diff --git a/.github/workflows/codspeed.yml b/.github/workflows/codspeed.yml
new file mode 100644
index 0000000..4eb4f77
--- /dev/null
+++ b/.github/workflows/codspeed.yml
@@ -0,0 +1,28 @@
+name: CodSpeed
+
+on:
+  push:
+    branches: [main]
+  pull_request:
+  workflow_dispatch:
+
+jobs:
+  benchmarks:
+    runs-on: ubuntu-latest
+    timeout-minutes: 30
+    steps:
+      - uses: actions/checkout@v7
+        with:
+          show-progress: false
+
+      - uses: astral-sh/setup-uv@v5
+
+      - name: Sync test deps
+        run: uv sync --extra test
+
+      - name: Run benchmarks
+        uses: CodSpeedHQ/action@v4
+        with:
+          mode: simulation
+          token: ${{ secrets.CODSPEED_TOKEN }}
+          run: uv run pytest tests/benchmarks/ --codspeed
diff --git a/pyproject.toml b/pyproject.toml
index 78f6a8e..ec6e215 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -46,7 +46,7 @@ Changelog = "https://delaynet.readthedocs.io/en/latest/changelog/"
 
 [project.optional-dependencies]
 lint = ["pre-commit", "ruff"]
-test = ["pytest", "pytest-cov", "coverage", "pytest-xdist"]
+test = ["pytest", "pytest-cov", "coverage", "pytest-xdist", "pytest-codspeed"]
 doc = [
     "sphinx",
     "myst-nb",
@@ -89,6 +89,15 @@ select = ["NPY201"]
 minversion = "7.0"
 addopts = "-ra"
 testpaths = ["tests"]
+filterwarnings = [
+    "error",
+    # eigenvector_centrality warns about symmetric matrix with directed=True
+    'default:Parameter .*irected.* was passed buts weight matrix is symmetric.*:UserWarning',
+    # igraph C extension runtime warnings (disconnected graphs in eigenvector centrality)
+    'default::RuntimeWarning',
+    # numpy longdouble probe warning on uncommon CPUs (e.g. CodSpeed CI runner)
+    'default:Signature.*numpy.longdouble.*does not match any known type:UserWarning',
+]
 
 [tool.coverage.run]
 branch = true
diff --git a/tests/benchmarks/__init__.py b/tests/benchmarks/__init__.py
new file mode 100644
index 0000000..e69de29
diff --git a/tests/benchmarks/conftest.py b/tests/benchmarks/conftest.py
new file mode 100644
index 0000000..646f1b6
--- /dev/null
+++ b/tests/benchmarks/conftest.py
@@ -0,0 +1,37 @@
+"""Shared fixtures and constants for benchmarks."""
+
+import numpy as np
+import pytest
+
+from delaynet.preparation.data_generator import gen_delayed_causal_network
+
+TIME_POINTS = 200
+LAG_STEPS = 3
+NODE_SIZES = [5, 10]
+
+CONTINUOUS_METRICS = ["lc", "rc", "gv"]
+
+
+def gen_continuous(n_nodes: int, rng: int = 19425) -> np.ndarray:
+    _, _, ts = gen_delayed_causal_network(
+        ts_len=TIME_POINTS, n_nodes=n_nodes, l_dens=0.3, rng=rng
+    )
+    return np.ascontiguousarray(ts.T)
+
+
+@pytest.fixture(scope="module", params=NODE_SIZES, ids=lambda n: f"nodes{n}")
+def continuous_data(request) -> np.ndarray:
+    return gen_continuous(request.param)
+
+
+def pytest_collection_modifyitems(config, items):
+    if not config.getoption("codspeed", False):
+        try:
+            from pytest_codspeed.plugin import has_benchmark_fixture
+
+            msg = pytest.mark.skip(reason="use --codspeed to run benchmarks")
+            for item in items:
+                if has_benchmark_fixture(item):
+                    item.add_marker(msg)
+        except ImportError:
+            pass
diff --git a/tests/benchmarks/test_bench_metrics.py b/tests/benchmarks/test_bench_metrics.py
new file mode 100644
index 0000000..10d1a9a
--- /dev/null
+++ b/tests/benchmarks/test_bench_metrics.py
@@ -0,0 +1,69 @@
+"""Isolated single-pair metric benchmarks (no pair-loop overhead)."""
+
+import numpy as np
+import pytest
+
+from delaynet.connectivities.continuous_ordinal_patterns import random_patterns
+from delaynet.connectivities.granger import gt_multi_lag
+from delaynet.connectivities.linear_correlation import linear_correlation
+from delaynet.connectivities.rank_correlation import rank_correlation
+from delaynet.connectivities.mutual_information import mutual_information
+from delaynet.connectivities.transfer_entropy import transfer_entropy
+from delaynet.preparation.data_generator import gen_delayed_causal_network
+
+from .conftest import LAG_STEPS
+
+_ts = np.ascontiguousarray(
+    gen_delayed_causal_network(ts_len=200, n_nodes=2, l_dens=0.5, rng=0)[2].T
+)
+TS1, TS2 = _ts[:, 0], _ts[:, 1]
+
+_disc = np.random.default_rng(0).integers(0, 4, size=(200, 2))
+DTS1, DTS2 = _disc[:, 0], _disc[:, 1]
+
+N_TESTS = 2
+
+
+@pytest.mark.benchmark(group="metrics")
+@pytest.mark.parametrize(
+    "metric_func,kwargs",
+    [
+        (linear_correlation, {}),
+        (rank_correlation, {}),
+    ],
+    ids=["lc", "rc"],
+)
+def test_continuous_metric(benchmark, metric_func, kwargs):
+    benchmark(metric_func, TS1, TS2, lag_steps=LAG_STEPS, **kwargs)
+
+
+@pytest.mark.benchmark(group="metrics")
+def test_granger_f_test(benchmark):
+    ts = gen_delayed_causal_network(ts_len=50, n_nodes=5, l_dens=0.3, rng=0)[2].T
+    ts1, ts2 = ts[:, 0], ts[:, 1]
+    benchmark(gt_multi_lag, ts1, ts2, lag_steps=LAG_STEPS)
+
+
+@pytest.mark.benchmark(group="metrics")
+def test_ordinal_patterns(benchmark):
+    ts = gen_delayed_causal_network(ts_len=50, n_nodes=5, l_dens=0.3, rng=0)[2].T
+    ts1, ts2 = ts[:, 0], ts[:, 1]
+    random_patterns(ts1, ts2, p_size=3, num_rnd_patterns=2, lag_steps=1)
+    benchmark(random_patterns, ts1, ts2, p_size=3, num_rnd_patterns=2, lag_steps=1)
+
+
+@pytest.mark.benchmark(group="metrics")
+@pytest.mark.parametrize(
+    "metric_func",
+    [mutual_information, transfer_entropy],
+    ids=["mi", "te"],
+)
+def test_discrete_metric(benchmark, metric_func):
+    benchmark(
+        metric_func,
+        DTS1,
+        DTS2,
+        approach="discrete",
+        lag_steps=LAG_STEPS,
+        n_tests=N_TESTS,
+    )
diff --git a/tests/benchmarks/test_bench_reconstruct_network.py b/tests/benchmarks/test_bench_reconstruct_network.py
new file mode 100644
index 0000000..15dbc0b
--- /dev/null
+++ b/tests/benchmarks/test_bench_reconstruct_network.py
@@ -0,0 +1,28 @@
+"""reconstruct_network benchmarks: full pipeline across metrics and sizes."""
+
+import pytest
+
+from delaynet.network_reconstruction import reconstruct_network
+
+from .conftest import LAG_STEPS, gen_continuous
+
+_RECON_METRICS = ["lc", "rc", "gc", "gv"]
+
+
+@pytest.mark.benchmark(group="reconstruct-network")
+@pytest.mark.parametrize("metric", _RECON_METRICS)
+def test_reconstruct(benchmark, continuous_data, metric):
+    benchmark(reconstruct_network, continuous_data, metric, lag_steps=LAG_STEPS)
+
+
+@pytest.mark.benchmark(group="parallel-scaling")
+@pytest.mark.parametrize("workers", [1, 2], ids=["seq", "par2"])
+def test_reconstruct_workers(benchmark, workers):
+    data = gen_continuous(5)
+    benchmark(
+        reconstruct_network,
+        data,
+        "lc",
+        lag_steps=LAG_STEPS,
+        workers=workers,
+    )
diff --git a/tests/benchmarks/test_bench_utils.py b/tests/benchmarks/test_bench_utils.py
new file mode 100644
index 0000000..4f578ea
--- /dev/null
+++ b/tests/benchmarks/test_bench_utils.py
@@ -0,0 +1,23 @@
+"""find_optimal_lag wrapper overhead, measured with a lightweight metric."""
+
+import numpy as np
+import pytest
+
+from delaynet.preparation.data_generator import gen_delayed_causal_network
+from delaynet.utils.lag_steps import find_optimal_lag
+
+from .conftest import LAG_STEPS
+
+_ts = np.ascontiguousarray(
+    gen_delayed_causal_network(ts_len=500, n_nodes=2, l_dens=0.5, rng=0)[2].T
+)
+TS1, TS2 = _ts[:, 0], _ts[:, 1]
+
+
+def _l2_metric(ts1, ts2, lag):
+    return float(np.sum((ts1[:-lag] - ts2[lag:]) ** 2))
+
+
+@pytest.mark.benchmark(group="utils")
+def test_find_optimal_lag(benchmark):
+    benchmark(find_optimal_lag, _l2_metric, TS1, TS2, list(range(1, LAG_STEPS + 1)))
diff --git a/uv.lock b/uv.lock
index 9644ad1..b35b1a4 100644
--- a/uv.lock
+++ b/uv.lock
@@ -575,6 +575,7 @@ all = [
     { name = "networkx" },
     { name = "pre-commit" },
     { name = "pytest" },
+    { name = "pytest-codspeed" },
     { name = "pytest-cov" },
     { name = "pytest-xdist" },
     { name = "ruff" },
@@ -605,6 +606,7 @@ lint = [
 test = [
     { name = "coverage" },
     { name = "pytest" },
+    { name = "pytest-codspeed" },
     { name = "pytest-cov" },
     { name = "pytest-xdist" },
 ]
@@ -626,6 +628,7 @@ requires-dist = [
     { name = "numpy" },
     { name = "pre-commit", marker = "extra == 'lint'" },
     { name = "pytest", marker = "extra == 'test'" },
+    { name = "pytest-codspeed", marker = "extra == 'test'" },
     { name = "pytest-cov", marker = "extra == 'test'" },
     { name = "pytest-xdist", marker = "extra == 'test'" },
     { name = "ruff", marker = "extra == 'lint'" },
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