✖ VALUE_MISMATCH Graph & Hierarchy task_086_Q86_multiparent_allocation_cost_rollup Scaled: 1M+ Records Ordered: Yes

Multi-Parent Shared Infrastructure Cost Allocation Rollup

Candidate Latency (1M Rows)
0.21 ms
(1.1x slower than golden)
Golden Latency (1M Rows)
0.20 ms
DuckDB in-memory engine
Underlying Data Volume
3 rows
132 B across 2 tables
Evaluated Model
gemini-3.8-flash-low
Gen Latency: 4.1s
⚠️ Failure Analysis (VALUE_MISMATCH)

Reason: Data discrepancy: DataFrame.iloc[:, 1] (column name="child_node") are different

  • Diverged Column: child_node at row index 0
  • Expected: PRODUCT_SEARCH | Actual: PRODUCT_CHECKOUT

1. Analytical Significance & What It Means

Scenario & Frontier Trap
Business Scenario & Problem

Cloud infrastructure (e.g. shared Kubernetes cluster) is co-owned by multiple products with fractional split percentages. Costs must cascade down to consumer business units.

⚡ The Frontier Trap (Why LLMs Fail)

Failing to multiply split percentages down the DAG results in allocated costs exceeding 100% of actual spend.

Prompt / User Request Given to Model
Cloud infrastructure (e.g. shared Kubernetes cluster) is co-owned by multiple products with fractional split percentages. Costs must cascade down to consumer business units.

Execute the required analytical SQL calculation in DuckDB.
Expected output columns: parent_node, child_node, allocation_pct, raw_parent_cost, allocated_cost.
Results should be ordered as specified.

2. Underlying Tables, Row Counts & Data Volume

2 Tables (3 rows • 132 B)

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

📊 cost_allocations 2 rows 96 B Data Volume
parent_node (VARCHAR) child_node (VARCHAR) allocation_pct (DOUBLE)
Data Preview (showing sample rows from 2 total rows):
# parent_node child_node allocation_pct
1 K8S_SHARED PRODUCT_SEARCH 0.6
2 K8S_SHARED PRODUCT_CHECKOUT 0.4
📊 cost_nodes 1 rows 36 B Data Volume
node_id (VARCHAR) monthly_cost (DECIMAL(10,2))
Data Preview (showing sample rows from 1 total rows):
# node_id monthly_cost
1 K8S_SHARED 10,000

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: 0.21 ms) Nodes consuming ≥ 20% of query runtime are highlighted with glowing borders
📐 PROJECTION 0.6%
Latency: 0.00 ms
Rows In/Out: 2
Data Vol: 4,208 B
📁 Projections: ['__internal_decomp...
⏳ ORDER_BY 44.5%
Latency: 0.09 ms
Rows In/Out: 2
Data Vol: 4,208 B
📐 PROJECTION 2.8%
Latency: 0.01 ms
Rows In/Out: 2
Data Vol: 4,208 B
📁 Projections: ['__internal_compre...
📐 PROJECTION 4.3%
Latency: 0.01 ms
Rows In/Out: 2
Data Vol: 4,208 B
📁 Projections: ['parent_node', 'ch...
⚡ HASH_JOIN 38.9%
Latency: 0.08 ms
Rows In/Out: 2
Data Vol: 4,192 B
🔍 TABLE_SCAN 4.7%
Latency: 0.01 ms
Rows In/Out: 2
Data Vol: 80 B
📁 memory.main.cost_allocations
🔍 TABLE_SCAN 4.2%
Latency: 0.01 ms
Rows In/Out: 1
Data Vol: 24 B
📁 memory.main.cost_nodes
Operator Cost % Latency Processed Rows Data Volume Details / Table Status
ORDER_BY 44.5% 0.09 ms 2 0.00 MB - Normal
HASH_JOIN 38.9% 0.08 ms 2 0.00 MB - Normal
TABLE_SCAN 4.7% 0.01 ms 2 0.00 MB memory.main.cost_allocations Normal
PROJECTION 4.3% 0.01 ms 2 0.00 MB Projections: ['parent_node', 'child_node', 'allo Normal
TABLE_SCAN 4.2% 0.01 ms 1 0.00 MB memory.main.cost_nodes Normal
PROJECTION 2.8% 0.01 ms 2 0.00 MB Projections: ['__internal_compress_string_uhugei Normal
PROJECTION 0.6% 0.00 ms 2 0.00 MB Projections: ['__internal_decompress_string(#0)' 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: 0.21 ms)
SELECT ca.parent_node,
       ca.child_node,
       ca.allocation_pct,
       cn.monthly_cost AS raw_parent_cost,
       round(cn.monthly_cost * cast(ca.allocation_pct AS decimal(10, 4)), 2) AS allocated_cost
FROM cost_allocations AS ca
JOIN cost_nodes AS cn ON ca.parent_node = cn.node_id
ORDER BY ca.parent_node,
         ca.child_node;
Golden Reference Ground Truth SQL (Runtime on 1M Rows: 0.20 ms)
-- Allocate parent cost to child business units

SELECT a.parent_node,
       a.child_node,
       a.allocation_pct,
       n.monthly_cost AS raw_parent_cost,
       round(n.monthly_cost * a.allocation_pct, 2) AS allocated_cost
FROM cost_allocations a
JOIN cost_nodes n ON a.parent_node = n.node_id
ORDER BY allocated_cost DESC;
DuckDB Fixture Setup DDL & Data Population
CREATE TABLE cost_nodes (node_id VARCHAR, monthly_cost decimal(10, 2));


CREATE TABLE cost_allocations (parent_node VARCHAR, child_node VARCHAR, allocation_pct DOUBLE);


INSERT INTO cost_nodes
VALUES ('K8S_SHARED', 10000.00);


INSERT INTO cost_allocations
VALUES ('K8S_SHARED', 'PRODUCT_SEARCH', 0.60),
       ('K8S_SHARED', 'PRODUCT_CHECKOUT', 0.40);

5. Query Results & Expected Ground Truth

Tabular Comparison
Actual Candidate Output (2 rows × 5 cols)
# parent_node child_node allocation_pct raw_parent_cost allocated_cost
1 K8S_SHARED PRODUCT_CHECKOUT 0.4 10,000 4,000
2 K8S_SHARED PRODUCT_SEARCH 0.6 10,000 6,000
Expected Golden Output (2 rows × 5 cols)
# parent_node child_node allocation_pct raw_parent_cost allocated_cost
1 K8S_SHARED PRODUCT_SEARCH 0.6 10,000 6,000
2 K8S_SHARED PRODUCT_CHECKOUT 0.4 10,000 4,000
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