OUTPUT of run 10 of at most 60:
```
=== FEATURE RESCALING VERSUS DIRECTION CHANGES ===
Angles compare WEIGHT vectors. P=d outer u is the gate-conditional linear weight map.
P radial% is the fraction of its difference parallel to its midpoint.
 L unit gate_deg value_deg write_deg gate_B/A   P_B/A      P_rel   P_radial%
10 1363  0.05194   0.12766   1.68524  1.000025   1.002458   0.029598      0.688
10 1564  0.07668   0.17593   0.75310  0.999778   0.998515   0.013579      1.197
10 1529  0.06470   0.28158   1.94236  0.999918   1.001489   0.034285      0.188
 4   13  0.23296   0.27903   0.05230  0.998891   1.000834   0.005024      2.752
 4  937  0.14219   0.60912   3.30283  0.999687   1.130340   0.135377     81.467
 4 1804  0.11258   0.51583   8.26086  1.000137   0.862280   0.205821     51.627
 4 1044  0.15346   0.26722   3.15839  1.000169   0.999334   0.055318      0.015
 6 1824  0.02700   0.04181   0.04673  0.999997   0.995955   0.004198     93.205
14  641  0.05934   0.27466   1.38441  0.999860   1.002750   0.024785      1.228
16  893  0.05145   0.34676   0.73482  0.999986   0.998251   0.014289      1.501
 1 1725  0.17453   0.30686   2.98115  1.000158   0.973155   0.058945     21.320
 1 2035  0.28816   0.27566   3.48323  1.000187   0.985447   0.062709      5.470
 5  584  0.34532   0.26086   0.02530  1.000515   1.000500   0.004601      1.179
 8 1500  0.13045   0.29537   1.21827  0.999911   0.979609   0.030048     47.003
13   16  0.09768   0.27618   0.66411  1.000131   1.000490   0.012563      0.152
 7 1300  0.05497   0.29520   2.21891  0.999982   1.017893   0.042900     17.094
17 1312  0.09878   0.49414   1.74544  1.000185   1.000143   0.031660      0.002

=== OUTPUT-PROJECTION DIFFERENCE SPECTRA ===
Each covariance is normalized to trace one; layers receive equal weight.
 L raw_top1 raw_top8 raw_PR scaled_top1 scaled_top8 scaled_PR
 0  0.05075  0.24761   69.77     0.76914     0.88409      1.68
 1  0.04752  0.25624   69.74     0.68796     0.82726      2.10
 2  0.06412  0.28987   57.52     0.54187     0.73762      3.32
 3  0.06413  0.30696   55.01     0.51076     0.77511      3.47
 4  0.08364  0.30649   51.84     0.77693     0.95669      1.59
 5  0.07733  0.30176   54.05     0.80472     0.92963      1.52
 6  0.08584  0.31404   49.81     0.78422     0.88575      1.62
 7  0.09036  0.31662   48.36     0.64826     0.77323      2.36
 8  0.08396  0.31119   50.83     0.51862     0.70890      3.61
 9  0.09066  0.31211   49.30     0.23007     0.51279     14.28
10  0.09574  0.34857   43.25     0.10894     0.45210     27.14
11  0.11405  0.34565   39.52     0.13344     0.39536     30.23
12  0.07708  0.28940   56.57     0.07488     0.30587     51.41
13  0.05823  0.25944   68.38     0.06152     0.28351     58.93
14  0.04828  0.26790   66.75     0.05544     0.29159     57.67
15  0.06456  0.32172   52.47     0.06923     0.34720     45.42
16  0.07962  0.40297   36.54     0.08853     0.43845     31.35
17  0.12628  0.45527   26.28     0.10936     0.45003     27.68

=== RAW CROSS-LAYER OUTPUT-DIRECTION CHECK ===
Pooled top1/top8 energy: 0.017901935739968934 0.09661533283353763
Pooled participation: 262.6656570894684
Leading-axis coordinates (index, squared loading): [(467, 0.018384095357397323), (103, 0.01178910729774035), (90, 0.011196449278558373), (597, 0.009547687801030493), (264, 0.009138786512216187)]
Leave-one-layer-out top-8 subspace overlap:
 L observed_fraction sign_scrambled_expected observed/expected
 0          0.018516                0.012451           1.48713
 1          0.021945                0.012395           1.77052
 2          0.024206                0.012452           1.94390
 3          0.030031                0.012655           2.37305
 4          0.031564                0.012714           2.48271
 5          0.047493                0.012691           3.74230
 6          0.059091                0.012684           4.65861
 7          0.058060                0.012734           4.55961
 8          0.060648                0.012705           4.77356
 9          0.057809                0.012734           4.53991
10          0.054020                0.012735           4.24176
11          0.061150                0.012687           4.82010
12          0.050870                0.012461           4.08244
13          0.059115                0.012482           4.73610
14          0.084483                0.012528           6.74347
15          0.114013                0.012511           9.11330
16          0.143424                0.012586          11.39506
17          0.116168                0.012514           9.28295

=== SCALED CROSS-LAYER OUTPUT-DIRECTION CHECK ===
Pooled top1/top8 energy: 0.25007119206506956 0.4748496119334056
Pooled participation: 11.319246524778514
Leading-axis coordinates (index, squared loading): [(163, 0.9864105695563636), (400, 0.011242655074063199), (87, 0.00013417346650572553), (376, 0.00010848944634398087), (621, 8.073861663828557e-05)]
Leave-one-layer-out top-8 subspace overlap:
 L observed_fraction sign_scrambled_expected observed/expected
 0          0.762188                0.762144           1.00006
 1          0.685740                0.684982           1.00111
 2          0.541644                0.540856           1.00146
 3          0.654634                0.654432           1.00031
 4          0.938379                0.937248           1.00121
 5          0.889848                0.888219           1.00183
 6          0.837345                0.834587           1.00330
 7          0.674268                0.670914           1.00500
 8          0.581527                0.576336           1.00901
 9          0.307893                0.298706           1.03076
10          0.157789                0.145505           1.08443
11          0.151718                0.100370           1.51159
12          0.119337                0.052884           2.25656
13          0.111870                0.037457           2.98666
14          0.139886                0.044618           3.13517
15          0.183892                0.051874           3.54498
16          0.239705                0.068579           3.49531
17          0.194242                0.053834           3.60813

=== SELECTED UNIT WRITE-DIFFERENCE ALIGNMENT ===
Fraction in pooled top-8 output-difference subspace; no semantic interpretation.
L10 unit=1363: raw_fraction=0.131563 scaled_fraction=0.305277
L10 unit=1564: raw_fraction=0.039221 scaled_fraction=0.176095
L10 unit=1529: raw_fraction=0.073718 scaled_fraction=0.132353
L04 unit=  13: raw_fraction=0.012908 scaled_fraction=0.482671
L04 unit= 937: raw_fraction=0.009903 scaled_fraction=0.984364
L04 unit=1804: raw_fraction=0.047231 scaled_fraction=0.980256
L04 unit=1044: raw_fraction=0.051662 scaled_fraction=0.956667
L06 unit=1824: raw_fraction=0.021895 scaled_fraction=0.962294
L14 unit= 641: raw_fraction=0.093725 scaled_fraction=0.140102
L16 unit= 893: raw_fraction=0.099940 scaled_fraction=0.107688
L01 unit=1725: raw_fraction=0.053955 scaled_fraction=0.920944
L01 unit=2035: raw_fraction=0.045243 scaled_fraction=0.960946
L05 unit= 584: raw_fraction=0.030705 scaled_fraction=0.287140
L08 unit=1500: raw_fraction=0.052675 scaled_fraction=0.905001
L13 unit=  16: raw_fraction=0.068664 scaled_fraction=0.068228
L07 unit=1300: raw_fraction=0.257793 scaled_fraction=0.851459
L17 unit=1312: raw_fraction=0.252887 scaled_fraction=0.241711

Elapsed seconds: 2.44

Limits:
A nearly radial change supports a feature-strength interpretation only
conditionally on its unknown gate/value activity and output normalization.
A directional change changes the feature's conditional weight map,
but does not identify what the feature means or how it affects answer tokens.
All spectral projections and contractions were performed on weights alone.

```