Two canonical optimization benchmarks in a single runnable example:
- ZDT1 (Zitzler-Deb-Thiele 1): 30-D, two minimization objectives,
closed-form Pareto front \\(f_2 = 1 - \\sqrt{f_1}\\) for
\\(f_1 \\in [0, 1]\\). Solved with NSGA-II.
- Rastrigin: highly multimodal single-objective, global minimum
\\(f = 0\\) at the origin. Solved with DE.
Both are public-domain mathematical formulas. Implemented as Problem
impls in examples/benchmarks.rs; main() runs each, prints front /
best, and (for ZDT1) reports the mean L2 distance from the known
analytical Pareto front so the example doubles as a sanity check on
solution quality.
The three runnable examples called out in spec §18.5 / §19. All open
with `use heuropt::prelude::*;` so they double as a check that the
prelude is sufficient on its own:
- toy_nsga2.rs: Schaffer N.1 solved with NSGA-II.
- random_search.rs: 2D sphere solved with RandomSearch.
- custom_optimizer.rs: a minimal hill-climber implementing
`Optimizer<P>` directly, demonstrating spec §2.3.