diff --git a/lib/solvers/TraceCleanupSolver/simplifyPath.ts b/lib/solvers/TraceCleanupSolver/simplifyPath.ts
index e17bfb52..647cc24b 100644
--- a/lib/solvers/TraceCleanupSolver/simplifyPath.ts
+++ b/lib/solvers/TraceCleanupSolver/simplifyPath.ts
@@ -1,41 +1,30 @@
 import type { Point } from "graphics-debug"
-import {
-  isHorizontal,
-  isVertical,
-} from "lib/solvers/SchematicTraceLinesSolver/SchematicTraceSingleLineSolver2/collisions"
+
+const isCollinear = (a: Point, b: Point, c: Point): boolean => {
+  const area = Math.abs(
+    a.x * (b.y - c.y) + b.x * (c.y - a.y) + c.x * (a.y - b.y),
+  )
+  return area < 0.1
+}
 
 export const simplifyPath = (path: Point[]): Point[] => {
   if (path.length < 3) return path
-  const newPath: Point[] = [path[0]]
+
+  const finalPath: Point[] = [path[0]]
+
   for (let i = 1; i < path.length - 1; i++) {
-    const p1 = newPath[newPath.length - 1]
+    const p1 = finalPath[finalPath.length - 1]
     const p2 = path[i]
     const p3 = path[i + 1]
-    if (
-      (isVertical(p1, p2) && isVertical(p2, p3)) ||
-      (isHorizontal(p1, p2) && isHorizontal(p2, p3))
-    ) {
-      continue
-    }
-    newPath.push(p2)
-  }
-  newPath.push(path[path.length - 1])
 
-  if (newPath.length < 3) return newPath
-  const finalPath: Point[] = [newPath[0]]
-  for (let i = 1; i < newPath.length - 1; i++) {
-    const p1 = finalPath[finalPath.length - 1]
-    const p2 = newPath[i]
-    const p3 = newPath[i + 1]
-    if (
-      (isVertical(p1, p2) && isVertical(p2, p3)) ||
-      (isHorizontal(p1, p2) && isHorizontal(p2, p3))
-    ) {
+    if (isCollinear(p1, p2, p3)) {
       continue
     }
+
     finalPath.push(p2)
   }
-  finalPath.push(newPath[newPath.length - 1])
+
+  finalPath.push(path[path.length - 1])
 
   return finalPath
 }
diff --git a/tests/examples/__snapshots__/example01.snap.svg b/tests/examples/__snapshots__/example01.snap.svg
index 293bf05a..4d6fea96 100644
--- a/tests/examples/__snapshots__/example01.snap.svg
+++ b/tests/examples/__snapshots__/example01.snap.svg
@@ -2,97 +2,79 @@
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+x-" data-x="-0.8" data-y="0.2" cx="422.5742574257426" cy="303.36633663366337" r="3" fill="hsl(319, 100%, 50%, 0.8)" />
   </g>
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-x-" data-x="-0.8" data-y="0" cx="422.5742574257426" cy="300.5940594059406" r="3" fill="hsl(320, 100%, 50%, 0.8)" />
+x-" data-x="-0.8" data-y="0" cx="422.5742574257426" cy="325.54455445544556" r="3" fill="hsl(320, 100%, 50%, 0.8)" />
   </g>
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+x-" data-x="-0.8" data-y="-0.2" cx="422.5742574257426" cy="347.72277227722776" r="3" fill="hsl(321, 100%, 50%, 0.8)" />
   </g>
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+x+" data-x="0.8" data-y="-0.2" cx="600" cy="347.72277227722776" r="3" fill="hsl(322, 100%, 50%, 0.8)" />
   </g>
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@@ -127,7 +109,7 @@ y-" data-x="-4" data-y="-0.5" cx="67.72277227722776" cy="356.03960396039605" r="
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         "b": 0,
         "d": -110.89108910891089,
-        "f": 300.5940594059406
+        "f": 325.54455445544556
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       // Manually invert and apply the affine transform
       // Since we only use translate and scale, we can directly compute:
diff --git a/tests/examples/__snapshots__/example02.snap.svg b/tests/examples/__snapshots__/example02.snap.svg
index 39a46c70..6d8e553f 100644
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       // Calculate real coordinates using inverse transformation
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-        "a": 84.63476411626253,
+        "a": 82.3310296204624,
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+        "d": -82.3310296204624,
+        "f": 332.3084889282591
       };
       // Manually invert and apply the affine transform
       // Since we only use translate and scale, we can directly compute:
diff --git a/tests/examples/__snapshots__/example06.snap.svg b/tests/examples/__snapshots__/example06.snap.svg
index c3cee17d..dd0bd000 100644
--- a/tests/examples/__snapshots__/example06.snap.svg
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@@ -67,7 +67,7 @@ x+" data-x="3.5512093000000005" data-y="0.00027334999999961695" cx="600" cy="318
         "e": 331.3505966903073,
         "b": 0,
         "d": -75.65011820330967,
-        "f": 318.8759111111111
+        "f": 328.70977210401884
       };
       // Manually invert and apply the affine transform
       // Since we only use translate and scale, we can directly compute:
diff --git a/tests/examples/__snapshots__/example07.snap.svg b/tests/examples/__snapshots__/example07.snap.svg
index bf70ce90..50024b49 100644
--- a/tests/examples/__snapshots__/example07.snap.svg
+++ b/tests/examples/__snapshots__/example07.snap.svg
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+    <rect data-type="rect" data-label="schematic_component_2" data-x="1.7577928249999983" data-y="1.7512907000000002" x="560.6812669152125" y="132.95458676281862" width="39.31873308478748" height="137.37032647350043" fill="hsl(24, 100%, 50%, 0.8)" stroke="black" stroke-width="0.008026343303571421" />
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   <g id="crosshair" style="display: none">
     <line id="crosshair-h" y1="0" y2="640" stroke="#666" stroke-width="0.5" />
@@ -172,12 +142,12 @@ y-" data-x="1.757519574999999" data-y="1.2" cx="547.3539750075635" cy="270.41751
 
       // Calculate real coordinates using inverse transformation
       const matrix = {
-        "a": 116.99116664985878,
+        "a": 124.58973684255912,
         "c": 0,
-        "e": 341.7397095183496,
+        "e": 361.3376879671179,
         "b": 0,
-        "d": -116.99116664985878,
-        "f": 410.8069115268456
+        "d": -124.58973684255912,
+        "f": 419.83259744739
       };
       // Manually invert and apply the affine transform
       // Since we only use translate and scale, we can directly compute:
diff --git a/tests/examples/__snapshots__/example12.snap.svg b/tests/examples/__snapshots__/example12.snap.svg
index 164322ef..197a1b07 100644
--- a/tests/examples/__snapshots__/example12.snap.svg
+++ b/tests/examples/__snapshots__/example12.snap.svg
@@ -29,10 +29,10 @@ x-" data-x="2.3099999999999996" data-y="0.01999999999999985" cx="424.92239467849
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+    <circle data-type="point" data-label="" data-x="1.6049999999999998" data-y="0.2" cx="345.34166498689774" cy="207.43247369481963" r="3" fill="hsl(40, 100%, 50%, 0.9)" />
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+    <circle data-type="point" data-label="" data-x="1.3" data-y="0" cx="310.9131223543641" cy="230.00856722434997" r="3" fill="hsl(40, 100%, 50%, 0.9)" />
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@@ -56,7 +56,7 @@ x+" data-x="3.41" data-y="0.01999999999999985" cx="549.090909090909" cy="227.750
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+    <polyline data-points="1.1,0.2 2.1099999999999994,0.2 2.3099999999999996,0.01999999999999985" data-type="line" data-label="" points="288.33702882483374,207.43247369481963 402.34630114896186,207.43247369481963 424.9223946784922,227.75095787139696" fill="none" stroke="purple" stroke-width="1" />
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@@ -74,10 +74,10 @@ x+" data-x="3.41" data-y="0.01999999999999985" cx="549.090909090909" cy="227.750
     <rect data-type="rect" data-label="schematic_component_2" data-x="2.86" data-y="0.01999999999999985" x="424.9223946784922" y="180.34116145938327" width="124.16851441241681" height="94.81959282402738" fill="hsl(24, 100%, 50%, 0.8)" stroke="black" stroke-width="0.008858928571428573" />
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+    <rect data-type="rect" data-label="" data-x="1.6049999999999998" data-y="0.42500000000000004" x="334.0536182221326" y="156.6362632533764" width="22.57609352953034" height="50.796210441443236" fill="hsl(40, 100%, 50%, 0.35)" stroke="black" stroke-width="0.008858928571428573" />
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+    <rect data-type="rect" data-label="" data-x="1.5250000000000001" data-y="0" x="310.9131223543641" y="218.7205204595848" width="50.796210441443236" height="22.57609352953034" fill="hsl(40, 100%, 50%, 0.35)" stroke="black" stroke-width="0.008858928571428573" />
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diff --git a/tests/examples/__snapshots__/example14.snap.svg b/tests/examples/__snapshots__/example14.snap.svg
deleted file mode 100644
index 6ed20775..00000000
--- a/tests/examples/__snapshots__/example14.snap.svg
+++ /dev/null
@@ -1,213 +0,0 @@
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       // Calculate real coordinates using inverse transformation
       const matrix = {
-        "a": 49.31748128577717,
+        "a": 51.352590554791355,
         "c": 0,
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+        "e": 422.44841815680877,
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-        "f": 392.86657859973576
+        "d": -51.352590554791355,
+        "f": 384.31911966987616
       };
       // Manually invert and apply the affine transform
       // Since we only use translate and scale, we can directly compute:
diff --git a/tests/examples/__snapshots__/example16.snap.svg b/tests/examples/__snapshots__/example16.snap.svg
index 24745c44..1bcf4a36 100644
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       // Manually invert and apply the affine transform
       // Since we only use translate and scale, we can directly compute:
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diff --git a/tests/examples/__snapshots__/example18.snap.svg b/tests/examples/__snapshots__/example18.snap.svg
index d3b910b0..1fc77fa0 100644
--- a/tests/examples/__snapshots__/example18.snap.svg
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       // Calculate real coordinates using inverse transformation
       const matrix = {
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+        "a": 99.90789205979887,
         "c": 0,
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-        "f": 304.3329417421398
+        "d": -99.90789205979887,
+        "f": 270.04605397010056
       };
       // Manually invert and apply the affine transform
       // Since we only use translate and scale, we can directly compute:
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index 1ae98880..f1975163 100644
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index ba057c2c..1fc77fa0 100644
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+        "d": -99.90789205979887,
+        "f": 270.04605397010056
       };
       // Manually invert and apply the affine transform
       // Since we only use translate and scale, we can directly compute:
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index 5e7e7ceb..e059a481 100644
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       // Calculate real coordinates using inverse transformation
       const matrix = {
-        "a": 63.88318503308236,
+        "a": 61.76924773880433,
         "c": 0,
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-        "f": 265.69929272188
+        "d": -61.76924773880433,
+        "f": 273.67306419589676
       };
       // Manually invert and apply the affine transform
       // Since we only use translate and scale, we can directly compute:
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index 7790385c..57b50e9b 100644
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         "e": 174.40000000000003,
         "b": 0,
         "d": -112,
-        "f": 435.08000000000004
+        "f": 421.08
       };
       // Manually invert and apply the affine transform
       // Since we only use translate and scale, we can directly compute:
diff --git a/tests/examples/__snapshots__/example23.snap.svg b/tests/examples/__snapshots__/example23.snap.svg
index 2da4a330..b8f880e7 100644
--- a/tests/examples/__snapshots__/example23.snap.svg
+++ b/tests/examples/__snapshots__/example23.snap.svg
@@ -2,80 +2,80 @@
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+    <rect data-type="rect" data-label="" data-x="1.4260000000000002" data-y="0.30000000000000004" x="308.91200000000003" y="163.48" width="50.400000000000034" height="22.400000000000006" fill="hsl(40, 100%, 50%, 0.35)" stroke="black" stroke-width="0.008928571428571428" />
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         "b": 0,
         "d": -112,
-        "f": 194.28
+        "f": 208.28
       };
       // Manually invert and apply the affine transform
       // Since we only use translate and scale, we can directly compute:
diff --git a/tests/examples/__snapshots__/example25.snap.svg b/tests/examples/__snapshots__/example25.snap.svg
index ea060fe1..f3466789 100644
--- a/tests/examples/__snapshots__/example25.snap.svg
+++ b/tests/examples/__snapshots__/example25.snap.svg
@@ -64,7 +64,7 @@ x+" data-x="0.6" data-y="-2.8" cx="363.855421686747" cy="416.14457831325296" r="
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@@ -79,10 +79,10 @@ x+" data-x="0.6" data-y="-2.8" cx="363.855421686747" cy="416.14457831325296" r="
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diff --git a/tests/examples/__snapshots__/example26.snap.svg b/tests/examples/__snapshots__/example26.snap.svg
index c24bd617..fca3613c 100644
--- a/tests/examples/__snapshots__/example26.snap.svg
+++ b/tests/examples/__snapshots__/example26.snap.svg
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       // Calculate real coordinates using inverse transformation
       const matrix = {
-        "a": 180.6451612903226,
+        "a": 157.74647887323945,
         "c": 0,
-        "e": 292.90322580645164,
+        "e": 296.3380281690141,
         "b": 0,
-        "d": -180.6451612903226,
-        "f": 310.96774193548384
+        "d": -157.74647887323945,
+        "f": 347.6056338028169
       };
       // Manually invert and apply the affine transform
       // Since we only use translate and scale, we can directly compute: