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Performance improvements: calc𝒪estimates zero-alloc + cleaner ConvergenceSimulation#174

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Performance improvements: calc𝒪estimates zero-alloc + cleaner ConvergenceSimulation#174
ChrisRackauckas-Claude wants to merge 1 commit into
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ChrisRackauckas-Claude:perf-improvements-20260107-130001

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Summary

This PR improves performance of key functions in DiffEqDevTools.jl and adds allocation regression tests.

Benchmark Results

calc𝒪estimates - Computes convergence order estimates from error ratios

Metric Before After Improvement
Time ~700 ns ~50 ns 14x faster
Allocations 10 0 100% reduction
Memory 768 bytes 0 bytes 100% reduction

Changes

  • calc𝒪estimates (convergence.jl:287-302): Optimized to be zero-allocation by computing the mean of log2 ratios directly in a loop rather than allocating an intermediate Vector. Also uses Float64 accumulator to correctly handle Rational inputs.

  • ConvergenceSimulation constructor (convergence.jl:32): Simplified by removing redundant loop that was extracting scalar values from 1-element arrays. Since calc𝒪estimates now returns scalars directly, this code is no longer needed.

  • analyticless_test_convergence (convergence.jl:123-180): Refactored Brownian motion generation with a new helper function _generate_brownian_values! that:

    • Pre-computes time grid outside the trajectory loop
    • Pre-allocates Brownian motion arrays
    • Computes cumulative sums in-place
    • Avoids comprehension-based allocations in the hot loop
  • Added AllocCheck tests (test/alloc_tests.jl): New test file that verifies calc𝒪estimates remains allocation-free, preventing future performance regressions.

Test plan

  • All existing tests pass
  • New allocation tests pass
  • Benchmark confirms 14x speedup on calc𝒪estimates

cc @ChrisRackauckas

🤖 Generated with Claude Code

…enceSimulation

## Summary
- **calc𝒪estimates**: Optimized to be zero-allocation by computing mean directly
  without allocating intermediate vector. Also uses Float64 accumulator to handle
  Rational inputs correctly.
  - Before: 768 bytes, 10 allocations, ~700 ns
  - After: 0 bytes, 0 allocations, ~50 ns
  - Speedup: ~14x faster

- **ConvergenceSimulation constructor**: Simplified by removing redundant loop
  that extracted scalar values from 1-element arrays (no longer needed since
  calc𝒪estimates now returns scalars directly)

- **analyticless_test_convergence (SDE)**: Refactored Brownian motion generation
  with a helper function `_generate_brownian_values!` that pre-allocates arrays
  and computes cumulative sums in-place, avoiding comprehension-based allocations.

- **Added AllocCheck tests**: New test file `test/alloc_tests.jl` that verifies
  calc𝒪estimates remains allocation-free, preventing future regressions.

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>
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3 participants