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  1. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/algorithmic_structure/h25_multiplication_vs_addition.png +3 -0
  2. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/algorithmic_structure/h26_generalization_gap.png +3 -0
  3. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/algorithmic_structure/metrics.json +152 -0
  4. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/algorithmic_structure/out.txt +120 -0
  5. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/answer_construction/f20_answer_decodability_by_layer.png +3 -0
  6. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/answer_construction/f21_digit_decodability.png +3 -0
  7. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/answer_construction/metrics.json +708 -0
  8. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/answer_construction/out.txt +185 -0
  9. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/attention/e16a_head_activity_over.png +3 -0
  10. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/attention/e16a_head_activity_std.png +3 -0
  11. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/attention/e16b_head_context_similarity.png +3 -0
  12. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/attention/e18_head_operation_specialization.png +3 -0
  13. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/attention/metrics.json +1406 -0
  14. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/attention/out.txt +91 -0
  15. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/basic/accuracy_bars.png +3 -0
  16. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/basic/accuracy_by_operand_range.png +3 -0
  17. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/basic/outcome_distribution.png +3 -0
  18. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/carry_borrow/c12_carry_borrow_by_layer.png +3 -0
  19. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/carry_borrow/metrics.json +324 -0
  20. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/carry_borrow/out.txt +115 -0
  21. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/information_flow/i28_answer_refinement_by_layer.png +3 -0
  22. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/information_flow/i29_operand_compression.png +3 -0
  23. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/information_flow/metrics.json +414 -0
  24. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/information_flow/out.txt +339 -0
  25. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/lasso/*->+.json +0 -0
  26. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/lasso/*->-.json +0 -0
  27. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/lasso/+->*.json +0 -0
  28. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/lasso/+->-.json +0 -0
  29. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/lasso/-->*.json +0 -0
  30. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/lasso/-->+.json +0 -0
  31. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/operand_interaction/g23_interaction_profile.png +3 -0
  32. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/operand_interaction/g24_interaction_comparison.png +3 -0
  33. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/operand_interaction/metrics.json +1236 -0
  34. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/operand_interaction/out.txt +117 -0
  35. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/operand_representations/a1_linear_decodability.png +3 -0
  36. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/operand_representations/a4_digit_decodability.png +3 -0
  37. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/operand_representations/metrics.json +2138 -0
  38. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/operand_representations/out.txt +0 -0
  39. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/operation_disambiguation/d13_operation_probe_accuracy.png +3 -0
  40. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/operation_disambiguation/d14_symbol_vs_semantic.png +3 -0
  41. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/operation_disambiguation/metrics.json +129 -0
  42. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/operation_disambiguation/out.txt +118 -0
  43. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/sign_magnitude/b7_sign_magnitude.png +3 -0
  44. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/sign_magnitude/b9_magnitude_scaling.png +3 -0
  45. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/sign_magnitude/metrics.json +750 -0
  46. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/sign_magnitude/out.txt +81 -0
  47. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/superposition/j30_polysemantic_neurons.png +3 -0
  48. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/superposition/j31_carry_borrow_neurons.png +3 -0
  49. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/superposition/j32_intrinsic_dimensionality.png +3 -0
  50. Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/superposition/metrics.json +344 -0
Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/algorithmic_structure/h25_multiplication_vs_addition.png ADDED

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Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/algorithmic_structure/metrics.json ADDED
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+ {
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+ "h25_multiplication_vs_addition": {
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+ "0": {
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+ "r2_add_within": 0.986817228794098,
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+ "r2_mul_within": 0.9726768493652344,
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+ "r2_add_to_mul": -1.2964520454406738,
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+ "r2_mul_to_add": -1442217.75,
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+ "mean_cosine_sim_matched": 0.9277408517439604,
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+ "n_matched_pairs": 9940
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+ },
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+ "1": {
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+ "r2_add_within": 0.9738580346107483,
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+ "r2_mul_within": 0.9481998324394226,
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+ "r2_add_to_mul": -1.2927114963531494,
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+ "r2_mul_to_add": -586144.5625,
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+ "mean_cosine_sim_matched": 0.5730965278318565,
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+ "n_matched_pairs": 9940
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+ },
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+ "2": {
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+ "r2_add_within": 0.9589236617088318,
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+ "r2_mul_within": 0.914399254322052,
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+ "r2_add_to_mul": -1.2917709350585938,
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+ "r2_mul_to_add": -1142610.75,
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+ "mean_cosine_sim_matched": 0.13349473900500633,
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+ "n_matched_pairs": 9940
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+ }
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+ },
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+ "h26_generalization_gap": {
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+ "-->*": {
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+ "0": {
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+ "r2_seen": 0.9873176455497742,
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+ "r2_unseen": 0.987317430973053,
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+ "generalization_gap": 2.145767211692018e-07
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+ },
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+ "1": {
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+ "r2_seen": 0.9755436658859253,
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+ "r2_unseen": 0.9756203770637513,
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+ "generalization_gap": -7.671117782592773e-05
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+ },
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+ "2": {
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+ "r2_seen": 0.9576882004737854,
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+ "r2_unseen": 0.9577508330345154,
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+ "generalization_gap": -6.263256072991386e-05
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+ }
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+ },
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+ "-->+": {
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+ "0": {
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+ "r2_seen": 0.9873176455497742,
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+ "r2_unseen": 0.987317430973053,
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+ "generalization_gap": 2.145767211692018e-07
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+ },
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+ "1": {
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+ "r2_seen": 0.9755436658859253,
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+ "r2_unseen": 0.9756203770637513,
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+ "generalization_gap": -7.671117782592773e-05
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+ },
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+ "2": {
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+ "r2_seen": 0.9576882004737854,
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+ "r2_unseen": 0.9577508330345154,
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+ "generalization_gap": -6.263256072991386e-05
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+ }
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+ },
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+ "*->-": {
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+ "0": {
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+ "r2_seen": 0.971671974658966,
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+ "r2_unseen": 0.9714288353919983,
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+ "generalization_gap": 0.00024313926696772903
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+ },
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+ "1": {
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+ "r2_seen": 0.9463374376296997,
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+ "r2_unseen": 0.9459463238716126,
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+ "generalization_gap": 0.0003911137580870916
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+ },
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+ "2": {
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+ "r2_seen": 0.911055064201355,
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+ "r2_unseen": 0.9111291885375976,
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+ "generalization_gap": -7.412433624265358e-05
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+ }
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+ },
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+ "*->+": {
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+ "0": {
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+ "r2_seen": 0.971671974658966,
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+ "r2_unseen": 0.9714288353919983,
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+ "generalization_gap": 0.00024313926696772903
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+ },
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+ "1": {
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+ "r2_seen": 0.9463374376296997,
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+ "r2_unseen": 0.9459463238716126,
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+ "generalization_gap": 0.0003911137580870916
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+ },
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+ "2": {
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+ "r2_unseen": 0.9111291885375976,
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+ "generalization_gap": -7.412433624265358e-05
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+ }
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+ },
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+ "+->-": {
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+ "0": {
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+ "r2_unseen": 0.9862422108650207,
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+ "generalization_gap": 0.00011669397354130417
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+ },
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+ "1": {
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+ "r2_seen": 0.972755515575409,
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+ "r2_unseen": 0.9729088187217713,
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+ "generalization_gap": -0.0001533031463623047
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+ },
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+ "2": {
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+ "r2_unseen": 0.9572495341300964,
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+ "generalization_gap": 2.6845932006858142e-05
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+ }
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+ },
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+ "+->*": {
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+ "0": {
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+ "generalization_gap": 0.00011669397354130417
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+ },
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+ "1": {
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+ "r2_seen": 0.972755515575409,
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+ "r2_unseen": 0.9729088187217713,
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+ "generalization_gap": -0.0001533031463623047
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+ },
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+ "2": {
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+ "generalization_gap": 2.6845932006858142e-05
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+ }
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+ }
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+ },
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+ "h27_subtraction_structure": {
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+ "0": {
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+ "mean_cos_sim_sub_vs_add": 0.8867514730468197,
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+ "n_matched_pairs": 9940,
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+ "r2_add_to_sub": -4.379912853240967,
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+ "r2_sub_within": 0.9875970959663392
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+ },
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+ "1": {
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+ "mean_cos_sim_sub_vs_add": 0.7295564297834405,
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+ "n_matched_pairs": 9940,
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+ "r2_add_to_sub": -13.817113876342773,
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+ "r2_sub_within": 0.9764428973197937
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+ },
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+ "2": {
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+ "mean_cos_sim_sub_vs_add": 0.4737554709425526,
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+ "n_matched_pairs": 9940,
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+ "r2_add_to_sub": -11.397453308105469,
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+ "r2_sub_within": 0.9593285322189331
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+ }
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+ }
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+ }
Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/algorithmic_structure/out.txt ADDED
@@ -0,0 +1,120 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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+ ======================================================================
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+ ALGORITHMIC STRUCTURE ANALYSIS (H25–H27)
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+ ======================================================================
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+
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+ Loading results...
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+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-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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+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-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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+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-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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+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=plus]_[int=False].pt: 10000 results for *->+
10
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=minus]_[int=False].pt: 10000 results for +->-
11
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mul]_[int=False].pt: 10000 results for +->*
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+ -->*: 10000 prompts
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+ -->+: 10000 prompts
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+ *->-: 10000 prompts
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+ *->+: 10000 prompts
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+ +->-: 10000 prompts
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+ +->*: 10000 prompts
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+ Layers: [0, 1, 2]
19
+
20
+ Running H25 (multiplication vs addition)...
21
+
22
+ Running H26 (generalization gap)...
23
+
24
+
25
+ Running H27 (subtraction as a + (−b))...
26
+ H25: Addition → Multiplication probe transfer
27
+ ┏━━━━━━━┳━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━┓
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+ ┃ Layer ┃ R²(add) ┃ R²(mul) ┃ add→mul ┃ mul→add ┃ cos-sim(matched) ┃
29
+ ┡━━━━━━━╇━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━┩
30
+ │ L0 │ 0.987 │ 0.973 │ -1.296 │ -1442217.750 │ 0.928 │
31
+ ├───────┼─────────┼─────────┼─────────┼──────────────┼──────────────────┤
32
+ │ L1 │ 0.974 │ 0.948 │ -1.293 │ -586144.562 │ 0.573 │
33
+ ├───────┼─────────┼─────────┼─────────┼──────────────┼──────────────────┤
34
+ │ L2 │ 0.959 │ 0.914 │ -1.292 │ -1142610.750 │ 0.133 │
35
+ └───────┴─────────┴─────────┴─────────┴──────────────┴──────────────────┘
36
+ H26: Generalization gap — -->*
37
+ ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
38
+ ┃ Layer ┃ R²(seen) ┃ R²(unseen) ┃ Gap ┃ Verdict ┃
39
+ ┡━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
40
+ │ L0 │ 0.987 │ 0.987 │ 0.000 │ generalize │
41
+ ├───────┼──────────┼────────────┼────────┼────────────┤
42
+ │ L1 │ 0.976 │ 0.976 │ -0.000 │ generalize │
43
+ ├───────┼──────────┼────────────┼────────┼────────────┤
44
+ │ L2 │ 0.958 │ 0.958 │ -0.000 │ generalize │
45
+ └───────┴───���──────┴────────────┴────────┴────────────┘
46
+ H26: Generalization gap — -->+
47
+ ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
48
+ ┃ Layer ┃ R²(seen) ┃ R²(unseen) ┃ Gap ┃ Verdict ┃
49
+ ┡━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
50
+ │ L0 │ 0.987 │ 0.987 │ 0.000 │ generalize │
51
+ ├───────┼──────────┼────────────┼────────┼────────────┤
52
+ │ L1 │ 0.976 │ 0.976 │ -0.000 │ generalize │
53
+ ├───────┼──────────┼────────────┼────────┼────────────┤
54
+ │ L2 │ 0.958 │ 0.958 │ -0.000 │ generalize │
55
+ └───────┴──────────┴────────────┴────────┴────────────┘
56
+ H26: Generalization gap — *->-
57
+ ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
58
+ ┃ Layer ┃ R²(seen) ┃ R²(unseen) ┃ Gap ┃ Verdict ┃
59
+ ┡━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
60
+ │ L0 │ 0.972 │ 0.971 │ 0.000 │ generalize │
61
+ ├───────┼──────────┼────────────┼────────┼────────────┤
62
+ │ L1 │ 0.946 │ 0.946 │ 0.000 │ generalize │
63
+ ├───────┼──────────┼────────────┼────────┼────────────┤
64
+ │ L2 │ 0.911 │ 0.911 │ -0.000 │ generalize │
65
+ └───────┴──────────┴────────────┴────────┴────────────┘
66
+ H26: Generalization gap — *->+
67
+ ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
68
+ ┃ Layer ┃ R²(seen) ┃ R²(unseen) ┃ Gap ┃ Verdict ┃
69
+ ┡━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
70
+ │ L0 │ 0.972 │ 0.971 │ 0.000 │ generalize │
71
+ ├───────┼──────────┼────────────┼────────┼────────────┤
72
+ │ L1 │ 0.946 │ 0.946 │ 0.000 │ generalize │
73
+ ├───────┼──────────┼────────────┼────────┼────────────┤
74
+ │ L2 │ 0.911 │ 0.911 │ -0.000 │ generalize │
75
+ └───────┴──────────┴────────────┴────────┴────────────┘
76
+ H26: Generalization gap — +->-
77
+ ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
78
+ ┃ Layer ┃ R²(seen) ┃ R²(unseen) ┃ Gap ┃ Verdict ┃
79
+ ┡━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
80
+ │ L0 │ 0.986 │ 0.986 │ 0.000 │ generalize │
81
+ ├───────┼──────────┼────────────┼────────┼────────────┤
82
+ │ L1 │ 0.973 │ 0.973 │ -0.000 │ generalize │
83
+ ├───────┼──────────┼────────────┼────────┼────────────┤
84
+ │ L2 │ 0.957 │ 0.957 │ 0.000 │ generalize │
85
+ └───────┴──────────┴────────────┴────────┴────────────┘
86
+ H26: Generalization gap — +->*
87
+ ┏━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━━━━━━┓
88
+ ┃ Layer ┃ R²(seen) ┃ R²(unseen) ┃ Gap ┃ Verdict ┃
89
+ ┡��━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━━━━━━┩
90
+ │ L0 │ 0.986 │ 0.986 │ 0.000 │ generalize │
91
+ ├───────┼──────────┼────────────┼────────┼────────────┤
92
+ │ L1 │ 0.973 │ 0.973 │ -0.000 │ generalize │
93
+ ├───────┼──────────┼────────────┼────────┼────────────┤
94
+ │ L2 │ 0.957 │ 0.957 │ 0.000 │ generalize │
95
+ └───────┴──────────┴────────────┴────────┴────────────┘
96
+ H27: Subtraction as a + (−b)? (eq_sign residuals)
97
+ ┏━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━┳━━━━━━━━━━┓
98
+ ┃ Layer ┃ cos-sim(sub vs add) ┃ R²(sub within) ┃ R²(add → sub) ┃ Verdict ┃
99
+ ┡━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━╇━━━━━━━━━━┩
100
+ │ L0 │ 0.887 │ 0.988 │ -4.380 │ distinct │
101
+ ├───────┼─────────────────────┼────────────────┼───────────────┼──────────┤
102
+ │ L1 │ 0.730 │ 0.976 │ -13.817 │ distinct │
103
+ ├───────┼─────────────────────┼────────────────┼───────────────┼──────────┤
104
+ │ L2 │ 0.474 │ 0.959 │ -11.397 │ distinct │
105
+ └───────┴─────────────────────┴────────────────┴───────────────┴──────────┘
106
+
107
+ Generating plots...
108
+ Saved: results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/algorithmic_structure/h25_multiplication_vs_addition.png
109
+ Saved: results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/algorithmic_structure/h26_generalization_gap.png
110
+
111
+ Saved:
112
+ results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-25
113
+ 6D-3L-4H-1024I/analysis/algorithmic_structure/metrics.json
114
+
115
+ ======================================================================
116
+ Algorithmic structure analysis complete.
117
+ Output:
118
+ results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-25
119
+ 6D-3L-4H-1024I/analysis/algorithmic_structure
120
+ ======================================================================
Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/answer_construction/f20_answer_decodability_by_layer.png ADDED

Git LFS Details

  • SHA256: 8e9e1cc555cc47fe35a55940f7d95544b6291e06b5bbb994f3f2c2f1d27fcc0c
  • Pointer size: 131 Bytes
  • Size of remote file: 148 kB
Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/answer_construction/f21_digit_decodability.png ADDED

Git LFS Details

  • SHA256: 0c4890fb7a8f5fd55f3e25889263086c1751c71de0b5b03f872243c8599fbdba
  • Pointer size: 130 Bytes
  • Size of remote file: 62.6 kB
Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/answer_construction/metrics.json ADDED
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+ }
Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/answer_construction/out.txt ADDED
@@ -0,0 +1,185 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ ======================================================================
2
+ ANSWER CONSTRUCTION ANALYSIS (F19–F22)
3
+ ======================================================================
4
+
5
+ Loading results...
6
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mul]_[int=False].pt: 10000 results for -->*
7
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=plus]_[int=False].pt: 10000 results for -->+
8
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=minus]_[int=False].pt: 10000 results for *->-
9
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=plus]_[int=False].pt: 10000 results for *->+
10
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=minus]_[int=False].pt: 10000 results for +->-
11
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mul]_[int=False].pt: 10000 results for +->*
12
+ -->*: 10000 prompts
13
+ -->+: 10000 prompts
14
+ *->-: 10000 prompts
15
+ *->+: 10000 prompts
16
+ +->-: 10000 prompts
17
+ +->*: 10000 prompts
18
+ Layers: [0, 1, 2]
19
+
20
+ Collecting data...
21
+
22
+
23
+ Running F19...
24
+
25
+
26
+ Running F21...
27
+
28
+
29
+ Running F22...
30
+
31
+ F19: Answer decodability R² — -->*
32
+ ┏━━━━━━━┳━━━━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━━━━━━━┳━━━━━━━━━━━━━┓
33
+ ┃ Layer ┃ std/eq_sign ┃ std/answer ┃ over/eq_sign ┃ over/answer ┃
34
+ ┡━━━━━━━╇━━━━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━━━━━━━╇━━━━━━━━━━━━━┩
35
+ │ L0 │ 0.987 │ 0.814 │ 0.974 │ 0.431 │
36
+ ├───────┼─────────────┼────────────┼──────────────┼─────────────┤
37
+ │ L1 │ 0.976 │ 0.995 │ 0.961 │ 0.986 │
38
+ ├─────��─┼─────────────┼────────────┼──────────────┼─────────────┤
39
+ │ L2 │ 0.958 │ 0.993 │ 0.934 │ 0.970 │
40
+ └───────┴─────────────┴────────────┴──────────────┴─────────────┘
41
+ F19: Answer decodability R² — -->+
42
+ ┏━━━━━━━┳━━━━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━━━━━━━┳━━━━━━━━━━━━━┓
43
+ ┃ Layer ┃ std/eq_sign ┃ std/answer ┃ over/eq_sign ┃ over/answer ┃
44
+ ┡━━━━━━━╇━━━━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━━━━━━━╇━━━━━━━━━━━━━┩
45
+ │ L0 │ 0.987 │ 0.814 │ 0.986 │ 0.836 │
46
+ ├───────┼─────────────┼────────────┼──────────────┼─────────────┤
47
+ │ L1 │ 0.976 │ 0.995 │ 0.976 │ 0.988 │
48
+ ├───────┼─────────────┼────────────┼──────────────┼─────────────┤
49
+ │ L2 │ 0.958 │ 0.993 │ 0.958 │ 0.983 │
50
+ └───────┴─────────────┴────────────┴──────────────┴─────────────┘
51
+ F19: Answer decodability R² — *->-
52
+ ┏━━━━━━━┳━━━━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━━━━━━━┳━━━━━━━━━━━━━┓
53
+ ┃ Layer ┃ std/eq_sign ┃ std/answer ┃ over/eq_sign ┃ over/answer ┃
54
+ ┡━━━━━━━╇━━━━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━━━━━━━╇━━━━━━━━━━━━━┩
55
+ │ L0 │ 0.972 │ 0.436 │ 0.983 │ 0.811 │
56
+ ├───────┼─────────────┼────────────┼──────────────┼─────────────┤
57
+ │ L1 │ 0.946 │ 0.991 │ 0.968 │ 0.989 │
58
+ ├───────┼─────────────┼────────────┼──────────────┼─────────────┤
59
+ │ L2 │ 0.911 │ 0.974 │ 0.952 │ 0.987 │
60
+ └───────┴─────────────┴────────────┴──────────────┴─────────────┘
61
+ F19: Answer decodability R² — *->+
62
+ ┏━━━━━━━┳━━━━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━━━━━━━┳━━━━━━━━━━━━━┓
63
+ ┃ Layer ┃ std/eq_sign ┃ std/answer ┃ over/eq_sign ┃ over/answer ┃
64
+ ┡━━━━━━━╇━━━━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━━━━━━━╇━━━━━━━━━━━━━┩
65
+ │ L0 │ 0.972 │ 0.436 │ 0.986 │ 0.849 │
66
+ ├───────┼─────────────┼────────────┼──────────────┼─────────────┤
67
+ │ L1 │ 0.946 │ 0.991 │ 0.968 │ 0.989 │
68
+ ├───────┼─────────────┼────────────┼──────────────┼─────────────┤
69
+ │ L2 │ 0.911 │ 0.974 │ 0.945 │ 0.981 │
70
+ └───────┴─────────────┴────────────┴──────────────┴─────────────┘
71
+ F19: Answer decodability R² — +->-
72
+ ┏━━━━━━━┳━━━━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━━━━━━━┳━━━━━━━━━━━━━┓
73
+ ┃ Layer ┃ std/eq_sign ┃ std/answer ┃ over/eq_sign ┃ over/answer ┃
74
+ ┡━━━━━━━╇━━━━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━━━━━━━╇━━━━━━━━━━━━━┩
75
+ │ L0 ��� 0.986 │ 0.854 │ 0.984 │ 0.812 │
76
+ ├───────┼─────────────┼────────────┼──────────────┼─────────────┤
77
+ │ L1 │ 0.973 │ 0.995 │ 0.967 │ 0.993 │
78
+ ├───────┼─────────────┼────────────┼──────────────┼─────────────┤
79
+ │ L2 │ 0.957 │ 0.989 │ 0.947 │ 0.990 │
80
+ └───────┴─────────────┴────────────┴──────────────┴─────────────┘
81
+ F19: Answer decodability R² — +->*
82
+ ┏━━━━━━━┳━━━━━━━━━━━━━┳━━━━━━━━━━━━┳━━━━━━━━━━━━━━┳━━━━━━━━━━━━━┓
83
+ ┃ Layer ┃ std/eq_sign ┃ std/answer ┃ over/eq_sign ┃ over/answer ┃
84
+ ┡━━━━━━━╇━━━━━━━━━━━━━╇━━━━━━━━━━━━╇━━━━━━━━━━━━━━╇━━━━━━━━━━━━━┩
85
+ │ L0 │ 0.986 │ 0.854 │ 0.971 │ 0.434 │
86
+ ├───────┼─────────────┼────────────┼──────────────┼─────────────┤
87
+ │ L1 │ 0.973 │ 0.995 │ 0.954 │ 0.989 │
88
+ ├───────┼─────────────┼────────────┼──────────────┼─────────────┤
89
+ │ L2 │ 0.957 │ 0.989 │ 0.921 │ 0.967 │
90
+ └───────┴─────────────┴────────────┴──────────────┴─────────────┘
91
+ F21: Digit decodability at eq_sign — -->*
92
+ ┏━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━━━━┓
93
+ ┃ Layer ┃ std/units ┃ std/tens ┃ std/hund… ┃ over/uni… ┃ over/tens ┃ over/hun… ┃
94
+ ┡━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━━━━┩
95
+ │ L0 │ 0.126 │ 0.103 │ 0.595 │ 0.451 │ 0.143 │ 0.100 │
96
+ ├───────┼───────────┼──────────┼───────────┼───────────┼───────────┼───────────┤
97
+ │ L1 │ 0.906 │ 0.107 │ 0.624 │ 1.000 │ 0.156 │ 0.100 │
98
+ ├───────┼───────────┼──────────┼───────────┼───────────┼───────────┼───────────┤
99
+ │ L2 │ 1.000 │ 0.162 │ 0.594 │ 1.000 │ 0.151 │ 0.106 │
100
+ └───────┴───────────┴──────────┴───────────┴───────────┴───────────┴───────────┘
101
+ F21: Digit decodability at eq_sign — -->+
102
+ ┏━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━━━━┓
103
+ ┃ Layer ┃ std/units ┃ std/tens ┃ std/hund… ┃ over/uni… ┃ over/tens ┃ over/hun… ┃
104
+ ┡━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━━━━┩
105
+ │ L0 │ 0.126 │ 0.103 │ 0.595 │ 0.174 │ 0.103 │ 0.444 │
106
+ ├───────┼───────────┼──────────┼───────────┼───────────┼───────────┼───────────┤
107
+ │ L1 │ 0.906 │ 0.107 │ 0.624 │ 1.000 │ 0.096 │ 0.295 │
108
+ ├───────┼───────────┼──────────┼───────────���───────────┼───────────┼───────────┤
109
+ │ L2 │ 1.000 │ 0.162 │ 0.594 │ 1.000 │ 0.110 │ 0.241 │
110
+ └───────┴───────────┴──────────┴───────────┴───────────┴───────────┴───────────┘
111
+ F21: Digit decodability at eq_sign — *->-
112
+ ┏━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━━━━┓
113
+ ┃ Layer ┃ std/units ┃ std/tens ┃ std/hund… ┃ over/uni… ┃ over/tens ┃ over/hun… ┃
114
+ ┡━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━━━━┩
115
+ │ L0 │ 0.462 │ 0.147 │ 0.094 │ 0.134 │ 0.102 │ 0.562 │
116
+ ├───────┼───────────┼──────────┼───────────┼───────────┼───────────┼───────────┤
117
+ │ L1 │ 1.000 │ 0.159 │ 0.098 │ 0.824 │ 0.105 │ 0.549 │
118
+ ├───────┼───────────┼──────────┼───────────┼───────────┼───────────┼───────────┤
119
+ │ L2 │ 1.000 │ 0.156 │ 0.106 │ 0.999 │ 0.173 │ 0.551 │
120
+ └───────┴───────────┴──────────┴───────────┴───────────┴───────────┴───────────┘
121
+ F21: Digit decodability at eq_sign — *->+
122
+ ┏━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━━━━┓
123
+ ┃ Layer ┃ std/units ┃ std/tens ┃ std/hund… ┃ over/uni… ┃ over/tens ┃ over/hun… ┃
124
+ ┡━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━━━━┩
125
+ │ L0 │ 0.462 │ 0.147 │ 0.094 │ 0.237 │ 0.106 │ 0.449 │
126
+ ├───────┼───────────┼──────────┼───────────┼───────────┼───────────┼───────────┤
127
+ │ L1 │ 1.000 │ 0.159 │ 0.098 │ 1.000 │ 0.109 │ 0.288 │
128
+ ├───────┼───────────┼──────────┼───────────┼───────────┼───────────┼───────────┤
129
+ │ L2 │ 1.000 │ 0.156 │ 0.106 │ 1.000 │ 0.111 │ 0.226 │
130
+ └───────┴───────────┴──────────┴───────────┴───────────┴───────────┴───────────┘
131
+ F21: Digit decodability at eq_sign — +->-
132
+ ┏━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━━━━┓
133
+ ┃ Layer ┃ std/units ┃ std/tens ┃ std/hund… ┃ over/uni… ┃ over/tens ┃ over/hun… ┃
134
+ ┡━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━━━━┩
135
+ │ L0 │ 0.207 │ 0.105 │ 0.450 │ 0.123 │ 0.105 │ 0.571 │
136
+ ├───────┼───────────┼──────────┼───────────┼───────────┼───────────┼───────────┤
137
+ │ L1 │ 1.000 │ 0.105 │ 0.318 │ 0.865 │ 0.105 │ 0.572 │
138
+ ├───────┼───────────┼──────────┼───────────┼───────────┼───────────┼───────────┤
139
+ │ L2 │ 1.000 │ 0.108 │ 0.251 │ 0.999 │ 0.171 │ 0.569 │
140
+ └───────┴───────────┴──────────┴───────────┴───────────┴───────────┴───────────┘
141
+ F21: Digit decodability at eq_sign — +->*
142
+ ┏━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━━━━┳━━━━━━━━━━━┓
143
+ ┃ Layer ┃ std/units ┃ std/tens ┃ std/hund… ┃ over/uni… ┃ over/tens ┃ over/hun… ┃
144
+ ┡━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━━━━╇━━━━━━━━━━━┩
145
+ │ L0 │ 0.207 │ 0.105 │ 0.450 │ 0.462 │ 0.145 │ 0.097 │
146
+ ├───────┼───────────┼──────────┼───────────┼───────────┼───────────┼───────────┤
147
+ │ L1 │ 1.000 │ 0.105 │ 0.318 │ 1.000 │ 0.157 │ 0.100 │
148
+ ├───────┼───────────┼──────────┼───────────┼───────────┼───────────┼───────────┤
149
+ │ L2 │ 1.000 │ 0.108 │ 0.251 │ 1.000 │ 0.153 │ 0.106 │
150
+ └───────┴───────────┴──────────┴───────────┴───────────┴───────────┴───────────┘
151
+ F22: Carry precomputed? AUROC at eq_sign vs answer — +->-
152
+ ┏━━━━━━━┳━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━┓
153
+ ┃ Layer ┃ AUROC @ eq_sign ┃ AUROC @ answer ┃ Verdict ┃
154
+ ┡━━━━━━━╇━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━┩
155
+ │ L0 │ 0.916 │ 0.914 │ precomputed │
156
+ ├───────┼─────────────────┼────────────────┼─────────────┤
157
+ │ L1 │ 1.000 │ 0.991 │ precomputed │
158
+ ├───────┼─────────────────┼────────────────┼─────────────┤
159
+ │ L2 │ 1.000 │ 0.977 │ precomputed │
160
+ └───────┴─────────────────┴────────────────┴─────────────┘
161
+ F22: Carry precomputed? AUROC at eq_sign vs answer — +->*
162
+ ┏━━━━━━━┳━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━┓
163
+ ┃ Layer ┃ AUROC @ eq_sign ┃ AUROC @ answer ┃ Verdict ┃
164
+ ┡━━━━━━━╇━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━┩
165
+ │ L0 │ 0.916 │ 0.914 │ precomputed │
166
+ ├───────┼─────────────────┼────────────────┼─────────────┤
167
+ │ L1 │ 1.000 │ 0.991 │ precomputed │
168
+ ├───────┼─────────────────┼────────────────┼─────────────┤
169
+ │ L2 │ 1.000 │ 0.977 │ precomputed │
170
+ └───────┴─────────────────┴────────────────┴─────────────┘
171
+
172
+ Generating plots...
173
+ Saved: results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/answer_construction/f20_answer_decodability_by_layer.png
174
+ Saved: results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/answer_construction/f21_digit_decodability.png
175
+
176
+ Saved:
177
+ results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-25
178
+ 6D-3L-4H-1024I/analysis/answer_construction/metrics.json
179
+
180
+ ======================================================================
181
+ Answer construction analysis complete.
182
+ Output:
183
+ results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-25
184
+ 6D-3L-4H-1024I/analysis/answer_construction
185
+ ======================================================================
Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/attention/e16a_head_activity_over.png ADDED

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Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/attention/out.txt ADDED
@@ -0,0 +1,91 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ ======================================================================
2
+ ATTENTION HEAD ANALYSIS (E16–E18)
3
+ ======================================================================
4
+
5
+ NOTE: Raw attention weight matrices are not stored in the current
6
+ inference pipeline. This script analyzes per-head OUTPUT vectors
7
+ (value-weighted outputs before o_proj), which reveals WHAT each head
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
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mul]_[int=False].pt: 10000 results for -->*
14
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=plus]_[int=False].pt: 10000 results for -->+
15
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=minus]_[int=False].pt: 10000 results for *->-
16
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=plus]_[int=False].pt: 10000 results for *->+
17
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=minus]_[int=False].pt: 10000 results for +->-
18
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mul]_[int=False].pt: 10000 results for +->*
19
+ -->*: 10000 prompts
20
+ -->+: 10000 prompts
21
+ *->-: 10000 prompts
22
+ *->+: 10000 prompts
23
+ +->-: 10000 prompts
24
+ +->*: 10000 prompts
25
+ Layers: [0, 1, 2]
26
+
27
+ Running E16a (head activity)...
28
+
29
+ num_heads=4
30
+
31
+ Running E16b/E17 (head context similarity)...
32
+
33
+ Running E18 (head operation specialization)...
34
+ E16a: Mean head output norm (mean across pairs, both
35
+ contexts)
36
+
37
+ Layer-Head opA opB op = ans
38
+ ─────────────────────────────────────────────────────
39
+ L0-H0 3.014 2.686 3.395 2.137 2.263
40
+ L0-H1 2.965 3.007 3.079 2.484 2.745
41
+ L0-H2 2.880 2.092 3.522 2.422 2.255
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+ L0-H3 3.133 2.928 2.497 3.046 2.941
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+ L1-H0 6.050 5.797 2.908 6.064 6.038
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+ L1-H1 6.116 6.798 4.987 5.752 5.097
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+ L1-H2 4.231 7.450 2.986 7.117 5.511
46
+ L1-H3 7.556 7.611 4.036 6.196 4.225
47
+ L2-H0 3.484 4.638 3.193 3.977 3.779
48
+ L2-H1 3.205 3.433 5.559 4.500 4.555
49
+ L2-H2 6.109 4.373 4.032 5.656 6.356
50
+ L2-H3 4.997 3.475 15.250 5.732 3.500
51
+
52
+ E16b/E17: Head activity cosine sim (std vs over,
53
+ mean across pairs)
54
+
55
+ Layer opA opB op = ans
56
+ ───────────────────────────────────────────────
57
+ L0 0.996 0.997 0.958 0.997 0.994
58
+ L1 0.998 0.955 0.964 0.971 0.993
59
+ L2 0.958 0.988 0.934 0.868 0.983
60
+
61
+ E18: Head specialization by semantic operation (mean
62
+ norm at eq_sign)
63
+
64
+ Layer-Head addition multiplication subtraction
65
+ ──────────────────────────────────────────────────────
66
+ L0-H0 2.204 2.041 2.165
67
+ L0-H1 2.499 2.455 2.499
68
+ L0-H2 2.437 2.382 2.447
69
+ L0-H3 2.928 2.787 3.423
70
+ L1-H0 6.083 6.046 6.065
71
+ L1-H1 8.337 4.225 4.694
72
+ L1-H2 7.320 7.460 6.572
73
+ L1-H3 5.850 7.232 5.504
74
+ L2-H0 3.489 4.514 3.928
75
+ L2-H1 5.267 4.250 3.982
76
+ L2-H2 6.988 3.452 6.527
77
+ L2-H3 3.006 9.875 4.314
78
+
79
+
80
+ Generating plots...
81
+ Saved: results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/attention/e16a_head_activity_std.png
82
+ Saved: results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/attention/e16a_head_activity_over.png
83
+ Saved: results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/attention/e16b_head_context_similarity.png
84
+ Saved: results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/attention/e18_head_operation_specialization.png
85
+
86
+ Saved: results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/attention/metrics.json
87
+
88
+ ======================================================================
89
+ Attention head analysis complete.
90
+ Output: results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/attention
91
+ ======================================================================
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Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/carry_borrow/out.txt ADDED
@@ -0,0 +1,115 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ ======================================================================
2
+ CARRY AND BORROW ANALYSIS (C10–C12)
3
+ ======================================================================
4
+
5
+ Loading results...
6
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mul]_[int=False].pt: 10000 results for -->*
7
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=plus]_[int=False].pt: 10000 results for -->+
8
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=minus]_[int=False].pt: 10000 results for *->-
9
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=plus]_[int=False].pt: 10000 results for *->+
10
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=minus]_[int=False].pt: 10000 results for +->-
11
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mul]_[int=False].pt: 10000 results for +->*
12
+ -->*: 10000 prompts
13
+ -->+: 10000 prompts
14
+ *->-: 10000 prompts
15
+ *->+: 10000 prompts
16
+ +->-: 10000 prompts
17
+ +->*: 10000 prompts
18
+ Layers: [0, 1, 2]
19
+
20
+ Collecting carry/borrow data (addition and subtraction pairs only)...
21
+
22
+
23
+ Running C10/C11...
24
+
25
+ C10/C11: -->* — units-borrow AUROC (per layer ×
26
+ position)
27
+
28
+ Layer operand_a operand_b operator eq_sign
29
+ ────────────────────────────────────────────────────
30
+ L0 0.827 0.941 0.517 0.898
31
+ L1 0.821 0.999 0.740 1.000
32
+ L2 0.820 0.998 0.810 1.000
33
+
34
+ C10/C11: -->* — tens-borrow AUROC (per layer ×
35
+ position)
36
+
37
+ Layer operand_a operand_b operator eq_sign
38
+ ────────────────────────────────────────────────────
39
+ L0 0.755 0.833 0.525 0.852
40
+ L1 0.823 1.000 0.779 0.812
41
+ L2 0.821 1.000 0.807 0.886
42
+
43
+ C10/C11: -->+ — units-borrow AUROC (per layer ×
44
+ position)
45
+
46
+ Layer operand_a operand_b operator eq_sign
47
+ ────────────────────────────────────────────────────
48
+ L0 0.827 0.941 0.517 0.898
49
+ L1 0.821 0.999 0.740 1.000
50
+ L2 0.820 0.998 0.810 1.000
51
+
52
+ C10/C11: -->+ — tens-borrow AUROC (per layer ×
53
+ position)
54
+
55
+ Layer operand_a operand_b operator eq_sign
56
+ ───────────────────────────────────────────��────────
57
+ L0 0.755 0.833 0.525 0.852
58
+ L1 0.823 1.000 0.779 0.812
59
+ L2 0.821 1.000 0.807 0.886
60
+
61
+ C10/C11: +->- — units-carry AUROC (per layer ×
62
+ position)
63
+
64
+ Layer operand_a operand_b operator eq_sign
65
+ ────────────────────────────────────────────────────
66
+ L0 0.832 0.965 0.529 0.916
67
+ L1 0.830 0.988 0.683 1.000
68
+ L2 0.828 0.981 0.758 1.000
69
+
70
+ C10/C11: +->- — tens-carry AUROC (per layer ×
71
+ position)
72
+
73
+ Layer operand_a operand_b operator eq_sign
74
+ ────────────────────────────────────────────────────
75
+ L0 0.792 0.879 0.527 0.873
76
+ L1 0.828 1.000 0.665 0.832
77
+ L2 0.826 1.000 0.767 0.833
78
+
79
+ C10/C11: +->* — units-carry AUROC (per layer ×
80
+ position)
81
+
82
+ Layer operand_a operand_b operator eq_sign
83
+ ────────────────────────────────────────────────────
84
+ L0 0.832 0.965 0.529 0.916
85
+ L1 0.830 0.988 0.683 1.000
86
+ L2 0.828 0.981 0.758 1.000
87
+
88
+ C10/C11: +->* — tens-carry AUROC (per layer ×
89
+ position)
90
+
91
+ Layer operand_a operand_b operator eq_sign
92
+ ────────────────────────────────────────────────────
93
+ L0 0.792 0.879 0.527 0.873
94
+ L1 0.828 1.000 0.665 0.832
95
+ L2 0.826 1.000 0.767 0.833
96
+
97
+ C12: Carry vs borrow across layers (at
98
+ eq_sign)
99
+
100
+ Layer Carry (mean) Borrow (mean)
101
+ ──────────────────────────────────────
102
+ L0 0.916 0.898
103
+ L1 1.000 1.000
104
+ L2 1.000 1.000
105
+
106
+
107
+ Generating plots...
108
+ Saved: results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/carry_borrow/c12_carry_borrow_by_layer.png
109
+
110
+ Saved: results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/carry_borrow/metrics.json
111
+
112
+ ======================================================================
113
+ Carry and borrow analysis complete.
114
+ Output: results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/carry_borrow
115
+ ======================================================================
Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/information_flow/i28_answer_refinement_by_layer.png ADDED

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Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/information_flow/out.txt ADDED
@@ -0,0 +1,339 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ ======================================================================
2
+ CROSS-LAYER INFORMATION FLOW ANALYSIS (I28–I29)
3
+ ======================================================================
4
+
5
+ Loading results...
6
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mul]_[int=False].pt: 10000 results for -->*
7
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=plus]_[int=False].pt: 10000 results for -->+
8
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=minus]_[int=False].pt: 10000 results for *->-
9
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=plus]_[int=False].pt: 10000 results for *->+
10
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=minus]_[int=False].pt: 10000 results for +->-
11
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mul]_[int=False].pt: 10000 results for +->*
12
+ -->*: 10000 prompts
13
+ -->+: 10000 prompts
14
+ *->-: 10000 prompts
15
+ *->+: 10000 prompts
16
+ +->-: 10000 prompts
17
+ +->*: 10000 prompts
18
+ Layers: [0, 1, 2]
19
+
20
+ Running I28 (answer refinement)...
21
+
22
+
23
+ Running I29 (operand compression)...
24
+
25
+ I28: Answer refinement — -->* / std
26
+ ┏━━━━━━━┳━━━━━━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━┓
27
+ ┃ Layer ┃ R²(residual) ┃ R²(MLP) ┃ ΔR² ┃
28
+ ┡━━━━━━━╇━━━━━━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━┩
29
+ │ L0 │ 0.987 │ 0.994 │ nan │
30
+ ├───────┼──────────────┼─────────┼────────┤
31
+ │ L1 │ 0.976 │ 0.987 │ -0.012 │
32
+ ├───────┼──────────────┼─────────┼────────┤
33
+ │ L2 │ 0.958 │ 0.964 │ -0.018 │
34
+ └───────┴──────────────┴─────────┴────────┘
35
+ → Dominant layer: L1
36
+
37
+ I28: Answer refinement — -->* / over
38
+ ┏━━━━━━━┳━━━━━━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━┓
39
+ ┃ Layer ┃ R²(residual) ┃ R²(MLP) ┃ ΔR² ┃
40
+ ┡━━━━━━━╇━━━━━━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━┩
41
+ │ L0 │ 0.974 │ 0.991 │ nan │
42
+ ├───────┼──────────────┼─────────┼────────┤
43
+ │ L1 │ 0.961 │ 0.988 │ -0.013 │
44
+ ├───────┼──────────────┼─────────┼────────┤
45
+ │ L2 │ 0.934 │ 0.934 │ -0.028 │
46
+ └───────┴──────────────┴─────────┴────────┘
47
+ → Dominant layer: L1
48
+
49
+ I28: Answer refinement — -->+ / std
50
+ ┏━━━━━━━┳━━━━━━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━┓
51
+ ┃ Layer ┃ R²(residual) ┃ R²(MLP) ┃ ΔR² ┃
52
+ ┡━━━━━━━╇━━━━━━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━┩
53
+ │ L0 │ 0.987 │ 0.994 │ nan │
54
+ ├───────┼──────────────┼─────────┼────────┤
55
+ │ L1 │ 0.976 │ 0.987 │ -0.012 │
56
+ ├───────┼──────────────┼─────────┼────────┤
57
+ │ L2 │ 0.958 │ 0.964 │ -0.018 │
58
+ └───────┴──────────────┴─────────┴────────┘
59
+ → Dominant layer: L1
60
+
61
+ I28: Answer refinement — -->+ / over
62
+ ┏━━━━━━━┳━━━━━━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━┓
63
+ ┃ Layer ┃ R²(residual) ┃ R²(MLP) ┃ ΔR² ┃
64
+ ┡━━━━━━━╇━━━━━━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━┩
65
+ │ L0 │ 0.986 │ 0.994 │ nan │
66
+ ├───────┼──────────────┼─────────┼────────┤
67
+ │ L1 │ 0.976 │ 0.982 │ -0.010 │
68
+ ├───────┼──────────────┼─────────┼────────┤
69
+ │ L2 │ 0.958 │ 0.958 │ -0.018 │
70
+ └───────┴──────────────┴─────────┴────────┘
71
+ → Dominant layer: L1
72
+
73
+ I28: Answer refinement — *->- / std
74
+ ┏━━━━━━━┳━━━━━━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━┓
75
+ ┃ Layer ┃ R²(residual) ┃ R²(MLP) ┃ ΔR² ┃
76
+ ┡━━━━━━━╇━━━━━━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━┩
77
+ │ L0 │ 0.972 │ 0.991 │ nan │
78
+ ├───────┼──────────────┼─────────┼────────┤
79
+ │ L1 │ 0.946 │ 0.987 │ -0.025 │
80
+ ├───────┼──────────────┼─────────┼────────┤
81
+ │ L2 │ 0.911 │ 0.923 │ -0.035 │
82
+ └───────┴──────────────┴─────────┴────────┘
83
+ → Dominant layer: L1
84
+
85
+ I28: Answer refinement — *->- / over
86
+ ┏━━━━━━━┳━━━━━━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━┓
87
+ ┃ Layer ┃ R²(residual) ┃ R²(MLP) ┃ ΔR² ┃
88
+ ┡━━━━━━━╇━━━━━━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━┩
89
+ │ L0 │ 0.983 │ 0.992 │ nan │
90
+ ├───────┼──────────────┼─────────┼────────┤
91
+ │ L1 │ 0.968 │ 0.979 │ -0.015 │
92
+ ├───────┼──────────────┼─────────┼────────┤
93
+ │ L2 │ 0.952 │ 0.951 │ -0.017 │
94
+ └───────┴──────────────┴─────────┴────────┘
95
+ → Dominant layer: L1
96
+
97
+ I28: Answer refinement — *->+ / std
98
+ ┏━━━━━━━┳━━━━━━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━┓
99
+ ┃ Layer ┃ R²(residual) ┃ R²(MLP) ┃ ΔR² ┃
100
+ ┡━━━━━━━╇━━━━━━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━┩
101
+ │ L0 │ 0.972 │ 0.991 │ nan │
102
+ ├───────┼──────────────┼─────────┼────────┤
103
+ │ L1 │ 0.946 │ 0.987 │ -0.025 │
104
+ ├───────┼──────────────┼─────────┼────────┤
105
+ │ L2 │ 0.911 │ 0.923 │ -0.035 │
106
+ └───────┴──────────────┴─────────┴────────┘
107
+ → Dominant layer: L1
108
+
109
+ I28: Answer refinement — *->+ / over
110
+ ┏━━━━━━━┳━━━━━━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━┓
111
+ ┃ Layer ┃ R²(residual) ┃ R²(MLP) ┃ ΔR² ┃
112
+ ┡━━━━━━━╇━━━━━━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━┩
113
+ │ L0 │ 0.986 │ 0.994 │ nan │
114
+ ├───────┼──────────────┼─────────┼────────┤
115
+ │ L1 │ 0.968 │ 0.973 │ -0.018 │
116
+ ├───────┼──────────────┼─────────┼────────┤
117
+ │ L2 │ 0.945 │ 0.944 │ -0.023 │
118
+ └───────┴──────────────┴─────────┴────────┘
119
+ → Dominant layer: L1
120
+
121
+ I28: Answer refinement — +->- / std
122
+ ┏━━━━━━━┳━━━━━━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━┓
123
+ ┃ Layer ┃ R²(residual) ┃ R²(MLP) ┃ ΔR² ┃
124
+ ┡━━━━━━━╇━━━━━━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━┩
125
+ │ L0 │ 0.986 │ 0.994 │ nan │
126
+ ├───────┼──────────────┼─────────┼────────┤
127
+ │ L1 │ 0.973 │ 0.981 │ -0.014 │
128
+ ├───────┼──────────────┼─────────┼────────┤
129
+ │ L2 │ 0.957 │ 0.962 │ -0.015 │
130
+ └───────┴──────────────┴─────────┴────────┘
131
+ → Dominant layer: L1
132
+
133
+ I28: Answer refinement — +->- / over
134
+ ┏━━━━━━━┳━━━━━━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━┓
135
+ ┃ Layer ┃ R²(residual) ┃ R²(MLP) ┃ ΔR² ┃
136
+ ┡━━━━━━━╇━━━━━━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━┩
137
+ │ L0 │ 0.984 │ 0.993 │ nan │
138
+ ├───────┼──────────────┼─────────┼────────┤
139
+ │ L1 │ 0.967 │ 0.980 │ -0.017 │
140
+ ├───────┼──────────────┼─────────┼────────┤
141
+ │ L2 │ 0.947 │ 0.952 │ -0.020 │
142
+ └───────┴──────────────┴─────────┴────────┘
143
+ → Dominant layer: L1
144
+
145
+ I28: Answer refinement — +->* / std
146
+ ┏━━━━━━━┳━━━━━━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━┓
147
+ ┃ Layer ┃ R²(residual) ┃ R²(MLP) ┃ ΔR² ┃
148
+ ┡━━━━━━━╇━━━━━━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━┩
149
+ │ L0 │ 0.986 │ 0.994 │ nan │
150
+ ├───────┼──────────────┼─────────┼────────┤
151
+ │ L1 │ 0.973 │ 0.981 │ -0.014 │
152
+ ├───────┼──────────────┼─────────┼────────┤
153
+ │ L2 │ 0.957 │ 0.962 │ -0.015 │
154
+ └───────┴──────────────┴─────────┴────────┘
155
+ → Dominant layer: L1
156
+
157
+ I28: Answer refinement — +->* / over
158
+ ┏━━━━━━━┳━━━━━━━━━━━━━━┳━━━━━━━━━┳━━━━━━━━┓
159
+ ┃ Layer ┃ R²(residual) ┃ R²(MLP) ┃ ΔR² ┃
160
+ ┡━━━━━━━╇━━━━━━━━━━━━━━╇━━━━━━━━━╇━━━━━━━━┩
161
+ │ L0 │ 0.971 │ 0.991 │ nan │
162
+ ├───────┼──────────────┼─────────┼────────┤
163
+ │ L1 │ 0.954 │ 0.987 │ -0.017 │
164
+ ├───────┼──────────────┼─────────┼────────┤
165
+ │ L2 │ 0.921 │ 0.927 │ -0.032 │
166
+ └───────┴──────────────┴─────────┴────────┘
167
+ → Dominant layer: L1
168
+
169
+ I29: Operand compression —
170
+ -->* / std
171
+ ┏━━━━━━━┳━━━━━━━━━┳━━━━━━━━━┓
172
+ ┃ Layer ┃ R²(opA) ┃ R²(opB) ┃
173
+ ┡━━━━━━━╇━━━━━━━━━╇━━━━━━━━━┩
174
+ │ L0 │ 0.952 │ 0.962 │
175
+ ├───────┼─────────┼─────────┤
176
+ │ L1 │ 0.985 │ 0.933 │
177
+ ├───────┼─────────┼─────────┤
178
+ │ L2 │ 0.982 │ 0.918 │
179
+ └───────┴─────────┴─────────┘
180
+ → opA dropoff: Lnever opB dropoff: Lnever
181
+
182
+ I29: Operand compression —
183
+ -->* / over
184
+ ┏━━━━━━━┳━━━━━━━━━┳━━━━━━━━━┓
185
+ ┃ Layer ┃ R²(opA) ┃ R²(opB) ┃
186
+ ┡━━━━━━━╇━━━━━━━━━╇━━━━━━━━━┩
187
+ │ L0 │ 0.961 │ 0.962 │
188
+ ├───────┼─────────┼─────────┤
189
+ │ L1 │ 0.991 │ 0.839 │
190
+ ├───────┼─────────┼─────────┤
191
+ │ L2 │ 0.988 │ 0.768 │
192
+ └───────┴─────────┴─────────┘
193
+ → opA dropoff: Lnever opB dropoff: Lnever
194
+
195
+ I29: Operand compression —
196
+ -->+ / std
197
+ ┏━━━━━━━┳━━━━━━━━━┳━━━━━━━━━┓
198
+ ┃ Layer ┃ R²(opA) ┃ R²(opB) ┃
199
+ ┡━━━━━━━╇━━━━━━━━━╇━━━━━━━━━┩
200
+ │ L0 │ 0.952 │ 0.962 │
201
+ ├───────┼─────────┼─────────┤
202
+ │ L1 │ 0.985 │ 0.933 │
203
+ ├───────┼─────────┼─────────┤
204
+ │ L2 │ 0.982 │ 0.918 │
205
+ └───────┴─────────┴─────────┘
206
+ → opA dropoff: Lnever opB dropoff: Lnever
207
+
208
+ I29: Operand compression —
209
+ -->+ / over
210
+ ┏━━━━━━━┳━━━━━━━━━┳━━━━━━━━━┓
211
+ ┃ Layer ┃ R²(opA) ┃ R²(opB) ┃
212
+ ┡━━━━━━━╇━━━━━━━━━╇━━━━━━━━━┩
213
+ │ L0 │ 0.959 │ 0.965 │
214
+ ├───────┼─────────┼─────────┤
215
+ │ L1 │ 0.986 │ 0.883 │
216
+ ├───────┼─────────┼─────────┤
217
+ │ L2 │ 0.981 │ 0.854 │
218
+ └───────┴─────────┴─────────┘
219
+ → opA dropoff: Lnever opB dropoff: Lnever
220
+
221
+ I29: Operand compression —
222
+ *->- / std
223
+ ┏━━━━━━━┳━━━━━━━━━┳━━━━━━━━━┓
224
+ ┃ Layer ┃ R²(opA) ┃ R²(opB) ┃
225
+ ┡━━━━━━━╇━━━━━━━━━╇━━━━━━━━━┩
226
+ │ L0 │ 0.965 │ 0.964 │
227
+ ├───────┼─────────┼─────────┤
228
+ │ L1 │ 0.994 │ 0.847 │
229
+ ├───────┼─────────┼─────────┤
230
+ │ L2 │ 0.992 │ 0.796 │
231
+ └───────┴─────────┴─────────┘
232
+ → opA dropoff: Lnever opB dropoff: Lnever
233
+
234
+ I29: Operand compression —
235
+ *->- / over
236
+ ┏━━━━━━━┳━━━━━━━━━┳━━━━━━━━━┓
237
+ ┃ Layer ┃ R²(opA) ┃ R²(opB) ┃
238
+ ┡━━━━━━━╇━━━━━━━━━╇━━━━━━━━━┩
239
+ │ L0 │ 0.954 │ 0.960 │
240
+ ├───────┼─────────┼─────────┤
241
+ │ L1 │ 0.982 │ 0.910 │
242
+ ├───────┼─────────┼─────────┤
243
+ │ L2 │ 0.983 │ 0.908 │
244
+ └───────┴─────────┴─────────┘
245
+ → opA dropoff: Lnever opB dropoff: Lnever
246
+
247
+ I29: Operand compression —
248
+ *->+ / std
249
+ ┏━━━━━━━┳━━━━━━━━━┳━━━━━━━━━┓
250
+ ┃ Layer ┃ R²(opA) ┃ R²(opB) ┃
251
+ ┡━━━━━━━╇━━━━━━━━━╇━━━━━━━━━┩
252
+ │ L0 │ 0.965 │ 0.964 │
253
+ ├───────┼─────────┼─────────┤
254
+ │ L1 │ 0.994 │ 0.847 │
255
+ ├───────┼─────────┼─────────┤
256
+ │ L2 │ 0.992 │ 0.796 │
257
+ └───────┴─────────┴─────────┘
258
+ → opA dropoff: Lnever opB dropoff: Lnever
259
+
260
+ I29: Operand compression —
261
+ *->+ / over
262
+ ┏━━━━━━━┳━━━━━━━━━┳━━━━━━━━━┓
263
+ ┃ Layer ┃ R²(opA) ┃ R²(opB) ┃
264
+ ┡━━━━━━━╇━━━━━━━━━╇━━━━━━━━━┩
265
+ │ L0 │ 0.970 │ 0.968 │
266
+ ├───────┼─────────┼─────────┤
267
+ │ L1 │ 0.995 │ 0.885 │
268
+ ├───────┼─────────┼─────────┤
269
+ │ L2 │ 0.994 │ 0.859 │
270
+ └───────┴─────────┴─────────┘
271
+ → opA dropoff: Lnever opB dropoff: Lnever
272
+
273
+ I29: Operand compression —
274
+ +->- / std
275
+ ┏━━━━━━━┳━━━━━━━━━┳━━━━━━━━━┓
276
+ ┃ Layer ┃ R²(opA) ┃ R²(opB) ┃
277
+ ┡━━━━━━━╇━━━━━━━━━╇━━━━━━━━━┩
278
+ │ L0 │ 0.969 │ 0.968 │
279
+ ├───────┼─────────┼─────────┤
280
+ │ L1 │ 0.993 │ 0.911 │
281
+ ├───────┼─────────┼─────────┤
282
+ │ L2 │ 0.990 │ 0.884 │
283
+ └───────┴─────────┴─────────┘
284
+ → opA dropoff: Lnever opB dropoff: Lnever
285
+
286
+ I29: Operand compression —
287
+ +->- / over
288
+ ┏━━━━━━━┳━━━━━━━━━┳━━━━━━━━━┓
289
+ ┃ Layer ┃ R²(opA) ┃ R²(opB) ┃
290
+ ┡━━━━━━━╇━━━━━━━━━╇━━━━━━━━━┩
291
+ │ L0 │ 0.952 │ 0.960 │
292
+ ├───────┼─────────┼─────────┤
293
+ │ L1 │ 0.978 │ 0.919 │
294
+ ├───────┼─────────┼─────────┤
295
+ │ L2 │ 0.976 │ 0.911 │
296
+ └───────┴─────────┴─────────┘
297
+ → opA dropoff: Lnever opB dropoff: Lnever
298
+
299
+ I29: Operand compression —
300
+ +->* / std
301
+ ┏━━━━━━━┳━━━━━━━━━┳━━━━━━━━━┓
302
+ ┃ Layer ┃ R²(opA) ┃ R²(opB) ┃
303
+ ┡━━━━━━━╇━━━━━━━━━╇━━━━━━━━━┩
304
+ │ L0 │ 0.969 │ 0.968 │
305
+ ├───────┼─────────┼─────────┤
306
+ │ L1 │ 0.993 │ 0.911 │
307
+ ├───────┼─────────┼─────────┤
308
+ │ L2 │ 0.990 │ 0.884 │
309
+ └───────┴─────────┴─────────┘
310
+ → opA dropoff: Lnever opB dropoff: Lnever
311
+
312
+ I29: Operand compression —
313
+ +->* / over
314
+ ┏━━━━━━━┳━━━━━━━━━┳━━━━━━━━━┓
315
+ ┃ Layer ┃ R²(opA) ┃ R²(opB) ┃
316
+ ┡━━━━━━━╇━━━━━━━━━╇━━━━━━━━━┩
317
+ │ L0 │ 0.962 │ 0.964 │
318
+ ├───────┼─────────┼─────────┤
319
+ │ L1 │ 0.991 │ 0.863 │
320
+ ├───────┼─────────┼─────────┤
321
+ │ L2 │ 0.988 │ 0.805 │
322
+ └───────┴─────────┴─────────┘
323
+ → opA dropoff: Lnever opB dropoff: Lnever
324
+
325
+
326
+ Generating plots...
327
+ Saved: results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/information_flow/i28_answer_refinement_by_layer.png
328
+ Saved: results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/information_flow/i29_operand_compression.png
329
+
330
+ Saved:
331
+ results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-25
332
+ 6D-3L-4H-1024I/analysis/information_flow/metrics.json
333
+
334
+ ======================================================================
335
+ Information flow analysis complete.
336
+ Output:
337
+ results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-25
338
+ 6D-3L-4H-1024I/analysis/information_flow
339
+ ======================================================================
Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/lasso/*->+.json ADDED
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Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/lasso/-->*.json ADDED
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Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/operand_interaction/g23_interaction_profile.png ADDED

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Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/operand_interaction/g24_interaction_comparison.png ADDED

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+ "semantic_op": "addition"
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+ }
1235
+ }
1236
+ }
Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/operand_interaction/out.txt ADDED
@@ -0,0 +1,117 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ ======================================================================
2
+ OPERAND INTERACTION ANALYSIS (G23–G24)
3
+ ======================================================================
4
+
5
+ Loading results...
6
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mul]_[int=False].pt: 10000 results for -->*
7
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=plus]_[int=False].pt: 10000 results for -->+
8
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=minus]_[int=False].pt: 10000 results for *->-
9
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=plus]_[int=False].pt: 10000 results for *->+
10
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=minus]_[int=False].pt: 10000 results for +->-
11
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mul]_[int=False].pt: 10000 results for +->*
12
+ -->*: 10000 prompts
13
+ -->+: 10000 prompts
14
+ *->-: 10000 prompts
15
+ *->+: 10000 prompts
16
+ +->-: 10000 prompts
17
+ +->*: 10000 prompts
18
+ Layers: [0, 1, 2]
19
+
20
+ Collecting data...
21
+
22
+
23
+ Running G23...
24
+
25
+
26
+ Running G24...
27
+ G23: Interaction profile at eq_sign — -->*
28
+ ┏━━━━━━━┳━━━━━━━━┳━━━━━━━━┳━━━━━━━━┳━━━━━━━━┳━━━━━━━━┳━━━━━━━━┳━━━━━━━┳━━━━━━━━┓
29
+ ┃ Layer ┃ std/R… ┃ std/R… ┃ std/R… ┃ std/i… ┃ over/… ┃ over/… ┃ over… ┃ over/… ┃
30
+ ┡━━━━━━━╇━━━━━━━━╇━━━━━━━━╇━━━━━━━━╇━━━━━━━━╇━━━━━━━━╇━━━━━━━━╇━━━━━━━╇━━━━━━━━┩
31
+ │ L0 │ 0.998 │ 0.977 │ 0.987 │ -0.011 │ 0.998 │ 0.976 │ 0.974 │ -0.024 │
32
+ ├───────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┼────────┤
33
+ │ L1 │ 0.992 │ 0.963 │ 0.976 │ -0.016 │ 0.986 │ 0.989 │ 0.961 │ -0.028 │
34
+ ├───────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┼────────┤
35
+ │ L2 │ 0.981 │ 0.932 │ 0.958 │ -0.023 │ 0.970 │ 0.984 │ 0.934 │ -0.050 │
36
+ └───────┴────────┴────────┴────────┴────────┴────────┴────────┴───────┴────────┘
37
+ G23: Interaction profile at eq_sign — -->+
38
+ ┏━━━━━━━┳━━━━━━━━┳━━━━━━━━┳━━━━━━━━┳━━━━━��━━┳━━━━━━━━┳━━━━━━━━┳━━━━━━━┳━━━━━━━━┓
39
+ ┃ Layer ┃ std/R… ┃ std/R… ┃ std/R… ┃ std/i… ┃ over/… ┃ over/… ┃ over… ┃ over/… ┃
40
+ ┡━━━━━━━╇━━━━━━━━╇━━━━━━━━╇━━━━━━━━╇━━━━━━━━╇━━━━━━━━╇━━━━━━━━╇━━━━━━━╇━━━━━━━━┩
41
+ │ L0 │ 0.998 │ 0.977 │ 0.987 │ -0.011 │ 0.998 │ 0.974 │ 0.986 │ -0.012 │
42
+ ├───────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┼────────┤
43
+ │ L1 │ 0.992 │ 0.963 │ 0.976 │ -0.016 │ 0.991 │ 0.958 │ 0.976 │ -0.016 │
44
+ ├───────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┼────────┤
45
+ │ L2 │ 0.981 │ 0.932 │ 0.958 │ -0.023 │ 0.984 │ 0.934 │ 0.958 │ -0.026 │
46
+ └───────┴────────┴────────┴────────┴────────┴────────┴────────┴───────┴────────┘
47
+ G23: Interaction profile at eq_sign — *->-
48
+ ┏━━━━━━━┳━━━━━━━━┳━━━━━━━━┳━━━━━━━━┳━━━━━━━━┳━━━━━━━━┳━━━━━━━━┳━━━━━━━┳━━━━━━━━┓
49
+ ┃ Layer ┃ std/R… ┃ std/R… ┃ std/R… ┃ std/i… ┃ over/… ┃ over/… ┃ over… ┃ over/… ┃
50
+ ┡━━━━━━━╇━━━━━━━━╇━━━━━━━━╇━━━━━━━━╇━━━━━━━━╇━━━━━━━━╇━━━━━━━━╇━━━━━━━╇━━━━━━━━┩
51
+ │ L0 │ 0.998 │ 0.975 │ 0.972 │ -0.026 │ 0.997 │ 0.969 │ 0.983 │ -0.014 │
52
+ ├───────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┼────────┤
53
+ │ L1 │ 0.984 │ 0.989 │ 0.946 │ -0.043 │ 0.987 │ 0.955 │ 0.968 │ -0.019 │
54
+ ├───────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┼────────┤
55
+ │ L2 │ 0.969 │ 0.985 │ 0.911 │ -0.073 │ 0.973 │ 0.931 │ 0.952 │ -0.021 │
56
+ └───────┴────────┴────────┴────────┴────────┴────────┴────────┴───────┴────────┘
57
+ G23: Interaction profile at eq_sign — *->+
58
+ ┏━━━━━━━┳━━━━━━━━┳━━━━━━━━┳━━━━━━━━┳━━━━━━━━┳━━━━━━━━┳━━━━━━━━┳━━━━━━━┳━━━━━━━━┓
59
+ ┃ Layer ┃ std/R… ┃ std/R… ┃ std/R… ┃ std/i… ┃ over/… ┃ over/… ┃ over… ┃ over/… ┃
60
+ ┡━━━━━━━╇━━━━━━━━╇━━━━━━━━╇━━━━━━━━╇━━━━━━━━╇━━━━━━━━╇━━━━━━━━╇━━━━━━━╇━━━━━━━━┩
61
+ │ L0 │ 0.998 │ 0.975 │ 0.972 │ -0.026 │ 0.998 │ 0.975 │ 0.986 │ -0.012 │
62
+ ├───────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┼────────┤
63
+ │ L1 │ 0.984 │ 0.989 │ 0.946 │ -0.043 │ 0.989 │ 0.942 │ 0.968 │ -0.021 │
64
+ ├───────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┼────────┤
65
+ │ L2 │ 0.969 │ 0.985 │ 0.911 │ -0.073 │ 0.981 │ 0.907 │ 0.945 │ -0.035 │
66
+ └───────┴────────┴────────┴────────┴────────┴────────┴────────┴───────┴────────┘
67
+ G23: Interaction profile at eq_sign — +->-
68
+ ┏━━━━━━━┳━━━━━━━━┳━━━━━━━━┳━━━���━━━━┳━━━━━━━━┳━━━━━━━━┳━━━━━━━━┳━━━━━━━┳━━━━━━━━┓
69
+ ┃ Layer ┃ std/R… ┃ std/R… ┃ std/R… ┃ std/i… ┃ over/… ┃ over/… ┃ over… ┃ over/… ┃
70
+ ┡━━━━━━━╇━━━━━━━━╇━━━━━━━━╇━━━━━━━━╇━━━━━━━━╇━━━━━━━━╇━━━━━━━━╇━━━━━━━╇━━━━━━━━┩
71
+ │ L0 │ 0.998 │ 0.976 │ 0.986 │ -0.011 │ 0.997 │ 0.971 │ 0.984 │ -0.013 │
72
+ ├───────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┼────────┤
73
+ │ L1 │ 0.992 │ 0.952 │ 0.973 │ -0.019 │ 0.990 │ 0.952 │ 0.967 │ -0.023 │
74
+ ├───────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┼────────┤
75
+ │ L2 │ 0.985 │ 0.929 │ 0.957 │ -0.028 │ 0.977 │ 0.919 │ 0.947 │ -0.031 │
76
+ └───────┴────────┴────────┴────────┴────────┴────────┴────────┴───────┴────────┘
77
+ G23: Interaction profile at eq_sign — +->*
78
+ ┏━━━━━━━┳━━━━━━━━┳━━━━━━━━┳━━━━━━━━┳━━━━━━━━┳━━━━━━━━┳━━━━━━━━┳━━━━━━━┳━━━━━━━━┓
79
+ ┃ Layer ┃ std/R… ┃ std/R… ┃ std/R… ┃ std/i… ┃ over/… ┃ over/… ┃ over… ┃ over/… ┃
80
+ ┡━━━━━━━╇━━━━━━━━╇━━━━━━━━╇━━━━━━━━╇━━━━━━━━╇━━━━━━━━╇━━━━━━━━╇━━━━━━━╇━━━━━━━━┩
81
+ │ L0 │ 0.998 │ 0.976 │ 0.986 │ -0.011 │ 0.998 │ 0.974 │ 0.971 │ -0.027 │
82
+ ├───────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┼────────┤
83
+ │ L1 │ 0.992 │ 0.952 │ 0.973 │ -0.019 │ 0.986 │ 0.988 │ 0.954 │ -0.035 │
84
+ ├───────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┼────────┤
85
+ │ L2 │ 0.985 │ 0.929 │ 0.957 │ -0.028 │ 0.970 │ 0.984 │ 0.921 │ -0.062 │
86
+ └───────┴────────┴────────┴────────┴────────┴────────┴────────┴───────┴────────┘
87
+ G24: Operand interaction summary across operations
88
+ ┏━━━━━━┳━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━┓
89
+ ┃ Pair ┃ Semantic op ┃ First interaction layer ┃ Peak interaction score ┃
90
+ ┡━━━━━━╇━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━┩
91
+ │ -->* │ subtraction │ never │ -0.011 │
92
+ ├──────┼────────────────┼─────────────────────────┼────────────────────────┤
93
+ │ -->+ │ subtraction │ never │ -0.011 │
94
+ ├──────┼────────────────┼─────────────────────────┼────────────────────────┤
95
+ │ *->- │ multiplication │ never │ -0.026 │
96
+ ├──────┼────────────────┼─────────────────────────┼────────────────────────┤
97
+ │ *->+ │ multiplication │ never │ -0.026 │
98
+ ├──────┼────────────────┼─────────────────────────┼────────────��───────────┤
99
+ │ +->- │ addition │ never │ -0.011 │
100
+ ├──────┼────────────────┼─────────────────────────┼────────────────────────┤
101
+ │ +->* │ addition │ never │ -0.011 │
102
+ └──────┴────────────────┴─────────────────────────┴────────────────────────┘
103
+
104
+ Generating plots...
105
+ Saved: results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/operand_interaction/g23_interaction_profile.png
106
+ Saved: results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/operand_interaction/g24_interaction_comparison.png
107
+
108
+ Saved:
109
+ results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-25
110
+ 6D-3L-4H-1024I/analysis/operand_interaction/metrics.json
111
+
112
+ ======================================================================
113
+ Operand interaction analysis complete.
114
+ Output:
115
+ results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-25
116
+ 6D-3L-4H-1024I/analysis/operand_interaction
117
+ ======================================================================
Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/operand_representations/a1_linear_decodability.png ADDED

Git LFS Details

  • SHA256: 278abd6b949ff7b6276343f8bedaf150359a18ac4e0641cccebf5e64eb62306f
  • Pointer size: 130 Bytes
  • Size of remote file: 82 kB
Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/operand_representations/a4_digit_decodability.png ADDED

Git LFS Details

  • SHA256: 871b8125865748777fd7f938d270a193096b605cfbd5dc25e8fa0c109ea2bc74
  • Pointer size: 130 Bytes
  • Size of remote file: 41.9 kB
Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/operand_representations/metrics.json ADDED
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1
+ {
2
+ "a1_linear_decodability": {
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+ "-->*": {
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+ "0": {
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+ "std": {
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+ "operand_b": 0.9623537659645081
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+ "1": {
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+ "operand_b": 0.9331388235092163
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+ "over": {
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+ "operand_a": 0.9914908885955811,
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+ "operand_b": 0.8394277572631836
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+ "2": {
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+ "std": {
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+ "operand_a": 0.9821826577186584,
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+ "operand_b": 0.9176547050476074
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+ "over": {
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+ "operand_a": 0.9883530974388123,
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+ "operand_b": 0.7678525686264038
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+ "operand_b": 0.8832247614860534
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+ "2": {
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+ "operand_a": 0.9821826577186584,
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+ "operand_b": 0.9176547050476074
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+ "over": {
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+ "operand_a": 0.9812027812004089,
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+ "operand_b": 0.8538702487945556
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+ "*->-": {
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+ "0": {
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+ "std": {
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+ "operand_a": 0.9648748159408569,
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+ "operand_b": 0.9641398191452026
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+ },
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+ "over": {
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+ "operand_a": 0.9543171525001526,
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+ "operand_b": 0.9598609566688537
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+ }
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+ },
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+ "1": {
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+ "std": {
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+ "operand_a": 0.994364881515503,
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+ "operand_b": 0.8465123534202575
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+ },
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+ "over": {
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+ "operand_a": 0.9821605443954468,
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+ "operand_b": 0.910212242603302
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+ "2": {
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+ "operand_b": 0.7963724255561828
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+ "over": {
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+ "operand_a": 0.9833922982215881,
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+ "operand_b": 0.908285939693451
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+ }
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+ },
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+ "*->+": {
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+ "0": {
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+ "operand_a": 0.9648748159408569,
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+ "operand_b": 0.9641398191452026
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+ "over": {
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+ "operand_a": 0.9700850963592529,
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+ "operand_b": 0.9682432532310485
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+ "1": {
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1
+ ======================================================================
2
+ OPERATION DISAMBIGUATION ANALYSIS (D13–D15)
3
+ ======================================================================
4
+
5
+ Loading results...
6
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mul]_[int=False].pt: 10000 results for -->*
7
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=plus]_[int=False].pt: 10000 results for -->+
8
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=minus]_[int=False].pt: 10000 results for *->-
9
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=plus]_[int=False].pt: 10000 results for *->+
10
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=minus]_[int=False].pt: 10000 results for +->-
11
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mul]_[int=False].pt: 10000 results for +->*
12
+ -->*: 10000 prompts
13
+ -->+: 10000 prompts
14
+ *->-: 10000 prompts
15
+ *->+: 10000 prompts
16
+ +->-: 10000 prompts
17
+ +->*: 10000 prompts
18
+ Layers: [0, 1, 2]
19
+ Semantic operations: ['addition', 'multiplication', 'subtraction'] (n=3)
20
+
21
+ Collecting probe data...
22
+
23
+ Running D13/D15...
24
+
25
+
26
+ Running D14...
27
+
28
+ D13: Semantic operation probe accuracy
29
+ (chance=0.33)
30
+
31
+ Layer opA opB op = ans
32
+ ───────────────────────────────────────────────
33
+ L0 0.943 0.944 0.985 0.837 0.957
34
+ L1 0.993 0.998 0.999 0.998 0.997
35
+ L2 0.999 1.000 1.000 1.000 0.999
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+
37
+ D15: First layer exceeding
38
+ acc=0.70 per position
39
+
40
+ Position Tipping Layer
41
+ ──────────────────────────
42
+ opA 0
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+ opB 0
44
+ op 0
45
+ = 0
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+ ans 0
47
+
48
+ D14: -->* — Symbol vs semantic at operator position
49
+ (sim_semantic > sim_symbol → residual encodes semantics, not
50
+ symbol)
51
+
52
+ Layer sim_same_semantic sim_same_symbol sem_clf_acc
53
+ ───────────────────────────────────────────────────────────
54
+ L0 nan 1.000 nan
55
+ L1 nan 1.000 nan
56
+ L2 nan 1.000 nan
57
+
58
+ D14: -->+ — Symbol vs semantic at operator position
59
+ (sim_semantic > sim_symbol → residual encodes semantics, not
60
+ symbol)
61
+
62
+ Layer sim_same_semantic sim_same_symbol sem_clf_acc
63
+ ───────────────────────────────────────────────────────────
64
+ L0 nan 1.000 nan
65
+ L1 nan 1.000 nan
66
+ L2 nan 1.000 nan
67
+
68
+ D14: *->- — Symbol vs semantic at operator position
69
+ (sim_semantic > sim_symbol → residual encodes semantics, not
70
+ symbol)
71
+
72
+ Layer sim_same_semantic sim_same_symbol sem_clf_acc
73
+ ───────────────────────────────────────────────────────────
74
+ L0 nan 1.000 nan
75
+ L1 nan 1.000 nan
76
+ L2 nan 1.000 nan
77
+
78
+ D14: *->+ — Symbol vs semantic at operator position
79
+ (sim_semantic > sim_symbol → residual encodes semantics, not
80
+ symbol)
81
+
82
+ Layer sim_same_semantic sim_same_symbol sem_clf_acc
83
+ ───────────────────────────────────────────────────────────
84
+ L0 nan 1.000 nan
85
+ L1 nan 1.000 nan
86
+ L2 nan 1.000 nan
87
+
88
+ D14: +->- — Symbol vs semantic at operator position
89
+ (sim_semantic > sim_symbol → residual encodes semantics, not
90
+ symbol)
91
+
92
+ Layer sim_same_semantic sim_same_symbol sem_clf_acc
93
+ ───────────────────────────────────────────────────────────
94
+ L0 nan 1.000 nan
95
+ L1 nan 1.000 nan
96
+ L2 nan 1.000 nan
97
+
98
+ D14: +->* — Symbol vs semantic at operator position
99
+ (sim_semantic > sim_symbol → residual encodes semantics, not
100
+ symbol)
101
+
102
+ Layer sim_same_semantic sim_same_symbol sem_clf_acc
103
+ ───────────────────────────────────────────────────────────
104
+ L0 nan 1.000 nan
105
+ L1 nan 1.000 nan
106
+ L2 nan 1.000 nan
107
+
108
+
109
+ Generating plots...
110
+ Saved: results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/operation_disambiguation/d13_operation_probe_accuracy.png
111
+ Saved: results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/operation_disambiguation/d14_symbol_vs_semantic.png
112
+
113
+ Saved: results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/operation_disambiguation/metrics.json
114
+
115
+ ======================================================================
116
+ Operation disambiguation analysis complete.
117
+ Output: results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/operation_disambiguation
118
+ ======================================================================
Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/sign_magnitude/b7_sign_magnitude.png ADDED

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Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/sign_magnitude/out.txt ADDED
@@ -0,0 +1,81 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ ======================================================================
2
+ SIGN AND MAGNITUDE ANALYSIS (B7–B9)
3
+ ======================================================================
4
+
5
+ Loading results...
6
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=mul]_[int=False].pt: 10000 results for -->*
7
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=minus]_[oop=plus]_[int=False].pt: 10000 results for -->+
8
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=minus]_[int=False].pt: 10000 results for *->-
9
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=mul]_[oop=plus]_[int=False].pt: 10000 results for *->+
10
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=minus]_[int=False].pt: 10000 results for +->-
11
+ ✓ Loaded [m=arithmetic-circuit-overloading--Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I]_[p=10000]_[fs=8]_[rv=True]_[pz=True]_[op=plus]_[oop=mul]_[int=False].pt: 10000 results for +->*
12
+ -->*: 10000 prompts
13
+ -->+: 10000 prompts
14
+ *->-: 10000 prompts
15
+ *->+: 10000 prompts
16
+ +->-: 10000 prompts
17
+ +->*: 10000 prompts
18
+ Layers: [0, 1, 2]
19
+
20
+ Collecting data...
21
+
22
+
23
+ Running B7...
24
+
25
+
26
+ Running B8...
27
+
28
+
29
+ Running B9...
30
+
31
+ B7: Sign vs magnitude encoding (mean across pairs)
32
+
33
+ Layer Ctx Pos AUROC-sign R²-magnitude R²-raw
34
+ ─────────────────────────────────────────────────────────────
35
+ L0 std eq_sign 0.997 0.956 0.982
36
+ L0 std answer 0.941 0.612 0.701
37
+ L0 over eq_sign 0.996 0.945 0.981
38
+ L0 over answer 0.939 0.606 0.696
39
+ L1 std eq_sign 0.999 0.933 0.965
40
+ L1 std answer 0.999 0.991 0.994
41
+ L1 over eq_sign 0.999 0.923 0.966
42
+ L1 over answer 0.999 0.984 0.989
43
+ L2 std eq_sign 1.000 0.900 0.942
44
+ L2 std answer 1.000 0.980 0.985
45
+ L2 over eq_sign 1.000 0.889 0.943
46
+ L2 over answer 1.000 0.971 0.980
47
+
48
+ B8: Is a > b encoded? AUROC (subtraction
49
+ pairs only)
50
+
51
+ Pair Layer opA opB eq_sign
52
+ ────────────────────────────────────────
53
+ -->* L0 0.820 0.872 0.998
54
+ -->* L1 0.821 0.918 0.999
55
+ -->* L2 0.820 0.985 1.000
56
+ -->+ L0 0.820 0.872 0.998
57
+ -->+ L1 0.821 0.918 0.999
58
+ -->+ L2 0.820 0.985 1.000
59
+
60
+ B9: Answer magnitude scaling (mean across pairs)
61
+
62
+ Layer Ctx Pearson-r(norm) R²(norm-scalar) R²(vector)
63
+ ───────────────────────────────────────────────────────────────
64
+ L0 std 0.135 0.138 0.612
65
+ L0 over 0.013 0.106 0.606
66
+ L1 std 0.103 0.234 0.991
67
+ L1 over 0.181 0.126 0.984
68
+ L2 std 0.179 0.241 0.980
69
+ L2 over 0.216 0.201 0.971
70
+
71
+
72
+ Generating plots...
73
+ Saved: results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/sign_magnitude/b7_sign_magnitude.png
74
+ Saved: results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/sign_magnitude/b9_magnitude_scaling.png
75
+
76
+ Saved: results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/sign_magnitude/metrics.json
77
+
78
+ ======================================================================
79
+ Sign and magnitude analysis complete.
80
+ Output: results/Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/sign_magnitude
81
+ ======================================================================
Llama-3.3-70B-Instruct-3d-1M-100K-0.1-reverse-padzero-plus-mul-sub-99-256D-3L-4H-1024I/analysis/superposition/j30_polysemantic_neurons.png ADDED

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