#!/usr/bin/env python3 """ Score Hugging Face causal LMs on Deep Arithmark (and, side by side, ArithMark 3.0). The scoring protocol follows ArithMark 3.0's (AxiomicLabs) so the two numbers are directly comparable. This file is an independent implementation, not copied code; it shares only imports and boilerplate with `bencharithmark-3.py`: * zero-shot continuation log-likelihood -- the model never generates text; * context and continuation tokenized separately, so the continuation cannot be scored through the context's tokenization; * `acc` sums the token log-probabilities, `acc_norm` averages them; * bf16, batch 32, `--max-context 1024`, by default. On top of that it reports the profile the depth tiers are for: * a per-depth curve (2, 3, 4, 5 dependent operations), so a sub-1B model has something to climb instead of a single number pinned at chance; * per-template and per-topic accuracy, so a regression is attributable; * the share of items where `acc` and `acc_norm` disagree (a near-tie signal). Usage ----- python bench_deeparithmark.py --model HuggingFaceTB/SmolLM2-135M python bench_deeparithmark.py --model gpt2 --compare # ArithMark 3.0 too python bench_deeparithmark.py --models-file models.txt --out benchmarks/ """ from __future__ import annotations import argparse import functools import gc import hashlib import inspect import json import math import time from collections import defaultdict from pathlib import Path import torch import torch.nn.functional as F from huggingface_hub import hf_hub_download from transformers import AutoModelForCausalLM, AutoTokenizer # Some 2026 checkpoints ship remote modelling code written against transformers 4.x # (e.g. LiquidAI/LFM3, which decorates its convolution with a hub-kernel helper). # transformers 5 removed that helper, so the import fails before the model can load. # The decorator only swaps in an optional fused CUDA kernel; stubbing it out leaves # the pure-torch path, which is the same maths at the same dtype. def _accepts_layer_idx(fn) -> bool: try: return "layer_idx" in inspect.signature(fn).parameters except (TypeError, ValueError): return True def _install_kernel_decorator_shim() -> None: try: import transformers.integrations as ti if not hasattr(ti, "use_kernel_func_from_hub_with_fallback"): def _noop(*_args, **_kwargs): return lambda fn: fn ti.use_kernel_func_from_hub_with_fallback = _noop import transformers.integrations.accelerate as tia if not hasattr(tia, "force_accelerate_hooks"): def _noop_hooks(*_args, **_kwargs): return lambda fn: fn tia.force_accelerate_hooks = _noop_hooks import transformers.masking_utils as tmu if not hasattr(tmu, "create_recurrent_attention_mask"): # transformers 4.x used this to hand a conv/linear-attention layer the plain # 2-D padding mask (1 = real token). It was deleted in 5.x; the contiguity # logic LFM3 needs on top of it (`seq_idx`) is computed in the model itself. def _recurrent_mask(config=None, inputs_embeds=None, attention_mask=None, past_key_values=None, position_ids=None, layer_idx=None, **_kwargs): if attention_mask is None: return None return attention_mask.to(torch.bool) if attention_mask.dtype != torch.bool else attention_mask tmu.create_recurrent_attention_mask = _recurrent_mask if not _accepts_layer_idx(tmu.create_causal_mask): # 5.5 picks the layer's mask from the hybrid cache itself, so the explicit # `layer_idx` LFM3 passes is redundant rather than meaningful: drop it. def _wrap_drop_layer_idx(fn): @functools.wraps(fn) def wrapper(*args, layer_idx=None, **kwargs): del layer_idx return fn(*args, **kwargs) return wrapper tmu.create_causal_mask = _wrap_drop_layer_idx(tmu.create_causal_mask) tmu.create_sliding_window_causal_mask = _wrap_drop_layer_idx( tmu.create_sliding_window_causal_mask ) except Exception: # an old transformers that has the real helper is fine too pass _install_kernel_decorator_shim() # Our own data is read from disk; this repo is not published under AxiomicLabs. DATA_DEFAULT = "deeparithmark-dataset/data/deeparithmark-1.jsonl" # The one AxiomicLabs reference that must stay: `--compare` downloads the upstream # benchmark from its authors' org, which is where it actually lives. Changing this # to another namespace would break the head-to-head. ARITHMARK3_REPO = "AxiomicLabs/Arithmark-3.0" ARITHMARK3_FILE = "arithmark-3.jsonl" BATCH_SIZE = 32 MAX_CONTEXT = 1024 DEPTHS = (2, 3, 4, 5) # every model here is under 1B parameters, which is the target of this benchmark DEFAULT_MODELS = [ "gpt2", "EleutherAI/pythia-70m", "HuggingFaceTB/SmolLM2-135M", "Qwen/Qwen2.5-0.5B", ] def load_items(path: Path) -> list[dict]: items = [] with path.open(encoding="utf-8-sig") as fh: for line_no, line in enumerate(fh, 1): if not line.strip(): continue item = json.loads(line) label = item["label"] items.append( { "id": str(item.get("ind", line_no)), "ctx": item["ctx"], "endings": item["endings"], "label": int(label), "depth": item.get("metadata", {}).get("depth"), "topic": item.get("metadata", {}).get("topic"), "template": item.get("metadata", {}).get("template_id"), } ) if not items: raise SystemExit(f"no items in {path}") return items def resolve_device(requested: str) -> str: if requested != "auto": return requested return "cuda" if torch.cuda.is_available() else "cpu" def load_model(model_name: str, device: str, dtype_name: str): dtype = {"float32": torch.float32, "float16": torch.float16, "bfloat16": torch.bfloat16}[ dtype_name ] if device == "cpu": dtype = torch.float32 model = AutoModelForCausalLM.from_pretrained( model_name, dtype=dtype, trust_remote_code=True ).to(device) model.eval() tokenizer = AutoTokenizer.from_pretrained(model_name, trust_remote_code=True, use_fast=False) if tokenizer.pad_token_id is None: tokenizer.pad_token = tokenizer.eos_token or 0 return model, tokenizer, dtype @torch.inference_mode() def score_items(model, tokenizer, device, dtype, items, batch_size: int, max_context: int): """Return (items, labels, raw_scores, norm_scores) -- 4 scores per item. Results follow the length-sorted order used for batching, so the returned item list is what the labels and scores line up with. """ prepared = [] for item in items: requests = [] for ending in item["endings"]: ctx_ids = tokenizer(item["ctx"], add_special_tokens=False).input_ids end_ids = tokenizer(ending, add_special_tokens=False).input_ids if not ctx_ids or not end_ids: raise SystemExit(f"empty tokenization in item {item['id']}") ctx_ids = ctx_ids[-(max_context - len(end_ids)) :] requests.append((ctx_ids + end_ids, len(end_ids))) prepared.append((item, requests)) # similar lengths together: less padding, fewer wasted logits prepared.sort(key=lambda pair: max(len(t) for t, _ in pair[1])) labels, raw, norm = [], [], [] for start in range(0, len(prepared), batch_size): batch = prepared[start : start + batch_size] flats, lengths, cont_lens = [], [], [] for _, requests in batch: for tokens, cont_len in requests: flats.append(tokens) lengths.append(len(tokens)) cont_lens.append(cont_len) width = max(lengths) ids = torch.tensor( [t + [tokenizer.pad_token_id] * (width - len(t)) for t in flats], dtype=torch.long, device=device, ) mask = torch.arange(width, device=device)[None, :] < torch.tensor( lengths, device=device )[:, None] starts = torch.tensor( [len(t) - c for t, c in zip(flats, cont_lens)], dtype=torch.long, device=device ) with ( torch.autocast("cuda", dtype=dtype) if device == "cuda" and dtype != torch.float32 else torch.no_grad() ): logits = model(ids, attention_mask=mask, use_cache=False).logits positions = torch.arange(1, width, device=device)[None, :] score_mask = (positions >= starts[:, None]) & ( positions < torch.tensor(lengths, device=device)[:, None] ) row_idx, rel = score_mask.nonzero(as_tuple=True) tok_pos = rel + 1 picked = logits[row_idx, tok_pos - 1, :] targets = ids[row_idx, tok_pos] tok_ll = -F.cross_entropy(picked.float(), targets, reduction="none") raw_t = torch.zeros(len(flats), device=device).scatter_add_(0, row_idx, tok_ll) cnt_t = torch.zeros(len(flats), device=device).scatter_add_( 0, row_idx, torch.ones_like(tok_ll) ) raw_f = raw_t.cpu().tolist() norm_f = (raw_t / cnt_t.clamp_min(1)).cpu().tolist() for i, (item, _) in enumerate(batch): base = 4 * i labels.append(item["label"]) raw.append(raw_f[base : base + 4]) norm.append(norm_f[base : base + 4]) del logits, ids, mask return [item for item, _ in prepared], labels, raw, norm def summarize(items, labels, raw, norm) -> dict: def pick(scores, i): return max(range(4), key=lambda k: scores[i][k]) hit_raw = [int(pick(raw, i) == labels[i]) for i in range(len(items))] hit_norm = [int(pick(norm, i) == labels[i]) for i in range(len(items))] # Soft score: the probability a proper scoring rule assigns to the correct # option after a softmax over the four continuations. Hard accuracy is # all-or-nothing (a model either lands the exact number or not), so it sits # at 25 % for sub-1B models; this keeps the graded signal visible. def soft(row, label): top = max(row) exps = [math.exp(s - top) for s in row] return exps[label] / sum(exps) soft_norm = [soft(norm[i], labels[i]) for i in range(len(items))] soft_by_depth = defaultdict(lambda: [0.0, 0]) for i, item in enumerate(items): if item.get("depth"): soft_by_depth[item["depth"]][0] += soft_norm[i] soft_by_depth[item["depth"]][1] += 1 def pct(correct: int, n: int) -> float: return 100.0 * correct / n if n else 0.0 by_depth = defaultdict(lambda: [0, 0]) by_topic = defaultdict(lambda: [0, 0]) by_template = defaultdict(lambda: [0, 0]) for i, item in enumerate(items): if item.get("depth"): by_depth[item["depth"]][0] += hit_norm[i] by_depth[item["depth"]][1] += 1 by_topic[item.get("topic") or "n/a"][0] += hit_norm[i] by_topic[item.get("topic") or "n/a"][1] += 1 by_template[item.get("template") or "n/a"][0] += hit_norm[i] by_template[item.get("template") or "n/a"][1] += 1 n = len(items) return { "n": n, "acc": pct(sum(hit_raw), n), "acc_norm": pct(sum(hit_norm), n), "soft": 100.0 * sum(soft_norm) / n, "disagreements": sum(1 for a, b in zip(hit_raw, hit_norm) if a != b), "by_depth": { d: { "acc_norm": pct(v[0], v[1]), "soft": 100.0 * soft_by_depth[d][0] / soft_by_depth[d][1], "n": v[1], } for d, v in sorted(by_depth.items()) }, "by_topic": { t: {"acc_norm": pct(v[0], v[1]), "n": v[1]} for t, v in sorted(by_topic.items()) }, "by_template": { t: {"acc_norm": pct(v[0], v[1]), "n": v[1]} for t, v in sorted(by_template.items()) }, } def print_report(name, params, res) -> None: print(f"\n{name} ({params:,} parameters)") print(f" Deep Arithmark score (acc_norm) {res['acc_norm']:6.2f}%") print(f" soft score (P[correct]) {res['soft']:6.2f}%") print(f" raw token-sum accuracy (acc) {res['acc']:6.2f}%") if res["by_depth"]: print(" depth curve (acc_norm / soft):") for depth, vals in res["by_depth"].items(): print( f" depth {depth}: {vals['acc_norm']:6.2f}% / {vals['soft']:6.2f}%" f" (n={vals['n']})" ) print(" by template:") for template, vals in sorted(res["by_template"].items(), key=lambda kv: -kv[1]["acc_norm"]): print(f" {template:34s} {vals['acc_norm']:6.2f}% (n={vals['n']})") def arithmark3_path() -> Path: return Path(hf_hub_download(ARITHMARK3_REPO, ARITHMARK3_FILE, repo_type="dataset")) def run_model(model_name, args, device, deep_items, am3_items): model, tokenizer, dtype = load_model(model_name, device, args.dtype) params = sum(p.numel() for p in model.parameters()) out = {"model": model_name, "params": params, "protocol": { "dtype": str(dtype), "batch_size": args.batch_size, "max_context": args.max_context, "shots": 0, }} t0 = time.perf_counter() ordered, labels, raw, norm = score_items( model, tokenizer, device, dtype, deep_items, args.batch_size, args.max_context ) res = summarize(ordered, labels, raw, norm) out["deeparithmark"] = res print_report(model_name, params, res) if args.dump_predictions: target = Path(args.dump_predictions) target.parent.mkdir(parents=True, exist_ok=True) with target.open("a", encoding="utf-8") as fh: for i, item in enumerate(ordered): fh.write( json.dumps( { "model": model_name, "id": item["id"], "depth": item.get("depth"), "template": item.get("template"), "label": labels[i], "raw_pick": max(range(4), key=lambda k: raw[i][k]), "norm_pick": max(range(4), key=lambda k: norm[i][k]), "raw": raw[i], "norm": norm[i], } ) + "\n" ) if am3_items is not None: ordered, labels, raw, norm = score_items( model, tokenizer, device, dtype, am3_items, args.batch_size, args.max_context ) am3 = summarize(ordered, labels, raw, norm) out["arithmark3"] = am3 print(f" ArithMark 3.0 (acc_norm) {am3['acc_norm']:6.2f}% [same weights, same protocol]") print(f" drop {am3['acc_norm'] - res['acc_norm']:+6.2f} points") out["seconds"] = round(time.perf_counter() - t0, 2) del model, tokenizer gc.collect() if device == "cuda": torch.cuda.empty_cache() return out def main() -> None: ap = argparse.ArgumentParser(description=__doc__, formatter_class=argparse.RawDescriptionHelpFormatter) ap.add_argument("--model", action="append", help="HF model id; repeatable") ap.add_argument("--data", default=DATA_DEFAULT) ap.add_argument("--compare", action="store_true", help="also score ArithMark 3.0") ap.add_argument("--arithmark3", help="local path to arithmark-3.jsonl") ap.add_argument("--batch-size", type=int, default=BATCH_SIZE) ap.add_argument("--max-context", type=int, default=MAX_CONTEXT) ap.add_argument("--dtype", choices=("float32", "float16", "bfloat16"), default="bfloat16") ap.add_argument("--device", choices=("auto", "cpu", "cuda"), default="auto") ap.add_argument("--out", default="benchmarks") ap.add_argument("--no-save", action="store_true") ap.add_argument( "--dump-predictions", help="write per-item scores to this JSONL path for error analysis", ) args = ap.parse_args() torch.set_float32_matmul_precision("high") if torch.cuda.is_available(): torch.backends.cuda.matmul.allow_tf32 = True data_path = Path(args.data) if not data_path.exists(): raise SystemExit(f"missing {data_path}; run `python deeparithmark.py build`") deep_items = load_items(data_path) sha = hashlib.sha256(data_path.read_bytes()).hexdigest() device = resolve_device(args.device) print(f"device: {device} | items: {len(deep_items)} | sha256: {sha[:16]}...") am3_items = None if args.compare or args.arithmark3: am3_file = Path(args.arithmark3) if args.arithmark3 else arithmark3_path() am3_items = load_items(am3_file) print(f"comparing against ArithMark 3.0 ({len(am3_items)} items): {am3_file}") models = args.model or DEFAULT_MODELS results = [] for name in models: try: results.append(run_model(name, args, device, deep_items, am3_items)) except Exception as exc: # a broken hub repo should not kill the sweep print(f"\n{name}: FAILED -- {str(exc).splitlines()[0]}") if results: print("\n" + "=" * 84) print(f"{'model':40s} {'deep':>8s} {'soft':>8s} {'arith3':>8s}") for r in results: am3 = r.get("arithmark3", {}).get("acc_norm") print( f"{r['model']:40s} {r['deeparithmark']['acc_norm']:7.2f}%" f" {r['deeparithmark']['soft']:7.2f}%" + (f" {am3:7.2f}%" if am3 is not None else " -") ) print("=" * 84) if not args.no_save and results: out_dir = Path(args.out) out_dir.mkdir(parents=True, exist_ok=True) payload = { "dataset": {"name": "deeparithmark-1", "path": str(data_path), "sha256": sha, "items": len(deep_items)}, "protocol": { "shots": 0, "dtype": args.dtype, "batch_size": args.batch_size, "max_context": args.max_context, "metric": "acc_norm", }, "results": results, } target = out_dir / f"deeparithmark_{len(results)}models.json" target.write_text(json.dumps(payload, indent=2), encoding="utf-8") print(f"\nresults -> {target}") if __name__ == "__main__": main()