=== Test: test_F_exploded_logit ===
Timestamp: 2026-01-04 12:07:47.076517

--- Gradient Check ---
Pass: TRUE
Max error: 1.09e-05

param_idx param_value fixed analytical finite_diff abs_error rel_error pass
1 1 TRUE -68.3770005254201 -68.3770904541016 8.99286814188827e-05 1.31518730647435e-06 TRUE
2 2 FALSE 10.3064209640542 10.3064193725586 1.59149558243143e-06 1.54417894799515e-07 TRUE
3 0.5 FALSE 139.598012726383 139.598068237305 5.55109215838456e-05 3.9764820734827e-07 TRUE
4 1.5 FALSE -25.8567622588295 -25.8568420410156 7.97821860913928e-05 3.08553480602301e-06 TRUE
5 1.2 FALSE -36.8192929136218 -36.819216410319 7.65033028216067e-05 2.07780909753869e-06 TRUE
6 0.6 FALSE 114.775309669877 114.775329589844 1.99199665047445e-05 1.73556169047213e-07 TRUE
7 0.5 FALSE 5.76488350435922 5.76493835449219 5.48501329706852e-05 9.51443529798451e-06 TRUE
8 0.6 FALSE 6.18836353181377 6.18830871582031 5.48159934554704e-05 8.85799270410252e-06 TRUE
9 0.7 FALSE -3.90717233200259 -3.90718078613281 8.45413022076968e-06 2.1637417574264e-06 TRUE
10 1 FALSE -8.7335421985057 -8.73350524902344 3.69494822667349e-05 4.2307734653124e-06 TRUE
11 -0.4 FALSE -8.98893815553765 -8.98886108398438 7.70715532709687e-05 8.57411773870758e-06 TRUE
12 0.5 FALSE 27.24829406024 27.2484588623047 0.000164802064720249 6.04812424633066e-06 TRUE
13 -0.3 FALSE -8.1655170852118 -8.16554260253906 2.55173272591946e-05 3.12500081149048e-06 TRUE
14 0.3 FALSE -6.42467650143608 -6.42460632324219 7.01781938934332e-05 1.0923345394651e-05 TRUE
15 0.9 FALSE -4.74594777747246 -4.74592590332031 2.18741521464949e-05 4.60903785522472e-06 TRUE

--- Hessian Check ---
Pass: FALSE
Max error: 1.74e+00

Summary of relative errors:
     Min.   1st Qu.    Median      Mean   3rd Qu.      Max. 
0.0000000 0.0000001 0.0000023 0.2962477 0.4649377 1.7388684 

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

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 0.864709662375387 0.0627519484259016 0.864710013198014 0.0627520026850767 -2.15595437302422 -2.15594691823532
T1_int 2 2.0124208212078 1.97329388783556 0.043180089661337 1.97329378679614 0.0431801055393884 -0.618482091489331 -0.618484204016126
T1_sigma 0.5 1.09246916380297 0.575059187875727 0.0339144788166277 0.575059145656856 0.0339144977766613 2.21319007381964 2.21318759166499
T2_int 1.5 1.49010426404457 1.43792697884821 0.0518759493241212 1.43792685351224 0.05187596961372 -1.1965664621182 -1.19656841019021
T2_lambda 1.2 0.5 1.3335388068696 0.0598686584777955 1.33353859284029 0.0598686709189373 2.2305294667514 2.2305254282512
T2_sigma 0.6 1.34068690388344 0.51357479468338 0.0570767130163958 0.513574791150878 0.0570767520492185 -1.51419380600621 -1.51419283239164
c1_int 0.5 0.550842527539624 0.465885723327283 0 0.465885515775368 0 -Inf -Inf
c1_beta1 0.6 0.618769477147005 0.605487147945983 0.0443709793160502 0.605486903029954 0.0443709632908412 0.123665243151346 0.123659768078246
c1_loading 0.7 0.5 0.88094998759562 0.093110429460383 0.880948639970553 0.0931104341213259 1.94339118232305 1.94337661163486
c2_int 1 0.957056837086335 0.92854328410667 0 0.928543230199007 0 -Inf -Inf
c2_beta1 -0.4 -0.49812496341803 -0.465558105747506 0 -0.465558320039865 0 -Inf -Inf
c2_loading 0.5 0.5 0.781801133617346 0.117123495185584 0.781799980356695 0.11712351664805 2.40601711185982 2.40600682443209
c3_int -0.3 -0.164119198520855 -0.40025969425231 0.0539408014865405 -0.400260022878492 0.0539408132418571 -1.85869863793788 -1.85870432521941
c3_beta1 0.3 0.0275448694365602 0.26168855427946 0.0518091237945595 0.26168854620625 0.0518091228955616 -0.739472952147532 -0.739473120804992
c3_loading 0.9 0.5 1.08918451150577 0.0786411294901366 1.08918270700909 0.078641096206589 2.40566879865957 2.40564687084356

Likelihood comparison:
source loglik convergence
True parameters -2717.60973523243 NA
Est (default init) -2711.24308813081 1
Est (true init) -2711.2430881311 1

--- Overall Result ---
Test passed: FALSE
