=== Test: test_F_exploded_logit ===
Timestamp: 2026-04-17 14:40:19.249376

--- Gradient Check ---
Pass: TRUE
Max error: 2.86e-04

param_idx param_value fixed analytical finite_diff abs_error rel_error pass
1 1 TRUE -79.1009178836151 -79.1007080078125 0.000209875802610782 2.65327337639068e-06 TRUE
2 0 FALSE -6.17123410469343 -6.17131042480469 7.63201112601308e-05 1.23669214488665e-05 TRUE
3 0.5 FALSE 78.8685834975551 78.8687286376953 0.000145140140219269 1.84027488113836e-06 TRUE
4 0 FALSE 41.2840806101929 41.2840881347656 7.52457272312768e-06 1.82263265657336e-07 TRUE
5 0.8 FALSE -120.622735963735 -120.622589111328 0.000146852406587072 1.21745361021505e-06 TRUE
6 0.5 FALSE -40.2928676450462 -40.2929840087891 0.000116363742876047 2.88794056182745e-06 TRUE
7 0.5 FALSE 2.75387198112695 2.75396728515625 9.53040292950291e-05 3.4606086211958e-05 TRUE
8 0.8 FALSE -7.85866061849184 -7.85870361328125 4.29947894140525e-05 5.47097734305581e-06 TRUE
9 0.6 FALSE -0.936852210179195 -0.93658447265625 0.000267737522945399 0.000285865857017753 TRUE
10 -0.3 FALSE -34.4009806705629 -34.4008178710938 0.000162799469180186 4.73243019367231e-06 TRUE
11 -0.5 FALSE -19.6218904885285 -19.6219940185547 0.000103530026208887 5.27622351280854e-06 TRUE
12 0.9 FALSE -9.49749078317822 -9.49752807617188 3.72929936567346e-05 3.92659999082267e-06 TRUE

--- Estimation Comparison ---
Default init converged: TRUE
True init converged: TRUE
Default estimates reasonable: TRUE
True init estimates reasonable: TRUE

Parameter estimates:
parameter true_value default_init est_default se_default est_true_init se_true_init z_default z_true_init
f_var 1 1 1.05276482201138 0.077128221840623 1.05276482231068 0.0771282216654046 0.68411822225613 0.684118227690838
T1_int 0 -0.00160996465322061 0.0124271013108137 0.0326772836350036 0.0124271013647997 0.0326772836176975 0.380297868379181 0.380297870232683
T1_sigma 0.5 1.10136496124342 0.419453741673392 0.0545904341500231 0.419453741422491 0.0545904339748576 -1.47546469598052 -1.47546470531094
T2_int 0 0.0102672952509104 0.0207799059463301 0.0271709417526899 0.020779905985576 0.0271709417423445 0.76478416300285 0.764784164738451
T2_lambda 0.8 0.5 0.748917952110079 0.0373757658745341 0.748917951941107 0.0373757657578842 -1.36671575002362 -1.36671575881004
T2_sigma 0.5 0.907469725191246 0.491621842442674 0.0288697624534815 0.491621842573786 0.0288697623625691 -0.29020528211225 -0.290205278484603
c1_int 0.5 0.393125126847742 0.450686910437688 0.066847528503214 0.450686910468925 0.066847528500051 -0.737695030264892 -0.73769502983252
c1_beta1 0.8 0.785193799488574 0.729568087022622 0.0699913230625388 0.729568087016083 0.069991323061953 -1.00629492193547 -1.00629492203733
c1_loading 0.6 0.5 0.566269722482493 0.0754746243438967 0.566269722359463 0.0754746243019583 -0.446908849308305 -0.446908851186714
c2_int -0.3 -0.472297241459335 -0.442324926916289 0.071985338957018 -0.442324926859647 0.0719853389473372 -1.97713769190238 -1.97713769138141
c2_beta1 -0.5 -0.61539056778553 -0.624895362586366 0.0705014692768629 -0.624895362583145 0.0705014692758146 -1.77152850667403 -1.77152850665468
c2_loading 0.9 0.5 0.870181668678597 0.0843540498989891 0.870181668528483 0.0843540498459852 -0.353490216025306 -0.353490218026988

Likelihood comparison:
source loglik convergence
True parameters -3862.32549700003 NA
Est (default init) -3852.32052907682 0
Est (true init) -3852.32052907683 0

--- Overall Result ---
Test passed: TRUE
