diff --git a/lib/checks/mobile/target-size-evaluate.js b/lib/checks/mobile/target-size-evaluate.js
index a0224c8ad2..3d692606e3 100644
--- a/lib/checks/mobile/target-size-evaluate.js
+++ b/lib/checks/mobile/target-size-evaluate.js
@@ -10,7 +10,7 @@ import {
  * Determine if an element has a minimum size, taking into account
  * any elements that may obscure it.
  */
-export default function targetSize(node, options, vNode) {
+export default function targetSizeEvaluate(node, options, vNode) {
   const minSize = options?.minSize || 24;
   const nodeRect = vNode.boundingClientRect;
   const hasMinimumSize = rectHasMinimumSize.bind(null, minSize);
@@ -21,8 +21,20 @@ export default function targetSize(node, options, vNode) {
     nearbyElms
   );
 
+  // Target has overflowing content;
+  //   and is either not fully obscured (so may not pass),
+  //   or has insufficient space (and so may not fail)
+  if (
+    overflowingContent.length &&
+    (fullyObscuringElms.length || !hasMinimumSize(nodeRect))
+  ) {
+    this.data({ minSize, messageKey: 'contentOverflow' });
+    this.relatedNodes(mapActualNodes(overflowingContent));
+    return undefined;
+  }
+
   // Target is fully obscured and no overflowing content (which may not be obscured)
-  if (fullyObscuringElms.length && !overflowingContent.length) {
+  if (fullyObscuringElms.length) {
     this.relatedNodes(mapActualNodes(fullyObscuringElms));
     this.data({ messageKey: 'obscured' });
     return true;
@@ -32,31 +44,34 @@ export default function targetSize(node, options, vNode) {
   const negativeOutcome = isInTabOrder(vNode) ? false : undefined;
 
   // Target is too small, and has no overflowing content that increases the size
-  if (!hasMinimumSize(nodeRect) && !overflowingContent.length) {
+  if (!hasMinimumSize(nodeRect)) {
     this.data({ minSize, ...toDecimalSize(nodeRect) });
     return negativeOutcome;
   }
 
   // Figure out the largest space on the target, not obscured by other widgets
   const obscuredWidgets = filterFocusableWidgets(partialObscuringElms);
+
+  // Target not obscured and has sufficient space
+  if (!obscuredWidgets.length) {
+    this.data({ minSize, ...toDecimalSize(nodeRect) });
+    return true;
+  }
+
   const largestInnerRect = getLargestUnobscuredArea(vNode, obscuredWidgets);
+  if (!largestInnerRect) {
+    this.data({ minSize, messageKey: 'tooManyRects' });
+    return undefined;
+  }
 
-  // Target has overflowing content;
-  //   and is either not fully obscured (so may not pass),
-  //   or has insufficient space (and so may not fail)
-  if (overflowingContent.length) {
-    if (
-      fullyObscuringElms.length ||
-      !hasMinimumSize(largestInnerRect || nodeRect)
-    ) {
+  // Target is obscured, and insufficient space is left
+  if (!hasMinimumSize(largestInnerRect)) {
+    if (overflowingContent.length) {
       this.data({ minSize, messageKey: 'contentOverflow' });
       this.relatedNodes(mapActualNodes(overflowingContent));
       return undefined;
     }
-  }
 
-  // Target is obscured, and insufficient space is left
-  if (obscuredWidgets.length !== 0 && !hasMinimumSize(largestInnerRect)) {
     const allTabbable = obscuredWidgets.every(isInTabOrder);
     const messageKey = `partiallyObscured${allTabbable ? '' : 'NonTabbable'}`;
 
@@ -65,7 +80,7 @@ export default function targetSize(node, options, vNode) {
     return allTabbable ? negativeOutcome : undefined;
   }
 
-  // Target not obscured, or has sufficient space
+  // Target has sufficient space
   this.data({ minSize, ...toDecimalSize(largestInnerRect || nodeRect) });
   this.relatedNodes(mapActualNodes(obscuredWidgets));
   return true;
@@ -106,13 +121,14 @@ function filterByElmsOverlap(vNode, nearbyElms) {
 // Find areas of the target that are not obscured
 function getLargestUnobscuredArea(vNode, obscuredNodes) {
   const nodeRect = vNode.boundingClientRect;
-  if (obscuredNodes.length === 0) {
-    return null;
-  }
   const obscuringRects = obscuredNodes.map(
     ({ boundingClientRect: rect }) => rect
   );
   const unobscuredRects = splitRects(nodeRect, obscuringRects);
+  if (unobscuredRects.length === 0) {
+    return null;
+  }
+
   // Of the unobscured inner rects, work out the largest
   return getLargestRect(unobscuredRects);
 }
diff --git a/lib/checks/mobile/target-size.json b/lib/checks/mobile/target-size.json
index 0fff548a65..649d075ae8 100644
--- a/lib/checks/mobile/target-size.json
+++ b/lib/checks/mobile/target-size.json
@@ -19,7 +19,8 @@
         "default": "Element with negative tabindex has insufficient size (${data.width}px by ${data.height}px, should be at least ${data.minSize}px by ${data.minSize}px). Is this a target?",
         "contentOverflow": "Element size could not be accurately determined due to overflow content",
         "partiallyObscured": "Element with negative tabindex has insufficient size because it is partially obscured (smallest space is ${data.width}px by ${data.height}px, should be at least ${data.minSize}px by ${data.minSize}px). Is this a target?",
-        "partiallyObscuredNonTabbable": "Target has insufficient size because it is partially obscured by a neighbor with negative tabindex (smallest space is ${data.width}px by ${data.height}px, should be at least ${data.minSize}px by ${data.minSize}px). Is the neighbor a target?"
+        "partiallyObscuredNonTabbable": "Target has insufficient size because it is partially obscured by a neighbor with negative tabindex (smallest space is ${data.width}px by ${data.height}px, should be at least ${data.minSize}px by ${data.minSize}px). Is the neighbor a target?",
+        "tooManyRects": "Could not get the target size because there are too many overlapping elements"
       }
     }
   }
diff --git a/lib/commons/math/split-rects.js b/lib/commons/math/split-rects.js
index c7d45bafda..ca4ef232a6 100644
--- a/lib/commons/math/split-rects.js
+++ b/lib/commons/math/split-rects.js
@@ -13,6 +13,13 @@ export default function splitRects(outerRect, overlapRects) {
     uniqueRects = uniqueRects.reduce((rects, inputRect) => {
       return rects.concat(splitRect(inputRect, overlapRect));
     }, []);
+
+    // exit early if we get too many rects that it starts causing
+    // a performance bottleneck
+    // @see https://github.com/dequelabs/axe-core/issues/4359
+    if (uniqueRects.length > 4000) {
+      return [];
+    }
   }
   return uniqueRects;
 }
diff --git a/locales/_template.json b/locales/_template.json
index 371653ca9b..ef56f9abdf 100644
--- a/locales/_template.json
+++ b/locales/_template.json
@@ -885,7 +885,8 @@
         "default": "Element with negative tabindex has insufficient size (${data.width}px by ${data.height}px, should be at least ${data.minSize}px by ${data.minSize}px). Is this a target?",
         "contentOverflow": "Element size could not be accurately determined due to overflow content",
         "partiallyObscured": "Element with negative tabindex has insufficient size because it is partially obscured (smallest space is ${data.width}px by ${data.height}px, should be at least ${data.minSize}px by ${data.minSize}px). Is this a target?",
-        "partiallyObscuredNonTabbable": "Target has insufficient size because it is partially obscured by a neighbor with negative tabindex (smallest space is ${data.width}px by ${data.height}px, should be at least ${data.minSize}px by ${data.minSize}px). Is the neighbor a target?"
+        "partiallyObscuredNonTabbable": "Target has insufficient size because it is partially obscured by a neighbor with negative tabindex (smallest space is ${data.width}px by ${data.height}px, should be at least ${data.minSize}px by ${data.minSize}px). Is the neighbor a target?",
+        "tooManyRects": "Could not get the target size because there are too many overlapping elements"
       }
     },
     "header-present": {
diff --git a/test/checks/mobile/target-offset.js b/test/checks/mobile/target-offset.js
index f160baa10f..47ff219834 100644
--- a/test/checks/mobile/target-offset.js
+++ b/test/checks/mobile/target-offset.js
@@ -120,6 +120,36 @@ describe('target-offset tests', () => {
     assert.deepEqual(relatedIds, ['#left', '#right']);
   });
 
+  it('returns false if there are too many focusable widgets', () => {
+    let html = '';
+    for (let i = 0; i < 100; i++) {
+      html += `
+        <tr>
+          <td><a href="#">Hello</a></td>
+          <td>Hello</td>
+          <td>Hello</td>
+          <td>Hello</td>
+          <td>Hello</td>
+          <td>Hello</td>
+          <td>Hello</td>
+          <td><button>view</button></td>
+          <td><button>download</button></td>
+          <td><button>expand</button></td>
+        </tr>
+      `;
+    }
+    const checkArgs = checkSetup(`
+      <div id="target" role="tabpanel" tabindex="0">
+        <table id="tab-table">${html}</table>
+      </div>
+    `);
+    assert.isFalse(checkEvaluate.apply(checkContext, checkArgs));
+    assert.deepEqual(checkContext._data, {
+      closestOffset: 0,
+      minOffset: 24
+    });
+  });
+
   describe('when neighbors are focusable but not tabbable', () => {
     it('returns undefined if all neighbors are not tabbable', () => {
       const checkArgs = checkSetup(
diff --git a/test/checks/mobile/target-size.js b/test/checks/mobile/target-size.js
index f01a05841b..6d34482246 100644
--- a/test/checks/mobile/target-size.js
+++ b/test/checks/mobile/target-size.js
@@ -167,6 +167,36 @@ describe('target-size tests', function () {
         assert.deepEqual(elmIds(checkContext._relatedNodes), ['#obscurer']);
       });
 
+      it('returns undefined if there are too many focusable widgets', () => {
+        let html = '';
+        for (let i = 0; i < 100; i++) {
+          html += `
+            <tr>
+              <td><a href="#">Hello</a></td>
+              <td>Hello</td>
+              <td>Hello</td>
+              <td>Hello</td>
+              <td>Hello</td>
+              <td>Hello</td>
+              <td>Hello</td>
+              <td><button>view</button></td>
+              <td><button>download</button></td>
+              <td><button>expand</button></td>
+            </tr>
+          `;
+        }
+        const checkArgs = checkSetup(`
+          <div id="target" role="tabpanel" tabindex="0">
+            <table id="tab-table">${html}</table>
+          </div>
+        `);
+        assert.isUndefined(check.evaluate.apply(checkContext, checkArgs));
+        assert.deepEqual(checkContext._data, {
+          messageKey: 'tooManyRects',
+          minSize: 24
+        });
+      });
+
       describe('for obscured targets with insufficient space', () => {
         it('returns false if all elements are tabbable', function () {
           var checkArgs = checkSetup(
diff --git a/test/commons/math/split-rects.js b/test/commons/math/split-rects.js
index 0680b44822..9463a7fbde 100644
--- a/test/commons/math/split-rects.js
+++ b/test/commons/math/split-rects.js
@@ -16,6 +16,15 @@ describe('splitRects', () => {
     assert.deepEqual(rects[0], rectA);
   });
 
+  it('returns empty array if there are too many overlapping rects', () => {
+    const rects = [];
+    for (let i = 0; i < 100; i++) {
+      rects.push(new DOMRect(i, i, 50, 50));
+    }
+    const rectA = new DOMRect(0, 0, 1000, 1000);
+    assert.lengthOf(splitRects(rectA, rects), 0);
+  });
+
   describe('with one overlapping rect', () => {
     it('returns one rect if overlaps covers two corners', () => {
       const rectA = new DOMRect(0, 0, 100, 50);
diff --git a/test/integration/full/target-size/too-many-rects.html b/test/integration/full/target-size/too-many-rects.html
new file mode 100644
index 0000000000..4ce85fd174
--- /dev/null
+++ b/test/integration/full/target-size/too-many-rects.html
@@ -0,0 +1,53 @@
+<!doctype html>
+<html lang="en">
+  <head>
+    <title>Target-size too many rects Test</title>
+    <link
+      rel="stylesheet"
+      type="text/css"
+      href="/node_modules/mocha/mocha.css"
+    />
+    <script src="/node_modules/mocha/mocha.js"></script>
+    <script src="/node_modules/chai/chai.js"></script>
+    <script src="/axe.js"></script>
+    <script>
+      mocha.setup({
+        timeout: 10000,
+        ui: 'bdd'
+      });
+      var assert = chai.assert;
+    </script>
+  </head>
+  <body>
+    <main id="mocha"></main>
+
+    <section id="incomplete">
+      <div id="incomplete-many-rects" role="tabpanel" tabindex="0">
+        <table id="tab-table"></table>
+      </div>
+    </section>
+
+    <script>
+      let html = '';
+      for (let i = 0; i < 100; i++) {
+        html += `
+        <tr>
+          <td><a href="#">Hello</a></td>
+          <td>Hello</td>
+          <td>Hello</td>
+          <td>Hello</td>
+          <td>Hello</td>
+          <td>Hello</td>
+          <td>Hello</td>
+          <td><button>view</button></td>
+          <td><button>download</button></td>
+          <td><button>expand</button></td>
+        </tr>`;
+      }
+      document.querySelector('#tab-table').innerHTML = html;
+    </script>
+    <script src="/test/testutils.js"></script>
+    <script src="too-many-rects.js"></script>
+    <script src="/test/integration/adapter.js"></script>
+  </body>
+</html>
diff --git a/test/integration/full/target-size/too-many-rects.js b/test/integration/full/target-size/too-many-rects.js
new file mode 100644
index 0000000000..d1364b0d32
--- /dev/null
+++ b/test/integration/full/target-size/too-many-rects.js
@@ -0,0 +1,36 @@
+describe('target-size too many rects test', () => {
+  'use strict';
+  let results;
+
+  before(done => {
+    axe.testUtils.awaitNestedLoad(() => {
+      const options = {
+        runOnly: ['target-size'],
+        elementRef: true
+      };
+      const context = {
+        // ignore the incomplete table results
+        exclude: 'table tr'
+      };
+      axe.run(context, options, (err, r) => {
+        if (err) {
+          done(err);
+        }
+        results = r;
+        console.log(results);
+        done();
+      });
+    });
+  });
+
+  it('incompletes with too many rects', () => {
+    const incompleteNodes = results.incomplete[0]
+      ? results.incomplete[0].nodes
+      : [];
+    assert.lengthOf(incompleteNodes, 1);
+    assert.include(
+      incompleteNodes[0].element,
+      document.querySelector('#incomplete-many-rects')
+    );
+  });
+});