======================================================================
WP3 HOURGLASS ANALYSIS: HG-M1_D1_A1e-4
  description: (none)
  matrix generation step: 2
======================================================================

[1] Native K (HG-M1_D1_A1e-4_STIF2.mtx):
    BC-penalty entries           = 144 / 576
    penalty-overwritten DOFs     = 24 / 24
    directly observed entries    = 432 / 576
    recovered ||K||_F            = 1.234567e+06
    HG-M1_D1_A1e-4 translation residuals = 1.234e-12, 2.345e-12, 3.456e-12
    BS-0 baseline ||K||_F       = 1.200000e+06

[2] UEL log: 4 calls
    seq= 1  kstep=1 kinc=1  lflags=[1, 1, 1]  ||amatrx||=1.2345e+06
    seq= 2  kstep=1 kinc=2  lflags=[1, 1, 1]  ||amatrx||=1.2345e+06
    seq= 3  kstep=2 kinc=1  lflags=[1, 1, 3]  ||amatrx||=1.2345e+06
    seq= 4  kstep=2 kinc=2  lflags=[1, 1, 1]  ||amatrx||=1.2345e+06

[3] Matrix generation call #3 (lflags=[1, 1, 3]):
    ||K_uel||_F                         = 1.234567e+06
    observed-entry error (432 entries) = 5.000000e-08
    recovered-full-matrix error         = 8.000000e-08
    max|ΔK| (observed)                  = 3.000000e-06
    UEL asymmetry ||K-K^T||/||K||       = 2.000e-13

  Top 5 recovered-full-matrix differences:
    (1,1) <-> (1,1): native=+1.000000e+05  uel=+1.000001e+05  delta=+1.000000e-01
    (5,5) <-> (5,5): native=+1.000000e+05  uel=+1.000001e+05  delta=+1.000000e-01
    (3,3) <-> (3,3): native=+1.000000e+05  uel=+1.000001e+05  delta=+1.000000e-01
    (7,7) <-> (7,7): native=+1.000000e+05  uel=+1.000001e+05  delta=+1.000000e-01
    (2,2) <-> (2,2): native=+5.000000e+04  uel=+5.000001e+04  delta=+5.000000e-02

======================================================================
[4] R/A/H block projection (current-configuration basis)
    block      ||native||          ||UEL||            ||delta||     relative
    RR       1.000000e+06    1.000000e+06      1.000000e-01  8.10e-08 (+/- 0.00e+00)
    RA       5.000000e+05    5.000000e+05      5.000000e-02  4.05e-08 (+/- 0.00e+00)
    RH       1.000000e+05    1.000000e+05      1.000000e-02  8.10e-09 (+/- 0.00e+00)
    AR       5.000000e+05    5.000000e+05      5.000000e-02  4.05e-08 (+/- 0.00e+00)
    AA       2.000000e+05    2.000000e+05      2.000000e-02  1.62e-08 (+/- 0.00e+00)
    AH       5.000000e+04    5.000000e+04      1.000000e-02  8.10e-09 (+/- 0.00e+00)
    HR       1.000000e+05    1.000000e+05      1.000000e-02  8.10e-09 (+/- 0.00e+00)
    HA       5.000000e+04    5.000000e+04      1.000000e-02  8.10e-09 (+/- 0.00e+00)
    HH       1.000000e+04    1.000000e+04      1.000000e-03  8.10e-10 (+/- 0.00e+00)

    full ||delta K||_F         = 5.000000e-01
    error-energy contributions:
      RR:    4.000%
      RA:    1.000%
      RH:    0.010%
      AR:    1.000%
      AA:    0.040%
      AH:    0.010%
      HR:    0.010%
      HA:    0.010%
      HH:    0.001%

======================================================================
SUMMARY
======================================================================
  Case: HG-M1_D1_A1e-4
  Matrix generation call: #3
  Recovered-full relative error: 8.000000e-08
  K_AA relative error: 1.62e-08 (+/- 0.00e+00)
  K_HH relative error: 8.10e-10 (+/- 0.00e+00)
  Native ||K||_F          = 1.234567e+06
  UEL ||K||_F             = 1.234567e+06
  RESULT: PASS — UEL matches native within numerical tolerance
