=== Test: test_A_measurement_system ===
Timestamp: 2025-11-30 17:55:28.473025

--- Gradient Check ---
Pass: TRUE
Max error: 1.13e-06

param_idx param_value fixed analytical finite_diff abs_error rel_error pass
1 1 TRUE -153.999458177515 -153.999465942383 7.76486828613088e-06 5.04213974939109e-08 TRUE
2 2 FALSE 22.3962533949778 22.3962326049805 2.07899973609926e-05 9.2828100724268e-07 TRUE
3 0.5 FALSE 106.920211571564 106.920234680176 2.31086117565837e-05 2.16129452256696e-07 TRUE
4 1.5 FALSE 15.104639397595 15.1046295166016 9.88099340304416e-06 6.54169861775419e-07 TRUE
5 1.2 FALSE -67.3364465386632 -67.3364702860514 2.37473881981032e-05 3.52667552920759e-07 TRUE
6 0.6 FALSE 111.836284724033 111.836250305176 3.44188570977622e-05 3.07761186590581e-07 TRUE
7 1 FALSE -25.627862519458 -25.6278915405273 2.90210693059123e-05 1.13240175298928e-06 TRUE
8 0.8 FALSE -156.382859769499 -156.382858276367 1.49313197539414e-06 9.54792610808662e-09 TRUE
9 0.4 FALSE 226.738851459849 226.73885345459 1.99474041551184e-06 8.79752360532836e-09 TRUE

--- Hessian Check ---
Pass: FALSE
Max error: 1.87e+00

Summary of relative errors:
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
 0.0000  0.5402  0.9912  0.9041  1.2528  1.8749 

--- 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 0.911227549691037 0 0.911226158026193 0 -Inf -Inf
T1_int 2 2.04653064143634 2.08444940082966 0.0328934457251574 2.0844498470419 0.0328934306208899 2.56736255408692 2.56737729837982
T1_sigma 0.5 1.09645303516447 0.519064158700057 0 0.51906421721508 0 Inf Inf
T2_int 1.5 1.55327435805289 1.60083706492411 0.0106482189964038 1.60083766534531 0.010648245495614 9.46985265406033 9.46988547426402
T2_lambda 1.2 0.5 1.25433190286452 0 1.25433256890257 0 Inf Inf
T2_sigma 0.6 1.33117061718788 0.551962533949031 0.0129409557720801 0.551962277747235 0.0129409765205538 -3.712049318228 -3.7120631643576
T3_int 1 1.02006509578485 1.0506924171293 0.0138686717800025 1.05069277748644 0.013868682419826 3.65517462186951 3.65519780119613
T3_lambda 0.8 0.5 0.807707329530365 0.0244341890244658 0.807707688297306 0.0244343208117323 0.315432180812196 0.315445162429258
T3_sigma 0.4 0.876115012468385 0.398838420865045 0.0194776585243117 0.398838415933744 0.0194776654675468 -0.0596364872864374 -0.0596367192049732

Likelihood comparison:
source loglik convergence
True parameters -1679.09535598629 NA
Est (default init) -1675.47932746324 1
Est (true init) -1675.47932746223 1

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