Expression Simplification

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SUMMARY

Expression simplification is a query optimization technique that transforms complex logical and arithmetic expressions into simpler, equivalent forms. This process reduces computational overhead and improves query execution efficiency by eliminating redundant operations and simplifying calculations before execution.

How expression simplification works

Expression simplification operates through a series of transformation rules that modify query expressions while preserving their logical equivalence. Common simplifications include:

  • Constant folding (pre-computing static expressions)
  • Boolean expression reduction
  • Algebraic simplification
  • Redundant predicate elimination

Next generation time-series database

QuestDB is an open-source time-series database optimized for market and heavy industry data. Built from scratch in Java and C++, it offers high-throughput ingestion and fast SQL queries with time-series extensions.

Types of simplifications

Constant folding

Evaluates expressions with constant values at optimization time rather than execution time:

# Before simplification
WHERE column_a > 5 AND column_a > 3
# After simplification
WHERE column_a > 5

Boolean reduction

Simplifies complex boolean logic:

# Before simplification
WHERE (x AND TRUE) OR (y AND FALSE)
# After simplification
WHERE x

Next generation time-series database

QuestDB is an open-source time-series database optimized for market and heavy industry data. Built from scratch in Java and C++, it offers high-throughput ingestion and fast SQL queries with time-series extensions.

Benefits for time-series queries

In time-series databases, expression simplification is particularly valuable when dealing with:

  1. Complex date/time calculations
  2. Range comparisons
  3. Window function expressions
  4. Aggregation chains

For example, a time-series query might be simplified from:

-- ⚠️ ANSI (requires QuestDB adaptation)
SELECT timestamp, value
FROM metrics
WHERE timestamp >= '2024-01-01'
AND timestamp < '2024-01-02'
AND timestamp >= '2024-01-01'

To:

SELECT timestamp, value
FROM metrics
WHERE timestamp >= '2024-01-01'
AND timestamp < '2024-01-02'

Impact on query performance

Expression simplification contributes to query optimization in several ways:

  1. Reduced CPU usage through fewer operations
  2. Improved predicate pushdown opportunities
  3. Enhanced partition pruning effectiveness
  4. Better utilization of indexes

Integration with query optimization

Expression simplification works alongside other optimization techniques:

  1. Cost-based optimizer decisions
  2. Query planner strategies
  3. Query rewrite operations

This integration ensures that simplified expressions contribute to overall query performance improvements while maintaining result accuracy.

Best practices

When working with expression simplification:

  1. Write clear, logical expressions that the optimizer can understand
  2. Avoid unnecessarily complex conditions
  3. Use appropriate data types to enable optimization
  4. Monitor query plans to verify simplification effectiveness

Common challenges

While powerful, expression simplification faces certain limitations:

  1. Complex user-defined functions may resist simplification
  2. Dynamic expressions might not be simplifiable at optimization time
  3. Some domain-specific logic may require preservation of original form

Understanding these constraints helps in writing queries that can benefit from expression simplification while maintaining required functionality.

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