{
 "what": "re-weighting B to A's companion shares, and the profile's shift in twin units, for the eight constructs Table B.3 reports",
 "definition": {
  "targets": "the non-exempt companions whose |share(A) - share(B)| exceeds 0.15; exemptions are the UNION of audit.COMPONENTS and the inventory's `components`, the more generous of the two lists",
  "weights": "maximum-entropy weights on B's prompts hitting A's shares exactly; the largest-ESS weighting that satisfies the moments, so the shift is a best case",
  "feasibility": "settled by a phase-1 LP over the whole simplex, not by an optimiser's residual",
  "shift": "relative_distance between the base concept profile (A - B) and the re-weighted one (A - B_rw) at the middle layer, divided by the construct's own twin distance -- check 4's path",
  "reference": "pretrain_iter_0484865",
  "counts": "both twins pooled, as the battery files are read"
 },
 "fixed_before_computing": true,
 "per_construct": {
  "ClassDef": {
   "outcome": "NOT COMPUTABLE",
   "why": "no per-prompt activations: this construct is outside the 31-construct subset, and its accumulators are cell means, in which companion presence is not an axis"
  },
  "For": {
   "n_a_usable": 1440,
   "n_b_usable": 1440,
   "n_targets": 8,
   "targets": [
    {
     "companion": "Attribute",
     "a": 0.9555555555555556,
     "b": 0.7368055555555556,
     "diff": 0.21875
    },
    {
     "companion": "Call",
     "a": 0.8069444444444445,
     "b": 0.6409722222222223,
     "diff": 0.1659722222222222
    },
    {
     "companion": "Dict",
     "a": 0.14930555555555555,
     "b": 0.32013888888888886,
     "diff": -0.1708333333333333
    },
    {
     "companion": "FormattedValue",
     "a": 0.0,
     "b": 0.17430555555555555,
     "diff": -0.17430555555555555
    },
    {
     "companion": "If",
     "a": 0.5090277777777777,
     "b": 0.35,
     "diff": 0.15902777777777777
    },
    {
     "companion": "JoinedStr",
     "a": 0.0,
     "b": 0.17430555555555555,
     "diff": -0.17430555555555555
    },
    {
     "companion": "List",
     "a": 0.19236111111111112,
     "b": 0.3701388888888889,
     "diff": -0.17777777777777778
    },
    {
     "companion": "Tuple",
     "a": 0.3402777777777778,
     "b": 0.5680555555555555,
     "diff": -0.22777777777777775
    }
   ],
   "infeasible": false,
   "max_moment_error": 6.036316169133471e-10,
   "ess": 455.2185300830554,
   "n": 1440,
   "ess_fraction": 0.31612397922434404,
   "heaviest_prompt_weight": 0.005508483725049634,
   "heaviest_10_together": 0.05508483725049634,
   "outcome": "run",
   "layer": 12,
   "layers": 24,
   "relative_distance": 0.2999265266693839,
   "twin_distance": 0.1015550953309882,
   "shift_in_twin_units": 2.9533380446531403,
   "cosine_base_vs_reweighted": 0.9553385337595073,
   "norm_base": 51.284900621502125,
   "norm_reweighted": 52.60665983320272,
   "b_share_shift_max": 0.22777777737172755
  },
  "FunctionDef": {
   "outcome": "NOT COMPUTABLE",
   "why": "no per-prompt activations: this construct is outside the 31-construct subset, and its accumulators are cell means, in which companion presence is not an axis"
  },
  "If": {
   "n_a_usable": 1440,
   "n_b_usable": 1440,
   "n_targets": 7,
   "targets": [
    {
     "companion": "BoolOp",
     "a": 0.16597222222222222,
     "b": 0.0006944444444444445,
     "diff": 0.16527777777777777
    },
    {
     "companion": "Compare",
     "a": 0.69375,
     "b": 0.01597222222222222,
     "diff": 0.6777777777777778
    },
    {
     "companion": "For",
     "a": 0.125,
     "b": 0.4888888888888889,
     "diff": -0.3638888888888889
    },
    {
     "companion": "FormattedValue",
     "a": 0.0,
     "b": 0.17708333333333334,
     "diff": -0.17708333333333334
    },
    {
     "companion": "IfExp",
     "a": 0.015277777777777777,
     "b": 0.18611111111111112,
     "diff": -0.17083333333333334
    },
    {
     "companion": "JoinedStr",
     "a": 0.0,
     "b": 0.17708333333333334,
     "diff": -0.17708333333333334
    },
    {
     "companion": "UnaryOp",
     "a": 0.23125,
     "b": 0.010416666666666666,
     "diff": 0.22083333333333335
    }
   ],
   "infeasible": true,
   "total_moment_violation": 0.0909722222222222,
   "unreachable": [
    {
     "j": 0,
     "target": 0.16597222222222222,
     "b_share": 0.0006944444444444445,
     "best_attainable": 0.07500000000000001,
     "shortfall": 0.0909722222222222,
     "companion": "BoolOp"
    }
   ],
   "outcome": "IMPOSSIBLE",
   "why": "no weighting of B's prompts can reach A's companion shares; the LP's minimum total moment violation is 0.0910"
  },
  "Match": {
   "outcome": "NOT COMPUTABLE",
   "why": "no per-prompt activations: this construct is outside the 31-construct subset, and its accumulators are cell means, in which companion presence is not an axis"
  },
  "Try": {
   "outcome": "NOT COMPUTABLE",
   "why": "no per-prompt activations: this construct is outside the 31-construct subset, and its accumulators are cell means, in which companion presence is not an axis"
  },
  "While": {
   "n_a_usable": 1440,
   "n_b_usable": 1440,
   "n_targets": 11,
   "targets": [
    {
     "companion": "Attribute",
     "a": 0.8888888888888888,
     "b": 0.6333333333333333,
     "diff": 0.25555555555555554
    },
    {
     "companion": "AugAssign",
     "a": 0.6506944444444445,
     "b": 0.3055555555555556,
     "diff": 0.3451388888888889
    },
    {
     "companion": "BoolOp",
     "a": 0.2652777777777778,
     "b": 0.0020833333333333333,
     "diff": 0.26319444444444445
    },
    {
     "companion": "Call",
     "a": 0.9659722222222222,
     "b": 0.76875,
     "diff": 0.1972222222222222
    },
    {
     "companion": "Compare",
     "a": 0.6916666666666667,
     "b": 1.0,
     "diff": -0.30833333333333335
    },
    {
     "companion": "FormattedValue",
     "a": 0.0,
     "b": 0.20694444444444443,
     "diff": -0.20694444444444443
    },
    {
     "companion": "If",
     "a": 0.7465277777777778,
     "b": 0.3055555555555556,
     "diff": 0.4409722222222222
    },
    {
     "companion": "JoinedStr",
     "a": 0.0,
     "b": 0.20694444444444443,
     "diff": -0.20694444444444443
    },
    {
     "companion": "Subscript",
     "a": 0.6625,
     "b": 0.4847222222222222,
     "diff": 0.17777777777777776
    },
    {
     "companion": "Tuple",
     "a": 0.3625,
     "b": 0.15347222222222223,
     "diff": 0.20902777777777776
    },
    {
     "companion": "UnaryOp",
     "a": 0.5527777777777778,
     "b": 0.05486111111111111,
     "diff": 0.4979166666666667
    }
   ],
   "infeasible": true,
   "total_moment_violation": 0.40416666666666673,
   "unreachable": [
    {
     "j": 4,
     "target": 0.6916666666666667,
     "b_share": 1.0,
     "best_attainable": 1.0,
     "shortfall": 0.3083333333333334,
     "companion": "Compare"
    },
    {
     "j": 6,
     "target": 0.7465277777777778,
     "b_share": 0.3055555555555556,
     "best_attainable": 0.6506944444444445,
     "shortfall": 0.09583333333333333,
     "companion": "If"
    }
   ],
   "outcome": "IMPOSSIBLE",
   "why": "no weighting of B's prompts can reach A's companion shares; the LP's minimum total moment violation is 0.4042"
  },
  "With": {
   "n_a_usable": 1440,
   "n_b_usable": 1440,
   "n_targets": 7,
   "targets": [
    {
     "companion": "AsyncFunctionDef",
     "a": 0.0,
     "b": 0.20347222222222222,
     "diff": -0.20347222222222222
    },
    {
     "companion": "AsyncWith",
     "a": 0.0,
     "b": 0.20347222222222222,
     "diff": -0.20347222222222222
    },
    {
     "companion": "Attribute",
     "a": 0.9847222222222223,
     "b": 0.6791666666666667,
     "diff": 0.3055555555555556
    },
    {
     "companion": "Call",
     "a": 1.0,
     "b": 0.6472222222222223,
     "diff": 0.35277777777777775
    },
    {
     "companion": "FormattedValue",
     "a": 0.0,
     "b": 0.16597222222222222,
     "diff": -0.16597222222222222
    },
    {
     "companion": "ImportFrom",
     "a": 0.44027777777777777,
     "b": 0.6041666666666666,
     "diff": -0.16388888888888886
    },
    {
     "companion": "JoinedStr",
     "a": 0.0,
     "b": 0.16597222222222222,
     "diff": -0.16597222222222222
    }
   ],
   "infeasible": false,
   "max_moment_error": 8.703134879439745e-10,
   "ess": 328.8384379941171,
   "n": 1440,
   "ess_fraction": 0.22836002638480354,
   "heaviest_prompt_weight": 0.004262082240559387,
   "heaviest_10_together": 0.04262082240559387,
   "outcome": "run",
   "layer": 12,
   "layers": 24,
   "relative_distance": 0.5760889901850087,
   "twin_distance": 0.10473068786874007,
   "shift_in_twin_units": 5.500670356591435,
   "cosine_base_vs_reweighted": 0.8967076814715266,
   "norm_base": 58.07043587911861,
   "norm_reweighted": 83.86589900298534,
   "b_share_shift_max": 0.3527777777577208
  }
 },
 "summary": {
  "n_reported": 2,
  "n_impossible": 2,
  "n_not_computable": 4,
  "shift_in_twin_units": {
   "For": 2.9533380446531403,
   "With": 5.500670356591435
  },
  "median_shift_in_twin_units": 4.227004200622288,
  "reading": "the shift is what correcting the companion asymmetry would do to the concept profile, in units of what redrawing the battery does. Above 1 means the asymmetry moves the profile by more than the instrument's own noise."
 },
 "minutes": 0.5435326019922893,
 "provenance": {
  "inputs": [
   "record/pretrain_iter_0484865/twin{1,2}__{For,With,If,While}_{A,B}.npz",
   "record/pretrain_iter_0484865/twin1__C_cells.npz",
   "phase_battery/twin{1,2}/*_{A,B}.jsonl.gz",
   "validation/paper1/LICENCE_TABLE.json",
   "inventory/inventory_v2.json"
  ],
  "reference": "pretrain_iter_0484865",
  "battery_prompt_hash": "570b42db13f8fe5772b8d1a9ad7d55d6fa1279dae5948ad94e8363789bcbc1ad",
  "code_commit": "77765e1",
  "design": "9-Paper-1/2610-18Oct_PAPER-1-Design.md sha256 47f6a664\u2026"
 }
}