{
  "seed": 3030,
  "device": "cuda",
  "math": {
    "coprime": {
      "gcd": 1,
      "Dt": [
        0,
        4,
        8
      ],
      "Dr": [
        0,
        3,
        6,
        9
      ],
      "physical_union_count": 6,
      "physical_formula": 6,
      "pair_count": 12,
      "virtual_offsets": [
        0,
        3,
        4,
        6,
        7,
        8,
        9,
        10,
        11,
        13,
        14,
        17
      ],
      "virtual_count": 12,
      "graph_reachable_offsets": [
        0,
        3,
        4,
        6,
        7,
        8,
        9,
        10,
        11,
        13,
        14,
        17
      ]
    },
    "non_coprime_control": {
      "gcd": 2,
      "Dt": [
        0,
        4
      ],
      "Dr": [
        0,
        2,
        4,
        6
      ],
      "virtual_offsets": [
        0,
        2,
        4,
        6,
        8,
        10
      ],
      "virtual_count": 6
    },
    "claim_holds": true
  },
  "training": {
    "cpa": {
      "final_loss": 0.020130235701799393,
      "accuracy": 0.9983259439468384,
      "seconds": 3.4058370100101456
    },
    "single_sparse": {
      "final_loss": 2.9466536045074463,
      "accuracy": 0.0479910746216774,
      "seconds": 3.195070609974209
    },
    "dense": {
      "final_loss": 2.7530713081359863,
      "accuracy": 0.14453125,
      "seconds": 0.7880164489906747
    },
    "cost_summary": {
      "cpa_edges_per_token_interior": 7,
      "single_sparse_edges_per_token": 7,
      "dense_edges_per_token_at_L": 12.0,
      "cpa_virtual_count": 12,
      "cpa_fraction_virtual_offsets_gt_8": 0.5
    }
  }
}