |
#> |.....................|   0.02296 |     1.378 |     2.255 |     2.958 |
#> |    X|     120.79421 |     1.599 |     2.707 |     30.60 |    0.6912 |
#> |.....................|     1.023 |     1.378 |     2.255 |     2.958 |
#> |    F| Forward Diff. |     2.534 |    -5.692 |    -49.42 |    -3.130 |
#> |.....................|    -5.302 |     13.05 |     15.32 |     9.338 |
#> |    5|     118.38422 |   -0.7252 |   -0.4264 |     1.023 |   -0.6089 |
#> |.....................|   -0.9744 |   -0.1700 |    0.3935 |    0.6501 |
#> |    U|     118.38422 |    0.4639 |    0.9910 |     3.473 |    0.6949 |
#> |.....................|   0.02562 |     1.331 |     2.176 |     2.879 |
#> |    X|     118.38422 |     1.590 |     2.694 |     32.22 |    0.6949 |
#> |.....................|     1.026 |     1.331 |     2.176 |     2.879 |
#> |    F| Forward Diff. |   -0.1463 |    -1.154 |     15.21 |    -1.138 |
#> |.....................|    -2.496 |     7.504 |     11.07 |     6.962 |
#> |    6|     117.77043 |   -0.7253 |   -0.4088 |    0.9789 |   -0.6044 |
#> |.....................|   -0.9558 |   -0.2082 |    0.3294 |    0.6070 |
#> |    U|     117.77043 |    0.4639 |     1.009 |     3.429 |    0.6964 |
#> |.....................|   0.04417 |     1.287 |     2.089 |     2.803 |
#> |    X|     117.77043 |     1.590 |     2.742 |     30.84 |    0.6964 |
#> |.....................|     1.045 |     1.287 |     2.089 |     2.803 |
#> |    F| Forward Diff. |     1.141 |     4.597 |    -31.16 |   0.08457 |
#> |.....................|     2.182 |     3.543 |     7.253 |     4.044 |
#> |    7|     116.96098 |   -0.7250 |   -0.4401 |     1.025 |   -0.6153 |
#> |.....................|   -0.9703 |   -0.2219 |    0.2619 |    0.5643 |
#> |    U|     116.96098 |    0.4641 |    0.9773 |     3.475 |    0.6926 |
#> |.....................|   0.02969 |     1.272 |     1.998 |     2.727 |
#> |    X|     116.96098 |     1.591 |     2.657 |     32.30 |    0.6926 |
#> |.....................|     1.030 |     1.272 |     1.998 |     2.727 |
#> |    F| Forward Diff. |   -0.3967 |    -5.118 |     14.10 |   -0.8944 |
#> |.....................|    -3.807 |     1.589 |     2.347 |     1.916 |
#> |    8|     117.38482 |   -0.7213 |   -0.3814 |     1.017 |   -0.6133 |
#> |.....................|   -0.9268 |   -0.2089 |    0.2126 |    0.5200 |
#> |    U|     117.38482 |    0.4678 |     1.036 |     3.467 |    0.6933 |
#> |.....................|   0.07318 |     1.287 |     1.931 |     2.648 |
#> |    X|     117.38482 |     1.596 |     2.818 |     32.04 |    0.6933 |
#> |.....................|     1.076 |     1.287 |     1.931 |     2.648 |
#> |    9|     116.76698 |   -0.7239 |   -0.4235 |     1.006 |   -0.6138 |
#> |.....................|   -0.9580 |   -0.2216 |    0.2504 |    0.5542 |
#> |    U|     116.76698 |    0.4653 |    0.9940 |     3.456 |    0.6931 |
#> |.....................|   0.04202 |     1.272 |     1.982 |     2.709 |
#> |    X|     116.76698 |     1.592 |     2.702 |     31.69 |    0.6931 |
#> |.....................|     1.043 |     1.272 |     1.982 |     2.709 |
#> |    F| Forward Diff. |    0.2564 |    0.7371 |    -3.485 |   -0.5046 |
#> |.....................|   0.05455 |     1.833 |     1.505 |    0.7553 |
#> |   10|     116.77116 |   -0.7265 |   -0.4240 |     1.015 |   -0.6009 |
#> |.....................|   -0.9497 |   -0.2474 |    0.2438 |    0.5530 |
#> |    U|     116.77116 |    0.4627 |    0.9935 |     3.465 |    0.6977 |
#> |.....................|   0.05029 |     1.243 |     1.973 |     2.707 |
#> |    X|     116.77116 |     1.588 |     2.701 |     31.97 |    0.6977 |
#> |.....................|     1.052 |     1.243 |     1.973 |     2.707 |
#> |   11|     116.75064 |   -0.7251 |   -0.4249 |     1.014 |   -0.6092 |
#> |.....................|   -0.9556 |   -0.2323 |    0.2460 |    0.5526 |
#> |    U|     116.75064 |    0.4641 |    0.9926 |     3.464 |    0.6948 |
#> |.....................|   0.04440 |     1.260 |     1.976 |     2.706 |
#> |    X|     116.75064 |     1.591 |     2.698 |     31.95 |    0.6948 |
#> |.....................|     1.045 |     1.260 |     1.976 |     2.706 |
#> |    F| Forward Diff. |  -0.04480 |     1.210 |     4.754 |   0.06853 |
#> |.....................|    0.4846 |    0.4376 |     1.181 |    0.8815 |
#> |   12|     116.74781 |   -0.7258 |   -0.4344 |     1.007 |   -0.6080 |
#> |.....................|   -0.9590 |   -0.2378 |    0.2402 |    0.5490 |
#> |    U|     116.74781 |    0.4633 |    0.9830 |     3.457 |    0.6952 |
#> |.....................|   0.04096 |     1.254 |     1.969 |     2.700 |
#> |    X|     116.74781 |     1.589 |     2.673 |     31.71 |    0.6952 |
#> |.....................|     1.042 |     1.254 |     1.969 |     2.700 |
#> |    F| Forward Diff. |  0.008017 |    -2.721 |    -3.222 |    0.2572 |
#> |.....................|    -1.739 |   -0.1191 |    0.7926 |    0.4858 |
#> |   13|     116.72996 |   -0.7258 |   -0.4301 |     1.011 |   -0.6094 |
#> |.....................|   -0.9561 |   -0.2367 |    0.2380 |    0.5475 |
#> |    U|     116.72996 |    0.4633 |    0.9874 |     3.461 |    0.6947 |
#> |.....................|   0.04388 |     1.255 |     1.966 |     2.697 |
#> |    X|     116.72996 |     1.589 |     2.684 |     31.86 |    0.6947 |
#> |.....................|     1.045 |     1.255 |     1.966 |     2.697 |
#> |    F| Forward Diff. |  -0.06375 |   -0.6705 |     1.584 |    0.1387 |
#> |.....................|   -0.4893 |    0.1923 |    0.6005 |    0.5040 |
#> |   14|     116.73508 |   -0.7256 |   -0.4274 |     1.005 |   -0.6099 |
#> |.....................|   -0.9542 |   -0.2374 |    0.2357 |    0.5455 |
#> |    U|     116.73508 |    0.4636 |    0.9900 |     3.455 |    0.6945 |
#> |.....................|   0.04579 |     1.254 |     1.962 |     2.693 |
#> |    X|     116.73508 |     1.590 |     2.691 |     31.66 |    0.6945 |
#> |.....................|     1.047 |     1.254 |     1.962 |     2.693 |
#> |   15|     116.72731 |   -0.7257 |   -0.4291 |     1.009 |   -0.6096 |
#> |.....................|   -0.9554 |   -0.2370 |    0.2371 |    0.5467 |
#> |    U|     116.72731 |    0.4634 |    0.9884 |     3.459 |    0.6946 |
#> |.....................|   0.04459 |     1.255 |     1.964 |     2.696 |
#> |    X|     116.72731 |     1.589 |     2.687 |     31.79 |    0.6946 |
#> |.....................|     1.046 |     1.255 |     1.964 |     2.696 |
#> |    F| Forward Diff. | -0.001385 |   -0.4217 |   -0.5690 |   0.09627 |
#> |.....................|   -0.3311 |  -0.07777 |    0.5526 |    0.3931 |
#> |   16|     116.72600 |   -0.7257 |   -0.4279 |     1.011 |   -0.6098 |
#> |.....................|   -0.9545 |   -0.2367 |    0.2356 |    0.5456 |
#> |    U|       116.726 |    0.4634 |    0.9895 |     3.461 |    0.6945 |
#> |.....................|   0.04551 |     1.255 |     1.962 |     2.694 |
#> |    X|       116.726 |     1.589 |     2.690 |     31.84 |    0.6945 |
#> |.....................|     1.047 |     1.255 |     1.962 |     2.694 |
#> |    F| Forward Diff. |  -0.02870 |    0.1595 |     1.032 |   0.03261 |
#> |.....................|   0.01310 |    0.2993 |    0.4131 |    0.3464 |
#> |   17|     116.72495 |   -0.7256 |   -0.4286 |     1.009 |   -0.6103 |
#> |.....................|   -0.9546 |   -0.2366 |    0.2341 |    0.5442 |
#> |    U|     116.72495 |    0.4635 |    0.9889 |     3.459 |    0.6944 |
#> |.....................|   0.04540 |     1.255 |     1.960 |     2.691 |
#> |    X|     116.72495 |     1.590 |     2.688 |     31.78 |    0.6944 |
#> |.....................|     1.046 |     1.255 |     1.960 |     2.691 |
#> |    F| Forward Diff. |   0.01431 |   -0.1674 |   -0.7009 |   0.02858 |
#> |.....................|   -0.1371 |  -0.01406 |    0.3322 |    0.2395 |
#> |   18|     116.72404 |   -0.7254 |   -0.4289 |     1.010 |   -0.6110 |
#> |.....................|   -0.9547 |   -0.2360 |    0.2325 |    0.5423 |
#> |    U|     116.72404 |    0.4637 |    0.9886 |     3.460 |    0.6941 |
#> |.....................|   0.04533 |     1.256 |     1.958 |     2.688 |
#> |    X|     116.72404 |     1.590 |     2.687 |     31.82 |    0.6941 |
#> |.....................|     1.046 |     1.256 |     1.958 |     2.688 |
#> |    F| Forward Diff. | -0.007771 |   -0.2005 |    0.4020 |  -0.07016 |
#> |.....................|   -0.1716 |    0.3784 |    0.2054 |    0.1653 |
#> |   19|     116.72395 |   -0.7252 |   -0.4284 |     1.010 |   -0.6107 |
#> |.....................|   -0.9543 |   -0.2386 |    0.2322 |    0.5412 |
#> |    U|     116.72395 |    0.4639 |    0.9890 |     3.460 |    0.6942 |
#> |.....................|   0.04566 |     1.253 |     1.958 |     2.686 |
#> |    X|     116.72395 |     1.590 |     2.689 |     31.81 |    0.6942 |
#> |.....................|     1.047 |     1.253 |     1.958 |     2.686 |
#> |    C| Central Diff. | -0.009444 |  -0.08092 |    0.1143 |  0.002471 |
#> |.....................|   -0.1244 |   -0.2495 |    0.1646 |    0.1098 |
#> |   20|     116.72365 |   -0.7252 |   -0.4281 |     1.009 |   -0.6107 |
#> |.....................|   -0.9539 |   -0.2376 |    0.2315 |    0.5408 |
#> |    U|     116.72365 |    0.4639 |    0.9893 |     3.459 |    0.6942 |
#> |.....................|   0.04614 |     1.254 |     1.957 |     2.685 |
#> |    X|     116.72365 |     1.590 |     2.689 |     31.80 |    0.6942 |
#> |.....................|     1.047 |     1.254 |     1.957 |     2.685 |
#> |    F| Forward Diff. |   0.02096 |    0.1041 |   -0.1935 |  -0.01028 |
#> |.....................|   0.04643 |    0.2440 |    0.1311 |   0.07417 |
#> |   21|     116.72365 |   -0.7252 |   -0.4281 |     1.009 |   -0.6107 |
#> |.....................|   -0.9539 |   -0.2376 |    0.2315 |    0.5408 |
#> |    U|     116.72365 |    0.4639 |    0.9893 |     3.459 |    0.6942 |
#> |.....................|   0.04614 |     1.254 |     1.957 |     2.685 |
#> |    X|     116.72365 |     1.590 |     2.689 |     31.80 |    0.6942 |
#> |.....................|     1.047 |     1.254 |     1.957 |     2.685 |
#> calculating covariance matrix
#> done
#> Calculating residuals/tables
#> done
#> 
#> ── objf value did not improve, exiting the search ... ──────────────────────────
#> 
#> ── forward search complete ──
#> 
#> $summaryTable
#>   step covar var     objf      deltObjf      AIC      BIC numParams  qchisqr
#> 1    1    WT  ka 116.8035   2.22349e-05 377.4032 403.3484         9 5.991465
#> 2    1    WT  cl 116.8036 -7.923847e-05 377.4033 403.3485         9 5.991465
#> 3    1   SEX  ka 116.8039  -0.000418987 375.4037 398.4661         8 3.841459
#> 4    1   SEX  cl 116.7237    0.07982507 375.3234 398.3858         8 3.841459
#>     pchisqr included searchType     covNames covarEffect
#> 1         1             forward    cov_WT_ka 0.006727113
#> 2 0.9999604             forward    cov_WT_cl 0.008872241
#> 3 0.9836691             forward cov_SEX_0_ka 0.001751534
#> 4         1             forward cov_SEX_0_cl  0.04614348
#> 
#> $resFwd
#> $resFwd[[1]]
#> ── nlmixr FOCEi (outer: nlminb) fit ────────────────────────────────────────────
#> 
#>           OBJF      AIC      BIC Log-likelihood Condition Number
#> FOCEi 116.8035 373.4033 393.5829      -179.7016         68.42019
#> 
#> ── Time (sec $time): ───────────────────────────────────────────────────────────
#> 
#>            setup optimize covariance table    other
#> elapsed 0.370314 0.188871   0.188878 0.015 0.671937
#> 
#> ── Population Parameters ($parFixed or $parFixedDf): ───────────────────────────
#> 
#>        Parameter  Est.     SE %RSE Back-transformed(95%CI) BSV(CV%) Shrink(SD)%
#> tka       Log Ka 0.464  0.195 42.1       1.59 (1.08, 2.33)     70.4      1.81% 
#> tcl       Log Cl  1.01 0.0751 7.42       2.75 (2.37, 3.19)     26.8      3.87% 
#> tv         log V  3.46 0.0437 1.26       31.8 (29.2, 34.6)     13.9      10.3% 
#> add.sd           0.695                               0.695                     
#>  
#>   Covariance Type ($covMethod): r,s
#>   Some strong fixed parameter correlations exist ($cor) :
#>     cor:tcl,tka  cor:tv,tka  cor:tv,tcl 
#>      0.158        0.422       0.744  
#>  
#> 
#>   No correlations in between subject variability (BSV) matrix
#>   Full BSV covariance ($omega) or correlation ($omegaR; diagonals=SDs) 
#>   Distribution stats (mean/skewness/kurtosis/p-value) available in $shrink 
#>   Minimization message ($message):  
#>     relative convergence (4) 
#> 
#> ── Fit Data (object is a modified tibble): ─────────────────────────────────────
#> # A tibble: 132 × 20
#>   ID     TIME    DV     PRED    RES   WRES IPRED   IRES  IWRES     CPRED   CRES
#>   <fct> <dbl> <dbl>    <dbl>  <dbl>  <dbl> <dbl>  <dbl>  <dbl>     <dbl>  <dbl>
#> 1 1      0     0.74 1.79e-15  0.740  1.07   0     0.74   1.07  -5.61e-16  0.740
#> 2 1      0.25  2.84 3.26e+ 0 -0.423 -0.225  3.85 -1.01  -1.45   3.22e+ 0 -0.379
#> 3 1      0.57  6.57 5.83e+ 0  0.740  0.297  6.78 -0.215 -0.309  5.77e+ 0  0.795
#> # … with 129 more rows, and 9 more variables: CWRES <dbl>, eta.ka <dbl>,
#> #   eta.cl <dbl>, eta.v <dbl>, ka <dbl>, cl <dbl>, v <dbl>, tad <dbl>,
#> #   dosenum <dbl>
#> 
#> $resFwd[[2]]
#>   step covar var     objf      deltObjf      AIC      BIC numParams  qchisqr
#> 1    1    WT  ka 116.8035   2.22349e-05 377.4032 403.3484         9 5.991465
#> 2    1    WT  cl 116.8036 -7.923847e-05 377.4033 403.3485         9 5.991465
#> 3    1   SEX  ka 116.8039  -0.000418987 375.4037 398.4661         8 3.841459
#> 4    1   SEX  cl 116.7237    0.07982507 375.3234 398.3858         8 3.841459
#>     pchisqr included searchType     covNames covarEffect
#> 1         1             forward    cov_WT_ka 0.006727113
#> 2 0.9999604             forward    cov_WT_cl 0.008872241
#> 3 0.9836691             forward cov_SEX_0_ka 0.001751534
#> 4         1             forward cov_SEX_0_cl  0.04614348
#> 
#> 
#> $resBck
#> NULL
#> 

# }