| """ |
| StepProbe: Step Alignment |
| |
| Aligns the step sequences from a full-precision model and a quantized model |
| for the same problem, enabling step-by-step comparison even when the two |
| traces have different numbers of steps or different boundaries. |
| |
| Methods: |
| 1. DTW (Dynamic Time Warping) on step embeddings |
| 2. Longest Common Subsequence on step text |
| 3. Index-based (simple 1:1 matching by position) |
| """ |
|
|
| import difflib |
| from dataclasses import dataclass |
| from typing import List, Tuple, Optional |
|
|
| import numpy as np |
|
|
|
|
| @dataclass |
| class StepAlignment: |
| """A single aligned pair of steps.""" |
| ref_index: Optional[int] |
| hyp_index: Optional[int] |
| ref_text: str |
| hyp_text: str |
| similarity: float |
| alignment_type: str |
|
|
|
|
| def text_similarity(a: str, b: str) -> float: |
| """Compute text similarity between two step strings using SequenceMatcher.""" |
| if not a and not b: |
| return 1.0 |
| if not a or not b: |
| return 0.0 |
| return difflib.SequenceMatcher(None, a.lower(), b.lower()).ratio() |
|
|
|
|
| def align_by_index(ref_steps: List[dict], hyp_steps: List[dict]) -> List[StepAlignment]: |
| """ |
| Simple index-based alignment: pair step i with step i. |
| Good when both traces have similar structure. |
| """ |
| alignments = [] |
| max_len = max(len(ref_steps), len(hyp_steps)) |
|
|
| for i in range(max_len): |
| ref = ref_steps[i] if i < len(ref_steps) else None |
| hyp = hyp_steps[i] if i < len(hyp_steps) else None |
|
|
| ref_text = ref["text"] if ref else "" |
| hyp_text = hyp["text"] if hyp else "" |
|
|
| if ref and hyp: |
| sim = text_similarity(ref_text, hyp_text) |
| atype = "match" if sim > 0.8 else "substitution" |
| elif ref and not hyp: |
| sim = 0.0 |
| atype = "deletion" |
| else: |
| sim = 0.0 |
| atype = "insertion" |
|
|
| alignments.append(StepAlignment( |
| ref_index=ref["index"] if ref else None, |
| hyp_index=hyp["index"] if hyp else None, |
| ref_text=ref_text, |
| hyp_text=hyp_text, |
| similarity=sim, |
| alignment_type=atype, |
| )) |
|
|
| return alignments |
|
|
|
|
| def align_by_dtw(ref_steps: List[dict], hyp_steps: List[dict]) -> List[StepAlignment]: |
| """ |
| Dynamic Time Warping alignment using text similarity as cost. |
| Better for traces with different numbers of steps. |
| """ |
| n = len(ref_steps) |
| m = len(hyp_steps) |
|
|
| if n == 0 and m == 0: |
| return [] |
| if n == 0: |
| return [StepAlignment(None, h["index"], "", h["text"], 0.0, "insertion") for h in hyp_steps] |
| if m == 0: |
| return [StepAlignment(r["index"], None, r["text"], "", 0.0, "deletion") for r in ref_steps] |
|
|
| |
| cost = np.zeros((n + 1, m + 1)) |
| cost[0, :] = np.arange(m + 1) |
| cost[:, 0] = np.arange(n + 1) |
|
|
| sim_matrix = np.zeros((n, m)) |
| for i in range(n): |
| for j in range(m): |
| sim_matrix[i, j] = text_similarity(ref_steps[i]["text"], hyp_steps[j]["text"]) |
|
|
| for i in range(1, n + 1): |
| for j in range(1, m + 1): |
| sub_cost = cost[i - 1, j - 1] + (1.0 - sim_matrix[i - 1, j - 1]) |
| del_cost = cost[i - 1, j] + 1.0 |
| ins_cost = cost[i, j - 1] + 1.0 |
| cost[i, j] = min(sub_cost, del_cost, ins_cost) |
|
|
| |
| alignments = [] |
| i, j = n, m |
| while i > 0 or j > 0: |
| if i > 0 and j > 0: |
| sub_cost = cost[i - 1, j - 1] + (1.0 - sim_matrix[i - 1, j - 1]) |
| del_cost = cost[i - 1, j] + 1.0 |
| ins_cost = cost[i, j - 1] + 1.0 |
| min_cost = min(sub_cost, del_cost, ins_cost) |
|
|
| if min_cost == sub_cost: |
| sim = sim_matrix[i - 1, j - 1] |
| atype = "match" if sim > 0.8 else "substitution" |
| alignments.append(StepAlignment( |
| ref_index=ref_steps[i - 1]["index"], |
| hyp_index=hyp_steps[j - 1]["index"], |
| ref_text=ref_steps[i - 1]["text"], |
| hyp_text=hyp_steps[j - 1]["text"], |
| similarity=sim, |
| alignment_type=atype, |
| )) |
| i -= 1 |
| j -= 1 |
| elif min_cost == del_cost: |
| alignments.append(StepAlignment( |
| ref_index=ref_steps[i - 1]["index"], |
| hyp_index=None, |
| ref_text=ref_steps[i - 1]["text"], |
| hyp_text="", |
| similarity=0.0, |
| alignment_type="deletion", |
| )) |
| i -= 1 |
| else: |
| alignments.append(StepAlignment( |
| ref_index=None, |
| hyp_index=hyp_steps[j - 1]["index"], |
| ref_text="", |
| hyp_text=hyp_steps[j - 1]["text"], |
| similarity=0.0, |
| alignment_type="insertion", |
| )) |
| j -= 1 |
| elif i > 0: |
| alignments.append(StepAlignment( |
| ref_index=ref_steps[i - 1]["index"], |
| hyp_index=None, |
| ref_text=ref_steps[i - 1]["text"], |
| hyp_text="", |
| similarity=0.0, |
| alignment_type="deletion", |
| )) |
| i -= 1 |
| else: |
| alignments.append(StepAlignment( |
| ref_index=None, |
| hyp_index=hyp_steps[j - 1]["index"], |
| ref_text="", |
| hyp_text=hyp_steps[j - 1]["text"], |
| similarity=0.0, |
| alignment_type="insertion", |
| )) |
| j -= 1 |
|
|
| alignments.reverse() |
| return alignments |
|
|
|
|
| def align_steps( |
| ref_steps: List[dict], |
| hyp_steps: List[dict], |
| method: str = "dtw", |
| ) -> List[StepAlignment]: |
| """ |
| Align reference (FP16) and hypothesis (quantized) step sequences. |
| |
| Args: |
| ref_steps: List of step dicts from the full-precision model |
| hyp_steps: List of step dicts from the quantized model |
| method: "dtw" or "index" |
| |
| Returns: |
| List of StepAlignment objects |
| """ |
| if method == "index": |
| return align_by_index(ref_steps, hyp_steps) |
| elif method == "dtw": |
| return align_by_dtw(ref_steps, hyp_steps) |
| else: |
| raise ValueError(f"Unknown alignment method: {method}. Use 'dtw' or 'index'.") |
|
|
|
|
| def alignment_summary(alignments: List[StepAlignment]) -> dict: |
| """Compute summary statistics for an alignment.""" |
| n = len(alignments) |
| if n == 0: |
| return {"n_aligned": 0} |
|
|
| types = [a.alignment_type for a in alignments] |
| sims = [a.similarity for a in alignments if a.alignment_type in ("match", "substitution")] |
|
|
| return { |
| "n_aligned": n, |
| "n_match": types.count("match"), |
| "n_substitution": types.count("substitution"), |
| "n_insertion": types.count("insertion"), |
| "n_deletion": types.count("deletion"), |
| "avg_similarity": float(np.mean(sims)) if sims else 0.0, |
| "min_similarity": float(np.min(sims)) if sims else 0.0, |
| } |
|
|
|
|
| def format_alignment(alignments: List[StepAlignment], max_text_len: int = 60) -> str: |
| """Format an alignment for human-readable display.""" |
| lines = [] |
| lines.append(f"{'Type':<14} {'Ref#':<6} {'Hyp#':<6} {'Sim':<6} {'Ref Text':<{max_text_len}} {'Hyp Text'}") |
| lines.append("-" * (14 + 6 + 6 + 6 + max_text_len * 2 + 5)) |
|
|
| for a in alignments: |
| ref_idx = str(a.ref_index) if a.ref_index is not None else "-" |
| hyp_idx = str(a.hyp_index) if a.hyp_index is not None else "-" |
| ref_t = a.ref_text[:max_text_len].replace("\n", " ") |
| hyp_t = a.hyp_text[:max_text_len].replace("\n", " ") |
| lines.append(f"{a.alignment_type:<14} {ref_idx:<6} {hyp_idx:<6} {a.similarity:<6.2f} {ref_t:<{max_text_len}} {hyp_t}") |
|
|
| return "\n".join(lines) |
|
|