#!/usr/bin/env python3 """Capture both lenses on the same residuals; see METHODS.md for the recorded protocol.""" #!/usr/bin/env python3 from __future__ import annotations import argparse import ast import glob import hashlib import json import os import re import sys import time from collections import defaultdict from datetime import datetime, timezone ENDOFTEXT_ID = 248044 # <|endoftext|> (config bos/eos id; tokenizer.pad_token) IM_END_ID = 248046 # <|im_end|> (tokenizer.eos_token) EOG_IDS = (ENDOFTEXT_ID, IM_END_ID) HERE = os.path.dirname(os.path.abspath(__file__)) DEFAULT_ITEMS_DIR = os.path.abspath(os.path.join(HERE, "..", "data")) DEFAULT_MODEL = "Qwen/Qwen3.6-27B" DEFAULT_TOKENIZER = "Qwen/Qwen3.6-27B" DEFAULT_LENS_HOSTED = "lenses/hosted_n1000.pt" DEFAULT_LENS_PILE5 = "lenses/qwen36_pile5.pt" DEFAULT_OUT = "evidence/v2_box" NUM_RE = re.compile(r"(? str: return datetime.now(timezone.utc).strftime("%Y-%m-%dT%H:%M:%SZ") def log(*a): print(f"[{ts()}]", *a, flush=True) def sha256_file(path: str) -> str: h = hashlib.sha256() with open(path, "rb") as f: for chunk in iter(lambda: f.read(1 << 20), b""): h.update(chunk) return h.hexdigest() # --------------------------------------------------------------------------- scorer definitions (verbatim, via AST) def load_scorer_defs(path: str): """Execute only the W/C/OPS assignments and forms()/syn() defs of synonyms.py.""" src = open(path, encoding="utf-8").read() tree = ast.parse(src) parts = [] for node in tree.body: if isinstance(node, ast.Assign) and any(isinstance(t, ast.Name) and t.id in ("W", "C", "OPS") for t in node.targets): parts.append(ast.get_source_segment(src, node)) elif isinstance(node, ast.FunctionDef) and node.name in ("forms", "syn"): parts.append(ast.get_source_segment(src, node)) ns: dict = {} exec("\n".join(parts), ns) # noqa: S102 -- the frozen scorer's own definitions missing = [k for k in ("W", "C", "OPS", "forms", "syn") if k not in ns] if missing: raise RuntimeError(f"{path}: could not extract {missing}") return ns, hashlib.sha256(src.encode("utf-8")).hexdigest() # --------------------------------------------------------------------------- items OP_PREC = {"+": 1, "-": 1, "*": 2, "/": 2, "%": 2, "×": 2, "÷": 2, "x": 2} def _apply(a: int, op: str, b: int): if op == "+": return a + b if op == "-": return a - b if op in ("*", "×", "x"): return a * b if op in ("/", "÷"): return a // b if b and a % b == 0 else None if op == "%": return a % b if b else None return None def derive_decoy(prompt: str, intermediate: str, target: str): """Wrong-precedence decoy for a 3-operand expression `a op b op c` (parens optional), as in METHODS.md ('for 2 + 3 * 4, 5 instead of 12'): the value of the pair that is NOT the correct first step. Returns None (undecidable) unless the parsed correct first step equals the item's intermediate and the decoy is a distinct non-negative integer.""" tail = prompt.rstrip().rstrip("=").strip() tail = re.split(r"[.\n:;]", tail)[-1].strip() ops = r"[+\-*/%×÷x]" m1 = re.fullmatch(rf"\(\s*(\d+)\s*({ops})\s*(\d+)\s*\)\s*({ops})\s*(\d+)", tail) m2 = re.fullmatch(rf"(\d+)\s*({ops})\s*\(\s*(\d+)\s*({ops})\s*(\d+)\s*\)", tail) m3 = re.fullmatch(rf"(\d+)\s*({ops})\s*(\d+)\s*({ops})\s*(\d+)", tail) if m1: a, o1, b, o2, c = m1.groups(); first_is_left = True elif m2: a, o1, b, o2, c = m2.groups(); first_is_left = False elif m3: a, o1, b, o2, c = m3.groups(); first_is_left = OP_PREC[o2] <= OP_PREC[o1] else: return None a, b, c = int(a), int(b), int(c) left, right = _apply(a, o1, b), _apply(b, o2, c) first, other = (left, right) if first_is_left else (right, left) if first is None or str(first) != intermediate or other is None or other < 0: return None if str(other) in (intermediate, str(target)): return None return str(other) def load_items(items_dir: str): paper = json.load(open(os.path.join(items_dir, "order_ops.json")))["items"] new = json.load(open(os.path.join(items_dir, "items_new50.json")))["items"] rows = [] for setname, its in (("paper", paper), ("new", new)): for it in its: num = [k for k in it["intermediates"] if k.lstrip("-").isdigit()][0] op = [k for k in it["intermediates"] if not k.lstrip("-").isdigit()][0] nospace = it.get("prompt_nospace", it["prompt"].rstrip()) if "prompt_nospace" in it and it["prompt_nospace"] != it["prompt"].rstrip(): log(f"NOTE {setname}/{it['name']}: prompt_nospace != prompt.rstrip()") decoy_src = "item" if it.get("decoy") else "derived" decoy = str(it["decoy"]) if it.get("decoy") else derive_decoy(it["prompt"], num, str(it["target"])) used = set(re.findall(r"\d", it["prompt"])) | set(re.findall(r"\d", str(it["target"]))) | set(num) rows.append(dict(set=setname, name=it["name"], prompt=it["prompt"], prompt_nospace=nospace, target=str(it["target"]), intermediates=list(it["intermediates"]), num=num, op=op, decoy=decoy, decoy_source=decoy_src if decoy else None, two_digit=int(num) >= 10, uninvolved_digits=[str(d) for d in range(10) if str(d) not in used], single_token_forms=it.get("single_token_forms"))) return rows # --------------------------------------------------------------------------- token ids for synonyms def build_norm_index(tok): """vocab id -> decode().strip().lower(); inverted. The scorer's matching rule over the whole vocab.""" index: dict[str, list[int]] = defaultdict(list) for i in range(len(tok)): s = tok.decode([i]).strip().lower() if s: index[s].append(i) return index def synonym_ids(tok, syn_set, norm_index): entries: dict[int, dict] = {} for s in sorted(syn_set): for cand, tag in ((s, "tok"), (" " + s, "tok_space")): ids = tok(cand, add_special_tokens=False)["input_ids"] if len(ids) == 1: entries.setdefault(ids[0], {"str": tok.decode(ids), "rules": set()})["rules"].add(tag) for i in norm_index.get(s, ()): entries.setdefault(i, {"str": tok.decode([i]), "rules": set()})["rules"].add("vocab") return [dict(id=i, str=e["str"], rules=sorted(e["rules"])) for i, e in sorted(entries.items())] def build_keys(tok, scorer, item, norm_index): keys = {"intermediate": item["num"], "target": item["target"], "operation": item["op"]} if item["decoy"]: keys["decoy"] = item["decoy"] out = {} for role, key in keys.items(): syn = scorer["syn"](key) out[role] = dict(key=key, synonyms=sorted(syn), ids=synonym_ids(tok, syn, norm_index)) out["intermediate_nocjk_synonyms"] = sorted(scorer["syn"](item["num"], False)) return out # --------------------------------------------------------------------------- lens reader (one for both files) def load_lens(path: str) -> dict: """Read a JacobianLens .pt: {"J": {layer: [d,d] fp16}, "n_prompts", "source_layers", "d_model"} (+ optional "provenance"). Layers are the block indices whose OUTPUT residual the matrix transports; transport = h @ J.T.""" import torch ck = torch.load(path, map_location="cpu", weights_only=True) if not isinstance(ck, dict) or "J" not in ck: raise ValueError(f"{path}: not a JacobianLens file (keys {sorted(ck) if isinstance(ck, dict) else type(ck)})") J = {int(l): t for l, t in ck["J"].items()} layers = sorted(J) d = int(ck.get("d_model") or J[layers[0]].shape[0]) for l, t in J.items(): if tuple(t.shape) != (d, d): raise ValueError(f"{path}: J[{l}] shape {tuple(t.shape)} != ({d},{d})") declared = ck.get("source_layers") if declared is not None and sorted(int(x) for x in declared) != layers: log(f"WARNING: {path}: source_layers {declared} != J keys {layers}; using J keys") return dict(path=path, J=J, source_layers=layers, n_prompts=int(ck.get("n_prompts") or 0), d_model=d, keys=sorted(ck), dtype_on_disk=str(J[layers[0]].dtype), provenance=ck.get("provenance")) def load_text_model(path: str, dtype): """AutoModelForCausalLM resolves the text part of this Qwen3_5ForConditionalGeneration checkpoint; if a newer transformers refuses, load the wrapper class -- jlens.from_hf finds the decoder at model.language_model either way.""" from transformers import AutoModelForCausalLM try: hf = AutoModelForCausalLM.from_pretrained(path, dtype=dtype, device_map="cuda") except Exception as e: log(f"AutoModelForCausalLM failed ({type(e).__name__}: {str(e)[:200]}); loading Qwen3_5ForConditionalGeneration") from transformers import Qwen3_5ForConditionalGeneration hf = Qwen3_5ForConditionalGeneration.from_pretrained(path, dtype=dtype, device_map="cuda") hf.eval() return hf def verify_capture(lm, tok) -> dict: """output_hidden_states must give n_layers+1 = 65 entries (embeddings + 64 blocks) and hidden_states[l+1] must equal the hooked output of block l (the capture point used here). The final entry is post-final-norm in transformers 5.x and is expected to DIFFER from the hooked final-block output -- which is why hooks are used.""" import torch from jlens.hooks import ActivationRecorder ids = torch.tensor([tok("The quick brown fox jumps over the lazy dog.", add_special_tokens=False)["input_ids"]], device=lm.input_device) with torch.no_grad(), ActivationRecorder(lm.layers, at=list(range(lm.n_layers))) as rec: out = lm._text_module(input_ids=ids, use_cache=False, output_hidden_states=True) hs = out.hidden_states assert len(hs) == lm.n_layers + 1, f"expected {lm.n_layers + 1} hidden_states, got {len(hs)}" mism = [l for l in (0, lm.n_layers // 2, lm.n_layers - 2) if not torch.equal(hs[l + 1], rec.activations[l])] final_equal = bool(torch.equal(hs[-1], rec.activations[lm.n_layers - 1])) log(f"capture check: {len(hs)} hidden_states; hidden_states[l+1]==block-l output {'OK' if not mism else 'MISMATCH at ' + str(mism)}; " f"final entry {'EQUALS' if final_equal else 'differs from'} hooked block-{lm.n_layers - 1} output (post-norm: differs expected)") if mism: log("WARNING: hidden_states indexing differs from the hook capture; the pipeline uses the hooks (upstream convention) regardless") return dict(n_hidden_states=len(hs), hidden_states_lplus1_equals_block_l_output=(not mism), mismatched_layers=mism, final_entry_equals_hooked_final_block=final_equal) # --------------------------------------------------------------------------- text metrics (Addendum 2) _WORD2INT = {"zero":0,"one":1,"two":2,"three":3,"four":4,"five":5,"six":6,"seven":7,"eight":8,"nine":9,"ten":10,"eleven":11,"twelve":12, "thirteen":13,"fourteen":14,"fifteen":15,"sixteen":16,"seventeen":17,"eighteen":18,"nineteen":19,"twenty":20,"thirty":30, "forty":40,"fifty":50,"sixty":60,"seventy":70,"eighty":80,"ninety":90} def to_int(x: str): """Digit string or English number word ('fourteen', 'twenty-one', 'twenty one') -> int; None if neither.""" x = x.strip().lower().replace("-", " ") if re.fullmatch(r"-?\d+", x): return int(x) parts = x.split() if parts and all(w in _WORD2INT for w in parts): v = 0 for w in parts: v += _WORD2INT[w] return v return None _WORDNUM_RE = re.compile(r"\b(?:zero|one|two|three|four|five|six|seven|eight|nine|ten|eleven|twelve|thirteen|fourteen|fifteen|sixteen|" r"seventeen|eighteen|nineteen|twenty|thirty|forty|fifty|sixty|seventy|eighty|ninety)(?:[- ](?:one|two|three|four|five|six|seven|eight|nine))?\b", re.I) def _number_matches(text: str): """(position, int) for every standalone integer OR English number word in text, in order of appearance.""" found = [(m.start(), int(m.group(1))) for m in NUM_RE.finditer(text)] found += [(m.start(), to_int(m.group(0))) for m in _WORDNUM_RE.finditer(text)] return sorted((pos, v) for pos, v in found if v is not None) def numbers_in(text: str) -> list[int]: return [v for _, v in _number_matches(text)] def first_number(text: str): ms = _number_matches(text) return ms[0][1] if ms else None def leaks(text: str, intermediate: int, target: int) -> bool: nums = numbers_in(text) prefix = nums[: nums.index(target)] if target in nums else nums return intermediate in prefix # --------------------------------------------------------------------------- main def main(): ap = argparse.ArgumentParser(description=__doc__, formatter_class=argparse.RawDescriptionHelpFormatter) ap.add_argument("--items-dir", default=DEFAULT_ITEMS_DIR, help="dir holding order_ops.json, items_new50.json, synonyms.py") ap.add_argument("--reference-evidence", default="evidence", help="optional API reads for token-ID comparison") ap.add_argument("--model", default=DEFAULT_MODEL) ap.add_argument("--tokenizer", default=None, help="default: --model (dry-run: Qwen/Qwen3.6-27B from the HF cache)") ap.add_argument("--lens-hosted", default=DEFAULT_LENS_HOSTED) ap.add_argument("--lens-pile5", default=DEFAULT_LENS_PILE5) ap.add_argument("--out", default=DEFAULT_OUT) ap.add_argument("--bos", choices=["none", "endoftext"], default="none", help="none = what Neuronpedia's prependBos did for this BOS-less tokenizer (default); endoftext = sensitivity variant") ap.add_argument("--topk-last", type=int, default=64) ap.add_argument("--topk-all", type=int, default=8) ap.add_argument("--max-new-tokens", type=int, default=6) ap.add_argument("--n-samples", type=int, default=10) ap.add_argument("--sample-max-new", type=int, default=32) ap.add_argument("--temperature", type=float, default=0.8) ap.add_argument("--top-p", type=float, default=0.95) ap.add_argument("--skip-sampling", action="store_true") ap.add_argument("--resume", action="store_true", help="skip prompts whose outputs already exist in --out") ap.add_argument("--variants", default="space,nospace", help="comma list of prompt variants to run (default both)") ap.add_argument("--limit", type=int, default=None, help="only the first N items (smoke test)") ap.add_argument("--hash-shards", action="store_true", help="also sha256 every model shard into the manifest (minutes)") ap.add_argument("--dry-run", action="store_true") args = ap.parse_args() from transformers import AutoTokenizer tok_src = args.tokenizer or (DEFAULT_TOKENIZER if args.dry_run and not os.path.isdir(args.model) else args.model) tok = AutoTokenizer.from_pretrained(tok_src) assert tok.bos_token_id is None, "expected bos_token=None (Qwen); the BOS policy below assumes it" assert tok.convert_tokens_to_ids("<|endoftext|>") == ENDOFTEXT_ID and tok.convert_tokens_to_ids("<|im_end|>") == IM_END_ID scorer, scorer_sha = load_scorer_defs(os.path.join(args.items_dir, "synonyms.py")) items = load_items(args.items_dir) if args.limit: items = items[: args.limit] log(f"tokenizer {tok_src} (len {len(tok)}); scorer sha256 {scorer_sha[:16]}…; {len(items)} items; bos={args.bos}") t0 = time.time() norm_index = build_norm_index(tok) log(f"vocab normalisation index built over {len(tok)} ids in {time.time()-t0:.1f}s") digit_ids = {str(d): synonym_ids(tok, {str(d)}, norm_index) for d in range(10)} bos_prefix = [ENDOFTEXT_ID] if args.bos == "endoftext" else [] # ---- prompt id lists + cross-checks (dry-run prints these; the real run stores them) prepared, mismatches, form_misses, n_no_ids = [], [], [], 0 for it in items: keys = build_keys(tok, scorer, it, norm_index) if not keys["intermediate"]["ids"]: n_no_ids += 1 if it["single_token_forms"]: have = {e["str"] for e in keys["intermediate"]["ids"]} miss = [f for f in it["single_token_forms"] if f not in have] if miss: form_misses.append((it["name"], miss)) for variant, prompt in (("space", it["prompt"]), ("nospace", it["prompt_nospace"])): raw_ids = tok(prompt, add_special_tokens=False)["input_ids"] ref = os.path.join(args.reference_evidence, "v2_api", "raw_A", f"{it['set']}_{it['name']}_{variant}.json") if os.path.exists(ref): sent = json.load(open(ref)).get("_item", {}).get("input_ids") if sent is not None and sent != raw_ids: mismatches.append((it["name"], variant, sent, raw_ids)) prepared.append(dict(item=it, variant=variant, prompt=prompt, raw_ids=raw_ids, ids=bos_prefix + raw_ids, keys=keys)) log(f"prepared {len(prepared)} prompts; ids differ from v2_api/raw_A in {len(mismatches)} cases; " f"intermediates with NO single-token id: {n_no_ids}; new50 single_token_forms not covered: {len(form_misses)}") for m in mismatches[:10]: log(" MISMATCH", m) for m in form_misses[:10]: log(" FORM MISS", m) if args.dry_run: fmt = lambda ids: " ".join(f"{e['id']}:{e['str']!r}:{'/'.join(e['rules'])}" for e in ids) for p in prepared: it, k = p["item"], p["keys"] print(f"{it['set']}/{it['name']} [{p['variant']}] prompt={p['prompt']!r}") print(f" ids={p['ids']} toks={[tok.decode([i]) for i in p['ids']]}") print(f" intermediate {k['intermediate']['key']!r}: {fmt(k['intermediate']['ids'])}") if p["variant"] == "space": print(f" target {k['target']['key']!r}: {fmt(k['target']['ids'])}") print(f" decoy {k.get('decoy', {}).get('key')!r} ({it['decoy_source']}): {fmt(k['decoy']['ids']) if 'decoy' in k else '-'}") print(f" operation {k['operation']['key']!r}: {fmt(k['operation']['ids'])}") print(f" uninvolved digits {it['uninvolved_digits']}") n_decoy = sum(1 for it in items if it["decoy"]) n_decoy_paper = sum(1 for it in items if it["decoy"] and it["set"] == "paper") print(f"\nDRY RUN SUMMARY: {len(items)} items / {len(prepared)} prompts; bos={args.bos}; " f"decoys available {n_decoy} (paper derived {n_decoy_paper}, new from file {n_decoy - n_decoy_paper}); " f"intermediates with no single-token id {n_no_ids}; id mismatches vs API {len(mismatches)}; form misses {len(form_misses)}; " f"digit token ids: " + "; ".join(f"{d}->{[e['id'] for e in v]}" for d, v in digit_ids.items())) return # ------------------------------------------------------------------ model + lenses import torch from jlens.hf import from_hf from jlens.hooks import ActivationRecorder os.makedirs(args.out, exist_ok=True) log(f"loading {args.model} bf16 on cuda …") hf = load_text_model(args.model, torch.bfloat16) lm = from_hf(hf, tok) n_layers, dev = lm.n_layers, lm.input_device log(f"{lm}; GPU {torch.cuda.memory_allocated()/2**30:.1f} GiB") capture_check = verify_capture(lm, tok) lenses = {} for name, path in (("hosted_n1000", args.lens_hosted), ("pile5", args.lens_pile5)): if not os.path.exists(path): log(f"WARNING: lens {name} missing at {path}; skipping it") continue L = load_lens(path) if L["d_model"] != lm.d_model: sys.exit(f"lens {name}: d_model {L['d_model']} != model {lm.d_model}") J = {l: t.to(dev).float() for l, t in L["J"].items()} # fp32 on GPU (~6.6 GB per lens); transport = h @ J.T del L["J"] lenses[name] = dict(L, sha256=sha256_file(path), bytes=os.path.getsize(path), J=J) log(f"lens {name}: layers {L['source_layers'][0]}..{L['source_layers'][-1]} ({len(L['source_layers'])}), n_prompts {L['n_prompts']}, " f"disk dtype {L['dtype_on_disk']}, keys {L['keys']}; GPU {torch.cuda.memory_allocated()/2**30:.1f} GiB") if not lenses: sys.exit("no lens loaded") for name in lenses: os.makedirs(os.path.join(args.out, name), exist_ok=True) os.makedirs(os.path.join(args.out, "continuations"), exist_ok=True) decode_cache: dict[int, str] = {} def dec(i: int) -> str: if i not in decode_cache: decode_cache[i] = tok.decode([i]) return decode_cache[i] @torch.no_grad() def residuals(ids: torch.Tensor, at): with ActivationRecorder(lm.layers, at=list(at)) as rec: lm.forward(ids) return {l: rec.activations[l].detach() for l in at} # [B, seq, d] bf16 @torch.no_grad() def next_logits(ids: torch.Tensor) -> torch.Tensor: h = residuals(ids, [n_layers - 1])[n_layers - 1][:, -1, :] return lm.unembed(h).float() def top_p_filter(probs: torch.Tensor, top_p: float) -> torch.Tensor: sp, si = probs.sort(-1, descending=True) remove = (sp.cumsum(-1) - sp) >= top_p # prior mass already >= top_p -> drop (HF TopPLogitsWarper semantics) sp = sp.masked_fill(remove, 0.0) out = torch.zeros_like(probs).scatter_(-1, si, sp) return out / out.sum(-1, keepdim=True) @torch.no_grad() def generate(prompt_ids: list[int], n_new: int, seeds=None): """Greedy (seeds None) or per-row-seeded sampling, batched, full re-forward each step (prompts are <= ~30 tokens, so a cached step and a full forward cost the same: both read the 54 GB of weights).""" B = 1 if seeds is None else len(seeds) cur = torch.tensor([prompt_ids] * B, dtype=torch.long, device=dev) gens = None if seeds is None else [torch.Generator(device=dev).manual_seed(int(s)) for s in seeds] out = [[] for _ in range(B)] done = [False] * B for _ in range(n_new): logits = next_logits(cur) if gens is None: nxt = logits.argmax(-1) else: probs = top_p_filter(torch.softmax(logits / args.temperature, -1), args.top_p) nxt = torch.stack([torch.multinomial(probs[b], 1, generator=gens[b])[0] for b in range(B)]) for b in range(B): if not done[b]: t = int(nxt[b]); out[b].append(t) if t in EOG_IDS: done[b] = True if all(done): break cur = torch.cat([cur, nxt[:, None]], 1) res = [] for b in range(B): ids = out[b] stop = dec(ids[-1]) if ids and ids[-1] in EOG_IDS else None text_ids = ids[:-1] if stop else ids res.append(dict(ids=ids, text=tok.decode(text_ids, skip_special_tokens=False), stopped_at=stop)) return res lens_layers = {name: sorted(L["J"]) for name, L in lenses.items()} layer_list = list(range(n_layers)) started = ts() manifest = dict(kind="orderops_v2_box_manifest", started_utc=started, model=args.model, model_config_sha256=sha256_file(os.path.join(args.model, "config.json")) if os.path.isfile(os.path.join(args.model, "config.json")) else None, model_index_sha256=sha256_file(os.path.join(args.model, "model.safetensors.index.json")) if os.path.exists(os.path.join(args.model, "model.safetensors.index.json")) else None, model_hub_revision=(sorted(os.listdir(os.path.join(os.environ.get("HF_HOME", "/workspace/.hf_home"), "hub", "models--Qwen--Qwen3.6-27B", "snapshots")))[:1] or [None])[0] if os.path.isdir(os.path.join(os.environ.get("HF_HOME", "/workspace/.hf_home"), "hub", "models--Qwen--Qwen3.6-27B", "snapshots")) else None, model_shards={os.path.basename(p): os.path.getsize(p) for p in sorted(glob.glob(os.path.join(args.model, "*.safetensors")))}, model_shard_sha256={os.path.basename(p): sha256_file(p) for p in sorted(glob.glob(os.path.join(args.model, "*.safetensors")))} if args.hash_shards else None, lenses={n: {k: v for k, v in L.items() if k != "J"} for n, L in lenses.items()}, torch=torch.__version__, cuda=torch.version.cuda, gpu=torch.cuda.get_device_name(0), transformers=__import__("transformers").__version__, n_layers=n_layers, d_model=lm.d_model, capture_check=capture_check, readout="lm_head(final_norm(h @ J[l].T)) for l in layers_with_jacobian; lm_head(final_norm(h)) otherwise", logit_vocab_size=int(lm.unembed(torch.zeros(1, lm.d_model, device=dev)).shape[-1]), n_real_tokens=len(tok), bos_policy=args.bos, bos_prefix=bos_prefix, scorer_sha256=scorer_sha, items=len(items), prompts=len(prepared), args={k: v for k, v in vars(args).items()}, rank_convention="1-based: 1 + #logits strictly greater, over the full lm_head width", layers_with_jacobian=lens_layers, identity_layers={n: [l for l in layer_list if l not in lens_layers[n]] for n in lenses}, sampling=dict(n=args.n_samples, temperature=args.temperature, top_p=args.top_p, max_new=args.sample_max_new, seeds=list(range(args.n_samples)), note="one CUDA torch.Generator per row seeded 0..n-1; rows decoded as one batch, full re-forward per step"), id_mismatches_vs_api=[m[:2] for m in mismatches], form_misses=form_misses) json.dump(manifest, open(os.path.join(args.out, "manifest.json"), "w"), indent=1) # ------------------------------------------------------------------ main loop wanted = set(v.strip() for v in args.variants.split(",")) for pi, p in enumerate(prepared): it, variant, ids = p["item"], p["variant"], p["ids"] tag = f"{it['set']}_{it['name']}_{variant}" if variant not in wanted: continue if args.resume and all(os.path.exists(os.path.join(args.out, n, f"{tag}.json")) for n in list(lenses) + ["continuations"]): log(f"[{pi+1}/{len(prepared)}] {tag:40s} skip (resume: outputs exist)") continue t0 = time.time() x = torch.tensor([ids], dtype=torch.long, device=dev) acts = residuals(x, layer_list) # ONE forward pass; both lenses read it seq = len(ids) last = seq - 1 h_all = torch.stack([acts[l][0] for l in layer_list]).float() # [L, seq, d] resid_norm = h_all[:, last, :].norm(dim=-1).tolist() # continuations (lens-independent): greedy + Addendum 2 samples, on the raw prompt ids greedy = generate(ids, args.max_new_tokens)[0] samples = [] if args.skip_sampling else generate(ids, args.sample_max_new, seeds=list(range(args.n_samples))) for s_i, s in enumerate(samples): s["seed"] = s_i tgt, inter = to_int(str(it["target"])), to_int(str(it["num"])) greedy["first_number"] = first_number(greedy["text"]); greedy["correct"] = greedy["first_number"] == tgt for s in samples: s["first_number"] = first_number(s["text"]); s["asserts_target"] = s["first_number"] == tgt; s["leaks"] = leaks(s["text"], inter, tgt) greedy["leaks"] = leaks(greedy["text"], inter, tgt) assert_rate = (sum(s["asserts_target"] for s in samples) / len(samples)) if samples else None leak_any = bool(greedy["leaks"] or any(s["leaks"] for s in samples)) cont = dict(set=it["set"], name=it["name"], variant=variant, prompt=p["prompt"], target=it["target"], intermediate=it["num"], greedy=greedy, samples=samples, assert_rate=assert_rate, leak_any=leak_any, greedy_writes_intermediate_first=(greedy["first_number"] == inter), admissible=(assert_rate is not None and assert_rate >= 0.8 and not leak_any)) json.dump(cont, open(os.path.join(args.out, "continuations", f"{tag}.json"), "w"), ensure_ascii=False, indent=1) for lname, L in lenses.items(): J = L["J"] tokens_out = [] per_pos_top = [[None] * n_layers for _ in range(seq)] rank_exact = dict(position=last, keys={}, digits={}, uninvolved_digits=it["uninvolved_digits"], n_pad_in_top64_by_layer=[], resid_norm_by_layer=resid_norm, lens_applied_by_layer=[]) key_ids = {role: [e["id"] for e in v["ids"]] for role, v in p["keys"].items() if isinstance(v, dict)} digit_id_lists = {d: [e["id"] for e in v] for d, v in digit_ids.items()} key_ranks = {role: [[] for _ in ids_] for role, ids_ in key_ids.items()} digit_ranks = {d: [[] for _ in ids_] for d, ids_ in digit_id_lists.items()} with torch.no_grad(): for l in layer_list: h = h_all[l] # [seq, d] fp32 applied = l in J if applied: h = h @ J[l].T logits = lm.unembed(h).float() # [seq, V] probs = torch.softmax(logits, -1) tk = probs.topk(args.topk_all, -1) for pos in range(seq): per_pos_top[pos][l] = (tk.indices[pos].tolist(), tk.values[pos].tolist()) tk64 = probs[last].topk(args.topk_last) per_pos_top[last][l] = (tk64.indices.tolist(), tk64.values.tolist()) rank_exact["n_pad_in_top64_by_layer"].append(int((tk64.indices >= len(tok)).sum())) rank_exact["lens_applied_by_layer"].append(applied) row = logits[last] for role, ids_ in key_ids.items(): if ids_: sc = row[torch.tensor(ids_, device=dev)] r = 1 + (row[None, :] > sc[:, None]).sum(1) for j, rv in enumerate(r.tolist()): key_ranks[role][j].append(rv) for d, ids_ in digit_id_lists.items(): sc = row[torch.tensor(ids_, device=dev)] r = 1 + (row[None, :] > sc[:, None]).sum(1) for j, rv in enumerate(r.tolist()): digit_ranks[d][j].append(rv) for pos in range(seq): tt = [[dec(i) for i in per_pos_top[pos][l][0]] for l in layer_list] tp = [per_pos_top[pos][l][1] for l in layer_list] ti = [per_pos_top[pos][l][0] for l in layer_list] tokens_out.append(dict(kind="token", position=pos, token=dec(ids[pos]), id=ids[pos], is_generated=False, results=[dict(type="JACOBIAN_LENS", top_tokens=tt, top_probs=tp, top_ids=ti)])) for role, v in p["keys"].items(): if not isinstance(v, dict): continue entries = [dict(e, ranks=key_ranks[role][j]) for j, e in enumerate(v["ids"])] min_by_layer = [min(e["ranks"][l] for e in entries) for l in layer_list] if entries else None rank_exact["keys"][role] = dict(key=v["key"], synonyms=v["synonyms"], ids=entries, min_rank_by_layer=min_by_layer, best_rank=min(min_by_layer) if min_by_layer else None, best_layer=min_by_layer.index(min(min_by_layer)) if min_by_layer else None) rank_exact["keys"]["intermediate_nocjk_synonyms"] = p["keys"]["intermediate_nocjk_synonyms"] for d, v in digit_ids.items(): entries = [dict(e, ranks=digit_ranks[d][j]) for j, e in enumerate(v)] rank_exact["digits"][d] = dict(ids=entries, min_rank_by_layer=[min(e["ranks"][l] for e in entries) for l in layer_list]) doc = dict( meta=dict(kind="meta", model=args.model, lens=lname, lens_path=L["path"], lens_sha256=L["sha256"], types=["JACOBIAN_LENS"], layers_by_type={"JACOBIAN_LENS": layer_list}, layers_with_jacobian=lens_layers[lname], top_n=args.topk_all, top_n_last=args.topk_last, prompt_len=seq, num_completion_tokens=0, temperature=0, prepend_bos=False, bos_policy=args.bos, bos_prefix=bos_prefix, reuse_len=0), _item=dict(set=it["set"], name=it["name"], variant=variant, prompt=p["prompt"], target=it["target"], intermediates=it["intermediates"], decoy=it["decoy"], decoy_source=it["decoy_source"], two_digit=it["two_digit"], input_ids=p["raw_ids"], model_input_ids=ids), tokens=tokens_out, rank_exact=rank_exact, continuations=cont, done=dict(kind="done", seq_len=seq, prompt_len=seq, vocab_size=manifest["logit_vocab_size"], completion=greedy["text"])) json.dump(doc, open(os.path.join(args.out, lname, f"{tag}.json"), "w"), ensure_ascii=False) ir = {n: rank_exact_best(os.path.join(args.out, n, f"{tag}.json")) for n in lenses} log(f"[{pi+1}/{len(prepared)}] {tag:40s} {time.time()-t0:5.1f}s greedy={greedy['text']!r:>12} correct={greedy['correct']} " f"assert={assert_rate} leak={leak_any} adm={cont['admissible']} best_rank(intermediate)={ir}") manifest["finished_utc"] = ts() json.dump(manifest, open(os.path.join(args.out, "manifest.json"), "w"), indent=1) log(f"DONE {len(prepared)} prompts x {len(lenses)} lenses -> {args.out}") def rank_exact_best(path): try: k = json.load(open(path))["rank_exact"]["keys"]["intermediate"] return (k["best_rank"], k["best_layer"]) except Exception: return None if __name__ == "__main__": main()