---

✨ Highlights

🧠 98 algorithms across 6 categories — from classics (PSO, GA, DE) to cutting-edge 2024 optimizers
📐 248 benchmarks — 23 classical (F1–F23), 29 CEC 2017 + 10 CEC 2020 native, and 196 CEC functions across 11 editions (2005–2022) via opfunu, remapped to official numbering
🏗️ 12 constrained engineering designs — every optimum verified against the originating paper
⚖️ Evaluation-budget fairness — max_fes caps evaluations and per-algorithm calibration keeps schedules intact; equal-iteration comparison spans a 396× budget range across the registry
⚡ Parallel and reproducible — n_jobs=-1 gives results identical to serial, because every run's seed is derived from its matrix coordinates before any work starts
🧬 Structural novelty auditing — score any algorithm, including your own, against 19 metaphor-free criteria
⚡ One-command experiments — run, export CSVs, plot, and generate Excel stats automatically
📊 Publication-ready outputs — convergence curves, box plots, Wilcoxon & Friedman tests
🔧 Real-time CSV saving — data is written after every single run, never lost
📈 Live progress bar — tqdm-powered experiment tracking
🔬 Enhancement Advisor — automated diagnostics, scoring (0–100), weakness detection & enhancement suggestions

Get Started in 30 seconds →

---

🎯 HeuriLab vs Others

Feature	HeuriLab	MEALPY	PySwarms	SciPy
Algorithms	✅ 98	~200	PSO only	Few
Benchmarks	✅ 52 (Classical + CEC 2017)	Limited	None	None
Automated Runner	✅ One function call	❌ Manual	❌ Manual	❌ Manual
CSV + Excel Export	✅ Real-time	❌	❌	❌
Statistical Tests	✅ Wilcoxon + Friedman + Nemenyi	❌	❌	❌
Convergence Plots	✅ Auto-generated	Manual	Manual	❌
Box Plots	✅ Auto-generated	❌	❌	❌
Enhancement Advisor	✅ Built-in	❌	❌	❌
Engineering Problems	✅ Built-in	❌	❌	❌
Progress Bar	✅ tqdm	❌	❌	❌
Simplicity	⭐⭐⭐⭐⭐	⭐⭐⭐	⭐⭐⭐⭐	⭐⭐⭐

---

📋 Table of Contents

• Highlights
• HeuriLab vs Others
• Installation
• 30-Second Quickstart
• Quick Start
• Architecture Overview
• Core Module
  • BenchmarkConfig & BenchmarkSuite
  • run_experiment() — Full API Reference
• 98 Built-in Algorithms
  • Base Class (_Base)
  • Swarm Intelligence (20)
  • Evolutionary (15)
  • Physics-based (16)
  • Human/Social (14)
  • Bio-inspired (15)
  • Modern 2022–2025 (20)
  • Convenience Algorithm Lists
• Benchmark Suites
  • Classical Functions (F1–F23)
  • CEC 2017 Functions (29)
• Enhancement Advisor (enhance)
  • enhance()
  • cec2017_benchmarks()
  • Diagnostic Metrics (0–100)
  • Enhancement Knowledge Base
• Exporters Module
  • CSV Export
  • Plots
  • Excel Export
• Stats Module
  • Wilcoxon Rank-Sum Test
  • Friedman Test
  • Nemenyi Post-Hoc Test
• Engineering Module
• Output Structure
• Complete Examples
• Creating Custom Algorithms
• Dependencies
• Contributing
• Community
• Citation
• License
• Acknowledgments
• Star History

---

📦 Installation

Quick install:

pip install heurilab

From source (latest features):

git clone https://github.com/arartawil/heurilab.git
cd heurilab
pip install -e .

Requirements: Python ≥3.8, NumPy, SciPy, Matplotlib, openpyxl, tqdm

View on PyPI • GitHub

---

⚡ 30-Second Quickstart

from heurilab import run_experiment, get_classical_suite
from heurilab.algorithms import PSO, GWO, WOA

run_experiment(
    algorithms=[("PSO", PSO), ("GWO", GWO), ("WOA", WOA)],
    benchmark_suites=[get_classical_suite()],
    output_dir="output",
)

That's it! 🎉 CSVs, plots, and Excel files are generated automatically.

---

🎯 Quick Start

Full Experiment with Classical + CEC 2017

from heurilab import run_experiment, get_classical_suite, get_cec2017_suite
from heurilab.algorithms import PSO, GWO, WOA, DE, CPO, DBO, HO

algorithms = [
    ("PSO", PSO),       # First = proposed (highlighted in plots & stats)
    ("GWO", GWO),
    ("WOA", WOA),
    ("DE", DE),
    ("CPO", CPO),       # Modern (2024)
    ("DBO", DBO),       # Modern (2023)
    ("HO", HO),         # Modern (2024)
]

run_experiment(
    algorithms=algorithms,
    benchmark_suites=[get_classical_suite(), get_cec2017_suite()],
    output_dir="output",
    pop_size=50,
    max_iter=300,
    dim=30,
    n_runs=30,
    run_engineering=True,
)

Output:

============================================================
  Metaheuristic Experiment
  Algorithms: PSO, GWO, WOA, DE, CPO, DBO, HO
  Proposed: PSO
  Pop=50, MaxIter=300, Dim=30, Runs=30
============================================================

Experiment: 100%|██████████████████████████████| 364/364 [12:34<00:00]

CSV files written to: output\CSV Data
Plots saved to: output
Excel files saved to: output\Excel Files

============================================================
  Experiment complete!
  All outputs in: C:\...\output
============================================================

Using Specific Benchmark Subsets

from heurilab import (
    get_classical_suite,    # All 23 classical (F1–F23)
    get_unimodal_suite,     # F1–F7  (unimodal)
    get_multimodal_suite,   # F8–F13 (multimodal)
    get_fixeddim_suite,     # F14–F23 (fixed-dimension)
    get_cec2017_suite,      # All 29 CEC 2017
)

# Quick test with unimodal only
run_experiment(
    algorithms=[("PSO", PSO), ("GWO", GWO)],
    benchmark_suites=[get_unimodal_suite()],
    output_dir="output",
    pop_size=30, max_iter=100, dim=10, n_runs=5,
)

---

🏛️ Architecture Overview

heurilab/
├── __init__.py              # Public API re-exports
├── algorithms/              # 98 metaheuristic algorithms (6 categories)
│   ├── base.py              # _Base class — shared interface
│   ├── swarm/               # 19 swarm intelligence algorithms
│   ├── evolutionary/        # 15 evolutionary algorithms
│   ├── physics/             # 16 physics-based algorithms
│   ├── human/               # 13 human/social algorithms
│   ├── bio/                 # 15 bio-inspired algorithms
│   └── modern/              # 20 modern (2022–2025) algorithms
├── core/
│   ├── benchmarks.py        # BenchmarkConfig, BenchmarkSuite
│   ├── functions.py         # 23 classical benchmark functions
│   ├── cec2017.py           # 29 CEC 2017 functions (native)
│   ├── cec2020.py           # 10 CEC 2020 functions (native)
│   ├── opfunu_suites.py     # 196 CEC functions, 11 editions, official numbering
│   ├── budget.py            # evaluation-budget calibration
│   └── runner.py            # run_experiment() orchestrator
├── analyzer/
│   ├── enhance.py           # Enhancement Advisor
│   ├── qualitative.py       # six-panel behaviour figure
│   ├── coefficients.py      # measured control-law / exploration traces
│   └── _cec2017_tests.py    # CEC 2017 benchmark dict for enhance()
├── taxonomy/                # structural novelty auditing
│   ├── criteria.py          # 19 metaphor-free structural criteria
│   ├── detect.py            # runtime + source feature detection
│   ├── distance.py          # Rogers–Tanimoto distance
│   ├── cluster.py           # UPGMA, silhouette, PCA
│   ├── novelty.py           # check_novelty(), compare()
│   └── report.py            # novelty report writer
├── exporters/
│   ├── csv_export.py        # Real-time CSV output
│   ├── plots.py             # Convergence curves & box plots
│   └── excel_export.py      # Results.xlsx, Wilcoxon.xlsx, Friedman.xlsx
├── stats/
│   └── tests.py             # Wilcoxon, Friedman, Nemenyi statistical tests
└── engineering/
    ├── problems.py          # 12 constrained engineering designs, optima verified
    └── runner.py            # Engineering problem runner

Pipeline Flow:

run_experiment()
  ├── Phase 1: Run all (algorithm × benchmark × n_runs) → CSV files (real-time)
  ├── Phase 2: Generate convergence curve + box plot PNGs
  ├── Phase 3: Generate Excel files (Results, Wilcoxon, Friedman)
  └── Phase 4: (optional) Run engineering design problems

---

🧩 Core Module

BenchmarkConfig & BenchmarkSuite

from heurilab import BenchmarkConfig, BenchmarkSuite

BenchmarkConfig — A single benchmark function:

Field	Type	Default	Description
name	str	—	Display name
obj_func	Callable	—	Objective function f(x) → float
lb	float	—	Lower bound
ub	float	—	Upper bound
dim	int	30	Dimensionality

BenchmarkSuite — A named collection of benchmarks:

Field	Type	Description
category	str	Category name (e.g., "Classical")
benchmarks	List[BenchmarkConfig]	List of benchmark configs

Methods:

Method	Description
.add(name, obj_func, lb, ub, dim)	Add a benchmark (chainable)
len(suite)	Number of benchmarks
for bench in suite:	Iterate over benchmarks

Example — Custom Suite:

import numpy as np
from heurilab import BenchmarkSuite

suite = BenchmarkSuite(category="My Functions")
suite.add("Sphere", lambda x: sum(x**2), -100, 100, 30)
suite.add("Rastrigin", lambda x: 10*len(x) + sum(x**2 - 10*np.cos(2*np.pi*x)), -5.12, 5.12, 30)

---

run_experiment() — Full API Reference

from heurilab import run_experiment

Signature:

run_experiment(
    algorithms: List[Tuple[str, Type]],
    benchmark_suites: List[BenchmarkSuite],
    output_dir: str = "output",
    pop_size: int = 50,
    max_iter: int = 300,
    dim: int = 30,
    n_runs: int = 30,
    run_engineering: bool = True,
    engineering_pop_size: int = 50,
    engineering_max_iter: int = 500,
    engineering_n_runs: int = 30,
)

Parameters:

Parameter	Type	Default	Description
algorithms	List[Tuple[str, Type]]	—	List of (name, AlgorithmClass) tuples. First = proposed
benchmark_suites	List[BenchmarkSuite]	—	Benchmark suites to run
output_dir	str	"output"	Root output directory
pop_size	int	50	Population size
max_iter	int	300	Maximum iterations
dim	int	30	Default dimensionality (overridden by benchmark config)
n_runs	int	30	Number of independent runs
run_engineering	bool	True	Whether to run engineering design problems
engineering_pop_size	int	50	Pop size for engineering problems
engineering_max_iter	int	500	Max iterations for engineering problems
engineering_n_runs	int	30	Number of runs for engineering problems

Pipeline Phases:

1. Phase 1 — Run all algorithm × benchmark × n_runs combinations. CSV files are written in real-time after every single run (raw_runs.csv) and after every algorithm-function combo (results.csv, convergence.csv).
2. Phase 2 — Generate convergence curve and box plot PNG images for every benchmark function.
3. Phase 3 — Generate styled Excel workbooks: Results.xlsx, Wilcoxon.xlsx, Friedman.xlsx.
4. Phase 4 — (optional) Run 3 engineering design problems using only the proposed algorithm.

⚠️ Important: The first algorithm in the list is treated as the "proposed" algorithm and is:

• Highlighted with thicker lines in convergence plots
• Highlighted with red border in box plots
• Used as the reference in Wilcoxon pairwise tests
• Highlighted with a distinct fill color in Excel sheets
• The only algorithm used for engineering problems

---

🧠 98 Built-in Algorithms

from heurilab.algorithms import PSO, GWO, WOA, ...
from heurilab.algorithms import ALL_ALGORITHMS

Base Class (_Base)

Every algorithm inherits from _Base:

class _Base:
    def __init__(self, pop_size, dim, lb, ub, max_iter, obj_func):
        self.pop_size = pop_size           # int
        self.dim = dim                     # int
        self.lb = np.array(lb)             # np.ndarray (broadcast to dim)
        self.ub = np.array(ub)             # np.ndarray (broadcast to dim)
        self.max_iter = max_iter           # int
        self.obj_func = obj_func           # Callable
        self._progress_callback = None

    def _init_pop(self):
        """Random uniform initialization in [lb, ub]."""
        return np.random.uniform(self.lb, self.ub, (self.pop_size, self.dim))

    def _clip(self, x):
        """Clip solution to [lb, ub]."""
        return np.clip(x, self.lb, self.ub)

    def _eval(self, x):
        """Evaluate objective function (with optional progress callback)."""
        result = self.obj_func(x)
        if self._progress_callback is not None:
            self._progress_callback(result)
        return result

All algorithms must implement:

def optimize(self) -> Tuple[np.ndarray, float, list]:
    """
    Returns:
        best_solution: np.ndarray of shape (dim,)
        best_fitness: float
        convergence: list of best fitness per iteration (length = max_iter + 1)
    """

---

Swarm Intelligence (20)

Abbr	Algorithm	Author(s), Year
PSO	Particle Swarm Optimization	Kennedy & Eberhart, 1995
GWO	Grey Wolf Optimizer	Mirjalili et al., 2014
WOA	Whale Optimization Algorithm	Mirjalili & Lewis, 2016
MFO	Moth-Flame Optimization	Mirjalili, 2015
SSA	Salp Swarm Algorithm	Mirjalili et al., 2017
HHO	Harris Hawks Optimization	Heidari et al., 2019
MPA	Marine Predators Algorithm	Faramarzi et al., 2020
BA	Bat Algorithm	Yang, 2010
CS	Cuckoo Search	Yang & Deb, 2009
FPA	Flower Pollination Algorithm	Yang, 2012
DA	Dragonfly Algorithm	Mirjalili, 2016
GOA	Grasshopper Optimization Algorithm	Saremi et al., 2017
ALO	Ant Lion Optimizer	Mirjalili, 2015
SHO	Spotted Hyena Optimizer	Dhiman & Kumar, 2017
EHO	Elephant Herding Optimization	Wang et al., 2015
AO	Aquila Optimizer	Abualigah et al., 2021
HGS	Hunger Games Search	Yang et al., 2021
GTO	Gorilla Troops Optimizer	Abdollahzadeh et al., 2021
RUN	RUNge Kutta Optimizer	Ahmadianfar et al., 2021

Evolutionary (15)

Abbr	Algorithm	Author(s), Year
GA	Genetic Algorithm	Holland, 1975
DE	Differential Evolution	Storn & Price, 1997
ES	Evolution Strategy	Rechenberg, 1973
EP	Evolutionary Programming	Fogel, 1966
CMA	CMA-ES	Hansen & Ostermeier, 2001
BBO	Biogeography-Based Optimization	Simon, 2008
SHADE	Success-History Adaptation DE	Tanabe & Fukunaga, 2013
TLGO	Teaching-Learning-GO	Rao et al., 2011
CoDE	Composite DE	Wang et al., 2011
SaDE	Self-adaptive DE	Qin et al., 2009
OXDE	Orthogonal Crossover DE	Wang & Cai, 2012
AGDE	Adaptive Guided DE	Mohamed et al., 2019
LSHADE	L-SHADE	Tanabe & Fukunaga, 2014
EBOwithCMAR	EBO with CMAR	Kumar et al., 2017
IMODE	Improved Multi-Op DE	Sallam et al., 2020

Physics-based (16)

Abbr	Algorithm	Author(s), Year
GSA	Gravitational Search Algorithm	Rashedi et al., 2009
MVO	Multi-Verse Optimizer	Mirjalili et al., 2016
SCA	Sine Cosine Algorithm	Mirjalili, 2016
AOA	Arithmetic Optimization Algorithm	Abualigah et al., 2021
SA	Simulated Annealing	Kirkpatrick et al., 1983
EO	Equilibrium Optimizer	Faramarzi et al., 2020
WDO	Wind Driven Optimization	Bayraktar et al., 2010
HGSO	Henry Gas Solubility Optimization	Hashim et al., 2019
CSS	Charged System Search	Kaveh & Talatahari, 2010
CFO	Central Force Optimization	Formato, 2007
TWO	Tug of War Optimization	Kaveh & Zolghadr, 2016
ASO	Atom Search Optimization	Zhao et al., 2019
RIME	RIME Optimization	Su et al., 2023
AEO	Artificial Ecosystem Optimizer	Zhao et al., 2020
GBO	Gradient-Based Optimizer	Ahmadianfar et al., 2020
TSO	Transient Search Optimization	Qais et al., 2020

Human/Social (14)

Abbr	Algorithm	Author(s), Year
TLBO	Teaching-Learning-Based Optimization	Rao et al., 2011
JA	Jaya Algorithm	Rao, 2016
HS	Harmony Search	Geem et al., 2001
ICA	Imperialist Competitive Algorithm	Atashpaz-Gargari & Lucas, 2007
CA	Cultural Algorithm	Reynolds, 1994
BSO	Brain Storm Optimization	Shi, 2011
INFO	Weighted Mean of Vectors (INFO)	Ahmadianfar et al., 2022
HBO	Heap-Based Optimizer	Askari et al., 2020
AOArch	Archimedes Optimization	Hashim et al., 2021
CHIO	Coronavirus Herd Immunity Optimizer	Al-Betar et al., 2021
SSOA	Social Spider Optimization	Cuevas et al., 2013
POA	Pelican Optimization Algorithm	Trojovský & Dehghani, 2022

Bio-inspired (15)

Abbr	Algorithm	Author(s), Year
ABC	Artificial Bee Colony	Karaboga, 2005
FA	Firefly Algorithm	Yang, 2008
SOS	Symbiotic Organisms Search	Cheng & Prayogo, 2014
BFO	Bacterial Foraging Optimization	Passino, 2002
CSA	Crow Search Algorithm	Askarzadeh, 2016
BOA	Butterfly Optimization Algorithm	Arora & Singh, 2019
TSA	Tunicate Swarm Algorithm	Kaur et al., 2020
WHO	Wild Horse Optimizer	Naruei & Keynia, 2022
SBO	Satin Bowerbird Optimizer	Moosavi & Bardsiri, 2017
MBO	Monarch Butterfly Optimization	Wang et al., 2019
EPO	Emperor Penguin Optimizer	Dhiman & Kumar, 2018
SMA	Slime Mould Algorithm	Li et al., 2020
HBA	Honey Badger Algorithm	Hashim et al., 2022
RSA	Reptile Search Algorithm	Abualigah et al., 2022
GJO	Golden Jackal Optimization	Chopra & Ansari, 2022

Modern 2022–2025 (20)

Abbr	Algorithm	Author(s), Year
AVOA	African Vultures Optimization	Abdollahzadeh et al., 2021
DMO	Dwarf Mongoose Optimizer	Agushaka et al., 2022
MGO	Mountain Gazelle Optimizer	Abdollahzadeh et al., 2022
DBO	Dung Beetle Optimizer	Xue & Shen, 2023
COA	Coati Optimization Algorithm	Dehghani et al., 2023
OOA	Osprey Optimization Algorithm	Dehghani & Trojovský, 2023
NOA	Nutcracker Optimization Algorithm	Abdel-Basset et al., 2023
SAO	Snow Ablation Optimizer	Deng & Liu, 2023
FLA	Fick's Law Algorithm	Hashim et al., 2023
EVO	Energy Valley Optimizer	Azizi et al., 2023
EDO	Exponential Distribution Optimizer	Abdel-Basset et al., 2023
MOA	Mud Ring Algorithm	Wang & Zhang, 2023
CPO	Crested Porcupine Optimizer	Abdel-Basset et al., 2024
PO	Pufferfish Optimization	Mohammadi et al., 2024
FO	Fox Optimizer	Mohammed & Rashid, 2023
HO	Hippopotamus Optimization	Amiri et al., 2024
KOA	Komodo Algorithm	Suyanto et al., 2024
SBOA	Secretary Bird Optimization	Wang et al., 2024
GMO	Geometric Mean Optimizer	Rezaei et al., 2023
FFO	Fennec Fox Optimization	Trojovská et al., 2024

Convenience Algorithm Lists

from heurilab.algorithms import (
    SWARM_ALGORITHMS,        # 20 (name, class) tuples
    EVOLUTIONARY_ALGORITHMS, # 15
    PHYSICS_ALGORITHMS,      # 16
    HUMAN_ALGORITHMS,        # 14
    BIO_ALGORITHMS,          # 15
    MODERN_ALGORITHMS,       # 20
    ALL_ALGORITHMS,          # 98 (all combined)
)

# Run all 98 algorithms
run_experiment(
    algorithms=ALL_ALGORITHMS,
    benchmark_suites=[get_classical_suite()],
    ...
)

---

📐 Benchmark Suites

Classical Benchmark Functions (F1–F23)

Standard test suite from Yao et al. (1999), widely used in metaheuristic literature.

from heurilab import F1, F2, F3, ..., F23
from heurilab import get_classical_suite, get_unimodal_suite, get_multimodal_suite, get_fixeddim_suite

Unimodal Functions (F1–F7)

Function	Name	Bounds	Dim	Optimum
F1	Sphere	[-100, 100]	30	0
F2	Schwefel 2.22	[-10, 10]	30	0
F3	Schwefel 1.2	[-100, 100]	30	0
F4	Schwefel 2.21	[-100, 100]	30	0
F5	Rosenbrock	[-30, 30]	30	0
F6	Step	[-100, 100]	30	0
F7	Quartic (Noise)	[-1.28, 1.28]	30	0

Multimodal Functions (F8–F13)

Function	Name	Bounds	Dim	Optimum
F8	Schwefel 2.26	[-500, 500]	30	-12569.5
F9	Rastrigin	[-5.12, 5.12]	30	0
F10	Ackley	[-32, 32]	30	0
F11	Griewank	[-600, 600]	30	0
F12	Penalized 1	[-50, 50]	30	0
F13	Penalized 2	[-50, 50]	30	0

Fixed-Dimension Multimodal Functions (F14–F23)

Function	Name	Bounds	Dim
F14	Shekel Foxholes	[-65.536, 65.536]	2
F15	Kowalik	[-5, 5]	4
F16	Six-Hump Camel	[-5, 5]	2
F17	Branin	[-5, 15]	2
F18	Goldstein-Price	[-2, 2]	2
F19	Hartmann 3-D	[0, 1]	3
F20	Hartmann 6-D	[0, 1]	6
F21	Shekel 5	[0, 10]	4
F22	Shekel 7	[0, 10]	4
F23	Shekel 10	[0, 10]	4

Pre-built Suite Constructors

Function	Returns
get_classical_suite()	All 23 functions (F1–F23)
get_unimodal_suite()	Unimodal only (F1–F7)
get_multimodal_suite()	Multimodal only (F8–F13)
get_fixeddim_suite()	Fixed-dim only (F14–F23)

---

CEC 2017 Benchmark Functions (29 Functions)

Based on the CEC 2017 competition (Awad et al., 2016). F2 is excluded per official spec. All functions use seeded shift vectors — the global optimum is NOT at the origin. Search range: [-100, 100]^D.

from heurilab import CEC17_F1, CEC17_F3, ..., CEC17_F30
from heurilab import get_cec2017_suite

Unimodal (2 functions)

Function	Name	F_min
CEC17_F1	Bent Cigar	100
CEC17_F3	Zakharov	300

Simple Multimodal (7 functions)

Function	Name	F_min
CEC17_F4	Rosenbrock	400
CEC17_F5	Rastrigin	500
CEC17_F6	Expanded Scaffer's F6	600
CEC17_F7	Lunacek Bi-Rastrigin	700
CEC17_F8	Non-Cont. Rastrigin	800
CEC17_F9	Levy	900
CEC17_F10	Schwefel	1000

Hybrid (10 functions)

Function	Name	Sub-functions	F_min
CEC17_F11	Hybrid 1	Zakharov, Rosenbrock, Rastrigin	1100
CEC17_F12	Hybrid 2	Elliptic, Schwefel, Bent Cigar	1200
CEC17_F13	Hybrid 3	Bent Cigar, Rosenbrock, Lunacek	1300
CEC17_F14	Hybrid 4	Elliptic, Ackley, Schwefel, Rastrigin	1400
CEC17_F15	Hybrid 5	Bent Cigar, HGBat, Rastrigin, Rosenbrock	1500
CEC17_F16	Hybrid 6	Exp. Scaffer, HGBat, Rosenbrock, Schwefel	1600
CEC17_F17	Hybrid 7	Katsuura, Ackley, Griewank, Schwefel, Rastrigin	1700
CEC17_F18	Hybrid 8	Elliptic, Ackley, Schwefel, Rastrigin, Bent Cigar	1800
CEC17_F19	Hybrid 9	HappyCat, Katsuura, Ackley, Rastrigin, Schwefel, Rosen	1900
CEC17_F20	Hybrid 10	HGBat, Katsuura, Ackley, Rastrigin, Schwefel, Scaffer	2000

Composition (10 functions)

Function	Name	Components	F_min
CEC17_F21	Composition 1	3	2100
CEC17_F22	Composition 2	3	2200
CEC17_F23	Composition 3	4	2300
CEC17_F24	Composition 4	4	2400
CEC17_F25	Composition 5	5	2500
CEC17_F26	Composition 6	5	2600
CEC17_F27	Composition 7	6	2700
CEC17_F28	Composition 8	6	2800
CEC17_F29	Composition 9	7	2900
CEC17_F30	Composition 10	8	3000

Pre-built CEC 2017 Suite Constructors

Function	Returns
get_cec2017_suite()	All 29 functions
get_cec2017_unimodal_suite()	F1, F3 (2 functions)
get_cec2017_multimodal_suite()	F4–F10 (7 functions)
get_cec2017_hybrid_suite()	F11–F20 (10 functions)
get_cec2017_composition_suite()	F21–F30 (10 functions)

---

🔬 Enhancement Advisor

The enhancement advisor runs diagnostic benchmarks on any algorithm and provides performance scores, detected weaknesses, ranked enhancement suggestions with code snippets, and diagnostic plots.

from heurilab.analyzer import enhance, cec2017_benchmarks

enhance()

result = enhance(
    algorithm=("MyAlgo", MyAlgo),
    output_dir="enhance_report",
    pop_size=50,
    max_iter=200,
    n_runs=10,
    benchmarks=None,
)

Parameters:

Parameter	Type	Default	Description
algorithm	Tuple[str, Type]	—	(name, AlgorithmClass) to analyze
output_dir	str	"enhance_report"	Directory to save report and plots
pop_size	int	50	Population size for diagnostic runs
max_iter	int	200	Max iterations for diagnostic runs
n_runs	int	10	Number of runs per diagnostic test
benchmarks	dict or None	None	Custom benchmarks. If None, uses built-in 6-test suite

Returns: dict with keys:

• "scores" — Performance scores (0–100) for each metric
• "weaknesses" — List of detected weaknesses
• "suggestions" — Ranked enhancement suggestions
• "report_text" — Full formatted text report

Built-in Diagnostic Suite (6 tests, used when benchmarks=None):

Test Key	Function	Dim	Purpose
unimodal	F1 Sphere	30	Exploitation quality
rosenbrock	F5 Rosenbrock	30	Valley navigation
multimodal	F9 Rastrigin	30	Local optima escape
ackley	F10 Ackley	30	Multimodal performance
griewank	F11 Griewank	30	Multimodal (lower difficulty)
highdim	F1 Sphere	100	Scalability

Custom Benchmarks:

benchmarks = {
    "test1": {
        "name": "My Function",
        "func": my_func,       # Callable: f(x) → float
        "lb": -100,
        "ub": 100,
        "dim": 30,
        "optimum": 0.0,
    },
}
result = enhance(("MyAlgo", MyAlgo), benchmarks=benchmarks)

Output Files:

File	Description
{AlgoName}_report.txt	Full text report with scores, weaknesses, suggestions
{AlgoName}_radar.png	Radar chart of performance profile
{AlgoName}_scores.png	Horizontal bar chart of scores
{AlgoName}_convergence.png	Convergence curves for all diagnostic tests
{AlgoName}_diversity.png	Population diversity curves

---

cec2017_benchmarks()

from heurilab.analyzer import cec2017_benchmarks

cec_tests = cec2017_benchmarks(dim=30)  # Returns dict for all 29 CEC 2017 functions
result = enhance(("MyAlgo", MyAlgo), benchmarks=cec_tests)

Returns a dict formatted for enhance(benchmarks=...) with all 29 CEC 2017 functions, including their known optima.

---

Diagnostic Metrics (Scored 0–100)

Metric	Weight	Description
Exploitation	20%	How close to known optimum on unimodal (F1)
Exploration	10%	Initial population diversity maintenance
Local Optima Escape	20%	Performance on multimodal (F9 Rastrigin)
Convergence Speed	10%	Fraction of improvement in first 25% of iterations
Stability	10%	Inverse coefficient of variation across runs
Stagnation Resistance	10%	How late stagnation begins relative to max_iter
Scalability	10%	Performance on high-dim (F1, d=100)
Multimodal	5%	Average across Rastrigin, Ackley, Griewank
Valley Navigation	5%	Performance on Rosenbrock
Overall	—	Weighted sum of all above

Score Interpretation:

Score Range	Label
≥ 70	Strong
50–69	OK
35–49	Weak
< 35	Poor

---

Enhancement Knowledge Base (10 Techniques)

When weaknesses are detected (score < threshold), the advisor suggests applicable enhancements ranked by impact:

#	Enhancement	Fixes	Impact
1	Chaotic Inertia / Step-Size Decay	exploitation, convergence	★★★★★
2	Lévy Flight Mutation	local_optima_escape, multimodal	★★★★★
3	Opposition-Based Learning (OBL)	exploration, local_optima	★★★★
4	Stagnation Escape (Pop Restart)	stagnation, local_optima	★★★★
5	Gaussian Local Search	exploitation, convergence	★★★★
6	Adaptive Parameter Control (SHADE)	exploration, exploitation	★★★
7	Elite Preservation with Perturbation	stability, exploitation	★★★
8	Dimensional Learning	highdim, scalability	★★★
9	Boundary Reflection	exploration, boundary_bias	★★
10	Cauchy Mutation for Best Solution	local_optima, exploitation	★★★

Each suggestion includes a description and ready-to-use Python code snippet.

---

How to Use the Enhancement Advisor — Step by Step

Step 1: Run a Quick Diagnostic on Your Algorithm

from heurilab.analyzer import enhance
from heurilab.algorithms import PSO   # or your own algorithm

result = enhance(
    algorithm=("PSO", PSO),
    output_dir="enhance_report_pso",
    pop_size=50,
    max_iter=200,
    n_runs=10,
)

This runs 6 built-in diagnostic tests (Sphere, Rosenbrock, Rastrigin, Ackley, Griewank, High-Dim Sphere) and generates a full report.

Step 2: Read the Scores

scores = result["scores"]
print(f"Overall:            {scores['overall']:.1f}/100")
print(f"Exploitation:       {scores['exploitation']:.1f}/100")
print(f"Exploration:        {scores['exploration']:.1f}/100")
print(f"Local Optima Escape:{scores['local_optima_escape']:.1f}/100")
print(f"Convergence Speed:  {scores['convergence_speed']:.1f}/100")
print(f"Stability:          {scores['stability']:.1f}/100")
print(f"Stagnation:         {scores['stagnation']:.1f}/100")
print(f"Scalability:        {scores['scalability']:.1f}/100")
print(f"Multimodal:         {scores['multimodal']:.1f}/100")
print(f"Valley Navigation:  {scores['valley_navigation']:.1f}/100")

Step 3: Check Detected Weaknesses

if result["weaknesses"]:
    print("⚠️  Weaknesses detected:")
    for w in result["weaknesses"]:
        print(f"  - {w}")
else:
    print("✅ No major weaknesses found!")

Step 4: Read Enhancement Suggestions

for i, suggestion in enumerate(result["suggestions"], 1):
    print(f"\n{'='*60}")
    print(f"Suggestion #{i}: {suggestion['name']}")
    print(f"Impact: {'★' * suggestion['impact']}")
    print(f"Description: {suggestion['description']}")
    print(f"Code:\n{suggestion['code']}")

Step 5: Check the Generated Files

After running, your output directory will contain:

enhance_report_pso/
├── PSO_report.txt          ← Full text report (human-readable)
├── PSO_radar.png           ← Radar chart showing strengths/weaknesses
├── PSO_scores.png          ← Bar chart of all metric scores
├── PSO_convergence.png     ← Convergence curves across diagnostic tests
└── PSO_diversity.png       ← Population diversity over iterations

The _report.txt file includes everything: scores, weaknesses, suggestions with code snippets — ready for your research notes.

Step 6: Deep Analysis with CEC 2017

For a more thorough analysis using all 29 CEC 2017 competition functions:

from heurilab.analyzer import enhance, cec2017_benchmarks

result = enhance(
    algorithm=("PSO", PSO),
    output_dir="enhance_report_pso_cec2017",
    benchmarks=cec2017_benchmarks(dim=30),
    pop_size=30,
    max_iter=500,
    n_runs=10,
)

Step 7: Analyze Your Own Custom Algorithm

from heurilab.analyzer import enhance

# Your custom algorithm (must extend _Base)
from my_algorithm import MyOptimizer

result = enhance(
    algorithm=("MyOptimizer", MyOptimizer),
    output_dir="enhance_report_myopt",
    pop_size=50,
    max_iter=300,
    n_runs=15,
)

# Then apply the suggested fixes and re-analyze:
# result_v2 = enhance(("MyOptimizer_v2", MyOptimizerV2), output_dir="enhance_report_v2")
# Compare scores to see improvement!

Step 8: Use Custom Benchmarks

You can define your own diagnostic tests:

import numpy as np

benchmarks = {
    "sphere_10d": {
        "name": "Sphere (d=10)",
        "func": lambda x: np.sum(x**2),
        "lb": -100, "ub": 100, "dim": 10,
        "optimum": 0.0,
    },
    "sphere_50d": {
        "name": "Sphere (d=50)",
        "func": lambda x: np.sum(x**2),
        "lb": -100, "ub": 100, "dim": 50,
        "optimum": 0.0,
    },
    "rastrigin_50d": {
        "name": "Rastrigin (d=50)",
        "func": lambda x: 10*len(x) + np.sum(x**2 - 10*np.cos(2*np.pi*x)),
        "lb": -5.12, "ub": 5.12, "dim": 50,
        "optimum": 0.0,
    },
}

result = enhance(
    algorithm=("PSO", PSO),
    output_dir="enhance_custom",
    benchmarks=benchmarks,
    pop_size=40,
    max_iter=200,
    n_runs=10,
)

Complete Enhancement Workflow Example

from heurilab.analyzer import enhance, cec2017_benchmarks
from heurilab.algorithms import GWO

# ── Phase 1: Quick diagnostic ────────────────────────
result = enhance(("GWO", GWO), output_dir="gwo_analysis/diagnostic")
print(f"Overall Score: {result['scores']['overall']:.1f}/100")
print(f"Weaknesses: {result['weaknesses']}")
print(f"Top suggestion: {result['suggestions'][0]['name']}")

# ── Phase 2: CEC 2017 deep analysis ──────────────────
result_cec = enhance(
    ("GWO", GWO),
    output_dir="gwo_analysis/cec2017",
    benchmarks=cec2017_benchmarks(dim=30),
    pop_size=30,
    max_iter=500,
    n_runs=10,
)

# ── Phase 3: Apply fixes → re-analyze improved version ─
# (After implementing suggested enhancements in GWO_v2)
# result_v2 = enhance(("GWO_v2", GWO_v2), output_dir="gwo_analysis/v2")
# Compare: result["scores"]["overall"] vs result_v2["scores"]["overall"]

---

📤 Exporters Module

CSV Export

Three CSV files written in real-time during experiments:

results.csv — Summary statistics per algorithm-function combination:

Column	Description
Benchmark	Function name
Algorithm	Algorithm name
Mean	Mean best fitness
Std	Standard deviation
Best	Best (minimum) fitness
Worst	Worst (maximum) fitness
Median	Median fitness

raw_runs.csv — Individual run data:

Column	Description
Benchmark	Function name
Algorithm	Algorithm name
Run	Run index (1-based)
BestFitness	Best fitness of this run
Time_s	Elapsed time in seconds
Conv_0..N	Convergence curve values

convergence.csv — Mean convergence curve per algorithm-function:

Column	Description
Benchmark	Function name
Algorithm	Algorithm name
Iter_0..N	Mean convergence at each iteration

---

Plots

Convergence Curves — One PNG per benchmark function:

• All algorithms plotted on the same figure
• Y-axis uses symlog scale (handles both large and small values)
• The proposed algorithm (first in list) is plotted last with thicker line (2.5px vs 1.5px)
• Markers every 10% of iterations for distinguishability
• 20 distinct colors and markers for up to 20 algorithms

Box Plots — One PNG per benchmark function:

• Side-by-side box plots with means shown as diamond markers
• Proposed algorithm highlighted with red border and higher opacity
• Auto-switches to symlog scale when range spans >1000×

---

Excel Export

Three styled Excel workbooks:

Results.xlsx — Performance comparison:

• One sheet per benchmark suite category (Classical, CEC2017, etc.)
• "All Functions" combined sheet
• "Ranking" sheet with average rank and win count per algorithm
• Best mean per function highlighted in green
• Proposed algorithm column highlighted in blue

Wilcoxon.xlsx — Pairwise statistical tests:

• One sheet per category with p-values and winners
• Color-coded: 🟢 green = proposed wins, 🔴 red = proposed loses, 🟡 yellow = tie
• "Summary" sheet with total W/T/L counts per competitor

Friedman.xlsx — Multi-algorithm ranking:

• "Mean Ranks" sheet with Friedman χ² and p-value per category + overall
• "Nemenyi Post-Hoc" sheet with pairwise rank differences
• Color-coded: 🟢 green = not significantly different, 🔴 red = significantly different

---

📊 Stats Module

from heurilab.stats.tests import wilcoxon_test, friedman_test, nemenyi_cd, nemenyi_pairwise

Wilcoxon Rank-Sum Test

p_value, winner = wilcoxon_test(proposed_vals, competitor_vals, alpha=0.05)

• Uses scipy.stats.ranksums (two-sided)
• Returns winner as "proposed", "competitor", or "tie"
• Winner determined by mean comparison when p < alpha

Friedman Test

chi2, p_value, mean_ranks = friedman_test(all_data, algo_names, func_names)

• all_data[func_name][algo_name] = list of fitness values
• Ranks algorithms per function using scipy.stats.rankdata
• Returns mean rank per algorithm (lower = better)

Nemenyi Post-Hoc Test

cd = nemenyi_cd(n_algos, n_funcs, alpha=0.05)
# Critical Difference = q_alpha * sqrt(k(k+1) / (6N))

pairwise = nemenyi_pairwise(mean_ranks, n_funcs, algo_names)
# pairwise[(algo_i, algo_j)] = (rank_diff, is_significant)

Supports 2–20 algorithms with pre-tabulated q-values.

---

🏭 Engineering Module

Three constrained engineering design problems with penalty-based constraint handling (penalty = 10¹⁰ per violated constraint).

from heurilab.engineering.problems import ENGINEERING_PROBLEMS

Problem	Variables	Bounds	Constraints
Pressure Vessel Design	4	[0.0625, 6.1875] × [0.0625, 6.1875] × [10, 200] × [10, 200]	4
Welded Beam Design	4	[0.1, 2] × [0.1, 10] × [0.1, 10] × [0.1, 2]	7
Tension/Compression Spring	3	[0.05, 2] × [0.25, 1.3] × [2, 15]	4

Runs automatically when run_engineering=True in run_experiment(). Only the proposed algorithm (first in list) is evaluated.

Engineering output (Engineering.xlsx) includes per problem:

• Summary sheet (Best, Mean, Worst, Std, Median)
• Optimal variables sheet
• All 30 runs sheet
• Convergence data sheet
• Convergence plot + box plot

---

📁 Output Structure

output/
├── CSV Data/
│   ├── results.csv              # Mean, Std, Best, Worst, Median per algo × function
│   ├── raw_runs.csv             # Per-run fitness + convergence (saved in real-time)
│   └── convergence.csv          # Mean convergence curves
├── Convergence Curves/
│   ├── F1_Sphere.png            # One PNG per benchmark function
│   ├── F2_Schwefel2.22.png
│   └── ...
├── Box Plots/
│   ├── F1_Sphere.png            # One PNG per benchmark function
│   └── ...
└── Excel Files/
    ├── Results.xlsx             # Per-suite sheets + Ranking sheet
    ├── Wilcoxon.xlsx            # Pairwise p-values + W/T/L summary
    ├── Friedman.xlsx            # Mean ranks + Nemenyi post-hoc
    └── Engineering.xlsx         # Engineering design problem results

Key features:

• 🔄 Real-time CSV saving — raw_runs.csv is updated after every single run
• 📈 Live progress bar — tqdm shows current algorithm × benchmark
• 🎨 Publication-ready plots — convergence curves and box plots auto-generated
• 📊 Statistical tests — Wilcoxon and Friedman with p-values in Excel

---

📚 Complete Examples

Example 1: Quick Comparison of 3 Algorithms

from heurilab import run_experiment, get_unimodal_suite
from heurilab.algorithms import PSO, GWO, DE

run_experiment(
    algorithms=[("PSO", PSO), ("GWO", GWO), ("DE", DE)],
    benchmark_suites=[get_unimodal_suite()],
    output_dir="output",
    pop_size=30, max_iter=100, dim=10, n_runs=5,
    run_engineering=False,
)

Example 2: Full Research Experiment

from heurilab import run_experiment, get_classical_suite, get_cec2017_suite
from heurilab.algorithms import (
    PSO, GWO, WOA, HHO, MPA, SSA,
    DE, GA, ES,
    GSA, MVO, SCA, AOA,
    TLBO, JA,
    ABC, FA, SOS,
    CPO, HO,
)

algorithms = [
    ("CPO", CPO),      # Proposed (first = highlighted)
    ("PSO", PSO), ("GWO", GWO), ("WOA", WOA),
    ("HHO", HHO), ("MPA", MPA), ("SSA", SSA),
    ("DE", DE), ("GA", GA), ("ES", ES),
    ("GSA", GSA), ("MVO", MVO), ("SCA", SCA), ("AOA", AOA),
    ("TLBO", TLBO), ("JA", JA),
    ("ABC", ABC), ("FA", FA), ("SOS", SOS),
    ("HO", HO),
]

run_experiment(
    algorithms=algorithms,
    benchmark_suites=[get_classical_suite(), get_cec2017_suite()],
    output_dir="output",
    pop_size=50,
    max_iter=300,
    dim=30,
    n_runs=30,
    run_engineering=True,
    engineering_n_runs=30,
)

Example 3: Using Modern 2024 Algorithms

from heurilab import run_experiment, get_classical_suite
from heurilab.algorithms import CPO, PO, FO, HO, KOA, SBOA, GMO, FFO

algorithms = [
    ("CPO", CPO),    # Crested Porcupine Optimizer (2024)
    ("PO", PO),      # Parrot Optimizer (2024)
    ("FO", FO),      # Fox Optimizer (2024)
    ("HO", HO),      # Hippopotamus Optimization (2024)
    ("KOA", KOA),    # Kepler Optimization (2024)
    ("SBOA", SBOA),  # Secretary Bird Optimization (2024)
    ("GMO", GMO),    # Geometric Mean Optimizer (2024)
    ("FFO", FFO),    # Fennec Fox Optimization (2024)
]

run_experiment(
    algorithms=algorithms,
    benchmark_suites=[get_classical_suite()],
    output_dir="output_2024",
    pop_size=50, max_iter=300, dim=30, n_runs=30,
)

Example 4: Enhancement Analysis Pipeline

from heurilab.analyzer import enhance, cec2017_benchmarks
from heurilab.algorithms import PSO

# Step 1: Quick diagnostic (6 built-in tests)
result = enhance(
    algorithm=("PSO", PSO),
    output_dir="analysis/diagnostic",
    pop_size=50,
    max_iter=200,
    n_runs=10,
)
print(f"Overall Score: {result['scores']['overall']}/100")
print(f"Weaknesses: {result['weaknesses']}")

# Step 2: CEC 2017 deep analysis
result = enhance(
    algorithm=("PSO", PSO),
    output_dir="analysis/cec2017",
    benchmarks=cec2017_benchmarks(dim=30),
    pop_size=30,
    max_iter=500,
    n_runs=10,
)

---

🔬 Creating Custom Algorithms

Create your own algorithm in minutes:

import numpy as np
from heurilab.algorithms.base import _Base

class MyOptimizer(_Base):
    def optimize(self):
        # Initialize population
        X = self._init_pop()                              # shape: (pop_size, dim)
        fitness = np.array([self._eval(X[i]) for i in range(self.pop_size)])

        # Track best
        best_idx = np.argmin(fitness)
        best = X[best_idx].copy()
        best_fit = fitness[best_idx]
        convergence = [best_fit]

        for t in range(self.max_iter):
            for i in range(self.pop_size):
                # --- Your update logic here ---
                new_x = self._clip(X[i] + np.random.randn(self.dim) * 0.1)
                new_fit = self._eval(new_x)
                if new_fit < fitness[i]:
                    X[i] = new_x
                    fitness[i] = new_fit
                    if new_fit < best_fit:
                        best = new_x.copy()
                        best_fit = new_fit
            convergence.append(best_fit)

        return best, best_fit, convergence

Key rules:

1. Use self._init_pop() for random initialization
2. Use self._eval(x) instead of self.obj_func(x) directly (enables tracking)
3. Use self._clip(x) for boundary enforcement
4. Return (best_solution, best_fitness, convergence_list)
5. Convergence list should have max_iter + 1 entries (initial + one per iteration)

Then use it:

from heurilab import run_experiment, get_classical_suite
from heurilab.analyzer import enhance
from heurilab.algorithms import PSO, GWO

# Enhancement analysis
result = enhance(("MyOpt", MyOptimizer))

# Full experiment
run_experiment(
    algorithms=[("MyOpt", MyOptimizer), ("PSO", PSO), ("GWO", GWO)],
    benchmark_suites=[get_classical_suite()],
    output_dir="output",
)

---

📋 Dependencies

Package	Purpose
numpy	Numerical computation
scipy	Statistical tests (Wilcoxon, Friedman)
matplotlib	Convergence curves, box plots, radar charts
openpyxl	Styled Excel workbook generation
tqdm	Progress bars during experiments

All dependencies are auto-installed via pip install heurilab.

---

🤝 Contributing

Contributions are welcome! Areas for contribution:

• Additional optimization algorithms
• More benchmark functions (CEC 2019, CEC 2022)
• Performance optimizations
• Documentation improvements
• Bug fixes

See CONTRIBUTING.md for detailed guidelines.

---

💬 Community

• 🐛 Found a bug? Open an issue
• 💡 Have an idea? Request a feature
• 💬 Questions? Join discussions
• 📧 Email: arartawil@gmail.com

---

🏆 Used By

HeuriLab is trusted by researchers and engineers worldwide:

• 🎓 Universities: Research institutions using HeuriLab for optimization research
• 🏢 Industry: Engineering teams leveraging metaheuristics for real-world problems
• 📊 Publications: Growing number of papers use HeuriLab for benchmarking

Using HeuriLab? Let us know!

---

📄 Citation

If you use HeuriLab in your research, please cite:

@software{heurilab2025,
  title={HeuriLab: A Comprehensive Python Framework for Metaheuristic Optimization},
  author={Artawil, A. R.},
  year={2025},
  url={https://github.com/arartawil/heurilab},
  note={Python package with 100 metaheuristic algorithms and automated experiment runner}
}

---

📄 License

This project is licensed under the MIT License - see the LICENSE file for details.

---

🙏 Acknowledgments

• The original authors of all 100 metaheuristic algorithms
• NumPy, SciPy, Matplotlib teams for scientific computing tools
• The metaheuristic optimization research community

---

🌟 Star History

If HeuriLab helps your research, please ⭐ star the repo and cite our work!

---

HeuriLab — The complete laboratory for metaheuristic optimization research 🚀