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Evaluation metrics for the RAG pipeline.
Three levels of evaluation:
1. **Retrieval quality** — does the retriever surface the right chunks?
Precision@k, Recall@k, MRR, NDCG@k.
2. **Answer quality** — does RAG actually improve the model's answers?
Exact Match (EM) and Token F1, the standard SQuAD metrics.
3. **RAGAS-style diagnostics** — where in the pipeline do failures occur?
Four dimensions from the RAGAS framework (Retrieval-Augmented
Generation Assessment), implemented with token-overlap F1 instead
of LLM-based scoring for zero-cost, deterministic evaluation:
- *Faithfulness*: Is the answer grounded in the retrieved context?
Mean best-sentence F1 against context chunks.
- *Answer Relevance*: Does the answer address the question asked?
Token F1 between answer and question.
- *Context Precision*: Are the retrieved chunks relevant to the query?
Fraction of chunks that overlap meaningfully with the ground truth.
- *Context Recall*: Does the context cover the ground truth answer?
Token F1 between the combined context and the ground truth.
Together these four metrics localise failures: low context precision
→ retriever returning noise; low context recall → missing relevant
docs; low faithfulness → model hallucinating beyond context; low
answer relevance → model not addressing the question.
EM checks if the predicted answer exactly matches the ground truth
(after normalization). Token F1 treats both answers as bags of words
and computes precision/recall/F1 — a softer metric that gives partial
credit for overlapping tokens.
"""
from __future__ import annotations
import json
import math
import re
import string
from collections import Counter
from dataclasses import dataclass, field
from pathlib import Path
import numpy as np
@dataclass
class QueryLabel:
"""A query with its ground-truth relevant chunk identifiers."""
query: str
relevant: list[str] # substrings that identify relevant chunks
source: str = "" # which document the answer comes from
@dataclass
class RetrievalResult:
"""Per-query evaluation result."""
query: str
precision_at_k: float
recall_at_k: float
reciprocal_rank: float
ndcg_at_k: float
retrieved_texts: list[str] = field(default_factory=list)
relevance_flags: list[bool] = field(default_factory=list)
def _dcg(relevances: list[bool], k: int) -> float:
"""Discounted Cumulative Gain at k."""
score = 0.0
for i in range(min(k, len(relevances))):
if relevances[i]:
score += 1.0 / math.log2(i + 2) # i+2 because rank is 1-indexed
return score
def _ndcg(relevances: list[bool], k: int, num_relevant: int) -> float:
"""Normalized DCG: actual DCG / ideal DCG."""
dcg = _dcg(relevances, k)
# Ideal: all relevant docs at the top
ideal_relevances = [True] * min(num_relevant, k) + [False] * max(0, k - num_relevant)
idcg = _dcg(ideal_relevances, k)
return dcg / idcg if idcg > 0 else 0.0
def evaluate_query(
retrieved: list[tuple[str, float]],
label: QueryLabel,
k: int,
) -> RetrievalResult:
"""Evaluate a single query's retrieval results against ground truth."""
texts = [text for text, _ in retrieved[:k]]
# Mark each retrieved chunk as relevant if it contains any relevant substring
relevance = []
for text in texts:
text_lower = text.lower()
is_relevant = any(r.lower() in text_lower for r in label.relevant)
relevance.append(is_relevant)
# Precision@k
num_relevant_retrieved = sum(relevance)
precision = num_relevant_retrieved / k if k > 0 else 0.0
# Recall@k
total_relevant = len(label.relevant)
# Count how many of the relevant substrings were found in any retrieved chunk
found = set()
for text in texts:
text_lower = text.lower()
for r in label.relevant:
if r.lower() in text_lower:
found.add(r.lower())
recall = len(found) / total_relevant if total_relevant > 0 else 0.0
# MRR: reciprocal rank of first relevant result
rr = 0.0
for i, rel in enumerate(relevance):
if rel:
rr = 1.0 / (i + 1)
break
# NDCG@k
ndcg = _ndcg(relevance, k, total_relevant)
return RetrievalResult(
query=label.query,
precision_at_k=precision,
recall_at_k=recall,
reciprocal_rank=rr,
ndcg_at_k=ndcg,
retrieved_texts=texts,
relevance_flags=relevance,
)
@dataclass
class EvalSummary:
"""Aggregated metrics across all queries."""
num_queries: int
mean_precision_at_k: float
mean_recall_at_k: float
mrr: float
mean_ndcg_at_k: float
hit_rate: float # fraction of queries with >= 1 relevant chunk
per_query: list[RetrievalResult]
def evaluate_retriever(
pipeline,
labels: list[QueryLabel],
k: int = 3,
) -> EvalSummary:
"""Run all labeled queries through the pipeline and compute aggregate metrics."""
results = []
for label in labels:
retrieved = pipeline.retrieve(label.query, top_k=k)
result = evaluate_query(retrieved, label, k)
results.append(result)
n = len(results)
hits = sum(1 for r in results if any(r.relevance_flags)) if n else 0
return EvalSummary(
num_queries=n,
mean_precision_at_k=np.mean([r.precision_at_k for r in results]) if n else 0.0,
mean_recall_at_k=np.mean([r.recall_at_k for r in results]) if n else 0.0,
mrr=np.mean([r.reciprocal_rank for r in results]) if n else 0.0,
mean_ndcg_at_k=np.mean([r.ndcg_at_k for r in results]) if n else 0.0,
hit_rate=hits / n if n else 0.0,
per_query=results,
)
def load_labels(path: str | Path) -> list[QueryLabel]:
"""Load query labels from a JSON file."""
with open(path) as f:
data = json.load(f)
return [QueryLabel(**item) for item in data]
# ---------------------------------------------------------------------------
# Answer Quality Metrics (SQuAD-style)
# ---------------------------------------------------------------------------
def normalize_answer(text: str) -> str:
"""Normalize answer text for comparison: lowercase, strip articles/punctuation/whitespace."""
text = text.lower()
# Remove articles
text = re.sub(r"\b(a|an|the)\b", " ", text)
# Remove punctuation
text = text.translate(str.maketrans("", "", string.punctuation))
# Collapse whitespace
text = " ".join(text.split())
return text
def exact_match(prediction: str, ground_truth: str) -> float:
"""1.0 if normalized prediction == normalized ground truth, else 0.0."""
return 1.0 if normalize_answer(prediction) == normalize_answer(ground_truth) else 0.0
def token_f1(prediction: str, ground_truth: str) -> float:
"""Token-level F1 between predicted and ground-truth answers."""
pred_tokens = normalize_answer(prediction).split()
gold_tokens = normalize_answer(ground_truth).split()
if not gold_tokens:
return 1.0 if not pred_tokens else 0.0
if not pred_tokens:
return 0.0
common = sum((Counter(pred_tokens) & Counter(gold_tokens)).values())
if common == 0:
return 0.0
precision = common / len(pred_tokens)
recall = common / len(gold_tokens)
return 2 * precision * recall / (precision + recall)
# ---------------------------------------------------------------------------
# Structured Numeric Extraction & Matching
# ---------------------------------------------------------------------------
# Regex for numbers with optional sign, commas, decimals, and magnitude suffixes.
_NUMBER_RE = re.compile(
r"[-+]?\$?\s*\d[\d,]*(?:\.\d+)?" # base number (opt. sign, $, commas, decimal)
r"(?:\s*(?:billion|million|thousand|B|M|K))?" # optional magnitude suffix
r"|[-+]?\d+(?:\.\d+)?%", # or a percentage like 12.3%
re.IGNORECASE,
)
_MAGNITUDE_MAP = {
"billion": 1e9, "b": 1e9,
"million": 1e6, "m": 1e6,
"thousand": 1e3, "k": 1e3,
}
def extract_numbers(text: str) -> list[float]:
"""Extract all numeric values from *text*, normalising magnitudes.
Handles currency symbols, commas, magnitude suffixes (billion/million/
thousand/B/M/K), and percentages. Returns a deduplicated list of
floats in the order they appear.
>>> extract_numbers("Revenue was $1.04 billion and costs $283 million")
[1040000000.0, 283000000.0]
>>> extract_numbers("grew 12.3% year-over-year")
[12.3]
"""
results: list[float] = []
for match in _NUMBER_RE.finditer(text):
raw = match.group(0)
# Strip currency symbols and whitespace
raw = re.sub(r"[$€£¥\s]", "", raw)
# Handle percentages — strip % and return the number itself
if raw.endswith("%"):
try:
results.append(float(raw[:-1]))
except ValueError:
pass
continue
# Detect magnitude suffix
multiplier = 1.0
lower = raw.lower()
for suffix, mult in _MAGNITUDE_MAP.items():
if lower.endswith(suffix):
raw = raw[: -len(suffix)]
multiplier = mult
break
# Strip commas
raw = raw.replace(",", "")
try:
results.append(float(raw) * multiplier)
except ValueError:
pass
# Deduplicate while preserving order
seen: set[float] = set()
deduped: list[float] = []
for v in results:
if v not in seen:
seen.add(v)
deduped.append(v)
return deduped
def numeric_match(prediction: str, ground_truth: str, tolerance: float = 0.01) -> float:
"""Score whether the prediction contains the key number(s) from ground_truth.
Extracts numbers from both strings. For each ground-truth number,
checks if any predicted number is within *tolerance* (relative).
Returns the fraction of ground-truth numbers matched.
A tolerance of 0.01 means 1% relative difference is accepted,
handling rounding ($1.038B → $1.04B).
Returns 1.0 if ground_truth contains no numbers (vacuously true).
>>> numeric_match("Revenue was $1.04 billion", "$1,038,765 thousand")
1.0
>>> numeric_match("Revenue was $500 million", "$1,038,765 thousand")
0.0
"""
gt_nums = extract_numbers(ground_truth)
if not gt_nums:
return 1.0
pred_nums = extract_numbers(prediction)
if not pred_nums:
return 0.0
matched = 0
for gt in gt_nums:
for pred in pred_nums:
if gt == 0:
if pred == 0:
matched += 1
break
elif abs(pred - gt) / abs(gt) <= tolerance:
matched += 1
break
return matched / len(gt_nums)
@dataclass
class AnswerResult:
"""Per-question answer quality result."""
question: str
ground_truth: str
prediction: str
em: float
f1: float
used_rag: bool
nm: float = 0.0 # numeric match score
@dataclass
class AnswerQualitySummary:
"""Aggregated answer quality metrics."""
num_questions: int
mean_em: float
mean_f1: float
mean_nm: float
per_question: list[AnswerResult]
def evaluate_answer_quality(results: list[AnswerResult]) -> AnswerQualitySummary:
"""Compute aggregate EM, F1, and numeric match from per-question results."""
n = len(results)
return AnswerQualitySummary(
num_questions=n,
mean_em=np.mean([r.em for r in results]) if n else 0.0,
mean_f1=np.mean([r.f1 for r in results]) if n else 0.0,
mean_nm=np.mean([r.nm for r in results]) if n else 0.0,
per_question=results,
)
# ---------------------------------------------------------------------------
# RAGAS-style Diagnostic Metrics
# ---------------------------------------------------------------------------
#
# These implement the four RAGAS dimensions using token-overlap F1 instead
# of LLM-based scoring. This gives deterministic, zero-cost evaluation
# that can run on every query without a model call.
def _split_sentences(text: str) -> list[str]:
"""Split on sentence-ending punctuation followed by space or EOL."""
parts = re.split(r"(?<=[.!?])\s+", text.strip())
return [s.strip() for s in parts if s.strip()]
def faithfulness(answer: str, context_chunks: list[str]) -> float:
"""Score how faithfully the answer reflects the retrieved context.
Splits the answer into sentences and scores each against all chunks
using token F1. The faithfulness score is the mean of the best F1
each sentence achieves. Sentences under 4 words are skipped (headers,
transitions).
High faithfulness = answer sticks to what the context says.
Low faithfulness = answer contains claims not in the context
(potential hallucination).
Args:
answer: The model's generated answer.
context_chunks: Retrieved chunk texts.
Returns:
Mean best-sentence grounding score in [0.0, 1.0].
"""
if not answer or not context_chunks:
return 0.0
sentences = _split_sentences(answer)
scores: list[float] = []
for sent in sentences:
if len(sent.split()) < 4:
continue
best_f1 = max(
(token_f1(sent, chunk) for chunk in context_chunks),
default=0.0,
)
scores.append(best_f1)
return float(np.mean(scores)) if scores else 0.0
def answer_relevance(answer: str, question: str) -> float:
"""Score how relevant the answer is to the question.
Uses token F1 between the answer and question. A relevant answer
reuses question terms and addresses the topic; an irrelevant answer
discusses something unrelated.
This is a lightweight proxy for the LLM-based RAGAS answer relevance
(which generates synthetic questions from the answer and measures
similarity). Token overlap captures whether the answer stays on-topic.
Args:
answer: The model's generated answer.
question: The user's original question.
Returns:
Token F1 in [0.0, 1.0].
"""
if not answer or not question:
return 0.0
return token_f1(answer, question)
def context_precision(
context_chunks: list[str],
ground_truth: str,
threshold: float = 0.10,
) -> float:
"""Fraction of retrieved chunks that are relevant to the ground truth.
A chunk is considered relevant if its token F1 against the ground
truth exceeds the threshold. High context precision means the
retriever isn't returning noise; low means many retrieved chunks
are irrelevant.
Args:
context_chunks: Retrieved chunk texts.
ground_truth: The expected answer.
threshold: Minimum token F1 to consider a chunk relevant.
Returns:
Precision score in [0.0, 1.0].
"""
if not context_chunks:
return 0.0
relevant = sum(
1 for chunk in context_chunks
if token_f1(chunk, ground_truth) >= threshold
)
return relevant / len(context_chunks)
def context_recall(context_chunks: list[str], ground_truth: str) -> float:
"""Score how well the combined context covers the ground truth.
Concatenates all retrieved chunks and computes token F1 against the
ground truth. High recall means the context contains the information
needed to answer; low recall means relevant information is missing.
Args:
context_chunks: Retrieved chunk texts.
ground_truth: The expected answer.
Returns:
Token F1 in [0.0, 1.0].
"""
if not context_chunks or not ground_truth:
return 0.0
combined = " ".join(context_chunks)
return token_f1(combined, ground_truth)
@dataclass
class RAGASResult:
"""Per-query RAGAS diagnostic scores."""
question: str
faithfulness: float
answer_relevance: float
context_precision: float
context_recall: float
@dataclass
class RAGASSummary:
"""Aggregated RAGAS scores across all queries."""
num_queries: int
mean_faithfulness: float
mean_answer_relevance: float
mean_context_precision: float
mean_context_recall: float
per_query: list[RAGASResult]
def evaluate_ragas(results: list[RAGASResult]) -> RAGASSummary:
"""Compute aggregate RAGAS scores from per-query results."""
n = len(results)
return RAGASSummary(
num_queries=n,
mean_faithfulness=float(np.mean([r.faithfulness for r in results])) if n else 0.0,
mean_answer_relevance=float(np.mean([r.answer_relevance for r in results])) if n else 0.0,
mean_context_precision=float(np.mean([r.context_precision for r in results])) if n else 0.0,
mean_context_recall=float(np.mean([r.context_recall for r in results])) if n else 0.0,
per_query=results,
)
# ---------------------------------------------------------------------------
# Error Taxonomy
# ---------------------------------------------------------------------------
#
# Classifies *why* a question failed, not just *that* it failed.
# Each failed question gets exactly one category — the most upstream
# failure, since fixing that would likely fix downstream symptoms.
class ErrorType:
"""Constants for error taxonomy categories."""
EMPTY_REFUSAL = "empty_refusal"
RETRIEVAL_MISS = "retrieval_miss"
FORMAT_MISMATCH = "format_mismatch"
WRONG_EXTRACTION = "wrong_extraction"
HALLUCINATION = "hallucination"
CORRECT = "correct"
# Patterns that indicate the model refused to answer or produced nothing.
_REFUSAL_PATTERNS = re.compile(
r"not\s+found|not\s+available|i\s+don.?t\s+(?:know|have)|"
r"cannot\s+(?:find|determine)|no\s+(?:information|data|context)",
re.IGNORECASE,
)
def _normalize_numbers(text: str) -> str:
"""Normalise numeric formats for fairer comparison.
Strips currency symbols, commas, and common suffixes so that
"$1,038,765 thousand" and "$1.04 billion" both become cleaner
numeric tokens.
"""
text = text.lower()
# Remove currency symbols
text = re.sub(r"[$€£¥]", "", text)
# Remove commas in numbers: 1,038,765 -> 1038765
text = re.sub(r"(\d),(\d)", r"\1\2", text)
# Expand common magnitude suffixes
text = re.sub(r"(\d+(?:\.\d+)?)\s*billion", lambda m: str(int(float(m.group(1)) * 1_000_000)), text)
text = re.sub(r"(\d+(?:\.\d+)?)\s*million", lambda m: str(int(float(m.group(1)) * 1_000)), text)
text = re.sub(r"(\d+(?:\.\d+)?)\s*thousand", lambda m: str(int(float(m.group(1)))), text)
# Remove "approximately", "about", etc.
text = re.sub(r"\b(?:approximately|about|roughly|around|~)\b", "", text)
return " ".join(text.split())
def classify_error(
prediction: str,
ground_truth: str,
context_chunks: list[str],
f1_score: float,
faithfulness_score: float = 0.0,
success_threshold: float = 0.20,
context_relevance_threshold: float = 0.10,
) -> str:
"""Classify why a RAG answer failed.
Returns one of the ``ErrorType`` constants. The classification
follows a decision tree that identifies the most upstream failure:
1. If F1 >= threshold → CORRECT (not a failure)
2. If prediction is empty or a refusal → EMPTY_REFUSAL
3. If no retrieved chunk is relevant to the ground truth → RETRIEVAL_MISS
4. If number-normalised F1 is much higher → FORMAT_MISMATCH
5. If faithfulness is low (answer not grounded) → HALLUCINATION
6. Otherwise → WRONG_EXTRACTION (context had it, model got wrong fact)
Args:
prediction: The model's answer.
ground_truth: The expected answer.
context_chunks: Retrieved chunk texts (empty list if no RAG).
f1_score: Pre-computed token F1 for this question.
faithfulness_score: Pre-computed faithfulness (from RAGAS).
success_threshold: F1 above this is considered correct.
context_relevance_threshold: Min chunk-vs-ground-truth F1 to
consider a chunk relevant.
Returns:
One of the ``ErrorType`` string constants.
"""
# 1. Already correct
if f1_score >= success_threshold:
return ErrorType.CORRECT
# 2. Empty or refusal
stripped = prediction.strip()
if not stripped or len(stripped) < 5 or _REFUSAL_PATTERNS.search(stripped):
return ErrorType.EMPTY_REFUSAL
# 3. Retrieval miss — no chunk relevant to the ground truth
if context_chunks:
best_chunk_f1 = max(
(token_f1(chunk, ground_truth) for chunk in context_chunks),
default=0.0,
)
if best_chunk_f1 < context_relevance_threshold:
return ErrorType.RETRIEVAL_MISS
else:
return ErrorType.RETRIEVAL_MISS
# 4. Format mismatch — normalise numbers and re-check
norm_f1 = token_f1(
_normalize_numbers(prediction),
_normalize_numbers(ground_truth),
)
if norm_f1 >= success_threshold and norm_f1 - f1_score > 0.05:
return ErrorType.FORMAT_MISMATCH
# 5. Hallucination — answer not grounded in retrieved context
if faithfulness_score < 0.10:
return ErrorType.HALLUCINATION
# 6. Wrong extraction — context had it, model pulled wrong fact
return ErrorType.WRONG_EXTRACTION
def compute_error_distribution(
errors: list[str],
) -> dict[str, int]:
"""Count occurrences of each error type.
Args:
errors: List of ``ErrorType`` constants, one per query.
Returns:
Dict mapping error type to count.
"""
dist: dict[str, int] = {}
for e in errors:
dist[e] = dist.get(e, 0) + 1
return dist
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