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chore: sync analysis

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  1. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/algorithmic_structure/h26_generalization_gap.png +2 -2
  2. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/algorithmic_structure/metrics.json +209 -368
  3. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/algorithmic_structure/out.txt +196 -344
  4. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/answer_construction/f20_answer_decodability_by_layer.png +2 -2
  5. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/answer_construction/metrics.json +0 -0
  6. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/answer_construction/out.txt +0 -0
  7. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/attention/out.txt +35 -36
  8. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/basic/out.txt +33 -33
  9. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/carry_borrow/c12_carry_borrow_by_layer.png +2 -2
  10. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/carry_borrow/metrics.json +755 -275
  11. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/carry_borrow/out.txt +195 -216
  12. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/information_flow/i28_answer_refinement_by_layer.png +2 -2
  13. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/information_flow/i29_operand_compression.png +2 -2
  14. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/information_flow/metrics.json +1881 -681
  15. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/information_flow/out.txt +0 -0
  16. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/neuron_characterization/neuron_characterization.json +0 -0
  17. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/neuron_characterization/out.txt +0 -0
  18. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/operand_interaction/g23_interaction_profile.png +2 -2
  19. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/operand_interaction/g24_interaction_comparison.png +1 -1
  20. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/operand_interaction/metrics.json +0 -0
  21. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/operand_interaction/out.txt +0 -0
  22. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/operand_representations/metrics.json +0 -0
  23. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/operand_representations/out.txt +40 -41
  24. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/operation_disambiguation/out.txt +36 -36
  25. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/sign_magnitude/b9_magnitude_scaling.png +2 -2
  26. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/sign_magnitude/metrics.json +0 -0
  27. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/sign_magnitude/out.txt +66 -66
  28. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/superposition/metrics.json +7 -2
  29. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/superposition/out.txt +54 -52
  30. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/weight_analysis/fourier_phase_distribution.png +2 -2
  31. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/weight_analysis/out.txt +40 -13
  32. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/weight_analysis/weight_analysis.json +0 -0
  33. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/zeroing/combined/operation_scatter_concat.png +2 -2
  34. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/zeroing/combined/operation_scatter_div.png +2 -2
  35. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/zeroing/combined/operation_scatter_minus.png +2 -2
  36. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/zeroing/combined/operation_scatter_mod.png +2 -2
  37. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/zeroing/combined/operation_scatter_mul.png +2 -2
  38. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/zeroing/combined/operation_scatter_plus.png +2 -2
  39. Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/zeroing/out.txt +0 -0
Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/algorithmic_structure/h26_generalization_gap.png CHANGED

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Git LFS Details

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  • Size of remote file: 213 kB
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@@ -541,19 +382,19 @@
541
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225
+ "fourier_unseen": -0.22637498021125796
226
  },
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  "1": {
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  "r2_seen": 0.8438906669616699,
229
  "r2_unseen": 0.8427826523780823,
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231
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232
+ "fourier_unseen": 0.3059355223178864
233
  },
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  "2": {
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236
  "r2_unseen": 0.7061455488204956,
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+ "generalization_gap": -0.0004059314727783425,
238
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239
+ "fourier_unseen": 0.9232973551750183
240
  }
241
  },
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  "*->+": {
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  "0": {
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+ "fourier_unseen": -0.2550961875915528
249
  },
250
  "1": {
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+ "r2_seen": 0.8339666604995728,
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+ "fourier_unseen": 0.299440895318985
256
  },
257
  "2": {
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+ "r2_seen": 0.6968243241310119,
259
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+ "generalization_gap": 8.705854415891334e-05,
261
+ "fourier_seen": 0.9336620092391967,
262
+ "fourier_unseen": 0.9221840333938598
263
  }
264
  },
265
  "+->$": {
266
  "0": {
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271
+ "fourier_unseen": -0.008835682868957518
272
  },
273
  "1": {
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  "r2_seen": 0.9317444682121276,
275
  "r2_unseen": 0.9314890742301941,
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277
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278
+ "fourier_unseen": 0.15674003839492795
279
  },
280
  "2": {
281
+ "r2_seen": 0.8571507930755615,
282
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283
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284
+ "fourier_seen": 0.9515168845653534,
285
+ "fourier_unseen": 0.942494090795517
286
  }
287
  },
288
  "+->/": {
289
  "0": {
290
+ "r2_seen": 0.7593827962875366,
291
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292
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293
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294
+ "fourier_unseen": -0.024372814893722537
295
  },
296
  "1": {
297
  "r2_seen": 0.9362602591514587,
298
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299
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300
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301
+ "fourier_unseen": 0.17518590331077574
302
  },
303
  "2": {
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307
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308
+ "fourier_unseen": 0.9428972351551055
309
  }
310
  },
311
  "+->-": {
312
  "0": {
313
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314
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316
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+ "fourier_unseen": -0.008835682868957518
318
  },
319
  "1": {
320
  "r2_seen": 0.9317444682121276,
321
  "r2_unseen": 0.9314890742301941,
322
+ "generalization_gap": 0.00025539398193352714,
323
+ "fourier_seen": 0.2867348849773407,
324
+ "fourier_unseen": 0.15674003839492795
325
  },
326
  "2": {
327
+ "r2_seen": 0.8571507930755615,
328
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329
+ "generalization_gap": 1.9514560699485095e-05,
330
+ "fourier_seen": 0.9515168845653534,
331
+ "fourier_unseen": 0.942494090795517
332
  }
333
  },
334
  "+->%": {
335
  "0": {
336
+ "r2_seen": 0.7593827962875366,
337
+ "r2_unseen": 0.7575016260147095,
338
+ "generalization_gap": 0.0018811702728270818,
339
+ "fourier_seen": 0.14772410988807677,
340
+ "fourier_unseen": -0.024372814893722537
341
  },
342
  "1": {
343
  "r2_seen": 0.9362602591514587,
344
+ "r2_unseen": 0.9353974461555481,
345
+ "generalization_gap": 0.0008628129959106223,
346
+ "fourier_seen": 0.30267506241798403,
347
+ "fourier_unseen": 0.17518590331077574
348
  },
349
  "2": {
350
+ "r2_seen": 0.8625190615653991,
351
+ "r2_unseen": 0.8620572686195374,
352
+ "generalization_gap": 0.0004617929458617942,
353
+ "fourier_seen": 0.9518115818500519,
354
+ "fourier_unseen": 0.9428972351551055
355
  }
356
  },
357
  "+->*": {
358
  "0": {
359
+ "r2_seen": 0.7493779301643372,
360
+ "r2_unseen": 0.7500051498413086,
361
+ "generalization_gap": -0.0006272196769714355,
362
+ "fourier_seen": 0.15174310207366942,
363
+ "fourier_unseen": -0.008835682868957518
364
  },
365
  "1": {
366
  "r2_seen": 0.9317444682121276,
367
  "r2_unseen": 0.9314890742301941,
368
+ "generalization_gap": 0.00025539398193352714,
369
+ "fourier_seen": 0.2867348849773407,
370
+ "fourier_unseen": 0.15674003839492795
371
  },
372
  "2": {
373
+ "r2_seen": 0.8571507930755615,
374
+ "r2_unseen": 0.857131278514862,
375
+ "generalization_gap": 1.9514560699485095e-05,
376
+ "fourier_seen": 0.9515168845653534,
377
+ "fourier_unseen": 0.942494090795517
378
  }
379
  }
380
  },
 
382
  "0": {
383
  "mean_cos_sim_sub_vs_add": 0.7207801600982038,
384
  "n_matched_pairs": 19779,
385
+ "r2_add_to_sub": -25.56122589111328,
386
  "r2_sub_within": 0.7400583505630494
387
  },
388
  "1": {
389
  "mean_cos_sim_sub_vs_add": 0.46305217213441335,
390
  "n_matched_pairs": 19779,
391
+ "r2_add_to_sub": -10.41109848022461,
392
  "r2_sub_within": 0.9766110062599183
393
  },
394
  "2": {
395
  "mean_cos_sim_sub_vs_add": 0.309260485370236,
396
  "n_matched_pairs": 19779,
397
+ "r2_add_to_sub": -6.337396144866943,
398
  "r2_sub_within": 0.9568880796432495
399
  }
400
  }
Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/algorithmic_structure/out.txt CHANGED
@@ -1,387 +1,239 @@
1
  ======================================================================
2
  ALGORITHMIC STRUCTURE ANALYSIS (H25–H27)
3
  ======================================================================
4
-
5
- Loading results...
6
-
7
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=div]_[int=False].pt: 10000 results for $->/
8
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=minus]_[int=False].pt: 10000 results for $->-
9
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mod]_[int=False].pt: 10000 results for $->%
10
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mul]_[int=False].pt: 10000 results for $->*
11
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=plus]_[int=False].pt: 10000 results for $->+
12
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=concat]_[int=False].pt: 10000 results for /->$
13
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=minus]_[int=False].pt: 10000 results for /->-
14
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mod]_[int=False].pt: 10000 results for /->%
15
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mul]_[int=False].pt: 10000 results for /->*
16
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=plus]_[int=False].pt: 10000 results for /->+
17
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=concat]_[int=False].pt: 10000 results for -->$
18
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=div]_[int=False].pt: 10000 results for -->/
19
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mod]_[int=False].pt: 10000 results for -->%
20
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mul]_[int=False].pt: 10000 results for -->*
21
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=plus]_[int=False].pt: 10000 results for -->+
22
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=concat]_[int=False].pt: 10000 results for %->$
23
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=div]_[int=False].pt: 10000 results for %->/
24
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=minus]_[int=False].pt: 10000 results for %->-
25
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=mul]_[int=False].pt: 10000 results for %->*
26
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=plus]_[int=False].pt: 10000 results for %->+
27
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=concat]_[int=False].pt: 10000 results for *->$
28
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=div]_[int=False].pt: 10000 results for *->/
29
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=minus]_[int=False].pt: 10000 results for *->-
30
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=mod]_[int=False].pt: 10000 results for *->%
31
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=plus]_[int=False].pt: 10000 results for *->+
32
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=concat]_[int=False].pt: 10000 results for +->$
33
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=div]_[int=False].pt: 10000 results for +->/
34
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=minus]_[int=False].pt: 10000 results for +->-
35
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mod]_[int=False].pt: 10000 results for +->%
36
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mul]_[int=False].pt: 10000 results for +->*
37
  $->/: 10000 prompts
 
38
  $->-: 10000 prompts
 
39
  $->%: 10000 prompts
 
40
  $->*: 10000 prompts
 
41
  $->+: 10000 prompts
 
42
  /->$: 10000 prompts
 
43
  /->-: 10000 prompts
 
44
  /->%: 10000 prompts
 
45
  /->*: 10000 prompts
 
46
  /->+: 10000 prompts
 
47
  -->$: 10000 prompts
 
48
  -->/: 10000 prompts
 
49
  -->%: 10000 prompts
 
50
  -->*: 10000 prompts
 
51
  -->+: 10000 prompts
 
52
  %->$: 10000 prompts
 
53
  %->/: 10000 prompts
 
54
  %->-: 10000 prompts
 
55
  %->*: 10000 prompts
 
56
  %->+: 10000 prompts
 
57
  *->$: 10000 prompts
 
58
  *->/: 10000 prompts
 
59
  *->-: 10000 prompts
 
60
  *->%: 10000 prompts
 
61
  *->+: 10000 prompts
 
62
  +->$: 10000 prompts
 
63
  +->/: 10000 prompts
 
64
  +->-: 10000 prompts
 
65
  +->%: 10000 prompts
 
66
  +->*: 10000 prompts
67
- Layers: [0, 1, 2]
68
 
69
  Running H25 (multiplication vs addition)...
70
 
71
  Running H26 (generalization gap)...
72
-
73
 
74
  Running H27 (subtraction as a + (βˆ’b))...
75
- H25: Addition β†’ Multiplication probe transfer
76
- ┏━━━━━━━┳━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━┓
77
- ┃ Layer ┃ RΒ²(add) ┃ RΒ²(mul) ┃ addβ†’mul ┃ mulβ†’add ┃ cos-sim(matched) ┃
78
- ┑━━━━━━━╇━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━┩
79
- β”‚ L0 β”‚ 0.747 β”‚ 0.703 β”‚ -1.308 β”‚ -7078803.500 β”‚ 0.505 β”‚
80
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
81
- β”‚ L1 β”‚ 0.937 β”‚ 0.844 β”‚ -1.286 β”‚ -564492.250 β”‚ 0.324 β”‚
82
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
83
- β”‚ L2 β”‚ 0.864 β”‚ 0.707 β”‚ -1.296 β”‚ -264654.000 β”‚ 0.075 β”‚
84
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
85
- H26: Generalization gap β€” $->/
86
- ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
87
- ┃ Layer ┃ RΒ²(seen) ┃ RΒ²(unseen) ┃ Gap ┃ Verdict ┃
88
- ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
89
- β”‚ L0 β”‚ 0.996 β”‚ 0.996 β”‚ 0.000 β”‚ generalize β”‚
90
- β”œβ”€β”€β”€β”€β”€β”€β”€β”ΌοΏ½οΏ½οΏ½β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
91
- β”‚ L1 β”‚ 0.997 β”‚ 0.997 β”‚ -0.000 β”‚ generalize β”‚
92
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
93
- β”‚ L2 β”‚ 0.988 β”‚ 0.989 β”‚ -0.000 β”‚ generalize β”‚
94
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
95
- H26: Generalization gap β€” $->-
96
- ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
97
- ┃ Layer ┃ RΒ²(seen) ┃ RΒ²(unseen) ┃ Gap ┃ Verdict ┃
98
- ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
99
- β”‚ L0 β”‚ 0.996 β”‚ 0.996 β”‚ 0.000 β”‚ generalize β”‚
100
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
101
- β”‚ L1 β”‚ 0.997 β”‚ 0.997 β”‚ 0.000 β”‚ generalize β”‚
102
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
103
- β”‚ L2 β”‚ 0.988 β”‚ 0.988 β”‚ -0.000 β”‚ generalize β”‚
104
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
105
- H26: Generalization gap β€” $->%
106
- ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
107
- ┃ Layer ┃ RΒ²(seen) ┃ RΒ²(unseen) ┃ Gap ┃ Verdict ┃
108
- ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
109
- β”‚ L0 β”‚ 0.996 β”‚ 0.996 β”‚ 0.000 β”‚ generalize β”‚
110
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
111
- β”‚ L1 β”‚ 0.997 β”‚ 0.997 β”‚ -0.000 β”‚ generalize β”‚
112
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
113
- β”‚ L2 β”‚ 0.988 β”‚ 0.989 β”‚ -0.000 β”‚ generalize β”‚
114
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
115
- H26: Generalization gap β€” $->*
116
- ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
117
- ┃ Layer ┃ RΒ²(seen) ┃ RΒ²(unseen) ┃ Gap ┃ Verdict ┃
118
- ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
119
- β”‚ L0 β”‚ 0.996 β”‚ 0.996 β”‚ 0.000 β”‚ generalize β”‚
120
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
121
- β”‚ L1 β”‚ 0.997 β”‚ 0.997 β”‚ 0.000 β”‚ generalize β”‚
122
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
123
- β”‚ L2 β”‚ 0.988 β”‚ 0.988 β”‚ -0.000 β”‚ generalize β”‚
124
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
125
- H26: Generalization gap β€” $->+
126
- ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
127
- ┃ Layer ┃ RΒ²(seen) ┃ RΒ²(unseen) ┃ Gap ┃ Verdict ┃
128
- ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
129
- β”‚ L0 β”‚ 0.996 β”‚ 0.996 β”‚ 0.000 β”‚ generalize β”‚
130
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
131
- β”‚ L1 β”‚ 0.997 β”‚ 0.997 β”‚ 0.000 β”‚ generalize β”‚
132
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
133
- β”‚ L2 β”‚ 0.988 β”‚ 0.988 β”‚ -0.000 β”‚ generalize β”‚
134
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
135
- H26: Generalization gap β€” /->$
136
- ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
137
- ┃ Layer ┃ RΒ²(seen) ┃ RΒ²(unseen) ┃ Gap ┃ Verdict ┃
138
- ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
139
- β”‚ L0 β”‚ 0.286 β”‚ 0.328 β”‚ -0.041 β”‚ generalize β”‚
140
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
141
- β”‚ L1 β”‚ 0.595 β”‚ 0.650 β”‚ -0.055 β”‚ generalize β”‚
142
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
143
- β”‚ L2 β”‚ 0.449 β”‚ 0.477 β”‚ -0.028 β”‚ generalize β”‚
144
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
145
- H26: Generalization gap β€” /->-
146
- ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
147
- ┃ Layer ┃ RΒ²(seen) ┃ RΒ²(unseen) ┃ Gap ┃ Verdict ┃
148
- ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
149
- β”‚ L0 β”‚ 0.286 β”‚ 0.328 β”‚ -0.041 β”‚ generalize β”‚
150
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
151
- β”‚ L1 β”‚ 0.595 β”‚ 0.650 β”‚ -0.055 β”‚ generalize β”‚
152
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
153
- β”‚ L2 β”‚ 0.449 β”‚ 0.477 β”‚ -0.028 β”‚ generalize β”‚
154
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
155
- H26: Generalization gap β€” /->%
156
- ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
157
- ┃ Layer ┃ RΒ²(seen) ┃ RΒ²(unseen) ┃ Gap ┃ Verdict ┃
158
- ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
159
- β”‚ L0 β”‚ 0.286 β”‚ 0.328 β”‚ -0.041 β”‚ generalize β”‚
160
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
161
- β”‚ L1 β”‚ 0.595 β”‚ 0.650 β”‚ -0.055 β”‚ generalize β”‚
162
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
163
- β”‚ L2 β”‚ 0.449 β”‚ 0.477 β”‚ -0.028 β”‚ generalize β”‚
164
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
165
- H26: Generalization gap β€” /->*
166
- ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
167
- ┃ Layer ┃ RΒ²(seen) ┃ RΒ²(unseen) ┃ Gap ┃ Verdict ┃
168
- ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
169
- β”‚ L0 β”‚ 0.286 β”‚ 0.328 β”‚ -0.041 β”‚ generalize β”‚
170
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
171
- β”‚ L1 β”‚ 0.595 β”‚ 0.650 β”‚ -0.055 β”‚ generalize β”‚
172
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
173
- β”‚ L2 β”‚ 0.449 β”‚ 0.477 β”‚ -0.028 β”‚ generalize β”‚
174
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
175
- H26: Generalization gap β€” /->+
176
- ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
177
- ┃ Layer ┃ RΒ²(seen) ┃ RΒ²(unseen) ┃ Gap ┃ Verdict ┃
178
- ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
179
- β”‚ L0 β”‚ 0.286 β”‚ 0.328 β”‚ -0.041 β”‚ generalize β”‚
180
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
181
- β”‚ L1 β”‚ 0.595 β”‚ 0.650 β”‚ -0.055 β”‚ generalize β”‚
182
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
183
- β”‚ L2 β”‚ 0.449 β”‚ 0.477 β”‚ -0.028 β”‚ generalize β”‚
184
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
185
- H26: Generalization gap β€” -->$
186
- ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━┳━━━━━━━━━━━━┓
187
- ┃ Layer ┃ RΒ²(seen) ┃ RΒ²(unseen) ┃ Gap ┃ Verdict ┃
188
- ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━╇━━━━━━━━━━━━┩
189
- β”‚ L0 β”‚ 0.747 β”‚ 0.745 β”‚ 0.001 β”‚ generalize β”‚
190
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
191
- β”‚ L1 β”‚ 0.976 β”‚ 0.976 β”‚ 0.000 β”‚ generalize β”‚
192
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
193
- β”‚ L2 β”‚ 0.955 β”‚ 0.955 β”‚ 0.000 β”‚ generalize β”‚
194
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
195
- H26: Generalization gap β€” -->/
196
- ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
197
- ┃ Layer ┃ RΒ²(seen) ┃ RΒ²(unseen) ┃ Gap ┃ Verdict ┃
198
- ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
199
- β”‚ L0 β”‚ 0.736 β”‚ 0.738 β”‚ -0.001 β”‚ generalize β”‚
200
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
201
- β”‚ L1 β”‚ 0.975 β”‚ 0.975 β”‚ -0.000 β”‚ generalize β”‚
202
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
203
- β”‚ L2 β”‚ 0.954 β”‚ 0.954 β”‚ -0.000 β”‚ generalize β”‚
204
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
205
- H26: Generalization gap β€” -->%
206
- ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
207
- ┃ Layer ┃ RΒ²(seen) ┃ RΒ²(unseen) ┃ Gap ┃ Verdict ┃
208
- ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
209
- β”‚ L0 β”‚ 0.736 β”‚ 0.738 β”‚ -0.001 β”‚ generalize β”‚
210
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
211
- β”‚ L1 β”‚ 0.975 β”‚ 0.975 β”‚ -0.000 β”‚ generalize β”‚
212
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
213
- β”‚ L2 β”‚ 0.954 β”‚ 0.954 β”‚ -0.000 β”‚ generalize β”‚
214
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
215
- H26: Generalization gap β€” -->*
216
- ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━┳━━━━━━━━━━━━┓
217
- ┃ Layer ┃ RΒ²(seen) ┃ RΒ²(unseen) ┃ Gap ┃ Verdict ┃
218
- ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━╇━━━━━━━━━━━━┩
219
- β”‚ L0 β”‚ 0.747 β”‚ 0.745 β”‚ 0.001 β”‚ generalize β”‚
220
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
221
- β”‚ L1 β”‚ 0.976 β”‚ 0.976 β”‚ 0.000 β”‚ generalize β”‚
222
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
223
- β”‚ L2 β”‚ 0.955 β”‚ 0.955 β”‚ 0.000 β”‚ generalize β”‚
224
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
225
- H26: Generalization gap β€” -->+
226
- ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━┳━━━━━━━━━━━━┓
227
- ┃ Layer ┃ RΒ²(seen) ┃ RΒ²(unseen) ┃ Gap ┃ Verdict ┃
228
- ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━╇━━━━━━━━━━━━┩
229
- β”‚ L0 β”‚ 0.747 β”‚ 0.745 β”‚ 0.001 β”‚ generalize β”‚
230
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
231
- β”‚ L1 β”‚ 0.976 β”‚ 0.976 β”‚ 0.000 β”‚ generalize β”‚
232
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
233
- β”‚ L2 β”‚ 0.955 β”‚ 0.955 β”‚ 0.000 β”‚ generalize β”‚
234
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
235
- H26: Generalization gap β€” %->$
236
- ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
237
- ┃ Layer ┃ RΒ²(seen) ┃ RΒ²(unseen) ┃ Gap ┃ Verdict ┃
238
- ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
239
- β”‚ L0 β”‚ 0.335 β”‚ 0.338 β”‚ -0.003 β”‚ generalize β”‚
240
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
241
- β”‚ L1 β”‚ 0.768 β”‚ 0.771 β”‚ -0.002 β”‚ generalize β”‚
242
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
243
- β”‚ L2 β”‚ 0.863 β”‚ 0.863 β”‚ 0.000 β”‚ generalize β”‚
244
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
245
- H26: Generalization gap β€” %->/
246
- ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
247
- ┃ Layer ┃ RΒ²(seen) ┃ RΒ²(unseen) ┃ Gap ┃ Verdict ┃
248
- ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
249
- β”‚ L0 β”‚ 0.335 β”‚ 0.338 β”‚ -0.003 β”‚ generalize β”‚
250
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
251
- β”‚ L1 β”‚ 0.768 β”‚ 0.771 β”‚ -0.002 β”‚ generalize β”‚
252
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
253
- β”‚ L2 β”‚ 0.863 β”‚ 0.863 β”‚ 0.000 β”‚ generalize β”‚
254
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
255
- H26: Generalization gap β€” %->-
256
- ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
257
- ┃ Layer ┃ RΒ²(seen) ┃ RΒ²(unseen) ┃ Gap ┃ Verdict ┃
258
- ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
259
- β”‚ L0 β”‚ 0.335 β”‚ 0.338 β”‚ -0.003 β”‚ generalize β”‚
260
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
261
- β”‚ L1 β”‚ 0.768 β”‚ 0.771 β”‚ -0.002 β”‚ generalize β”‚
262
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
263
- β”‚ L2 β”‚ 0.863 β”‚ 0.863 β”‚ 0.000 β”‚ generalize β”‚
264
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
265
- H26: Generalization gap β€” %->*
266
- ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
267
- ┃ Layer ┃ RΒ²(seen) ┃ RΒ²(unseen) ┃ Gap ┃ Verdict ┃
268
- ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
269
- β”‚ L0 β”‚ 0.335 β”‚ 0.338 β”‚ -0.003 β”‚ generalize β”‚
270
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
271
- β”‚ L1 β”‚ 0.768 β”‚ 0.771 β”‚ -0.002 β”‚ generalize β”‚
272
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
273
- β”‚ L2 β”‚ 0.863 β”‚ 0.863 β”‚ 0.000 β”‚ generalize β”‚
274
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
275
- H26: Generalization gap β€” %->+
276
- ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
277
- ┃ Layer ┃ RΒ²(seen) ┃ RΒ²(unseen) ┃ Gap ┃ Verdict ┃
278
- ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
279
- β”‚ L0 β”‚ 0.335 β”‚ 0.338 β”‚ -0.003 β”‚ generalize β”‚
280
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
281
- β”‚ L1 β”‚ 0.768 β”‚ 0.771 β”‚ -0.002 β”‚ generalize β”‚
282
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
283
- β”‚ L2 β”‚ 0.863 β”‚ 0.863 β”‚ 0.000 β”‚ generalize β”‚
284
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
285
- H26: Generalization gap β€” *->$
286
- ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━┳━━━━━━━━━━━━┓
287
- ┃ Layer ┃ RΒ²(seen) ┃ RΒ²(unseen) ┃ Gap ┃ Verdict ┃
288
- ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━╇━━━━━━━━━━━━┩
289
- β”‚ L0 β”‚ 0.701 β”‚ 0.682 β”‚ 0.018 β”‚ generalize β”‚
290
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
291
- β”‚ L1 β”‚ 0.834 β”‚ 0.833 β”‚ 0.001 β”‚ generalize β”‚
292
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
293
- β”‚ L2 β”‚ 0.697 β”‚ 0.697 β”‚ 0.000 β”‚ generalize β”‚
294
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
295
- H26: Generalization gap β€” *->/
296
- ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
297
- ┃ Layer ┃ RΒ²(seen) ┃ RΒ²(unseen) ┃ Gap ┃ Verdict ┃
298
- ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
299
- β”‚ L0 β”‚ 0.714 β”‚ 0.713 β”‚ 0.001 β”‚ generalize β”‚
300
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
301
- β”‚ L1 β”‚ 0.844 β”‚ 0.843 β”‚ 0.001 β”‚ generalize β”‚
302
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
303
- β”‚ L2 β”‚ 0.706 β”‚ 0.706 β”‚ -0.000 β”‚ generalize β”‚
304
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
305
- H26: Generalization gap β€” *->-
306
- ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━┳━━━━━━━━━━━━┓
307
- ┃ Layer ┃ RΒ²(seen) ┃ RΒ²(unseen) ┃ Gap ┃ Verdict ┃
308
- ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━╇━━━━━━━━━━━━┩
309
- οΏ½οΏ½οΏ½ L0 β”‚ 0.701 β”‚ 0.682 β”‚ 0.018 β”‚ generalize β”‚
310
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
311
- β”‚ L1 β”‚ 0.834 β”‚ 0.833 β”‚ 0.001 β”‚ generalize β”‚
312
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
313
- β”‚ L2 β”‚ 0.697 β”‚ 0.697 β”‚ 0.000 β”‚ generalize β”‚
314
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
315
- H26: Generalization gap β€” *->%
316
- ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
317
- ┃ Layer ┃ RΒ²(seen) ┃ RΒ²(unseen) ┃ Gap ┃ Verdict ┃
318
- ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
319
- β”‚ L0 β”‚ 0.714 β”‚ 0.713 β”‚ 0.001 β”‚ generalize β”‚
320
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
321
- β”‚ L1 β”‚ 0.844 β”‚ 0.843 β”‚ 0.001 β”‚ generalize β”‚
322
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
323
- β”‚ L2 β”‚ 0.706 β”‚ 0.706 β”‚ -0.000 β”‚ generalize β”‚
324
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
325
- H26: Generalization gap β€” *->+
326
- ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━┳━━━━━━━━━━━━┓
327
- ┃ Layer ┃ RΒ²(seen) ┃ RΒ²(unseen) ┃ Gap ┃ Verdict ┃
328
- ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━╇━━━━━━━━━━━━┩
329
- β”‚ L0 β”‚ 0.701 β”‚ 0.682 β”‚ 0.018 β”‚ generalize β”‚
330
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
331
- β”‚ L1 β”‚ 0.834 β”‚ 0.833 β”‚ 0.001 β”‚ generalize β”‚
332
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
333
- β”‚ L2 β”‚ 0.697 β”‚ 0.697 β”‚ 0.000 β”‚ generalize β”‚
334
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
335
- H26: Generalization gap β€” +->$
336
- ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
337
- ┃ Layer ┃ RΒ²(seen) ┃ RΒ²(unseen) ┃ Gap ┃ Verdict ┃
338
- ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
339
- β”‚ L0 β”‚ 0.749 β”‚ 0.750 β”‚ -0.001 β”‚ generalize β”‚
340
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
341
- β”‚ L1 β”‚ 0.932 β”‚ 0.931 β”‚ 0.000 β”‚ generalize β”‚
342
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
343
- β”‚ L2 β”‚ 0.857 β”‚ 0.857 β”‚ 0.000 β”‚ generalize β”‚
344
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
345
- H26: Generalization gap β€” +->/
346
- ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━┳━━━━━━━━━━━━┓
347
- ┃ Layer ┃ RΒ²(seen) ┃ RΒ²(unseen) ┃ Gap ┃ Verdict ┃
348
- ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━╇━━━━━━━━━━━━┩
349
- β”‚ L0 β”‚ 0.759 β”‚ 0.758 β”‚ 0.002 β”‚ generalize β”‚
350
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
351
- β”‚ L1 β”‚ 0.936 β”‚ 0.935 β”‚ 0.001 β”‚ generalize β”‚
352
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
353
- β”‚ L2 β”‚ 0.863 β”‚ 0.862 β”‚ 0.000 β”‚ generalize β”‚
354
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
355
- H26: Generalization gap β€” +->-
356
- ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
357
- ┃ Layer ┃ RΒ²(seen) ┃ RΒ²(unseen) ┃ Gap ┃ Verdict ┃
358
- ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
359
- β”‚ L0 β”‚ 0.749 β”‚ 0.750 β”‚ -0.001 β”‚ generalize β”‚
360
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
361
- β”‚ L1 β”‚ 0.932 β”‚ 0.931 β”‚ 0.000 β”‚ generalize β”‚
362
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
363
- β”‚ L2 β”‚ 0.857 β”‚ 0.857 β”‚ 0.000 β”‚ generalize β”‚
364
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
365
- H26: Generalization gap β€” +->%
366
- ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━┳━━━━━━━━━━━━┓
367
- ┃ Layer ┃ RΒ²(seen) ┃ RΒ²(unseen) ┃ Gap ┃ Verdict ┃
368
- ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━╇━━━━━━━━━━━━┩
369
- β”‚ L0 β”‚ 0.759 β”‚ 0.758 β”‚ 0.002 β”‚ generalize β”‚
370
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
371
- β”‚ L1 β”‚ 0.936 β”‚ 0.935 β”‚ 0.001 β”‚ generalize β”‚
372
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
373
- β”‚ L2 β”‚ 0.863 β”‚ 0.862 β”‚ 0.000 β”‚ generalize β”‚
374
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
375
- H26: Generalization gap β€” +->*
376
- ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
377
- ┃ Layer ┃ RΒ²(seen) ┃ RΒ²(unseen) ┃ Gap ┃ Verdict ┃
378
- ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
379
- β”‚ L0 β”‚ 0.749 β”‚ 0.750 β”‚ -0.001 β”‚ generalize β”‚
380
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
381
- β”‚ L1 β”‚ 0.932 β”‚ 0.931 β”‚ 0.000 β”‚ generalize β”‚
382
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
383
- β”‚ L2 β”‚ 0.857 β”‚ 0.857 β”‚ 0.000 β”‚ generalize β”‚
384
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
385
  H27: Subtraction as a + (βˆ’b)? (eq_sign residuals)
386
  ┏━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━┳━━━━━━━━━━┓
387
  ┃ Layer ┃ cos-sim(sub vs add) ┃ RΒ²(sub within) ┃ RΒ²(add β†’ sub) ┃ Verdict ┃
 
1
  ======================================================================
2
  ALGORITHMIC STRUCTURE ANALYSIS (H25–H27)
3
  ======================================================================
4
+
 
 
5
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=div]_[int=False].pt: 10000 results for $->/
6
+ Layers: [0, 1, 2]
7
+
8
+ Collecting data (streaming one file at a time)...
9
+
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
10
  $->/: 10000 prompts
11
+
12
  $->-: 10000 prompts
13
+
14
  $->%: 10000 prompts
15
+
16
  $->*: 10000 prompts
17
+
18
  $->+: 10000 prompts
19
+
20
  /->$: 10000 prompts
21
+
22
  /->-: 10000 prompts
23
+
24
  /->%: 10000 prompts
25
+
26
  /->*: 10000 prompts
27
+
28
  /->+: 10000 prompts
29
+
30
  -->$: 10000 prompts
31
+
32
  -->/: 10000 prompts
33
+
34
  -->%: 10000 prompts
35
+
36
  -->*: 10000 prompts
37
+
38
  -->+: 10000 prompts
39
+
40
  %->$: 10000 prompts
41
+
42
  %->/: 10000 prompts
43
+
44
  %->-: 10000 prompts
45
+
46
  %->*: 10000 prompts
47
+
48
  %->+: 10000 prompts
49
+
50
  *->$: 10000 prompts
51
+
52
  *->/: 10000 prompts
53
+
54
  *->-: 10000 prompts
55
+
56
  *->%: 10000 prompts
57
+
58
  *->+: 10000 prompts
59
+
60
  +->$: 10000 prompts
61
+
62
  +->/: 10000 prompts
63
+
64
  +->-: 10000 prompts
65
+
66
  +->%: 10000 prompts
67
+
68
  +->*: 10000 prompts
69
+
70
 
71
  Running H25 (multiplication vs addition)...
72
 
73
  Running H26 (generalization gap)...
74
+
75
 
76
  Running H27 (subtraction as a + (βˆ’b))...
77
+ H25: Addition β†’ Multiplication probe transfer
78
+ ┏━━━━━━━┳━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━┓
79
+ ┃ Layer ┃ RΒ²(add) ┃ F(add) ┃ RΒ²(mul) ┃ F(mul) ┃ addβ†’mul ┃ mulβ†’add ┃ cos-sim(… ┃
80
+ ┑━━━━━━━╇━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━┩
81
+ β”‚ L0 β”‚ 0.747 β”‚ 0.139 β”‚ 0.703 β”‚ 0.065 β”‚ -1.308 β”‚ -707882… β”‚ 0.505 β”‚
82
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
83
+ β”‚ L1 β”‚ 0.937 β”‚ 0.323 β”‚ 0.844 β”‚ 0.431 β”‚ -1.286 β”‚ -564493… β”‚ 0.324 β”‚
84
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
85
+ β”‚ L2 β”‚ 0.864 β”‚ 0.954 β”‚ 0.707 β”‚ 0.936 β”‚ -1.296 β”‚ -264654… β”‚ 0.075 β”‚
86
+ β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
87
+ H26: Generalization gap β€” -->$
88
+ ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━┳━━━━━━━━━━━━┓
89
+ ┃ Layer ┃ RΒ²(seen) ┃ F(seen) ┃ RΒ²(unseen) ┃ F(unseen) ┃ Gap ┃ Verdict ┃
90
+ ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━╇━━━━━━━━━━━━┩
91
+ β”‚ L0 β”‚ 0.747 β”‚ 0.135 β”‚ 0.745 β”‚ -0.099 β”‚ 0.001 β”‚ generalize β”‚
92
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
93
+ β”‚ L1 β”‚ 0.976 β”‚ 0.836 β”‚ 0.976 β”‚ 0.801 β”‚ 0.000 β”‚ generalize β”‚
94
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
95
+ β”‚ L2 β”‚ 0.955 β”‚ 0.922 β”‚ 0.955 β”‚ 0.909 β”‚ 0.000 β”‚ generalize β”‚
96
+ β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
97
+ H26: Generalization gap β€” -->/
98
+ ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
99
+ ┃ Layer ┃ RΒ²(seen) ┃ F(seen) ┃ RΒ²(unseen) ┃ F(unseen) ┃ Gap ┃ Verdict ┃
100
+ ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
101
+ β”‚ L0 β”‚ 0.736 β”‚ 0.131 β”‚ 0.738 β”‚ -0.104 β”‚ -0.001 β”‚ generalize β”‚
102
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
103
+ β”‚ L1 β”‚ 0.975 β”‚ 0.839 β”‚ 0.975 β”‚ 0.806 β”‚ -0.000 β”‚ generalize β”‚
104
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
105
+ β”‚ L2 β”‚ 0.954 β”‚ 0.919 β”‚ 0.954 β”‚ 0.906 β”‚ -0.000 β”‚ generalize β”‚
106
+ β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
107
+ H26: Generalization gap β€” -->%
108
+ ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
109
+ ┃ Layer ┃ RΒ²(seen) ┃ F(seen) ┃ RΒ²(unseen) ┃ F(unseen) ┃ Gap ┃ Verdict ┃
110
+ ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
111
+ β”‚ L0 β”‚ 0.736 β”‚ 0.131 β”‚ 0.738 β”‚ -0.104 β”‚ -0.001 β”‚ generalize β”‚
112
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
113
+ β”‚ L1 β”‚ 0.975 β”‚ 0.839 β”‚ 0.975 β”‚ 0.806 β”‚ -0.000 β”‚ generalize β”‚
114
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
115
+ β”‚ L2 β”‚ 0.954 β”‚ 0.919 β”‚ 0.954 β”‚ 0.906 β”‚ -0.000 β”‚ generalize β”‚
116
+ β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€οΏ½οΏ½β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
117
+ H26: Generalization gap β€” -->*
118
+ ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━┳━━━━━━━━━━━━┓
119
+ ┃ Layer ┃ RΒ²(seen) ┃ F(seen) ┃ RΒ²(unseen) ┃ F(unseen) ┃ Gap ┃ Verdict ┃
120
+ ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━╇━━━━━━━━━━━━┩
121
+ β”‚ L0 β”‚ 0.747 β”‚ 0.135 β”‚ 0.745 β”‚ -0.099 β”‚ 0.001 β”‚ generalize β”‚
122
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
123
+ β”‚ L1 β”‚ 0.976 β”‚ 0.836 β”‚ 0.976 β”‚ 0.801 β”‚ 0.000 β”‚ generalize β”‚
124
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
125
+ β”‚ L2 β”‚ 0.955 β”‚ 0.922 β”‚ 0.955 β”‚ 0.909 β”‚ 0.000 β”‚ generalize β”‚
126
+ β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
127
+ H26: Generalization gap β€” -->+
128
+ ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━┳━━━━━━━━━━━━┓
129
+ ┃ Layer ┃ RΒ²(seen) ┃ F(seen) ┃ RΒ²(unseen) ┃ F(unseen) ┃ Gap ┃ Verdict ┃
130
+ ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━╇━━━━━━━━━━━━┩
131
+ β”‚ L0 β”‚ 0.747 β”‚ 0.135 β”‚ 0.745 β”‚ -0.099 β”‚ 0.001 β”‚ generalize β”‚
132
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
133
+ β”‚ L1 β”‚ 0.976 β”‚ 0.836 β”‚ 0.976 β”‚ 0.801 β”‚ 0.000 β”‚ generalize β”‚
134
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
135
+ β”‚ L2 β”‚ 0.955 β”‚ 0.922 β”‚ 0.955 β”‚ 0.909 β”‚ 0.000 β”‚ generalize β”‚
136
+ β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
137
+ H26: Generalization gap β€” *->$
138
+ ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━┳━━━━━━━━━━━━┓
139
+ ┃ Layer ┃ RΒ²(seen) ┃ F(seen) ┃ RΒ²(unseen) ┃ F(unseen) ┃ Gap ┃ Verdict ┃
140
+ ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━╇━━━━━━━━━━━━┩
141
+ β”‚ L0 β”‚ 0.701 β”‚ 0.046 β”‚ 0.682 β”‚ -0.255 β”‚ 0.018 β”‚ generalize β”‚
142
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
143
+ β”‚ L1 β”‚ 0.834 β”‚ 0.406 β”‚ 0.833 β”‚ 0.299 β”‚ 0.001 β”‚ generalize β”‚
144
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
145
+ β”‚ L2 β”‚ 0.697 β”‚ 0.934 β”‚ 0.697 β”‚ 0.922 β”‚ 0.000 β”‚ generalize β”‚
146
+ β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
147
+ H26: Generalization gap β€” *->/
148
+ ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━━━━��━━━━━━━━┳━━━━━━━━━━━━┓
149
+ ┃ Layer ┃ RΒ²(seen) ┃ F(seen) ┃ RΒ²(unseen) ┃ F(unseen) ┃ Gap ┃ Verdict ┃
150
+ ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
151
+ β”‚ L0 β”‚ 0.714 β”‚ 0.059 β”‚ 0.713 β”‚ -0.226 β”‚ 0.001 β”‚ generalize β”‚
152
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
153
+ β”‚ L1 β”‚ 0.844 β”‚ 0.406 β”‚ 0.843 β”‚ 0.306 β”‚ 0.001 β”‚ generalize β”‚
154
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
155
+ β”‚ L2 β”‚ 0.706 β”‚ 0.934 β”‚ 0.706 β”‚ 0.923 β”‚ -0.000 β”‚ generalize β”‚
156
+ β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
157
+ H26: Generalization gap β€” *->-
158
+ ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━┳━━━━━━━━━━━━┓
159
+ ┃ Layer ┃ RΒ²(seen) ┃ F(seen) ┃ RΒ²(unseen) ┃ F(unseen) ┃ Gap ┃ Verdict ┃
160
+ ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━╇━━━━━━━━━━━━┩
161
+ β”‚ L0 β”‚ 0.701 β”‚ 0.046 β”‚ 0.682 β”‚ -0.255 β”‚ 0.018 β”‚ generalize β”‚
162
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
163
+ β”‚ L1 β”‚ 0.834 β”‚ 0.406 β”‚ 0.833 β”‚ 0.299 β”‚ 0.001 β”‚ generalize β”‚
164
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
165
+ β”‚ L2 β”‚ 0.697 β”‚ 0.934 β”‚ 0.697 β”‚ 0.922 β”‚ 0.000 β”‚ generalize β”‚
166
+ β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
167
+ H26: Generalization gap β€” *->%
168
+ ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
169
+ ┃ Layer ┃ RΒ²(seen) ┃ F(seen) ┃ RΒ²(unseen) ┃ F(unseen) ┃ Gap ┃ Verdict ┃
170
+ ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
171
+ β”‚ L0 β”‚ 0.714 β”‚ 0.059 β”‚ 0.713 β”‚ -0.226 β”‚ 0.001 β”‚ generalize β”‚
172
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
173
+ β”‚ L1 β”‚ 0.844 β”‚ 0.406 β”‚ 0.843 β”‚ 0.306 β”‚ 0.001 β”‚ generalize β”‚
174
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
175
+ β”‚ L2 β”‚ 0.706 β”‚ 0.934 β”‚ 0.706 β”‚ 0.923 β”‚ -0.000 β”‚ generalize β”‚
176
+ β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
177
+ H26: Generalization gap β€” *->+
178
+ ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━┳━━━━━━━━━━━━┓
179
+ ┃ Layer ┃ RΒ²(seen) ┃ F(seen) ┃ RΒ²(unseen) ┃ F(unseen) ┃ Gap ┃ Verdict ┃
180
+ ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━╇━��━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━╇━━━━━━━━━━━━┩
181
+ β”‚ L0 β”‚ 0.701 β”‚ 0.046 β”‚ 0.682 β”‚ -0.255 β”‚ 0.018 β”‚ generalize β”‚
182
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
183
+ β”‚ L1 β”‚ 0.834 β”‚ 0.406 β”‚ 0.833 β”‚ 0.299 β”‚ 0.001 β”‚ generalize β”‚
184
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
185
+ β”‚ L2 β”‚ 0.697 β”‚ 0.934 β”‚ 0.697 β”‚ 0.922 β”‚ 0.000 β”‚ generalize β”‚
186
+ β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
187
+ H26: Generalization gap β€” +->$
188
+ ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
189
+ ┃ Layer ┃ RΒ²(seen) ┃ F(seen) ┃ RΒ²(unseen) ┃ F(unseen) ┃ Gap ┃ Verdict ┃
190
+ ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
191
+ β”‚ L0 β”‚ 0.749 β”‚ 0.152 β”‚ 0.750 β”‚ -0.009 β”‚ -0.001 β”‚ generalize β”‚
192
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
193
+ β”‚ L1 β”‚ 0.932 β”‚ 0.287 β”‚ 0.931 β”‚ 0.157 β”‚ 0.000 β”‚ generalize β”‚
194
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
195
+ β”‚ L2 β”‚ 0.857 β”‚ 0.952 β”‚ 0.857 β”‚ 0.942 β”‚ 0.000 β”‚ generalize β”‚
196
+ β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
197
+ H26: Generalization gap β€” +->/
198
+ ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━┳━━━━━━━━━━━━┓
199
+ ┃ Layer ┃ RΒ²(seen) ┃ F(seen) ┃ RΒ²(unseen) ┃ F(unseen) ┃ Gap ┃ Verdict ┃
200
+ ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━╇━━━━━━━━━━━━┩
201
+ β”‚ L0 β”‚ 0.759 β”‚ 0.148 β”‚ 0.758 β”‚ -0.024 β”‚ 0.002 β”‚ generalize β”‚
202
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
203
+ β”‚ L1 β”‚ 0.936 β”‚ 0.303 β”‚ 0.935 β”‚ 0.175 β”‚ 0.001 β”‚ generalize β”‚
204
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
205
+ β”‚ L2 β”‚ 0.863 β”‚ 0.952 β”‚ 0.862 β”‚ 0.943 β”‚ 0.000 β”‚ generalize β”‚
206
+ β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
207
+ H26: Generalization gap β€” +->-
208
+ ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
209
+ ┃ Layer ┃ RΒ²(seen) ┃ F(seen) ┃ RΒ²(unseen) ┃ F(unseen) ┃ Gap ┃ Verdict ┃
210
+ ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
211
+ β”‚ L0 β”‚ 0.749 β”‚ 0.152 β”‚ 0.750 β”‚ -0.009 β”‚ -0.001 β”‚ generalize β”‚
212
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€οΏ½οΏ½β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
213
+ β”‚ L1 β”‚ 0.932 β”‚ 0.287 β”‚ 0.931 β”‚ 0.157 β”‚ 0.000 β”‚ generalize β”‚
214
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
215
+ β”‚ L2 β”‚ 0.857 β”‚ 0.952 β”‚ 0.857 β”‚ 0.942 β”‚ 0.000 β”‚ generalize β”‚
216
+ β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
217
+ H26: Generalization gap β€” +->%
218
+ ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━┳━━━━━━━━━━━━┓
219
+ ┃ Layer ┃ RΒ²(seen) ┃ F(seen) ┃ RΒ²(unseen) ┃ F(unseen) ┃ Gap ┃ Verdict ┃
220
+ ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━╇━━━━━━━━━━━━┩
221
+ β”‚ L0 β”‚ 0.759 β”‚ 0.148 β”‚ 0.758 β”‚ -0.024 β”‚ 0.002 β”‚ generalize β”‚
222
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
223
+ β”‚ L1 β”‚ 0.936 β”‚ 0.303 β”‚ 0.935 β”‚ 0.175 β”‚ 0.001 β”‚ generalize β”‚
224
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
225
+ β”‚ L2 β”‚ 0.863 β”‚ 0.952 β”‚ 0.862 β”‚ 0.943 β”‚ 0.000 β”‚ generalize β”‚
226
+ β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
227
+ H26: Generalization gap β€” +->*
228
+ ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
229
+ ┃ Layer ┃ RΒ²(seen) ┃ F(seen) ┃ RΒ²(unseen) ┃ F(unseen) ┃ Gap ┃ Verdict ┃
230
+ ┑━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
231
+ β”‚ L0 β”‚ 0.749 β”‚ 0.152 β”‚ 0.750 β”‚ -0.009 β”‚ -0.001 β”‚ generalize β”‚
232
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
233
+ β”‚ L1 β”‚ 0.932 β”‚ 0.287 β”‚ 0.931 β”‚ 0.157 β”‚ 0.000 β”‚ generalize β”‚
234
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
235
+ β”‚ L2 β”‚ 0.857 β”‚ 0.952 β”‚ 0.857 β”‚ 0.942 β”‚ 0.000 β”‚ generalize β”‚
236
+ β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
237
  H27: Subtraction as a + (βˆ’b)? (eq_sign residuals)
238
  ┏━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━┳━━━━━━━━━━┓
239
  ┃ Layer ┃ cos-sim(sub vs add) ┃ RΒ²(sub within) ┃ RΒ²(add β†’ sub) ┃ Verdict ┃
Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/answer_construction/f20_answer_decodability_by_layer.png CHANGED

Git LFS Details

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  • Size of remote file: 757 kB

Git LFS Details

  • SHA256: fe0a4a699bf7b456a5089e58c52fc05d64a32eccbc110ad607b74e34806957b5
  • Pointer size: 131 Bytes
  • Size of remote file: 757 kB
Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/answer_construction/metrics.json CHANGED
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Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/answer_construction/out.txt CHANGED
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Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/attention/out.txt CHANGED
@@ -8,78 +8,77 @@ inference pipeline. This script analyzes per-head OUTPUT vectors
8
  computes but not WHICH tokens it attends to.
9
  To get token-level attention patterns, inference.py would need to store
10
  the full attention weight matrices during generation.
 
 
 
11
 
12
- Loading results...
13
-
14
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=div]_[int=False].pt: 10000 results for $->/
15
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=minus]_[int=False].pt: 10000 results for $->-
16
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mod]_[int=False].pt: 10000 results for $->%
17
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mul]_[int=False].pt: 10000 results for $->*
18
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=plus]_[int=False].pt: 10000 results for $->+
19
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=concat]_[int=False].pt: 10000 results for /->$
20
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=minus]_[int=False].pt: 10000 results for /->-
21
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mod]_[int=False].pt: 10000 results for /->%
22
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mul]_[int=False].pt: 10000 results for /->*
23
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=plus]_[int=False].pt: 10000 results for /->+
24
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=concat]_[int=False].pt: 10000 results for -->$
25
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=div]_[int=False].pt: 10000 results for -->/
26
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mod]_[int=False].pt: 10000 results for -->%
27
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mul]_[int=False].pt: 10000 results for -->*
28
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=plus]_[int=False].pt: 10000 results for -->+
29
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=concat]_[int=False].pt: 10000 results for %->$
30
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=div]_[int=False].pt: 10000 results for %->/
31
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=minus]_[int=False].pt: 10000 results for %->-
32
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=mul]_[int=False].pt: 10000 results for %->*
33
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=plus]_[int=False].pt: 10000 results for %->+
34
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=concat]_[int=False].pt: 10000 results for *->$
35
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=div]_[int=False].pt: 10000 results for *->/
36
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=minus]_[int=False].pt: 10000 results for *->-
37
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=mod]_[int=False].pt: 10000 results for *->%
38
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=plus]_[int=False].pt: 10000 results for *->+
39
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=concat]_[int=False].pt: 10000 results for +->$
40
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=div]_[int=False].pt: 10000 results for +->/
41
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=minus]_[int=False].pt: 10000 results for +->-
42
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mod]_[int=False].pt: 10000 results for +->%
43
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mul]_[int=False].pt: 10000 results for +->*
44
  $->/: 10000 prompts
 
45
  $->-: 10000 prompts
 
46
  $->%: 10000 prompts
 
47
  $->*: 10000 prompts
 
48
  $->+: 10000 prompts
 
49
  /->$: 10000 prompts
 
50
  /->-: 10000 prompts
 
51
  /->%: 10000 prompts
 
52
  /->*: 10000 prompts
 
53
  /->+: 10000 prompts
 
54
  -->$: 10000 prompts
 
55
  -->/: 10000 prompts
 
56
  -->%: 10000 prompts
 
57
  -->*: 10000 prompts
 
58
  -->+: 10000 prompts
 
59
  %->$: 10000 prompts
 
60
  %->/: 10000 prompts
 
61
  %->-: 10000 prompts
 
62
  %->*: 10000 prompts
 
63
  %->+: 10000 prompts
 
64
  *->$: 10000 prompts
 
65
  *->/: 10000 prompts
 
66
  *->-: 10000 prompts
 
67
  *->%: 10000 prompts
 
68
  *->+: 10000 prompts
 
69
  +->$: 10000 prompts
 
70
  +->/: 10000 prompts
 
71
  +->-: 10000 prompts
 
72
  +->%: 10000 prompts
 
73
  +->*: 10000 prompts
74
- Layers: [0, 1, 2]
75
-
76
- Running E16a (head activity)...
77
-
78
  num_heads=4
79
 
80
  Running E16b/E17 (head context similarity)...
81
 
82
- Running E18 (head operation specialization)...
83
  E16a: Mean head output norm (mean across pairs, both
84
  contexts)
85
 
 
8
  computes but not WHICH tokens it attends to.
9
  To get token-level attention patterns, inference.py would need to store
10
  the full attention weight matrices during generation.
11
+
12
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=div]_[int=False].pt: 10000 results for $->/
13
+ Layers: [0, 1, 2]
14
 
15
+ Collecting head data (streaming one file at a time)...
16
+
17
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=div]_[int=False].pt: 10000 results for $->/
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
18
  $->/: 10000 prompts
19
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=minus]_[int=False].pt: 10000 results for $->-
20
  $->-: 10000 prompts
21
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mod]_[int=False].pt: 10000 results for $->%
22
  $->%: 10000 prompts
23
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mul]_[int=False].pt: 10000 results for $->*
24
  $->*: 10000 prompts
25
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=plus]_[int=False].pt: 10000 results for $->+
26
  $->+: 10000 prompts
27
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=concat]_[int=False].pt: 10000 results for /->$
28
  /->$: 10000 prompts
29
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=minus]_[int=False].pt: 10000 results for /->-
30
  /->-: 10000 prompts
31
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mod]_[int=False].pt: 10000 results for /->%
32
  /->%: 10000 prompts
33
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mul]_[int=False].pt: 10000 results for /->*
34
  /->*: 10000 prompts
35
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=plus]_[int=False].pt: 10000 results for /->+
36
  /->+: 10000 prompts
37
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=concat]_[int=False].pt: 10000 results for -->$
38
  -->$: 10000 prompts
39
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=div]_[int=False].pt: 10000 results for -->/
40
  -->/: 10000 prompts
41
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mod]_[int=False].pt: 10000 results for -->%
42
  -->%: 10000 prompts
43
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mul]_[int=False].pt: 10000 results for -->*
44
  -->*: 10000 prompts
45
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=plus]_[int=False].pt: 10000 results for -->+
46
  -->+: 10000 prompts
47
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=concat]_[int=False].pt: 10000 results for %->$
48
  %->$: 10000 prompts
49
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=div]_[int=False].pt: 10000 results for %->/
50
  %->/: 10000 prompts
51
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=minus]_[int=False].pt: 10000 results for %->-
52
  %->-: 10000 prompts
53
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=mul]_[int=False].pt: 10000 results for %->*
54
  %->*: 10000 prompts
55
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=plus]_[int=False].pt: 10000 results for %->+
56
  %->+: 10000 prompts
57
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=concat]_[int=False].pt: 10000 results for *->$
58
  *->$: 10000 prompts
59
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=div]_[int=False].pt: 10000 results for *->/
60
  *->/: 10000 prompts
61
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=minus]_[int=False].pt: 10000 results for *->-
62
  *->-: 10000 prompts
63
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=mod]_[int=False].pt: 10000 results for *->%
64
  *->%: 10000 prompts
65
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=plus]_[int=False].pt: 10000 results for *->+
66
  *->+: 10000 prompts
67
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=concat]_[int=False].pt: 10000 results for +->$
68
  +->$: 10000 prompts
69
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=div]_[int=False].pt: 10000 results for +->/
70
  +->/: 10000 prompts
71
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=minus]_[int=False].pt: 10000 results for +->-
72
  +->-: 10000 prompts
73
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mod]_[int=False].pt: 10000 results for +->%
74
  +->%: 10000 prompts
75
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mul]_[int=False].pt: 10000 results for +->*
76
  +->*: 10000 prompts
 
 
 
 
77
  num_heads=4
78
 
79
  Running E16b/E17 (head context similarity)...
80
 
81
+ Finalizing E18 (head operation specialization)...
82
  E16a: Mean head output norm (mean across pairs, both
83
  contexts)
84
 
Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/basic/out.txt CHANGED
@@ -3,71 +3,71 @@ BASIC STATISTICAL ANALYSIS
3
  ======================================================================
4
  Results directory: results/Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/inference/baseline
5
 
6
- Loading results...
7
-
8
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=div]_[int=False].pt: 10000 results for $->/
9
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=minus]_[int=False].pt: 10000 results for $->-
10
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mod]_[int=False].pt: 10000 results for $->%
11
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mul]_[int=False].pt: 10000 results for $->*
12
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=plus]_[int=False].pt: 10000 results for $->+
13
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=concat]_[int=False].pt: 10000 results for /->$
14
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=minus]_[int=False].pt: 10000 results for /->-
15
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mod]_[int=False].pt: 10000 results for /->%
16
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mul]_[int=False].pt: 10000 results for /->*
17
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=plus]_[int=False].pt: 10000 results for /->+
18
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=concat]_[int=False].pt: 10000 results for -->$
19
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=div]_[int=False].pt: 10000 results for -->/
20
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mod]_[int=False].pt: 10000 results for -->%
21
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mul]_[int=False].pt: 10000 results for -->*
22
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=plus]_[int=False].pt: 10000 results for -->+
23
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=concat]_[int=False].pt: 10000 results for %->$
24
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=div]_[int=False].pt: 10000 results for %->/
25
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=minus]_[int=False].pt: 10000 results for %->-
26
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=mul]_[int=False].pt: 10000 results for %->*
27
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=plus]_[int=False].pt: 10000 results for %->+
28
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=concat]_[int=False].pt: 10000 results for *->$
29
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=div]_[int=False].pt: 10000 results for *->/
30
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=minus]_[int=False].pt: 10000 results for *->-
31
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=mod]_[int=False].pt: 10000 results for *->%
32
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=plus]_[int=False].pt: 10000 results for *->+
33
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=concat]_[int=False].pt: 10000 results for +->$
34
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=div]_[int=False].pt: 10000 results for +->/
35
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=minus]_[int=False].pt: 10000 results for +->-
36
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mod]_[int=False].pt: 10000 results for +->%
37
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mul]_[int=False].pt: 10000 results for +->*
38
-
39
- Loaded 30 operator pairs
40
  $->/: 10000 prompts
 
41
  $->-: 10000 prompts
 
42
  $->%: 10000 prompts
 
43
  $->*: 10000 prompts
 
44
  $->+: 10000 prompts
 
45
  /->$: 10000 prompts
 
46
  /->-: 10000 prompts
 
47
  /->%: 10000 prompts
 
48
  /->*: 10000 prompts
 
49
  /->+: 10000 prompts
 
50
  -->$: 10000 prompts
 
51
  -->/: 10000 prompts
 
52
  -->%: 10000 prompts
 
53
  -->*: 10000 prompts
 
54
  -->+: 10000 prompts
 
55
  %->$: 10000 prompts
 
56
  %->/: 10000 prompts
 
57
  %->-: 10000 prompts
 
58
  %->*: 10000 prompts
 
59
  %->+: 10000 prompts
 
60
  *->$: 10000 prompts
 
61
  *->/: 10000 prompts
 
62
  *->-: 10000 prompts
 
63
  *->%: 10000 prompts
 
64
  *->+: 10000 prompts
 
65
  +->$: 10000 prompts
 
66
  +->/: 10000 prompts
 
67
  +->-: 10000 prompts
 
68
  +->%: 10000 prompts
 
69
  +->*: 10000 prompts
70
 
 
 
71
  ======================================================================
72
  SUCCESS/FAILURE DISTRIBUTION ANALYSIS
73
  ======================================================================
 
3
  ======================================================================
4
  Results directory: results/Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/inference/baseline
5
 
6
+ Streaming results (one file at a time)...
7
+
8
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=div]_[int=False].pt: 10000 results for $->/
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
9
  $->/: 10000 prompts
10
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=minus]_[int=False].pt: 10000 results for $->-
11
  $->-: 10000 prompts
12
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mod]_[int=False].pt: 10000 results for $->%
13
  $->%: 10000 prompts
14
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mul]_[int=False].pt: 10000 results for $->*
15
  $->*: 10000 prompts
16
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=plus]_[int=False].pt: 10000 results for $->+
17
  $->+: 10000 prompts
18
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=concat]_[int=False].pt: 10000 results for /->$
19
  /->$: 10000 prompts
20
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=minus]_[int=False].pt: 10000 results for /->-
21
  /->-: 10000 prompts
22
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mod]_[int=False].pt: 10000 results for /->%
23
  /->%: 10000 prompts
24
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mul]_[int=False].pt: 10000 results for /->*
25
  /->*: 10000 prompts
26
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=plus]_[int=False].pt: 10000 results for /->+
27
  /->+: 10000 prompts
28
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=concat]_[int=False].pt: 10000 results for -->$
29
  -->$: 10000 prompts
30
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=div]_[int=False].pt: 10000 results for -->/
31
  -->/: 10000 prompts
32
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mod]_[int=False].pt: 10000 results for -->%
33
  -->%: 10000 prompts
34
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mul]_[int=False].pt: 10000 results for -->*
35
  -->*: 10000 prompts
36
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=plus]_[int=False].pt: 10000 results for -->+
37
  -->+: 10000 prompts
38
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=concat]_[int=False].pt: 10000 results for %->$
39
  %->$: 10000 prompts
40
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=div]_[int=False].pt: 10000 results for %->/
41
  %->/: 10000 prompts
42
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=minus]_[int=False].pt: 10000 results for %->-
43
  %->-: 10000 prompts
44
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=mul]_[int=False].pt: 10000 results for %->*
45
  %->*: 10000 prompts
46
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=plus]_[int=False].pt: 10000 results for %->+
47
  %->+: 10000 prompts
48
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=concat]_[int=False].pt: 10000 results for *->$
49
  *->$: 10000 prompts
50
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=div]_[int=False].pt: 10000 results for *->/
51
  *->/: 10000 prompts
52
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=minus]_[int=False].pt: 10000 results for *->-
53
  *->-: 10000 prompts
54
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=mod]_[int=False].pt: 10000 results for *->%
55
  *->%: 10000 prompts
56
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=plus]_[int=False].pt: 10000 results for *->+
57
  *->+: 10000 prompts
58
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=concat]_[int=False].pt: 10000 results for +->$
59
  +->$: 10000 prompts
60
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=div]_[int=False].pt: 10000 results for +->/
61
  +->/: 10000 prompts
62
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=minus]_[int=False].pt: 10000 results for +->-
63
  +->-: 10000 prompts
64
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mod]_[int=False].pt: 10000 results for +->%
65
  +->%: 10000 prompts
66
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mul]_[int=False].pt: 10000 results for +->*
67
  +->*: 10000 prompts
68
 
69
+ Processed 30 operator pairs
70
+
71
  ======================================================================
72
  SUCCESS/FAILURE DISTRIBUTION ANALYSIS
73
  ======================================================================
Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/carry_borrow/c12_carry_borrow_by_layer.png CHANGED

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+ "tens_borrow_fourier": null
1090
  },
1091
  "operator": {
1092
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1093
+ "carry_fourier": -0.03843498229980469,
1094
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1095
+ "tens_carry_fourier": -0.031378543376922606,
1096
  "borrow": null,
1097
+ "borrow_fourier": null,
1098
+ "tens_borrow": null,
1099
+ "tens_borrow_fourier": null
1100
  },
1101
  "eq_sign": {
1102
+ "carry": 0.8843161582250765,
1103
+ "carry_fourier": -0.014813709259033202,
1104
+ "tens_carry": 0.9573031893441215,
1105
+ "tens_carry_fourier": -0.007125675678253174,
1106
  "borrow": null,
1107
+ "borrow_fourier": null,
1108
+ "tens_borrow": null,
1109
+ "tens_borrow_fourier": null
1110
  }
1111
  },
1112
  "2": {
1113
  "operand_a": {
1114
+ "carry": 0.8248011239235147,
1115
+ "carry_fourier": -0.033372020721435545,
1116
+ "tens_carry": 0.8206627122897359,
1117
+ "tens_carry_fourier": -0.04027465581893921,
1118
  "borrow": null,
1119
+ "borrow_fourier": null,
1120
+ "tens_borrow": null,
1121
+ "tens_borrow_fourier": null
1122
  },
1123
  "operand_b": {
1124
+ "carry": 0.9985091389740347,
1125
+ "carry_fourier": 0.46842833161354064,
1126
+ "tens_carry": 0.9886215000408104,
1127
+ "tens_carry_fourier": 0.09922747611999512,
1128
  "borrow": null,
1129
+ "borrow_fourier": null,
1130
+ "tens_borrow": null,
1131
+ "tens_borrow_fourier": null
1132
  },
1133
  "operator": {
1134
+ "carry": 0.8234696070322256,
1135
+ "carry_fourier": -0.0396302580833435,
1136
+ "tens_carry": 0.8143566279791447,
1137
+ "tens_carry_fourier": -0.03300552368164063,
1138
  "borrow": null,
1139
+ "borrow_fourier": null,
1140
+ "tens_borrow": null,
1141
+ "tens_borrow_fourier": null
1142
  },
1143
  "eq_sign": {
1144
  "carry": 1.0,
1145
+ "carry_fourier": 0.9518116533756256,
1146
+ "tens_carry": 0.9354987695730557,
1147
+ "tens_carry_fourier": -0.02655901908874512,
1148
  "borrow": null,
1149
+ "borrow_fourier": null,
1150
+ "tens_borrow": null,
1151
+ "tens_borrow_fourier": null
1152
  }
1153
  }
1154
  },
1155
  "+->*": {
1156
  "0": {
1157
  "operand_a": {
1158
+ "carry": 0.8308432835351744,
1159
+ "carry_fourier": -0.03447847366333008,
1160
+ "tens_carry": 0.8214489930409373,
1161
+ "tens_carry_fourier": -0.0303796648979187,
1162
  "borrow": null,
1163
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1164
+ "tens_borrow": null,
1165
+ "tens_borrow_fourier": null
1166
  },
1167
  "operand_b": {
1168
+ "carry": 0.9312227416105954,
1169
+ "carry_fourier": 0.1571376144886017,
1170
+ "tens_carry": 0.9712487412386711,
1171
+ "tens_carry_fourier": 0.26671253442764287,
1172
  "borrow": null,
1173
+ "borrow_fourier": null,
1174
+ "tens_borrow": null,
1175
+ "tens_borrow_fourier": null
1176
  },
1177
  "operator": {
1178
+ "carry": 0.5650675191042169,
1179
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1180
+ "tens_carry": 0.5672055048495437,
1181
+ "tens_carry_fourier": -0.02986454963684082,
1182
  "borrow": null,
1183
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1184
+ "tens_borrow": null,
1185
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1186
  },
1187
  "eq_sign": {
1188
+ "carry": 0.6866531908470203,
1189
+ "carry_fourier": -0.035644936561584475,
1190
+ "tens_carry": 0.7903857134714213,
1191
+ "tens_carry_fourier": -0.03075752258300781,
1192
  "borrow": null,
1193
+ "borrow_fourier": null,
1194
+ "tens_borrow": null,
1195
+ "tens_borrow_fourier": null
1196
  }
1197
  },
1198
  "1": {
1199
  "operand_a": {
1200
+ "carry": 0.828001588354428,
1201
+ "carry_fourier": -0.03761551380157471,
1202
+ "tens_carry": 0.8242410181691635,
1203
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1204
  "borrow": null,
1205
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1206
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1207
+ "tens_borrow_fourier": null
1208
  },
1209
  "operand_b": {
1210
  "carry": 0.9987845432275947,
1211
+ "carry_fourier": 0.5148544490337372,
1212
+ "tens_carry": 0.9884602961426653,
1213
+ "tens_carry_fourier": 0.07185086011886596,
1214
  "borrow": null,
1215
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1216
+ "tens_borrow": null,
1217
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1218
  },
1219
  "operator": {
1220
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1221
+ "carry_fourier": -0.03577698469161987,
1222
+ "tens_carry": 0.8206311856806711,
1223
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1224
  "borrow": null,
1225
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1226
+ "tens_borrow": null,
1227
+ "tens_borrow_fourier": null
1228
  },
1229
  "eq_sign": {
1230
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1231
+ "carry_fourier": -0.015211915969848633,
1232
+ "tens_carry": 0.9561684055156496,
1233
+ "tens_carry_fourier": -0.00459943413734436,
1234
  "borrow": null,
1235
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1236
+ "tens_borrow": null,
1237
+ "tens_borrow_fourier": null
1238
  }
1239
  },
1240
  "2": {
1241
  "operand_a": {
1242
+ "carry": 0.8245600326875845,
1243
+ "carry_fourier": -0.03781917095184326,
1244
+ "tens_carry": 0.8226768040912369,
1245
+ "tens_carry_fourier": -0.03236536979675293,
1246
  "borrow": null,
1247
+ "borrow_fourier": null,
1248
+ "tens_borrow": null,
1249
+ "tens_borrow_fourier": null
1250
  },
1251
  "operand_b": {
1252
+ "carry": 0.9984938526704521,
1253
+ "carry_fourier": 0.45252004861831663,
1254
+ "tens_carry": 0.9882368941320472,
1255
+ "tens_carry_fourier": 0.10158275365829468,
1256
  "borrow": null,
1257
+ "borrow_fourier": null,
1258
+ "tens_borrow": null,
1259
+ "tens_borrow_fourier": null
1260
  },
1261
  "operator": {
1262
+ "carry": 0.8262660240904814,
1263
+ "carry_fourier": -0.035888826847076415,
1264
+ "tens_carry": 0.8191465723191509,
1265
+ "tens_carry_fourier": -0.03233786821365356,
1266
  "borrow": null,
1267
+ "borrow_fourier": null,
1268
+ "tens_borrow": null,
1269
+ "tens_borrow_fourier": null
1270
  },
1271
  "eq_sign": {
1272
  "carry": 1.0,
1273
+ "carry_fourier": 0.9515169084072113,
1274
+ "tens_carry": 0.9350278152503373,
1275
+ "tens_carry_fourier": -0.02290962934494019,
1276
  "borrow": null,
1277
+ "borrow_fourier": null,
1278
+ "tens_borrow": null,
1279
+ "tens_borrow_fourier": null
1280
  }
1281
  }
1282
  }
Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/carry_borrow/out.txt CHANGED
@@ -1,256 +1,235 @@
1
  ======================================================================
2
  CARRY AND BORROW ANALYSIS (C10–C12)
3
  ======================================================================
 
 
 
4
 
5
- Loading results...
6
-
7
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=div]_[int=False].pt: 10000 results for $->/
8
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=minus]_[int=False].pt: 10000 results for $->-
9
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mod]_[int=False].pt: 10000 results for $->%
10
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mul]_[int=False].pt: 10000 results for $->*
11
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=plus]_[int=False].pt: 10000 results for $->+
12
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=concat]_[int=False].pt: 10000 results for /->$
13
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=minus]_[int=False].pt: 10000 results for /->-
14
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mod]_[int=False].pt: 10000 results for /->%
15
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mul]_[int=False].pt: 10000 results for /->*
16
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=plus]_[int=False].pt: 10000 results for /->+
17
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=concat]_[int=False].pt: 10000 results for -->$
18
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=div]_[int=False].pt: 10000 results for -->/
19
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mod]_[int=False].pt: 10000 results for -->%
20
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mul]_[int=False].pt: 10000 results for -->*
21
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=plus]_[int=False].pt: 10000 results for -->+
22
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=concat]_[int=False].pt: 10000 results for %->$
23
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=div]_[int=False].pt: 10000 results for %->/
24
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=minus]_[int=False].pt: 10000 results for %->-
25
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=mul]_[int=False].pt: 10000 results for %->*
26
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=plus]_[int=False].pt: 10000 results for %->+
27
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=concat]_[int=False].pt: 10000 results for *->$
28
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=div]_[int=False].pt: 10000 results for *->/
29
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=minus]_[int=False].pt: 10000 results for *->-
30
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=mod]_[int=False].pt: 10000 results for *->%
31
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=plus]_[int=False].pt: 10000 results for *->+
32
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=concat]_[int=False].pt: 10000 results for +->$
33
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=div]_[int=False].pt: 10000 results for +->/
34
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=minus]_[int=False].pt: 10000 results for +->-
35
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mod]_[int=False].pt: 10000 results for +->%
36
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mul]_[int=False].pt: 10000 results for +->*
37
  $->/: 10000 prompts
 
38
  $->-: 10000 prompts
 
39
  $->%: 10000 prompts
 
40
  $->*: 10000 prompts
 
41
  $->+: 10000 prompts
 
42
  /->$: 10000 prompts
 
43
  /->-: 10000 prompts
 
44
  /->%: 10000 prompts
 
45
  /->*: 10000 prompts
 
46
  /->+: 10000 prompts
 
47
  -->$: 10000 prompts
 
48
  -->/: 10000 prompts
 
49
  -->%: 10000 prompts
 
50
  -->*: 10000 prompts
 
51
  -->+: 10000 prompts
 
52
  %->$: 10000 prompts
 
53
  %->/: 10000 prompts
 
54
  %->-: 10000 prompts
 
55
  %->*: 10000 prompts
 
56
  %->+: 10000 prompts
 
57
  *->$: 10000 prompts
 
58
  *->/: 10000 prompts
 
59
  *->-: 10000 prompts
 
60
  *->%: 10000 prompts
 
61
  *->+: 10000 prompts
 
62
  +->$: 10000 prompts
 
63
  +->/: 10000 prompts
 
64
  +->-: 10000 prompts
 
65
  +->%: 10000 prompts
 
66
  +->*: 10000 prompts
67
- Layers: [0, 1, 2]
68
-
69
- Collecting carry/borrow data (addition and subtraction pairs only)...
70
-
71
 
72
  Running C10/C11...
73
-
74
- C10/C11: -->$ β€” units-borrow AUROC (per layer Γ—
75
- position)
76
-
77
- Layer operand_a operand_b operator eq_sign
78
- ────────────────────────────────────────────────────
79
- L0 0.825 0.915 0.615 0.665
80
- L1 0.822 1.000 0.818 0.919
81
- L2 0.819 1.000 0.812 1.000
82
-
83
- C10/C11: -->$ β€” tens-borrow AUROC (per layer Γ—
84
- position)
85
-
86
- Layer operand_a operand_b operator eq_sign
87
- ────────────────────────────────────────────────────
88
- L0 0.819 0.980 0.658 0.760
89
- L1 0.822 0.991 0.807 0.968
90
- L2 0.821 0.995 0.782 0.978
91
-
92
- C10/C11: -->/ β€” units-borrow AUROC (per layer Γ—
93
- position)
94
-
95
- Layer operand_a operand_b operator eq_sign
96
- ────────────────────────────────────────────────────
97
- L0 0.826 0.916 0.605 0.664
98
- L1 0.824 1.000 0.819 0.913
99
- L2 0.822 1.000 0.813 1.000
100
-
101
- C10/C11: -->/ β€” tens-borrow AUROC (per layer Γ—
102
- position)
103
-
104
- Layer operand_a operand_b operator eq_sign
105
- ────────────────────────────────────────────────────
106
- L0 0.825 0.981 0.659 0.755
107
- L1 0.827 0.990 0.815 0.969
108
- L2 0.823 0.994 0.781 0.977
109
-
110
- C10/C11: -->% β€” units-borrow AUROC (per layer Γ—
111
- position)
112
-
113
- Layer operand_a operand_b operator eq_sign
114
- ────────────────────────────────────────────────────
115
- L0 0.826 0.916 0.605 0.664
116
- L1 0.824 1.000 0.819 0.913
117
- L2 0.822 1.000 0.813 1.000
118
-
119
- C10/C11: -->% β€” tens-borrow AUROC (per layer Γ—
120
- position)
121
-
122
- Layer operand_a operand_b operator eq_sign
123
- ────────────────────────────────────────────────────
124
- L0 0.825 0.981 0.659 0.755
125
- L1 0.827 0.990 0.815 0.969
126
- L2 0.823 0.994 0.781 0.977
127
-
128
- C10/C11: -->* β€” units-borrow AUROC (per layer Γ—
129
- position)
130
-
131
- Layer operand_a operand_b operator eq_sign
132
- ──────────��─────────────────────────────────────────
133
- L0 0.825 0.915 0.615 0.665
134
- L1 0.822 1.000 0.818 0.919
135
- L2 0.819 1.000 0.812 1.000
136
-
137
- C10/C11: -->* β€” tens-borrow AUROC (per layer Γ—
138
- position)
139
-
140
- Layer operand_a operand_b operator eq_sign
141
- ────────────────────────────────────────────────────
142
- L0 0.819 0.980 0.658 0.760
143
- L1 0.822 0.991 0.807 0.968
144
- L2 0.821 0.995 0.782 0.978
145
-
146
- C10/C11: -->+ β€” units-borrow AUROC (per layer Γ—
147
- position)
148
-
149
- Layer operand_a operand_b operator eq_sign
150
- ────────────────────────────────────────────────────
151
- L0 0.825 0.915 0.615 0.665
152
- L1 0.822 1.000 0.818 0.919
153
- L2 0.819 1.000 0.812 1.000
154
-
155
- C10/C11: -->+ β€” tens-borrow AUROC (per layer Γ—
156
- position)
157
-
158
- Layer operand_a operand_b operator eq_sign
159
- ────────────────────────────────────────────────────
160
- L0 0.819 0.980 0.658 0.760
161
- L1 0.822 0.991 0.807 0.968
162
- L2 0.821 0.995 0.782 0.978
163
-
164
- C10/C11: +->$ β€” units-carry AUROC (per layer Γ—
165
- position)
166
-
167
- Layer operand_a operand_b operator eq_sign
168
- ────────────────────────────────────────────────────
169
- L0 0.831 0.931 0.565 0.687
170
- L1 0.828 0.999 0.827 0.881
171
- L2 0.825 0.998 0.826 1.000
172
-
173
- C10/C11: +->$ β€” tens-carry AUROC (per layer Γ—
174
- position)
175
-
176
- Layer operand_a operand_b operator eq_sign
177
- ────────────────────────────────────────────────────
178
- L0 0.822 0.971 0.567 0.790
179
- L1 0.824 0.988 0.821 0.956
180
- L2 0.823 0.988 0.819 0.935
181
-
182
- C10/C11: +->/ β€” units-carry AUROC (per layer Γ—
183
- position)
184
-
185
- Layer operand_a operand_b operator eq_sign
186
- ────────────────────────────────────────────────────
187
- L0 0.829 0.931 0.565 0.687
188
- L1 0.828 0.999 0.825 0.884
189
- L2 0.825 0.999 0.823 1.000
190
-
191
- C10/C11: +->/ β€” tens-carry AUROC (per layer Γ—
192
- position)
193
-
194
- Layer operand_a operand_b operator eq_sign
195
- ────────────────────────────────────────────────────
196
- L0 0.821 0.972 0.586 0.789
197
- L1 0.824 0.989 0.821 0.957
198
- L2 0.821 0.989 0.814 0.936
199
-
200
- C10/C11: +->- β€” units-carry AUROC (per layer Γ—
201
- position)
202
-
203
- Layer operand_a operand_b operator eq_sign
204
- ────────────────────────────────────────────────────
205
- L0 0.831 0.931 0.565 0.687
206
- L1 0.828 0.999 0.827 0.881
207
- L2 0.825 0.998 0.826 1.000
208
-
209
- C10/C11: +->- β€” tens-carry AUROC (per layer Γ—
210
- position)
211
-
212
- Layer operand_a operand_b operator eq_sign
213
- ────────────────────────────────────────────────────
214
- L0 0.822 0.971 0.567 0.790
215
- L1 0.824 0.988 0.821 0.956
216
- L2 0.823 0.988 0.819 0.935
217
-
218
- C10/C11: +->% β€” units-carry AUROC (per layer Γ—
219
- position)
220
-
221
- Layer operand_a operand_b operator eq_sign
222
- ────────────────────────────────────────────────────
223
- L0 0.829 0.931 0.565 0.687
224
- L1 0.828 0.999 0.825 0.884
225
- L2 0.825 0.999 0.823 1.000
226
-
227
- C10/C11: +->% β€” tens-carry AUROC (per layer Γ—
228
- position)
229
-
230
- Layer operand_a operand_b operator eq_sign
231
- ────────────────────────────────────────────────────
232
- L0 0.821 0.972 0.586 0.789
233
- L1 0.824 0.989 0.821 0.957
234
- L2 0.821 0.989 0.814 0.936
235
-
236
- C10/C11: +->* β€” units-carry AUROC (per layer Γ—
237
- position)
238
-
239
- Layer operand_a operand_b operator eq_sign
240
- ────────────────────────────────────────────────────
241
- L0 0.831 0.931 0.565 0.687
242
- L1 0.828 0.999 0.827 0.881
243
- L2 0.825 0.998 0.826 1.000
244
-
245
- C10/C11: +->* β€” tens-carry AUROC (per layer Γ—
246
- position)
247
-
248
- Layer operand_a operand_b operator eq_sign
249
- ────────────────────────────────────────────────────
250
- L0 0.822 0.971 0.567 0.790
251
- L1 0.824 0.988 0.821 0.956
252
- L2 0.823 0.988 0.819 0.935
253
-
254
  C12: Carry vs borrow across layers (at
255
  eq_sign)
256
 
 
1
  ======================================================================
2
  CARRY AND BORROW ANALYSIS (C10–C12)
3
  ======================================================================
4
+
5
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=div]_[int=False].pt: 10000 results for $->/
6
+ Layers: [0, 1, 2]
7
 
8
+ Collecting carry/borrow data (streaming one file at a time)...
9
+
10
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=div]_[int=False].pt: 10000 results for $->/
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
11
  $->/: 10000 prompts
12
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=minus]_[int=False].pt: 10000 results for $->-
13
  $->-: 10000 prompts
14
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mod]_[int=False].pt: 10000 results for $->%
15
  $->%: 10000 prompts
16
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mul]_[int=False].pt: 10000 results for $->*
17
  $->*: 10000 prompts
18
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=plus]_[int=False].pt: 10000 results for $->+
19
  $->+: 10000 prompts
20
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=concat]_[int=False].pt: 10000 results for /->$
21
  /->$: 10000 prompts
22
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=minus]_[int=False].pt: 10000 results for /->-
23
  /->-: 10000 prompts
24
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mod]_[int=False].pt: 10000 results for /->%
25
  /->%: 10000 prompts
26
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mul]_[int=False].pt: 10000 results for /->*
27
  /->*: 10000 prompts
28
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=plus]_[int=False].pt: 10000 results for /->+
29
  /->+: 10000 prompts
30
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=concat]_[int=False].pt: 10000 results for -->$
31
  -->$: 10000 prompts
32
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=div]_[int=False].pt: 10000 results for -->/
33
  -->/: 10000 prompts
34
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mod]_[int=False].pt: 10000 results for -->%
35
  -->%: 10000 prompts
36
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mul]_[int=False].pt: 10000 results for -->*
37
  -->*: 10000 prompts
38
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=plus]_[int=False].pt: 10000 results for -->+
39
  -->+: 10000 prompts
40
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=concat]_[int=False].pt: 10000 results for %->$
41
  %->$: 10000 prompts
42
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=div]_[int=False].pt: 10000 results for %->/
43
  %->/: 10000 prompts
44
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=minus]_[int=False].pt: 10000 results for %->-
45
  %->-: 10000 prompts
46
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=mul]_[int=False].pt: 10000 results for %->*
47
  %->*: 10000 prompts
48
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=plus]_[int=False].pt: 10000 results for %->+
49
  %->+: 10000 prompts
50
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=concat]_[int=False].pt: 10000 results for *->$
51
  *->$: 10000 prompts
52
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=div]_[int=False].pt: 10000 results for *->/
53
  *->/: 10000 prompts
54
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=minus]_[int=False].pt: 10000 results for *->-
55
  *->-: 10000 prompts
56
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=mod]_[int=False].pt: 10000 results for *->%
57
  *->%: 10000 prompts
58
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=plus]_[int=False].pt: 10000 results for *->+
59
  *->+: 10000 prompts
60
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=concat]_[int=False].pt: 10000 results for +->$
61
  +->$: 10000 prompts
62
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=div]_[int=False].pt: 10000 results for +->/
63
  +->/: 10000 prompts
64
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=minus]_[int=False].pt: 10000 results for +->-
65
  +->-: 10000 prompts
66
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mod]_[int=False].pt: 10000 results for +->%
67
  +->%: 10000 prompts
68
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mul]_[int=False].pt: 10000 results for +->*
69
  +->*: 10000 prompts
 
 
 
 
70
 
71
  Running C10/C11...
72
+
73
+ C10/C11: -->$ β€” units-borrow AUROC + Fourier-RΒ² (per layer Γ— position)
74
+
75
+ Layer opera… opera… opera… opera… opera… opera… eq_si… eq_s…
76
+ ──────────────────────────────────────────────────────────────────────────────
77
+ L0 0.825 -0.030 0.915 0.153 0.614 -0.029 0.665 -0.0…
78
+ L1 0.822 -0.035 1.000 0.943 0.818 -0.036 0.919 0.000
79
+ L2 0.819 -0.037 1.000 0.925 0.812 -0.036 1.000 0.922
80
+
81
+ C10/C11: -->$ β€” tens-borrow AUROC + Fourier-RΒ² (per layer Γ— position)
82
+
83
+ Layer opera… opera… opera… opera… opera… opera… eq_si… eq_s…
84
+ ──────────────────────────────────────────────────────────────────────────────
85
+ L0 0.819 -0.032 0.980 0.279 0.658 -0.031 0.759 -0.0…
86
+ L1 0.822 -0.034 0.991 0.097 0.807 -0.033 0.968 0.011
87
+ L2 0.821 -0.031 0.995 0.332 0.782 -0.031 0.978 0.200
88
+
89
+ C10/C11: -->/ β€” units-borrow AUROC + Fourier-RΒ² (per layer Γ— position)
90
+
91
+ Layer opera… opera… opera… opera… opera… opera… eq_si… eq_s…
92
+ ──────────────────────────────────────────────────────────────────────────────
93
+ L0 0.826 -0.033 0.916 0.150 0.605 -0.028 0.664 -0.0…
94
+ L1 0.824 -0.033 1.000 0.943 0.819 -0.029 0.913 0.002
95
+ L2 0.822 -0.034 1.000 0.925 0.813 -0.033 1.000 0.919
96
+
97
+ C10/C11: -->/ β€” tens-borrow AUROC + Fourier-RΒ² (per layer Γ— position)
98
+
99
+ Layer opera… opera… opera… opera… opera… opera… eq_si… eq_s…
100
+ ──────────────────────────────────────────────────────────────────────────────
101
+ L0 0.826 -0.031 0.981 0.279 0.659 -0.035 0.756 -0.0…
102
+ L1 0.827 -0.033 0.990 0.098 0.815 -0.031 0.969 0.012
103
+ L2 0.824 -0.035 0.994 0.341 0.781 -0.031 0.977 0.201
104
+
105
+ C10/C11: -->% β€” units-borrow AUROC + Fourier-RΒ² (per layer Γ— position)
106
+
107
+ Layer opera… opera… opera… opera… opera… opera… eq_si… eq_s…
108
+ ──────────────────────────────────────────────────────────────────────────────
109
+ L0 0.826 -0.033 0.916 0.150 0.605 -0.028 0.664 -0.0…
110
+ L1 0.824 -0.033 1.000 0.943 0.819 -0.029 0.913 0.002
111
+ L2 0.822 -0.034 1.000 0.925 0.813 -0.033 1.000 0.919
112
+
113
+ C10/C11: -->% β€” tens-borrow AUROC + Fourier-RΒ² (per layer Γ— position)
114
+
115
+ Layer opera… opera… opera… opera… opera… opera… eq_si… eq_s…
116
+ ──────────────────────────────────────────────────────────────────────────────
117
+ L0 0.826 -0.031 0.981 0.279 0.659 -0.035 0.756 -0.0…
118
+ L1 0.827 -0.033 0.990 0.098 0.815 -0.031 0.969 0.012
119
+ L2 0.824 -0.035 0.994 0.341 0.781 -0.031 0.977 0.201
120
+
121
+ C10/C11: -->* β€” units-borrow AUROC + Fourier-RΒ² (per layer Γ— position)
122
+
123
+ Layer opera… opera… opera… opera… opera… opera… eq_si… eq_s…
124
+ ──────────────────────────────────────────────────────────────────────────────
125
+ L0 0.825 -0.030 0.915 0.153 0.614 -0.029 0.665 -0.0…
126
+ L1 0.822 -0.035 1.000 0.943 0.818 -0.036 0.919 0.000
127
+ L2 0.819 -0.037 1.000 0.925 0.812 -0.036 1.000 0.922
128
+
129
+ C10/C11: -->* β€” tens-borrow AUROC + Fourier-RΒ² (per layer Γ— position)
130
+
131
+ Layer opera… opera… opera… opera… opera… opera… eq_si… eq_s…
132
+ ──────────────────────────────────────────────────────────────────────────────
133
+ L0 0.819 -0.032 0.980 0.279 0.658 -0.031 0.759 -0.0…
134
+ L1 0.822 -0.034 0.991 0.097 0.807 -0.033 0.968 0.011
135
+ L2 0.821 -0.031 0.995 0.332 0.782 -0.031 0.978 0.200
136
+
137
+ C10/C11: -->+ β€” units-borrow AUROC + Fourier-RΒ² (per layer Γ— position)
138
+
139
+ Layer opera… opera… opera… opera… opera… opera… eq_si… eq_s…
140
+ ──────────────────────────────────────────────────────────────────────────────
141
+ L0 0.825 -0.030 0.915 0.153 0.614 -0.029 0.665 -0.0…
142
+ L1 0.822 -0.035 1.000 0.943 0.818 -0.036 0.919 0.000
143
+ L2 0.819 -0.037 1.000 0.925 0.812 -0.036 1.000 0.922
144
+
145
+ C10/C11: -->+ β€” tens-borrow AUROC + Fourier-RΒ² (per layer Γ— position)
146
+
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Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/operand_interaction/metrics.json CHANGED
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Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/operand_interaction/out.txt CHANGED
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@@ -1,81 +1,80 @@
1
  ======================================================================
2
  OPERAND REPRESENTATION ANALYSIS (A1–A6)
3
  ======================================================================
 
 
 
4
 
5
- Loading results...
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7
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=div]_[int=False].pt: 10000 results for $->/
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- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=minus]_[int=False].pt: 10000 results for $->-
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- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mod]_[int=False].pt: 10000 results for $->%
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- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mul]_[int=False].pt: 10000 results for $->*
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- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=plus]_[int=False].pt: 10000 results for $->+
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- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=concat]_[int=False].pt: 10000 results for /->$
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- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=minus]_[int=False].pt: 10000 results for /->-
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- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mod]_[int=False].pt: 10000 results for /->%
15
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mul]_[int=False].pt: 10000 results for /->*
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- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=plus]_[int=False].pt: 10000 results for /->+
17
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=concat]_[int=False].pt: 10000 results for -->$
18
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=div]_[int=False].pt: 10000 results for -->/
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- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mod]_[int=False].pt: 10000 results for -->%
20
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mul]_[int=False].pt: 10000 results for -->*
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- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=plus]_[int=False].pt: 10000 results for -->+
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- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=concat]_[int=False].pt: 10000 results for %->$
23
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=div]_[int=False].pt: 10000 results for %->/
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- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=minus]_[int=False].pt: 10000 results for %->-
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- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=mul]_[int=False].pt: 10000 results for %->*
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- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=plus]_[int=False].pt: 10000 results for %->+
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- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=concat]_[int=False].pt: 10000 results for *->$
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- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=div]_[int=False].pt: 10000 results for *->/
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- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=minus]_[int=False].pt: 10000 results for *->-
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- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=mod]_[int=False].pt: 10000 results for *->%
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- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=plus]_[int=False].pt: 10000 results for *->+
32
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=concat]_[int=False].pt: 10000 results for +->$
33
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=div]_[int=False].pt: 10000 results for +->/
34
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=minus]_[int=False].pt: 10000 results for +->-
35
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mod]_[int=False].pt: 10000 results for +->%
36
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mul]_[int=False].pt: 10000 results for +->*
37
  $->/: 10000 prompts
 
38
  $->-: 10000 prompts
 
39
  $->%: 10000 prompts
 
40
  $->*: 10000 prompts
 
41
  $->+: 10000 prompts
 
42
  /->$: 10000 prompts
 
43
  /->-: 10000 prompts
 
44
  /->%: 10000 prompts
 
45
  /->*: 10000 prompts
 
46
  /->+: 10000 prompts
 
47
  -->$: 10000 prompts
 
48
  -->/: 10000 prompts
 
49
  -->%: 10000 prompts
 
50
  -->*: 10000 prompts
 
51
  -->+: 10000 prompts
 
52
  %->$: 10000 prompts
 
53
  %->/: 10000 prompts
 
54
  %->-: 10000 prompts
 
55
  %->*: 10000 prompts
 
56
  %->+: 10000 prompts
 
57
  *->$: 10000 prompts
 
58
  *->/: 10000 prompts
 
59
  *->-: 10000 prompts
 
60
  *->%: 10000 prompts
 
61
  *->+: 10000 prompts
 
62
  +->$: 10000 prompts
 
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  +->/: 10000 prompts
 
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  +->-: 10000 prompts
 
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  +->%: 10000 prompts
 
66
  +->*: 10000 prompts
67
- Layers: [0, 1, 2]
68
-
69
- Collecting operand activation data...
70
-
71
 
72
  Running analyses...
73
-
74
-
75
-
76
-
77
-
78
-
79
  A1: Linear decodability RΒ² (mean
80
  across pairs)
81
 
 
1
  ======================================================================
2
  OPERAND REPRESENTATION ANALYSIS (A1–A6)
3
  ======================================================================
4
+
5
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=div]_[int=False].pt: 10000 results for $->/
6
+ Layers: [0, 1, 2]
7
 
8
+ Collecting operand activation data (streaming one file at a time)...
9
+
10
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=div]_[int=False].pt: 10000 results for $->/
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
11
  $->/: 10000 prompts
12
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=minus]_[int=False].pt: 10000 results for $->-
13
  $->-: 10000 prompts
14
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mod]_[int=False].pt: 10000 results for $->%
15
  $->%: 10000 prompts
16
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mul]_[int=False].pt: 10000 results for $->*
17
  $->*: 10000 prompts
18
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=plus]_[int=False].pt: 10000 results for $->+
19
  $->+: 10000 prompts
20
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=concat]_[int=False].pt: 10000 results for /->$
21
  /->$: 10000 prompts
22
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=minus]_[int=False].pt: 10000 results for /->-
23
  /->-: 10000 prompts
24
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mod]_[int=False].pt: 10000 results for /->%
25
  /->%: 10000 prompts
26
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mul]_[int=False].pt: 10000 results for /->*
27
  /->*: 10000 prompts
28
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=plus]_[int=False].pt: 10000 results for /->+
29
  /->+: 10000 prompts
30
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=concat]_[int=False].pt: 10000 results for -->$
31
  -->$: 10000 prompts
32
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=div]_[int=False].pt: 10000 results for -->/
33
  -->/: 10000 prompts
34
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mod]_[int=False].pt: 10000 results for -->%
35
  -->%: 10000 prompts
36
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mul]_[int=False].pt: 10000 results for -->*
37
  -->*: 10000 prompts
38
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=plus]_[int=False].pt: 10000 results for -->+
39
  -->+: 10000 prompts
40
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=concat]_[int=False].pt: 10000 results for %->$
41
  %->$: 10000 prompts
42
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=div]_[int=False].pt: 10000 results for %->/
43
  %->/: 10000 prompts
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+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=minus]_[int=False].pt: 10000 results for %->-
45
  %->-: 10000 prompts
46
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=mul]_[int=False].pt: 10000 results for %->*
47
  %->*: 10000 prompts
48
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=plus]_[int=False].pt: 10000 results for %->+
49
  %->+: 10000 prompts
50
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=concat]_[int=False].pt: 10000 results for *->$
51
  *->$: 10000 prompts
52
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=div]_[int=False].pt: 10000 results for *->/
53
  *->/: 10000 prompts
54
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=minus]_[int=False].pt: 10000 results for *->-
55
  *->-: 10000 prompts
56
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=mod]_[int=False].pt: 10000 results for *->%
57
  *->%: 10000 prompts
58
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=plus]_[int=False].pt: 10000 results for *->+
59
  *->+: 10000 prompts
60
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=concat]_[int=False].pt: 10000 results for +->$
61
  +->$: 10000 prompts
62
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=div]_[int=False].pt: 10000 results for +->/
63
  +->/: 10000 prompts
64
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=minus]_[int=False].pt: 10000 results for +->-
65
  +->-: 10000 prompts
66
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mod]_[int=False].pt: 10000 results for +->%
67
  +->%: 10000 prompts
68
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mul]_[int=False].pt: 10000 results for +->*
69
  +->*: 10000 prompts
 
 
 
 
70
 
71
  Running analyses...
72
+
73
+
74
+
75
+
76
+
77
+
78
  A1: Linear decodability RΒ² (mean
79
  across pairs)
80
 
Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/operation_disambiguation/out.txt CHANGED
@@ -1,79 +1,79 @@
1
  ======================================================================
2
  OPERATION DISAMBIGUATION ANALYSIS (D13–D15)
3
  ======================================================================
 
 
 
4
 
5
- Loading results...
6
-
7
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=div]_[int=False].pt: 10000 results for $->/
8
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=minus]_[int=False].pt: 10000 results for $->-
9
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mod]_[int=False].pt: 10000 results for $->%
10
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mul]_[int=False].pt: 10000 results for $->*
11
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=plus]_[int=False].pt: 10000 results for $->+
12
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=concat]_[int=False].pt: 10000 results for /->$
13
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=minus]_[int=False].pt: 10000 results for /->-
14
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mod]_[int=False].pt: 10000 results for /->%
15
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mul]_[int=False].pt: 10000 results for /->*
16
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=plus]_[int=False].pt: 10000 results for /->+
17
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=concat]_[int=False].pt: 10000 results for -->$
18
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=div]_[int=False].pt: 10000 results for -->/
19
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mod]_[int=False].pt: 10000 results for -->%
20
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mul]_[int=False].pt: 10000 results for -->*
21
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=plus]_[int=False].pt: 10000 results for -->+
22
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=concat]_[int=False].pt: 10000 results for %->$
23
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=div]_[int=False].pt: 10000 results for %->/
24
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=minus]_[int=False].pt: 10000 results for %->-
25
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=mul]_[int=False].pt: 10000 results for %->*
26
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=plus]_[int=False].pt: 10000 results for %->+
27
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=concat]_[int=False].pt: 10000 results for *->$
28
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=div]_[int=False].pt: 10000 results for *->/
29
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=minus]_[int=False].pt: 10000 results for *->-
30
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=mod]_[int=False].pt: 10000 results for *->%
31
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=plus]_[int=False].pt: 10000 results for *->+
32
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=concat]_[int=False].pt: 10000 results for +->$
33
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=div]_[int=False].pt: 10000 results for +->/
34
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=minus]_[int=False].pt: 10000 results for +->-
35
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mod]_[int=False].pt: 10000 results for +->%
36
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mul]_[int=False].pt: 10000 results for +->*
37
  $->/: 10000 prompts
 
38
  $->-: 10000 prompts
 
39
  $->%: 10000 prompts
 
40
  $->*: 10000 prompts
 
41
  $->+: 10000 prompts
 
42
  /->$: 10000 prompts
 
43
  /->-: 10000 prompts
 
44
  /->%: 10000 prompts
 
45
  /->*: 10000 prompts
 
46
  /->+: 10000 prompts
 
47
  -->$: 10000 prompts
 
48
  -->/: 10000 prompts
 
49
  -->%: 10000 prompts
 
50
  -->*: 10000 prompts
 
51
  -->+: 10000 prompts
 
52
  %->$: 10000 prompts
 
53
  %->/: 10000 prompts
 
54
  %->-: 10000 prompts
 
55
  %->*: 10000 prompts
 
56
  %->+: 10000 prompts
 
57
  *->$: 10000 prompts
 
58
  *->/: 10000 prompts
 
59
  *->-: 10000 prompts
 
60
  *->%: 10000 prompts
 
61
  *->+: 10000 prompts
 
62
  +->$: 10000 prompts
 
63
  +->/: 10000 prompts
 
64
  +->-: 10000 prompts
 
65
  +->%: 10000 prompts
 
66
  +->*: 10000 prompts
67
- Layers: [0, 1, 2]
68
  Semantic operations: ['$', '%', '/', 'addition', 'multiplication', 'subtraction'] (n=6)
69
 
70
- Collecting probe data...
71
-
72
  Running D13/D15...
73
-
74
 
75
  Running D14...
76
-
77
  D13: Semantic operation probe accuracy
78
  (chance=0.17)
79
 
 
1
  ======================================================================
2
  OPERATION DISAMBIGUATION ANALYSIS (D13–D15)
3
  ======================================================================
4
+
5
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=div]_[int=False].pt: 10000 results for $->/
6
+ Layers: [0, 1, 2]
7
 
8
+ Collecting data (streaming one file at a time)...
9
+
10
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=div]_[int=False].pt: 10000 results for $->/
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
11
  $->/: 10000 prompts
12
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=minus]_[int=False].pt: 10000 results for $->-
13
  $->-: 10000 prompts
14
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mod]_[int=False].pt: 10000 results for $->%
15
  $->%: 10000 prompts
16
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mul]_[int=False].pt: 10000 results for $->*
17
  $->*: 10000 prompts
18
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=plus]_[int=False].pt: 10000 results for $->+
19
  $->+: 10000 prompts
20
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=concat]_[int=False].pt: 10000 results for /->$
21
  /->$: 10000 prompts
22
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=minus]_[int=False].pt: 10000 results for /->-
23
  /->-: 10000 prompts
24
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mod]_[int=False].pt: 10000 results for /->%
25
  /->%: 10000 prompts
26
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mul]_[int=False].pt: 10000 results for /->*
27
  /->*: 10000 prompts
28
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=plus]_[int=False].pt: 10000 results for /->+
29
  /->+: 10000 prompts
30
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=concat]_[int=False].pt: 10000 results for -->$
31
  -->$: 10000 prompts
32
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=div]_[int=False].pt: 10000 results for -->/
33
  -->/: 10000 prompts
34
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mod]_[int=False].pt: 10000 results for -->%
35
  -->%: 10000 prompts
36
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mul]_[int=False].pt: 10000 results for -->*
37
  -->*: 10000 prompts
38
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=plus]_[int=False].pt: 10000 results for -->+
39
  -->+: 10000 prompts
40
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=concat]_[int=False].pt: 10000 results for %->$
41
  %->$: 10000 prompts
42
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=div]_[int=False].pt: 10000 results for %->/
43
  %->/: 10000 prompts
44
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=minus]_[int=False].pt: 10000 results for %->-
45
  %->-: 10000 prompts
46
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=mul]_[int=False].pt: 10000 results for %->*
47
  %->*: 10000 prompts
48
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=plus]_[int=False].pt: 10000 results for %->+
49
  %->+: 10000 prompts
50
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=concat]_[int=False].pt: 10000 results for *->$
51
  *->$: 10000 prompts
52
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=div]_[int=False].pt: 10000 results for *->/
53
  *->/: 10000 prompts
54
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=minus]_[int=False].pt: 10000 results for *->-
55
  *->-: 10000 prompts
56
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=mod]_[int=False].pt: 10000 results for *->%
57
  *->%: 10000 prompts
58
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=plus]_[int=False].pt: 10000 results for *->+
59
  *->+: 10000 prompts
60
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=concat]_[int=False].pt: 10000 results for +->$
61
  +->$: 10000 prompts
62
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=div]_[int=False].pt: 10000 results for +->/
63
  +->/: 10000 prompts
64
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=minus]_[int=False].pt: 10000 results for +->-
65
  +->-: 10000 prompts
66
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mod]_[int=False].pt: 10000 results for +->%
67
  +->%: 10000 prompts
68
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mul]_[int=False].pt: 10000 results for +->*
69
  +->*: 10000 prompts
 
70
  Semantic operations: ['$', '%', '/', 'addition', 'multiplication', 'subtraction'] (n=6)
71
 
 
 
72
  Running D13/D15...
73
+
74
 
75
  Running D14...
76
+
77
  D13: Semantic operation probe accuracy
78
  (chance=0.17)
79
 
Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/sign_magnitude/b9_magnitude_scaling.png CHANGED

Git LFS Details

  • SHA256: 730c9ecf5ecb9375d365312e2e1a29700665283e99add7ed3ce742eb442a637e
  • Pointer size: 131 Bytes
  • Size of remote file: 457 kB

Git LFS Details

  • SHA256: 8907d479e4d8bbfcbd69e6c4c6b9c54ba213ee1dccb880ad905ca5f49cea0ac9
  • Pointer size: 131 Bytes
  • Size of remote file: 457 kB
Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/sign_magnitude/metrics.json CHANGED
The diff for this file is too large to render. See raw diff
 
Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/sign_magnitude/out.txt CHANGED
@@ -1,99 +1,99 @@
1
  ======================================================================
2
  SIGN AND MAGNITUDE ANALYSIS (B7–B9)
3
  ======================================================================
 
 
 
4
 
5
- Loading results...
6
-
7
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=div]_[int=False].pt: 10000 results for $->/
8
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=minus]_[int=False].pt: 10000 results for $->-
9
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mod]_[int=False].pt: 10000 results for $->%
10
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mul]_[int=False].pt: 10000 results for $->*
11
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=plus]_[int=False].pt: 10000 results for $->+
12
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=concat]_[int=False].pt: 10000 results for /->$
13
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=minus]_[int=False].pt: 10000 results for /->-
14
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mod]_[int=False].pt: 10000 results for /->%
15
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mul]_[int=False].pt: 10000 results for /->*
16
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=plus]_[int=False].pt: 10000 results for /->+
17
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=concat]_[int=False].pt: 10000 results for -->$
18
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=div]_[int=False].pt: 10000 results for -->/
19
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mod]_[int=False].pt: 10000 results for -->%
20
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mul]_[int=False].pt: 10000 results for -->*
21
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=plus]_[int=False].pt: 10000 results for -->+
22
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=concat]_[int=False].pt: 10000 results for %->$
23
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=div]_[int=False].pt: 10000 results for %->/
24
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=minus]_[int=False].pt: 10000 results for %->-
25
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=mul]_[int=False].pt: 10000 results for %->*
26
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=plus]_[int=False].pt: 10000 results for %->+
27
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=concat]_[int=False].pt: 10000 results for *->$
28
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=div]_[int=False].pt: 10000 results for *->/
29
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=minus]_[int=False].pt: 10000 results for *->-
30
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=mod]_[int=False].pt: 10000 results for *->%
31
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=plus]_[int=False].pt: 10000 results for *->+
32
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=concat]_[int=False].pt: 10000 results for +->$
33
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=div]_[int=False].pt: 10000 results for +->/
34
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=minus]_[int=False].pt: 10000 results for +->-
35
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mod]_[int=False].pt: 10000 results for +->%
36
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mul]_[int=False].pt: 10000 results for +->*
37
  $->/: 10000 prompts
 
38
  $->-: 10000 prompts
 
39
  $->%: 10000 prompts
 
40
  $->*: 10000 prompts
 
41
  $->+: 10000 prompts
 
42
  /->$: 10000 prompts
 
43
  /->-: 10000 prompts
 
44
  /->%: 10000 prompts
 
45
  /->*: 10000 prompts
 
46
  /->+: 10000 prompts
 
47
  -->$: 10000 prompts
 
48
  -->/: 10000 prompts
 
49
  -->%: 10000 prompts
 
50
  -->*: 10000 prompts
 
51
  -->+: 10000 prompts
 
52
  %->$: 10000 prompts
 
53
  %->/: 10000 prompts
 
54
  %->-: 10000 prompts
 
55
  %->*: 10000 prompts
 
56
  %->+: 10000 prompts
 
57
  *->$: 10000 prompts
 
58
  *->/: 10000 prompts
 
59
  *->-: 10000 prompts
 
60
  *->%: 10000 prompts
 
61
  *->+: 10000 prompts
 
62
  +->$: 10000 prompts
 
63
  +->/: 10000 prompts
 
64
  +->-: 10000 prompts
 
65
  +->%: 10000 prompts
 
66
  +->*: 10000 prompts
67
- Layers: [0, 1, 2]
68
-
69
- Collecting data...
70
-
71
 
72
  Running B7...
73
-
74
 
75
  Running B8...
76
-
77
 
78
  Running B9...
79
-
80
- B7: Sign vs magnitude encoding (mean across pairs)
81
-
82
- Layer Ctx Pos AUROC-sign RΒ²-magnitude RΒ²-raw
83
- ─────────────────────────────────────────────────────────────
84
- L0 std eq_sign 0.925 0.579 0.637
85
- L0 std answer 0.954 0.525 0.562
86
- L0 over eq_sign 0.924 0.578 0.637
87
- L0 over answer 0.953 0.527 0.564
88
- L1 std eq_sign 1.000 0.842 0.851
89
- L1 std answer 0.998 0.865 0.870
90
- L1 over eq_sign 1.000 0.813 0.825
91
- L1 over answer 0.997 0.857 0.864
92
- L2 std eq_sign 1.000 0.786 0.802
93
- L2 std answer 1.000 0.856 0.861
94
- L2 over eq_sign 1.000 0.762 0.784
95
- L2 over answer 1.000 0.850 0.856
96
-
97
  B8: Is a > b encoded? AUROC (subtraction
98
  pairs only)
99
 
@@ -115,17 +115,17 @@ Running B9...
115
  -->+ L1 0.805 0.973 1.000
116
  -->+ L2 0.784 0.990 1.000
117
 
118
- B9: Answer magnitude scaling (mean across pairs)
119
-
120
- Layer Ctx Pearson-r(norm) RΒ²(norm-scalar) RΒ²(vector)
121
- ───────────────────────────────────────────────────────────────
122
- L0 std -0.195 0.052 0.525
123
- L0 over -0.183 0.053 0.527
124
- L1 std 0.107 0.051 0.865
125
- L1 over 0.132 0.053 0.857
126
- L2 std 0.056 0.103 0.856
127
- L2 over 0.024 0.080 0.850
128
-
129
 
130
  Generating plots...
131
  Saved: results/Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/sign_magnitude/b7_sign_magnitude.png
 
1
  ======================================================================
2
  SIGN AND MAGNITUDE ANALYSIS (B7–B9)
3
  ======================================================================
4
+
5
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=div]_[int=False].pt: 10000 results for $->/
6
+ Layers: [0, 1, 2]
7
 
8
+ Collecting data (streaming one file at a time)...
9
+
10
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=div]_[int=False].pt: 10000 results for $->/
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
11
  $->/: 10000 prompts
12
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=minus]_[int=False].pt: 10000 results for $->-
13
  $->-: 10000 prompts
14
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mod]_[int=False].pt: 10000 results for $->%
15
  $->%: 10000 prompts
16
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mul]_[int=False].pt: 10000 results for $->*
17
  $->*: 10000 prompts
18
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=plus]_[int=False].pt: 10000 results for $->+
19
  $->+: 10000 prompts
20
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=concat]_[int=False].pt: 10000 results for /->$
21
  /->$: 10000 prompts
22
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=minus]_[int=False].pt: 10000 results for /->-
23
  /->-: 10000 prompts
24
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mod]_[int=False].pt: 10000 results for /->%
25
  /->%: 10000 prompts
26
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mul]_[int=False].pt: 10000 results for /->*
27
  /->*: 10000 prompts
28
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=plus]_[int=False].pt: 10000 results for /->+
29
  /->+: 10000 prompts
30
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=concat]_[int=False].pt: 10000 results for -->$
31
  -->$: 10000 prompts
32
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=div]_[int=False].pt: 10000 results for -->/
33
  -->/: 10000 prompts
34
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mod]_[int=False].pt: 10000 results for -->%
35
  -->%: 10000 prompts
36
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mul]_[int=False].pt: 10000 results for -->*
37
  -->*: 10000 prompts
38
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=plus]_[int=False].pt: 10000 results for -->+
39
  -->+: 10000 prompts
40
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=concat]_[int=False].pt: 10000 results for %->$
41
  %->$: 10000 prompts
42
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=div]_[int=False].pt: 10000 results for %->/
43
  %->/: 10000 prompts
44
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=minus]_[int=False].pt: 10000 results for %->-
45
  %->-: 10000 prompts
46
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=mul]_[int=False].pt: 10000 results for %->*
47
  %->*: 10000 prompts
48
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=plus]_[int=False].pt: 10000 results for %->+
49
  %->+: 10000 prompts
50
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=concat]_[int=False].pt: 10000 results for *->$
51
  *->$: 10000 prompts
52
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=div]_[int=False].pt: 10000 results for *->/
53
  *->/: 10000 prompts
54
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=minus]_[int=False].pt: 10000 results for *->-
55
  *->-: 10000 prompts
56
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=mod]_[int=False].pt: 10000 results for *->%
57
  *->%: 10000 prompts
58
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=plus]_[int=False].pt: 10000 results for *->+
59
  *->+: 10000 prompts
60
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=concat]_[int=False].pt: 10000 results for +->$
61
  +->$: 10000 prompts
62
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=div]_[int=False].pt: 10000 results for +->/
63
  +->/: 10000 prompts
64
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=minus]_[int=False].pt: 10000 results for +->-
65
  +->-: 10000 prompts
66
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mod]_[int=False].pt: 10000 results for +->%
67
  +->%: 10000 prompts
68
+ βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mul]_[int=False].pt: 10000 results for +->*
69
  +->*: 10000 prompts
70
+ Processed 30 pairs.
 
 
 
71
 
72
  Running B7...
73
+
74
 
75
  Running B8...
76
+
77
 
78
  Running B9...
79
+
80
+ B7: Sign vs magnitude encoding (mean across pairs)
81
+
82
+ Layer Ctx Pos AUROC-si… RΒ²-magnit… F-magnit… RΒ²-raw F-raw
83
+ ──────────────────────────────────────────────────────────────────────────────
84
+ L0 std eq_sign 0.925 0.579 0.240 0.637 0.223
85
+ L0 std answer 0.954 0.525 0.732 0.562 0.712
86
+ L0 over eq_sign 0.924 0.578 0.232 0.637 0.215
87
+ L0 over answer 0.953 0.527 0.702 0.564 0.681
88
+ L1 std eq_sign 1.000 0.842 0.675 0.851 0.681
89
+ L1 std answer 0.998 0.865 0.770 0.870 0.764
90
+ L1 over eq_sign 1.000 0.813 0.655 0.825 0.660
91
+ L1 over answer 0.997 0.857 0.737 0.864 0.732
92
+ L2 std eq_sign 1.000 0.786 0.915 0.802 0.912
93
+ L2 std answer 1.000 0.856 0.791 0.861 0.792
94
+ L2 over eq_sign 1.000 0.762 0.880 0.784 0.876
95
+ L2 over answer 1.000 0.850 0.763 0.856 0.765
96
+
97
  B8: Is a > b encoded? AUROC (subtraction
98
  pairs only)
99
 
 
115
  -->+ L1 0.805 0.973 1.000
116
  -->+ L2 0.784 0.990 1.000
117
 
118
+ B9: Answer magnitude scaling (mean across pairs)
119
+
120
+ Layer Ctx Pearson-r(norm) RΒ²(norm-scalar) RΒ²(vector) F(vector)
121
+ ───────────────────────────────────────────────────────────────────────────
122
+ L0 std -0.195 0.052 0.525 0.732
123
+ L0 over -0.183 0.053 0.527 0.702
124
+ L1 std 0.107 0.051 0.865 0.770
125
+ L1 over 0.132 0.053 0.857 0.737
126
+ L2 std 0.056 0.103 0.856 0.791
127
+ L2 over 0.024 0.080 0.850 0.763
128
+
129
 
130
  Generating plots...
131
  Saved: results/Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/sign_magnitude/b7_sign_magnitude.png
Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/superposition/metrics.json CHANGED
@@ -953,12 +953,14 @@
953
  },
954
  "j31_carry_borrow_dual": {
955
  "0": {
956
- "dual_neurons": []
 
957
  },
958
  "1": {
959
  "dual_neurons": [
960
  99
961
- ]
 
962
  },
963
  "2": {
964
  "dual_neurons": [
@@ -1009,6 +1011,9 @@
1009
  991,
1010
  1006,
1011
  1016
 
 
 
1012
  ]
1013
  }
1014
  },
 
953
  },
954
  "j31_carry_borrow_dual": {
955
  "0": {
956
+ "dual_neurons": [],
957
+ "clock_neurons": []
958
  },
959
  "1": {
960
  "dual_neurons": [
961
  99
962
+ ],
963
+ "clock_neurons": []
964
  },
965
  "2": {
966
  "dual_neurons": [
 
1011
  991,
1012
  1006,
1013
  1016
1014
+ ],
1015
+ "clock_neurons": [
1016
+ 222
1017
  ]
1018
  }
1019
  },
Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/superposition/out.txt CHANGED
@@ -1,85 +1,87 @@
1
  ======================================================================
2
  SUPERPOSITION AND POLYSEMANTICITY ANALYSIS (J30–J32)
3
  ======================================================================
4
-
5
- Loading results...
6
-
7
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=div]_[int=False].pt: 10000 results for $->/
8
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=minus]_[int=False].pt: 10000 results for $->-
9
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mod]_[int=False].pt: 10000 results for $->%
10
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mul]_[int=False].pt: 10000 results for $->*
11
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=plus]_[int=False].pt: 10000 results for $->+
12
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=concat]_[int=False].pt: 10000 results for /->$
13
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=minus]_[int=False].pt: 10000 results for /->-
14
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mod]_[int=False].pt: 10000 results for /->%
15
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mul]_[int=False].pt: 10000 results for /->*
16
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=plus]_[int=False].pt: 10000 results for /->+
17
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=concat]_[int=False].pt: 10000 results for -->$
18
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=div]_[int=False].pt: 10000 results for -->/
19
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mod]_[int=False].pt: 10000 results for -->%
20
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mul]_[int=False].pt: 10000 results for -->*
21
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=plus]_[int=False].pt: 10000 results for -->+
22
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=concat]_[int=False].pt: 10000 results for %->$
23
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=div]_[int=False].pt: 10000 results for %->/
24
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=minus]_[int=False].pt: 10000 results for %->-
25
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=mul]_[int=False].pt: 10000 results for %->*
26
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=plus]_[int=False].pt: 10000 results for %->+
27
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=concat]_[int=False].pt: 10000 results for *->$
28
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=div]_[int=False].pt: 10000 results for *->/
29
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=minus]_[int=False].pt: 10000 results for *->-
30
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=mod]_[int=False].pt: 10000 results for *->%
31
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=plus]_[int=False].pt: 10000 results for *->+
32
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=concat]_[int=False].pt: 10000 results for +->$
33
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=div]_[int=False].pt: 10000 results for +->/
34
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=minus]_[int=False].pt: 10000 results for +->-
35
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mod]_[int=False].pt: 10000 results for +->%
36
- βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mul]_[int=False].pt: 10000 results for +->*
37
  $->/: 10000 prompts
 
38
  $->-: 10000 prompts
 
39
  $->%: 10000 prompts
 
40
  $->*: 10000 prompts
 
41
  $->+: 10000 prompts
 
42
  /->$: 10000 prompts
 
43
  /->-: 10000 prompts
 
44
  /->%: 10000 prompts
 
45
  /->*: 10000 prompts
 
46
  /->+: 10000 prompts
 
47
  -->$: 10000 prompts
 
48
  -->/: 10000 prompts
 
49
  -->%: 10000 prompts
 
50
  -->*: 10000 prompts
 
51
  -->+: 10000 prompts
 
52
  %->$: 10000 prompts
 
53
  %->/: 10000 prompts
 
54
  %->-: 10000 prompts
 
55
  %->*: 10000 prompts
 
56
  %->+: 10000 prompts
 
57
  *->$: 10000 prompts
 
58
  *->/: 10000 prompts
 
59
  *->-: 10000 prompts
 
60
  *->%: 10000 prompts
 
61
  *->+: 10000 prompts
 
62
  +->$: 10000 prompts
 
63
  +->/: 10000 prompts
 
64
  +->-: 10000 prompts
 
65
  +->%: 10000 prompts
 
66
  +->*: 10000 prompts
67
- Layers: [0, 1, 2]
68
-
69
- Loading lasso JSONs...
70
- Loaded 30 lasso JSONs: ['$->%', '$->*', '$->+', '$->-', '$->/', '%->$',
71
- '%->*', '%->+', '%->-', '%->/', '*->$', '*->%', '*->+', '*->-', '*->/', '+->$',
72
- '+->%', '+->*', '+->-', '+->/', '-->$', '-->%', '-->*', '-->+', '-->/', '/->$',
73
- '/->%', '/->*', '/->+', '/->-']
74
 
75
  Running J30 (polysemantic neurons)...
76
-
77
 
78
  Running J31 (carry + borrow dual neurons)...
79
-
80
 
81
  Running J32 (intrinsic dimensionality)...
82
-
83
  J30: Polysemantic neurons β€” $->%
84
  ┏━━━━━━━┳━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
85
  ┃ Layer ┃ n_polysemantic ┃ Top polysemantic indices ┃
@@ -381,16 +383,16 @@ Running J32 (intrinsic dimensionality)...
381
  β”‚ L2 β”‚ 5 β”‚ [190, 218, 381, 520, 607] β”‚
382
  β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
383
  J31: Dual-role neurons (carry + borrow)
384
- ┏━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
385
- ┃ Layer ┃ n_dual (>0.7 AUROC both) ┃ Dual neuron indices ┃
386
- ┑━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┩
387
- β”‚ L0 β”‚ 0 β”‚ [] β”‚
388
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
389
- β”‚ L1 β”‚ 1 β”‚ [99] β”‚
390
- β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
391
- β”‚ L2 β”‚ 47 β”‚ [6, 33, 59, 65, 85, 133, 142, 184, 186, β”‚
392
- β”‚ β”‚ β”‚ 234]... β”‚
393
- β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
394
  J32: Intrinsic dimensionality β€” std context
395
  ┏━━━━━━━┳━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━┓
396
  ┃ Layer ┃ PCs (opA, 90%) ┃ PCs (opB, 90%) ┃ Subspace overlap ┃ Total dims ┃
 
1
  ======================================================================
2
  SUPERPOSITION AND POLYSEMANTICITY ANALYSIS (J30–J32)
3
  ======================================================================
4
+
 
 
5
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=div]_[int=False].pt: 10000 results for $->/
6
+ Layers: [0, 1, 2]
7
+
8
+ Loading lasso JSONs...
9
+ Loaded 30 lasso JSONs: ['$->%', '$->*', '$->+', '$->-', '$->/', '%->$',
10
+ '%->*', '%->+', '%->-', '%->/', '*->$', '*->%', '*->+', '*->-', '*->/', '+->$',
11
+ '+->%', '+->*', '+->-', '+->/', '-->$', '-->%', '-->*', '-->+', '-->/', '/->$',
12
+ '/->%', '/->*', '/->+', '/->-']
13
+
14
+ Collecting data (streaming one file at a time)...
15
+
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
16
  $->/: 10000 prompts
17
+
18
  $->-: 10000 prompts
19
+
20
  $->%: 10000 prompts
21
+
22
  $->*: 10000 prompts
23
+
24
  $->+: 10000 prompts
25
+
26
  /->$: 10000 prompts
27
+
28
  /->-: 10000 prompts
29
+
30
  /->%: 10000 prompts
31
+
32
  /->*: 10000 prompts
33
+
34
  /->+: 10000 prompts
35
+
36
  -->$: 10000 prompts
37
+
38
  -->/: 10000 prompts
39
+
40
  -->%: 10000 prompts
41
+
42
  -->*: 10000 prompts
43
+
44
  -->+: 10000 prompts
45
+
46
  %->$: 10000 prompts
47
+
48
  %->/: 10000 prompts
49
+
50
  %->-: 10000 prompts
51
+
52
  %->*: 10000 prompts
53
+
54
  %->+: 10000 prompts
55
+
56
  *->$: 10000 prompts
57
+
58
  *->/: 10000 prompts
59
+
60
  *->-: 10000 prompts
61
+
62
  *->%: 10000 prompts
63
+
64
  *->+: 10000 prompts
65
+
66
  +->$: 10000 prompts
67
+
68
  +->/: 10000 prompts
69
+
70
  +->-: 10000 prompts
71
+
72
  +->%: 10000 prompts
73
+
74
  +->*: 10000 prompts
75
+
 
 
 
 
 
 
76
 
77
  Running J30 (polysemantic neurons)...
78
+
79
 
80
  Running J31 (carry + borrow dual neurons)...
81
+
82
 
83
  Running J32 (intrinsic dimensionality)...
84
+
85
  J30: Polysemantic neurons β€” $->%
86
  ┏━━━━━━━┳━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
87
  ┃ Layer ┃ n_polysemantic ┃ Top polysemantic indices ┃
 
383
  β”‚ L2 β”‚ 5 β”‚ [190, 218, 381, 520, 607] β”‚
384
  β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
385
  J31: Dual-role neurons (carry + borrow)
386
+ ┏━━━━━━━┳━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
387
+ ┃ Layer ┃ n_dual (AUROC>0.7) ┃ n_clock (F-RΒ²>0.1) ┃ Dual neuron indices ┃
388
+ ┑━━━━━━━╇━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━━━━━┩
389
+ β”‚ L0 β”‚ 0 β”‚ 0 β”‚ [] β”‚
390
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
391
+ β”‚ L1 β”‚ 1 β”‚ 0 β”‚ [99] β”‚
392
+ β”œβ”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
393
+ β”‚ L2 β”‚ 47 β”‚ 1 β”‚ [6, 33, 59, 65, 85, 133, β”‚
394
+ β”‚ β”‚ β”‚ β”‚ 142, 184, 186, 234]... β”‚
395
+ β””β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”΄β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
396
  J32: Intrinsic dimensionality β€” std context
397
  ┏━━━━━━━┳━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━┓
398
  ┃ Layer ┃ PCs (opA, 90%) ┃ PCs (opB, 90%) ┃ Subspace overlap ┃ Total dims ┃
Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/weight_analysis/fourier_phase_distribution.png CHANGED

Git LFS Details

  • SHA256: c33ccaf1203d2a9314c2e0a77e6fd384f83f41c764904cabc39b90fdf0079878
  • Pointer size: 132 Bytes
  • Size of remote file: 2.23 MB

Git LFS Details

  • SHA256: 7fd64e514f5523da3e19ebf7bce75ca614653e8fea1c3ae1d2025ae315604a8f
  • Pointer size: 132 Bytes
  • Size of remote file: 2.23 MB
Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/weight_analysis/out.txt CHANGED
@@ -8,59 +8,86 @@ Loading Lasso neuron indices...
8
 
9
  Loading model weights (CPU)...
10
 
11
- Loading baseline activations...
12
-
13
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=div]_[int=False].pt: 10000 results for $->/
 
14
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=minus]_[int=False].pt: 10000 results for $->-
 
15
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mod]_[int=False].pt: 10000 results for $->%
 
16
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mul]_[int=False].pt: 10000 results for $->*
 
17
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=plus]_[int=False].pt: 10000 results for $->+
 
18
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=concat]_[int=False].pt: 10000 results for /->$
 
19
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=minus]_[int=False].pt: 10000 results for /->-
 
20
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mod]_[int=False].pt: 10000 results for /->%
 
21
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mul]_[int=False].pt: 10000 results for /->*
 
22
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=plus]_[int=False].pt: 10000 results for /->+
 
23
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=concat]_[int=False].pt: 10000 results for -->$
 
24
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=div]_[int=False].pt: 10000 results for -->/
 
25
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mod]_[int=False].pt: 10000 results for -->%
 
26
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mul]_[int=False].pt: 10000 results for -->*
 
27
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=plus]_[int=False].pt: 10000 results for -->+
 
28
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=concat]_[int=False].pt: 10000 results for %->$
 
29
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=div]_[int=False].pt: 10000 results for %->/
 
30
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=minus]_[int=False].pt: 10000 results for %->-
 
31
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=mul]_[int=False].pt: 10000 results for %->*
 
32
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=plus]_[int=False].pt: 10000 results for %->+
 
33
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=concat]_[int=False].pt: 10000 results for *->$
 
34
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=div]_[int=False].pt: 10000 results for *->/
 
35
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=minus]_[int=False].pt: 10000 results for *->-
 
36
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=mod]_[int=False].pt: 10000 results for *->%
 
37
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=plus]_[int=False].pt: 10000 results for *->+
 
38
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=concat]_[int=False].pt: 10000 results for +->$
 
39
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=div]_[int=False].pt: 10000 results for +->/
 
40
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=minus]_[int=False].pt: 10000 results for +->-
 
41
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mod]_[int=False].pt: 10000 results for +->%
 
42
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mul]_[int=False].pt: 10000 results for +->*
 
43
 
44
- Computing Fourier basis directions from baseline activations...
45
-
46
  Layer 0: ['sin_a', 'cos_a', 'sin_b', 'cos_b']
47
  Layer 1: ['sin_a', 'cos_a', 'sin_b', 'cos_b']
48
  Layer 2: ['sin_a', 'cos_a', 'sin_b', 'cos_b']
49
 
50
  Running weight analysis (logit lens + Fourier projection)...
51
  Layer 0: 1009 unique Lasso neurons
52
-
53
  L0 neurons: 0%| | 0/1009 [00:00<?, ?it/s]
54
  L0 neurons: 58%|β–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–Š | 588/1009 [00:00<00:00, 5772.53it/s]
55
 
56
  Layer 1: 1024 unique Lasso neurons
57
-
58
  L1 neurons: 0%| | 0/1024 [00:00<?, ?it/s]
59
  L1 neurons: 97%|β–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–‹| 992/1024 [00:00<00:00, 9916.86it/s]
60
 
61
  Layer 2: 1024 unique Lasso neurons
62
-
63
  L2 neurons: 0%| | 0/1024 [00:00<?, ?it/s]
64
  L2 neurons: 98%|β–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–Š| 1005/1024 [00:00<00:00, 10049.05it/s]
65
 
66
  Analysed 3057 neurons total
 
67
  L0 neurons: 0%| | 0/1009 [00:00<?, ?it/s]
68
  L0 neurons: 23%|β–ˆβ–ˆβ–Ž | 230/1009 [00:00<00:00, 2208.35it/s]
69
 
70
  Layer 1: 1024 unique Lasso neurons
 
71
  L1 neurons: 0%| | 0/1024 [00:00<?, ?it/s]
72
  L1 neurons: 97%|β–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–‹| 989/1024 [00:00<00:00, 9888.57it/s]
73
 
74
  Layer 2: 1024 unique Lasso neurons
 
75
  L2 neurons: 0%| | 0/1024 [00:00<?, ?it/s]
76
  L2 neurons: 98%|β–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–Š| 1000/1024 [00:00<00:00, 9999.41it/s]
77
 
78
  Analysed 3057 neurons total
79
 
80
- Computing Direct Logit Attribution...
81
-
82
 
83
  Saving results...
84
  Saved: results/Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/weight_analysis/weight_analysis.json
85
 
86
- Computing Component DLA (full MLP + attention heads)...
87
-
88
  Saved: results/Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/weight_analysis/component_dla.json
89
 
90
  ======================================================================
@@ -107,8 +134,8 @@ LOGIT LENS SUMMARY (W_out token votes per layer)
107
  FOURIER PHASE SUMMARY (W_in alignment per layer)
108
  ======================================================================
109
  Layer 0 opA: mean_align=0.080 max=0.230 strong(>0.3)=0/1009 top_digits=[(2, 122), (7, 113), (6, 113)]
110
- Layer 0 opB: mean_align=0.085 max=0.264 strong(>0.3)=0/1009 top_digits=[(4, 116), (3, 112), (5, 109)]
111
- Layer 1 opA: mean_align=0.074 max=0.274 strong(>0.3)=0/1024 top_digits=[(9, 131), (8, 121), (6, 111)]
112
  Layer 1 opB: mean_align=0.087 max=0.322 strong(>0.3)=2/1024 top_digits=[(1, 134), (2, 131), (0, 112)]
113
  Layer 2 opA: mean_align=0.069 max=0.205 strong(>0.3)=0/1024 top_digits=[(8, 135), (9, 134), (7, 114)]
114
  Layer 2 opB: mean_align=0.072 max=0.252 strong(>0.3)=0/1024 top_digits=[(6, 138), (7, 125), (1, 117)]
 
8
 
9
  Loading model weights (CPU)...
10
 
11
+ Collecting baseline activations (streaming one file at a time)...
12
+
13
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=div]_[int=False].pt: 10000 results for $->/
14
+ $->/: 10000 prompts
15
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=minus]_[int=False].pt: 10000 results for $->-
16
+ $->-: 10000 prompts
17
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mod]_[int=False].pt: 10000 results for $->%
18
+ $->%: 10000 prompts
19
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=mul]_[int=False].pt: 10000 results for $->*
20
+ $->*: 10000 prompts
21
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=concat]_[oop=plus]_[int=False].pt: 10000 results for $->+
22
+ $->+: 10000 prompts
23
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=concat]_[int=False].pt: 10000 results for /->$
24
+ /->$: 10000 prompts
25
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=minus]_[int=False].pt: 10000 results for /->-
26
+ /->-: 10000 prompts
27
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mod]_[int=False].pt: 10000 results for /->%
28
+ /->%: 10000 prompts
29
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=mul]_[int=False].pt: 10000 results for /->*
30
+ /->*: 10000 prompts
31
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=div]_[oop=plus]_[int=False].pt: 10000 results for /->+
32
+ /->+: 10000 prompts
33
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=concat]_[int=False].pt: 10000 results for -->$
34
+ -->$: 10000 prompts
35
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=div]_[int=False].pt: 10000 results for -->/
36
+ -->/: 10000 prompts
37
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mod]_[int=False].pt: 10000 results for -->%
38
+ -->%: 10000 prompts
39
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mul]_[int=False].pt: 10000 results for -->*
40
+ -->*: 10000 prompts
41
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=plus]_[int=False].pt: 10000 results for -->+
42
+ -->+: 10000 prompts
43
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=concat]_[int=False].pt: 10000 results for %->$
44
+ %->$: 10000 prompts
45
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=div]_[int=False].pt: 10000 results for %->/
46
+ %->/: 10000 prompts
47
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=minus]_[int=False].pt: 10000 results for %->-
48
+ %->-: 10000 prompts
49
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=mul]_[int=False].pt: 10000 results for %->*
50
+ %->*: 10000 prompts
51
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mod]_[oop=plus]_[int=False].pt: 10000 results for %->+
52
+ %->+: 10000 prompts
53
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=concat]_[int=False].pt: 10000 results for *->$
54
+ *->$: 10000 prompts
55
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=div]_[int=False].pt: 10000 results for *->/
56
+ *->/: 10000 prompts
57
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=minus]_[int=False].pt: 10000 results for *->-
58
+ *->-: 10000 prompts
59
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=mod]_[int=False].pt: 10000 results for *->%
60
+ *->%: 10000 prompts
61
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=plus]_[int=False].pt: 10000 results for *->+
62
+ *->+: 10000 prompts
63
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=concat]_[int=False].pt: 10000 results for +->$
64
+ +->$: 10000 prompts
65
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=div]_[int=False].pt: 10000 results for +->/
66
+ +->/: 10000 prompts
67
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=minus]_[int=False].pt: 10000 results for +->-
68
+ +->-: 10000 prompts
69
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mod]_[int=False].pt: 10000 results for +->%
70
+ +->%: 10000 prompts
71
  βœ“ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mul]_[int=False].pt: 10000 results for +->*
72
+ +->*: 10000 prompts
73
 
74
+ Finalizing Fourier directions...
 
75
  Layer 0: ['sin_a', 'cos_a', 'sin_b', 'cos_b']
76
  Layer 1: ['sin_a', 'cos_a', 'sin_b', 'cos_b']
77
  Layer 2: ['sin_a', 'cos_a', 'sin_b', 'cos_b']
78
 
79
  Running weight analysis (logit lens + Fourier projection)...
80
  Layer 0: 1009 unique Lasso neurons
 
81
  L0 neurons: 0%| | 0/1009 [00:00<?, ?it/s]
82
  L0 neurons: 58%|β–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–Š | 588/1009 [00:00<00:00, 5772.53it/s]
83
 
84
  Layer 1: 1024 unique Lasso neurons
 
85
  L1 neurons: 0%| | 0/1024 [00:00<?, ?it/s]
86
  L1 neurons: 97%|β–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–‹| 992/1024 [00:00<00:00, 9916.86it/s]
87
 
88
  Layer 2: 1024 unique Lasso neurons
 
89
  L2 neurons: 0%| | 0/1024 [00:00<?, ?it/s]
90
  L2 neurons: 98%|β–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–Š| 1005/1024 [00:00<00:00, 10049.05it/s]
91
 
92
  Analysed 3057 neurons total
93
+
94
  L0 neurons: 0%| | 0/1009 [00:00<?, ?it/s]
95
  L0 neurons: 23%|β–ˆβ–ˆβ–Ž | 230/1009 [00:00<00:00, 2208.35it/s]
96
 
97
  Layer 1: 1024 unique Lasso neurons
98
+
99
  L1 neurons: 0%| | 0/1024 [00:00<?, ?it/s]
100
  L1 neurons: 97%|β–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–‹| 989/1024 [00:00<00:00, 9888.57it/s]
101
 
102
  Layer 2: 1024 unique Lasso neurons
103
+
104
  L2 neurons: 0%| | 0/1024 [00:00<?, ?it/s]
105
  L2 neurons: 98%|β–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–Š| 1000/1024 [00:00<00:00, 9999.41it/s]
106
 
107
  Analysed 3057 neurons total
108
 
109
+ Finalizing Direct Logit Attribution...
 
110
 
111
  Saving results...
112
  Saved: results/Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/weight_analysis/weight_analysis.json
113
 
114
+ Finalizing Component DLA...
 
115
  Saved: results/Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/weight_analysis/component_dla.json
116
 
117
  ======================================================================
 
134
  FOURIER PHASE SUMMARY (W_in alignment per layer)
135
  ======================================================================
136
  Layer 0 opA: mean_align=0.080 max=0.230 strong(>0.3)=0/1009 top_digits=[(2, 122), (7, 113), (6, 113)]
137
+ Layer 0 opB: mean_align=0.085 max=0.264 strong(>0.3)=0/1009 top_digits=[(4, 116), (3, 112), (5, 110)]
138
+ Layer 1 opA: mean_align=0.074 max=0.274 strong(>0.3)=0/1024 top_digits=[(9, 130), (8, 121), (6, 111)]
139
  Layer 1 opB: mean_align=0.087 max=0.322 strong(>0.3)=2/1024 top_digits=[(1, 134), (2, 131), (0, 112)]
140
  Layer 2 opA: mean_align=0.069 max=0.205 strong(>0.3)=0/1024 top_digits=[(8, 135), (9, 134), (7, 114)]
141
  Layer 2 opB: mean_align=0.072 max=0.252 strong(>0.3)=0/1024 top_digits=[(6, 138), (7, 125), (1, 117)]
Llama-3.3-70B-Instruct-v2-3d-5M-500K-0.1-reverse-padzero-99-256D-3L-4H-1024I/analysis/weight_analysis/weight_analysis.json CHANGED
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