✔ PASS SCD Type 2 Point-in-Time Joins task_03_scd2_join Scaled: 1M+ Records Ordered: Yes

Historical SCD Type 2 Point-in-Time Currency Conversion

Candidate Latency (1M Rows)
72.13 ms
(1.0x slower than golden)
Golden Latency (1M Rows)
68.78 ms
DuckDB in-memory engine
Underlying Data Volume
1,000,003 rows
45.8 MiB across 2 tables
Evaluated Model
gemini-3.8-flash-low
Gen Latency: 4.2s
✔ 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 Trap
Business Scenario & Problem

Joins financial transactions to Slowly Changing Dimension (SCD Type 2) exchange rate tables matching effective date ranges, correctly handling open-ended NULL upper bounds.

⚡ The Frontier Trap (Why LLMs Fail)

Frontier models routinely fail SCD Type 2 point-in-time join logic in two ways: (1) omitting the open-ended current record condition `OR valid_to IS NULL`, which causes current active records to be silently dropped during INNER JOINs, and (2) using `<=` instead of `<` on the upper boundary, which causes duplicate rows when a transaction occurs exactly on the boundary timestamp of an SCD revision.

Prompt / User Request Given to Model
Convert each financial transaction in `transactions` to USD using the historically effective rate from `exchange_rates` (SCD Type 2 table).

An exchange rate record is effective for a transaction if:
1. The transaction currency matches the rate currency,
2. The transaction timestamp is greater than or equal to `valid_from`, AND
3. The transaction timestamp is strictly less than `valid_to`, OR `valid_to` is NULL (indicating the current, ongoing rate).

Required output columns:
- txn_id (INT)
- currency (VARCHAR)
- amount (DECIMAL)
- rate_to_usd (DECIMAL)
- amount_usd (DECIMAL): Calculated as ROUND(amount * rate_to_usd, 2)

Sort the results by txn_id ASC.

2. Underlying Tables, Row Counts & Data Volume

2 Tables (1,000,003 rows • 45.8 MiB)

Production-scale fixtures loaded into the isolated DuckDB sandbox with at least 1,000,000 records per table:

📊 exchange_rates 3 rows 168 B Data Volume
rate_id (INTEGER) currency (VARCHAR) rate_to_usd (DECIMAL(10,4)) valid_from (TIMESTAMP) valid_to (TIMESTAMP)
Data Preview (showing sample rows from 3 total rows):
# rate_id currency rate_to_usd valid_from valid_to
1 10 EUR 1.05 2025-01-01 00:00:00 2025-01-15 00:00:00
2 11 EUR 1.08 2025-01-15 00:00:00 NULL
3 12 GBP 1.25 2025-01-01 00:00:00 NULL
📊 transactions 1,000,000 rows 45.8 MiB Data Volume
txn_id (INTEGER) currency (VARCHAR) amount (DECIMAL(10,2)) txn_time (TIMESTAMP)
Data Preview (showing sample rows from 1,000,000 total rows):
# txn_id currency amount txn_time
1 1 EUR 100 2025-01-05 12:00:00
2 2 EUR 200 2025-01-20 15:30:00
3 3 GBP 50 2025-01-10 09:00:00
4 3 USD 55.11 2026-03-01 09:30:00.000006
5 4 EUR 129.46 2026-03-01 09:30:00.000021
6 5 GBP 128.53 2026-03-01 09:30:00.000041
7 6 JPY 176.25 2026-03-01 09:30:00.000066
8 7 CAD 10.24 2026-03-01 09:30:00.000091
9 8 AUD 0.01 2026-03-01 09:30:00.000116
10 9 USD 208.45 2026-03-01 09:30:00.000130
11 10 EUR 78.61 2026-03-01 09:30:00.000144
12 11 GBP 0.01 2026-03-01 09:30:00.000173
13 12 JPY 232.53 2026-03-01 09:30:00.000192
14 13 CAD 124.88 2026-03-01 09:30:00.000201
15 14 AUD 72.53 2026-03-01 09:30:00.000225

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:

Pipeline Latency Distribution (Total Plan Time: 70.44 ms) Nodes consuming ≥ 20% of query runtime are highlighted with glowing borders
📐 PROJECTION 0.5%
Latency: 0.35 ms
Rows In/Out: 333,335
Data Vol: 13.99 MB
📁 Projections: ['#0', '__internal_...
⏳ ORDER_BY 🔥 38.7% Cost
Latency: 27.24 ms
Rows In/Out: 333,335
Data Vol: 10.17 MB
⚠️ Heavy Execution Bottleneck (38.7% of query runtime)
📐 PROJECTION 2.4%
Latency: 1.71 ms
Rows In/Out: 333,335
Data Vol: 10.17 MB
📁 Projections: ['#0', '__internal_...
📐 PROJECTION 4.6%
Latency: 3.21 ms
Rows In/Out: 333,335
Data Vol: 13.99 MB
📁 Projections: ['txn_id', 'currenc...
⚡ HASH_JOIN 🔥 27.8% Cost
Latency: 19.60 ms
Rows In/Out: 333,335
Data Vol: 11.44 MB
⚠️ Heavy Execution Bottleneck (27.8% of query runtime)
🔍 TABLE_SCAN 🔥 26.0% Cost
Latency: 18.30 ms
Rows In/Out: 333,335
Data Vol: 11.44 MB
📁 memory.main.transactions
⚠️ Heavy Execution Bottleneck (26.0% of query runtime)
🔍 TABLE_SCAN 0.0%
Latency: 0.03 ms
Rows In/Out: 3
Data Vol: 376 B
📁 memory.main.exchange_rates
Operator Cost % Latency Processed Rows Data Volume Details / Table Status
ORDER_BY 38.7% 27.24 ms 333,335 10.17 MB - 🔥 BOTTLENECK
HASH_JOIN 27.8% 19.60 ms 333,335 11.44 MB - 🔥 BOTTLENECK
TABLE_SCAN 26.0% 18.30 ms 333,335 11.44 MB memory.main.transactions 🔥 BOTTLENECK
PROJECTION 4.6% 3.21 ms 333,335 13.99 MB Projections: ['txn_id', 'currency', 'amount', 'r Normal
PROJECTION 2.4% 1.71 ms 333,335 10.17 MB Projections: ['#0', '__internal_compress_string_ Normal
PROJECTION 0.5% 0.35 ms 333,335 13.99 MB Projections: ['#0', '__internal_decompress_strin Normal
TABLE_SCAN 0.0% 0.03 ms 3 0.00 MB memory.main.exchange_rates Normal

4. Queries Executed (Candidate vs Golden Ground Truth)

Beautified & Syntax Highlighted
Candidate SQL Executed by gemini-3.8-flash-low (Runtime on 1M Rows: 72.13 ms)
SELECT t.txn_id,
       t.currency,
       t.amount,
       r.rate_to_usd,
       round(t.amount * r.rate_to_usd, 2) AS amount_usd
FROM transactions AS t
JOIN exchange_rates AS r ON t.currency = r.currency
AND t.txn_time >= r.valid_from
AND (t.txn_time < r.valid_to
     OR r.valid_to IS NULL)
ORDER BY t.txn_id ASC;
Golden Reference Ground Truth SQL (Runtime on 1M Rows: 68.78 ms)
SELECT t.txn_id,
       t.currency,
       t.amount,
       r.rate_to_usd,
       round(t.amount * r.rate_to_usd, 2) AS amount_usd
FROM transactions t
JOIN exchange_rates r ON t.currency = r.currency
AND t.txn_time >= r.valid_from
AND (t.txn_time < r.valid_to
     OR r.valid_to IS NULL)
ORDER BY t.txn_id ASC;
DuckDB Fixture Setup DDL & Data Population
CREATE TABLE transactions (txn_id INT, currency VARCHAR, amount decimal(10, 2),
                                                                txn_time TIMESTAMP);


CREATE TABLE exchange_rates (rate_id INT, currency VARCHAR, rate_to_usd decimal(10, 4),
                                                                        valid_from TIMESTAMP, valid_to TIMESTAMP);


INSERT INTO transactions
VALUES (1, 'EUR', 100.00, '2025-01-05 12:00:00'),
       (2, 'EUR', 200.00, '2025-01-20 15:30:00'),
       (3, 'GBP', 50.00, '2025-01-10 09:00:00');

-- SCD2 rates: EUR changed on Jan 15; GBP has no end date (current ongoing rate)

INSERT INTO exchange_rates
VALUES (10, 'EUR', 1.0500, '2025-01-01 00:00:00', '2025-01-15 00:00:00'),
       (11, 'EUR', 1.0800, '2025-01-15 00:00:00', NULL),
       (12, 'GBP', 1.2500, '2025-01-01 00:00:00', NULL);

5. Query Results & Expected Ground Truth

Tabular Comparison
Actual Candidate Output (333,335 rows × 5 cols)
# txn_id currency amount rate_to_usd amount_usd
1 1 EUR 100 1.05 105
2 2 EUR 200 1.08 216
3 3 GBP 50 1.25 62.5
4 4 EUR 129.46 1.08 139.82
5 5 GBP 128.53 1.25 160.66
6 10 EUR 78.61 1.08 84.9
7 11 GBP 0.01 1.25 0.01
8 16 EUR 19.19 1.08 20.73
9 17 GBP 266.2 1.25 332.75
10 22 EUR 96.4 1.08 104.11
11 23 GBP 187.36 1.25 234.2
12 28 EUR 74.92 1.08 80.91
13 29 GBP 266.55 1.25 333.19
14 34 EUR 117.25 1.08 126.63
15 35 GBP 75.64 1.25 94.55
16 40 EUR 0.01 1.08 0.01
17 41 GBP 5.45 1.25 6.81
18 46 EUR 0.01 1.08 0.01
19 47 GBP 233.62 1.25 292.03
20 52 EUR 101.52 1.08 109.64
21 53 GBP 165.94 1.25 207.43
22 58 EUR 77.66 1.08 83.87
23 59 GBP 157.56 1.25 196.95
24 64 EUR 0.01 1.08 0.01
25 65 GBP 116.7 1.25 145.88
Showing first 25 of 333,335 total rows.
Expected Golden Output (333,335 rows × 5 cols)
# txn_id currency amount rate_to_usd amount_usd
1 1 EUR 100 1.05 105
2 2 EUR 200 1.08 216
3 3 GBP 50 1.25 62.5
4 4 EUR 129.46 1.08 139.82
5 5 GBP 128.53 1.25 160.66
6 10 EUR 78.61 1.08 84.9
7 11 GBP 0.01 1.25 0.01
8 16 EUR 19.19 1.08 20.73
9 17 GBP 266.2 1.25 332.75
10 22 EUR 96.4 1.08 104.11
11 23 GBP 187.36 1.25 234.2
12 28 EUR 74.92 1.08 80.91
13 29 GBP 266.55 1.25 333.19
14 34 EUR 117.25 1.08 126.63
15 35 GBP 75.64 1.25 94.55
16 40 EUR 0.01 1.08 0.01
17 41 GBP 5.45 1.25 6.81
18 46 EUR 0.01 1.08 0.01
19 47 GBP 233.62 1.25 292.03
20 52 EUR 101.52 1.08 109.64
21 53 GBP 165.94 1.25 207.43
22 58 EUR 77.66 1.08 83.87
23 59 GBP 157.56 1.25 196.95
24 64 EUR 0.01 1.08 0.01
25 65 GBP 116.7 1.25 145.88
Showing first 25 of 333,335 total rows.
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