✔ PASS
Search & Retrieval
task_064_Q64_pure_sql_tfidf_calculation
Scaled: 1M+ Records
Ordered: Yes
TF-IDF (Term Frequency - Inverse Document Frequency) in Pure SQL
Candidate Latency (1M Rows)
173.64 ms
(1.1x faster than golden)
Golden Latency (1M Rows)
195.88 ms
DuckDB in-memory engine
Underlying Data Volume
1,000,000 rows
26.7 MiB across 1 table
Evaluated Model
gemini-3.8-flash-low
Gen Latency: 14.3s
✔ Correctness Verified on 1M+ Records
Candidate SQL output matches ground truth golden query across all multiset rows and numeric tolerances (tol=1e-3). Zero data skew or anti-patterns detected on full dataset scale.
1. Analytical Significance & What It Means
Scenario & Frontier TrapBusiness Scenario & Problem
TF-IDF is the foundational algorithm of information retrieval. Calculating it directly in SQL provides deep insight into term uniqueness across a corpus without requiring Python.
⚡ The Frontier Trap (Why LLMs Fail)
Calculating document frequency across millions of documents requires careful window partitioning to avoid Cartesian explosions.
Prompt / User Request Given to Model
TF-IDF is the foundational algorithm of information retrieval. Calculating it directly in SQL provides deep insight into term uniqueness across a corpus without requiring Python. Execute the required analytical SQL calculation in DuckDB. Expected output columns: doc_id, term, term_count, tf, idf, tfidf_score. Results should be ordered as specified.
2. Underlying Tables, Row Counts & Data Volume
1 Tables (1,000,000 rows • 26.7 MiB)Production-scale fixtures loaded into the isolated DuckDB sandbox with at least 1,000,000 records per table:
📊 doc_words
1,000,000 rows
26.7 MiB Data Volume
doc_id (INTEGER) term (VARCHAR) term_count (INTEGER)Data Preview (showing sample rows from 1,000,000 total rows):
| # | doc_id | term | term_count |
|---|---|---|---|
| 1 | 1 | database | 10 |
| 2 | 1 | columnar | 5 |
| 3 | 2 | database | 8 |
| 4 | 2 | relational | 7 |
| 5 | 3 | columnar | 4 |
| 6 | 3 | database | 6 |
| 7 | 4 | columnar | 8 |
| 8 | 5 | relational | 7 |
| 9 | 6 | database | 7 |
| 10 | 7 | columnar | 7 |
| 11 | 8 | relational | 8 |
| 12 | 9 | database | 5 |
| 13 | 10 | columnar | 9 |
| 14 | 11 | relational | 9 |
| 15 | 12 | database | 6 |
3. Graphical Query Execution Plan & Cost Bottlenecks
Physical Operator Tree (DuckDB 2.0 Profiler)Visual flowchart of the physical execution pipeline. Operators with high relative costs (≥ 20% of query runtime or heavy latency) are visually highlighted:
0.5%
Latency: 2.26 ms
Rows In/Out: 333,334
Data Vol: 15.26 MB
📁 Projections: ['#0', '__internal_...
6.3%
Latency: 27.45 ms
Rows In/Out: 333,334
Data Vol: 14.31 MB
1.3%
Latency: 5.54 ms
Rows In/Out: 333,334
Data Vol: 14.31 MB
📁 Projections: ['#0', '__internal_...
6.8%
Latency: 29.65 ms
Rows In/Out: 333,334
Data Vol: 137.33 MB
📁 Projections: ['doc_id', 'term', ...
6.2%
Latency: 27.00 ms
Rows In/Out: 333,334
Data Vol: 134.79 MB
📁 Projections: ['doc_id', 'term', ...
7.9%
Latency: 34.14 ms
Rows In/Out: 333,334
Data Vol: 139.87 MB
4.8%
Latency: 20.71 ms
Rows In/Out: 333,334
Data Vol: 134.79 MB
🔥 27.9% Cost
Latency: 120.98 ms
Rows In/Out: 999,997
Data Vol: 19.07 MB
0.0%
Latency: 0.13 ms
Rows In/Out: 1,000,000
Data Vol: 7.63 MB
📁 Projections: ['doc_id', 'term_co...
0.3%
Latency: 1.29 ms
Rows In/Out: 1,000,000
Data Vol: 7.63 MB
📁 memory.main.doc_words
3.2%
Latency: 13.95 ms
Rows In/Out: 333,334
Data Vol: 7.63 MB
📁 memory.main.doc_words
0.0%
Latency: 0.03 ms
Rows In/Out: 1
Data Vol: 32 B
0.0%
Latency: 0.00 ms
Rows In/Out: 1
Data Vol: 24 B
📁 Projections: ['__internal_decomp...
0.9%
Latency: 3.99 ms
Rows In/Out: 1
Data Vol: 24 B
0.0%
Latency: 0.03 ms
Rows In/Out: 333,334
Data Vol: 5.09 MB
📁 Projections: #0
0.8%
Latency: 3.51 ms
Rows In/Out: 333,334
Data Vol: 5.09 MB
📁 Projections: __internal_compress...
0.5%
Latency: 2.28 ms
Rows In/Out: 333,334
Data Vol: 5.09 MB
📁 Projections: __internal_decompre...
10.8%
Latency: 46.87 ms
Rows In/Out: 333,334
Data Vol: 6.36 MB
0.0%
Latency: 0.08 ms
Rows In/Out: 333,334
Data Vol: 6.36 MB
📁 Projections: ['term', 'doc_id']
0.7%
Latency: 3.25 ms
Rows In/Out: 333,334
Data Vol: 6.36 MB
📁 Projections: ['__internal_compre...
3.7%
Latency: 16.05 ms
Rows In/Out: 333,334
Data Vol: 6.36 MB
📁 memory.main.doc_words
0.0%
Latency: 0.06 ms
Rows In/Out: 1
Data Vol: 8 B
🔥 17.0% Cost
Latency: 74.02 ms
Rows In/Out: 999,997
Data Vol: 3.81 MB
0.0%
Latency: 0.10 ms
Rows In/Out: 1,000,000
Data Vol: 3.81 MB
📁 Projections: doc_id
0.2%
Latency: 0.81 ms
Rows In/Out: 1,000,000
Data Vol: 3.81 MB
📁 memory.main.doc_words
| Operator | Cost % | Latency | Processed Rows | Data Volume | Details / Table | Status |
|---|---|---|---|---|---|---|
| HASH_GROUP_BY | 27.9% | 120.98 ms | 999,997 | 19.07 MB | - | 🔥 BOTTLENECK |
| HASH_GROUP_BY | 17.0% | 74.02 ms | 999,997 | 3.81 MB | - | 🔥 BOTTLENECK |
| HASH_GROUP_BY | 10.8% | 46.87 ms | 333,334 | 6.36 MB | - | Normal |
| HASH_JOIN | 7.9% | 34.14 ms | 333,334 | 139.87 MB | - | Normal |
| PROJECTION | 6.8% | 29.65 ms | 333,334 | 137.33 MB | Projections: ['doc_id', 'term', 'term_count', 't | Normal |
| ORDER_BY | 6.3% | 27.45 ms | 333,334 | 14.31 MB | - | Normal |
| PROJECTION | 6.2% | 27.00 ms | 333,334 | 134.79 MB | Projections: ['doc_id', 'term', 'term_count', '( | Normal |
| HASH_JOIN | 4.8% | 20.71 ms | 333,334 | 134.79 MB | - | Normal |
| TABLE_SCAN | 3.7% | 16.05 ms | 333,334 | 6.36 MB | memory.main.doc_words | Normal |
| TABLE_SCAN | 3.2% | 13.95 ms | 333,334 | 7.63 MB | memory.main.doc_words | Normal |
| PROJECTION | 1.3% | 5.54 ms | 333,334 | 14.31 MB | Projections: ['#0', '__internal_compress_string_ | Normal |
| HASH_GROUP_BY | 0.9% | 3.99 ms | 1 | 0.00 MB | - | Normal |
| PROJECTION | 0.8% | 3.51 ms | 333,334 | 5.09 MB | Projections: __internal_compress_string_uhugeint | Normal |
| PROJECTION | 0.7% | 3.25 ms | 333,334 | 6.36 MB | Projections: ['__internal_compress_string_uhugei | Normal |
| PROJECTION | 0.5% | 2.28 ms | 333,334 | 5.09 MB | Projections: __internal_decompress_string(#0) | Normal |
| PROJECTION | 0.5% | 2.26 ms | 333,334 | 15.26 MB | Projections: ['#0', '__internal_decompress_strin | Normal |
| TABLE_SCAN | 0.3% | 1.29 ms | 1,000,000 | 7.63 MB | memory.main.doc_words | Normal |
| TABLE_SCAN | 0.2% | 0.81 ms | 1,000,000 | 3.81 MB | memory.main.doc_words | Normal |
| PROJECTION | 0.0% | 0.13 ms | 1,000,000 | 7.63 MB | Projections: ['doc_id', 'term_count'] | Normal |
| PROJECTION | 0.0% | 0.10 ms | 1,000,000 | 3.81 MB | Projections: doc_id | Normal |
| PROJECTION | 0.0% | 0.08 ms | 333,334 | 6.36 MB | Projections: ['term', 'doc_id'] | Normal |
| UNGROUPED_AGGREGATE | 0.0% | 0.06 ms | 1 | 0.00 MB | - | Normal |
| CROSS_PRODUCT | 0.0% | 0.03 ms | 1 | 0.00 MB | - | Normal |
| PROJECTION | 0.0% | 0.03 ms | 333,334 | 5.09 MB | Projections: #0 | Normal |
| PROJECTION | 0.0% | 0.00 ms | 1 | 0.00 MB | Projections: ['__internal_decompress_string(#0)' | Normal |
4. Queries Executed (Candidate vs Golden Ground Truth)
Beautified & Syntax HighlightedWITH doc_lengths AS
(SELECT doc_id,
sum(term_count) AS doc_len
FROM doc_words
GROUP BY doc_id),
corpus_stats AS
(SELECT count(DISTINCT doc_id) AS total_docs
FROM doc_words),
term_docs AS
(SELECT term,
count(DISTINCT doc_id) AS docs_with_term
FROM doc_words
GROUP BY term)
SELECT w.doc_id,
w.term,
w.term_count,
round(w.term_count * 1.0 / l.doc_len, 4) AS tf,
round(ln(c.total_docs * 1.0 / td.docs_with_term), 4) AS idf,
round((w.term_count * 1.0 / l.doc_len) * ln(c.total_docs * 1.0 / td.docs_with_term), 4) AS tfidf_score
FROM doc_words w
JOIN doc_lengths l ON w.doc_id = l.doc_id
JOIN term_docs td ON w.term = td.term
CROSS JOIN corpus_stats c
WHERE w.term = 'columnar'
ORDER BY tfidf_score DESC;
-- Calculate TF-IDF for term 'columnar' across 3 documents
-- TF = term_count / total_terms_in_doc, IDF = LN(Total_Docs / Docs_With_Term)
WITH doc_lengths AS
(SELECT doc_id,
sum(term_count) AS doc_len
FROM doc_words
GROUP BY doc_id),
corpus_stats AS
(SELECT count(DISTINCT doc_id) AS total_docs
FROM doc_words),
term_docs AS
(SELECT term,
count(DISTINCT doc_id) AS docs_with_term
FROM doc_words
GROUP BY term)
SELECT w.doc_id,
w.term,
w.term_count,
round(w.term_count * 1.0 / l.doc_len, 4) AS tf,
round(ln(c.total_docs * 1.0 / td.docs_with_term), 4) AS idf,
round((w.term_count * 1.0 / l.doc_len) * ln(c.total_docs * 1.0 / td.docs_with_term), 4) AS tfidf_score
FROM doc_words w
JOIN doc_lengths l ON w.doc_id = l.doc_id
JOIN term_docs td ON w.term = td.term
CROSS JOIN corpus_stats c
WHERE w.term = 'columnar'
ORDER BY tfidf_score DESC;
CREATE TABLE doc_words (doc_id INT, term VARCHAR, term_count INT);
INSERT INTO doc_words
VALUES (1, 'database', 10),
(1, 'columnar', 5),
(2, 'database', 8),
(2, 'relational', 7),
(3, 'columnar', 4);
5. Query Results & Expected Ground Truth
Tabular Comparison
Actual Candidate Output
(333,334 rows × 6 cols)
| # | doc_id | term | term_count | tf | idf | tfidf_score |
|---|---|---|---|---|---|---|
| 1 | 245,782 | columnar | 6 | 1 | 1.0986 | 1.0986 |
| 2 | 245,869 | columnar | 6 | 1 | 1.0986 | 1.0986 |
| 3 | 245,899 | columnar | 6 | 1 | 1.0986 | 1.0986 |
| 4 | 245,914 | columnar | 11 | 1 | 1.0986 | 1.0986 |
| 5 | 245,980 | columnar | 6 | 1 | 1.0986 | 1.0986 |
| 6 | 246,010 | columnar | 10 | 1 | 1.0986 | 1.0986 |
| 7 | 246,163 | columnar | 8 | 1 | 1.0986 | 1.0986 |
| 8 | 246,280 | columnar | 10 | 1 | 1.0986 | 1.0986 |
| 9 | 246,463 | columnar | 7 | 1 | 1.0986 | 1.0986 |
| 10 | 246,490 | columnar | 9 | 1 | 1.0986 | 1.0986 |
| 11 | 246,493 | columnar | 7 | 1 | 1.0986 | 1.0986 |
| 12 | 246,625 | columnar | 4 | 1 | 1.0986 | 1.0986 |
| 13 | 246,652 | columnar | 6 | 1 | 1.0986 | 1.0986 |
| 14 | 246,724 | columnar | 9 | 1 | 1.0986 | 1.0986 |
| 15 | 246,871 | columnar | 9 | 1 | 1.0986 | 1.0986 |
| 16 | 246,928 | columnar | 5 | 1 | 1.0986 | 1.0986 |
| 17 | 247,003 | columnar | 7 | 1 | 1.0986 | 1.0986 |
| 18 | 247,093 | columnar | 8 | 1 | 1.0986 | 1.0986 |
| 19 | 247,312 | columnar | 5 | 1 | 1.0986 | 1.0986 |
| 20 | 247,336 | columnar | 8 | 1 | 1.0986 | 1.0986 |
| 21 | 247,366 | columnar | 6 | 1 | 1.0986 | 1.0986 |
| 22 | 247,408 | columnar | 7 | 1 | 1.0986 | 1.0986 |
| 23 | 247,480 | columnar | 8 | 1 | 1.0986 | 1.0986 |
| 24 | 247,798 | columnar | 8 | 1 | 1.0986 | 1.0986 |
| 25 | 247,828 | columnar | 8 | 1 | 1.0986 | 1.0986 |
Showing first 25 of 333,334 total rows.
Expected Golden Output
(333,334 rows × 6 cols)
| # | doc_id | term | term_count | tf | idf | tfidf_score |
|---|---|---|---|---|---|---|
| 1 | 123,016 | columnar | 5 | 1 | 1.0986 | 1.0986 |
| 2 | 123,031 | columnar | 3 | 1 | 1.0986 | 1.0986 |
| 3 | 123,064 | columnar | 7 | 1 | 1.0986 | 1.0986 |
| 4 | 123,127 | columnar | 2 | 1 | 1.0986 | 1.0986 |
| 5 | 123,136 | columnar | 6 | 1 | 1.0986 | 1.0986 |
| 6 | 123,196 | columnar | 7 | 1 | 1.0986 | 1.0986 |
| 7 | 123,235 | columnar | 6 | 1 | 1.0986 | 1.0986 |
| 8 | 123,379 | columnar | 5 | 1 | 1.0986 | 1.0986 |
| 9 | 123,397 | columnar | 5 | 1 | 1.0986 | 1.0986 |
| 10 | 123,475 | columnar | 8 | 1 | 1.0986 | 1.0986 |
| 11 | 123,478 | columnar | 1 | 1 | 1.0986 | 1.0986 |
| 12 | 123,628 | columnar | 8 | 1 | 1.0986 | 1.0986 |
| 13 | 123,631 | columnar | 7 | 1 | 1.0986 | 1.0986 |
| 14 | 123,907 | columnar | 3 | 1 | 1.0986 | 1.0986 |
| 15 | 123,931 | columnar | 3 | 1 | 1.0986 | 1.0986 |
| 16 | 124,021 | columnar | 11 | 1 | 1.0986 | 1.0986 |
| 17 | 124,045 | columnar | 4 | 1 | 1.0986 | 1.0986 |
| 18 | 124,069 | columnar | 5 | 1 | 1.0986 | 1.0986 |
| 19 | 124,162 | columnar | 8 | 1 | 1.0986 | 1.0986 |
| 20 | 124,174 | columnar | 10 | 1 | 1.0986 | 1.0986 |
| 21 | 124,405 | columnar | 5 | 1 | 1.0986 | 1.0986 |
| 22 | 124,489 | columnar | 9 | 1 | 1.0986 | 1.0986 |
| 23 | 124,606 | columnar | 6 | 1 | 1.0986 | 1.0986 |
| 24 | 124,663 | columnar | 5 | 1 | 1.0986 | 1.0986 |
| 25 | 124,747 | columnar | 6 | 1 | 1.0986 | 1.0986 |
Showing first 25 of 333,334 total rows.