Depth-utility ladder: trainable-block sweep (BP/FA/DFA) on ResMLP CIFAR-10HEADmaster

Appendix experiment triangulating the depth-utility diagnostic (D3) by varying
the number of trainable residual blocks k (last-k trainable, first L-k frozen at
init; embed/LN/head always trained).

- d=256 L=4 and d=512 L=2, 3 seeds, recipe identical to the main audit.
- BP climbs monotonically (+22-23pp); DFA peaks at the frozen baseline (k=0) and
  declines once any deep block is trained; FA shows partial/no net depth utility.
- Cross-checks reproduce existing anchors (BP 0.617, DFA 0.301, FA 0.402, frozen 0.349).
- frozen_init_identity_check quantifies frozen stack as a near-norm-preserving
  random feature map (per-block ||f||/||h||~0.10, stack cos 0.981), explaining the
  above-chance k=0 rung.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

1 files changed, 1103 insertions, 0 deletions

diff --git a/logs/depth_ladder.log b/logs/depth_ladder.log
new file mode 100644
index 0000000..20af1ab
--- /dev/null
+++ b/logs/depth_ladder.log
@@ -0,0 +1,1103 @@
+[Sun Jun 14 11:29:47 AM CDT 2026] START primary d=256 L=4 ladder
+Device=cuda:0  ladder_d256_L4_cifar10  methods=['bp', 'fa', 'dfa']  k=[0, 1, 2, 3, 4]  seeds=[42, 123, 456]  epochs=100
+
+=== BP  k=0 (last 0 of 4 trainable)  seed=42 ===
+  trainable blocks: []  trainable params: 789,770
+    [BP k] ep 1: test=0.3543
+    [BP k] ep 10: test=0.3673
+    [BP k] ep 20: test=0.3483
+    [BP k] ep 30: test=0.3498
+    [BP k] ep 40: test=0.3608
+    [BP k] ep 50: test=0.3627
+    [BP k] ep 60: test=0.3697
+    [BP k] ep 70: test=0.3803
+    [BP k] ep 80: test=0.3821
+    [BP k] ep 90: test=0.3870
+    [BP k] ep 100: test=0.3882
+  FINAL bp k=0 seed=42: 0.3882
+
+=== BP  k=0 (last 0 of 4 trainable)  seed=123 ===
+  trainable blocks: []  trainable params: 789,770
+    [BP k] ep 1: test=0.3535
+    [BP k] ep 10: test=0.3654
+    [BP k] ep 20: test=0.3612
+    [BP k] ep 30: test=0.3586
+    [BP k] ep 40: test=0.3633
+    [BP k] ep 50: test=0.3608
+    [BP k] ep 60: test=0.3772
+    [BP k] ep 70: test=0.3791
+    [BP k] ep 80: test=0.3897
+    [BP k] ep 90: test=0.3884
+    [BP k] ep 100: test=0.3899
+  FINAL bp k=0 seed=123: 0.3899
+
+=== BP  k=0 (last 0 of 4 trainable)  seed=456 ===
+  trainable blocks: []  trainable params: 789,770
+    [BP k] ep 1: test=0.3551
+    [BP k] ep 10: test=0.3680
+    [BP k] ep 20: test=0.3509
+    [BP k] ep 30: test=0.3655
+    [BP k] ep 40: test=0.3573
+    [BP k] ep 50: test=0.3543
+    [BP k] ep 60: test=0.3716
+    [BP k] ep 70: test=0.3824
+    [BP k] ep 80: test=0.3852
+    [BP k] ep 90: test=0.3891
+    [BP k] ep 100: test=0.3878
+  FINAL bp k=0 seed=456: 0.3878
+
+=== BP  k=1 (last 1 of 4 trainable)  seed=42 ===
+  trainable blocks: [3]  trainable params: 921,866
+    [BP k] ep 1: test=0.3736
+    [BP k] ep 10: test=0.4890
+    [BP k] ep 20: test=0.5089
+    [BP k] ep 30: test=0.5260
+    [BP k] ep 40: test=0.5365
+    [BP k] ep 50: test=0.5486
+    [BP k] ep 60: test=0.5524
+    [BP k] ep 70: test=0.5638
+    [BP k] ep 80: test=0.5666
+    [BP k] ep 90: test=0.5678
+    [BP k] ep 100: test=0.5683
+  FINAL bp k=1 seed=42: 0.5683
+
+=== BP  k=1 (last 1 of 4 trainable)  seed=123 ===
+  trainable blocks: [3]  trainable params: 921,866
+    [BP k] ep 1: test=0.3878
+    [BP k] ep 10: test=0.4797
+    [BP k] ep 20: test=0.5096
+    [BP k] ep 30: test=0.5209
+    [BP k] ep 40: test=0.5280
+    [BP k] ep 50: test=0.5486
+    [BP k] ep 60: test=0.5530
+    [BP k] ep 70: test=0.5564
+    [BP k] ep 80: test=0.5609
+    [BP k] ep 90: test=0.5611
+    [BP k] ep 100: test=0.5623
+  FINAL bp k=1 seed=123: 0.5623
+
+=== BP  k=1 (last 1 of 4 trainable)  seed=456 ===
+  trainable blocks: [3]  trainable params: 921,866
+    [BP k] ep 1: test=0.3772
+    [BP k] ep 10: test=0.4853
+    [BP k] ep 20: test=0.5098
+    [BP k] ep 30: test=0.5238
+    [BP k] ep 40: test=0.5387
+    [BP k] ep 50: test=0.5488
+    [BP k] ep 60: test=0.5547
+    [BP k] ep 70: test=0.5588
+    [BP k] ep 80: test=0.5636
+    [BP k] ep 90: test=0.5637
+    [BP k] ep 100: test=0.5643
+  FINAL bp k=1 seed=456: 0.5643
+
+=== BP  k=2 (last 2 of 4 trainable)  seed=42 ===
+  trainable blocks: [2, 3]  trainable params: 1,053,962
+    [BP k] ep 1: test=0.3874
+    [BP k] ep 10: test=0.5157
+    [BP k] ep 20: test=0.5361
+    [BP k] ep 30: test=0.5600
+    [BP k] ep 40: test=0.5753
+    [BP k] ep 50: test=0.5802
+    [BP k] ep 60: test=0.5843
+    [BP k] ep 70: test=0.5965
+    [BP k] ep 80: test=0.5970
+    [BP k] ep 90: test=0.5979
+    [BP k] ep 100: test=0.5994
+  FINAL bp k=2 seed=42: 0.5994
+
+=== BP  k=2 (last 2 of 4 trainable)  seed=123 ===
+  trainable blocks: [2, 3]  trainable params: 1,053,962
+    [BP k] ep 1: test=0.3925
+    [BP k] ep 10: test=0.5148
+    [BP k] ep 20: test=0.5376
+    [BP k] ep 30: test=0.5638
+    [BP k] ep 40: test=0.5693
+    [BP k] ep 50: test=0.5784
+    [BP k] ep 60: test=0.5927
+    [BP k] ep 70: test=0.5911
+    [BP k] ep 80: test=0.5973
+    [BP k] ep 90: test=0.5986
+    [BP k] ep 100: test=0.6000
+  FINAL bp k=2 seed=123: 0.6000
+
+=== BP  k=2 (last 2 of 4 trainable)  seed=456 ===
+  trainable blocks: [2, 3]  trainable params: 1,053,962
+    [BP k] ep 1: test=0.3868
+    [BP k] ep 10: test=0.5103
+    [BP k] ep 20: test=0.5420
+    [BP k] ep 30: test=0.5610
+    [BP k] ep 40: test=0.5699
+    [BP k] ep 50: test=0.5789
+    [BP k] ep 60: test=0.5809
+    [BP k] ep 70: test=0.5844
+    [BP k] ep 80: test=0.5919
+    [BP k] ep 90: test=0.5919
+    [BP k] ep 100: test=0.5939
+  FINAL bp k=2 seed=456: 0.5939
+
+=== BP  k=3 (last 3 of 4 trainable)  seed=42 ===
+  trainable blocks: [1, 2, 3]  trainable params: 1,186,058
+    [BP k] ep 1: test=0.3904
+    [BP k] ep 10: test=0.5218
+    [BP k] ep 20: test=0.5469
+    [BP k] ep 30: test=0.5749
+    [BP k] ep 40: test=0.5935
+    [BP k] ep 50: test=0.5950
+    [BP k] ep 60: test=0.5983
+    [BP k] ep 70: test=0.6015
+    [BP k] ep 80: test=0.6070
+    [BP k] ep 90: test=0.6057
+    [BP k] ep 100: test=0.6079
+  FINAL bp k=3 seed=42: 0.6079
+
+=== BP  k=3 (last 3 of 4 trainable)  seed=123 ===
+  trainable blocks: [1, 2, 3]  trainable params: 1,186,058
+    [BP k] ep 1: test=0.3965
+    [BP k] ep 10: test=0.5240
+    [BP k] ep 20: test=0.5517
+    [BP k] ep 30: test=0.5747
+    [BP k] ep 40: test=0.5774
+    [BP k] ep 50: test=0.5927
+    [BP k] ep 60: test=0.6035
+    [BP k] ep 70: test=0.6030
+    [BP k] ep 80: test=0.6057
+    [BP k] ep 90: test=0.6073
+    [BP k] ep 100: test=0.6069
+  FINAL bp k=3 seed=123: 0.6069
+
+=== BP  k=3 (last 3 of 4 trainable)  seed=456 ===
+  trainable blocks: [1, 2, 3]  trainable params: 1,186,058
+    [BP k] ep 1: test=0.3947
+    [BP k] ep 10: test=0.5148
+    [BP k] ep 20: test=0.5536
+    [BP k] ep 30: test=0.5723
+    [BP k] ep 40: test=0.5873
+    [BP k] ep 50: test=0.5861
+    [BP k] ep 60: test=0.5991
+    [BP k] ep 70: test=0.5989
+    [BP k] ep 80: test=0.6062
+    [BP k] ep 90: test=0.6093
+    [BP k] ep 100: test=0.6080
+  FINAL bp k=3 seed=456: 0.6080
+
+=== BP  k=4 (last 4 of 4 trainable)  seed=42 ===
+  trainable blocks: [0, 1, 2, 3]  trainable params: 1,318,154
+    [BP k] ep 1: test=0.3936
+    [BP k] ep 10: test=0.5235
+    [BP k] ep 20: test=0.5606
+    [BP k] ep 30: test=0.5794
+    [BP k] ep 40: test=0.5992
+    [BP k] ep 50: test=0.6044
+    [BP k] ep 60: test=0.5979
+    [BP k] ep 70: test=0.6115
+    [BP k] ep 80: test=0.6153
+    [BP k] ep 90: test=0.6177
+    [BP k] ep 100: test=0.6173
+  FINAL bp k=4 seed=42: 0.6173
+
+=== BP  k=4 (last 4 of 4 trainable)  seed=123 ===
+  trainable blocks: [0, 1, 2, 3]  trainable params: 1,318,154
+    [BP k] ep 1: test=0.3981
+    [BP k] ep 10: test=0.5257
+    [BP k] ep 20: test=0.5580
+    [BP k] ep 30: test=0.5779
+    [BP k] ep 40: test=0.5896
+    [BP k] ep 50: test=0.6023
+    [BP k] ep 60: test=0.6053
+    [BP k] ep 70: test=0.6081
+    [BP k] ep 80: test=0.6185
+    [BP k] ep 90: test=0.6174
+    [BP k] ep 100: test=0.6182
+  FINAL bp k=4 seed=123: 0.6182
+
+=== BP  k=4 (last 4 of 4 trainable)  seed=456 ===
+  trainable blocks: [0, 1, 2, 3]  trainable params: 1,318,154
+    [BP k] ep 1: test=0.3967
+    [BP k] ep 10: test=0.5255
+    [BP k] ep 20: test=0.5632
+    [BP k] ep 30: test=0.5747
+    [BP k] ep 40: test=0.5948
+    [BP k] ep 50: test=0.5954
+    [BP k] ep 60: test=0.6092
+    [BP k] ep 70: test=0.6140
+    [BP k] ep 80: test=0.6125
+    [BP k] ep 90: test=0.6145
+    [BP k] ep 100: test=0.6145
+  FINAL bp k=4 seed=456: 0.6145
+
+=== FA  k=0 (last 0 of 4 trainable)  seed=42 ===
+  trainable blocks: []  trainable params: 789,770
+    [FA k] ep 1: test=0.3112
+    [FA k] ep 10: test=0.3389
+    [FA k] ep 20: test=0.3325
+    [FA k] ep 30: test=0.3495
+    [FA k] ep 40: test=0.3467
+    [FA k] ep 50: test=0.3465
+    [FA k] ep 60: test=0.3573
+    [FA k] ep 70: test=0.3542
+    [FA k] ep 80: test=0.3567
+    [FA k] ep 90: test=0.3554
+    [FA k] ep 100: test=0.3555
+  FINAL fa k=0 seed=42: 0.3555
+
+=== FA  k=0 (last 0 of 4 trainable)  seed=123 ===
+  trainable blocks: []  trainable params: 789,770
+    [FA k] ep 1: test=0.3257
+    [FA k] ep 10: test=0.3409
+    [FA k] ep 20: test=0.3514
+    [FA k] ep 30: test=0.3357
+    [FA k] ep 40: test=0.3299
+    [FA k] ep 50: test=0.3495
+    [FA k] ep 60: test=0.3468
+    [FA k] ep 70: test=0.3548
+    [FA k] ep 80: test=0.3509
+    [FA k] ep 90: test=0.3536
+    [FA k] ep 100: test=0.3520
+  FINAL fa k=0 seed=123: 0.3520
+
+=== FA  k=0 (last 0 of 4 trainable)  seed=456 ===
+  trainable blocks: []  trainable params: 789,770
+    [FA k] ep 1: test=0.3172
+    [FA k] ep 10: test=0.3374
+    [FA k] ep 20: test=0.3452
+    [FA k] ep 30: test=0.3431
+    [FA k] ep 40: test=0.3468
+    [FA k] ep 50: test=0.3563
+    [FA k] ep 60: test=0.3523
+    [FA k] ep 70: test=0.3578
+    [FA k] ep 80: test=0.3568
+    [FA k] ep 90: test=0.3576
+    [FA k] ep 100: test=0.3578
+  FINAL fa k=0 seed=456: 0.3578
+
+=== FA  k=1 (last 1 of 4 trainable)  seed=42 ===
+  trainable blocks: [3]  trainable params: 921,866
+    [FA k] ep 1: test=0.2886
+    [FA k] ep 10: test=0.3301
+    [FA k] ep 20: test=0.3604
+    [FA k] ep 30: test=0.3595
+    [FA k] ep 40: test=0.3678
+    [FA k] ep 50: test=0.3779
+    [FA k] ep 60: test=0.3727
+    [FA k] ep 70: test=0.3810
+    [FA k] ep 80: test=0.3810
+    [FA k] ep 90: test=0.3821
+    [FA k] ep 100: test=0.3819
+  FINAL fa k=1 seed=42: 0.3819
+
+=== FA  k=1 (last 1 of 4 trainable)  seed=123 ===
+  trainable blocks: [3]  trainable params: 921,866
+    [FA k] ep 1: test=0.3105
+    [FA k] ep 10: test=0.3472
+    [FA k] ep 20: test=0.3444
+    [FA k] ep 30: test=0.3604
+    [FA k] ep 40: test=0.3615
+    [FA k] ep 50: test=0.3568
+    [FA k] ep 60: test=0.3708
+    [FA k] ep 70: test=0.3723
+    [FA k] ep 80: test=0.3749
+    [FA k] ep 90: test=0.3736
+    [FA k] ep 100: test=0.3742
+  FINAL fa k=1 seed=123: 0.3742
+
+=== FA  k=1 (last 1 of 4 trainable)  seed=456 ===
+  trainable blocks: [3]  trainable params: 921,866
+    [FA k] ep 1: test=0.2975
+    [FA k] ep 10: test=0.3481
+    [FA k] ep 20: test=0.3454
+    [FA k] ep 30: test=0.3683
+    [FA k] ep 40: test=0.3618
+    [FA k] ep 50: test=0.3675
+    [FA k] ep 60: test=0.3826
+    [FA k] ep 70: test=0.3867
+    [FA k] ep 80: test=0.3863
+    [FA k] ep 90: test=0.3899
+    [FA k] ep 100: test=0.3898
+  FINAL fa k=1 seed=456: 0.3898
+
+=== FA  k=2 (last 2 of 4 trainable)  seed=42 ===
+  trainable blocks: [2, 3]  trainable params: 1,053,962
+    [FA k] ep 1: test=0.2657
+    [FA k] ep 10: test=0.3431
+    [FA k] ep 20: test=0.3494
+    [FA k] ep 30: test=0.3436
+    [FA k] ep 40: test=0.3574
+    [FA k] ep 50: test=0.3388
+    [FA k] ep 60: test=0.3426
+    [FA k] ep 70: test=0.3341
+    [FA k] ep 80: test=0.3303
+    [FA k] ep 90: test=0.3310
+    [FA k] ep 100: test=0.3305
+  FINAL fa k=2 seed=42: 0.3305
+
+=== FA  k=2 (last 2 of 4 trainable)  seed=123 ===
+  trainable blocks: [2, 3]  trainable params: 1,053,962
+    [FA k] ep 1: test=0.2982
+    [FA k] ep 10: test=0.3524
+    [FA k] ep 20: test=0.3694
+    [FA k] ep 30: test=0.3691
+    [FA k] ep 40: test=0.3703
+    [FA k] ep 50: test=0.3605
+    [FA k] ep 60: test=0.3546
+    [FA k] ep 70: test=0.3547
+    [FA k] ep 80: test=0.3651
+    [FA k] ep 90: test=0.3565
+    [FA k] ep 100: test=0.3607
+  FINAL fa k=2 seed=123: 0.3607
+
+=== FA  k=2 (last 2 of 4 trainable)  seed=456 ===
+  trainable blocks: [2, 3]  trainable params: 1,053,962
+    [FA k] ep 1: test=0.2753
+    [FA k] ep 10: test=0.3386
+    [FA k] ep 20: test=0.3495
+    [FA k] ep 30: test=0.3458
+    [FA k] ep 40: test=0.3374
+    [FA k] ep 50: test=0.3333
+    [FA k] ep 60: test=0.3523
+    [FA k] ep 70: test=0.3538
+    [FA k] ep 80: test=0.3519
+    [FA k] ep 90: test=0.3555
+    [FA k] ep 100: test=0.3548
+  FINAL fa k=2 seed=456: 0.3548
+
+=== FA  k=3 (last 3 of 4 trainable)  seed=42 ===
+  trainable blocks: [1, 2, 3]  trainable params: 1,186,058
+    [FA k] ep 1: test=0.2770
+    [FA k] ep 10: test=0.3554
+    [FA k] ep 20: test=0.3681
+    [FA k] ep 30: test=0.3841
+    [FA k] ep 40: test=0.3829
+    [FA k] ep 50: test=0.3847
+    [FA k] ep 60: test=0.3885
+    [FA k] ep 70: test=0.3956
+    [FA k] ep 80: test=0.3947
+    [FA k] ep 90: test=0.3916
+    [FA k] ep 100: test=0.3930
+  FINAL fa k=3 seed=42: 0.3930
+
+=== FA  k=3 (last 3 of 4 trainable)  seed=123 ===
+  trainable blocks: [1, 2, 3]  trainable params: 1,186,058
+    [FA k] ep 1: test=0.2905
+    [FA k] ep 10: test=0.3495
+    [FA k] ep 20: test=0.3804
+    [FA k] ep 30: test=0.3820
+    [FA k] ep 40: test=0.3885
+    [FA k] ep 50: test=0.3950
+    [FA k] ep 60: test=0.3971
+    [FA k] ep 70: test=0.4049
+    [FA k] ep 80: test=0.4047
+    [FA k] ep 90: test=0.4075
+    [FA k] ep 100: test=0.4074
+  FINAL fa k=3 seed=123: 0.4074
+
+=== FA  k=3 (last 3 of 4 trainable)  seed=456 ===
+  trainable blocks: [1, 2, 3]  trainable params: 1,186,058
+    [FA k] ep 1: test=0.2708
+    [FA k] ep 10: test=0.3511
+    [FA k] ep 20: test=0.3662
+    [FA k] ep 30: test=0.3755
+    [FA k] ep 40: test=0.3818
+    [FA k] ep 50: test=0.3828
+    [FA k] ep 60: test=0.3966
+    [FA k] ep 70: test=0.3939
+    [FA k] ep 80: test=0.3928
+    [FA k] ep 90: test=0.3933
+    [FA k] ep 100: test=0.3946
+  FINAL fa k=3 seed=456: 0.3946
+
+=== FA  k=4 (last 4 of 4 trainable)  seed=42 ===
+  trainable blocks: [0, 1, 2, 3]  trainable params: 1,318,154
+    [FA k] ep 1: test=0.2789
+    [FA k] ep 10: test=0.3498
+    [FA k] ep 20: test=0.3601
+    [FA k] ep 30: test=0.3710
+    [FA k] ep 40: test=0.3834
+    [FA k] ep 50: test=0.3923
+    [FA k] ep 60: test=0.3912
+    [FA k] ep 70: test=0.3945
+    [FA k] ep 80: test=0.3957
+    [FA k] ep 90: test=0.3944
+    [FA k] ep 100: test=0.3959
+  FINAL fa k=4 seed=42: 0.3959
+
+=== FA  k=4 (last 4 of 4 trainable)  seed=123 ===
+  trainable blocks: [0, 1, 2, 3]  trainable params: 1,318,154
+    [FA k] ep 1: test=0.2905
+    [FA k] ep 10: test=0.3596
+    [FA k] ep 20: test=0.3803
+    [FA k] ep 30: test=0.3792
+    [FA k] ep 40: test=0.3955
+    [FA k] ep 50: test=0.3980
+    [FA k] ep 60: test=0.4071
+    [FA k] ep 70: test=0.4034
+    [FA k] ep 80: test=0.4076
+    [FA k] ep 90: test=0.4115
+    [FA k] ep 100: test=0.4122
+  FINAL fa k=4 seed=123: 0.4122
+
+=== FA  k=4 (last 4 of 4 trainable)  seed=456 ===
+  trainable blocks: [0, 1, 2, 3]  trainable params: 1,318,154
+    [FA k] ep 1: test=0.2713
+    [FA k] ep 10: test=0.3544
+    [FA k] ep 20: test=0.3702
+    [FA k] ep 30: test=0.3799
+    [FA k] ep 40: test=0.3845
+    [FA k] ep 50: test=0.3923
+    [FA k] ep 60: test=0.3992
+    [FA k] ep 70: test=0.3974
+    [FA k] ep 80: test=0.3990
+    [FA k] ep 90: test=0.4000
+    [FA k] ep 100: test=0.3987
+  FINAL fa k=4 seed=456: 0.3987
+
+=== DFA  k=0 (last 0 of 4 trainable)  seed=42 ===
+  trainable blocks: []  trainable params: 789,770
+    [DFA k] ep 1: test=0.3185
+    [DFA k] ep 10: test=0.3370
+    [DFA k] ep 20: test=0.3458
+    [DFA k] ep 30: test=0.3425
+    [DFA k] ep 40: test=0.3419
+    [DFA k] ep 50: test=0.3425
+    [DFA k] ep 60: test=0.3420
+    [DFA k] ep 70: test=0.3466
+    [DFA k] ep 80: test=0.3458
+    [DFA k] ep 90: test=0.3470
+    [DFA k] ep 100: test=0.3454
+  FINAL dfa k=0 seed=42: 0.3454
+
+=== DFA  k=0 (last 0 of 4 trainable)  seed=123 ===
+  trainable blocks: []  trainable params: 789,770
+    [DFA k] ep 1: test=0.3219
+    [DFA k] ep 10: test=0.3339
+    [DFA k] ep 20: test=0.3453
+    [DFA k] ep 30: test=0.3352
+    [DFA k] ep 40: test=0.3322
+    [DFA k] ep 50: test=0.3291
+    [DFA k] ep 60: test=0.3428
+    [DFA k] ep 70: test=0.3447
+    [DFA k] ep 80: test=0.3465
+    [DFA k] ep 90: test=0.3464
+    [DFA k] ep 100: test=0.3498
+  FINAL dfa k=0 seed=123: 0.3498
+
+=== DFA  k=0 (last 0 of 4 trainable)  seed=456 ===
+  trainable blocks: []  trainable params: 789,770
+    [DFA k] ep 1: test=0.3241
+    [DFA k] ep 10: test=0.3486
+    [DFA k] ep 20: test=0.3396
+    [DFA k] ep 30: test=0.3396
+    [DFA k] ep 40: test=0.3387
+    [DFA k] ep 50: test=0.3456
+    [DFA k] ep 60: test=0.3508
+    [DFA k] ep 70: test=0.3527
+    [DFA k] ep 80: test=0.3498
+    [DFA k] ep 90: test=0.3508
+    [DFA k] ep 100: test=0.3516
+  FINAL dfa k=0 seed=456: 0.3516
+
+=== DFA  k=1 (last 1 of 4 trainable)  seed=42 ===
+  trainable blocks: [3]  trainable params: 921,866
+    [DFA k] ep 1: test=0.2563
+    [DFA k] ep 10: test=0.2580
+    [DFA k] ep 20: test=0.2445
+    [DFA k] ep 30: test=0.2197
+    [DFA k] ep 40: test=0.2229
+    [DFA k] ep 50: test=0.1952
+    [DFA k] ep 60: test=0.2306
+    [DFA k] ep 70: test=0.2290
+    [DFA k] ep 80: test=0.2211
+    [DFA k] ep 90: test=0.2215
+    [DFA k] ep 100: test=0.2267
+  FINAL dfa k=1 seed=42: 0.2267
+
+=== DFA  k=1 (last 1 of 4 trainable)  seed=123 ===
+  trainable blocks: [3]  trainable params: 921,866
+    [DFA k] ep 1: test=0.2549
+    [DFA k] ep 10: test=0.2505
+    [DFA k] ep 20: test=0.2453
+    [DFA k] ep 30: test=0.2358
+    [DFA k] ep 40: test=0.2499
+    [DFA k] ep 50: test=0.2506
+    [DFA k] ep 60: test=0.2467
+    [DFA k] ep 70: test=0.2513
+    [DFA k] ep 80: test=0.2597
+    [DFA k] ep 90: test=0.2586
+    [DFA k] ep 100: test=0.2563
+  FINAL dfa k=1 seed=123: 0.2563
+
+=== DFA  k=1 (last 1 of 4 trainable)  seed=456 ===
+  trainable blocks: [3]  trainable params: 921,866
+    [DFA k] ep 1: test=0.2112
+    [DFA k] ep 10: test=0.2227
+    [DFA k] ep 20: test=0.2397
+    [DFA k] ep 30: test=0.2326
+    [DFA k] ep 40: test=0.2285
+    [DFA k] ep 50: test=0.2176
+    [DFA k] ep 60: test=0.2431
+    [DFA k] ep 70: test=0.2476
+    [DFA k] ep 80: test=0.2493
+    [DFA k] ep 90: test=0.2477
+    [DFA k] ep 100: test=0.2476
+  FINAL dfa k=1 seed=456: 0.2476
+
+=== DFA  k=2 (last 2 of 4 trainable)  seed=42 ===
+  trainable blocks: [2, 3]  trainable params: 1,053,962
+    [DFA k] ep 1: test=0.2792
+    [DFA k] ep 10: test=0.2893
+    [DFA k] ep 20: test=0.2978
+    [DFA k] ep 30: test=0.2960
+    [DFA k] ep 40: test=0.3010
+    [DFA k] ep 50: test=0.3014
+    [DFA k] ep 60: test=0.3005
+    [DFA k] ep 70: test=0.3036
+    [DFA k] ep 80: test=0.2997
+    [DFA k] ep 90: test=0.3005
+    [DFA k] ep 100: test=0.3005
+  FINAL dfa k=2 seed=42: 0.3005
+
+=== DFA  k=2 (last 2 of 4 trainable)  seed=123 ===
+  trainable blocks: [2, 3]  trainable params: 1,053,962
+    [DFA k] ep 1: test=0.2671
+    [DFA k] ep 10: test=0.2947
+    [DFA k] ep 20: test=0.2841
+    [DFA k] ep 30: test=0.2801
+    [DFA k] ep 40: test=0.2819
+    [DFA k] ep 50: test=0.2772
+    [DFA k] ep 60: test=0.2834
+    [DFA k] ep 70: test=0.2876
+    [DFA k] ep 80: test=0.2757
+    [DFA k] ep 90: test=0.2806
+    [DFA k] ep 100: test=0.2819
+  FINAL dfa k=2 seed=123: 0.2819
+
+=== DFA  k=2 (last 2 of 4 trainable)  seed=456 ===
+  trainable blocks: [2, 3]  trainable params: 1,053,962
+    [DFA k] ep 1: test=0.2604
+    [DFA k] ep 10: test=0.2821
+    [DFA k] ep 20: test=0.2784
+    [DFA k] ep 30: test=0.2826
+    [DFA k] ep 40: test=0.2805
+    [DFA k] ep 50: test=0.2675
+    [DFA k] ep 60: test=0.2735
+    [DFA k] ep 70: test=0.2765
+    [DFA k] ep 80: test=0.2735
+    [DFA k] ep 90: test=0.2759
+    [DFA k] ep 100: test=0.2751
+  FINAL dfa k=2 seed=456: 0.2751
+
+=== DFA  k=3 (last 3 of 4 trainable)  seed=42 ===
+  trainable blocks: [1, 2, 3]  trainable params: 1,186,058
+    [DFA k] ep 1: test=0.2821
+    [DFA k] ep 10: test=0.2882
+    [DFA k] ep 20: test=0.2921
+    [DFA k] ep 30: test=0.3064
+    [DFA k] ep 40: test=0.3009
+    [DFA k] ep 50: test=0.3044
+    [DFA k] ep 60: test=0.3041
+    [DFA k] ep 70: test=0.3075
+    [DFA k] ep 80: test=0.3064
+    [DFA k] ep 90: test=0.3021
+    [DFA k] ep 100: test=0.3047
+  FINAL dfa k=3 seed=42: 0.3047
+
+=== DFA  k=3 (last 3 of 4 trainable)  seed=123 ===
+  trainable blocks: [1, 2, 3]  trainable params: 1,186,058
+    [DFA k] ep 1: test=0.2630
+    [DFA k] ep 10: test=0.2910
+    [DFA k] ep 20: test=0.2845
+    [DFA k] ep 30: test=0.2821
+    [DFA k] ep 40: test=0.2900
+    [DFA k] ep 50: test=0.2811
+    [DFA k] ep 60: test=0.2860
+    [DFA k] ep 70: test=0.2910
+    [DFA k] ep 80: test=0.2879
+    [DFA k] ep 90: test=0.2910
+    [DFA k] ep 100: test=0.2906
+  FINAL dfa k=3 seed=123: 0.2906
+
+=== DFA  k=3 (last 3 of 4 trainable)  seed=456 ===
+  trainable blocks: [1, 2, 3]  trainable params: 1,186,058
+    [DFA k] ep 1: test=0.2544
+    [DFA k] ep 10: test=0.2841
+    [DFA k] ep 20: test=0.2892
+    [DFA k] ep 30: test=0.2998
+    [DFA k] ep 40: test=0.2891
+    [DFA k] ep 50: test=0.2844
+    [DFA k] ep 60: test=0.2938
+    [DFA k] ep 70: test=0.2928
+    [DFA k] ep 80: test=0.2901
+    [DFA k] ep 90: test=0.2932
+    [DFA k] ep 100: test=0.2919
+  FINAL dfa k=3 seed=456: 0.2919
+
+=== DFA  k=4 (last 4 of 4 trainable)  seed=42 ===
+  trainable blocks: [0, 1, 2, 3]  trainable params: 1,318,154
+    [DFA k] ep 1: test=0.2899
+    [DFA k] ep 10: test=0.2873
+    [DFA k] ep 20: test=0.3016
+    [DFA k] ep 30: test=0.3053
+    [DFA k] ep 40: test=0.3120
+    [DFA k] ep 50: test=0.3045
+    [DFA k] ep 60: test=0.3071
+    [DFA k] ep 70: test=0.3102
+    [DFA k] ep 80: test=0.3080
+    [DFA k] ep 90: test=0.3066
+    [DFA k] ep 100: test=0.3068
+  FINAL dfa k=4 seed=42: 0.3068
+
+=== DFA  k=4 (last 4 of 4 trainable)  seed=123 ===
+  trainable blocks: [0, 1, 2, 3]  trainable params: 1,318,154
+    [DFA k] ep 1: test=0.2683
+    [DFA k] ep 10: test=0.2926
+    [DFA k] ep 20: test=0.2861
+    [DFA k] ep 30: test=0.2875
+    [DFA k] ep 40: test=0.2978
+    [DFA k] ep 50: test=0.2910
+    [DFA k] ep 60: test=0.2972
+    [DFA k] ep 70: test=0.3011
+    [DFA k] ep 80: test=0.2974
+    [DFA k] ep 90: test=0.3015
+    [DFA k] ep 100: test=0.3023
+  FINAL dfa k=4 seed=123: 0.3023
+
+=== DFA  k=4 (last 4 of 4 trainable)  seed=456 ===
+  trainable blocks: [0, 1, 2, 3]  trainable params: 1,318,154
+    [DFA k] ep 1: test=0.2591
+    [DFA k] ep 10: test=0.2883
+    [DFA k] ep 20: test=0.2948
+    [DFA k] ep 30: test=0.2995
+    [DFA k] ep 40: test=0.2921
+    [DFA k] ep 50: test=0.2956
+    [DFA k] ep 60: test=0.2960
+    [DFA k] ep 70: test=0.2943
+    [DFA k] ep 80: test=0.2910
+    [DFA k] ep 90: test=0.2955
+    [DFA k] ep 100: test=0.2949
+  FINAL dfa k=4 seed=456: 0.2949
+
+============================================================
+SUMMARY  ladder_d256_L4_cifar10  (mean ± ddof-1 std over seeds)
+============================================================
+  BP    k=0: 0.3886±0.0011   k=1: 0.5650±0.0031   k=2: 0.5978±0.0034   k=3: 0.6076±0.0006   k=4: 0.6167±0.0019
+  FA    k=0: 0.3551±0.0029   k=1: 0.3820±0.0078   k=2: 0.3487±0.0160   k=3: 0.3983±0.0079   k=4: 0.4023±0.0087
+  DFA   k=0: 0.3489±0.0032   k=1: 0.2435±0.0152   k=2: 0.2858±0.0131   k=3: 0.2957±0.0078   k=4: 0.3013±0.0060
+
+Saved -> results/depth_ladder/ladder_d256_L4_cifar10.json
+[Sun Jun 14 03:26:20 PM CDT 2026] START secondary d=512 L=2 FA-failure ladder
+Device=cuda:0  ladder_d512_L2_cifar10  methods=['bp', 'fa', 'dfa']  k=[0, 1, 2]  seeds=[42, 123, 456]  epochs=100
+
+=== BP  k=0 (last 0 of 2 trainable)  seed=42 ===
+  trainable blocks: []  trainable params: 1,579,530
+    [BP k] ep 1: test=0.3462
+    [BP k] ep 10: test=0.3633
+    [BP k] ep 20: test=0.3635
+    [BP k] ep 30: test=0.3543
+    [BP k] ep 40: test=0.3673
+    [BP k] ep 50: test=0.3633
+    [BP k] ep 60: test=0.3695
+    [BP k] ep 70: test=0.3753
+    [BP k] ep 80: test=0.3858
+    [BP k] ep 90: test=0.3887
+    [BP k] ep 100: test=0.3891
+  FINAL bp k=0 seed=42: 0.3891
+
+=== BP  k=0 (last 0 of 2 trainable)  seed=123 ===
+  trainable blocks: []  trainable params: 1,579,530
+    [BP k] ep 1: test=0.3497
+    [BP k] ep 10: test=0.3704
+    [BP k] ep 20: test=0.3698
+    [BP k] ep 30: test=0.3540
+    [BP k] ep 40: test=0.3505
+    [BP k] ep 50: test=0.3634
+    [BP k] ep 60: test=0.3675
+    [BP k] ep 70: test=0.3739
+    [BP k] ep 80: test=0.3823
+    [BP k] ep 90: test=0.3845
+    [BP k] ep 100: test=0.3846
+  FINAL bp k=0 seed=123: 0.3846
+
+=== BP  k=0 (last 0 of 2 trainable)  seed=456 ===
+  trainable blocks: []  trainable params: 1,579,530
+    [BP k] ep 1: test=0.3409
+    [BP k] ep 10: test=0.3578
+    [BP k] ep 20: test=0.3767
+    [BP k] ep 30: test=0.3607
+    [BP k] ep 40: test=0.3551
+    [BP k] ep 50: test=0.3632
+    [BP k] ep 60: test=0.3722
+    [BP k] ep 70: test=0.3704
+    [BP k] ep 80: test=0.3784
+    [BP k] ep 90: test=0.3834
+    [BP k] ep 100: test=0.3838
+  FINAL bp k=0 seed=456: 0.3838
+
+=== BP  k=1 (last 1 of 2 trainable)  seed=42 ===
+  trainable blocks: [1]  trainable params: 2,105,866
+    [BP k] ep 1: test=0.3667
+    [BP k] ep 10: test=0.4836
+    [BP k] ep 20: test=0.5197
+    [BP k] ep 30: test=0.5367
+    [BP k] ep 40: test=0.5444
+    [BP k] ep 50: test=0.5629
+    [BP k] ep 60: test=0.5691
+    [BP k] ep 70: test=0.5779
+    [BP k] ep 80: test=0.5808
+    [BP k] ep 90: test=0.5849
+    [BP k] ep 100: test=0.5856
+  FINAL bp k=1 seed=42: 0.5856
+
+=== BP  k=1 (last 1 of 2 trainable)  seed=123 ===
+  trainable blocks: [1]  trainable params: 2,105,866
+    [BP k] ep 1: test=0.3632
+    [BP k] ep 10: test=0.4865
+    [BP k] ep 20: test=0.5175
+    [BP k] ep 30: test=0.5360
+    [BP k] ep 40: test=0.5466
+    [BP k] ep 50: test=0.5606
+    [BP k] ep 60: test=0.5716
+    [BP k] ep 70: test=0.5749
+    [BP k] ep 80: test=0.5806
+    [BP k] ep 90: test=0.5817
+    [BP k] ep 100: test=0.5819
+  FINAL bp k=1 seed=123: 0.5819
+
+=== BP  k=1 (last 1 of 2 trainable)  seed=456 ===
+  trainable blocks: [1]  trainable params: 2,105,866
+    [BP k] ep 1: test=0.3696
+    [BP k] ep 10: test=0.4737
+    [BP k] ep 20: test=0.5199
+    [BP k] ep 30: test=0.5317
+    [BP k] ep 40: test=0.5498
+    [BP k] ep 50: test=0.5610
+    [BP k] ep 60: test=0.5675
+    [BP k] ep 70: test=0.5767
+    [BP k] ep 80: test=0.5785
+    [BP k] ep 90: test=0.5802
+    [BP k] ep 100: test=0.5809
+  FINAL bp k=1 seed=456: 0.5809
+
+=== BP  k=2 (last 2 of 2 trainable)  seed=42 ===
+  trainable blocks: [0, 1]  trainable params: 2,632,202
+    [BP k] ep 1: test=0.3790
+    [BP k] ep 10: test=0.5174
+    [BP k] ep 20: test=0.5471
+    [BP k] ep 30: test=0.5712
+    [BP k] ep 40: test=0.5906
+    [BP k] ep 50: test=0.5969
+    [BP k] ep 60: test=0.5977
+    [BP k] ep 70: test=0.5992
+    [BP k] ep 80: test=0.6072
+    [BP k] ep 90: test=0.6037
+    [BP k] ep 100: test=0.6039
+  FINAL bp k=2 seed=42: 0.6039
+
+=== BP  k=2 (last 2 of 2 trainable)  seed=123 ===
+  trainable blocks: [0, 1]  trainable params: 2,632,202
+    [BP k] ep 1: test=0.3732
+    [BP k] ep 10: test=0.5161
+    [BP k] ep 20: test=0.5554
+    [BP k] ep 30: test=0.5756
+    [BP k] ep 40: test=0.5811
+    [BP k] ep 50: test=0.5928
+    [BP k] ep 60: test=0.5965
+    [BP k] ep 70: test=0.6016
+    [BP k] ep 80: test=0.6027
+    [BP k] ep 90: test=0.6007
+    [BP k] ep 100: test=0.6020
+  FINAL bp k=2 seed=123: 0.6020
+
+=== BP  k=2 (last 2 of 2 trainable)  seed=456 ===
+  trainable blocks: [0, 1]  trainable params: 2,632,202
+    [BP k] ep 1: test=0.3768
+    [BP k] ep 10: test=0.5097
+    [BP k] ep 20: test=0.5499
+    [BP k] ep 30: test=0.5773
+    [BP k] ep 40: test=0.5858
+    [BP k] ep 50: test=0.5845
+    [BP k] ep 60: test=0.5934
+    [BP k] ep 70: test=0.5985
+    [BP k] ep 80: test=0.6011
+    [BP k] ep 90: test=0.6020
+    [BP k] ep 100: test=0.6045
+  FINAL bp k=2 seed=456: 0.6045
+
+=== FA  k=0 (last 0 of 2 trainable)  seed=42 ===
+  trainable blocks: []  trainable params: 1,579,530
+    [FA k] ep 1: test=0.3288
+    [FA k] ep 10: test=0.3359
+    [FA k] ep 20: test=0.3336
+    [FA k] ep 30: test=0.3328
+    [FA k] ep 40: test=0.3418
+    [FA k] ep 50: test=0.3504
+    [FA k] ep 60: test=0.3564
+    [FA k] ep 70: test=0.3567
+    [FA k] ep 80: test=0.3543
+    [FA k] ep 90: test=0.3574
+    [FA k] ep 100: test=0.3585
+  FINAL fa k=0 seed=42: 0.3585
+
+=== FA  k=0 (last 0 of 2 trainable)  seed=123 ===
+  trainable blocks: []  trainable params: 1,579,530
+    [FA k] ep 1: test=0.3125
+    [FA k] ep 10: test=0.3374
+    [FA k] ep 20: test=0.3364
+    [FA k] ep 30: test=0.3453
+    [FA k] ep 40: test=0.3437
+    [FA k] ep 50: test=0.3522
+    [FA k] ep 60: test=0.3587
+    [FA k] ep 70: test=0.3550
+    [FA k] ep 80: test=0.3551
+    [FA k] ep 90: test=0.3558
+    [FA k] ep 100: test=0.3584
+  FINAL fa k=0 seed=123: 0.3584
+
+=== FA  k=0 (last 0 of 2 trainable)  seed=456 ===
+  trainable blocks: []  trainable params: 1,579,530
+    [FA k] ep 1: test=0.3180
+    [FA k] ep 10: test=0.3311
+    [FA k] ep 20: test=0.3344
+    [FA k] ep 30: test=0.3533
+    [FA k] ep 40: test=0.3476
+    [FA k] ep 50: test=0.3523
+    [FA k] ep 60: test=0.3455
+    [FA k] ep 70: test=0.3569
+    [FA k] ep 80: test=0.3562
+    [FA k] ep 90: test=0.3583
+    [FA k] ep 100: test=0.3590
+  FINAL fa k=0 seed=456: 0.3590
+
+=== FA  k=1 (last 1 of 2 trainable)  seed=42 ===
+  trainable blocks: [1]  trainable params: 2,105,866
+    [FA k] ep 1: test=0.3235
+    [FA k] ep 10: test=0.3730
+    [FA k] ep 20: test=0.3734
+    [FA k] ep 30: test=0.3829
+    [FA k] ep 40: test=0.3916
+    [FA k] ep 50: test=0.4008
+    [FA k] ep 60: test=0.4012
+    [FA k] ep 70: test=0.4015
+    [FA k] ep 80: test=0.4042
+    [FA k] ep 90: test=0.4082
+    [FA k] ep 100: test=0.4083
+  FINAL fa k=1 seed=42: 0.4083
+
+=== FA  k=1 (last 1 of 2 trainable)  seed=123 ===
+  trainable blocks: [1]  trainable params: 2,105,866
+    [FA k] ep 1: test=0.2930
+    [FA k] ep 10: test=0.3662
+    [FA k] ep 20: test=0.3905
+    [FA k] ep 30: test=0.4027
+    [FA k] ep 40: test=0.3948
+    [FA k] ep 50: test=0.4048
+    [FA k] ep 60: test=0.4067
+    [FA k] ep 70: test=0.4094
+    [FA k] ep 80: test=0.4115
+    [FA k] ep 90: test=0.4103
+    [FA k] ep 100: test=0.4134
+  FINAL fa k=1 seed=123: 0.4134
+
+=== FA  k=1 (last 1 of 2 trainable)  seed=456 ===
+  trainable blocks: [1]  trainable params: 2,105,866
+    [FA k] ep 1: test=0.3098
+    [FA k] ep 10: test=0.3561
+    [FA k] ep 20: test=0.3860
+    [FA k] ep 30: test=0.3957
+    [FA k] ep 40: test=0.3907
+    [FA k] ep 50: test=0.4032
+    [FA k] ep 60: test=0.4017
+    [FA k] ep 70: test=0.4125
+    [FA k] ep 80: test=0.4123
+    [FA k] ep 90: test=0.4164
+    [FA k] ep 100: test=0.4155
+  FINAL fa k=1 seed=456: 0.4155
+
+=== FA  k=2 (last 2 of 2 trainable)  seed=42 ===
+  trainable blocks: [0, 1]  trainable params: 2,632,202
+    [FA k] ep 1: test=0.3028
+    [FA k] ep 10: test=0.3585
+    [FA k] ep 20: test=0.3523
+    [FA k] ep 30: test=0.3315
+    [FA k] ep 40: test=0.3191
+    [FA k] ep 50: test=0.3397
+    [FA k] ep 60: test=0.3566
+    [FA k] ep 70: test=0.3527
+    [FA k] ep 80: test=0.3554
+    [FA k] ep 90: test=0.3593
+    [FA k] ep 100: test=0.3582
+  FINAL fa k=2 seed=42: 0.3582
+
+=== FA  k=2 (last 2 of 2 trainable)  seed=123 ===
+  trainable blocks: [0, 1]  trainable params: 2,632,202
+    [FA k] ep 1: test=0.2794
+    [FA k] ep 10: test=0.3627
+    [FA k] ep 20: test=0.3600
+    [FA k] ep 30: test=0.3750
+    [FA k] ep 40: test=0.3482
+    [FA k] ep 50: test=0.3679
+    [FA k] ep 60: test=0.3630
+    [FA k] ep 70: test=0.3643
+    [FA k] ep 80: test=0.3636
+    [FA k] ep 90: test=0.3618
+    [FA k] ep 100: test=0.3621
+  FINAL fa k=2 seed=123: 0.3621
+
+=== FA  k=2 (last 2 of 2 trainable)  seed=456 ===
+  trainable blocks: [0, 1]  trainable params: 2,632,202
+    [FA k] ep 1: test=0.3005
+    [FA k] ep 10: test=0.3573
+    [FA k] ep 20: test=0.3624
+    [FA k] ep 30: test=0.3706
+    [FA k] ep 40: test=0.3529
+    [FA k] ep 50: test=0.3648
+    [FA k] ep 60: test=0.3581
+    [FA k] ep 70: test=0.3645
+    [FA k] ep 80: test=0.3652
+    [FA k] ep 90: test=0.3632
+    [FA k] ep 100: test=0.3642
+  FINAL fa k=2 seed=456: 0.3642
+
+=== DFA  k=0 (last 0 of 2 trainable)  seed=42 ===
+  trainable blocks: []  trainable params: 1,579,530
+    [DFA k] ep 1: test=0.3196
+    [DFA k] ep 10: test=0.3187
+    [DFA k] ep 20: test=0.3369
+    [DFA k] ep 30: test=0.3221
+    [DFA k] ep 40: test=0.3386
+    [DFA k] ep 50: test=0.3401
+    [DFA k] ep 60: test=0.3473
+    [DFA k] ep 70: test=0.3472
+    [DFA k] ep 80: test=0.3426
+    [DFA k] ep 90: test=0.3445
+    [DFA k] ep 100: test=0.3432
+  FINAL dfa k=0 seed=42: 0.3432
+
+=== DFA  k=0 (last 0 of 2 trainable)  seed=123 ===
+  trainable blocks: []  trainable params: 1,579,530
+    [DFA k] ep 1: test=0.3089
+    [DFA k] ep 10: test=0.3180
+    [DFA k] ep 20: test=0.3301
+    [DFA k] ep 30: test=0.3434
+    [DFA k] ep 40: test=0.3386
+    [DFA k] ep 50: test=0.3343
+    [DFA k] ep 60: test=0.3489
+    [DFA k] ep 70: test=0.3458
+    [DFA k] ep 80: test=0.3499
+    [DFA k] ep 90: test=0.3508
+    [DFA k] ep 100: test=0.3508
+  FINAL dfa k=0 seed=123: 0.3508
+
+=== DFA  k=0 (last 0 of 2 trainable)  seed=456 ===
+  trainable blocks: []  trainable params: 1,579,530
+    [DFA k] ep 1: test=0.3238
+    [DFA k] ep 10: test=0.3327
+    [DFA k] ep 20: test=0.3395
+    [DFA k] ep 30: test=0.3457
+    [DFA k] ep 40: test=0.3367
+    [DFA k] ep 50: test=0.3496
+    [DFA k] ep 60: test=0.3453
+    [DFA k] ep 70: test=0.3487
+    [DFA k] ep 80: test=0.3491
+    [DFA k] ep 90: test=0.3498
+    [DFA k] ep 100: test=0.3521
+  FINAL dfa k=0 seed=456: 0.3521
+
+=== DFA  k=1 (last 1 of 2 trainable)  seed=42 ===
+  trainable blocks: [1]  trainable params: 2,105,866
+    [DFA k] ep 1: test=0.2687
+    [DFA k] ep 10: test=0.2106
+    [DFA k] ep 20: test=0.2293
+    [DFA k] ep 30: test=0.2297
+    [DFA k] ep 40: test=0.2241
+    [DFA k] ep 50: test=0.2318
+    [DFA k] ep 60: test=0.2417
+    [DFA k] ep 70: test=0.2458
+    [DFA k] ep 80: test=0.2463
+    [DFA k] ep 90: test=0.2438
+    [DFA k] ep 100: test=0.2384
+  FINAL dfa k=1 seed=42: 0.2384
+
+=== DFA  k=1 (last 1 of 2 trainable)  seed=123 ===
+  trainable blocks: [1]  trainable params: 2,105,866
+    [DFA k] ep 1: test=0.1958
+    [DFA k] ep 10: test=0.1777
+    [DFA k] ep 20: test=0.2220
+    [DFA k] ep 30: test=0.1852
+    [DFA k] ep 40: test=0.2165
+    [DFA k] ep 50: test=0.2095
+    [DFA k] ep 60: test=0.1995
+    [DFA k] ep 70: test=0.2038
+    [DFA k] ep 80: test=0.2068
+    [DFA k] ep 90: test=0.2173
+    [DFA k] ep 100: test=0.2097
+  FINAL dfa k=1 seed=123: 0.2097
+
+=== DFA  k=1 (last 1 of 2 trainable)  seed=456 ===
+  trainable blocks: [1]  trainable params: 2,105,866
+    [DFA k] ep 1: test=0.2118
+    [DFA k] ep 10: test=0.2074
+    [DFA k] ep 20: test=0.1777
+    [DFA k] ep 30: test=0.2043
+    [DFA k] ep 40: test=0.2010
+    [DFA k] ep 50: test=0.2087
+    [DFA k] ep 60: test=0.2073
+    [DFA k] ep 70: test=0.2126
+    [DFA k] ep 80: test=0.2202
+    [DFA k] ep 90: test=0.2355
+    [DFA k] ep 100: test=0.2295
+  FINAL dfa k=1 seed=456: 0.2295
+
+=== DFA  k=2 (last 2 of 2 trainable)  seed=42 ===
+  trainable blocks: [0, 1]  trainable params: 2,632,202
+    [DFA k] ep 1: test=0.2769
+    [DFA k] ep 10: test=0.2705
+    [DFA k] ep 20: test=0.3000
+    [DFA k] ep 30: test=0.2988
+    [DFA k] ep 40: test=0.3080
+    [DFA k] ep 50: test=0.2941
+    [DFA k] ep 60: test=0.3025
+    [DFA k] ep 70: test=0.3075
+    [DFA k] ep 80: test=0.3070
+    [DFA k] ep 90: test=0.3063
+    [DFA k] ep 100: test=0.3069
+  FINAL dfa k=2 seed=42: 0.3069
+
+=== DFA  k=2 (last 2 of 2 trainable)  seed=123 ===
+  trainable blocks: [0, 1]  trainable params: 2,632,202
+    [DFA k] ep 1: test=0.2582
+    [DFA k] ep 10: test=0.2772
+    [DFA k] ep 20: test=0.2904
+    [DFA k] ep 30: test=0.3072
+    [DFA k] ep 40: test=0.2898
+    [DFA k] ep 50: test=0.2938
+    [DFA k] ep 60: test=0.2892
+    [DFA k] ep 70: test=0.2974
+    [DFA k] ep 80: test=0.2970
+    [DFA k] ep 90: test=0.3035
+    [DFA k] ep 100: test=0.3025
+  FINAL dfa k=2 seed=123: 0.3025
+
+=== DFA  k=2 (last 2 of 2 trainable)  seed=456 ===
+  trainable blocks: [0, 1]  trainable params: 2,632,202
+    [DFA k] ep 1: test=0.2794
+    [DFA k] ep 10: test=0.2888
+    [DFA k] ep 20: test=0.2884
+    [DFA k] ep 30: test=0.2901
+    [DFA k] ep 40: test=0.2784
+    [DFA k] ep 50: test=0.2817
+    [DFA k] ep 60: test=0.2983
+    [DFA k] ep 70: test=0.2920
+    [DFA k] ep 80: test=0.2904
+    [DFA k] ep 90: test=0.2999
+    [DFA k] ep 100: test=0.2963
+  FINAL dfa k=2 seed=456: 0.2963
+
+============================================================
+SUMMARY  ladder_d512_L2_cifar10  (mean ± ddof-1 std over seeds)
+============================================================
+  BP    k=0: 0.3858±0.0029   k=1: 0.5828±0.0025   k=2: 0.6035±0.0013
+  FA    k=0: 0.3586±0.0003   k=1: 0.4124±0.0037   k=2: 0.3615±0.0030
+  DFA   k=0: 0.3487±0.0048   k=1: 0.2259±0.0147   k=2: 0.3019±0.0053
+
+Saved -> results/depth_ladder/ladder_d512_L2_cifar10.json
+[Sun Jun 14 05:49:05 PM CDT 2026] ALL DONE