tenrso-planner

Production-grade contraction order planning and optimization for tensor networks.

Part of the TenRSo tensor computing stack.

Overview

tenrso-planner implements intelligent planning for tensor network contractions, particularly those expressed in Einstein summation notation. It provides state-of-the-art algorithms for finding efficient execution plans that minimize computational cost and memory usage.

Features

✅ 6 Planning Algorithms

• Greedy heuristic (O(n³))
• Beam search with configurable width
• Dynamic programming (optimal for n ≤ 20)
• Simulated annealing
• Genetic algorithm (evolutionary search)
• Adaptive planner (auto-selects best algorithm)

✅ Cost Modeling

• FLOPs estimation for dense and sparse operations
• Memory usage prediction
• Sparsity-aware cost models

✅ Representation Selection

• Automatic dense/sparse/low-rank format selection
• Conversion cost estimation

✅ Cache-Aware Tiling

• L1/L2/L3 cache optimization
• Multi-level blocking strategies
• Memory budget constraints

✅ Production Ready

• 144 comprehensive tests (136 unit + 8 doc)
• 14 benchmark suites
• 4 detailed examples
• Full rustdoc coverage
• Zero warnings compilation
• SciRS2-Core integration for professional-grade RNG

Installation

[dependencies]
tenrso-planner = "0.1.0-alpha.1"

Optional Features

[dependencies]
tenrso-planner = { version = "0.1.0-alpha.1", features = ["serde"] }

• serde: Enable serialization/deserialization of plans

Quick Start

use tenrso_planner::{greedy_planner, EinsumSpec, PlanHints};

// Parse Einstein summation notation
let spec = EinsumSpec::parse("ij,jk->ik")?;

// Define tensor shapes
let shapes = vec![vec![100, 200], vec![200, 300]];

// Create a plan with default hints
let hints = PlanHints::default();
let plan = greedy_planner(&spec, &shapes, &hints)?;

// Inspect plan details
println!("Estimated FLOPs: {:.2e}", plan.estimated_flops);
println!("Peak memory: {} bytes", plan.estimated_memory);
println!("Contraction steps: {}", plan.nodes.len());

Planning Algorithms

1. Adaptive Planner (⭐ Recommended)

Automatically selects the best algorithm based on problem characteristics:

use tenrso_planner::{AdaptivePlanner, Planner, PlanHints};

let planner = AdaptivePlanner::new();
let hints = PlanHints::default();

let plan = planner.make_plan(
    "ij,jk,kl->il",
    &[vec![10, 20], vec![20, 30], vec![30, 10]],
    &hints
)?;

Algorithm Selection:

• Small networks (n ≤ 5): DP (optimal)
• Medium networks (5 < n ≤ 20): Beam Search or DP
• Large networks (n > 20): Greedy, SA, or GA based on time budget

2. Greedy Planner

Fast heuristic that greedily selects the lowest-cost contraction at each step:

use tenrso_planner::{GreedyPlanner, Planner};

let planner = GreedyPlanner::new();
let plan = planner.make_plan(spec, shapes, hints)?;

When to use: Fast planning required, many tensors (> 10) Complexity: O(n³) time, O(n) space Quality: Good (within 2-5x of optimal)

3. Beam Search Planner

Explores multiple contraction paths simultaneously:

use tenrso_planner::{BeamSearchPlanner, Planner};

let planner = BeamSearchPlanner::with_beam_width(5);
let plan = planner.make_plan(spec, shapes, hints)?;

When to use: Medium networks (8-20 tensors), better quality than greedy Complexity: O(n³ × k) where k is beam width Quality: Better (often within 1.5-2x of optimal)

4. Dynamic Programming Planner

Finds globally optimal contraction order:

use tenrso_planner::{DPPlanner, Planner};

let planner = DPPlanner::new();
let plan = planner.make_plan(spec, shapes, hints)?;

When to use: Small networks (≤ 20 tensors), need provably optimal plan Complexity: O(3ⁿ) time, O(2ⁿ) space Quality: Optimal (guarantees minimum FLOPs)

5. Simulated Annealing Planner

Stochastic search with temperature-based acceptance:

use tenrso_planner::{SimulatedAnnealingPlanner, Planner};

let planner = SimulatedAnnealingPlanner::with_params(
    1000.0,  // initial temperature
    0.95,    // cooling rate
    1000,    // max iterations
);
let plan = planner.make_plan(spec, shapes, hints)?;

When to use: Large networks (> 20 tensors), quality more important than speed Complexity: O(iterations × n) time Quality: Variable (can escape local minima)

6. Genetic Algorithm Planner

Evolutionary search with population-based exploration:

use tenrso_planner::{GeneticAlgorithmPlanner, Planner};

// Use default configuration
let planner = GeneticAlgorithmPlanner::new();

// Or use presets
let planner = GeneticAlgorithmPlanner::fast();          // Quick experimentation
let planner = GeneticAlgorithmPlanner::high_quality(); // Production quality

let plan = planner.make_plan(spec, shapes, hints)?;

When to use: Very large networks (> 20 tensors), complex topologies Complexity: O(generations × population × n³) Quality: High (can find near-optimal solutions for complex problems)

Planner Comparison

Algorithm	Time	Space	Quality	Best For
Greedy	O(n³)	O(n)	Good	General purpose, fast
Beam Search	O(n³k)	O(kn)	Better	Medium networks
DP	O(3ⁿ)	O(2ⁿ)	Optimal	n ≤ 20
Simulated Annealing	O(iter·n)	O(n)	Variable	Large, quality focus
Genetic Algorithm	O(gen·pop·n³)	O(pop·n)	High	Very large, complex
Adaptive	Varies	Varies	Auto	All cases ⭐

Examples

See the examples/ directory for detailed usage:

• basic_matmul.rs - Simple matrix multiplication
• matrix_chain.rs - Greedy vs DP comparison
• planning_hints.rs - Advanced hint usage
• genetic_algorithm.rs - GA planner showcase

Run examples:

cargo run --example basic_matmul
cargo run --example genetic_algorithm

Benchmarks

Comprehensive benchmark suite covering all planners:

# Run all benchmarks
cargo bench --package tenrso-planner

# Run specific benchmark
cargo bench --package tenrso-planner -- greedy_matrix_chain
cargo bench --package tenrso-planner -- planner_comparison_star

Benchmark Results (typical):

• Greedy: ~1ms for 10 tensors
• Beam Search (k=5): ~5ms for 10 tensors
• DP: ~1ms for 5 tensors, ~100ms for 10 tensors
• SA: ~10-100ms (configurable)
• GA: ~50-500ms (depends on population/generations)

Advanced Features

Plan Comparison and Analysis

use tenrso_planner::{greedy_planner, dp_planner};

let greedy = greedy_planner(&spec, &shapes, &hints)?;
let optimal = dp_planner(&spec, &shapes, &hints)?;

// Compare plans
let comparison = greedy.compare(&optimal);
println!("FLOPs improvement: {:.1}%", comparison.flops_improvement);

// Analyze plan
let analysis = greedy.analyze();
println!("Average node cost: {:.2e}", analysis.avg_node_cost);

Plan Refinement (Local Search)

use tenrso_planner::refine_plan;

let plan = greedy_planner(&spec, &shapes, &hints)?;
let refined = refine_plan(&plan, &spec, &shapes, &hints, 100)?;

Serialization (with serde feature)

use tenrso_planner::Plan;

let plan = greedy_planner(&spec, &shapes, &hints)?;

// Serialize to JSON
let json = serde_json::to_string(&plan)?;

// Deserialize
let loaded: Plan = serde_json::from_str(&json)?;

Performance

Planning overhead is typically negligible compared to execution:

Network Size | Greedy | Beam(k=5) | DP    | SA     | GA
-------------|--------|-----------|-------|--------|--------
3 tensors    | 100μs  | 500μs     | 1ms   | 10ms   | 50ms
5 tensors    | 200μs  | 1ms       | 10ms  | 20ms   | 100ms
10 tensors   | 1ms    | 5ms       | 1s    | 50ms   | 200ms
20 tensors   | 10ms   | 50ms      | N/A   | 100ms  | 500ms

Testing

# Run all tests
cargo test --package tenrso-planner

# Run with output
cargo test --package tenrso-planner -- --nocapture

# Run specific test
cargo test --package tenrso-planner test_ga_planner_struct

Test Coverage: 144 tests (136 unit + 8 doc), 100% passing

Documentation

Build and view documentation:

cargo doc --package tenrso-planner --open

Contributing

Contributions welcome! See CONTRIBUTING.md for guidelines.

References

• Matrix chain multiplication: Cormen et al., Introduction to Algorithms
• Tensor network contraction: Pfeifer et al., Faster identification of optimal contraction sequences (2014)
• Einsum optimization: opt_einsum library (Python)
• Genetic algorithms: Goldberg, Genetic Algorithms in Search, Optimization, and Machine Learning (1989)

License

Licensed under the Apache License, Version 2.0. See LICENSE for details.

Related Projects

• tenrso-core - Core tensor data structures
• tenrso-kernels - High-performance tensor kernels
• tenrso-exec - Plan execution engine
• tenrso - Main TenRSo library

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Status: ✅ Production-ready • Version: 0.1.0-alpha.1 • Tests: 144/144 passing