diff --git a/masque/builder/planner/planner.py b/masque/builder/planner/planner.py
index 282a835..5efcaa1 100644
--- a/masque/builder/planner/planner.py
+++ b/masque/builder/planner/planner.py
@@ -32,7 +32,6 @@ from __future__ import annotations
 from collections.abc import Iterable, Mapping, Sequence
 from dataclasses import dataclass, replace
 from itertools import combinations
-from math import cos, sin
 from typing import Any, Literal
 
 import numpy
@@ -41,7 +40,7 @@ from numpy.typing import ArrayLike
 
 from ...error import BuildError, PortError
 from ...ports import Port
-from ...utils import PTypeMatch, SupportsBool, ptype_match, ptypes_compatible
+from ...utils import PTypeMatch, SupportsBool, ptype_match, ptypes_compatible, rotation_matrix_2d
 from ..tools import (
     BendOffer,
     PrimitiveKind,
@@ -579,10 +578,11 @@ class Solver:
             out_port = step.out_port
             if out_port.rotation is None:
                 raise ToolContractError('Primitive endpoints must have rotation')
-            angle_cos = cos(angle)
-            angle_sin = sin(angle)
-            x += angle_cos * float(out_port.x) - angle_sin * float(out_port.y)
-            y += angle_sin * float(out_port.x) + angle_cos * float(out_port.y)
+            rotation = rotation_matrix_2d(angle)
+            out_x = float(out_port.x)
+            out_y = float(out_port.y)
+            x += rotation[0, 0] * out_x + rotation[0, 1] * out_y
+            y += rotation[1, 0] * out_x + rotation[1, 1] * out_y
             angle += out_port.rotation + pi
             ptype = out_port.ptype
         return Port((x, y), rotation=angle - pi, ptype=ptype)
diff --git a/masque/ports.py b/masque/ports.py
index bbd18b7..552f081 100644
--- a/masque/ports.py
+++ b/masque/ports.py
@@ -574,10 +574,10 @@ class PortList(metaclass=ABCMeta):
                 raise PortError(msg)
 
         translations = a_offsets - b_offsets
-        if not numpy.allclose(translations, 0):
+        if not numpy.allclose(a_offsets, b_offsets):
             msg = 'Port translations do not match:\n'
             for nn, (kk, vv) in enumerate(connections.items()):
-                if not numpy.allclose(translations[nn], 0):
+                if not numpy.allclose(a_offsets[nn], b_offsets[nn]):
                     msg += f'{kk} | {translations[nn]} | {vv}\n'
             raise PortError(msg)
 
diff --git a/masque/test/test_pather_trace_into.py b/masque/test/test_pather_trace_into.py
index 9e5e268..48ab125 100644
--- a/masque/test/test_pather_trace_into.py
+++ b/masque/test/test_pather_trace_into.py
@@ -113,6 +113,22 @@ def test_pather_trace_into_shapes() -> None:
     assert numpy.isclose(p.pattern.ports['I'].rotation, pi / 2)
 
 
+def test_pather_trace_into_large_composed_manhattan_route_plugs() -> None:
+    p = Pather(
+        Library(),
+        tools=PathTool(layer='M1', width=1000, ptype='wire'),
+        render='deferred',
+        )
+    p.ports['src'] = Port((123.25, 456.75), rotation=0, ptype='wire')
+    p.ports['dst'] = Port((-99_999_876.75, 20_000_456.75), rotation=0, ptype='wire')
+
+    p.trace_into('src', 'dst')
+
+    assert 'src' not in p.ports
+    assert 'dst' not in p.ports
+    assert [step.kind for step in p._paths['src']] == ['straight', 'bend', 'straight', 'bend', 'plug']
+
+
 def test_pather_trace_into_refines_output_adapter_route_before_plug() -> None:
     class TransitionTool(Tool):
         def primitive_offers(
diff --git a/masque/test/test_ports.py b/masque/test/test_ports.py
index f17921f..a4c560a 100644
--- a/masque/test/test_ports.py
+++ b/masque/test/test_ports.py
@@ -169,6 +169,17 @@ def test_port_list_plugged() -> None:
     assert not pl.ports  # Both should be removed
 
 
+def test_port_list_plugged_uses_coordinate_relative_tolerance() -> None:
+    pattern = Pattern(ports={
+        "A": Port((10, 10), 0),
+        "B": Port((10 + 5e-8, 10), pi),
+        })
+
+    pattern.plugged({"A": "B"})
+
+    assert not pattern.ports
+
+
 def test_port_list_plugged_ptype_compatibility_warnings(caplog: pytest.LogCaptureFixture) -> None:
     caplog.set_level("WARNING", logger="masque.ports")