{"id":26011,"date":"2025-05-23T10:18:13","date_gmt":"2025-05-23T02:18:13","guid":{"rendered":"https:\/\/aif.amtbbs.org\/?p=26011"},"modified":"2025-05-23T10:18:13","modified_gmt":"2025-05-23T02:18:13","slug":"%e8%bf%9b%e5%8c%96%e6%99%ba%e8%83%bd%e4%bd%93-alphaevolve%ef%bc%9a%e7%a7%91%e5%ad%a6%e5%8f%91%e7%8e%b0%e4%b8%8e%e7%ae%97%e6%b3%95%e4%bc%98%e5%8c%96%e7%9a%84%e6%96%b0%e5%bc%95%e6%93%8e","status":"publish","type":"post","link":"https:\/\/aif.amtbbs.org\/index.php\/2025\/05\/23\/26011\/","title":{"rendered":"\u8fdb\u5316\u667a\u80fd\u4f53 AlphaEvolve\uff1a\u79d1\u5b66\u53d1\u73b0\u4e0e\u7b97\u6cd5\u4f18\u5316\u7684\u65b0\u5f15\u64ce"},"content":{"rendered":"<div class=\"article-desc\">AlphaEvolve \u5f3a\u5927\u7684\u8fdb\u5316\u80fd\u529b\u548c\u667a\u80fd\u4f18\u5316\u6280\u672f\uff0c \u4e0d\u4ec5\u5728\u7406\u8bba\u7814\u7a76\u4e2d\u53d6\u5f97\u4e86\u7a81\u7834\uff0c\u66f4\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\u5c55\u73b0\u4e86\u5de8\u5927\u7684\u4ef7\u503c\u3002<\/div>\n<div id=\"postspictures\" class=\"article-content\">\n<div id=\"container\" class=\"container am-engine\" data-v-1d7a5742=\"\" data-element=\"root\">\n<p><img data-dominant-color=\"b5a2ad\" data-has-transparency=\"false\" style=\"--dominant-color: #b5a2ad;\" loading=\"lazy\" decoding=\"async\" class=\"not-transparent alignnone size-full wp-image-26013\" src=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/05\/36f89dc65b1c4f83e64612df2f655e86c93082-300x167-1.jpg\" width=\"300\" height=\"167\" alt=\"\" srcset=\"https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/05\/36f89dc65b1c4f83e64612df2f655e86c93082-300x167-1.jpg 300w, https:\/\/aiforumimage.oss-cn-shanghai.aliyuncs.com\/wp-content\/uploads\/2025\/05\/36f89dc65b1c4f83e64612df2f655e86c93082-300x167-1-150x84.jpg 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>\u5927\u5bb6\u597d\uff0c\u6211\u662f\u8086\u3007\u67d2\u3002\u4eca\u5929\uff0c\u6211\u4eec\u6765\u804a\u4e00\u4e2a\u975e\u5e38\u6709\u8da3\u4e14\u524d\u6cbf\u7684Agent\u6280\u672f\u2014\u2014AlphaEvolve\u3002\u8fd9\u662f\u4e00\u4e2a\u7531 Google DeepMind \u5f00\u53d1\u7684\u8fdb\u5316\u578b\u7f16\u7801\u667a\u80fd\u4f53\uff0c\u5b83\u901a\u8fc7\u7ed3\u5408\u5927\u578b\u8bed\u8a00\u6a21\u578b\uff08LLM\uff09\u548c\u8fdb\u5316\u7b97\u6cd5\uff0c\u4e3a\u79d1\u5b66\u53d1\u73b0\u548c\u7b97\u6cd5\u4f18\u5316\u5e26\u6765\u4e86\u53e6\u5916\u4e00\u79cd\u53ef\u80fd\u6027\u3002\u63a5\u4e0b\u6765\uff0c\u6211\u4f1a\u7528\u4e00\u4e2a\u8d2f\u7a7f\u59cb\u7ec8\u7684\u6848\u4f8b\u201c\u77e9\u9635\u4e58\u6cd5\u4f18\u5316\u201d\u6765\u5e2e\u52a9\u5927\u5bb6\u66f4\u597d\u5730\u7406\u89e3 AlphaEvolve \u7684\u5de5\u4f5c\u539f\u7406\u548c\u5f3a\u5927\u80fd\u529b\u3002<\/p>\n<h3>\u80cc\u666f\u4ecb\u7ecd<\/h3>\n<p>\u5728\u4f20\u7edf\u7684\u79d1\u5b66\u7814\u7a76\u548c\u7b97\u6cd5\u5f00\u53d1\u4e2d\uff0c\u6211\u4eec\u5e38\u5e38\u9700\u8981\u7ecf\u5386\u4e00\u4e2a\u6f2b\u957f\u800c\u8270\u96be\u7684\u8fc7\u7a0b\u3002\u4ece\u6700\u521d\u7684\u60f3\u6cd5\u840c\u751f\uff0c\u5230\u4e0d\u65ad\u7684\u63a2\u7d22\u5c1d\u8bd5\uff0c\u518d\u5230\u9762\u5bf9\u5931\u8d25\u7684\u5047\u8bbe\u8fdb\u884c\u56de\u6eaf\u8c03\u6574\uff0c\u63a5\u7740\u662f\u53cd\u590d\u7684\u5b9e\u9a8c\u9a8c\u8bc1\uff0c\u6700\u540e\u624d\u80fd\u5f97\u51fa\u53ef\u9760\u7684\u7ed3\u8bba\u3002\u8fd9\u4e2a\u8fc7\u7a0b\u4e0d\u4ec5\u8017\u65f6\u8d39\u529b\uff0c\u800c\u4e14\u5f80\u5f80\u9700\u8981\u5927\u91cf\u7684\u4e13\u4e1a\u77e5\u8bc6\u548c\u7ecf\u9a8c\u79ef\u7d2f\u3002\u7136\u800c\uff0c\u8fd1\u5e74\u6765\u968f\u7740\u5927\u578b\u8bed\u8a00\u6a21\u578b\uff08LLM\uff09\u7684\u8fc5\u731b\u53d1\u5c55\uff0c\u5229\u7528\u8fd9\u4e9b\u5f3a\u5927\u7684\u6a21\u578b\u8f85\u52a9\u79d1\u5b66\u7814\u7a76\u9010\u6e10\u6210\u4e3a\u4e00\u79cd\u65b0\u7684\u8d8b\u52bf\u3002LLM\u51ed\u501f\u5176\u5353\u8d8a\u7684\u8bed\u8a00\u7406\u89e3\u548c\u751f\u6210\u80fd\u529b\uff0c\u80fd\u591f\u5e2e\u52a9\u79d1\u5b66\u5bb6\u4eec\u66f4\u9ad8\u6548\u5730\u751f\u6210\u5047\u8bbe\u3001\u8bbe\u8ba1\u5b9e\u9a8c\uff0c\u751a\u81f3\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\u76f4\u63a5\u63d0\u4f9b\u89e3\u51b3\u65b9\u6848\uff0c\u6781\u5927\u5730\u52a0\u901f\u4e86\u79d1\u5b66\u53d1\u73b0\u7684\u8fdb\u7a0b\u3002<\/p>\n<p><img decoding=\"async\" title=\"Colourful and abstract digital landscape of code. Demonstrating peaks in high performing code.\" src=\"https:\/\/s2.51cto.com\/oss\/202505\/22\/788371a023fe7d2ce6d404697341dadcc9084b.webp\" alt=\"Colourful and abstract digital landscape of code. Demonstrating peaks in high performing code.\" data-type=\"inline\" \/><\/p>\n<p>\u6b63\u662f\u5728\u8fd9\u6837\u7684\u80cc\u666f\u4e0b\uff0cGoogle DeepMind \u7684\u7814\u7a76\u56e2\u961f\u63a8\u51fa\u4e86\u4e00\u79cd\u540d\u4e3a AlphaEvolve \u7684\u8fdb\u5316\u578b\u7f16\u7801\u667a\u80fd\u4f53\u3002\u63d0\u51fa\u8fd9\u4e2a AlphaEvolve \u5c31\u662f\u5229\u7528\u8fdb\u5316\u8ba1\u7b97\u548c\u57fa\u4e8e LLM \u7684\u4ee3\u7801\u751f\u6210\u6280\u672f\uff0c\u653b\u514b\u90a3\u4e9b\u6781\u5177\u6311\u6218\u6027\u7684\u79d1\u5b66\u548c\u5de5\u7a0b\u95ee\u9898\uff0c\u5c24\u5176\u662f\u5728\u90a3\u4e9b\u53ef\u4ee5\u901a\u8fc7\u81ea\u52a8\u8bc4\u4f30\u53d1\u73b0\u5019\u9009\u89e3\u7684\u9886\u57df\u3002AlphaEvolve \u901a\u8fc7\u534f\u8c03\u591a\u4e2a LLM \u6784\u5efa\u4e00\u4e2a\u81ea\u4e3b\u7684\u8ba1\u7b97\u6d41\u7a0b\uff0c\u4e0d\u65ad\u5730\u5bf9\u7b97\u6cd5\u8fdb\u884c\u6539\u8fdb\uff0c\u4ece\u800c\u5728\u79d1\u5b66\u53d1\u73b0\u548c\u7b97\u6cd5\u4f18\u5316\u65b9\u9762\u53d6\u5f97\u4e86\u4ee4\u4eba\u77a9\u76ee\u7684\u6210\u679c\u3002\u63a5\u4e0b\u6765\uff0c\u5c31\u8ba9\u6211\u4eec\u6df1\u5165\u63a2\u7d22 AlphaEvolve \u7684\u6838\u5fc3\u67b6\u6784\u4e0e\u539f\u7406\uff0c\u4ee5\u53ca\u5b83\u5728\u5404\u4e2a\u9886\u57df\u7684\u5e7f\u6cdb\u5e94\u7528\u548c\u53d6\u5f97\u7684\u7a81\u7834\u6027\u6210\u679c\u3002<\/p>\n<h3>AlphaEvolve \u7684\u6838\u5fc3\u67b6\u6784\u4e0e\u539f\u7406<\/h3>\n<h4>\u6574\u4f53\u6846\u67b6<\/h4>\n<p>AlphaEvolve \u7684\u6574\u4f53\u67b6\u6784\u53ef\u4ee5\u770b\u4f5c\u662f\u4e00\u4e2a\u7cbe\u5fc3\u8bbe\u8ba1\u7684\u81ea\u52a8\u5316\u8fdb\u5316\u7cfb\u7edf\u3002\u5b83\u5c06\u591a\u4e2a LLM \u6709\u673a\u5730\u7ed3\u5408\u8d77\u6765\uff0c\u5f62\u6210\u4e00\u4e2a\u5f3a\u5927\u7684\u534f\u540c\u5de5\u4f5c\u7f51\u7edc\u3002\u8fd9\u4e9b LLM \u7684\u4efb\u52a1\u662f\u901a\u8fc7\u76f4\u63a5\u4fee\u6539\u4ee3\u7801\u6765\u9010\u6b65\u63d0\u5347\u7b97\u6cd5\u7684\u6027\u80fd\u3002AlphaEvolve \u91c7\u7528\u4e86\u4e00\u79cd\u8fdb\u5316\u7684\u65b9\u6cd5\uff0c\u901a\u8fc7\u4e0d\u65ad\u5730\u63a5\u6536\u6765\u81ea\u8bc4\u4f30\u5668\u7684\u53cd\u9988\uff0c\u8fed\u4ee3\u5730\u6539\u8fdb\u7b97\u6cd5\u3002\u8fd9\u79cd\u57fa\u4e8e\u4ee3\u7801\u6267\u884c\u548c\u81ea\u52a8\u8bc4\u4f30\u7684\u8fdb\u5316\u673a\u5236\uff0c\u4f7f\u5f97 AlphaEvolve \u80fd\u591f\u6709\u6548\u5730\u907f\u514d\u57fa\u7840 LLM \u53ef\u80fd\u4ea7\u751f\u7684\u9519\u8bef\u5efa\u8bae\uff0c\u4ece\u800c\u786e\u4fdd\u7b97\u6cd5\u7684\u51c6\u786e\u6027\u548c\u53ef\u9760\u6027\u3002<\/p>\n<p>\u4e3a\u4e86\u8ba9\u5927\u5bb6\u66f4\u597d\u5730\u7406\u89e3 AlphaEvolve \u7684\u5de5\u4f5c\u65b9\u5f0f\uff0c\u6211\u4eec\u53ef\u4ee5\u4ee5\u77e9\u9635\u4e58\u6cd5\u4f18\u5316\u4e3a\u4f8b\u3002\u77e9\u9635\u4e58\u6cd5\u662f\u79d1\u5b66\u8ba1\u7b97\u4e2d\u7684\u4e00\u4e2a\u57fa\u7840\u4e14\u5173\u952e\u7684\u64cd\u4f5c\uff0c\u5e7f\u6cdb\u5e94\u7528\u4e8e\u673a\u5668\u5b66\u4e60\u3001\u8ba1\u7b97\u673a\u56fe\u5f62\u5b66\u548c\u7269\u7406\u5b66\u7b49\u9886\u57df\u3002\u4f20\u7edf\u7684\u77e9\u9635\u4e58\u6cd5\u7b97\u6cd5\uff0c\u5982 Strassen \u7b97\u6cd5\uff0c\u5df2\u7ecf\u5b58\u5728\u4e86\u6570\u5341\u5e74\uff0c\u4f46\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\u4ecd\u7136\u5b58\u5728\u4f18\u5316\u7a7a\u95f4\u3002AlphaEvolve \u901a\u8fc7\u8fdb\u5316\u7b97\u6cd5\uff0c\u6210\u529f\u5730\u53d1\u73b0\u4e86\u4e00\u79cd\u65b0\u7684\u77e9\u9635\u4e58\u6cd5\u7b97\u6cd5\uff0c\u5c06 4\u00d74 \u590d\u6570\u77e9\u9635\u4e58\u6cd5\u7684\u4e58\u6cd5\u64cd\u4f5c\u6b21\u6570\u4ece 49 \u6b21\u964d\u4f4e\u5230\u4e86 48 \u6b21\u3002\u8fd9\u4e00\u6210\u679c\u4e0d\u4ec5\u5728\u7406\u8bba\u4e0a\u53d6\u5f97\u4e86\u7a81\u7834\uff0c\u800c\u4e14\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\u4e5f\u5177\u6709\u91cd\u8981\u7684\u610f\u4e49\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s4.51cto.com\/oss\/202505\/22\/e3049d856670834f8276001bb194a6eb444979.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>AlphaEvolve \u6982\u8ff0<\/p>\n<p>\u4e0a\u56fe\u5c55\u793a\u4e86 AlphaEvolve \u7684\u67b6\u6784\uff0c\u53ef\u4ee5\u770b\u5230\u5b83\u5982\u4f55\u534f\u8c03\u591a\u4e2a LLM \u548c\u8bc4\u4f30\u5668\uff0c\u5f62\u6210\u4e00\u4e2a\u5b8c\u6574\u7684\u8fdb\u5316\u6d41\u7a0b\u3002<\/p>\n<h4>\u5173\u952e\u7ec4\u4ef6\u8be6\u89e3<\/h4>\n<h5>\u4efb\u52a1\u5b9a\u4e49\u4e0e\u521d\u59cb\u8bbe\u7f6e<\/h5>\n<p>\u5728\u4f7f\u7528 AlphaEvolve \u4e4b\u524d\uff0c\u7528\u6237\u9700\u8981\u660e\u786e\u5730\u5b9a\u4e49\u4efb\u52a1\u7684\u76ee\u6807\uff0c\u5e76\u63d0\u4f9b\u4e00\u4e2a\u521d\u59cb\u7684\u89e3\u51b3\u65b9\u6848\u4ee5\u53ca\u76f8\u5e94\u7684\u8bc4\u4f30\u6807\u51c6\u3002AlphaEvolve \u63d0\u4f9b\u4e86\u4e00\u4e2a\u7075\u6d3b\u7684 API\uff0c\u5141\u8bb8\u7528\u6237\u5728\u4ee3\u7801\u4e2d\u6807\u6ce8\u51fa\u9700\u8981\u8fdb\u5316\u7684\u4ee3\u7801\u5757\uff0c\u8fd9\u4e9b\u4ee3\u7801\u5757\u5c06\u4f5c\u4e3a\u8fdb\u5316\u8fc7\u7a0b\u7684\u8d77\u70b9\u3002\u4f8b\u5982\uff0c\u7528\u6237\u53ef\u4ee5\u5728\u4ee3\u7801\u4e2d\u6dfb\u52a0\u7279\u6b8a\u7684\u6ce8\u91ca\u6807\u8bb0\uff0c\u5982\u00a0<code># EVOLVE-BLOCK-START<\/code>\u00a0\u548c\u00a0<code># EVOLVE-BLOCK-END<\/code>\uff0c\u6765\u6307\u5b9a\u54ea\u4e9b\u90e8\u5206\u7684\u4ee3\u7801\u9700\u8981\u88ab\u4f18\u5316\u3002\u8fd9\u79cd\u8bbe\u8ba1\u4e0d\u4ec5\u4f7f\u5f97 AlphaEvolve \u80fd\u591f\u4e0e\u73b0\u6709\u7684\u4ee3\u7801\u5e93\u65e0\u7f1d\u96c6\u6210\uff0c\u800c\u4e14\u6781\u5927\u5730\u7b80\u5316\u4e86\u7528\u6237\u7684\u64cd\u4f5c\u6d41\u7a0b\uff0c\u7528\u6237\u53ea\u9700\u5728\u73b0\u6709\u4ee3\u7801\u7684\u57fa\u7840\u4e0a\u8fdb\u884c\u7b80\u5355\u7684\u4fee\u6539\u5373\u53ef\u3002<\/p>\n<p>\u4ee5\u77e9\u9635\u4e58\u6cd5\u4f18\u5316\u4e3a\u4f8b\uff0c\u5047\u8bbe\u6211\u4eec\u6709\u4e00\u4e2a\u521d\u59cb\u7684\u77e9\u9635\u4e58\u6cd5\u7b97\u6cd5\u5b9e\u73b0\uff0c\u5982\u4e0b\u6240\u793a\uff1a<\/p>\n<div>\n<div class=\"hljs-cto\">\n<div class=\"hljs-cto\"><button class=\"copy_btn disable\" data-clipboard-target=\"#code_id_0\">\u590d\u5236<\/button><\/p>\n<div class=\"code-toolbar\">\n<pre class=\"has-pre-numbering language-plain\" tabindex=\"0\"><code class=\"language-plain\"># EVOLVE-BLOCK-START\r\ndefmatrix_multiply(A, B):\r\n    n = len(A)\r\n    C = [[0for _ inrange(n)] for _ inrange(n)]\r\n    for i inrange(n):\r\n        for j inrange(n):\r\n            for k inrange(n):\r\n                C[i][j] += A[i][k] * B[k][j]\r\n    return C\r\n# EVOLVE-BLOCK-END<\/code><\/pre>\n<ul id=\"code_id_0\" class=\"pre-numbering\">\n<li>1.<\/li>\n<li>2.<\/li>\n<li>3.<\/li>\n<li>4.<\/li>\n<li>5.<\/li>\n<li>6.<\/li>\n<li>7.<\/li>\n<li>8.<\/li>\n<li>9.<\/li>\n<li>10.<\/li>\n<\/ul>\n<div class=\"toolbar\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p>\u7528\u6237\u53ef\u4ee5\u901a\u8fc7\u5728\u4ee3\u7801\u4e2d\u6dfb\u52a0\u00a0<code># EVOLVE-BLOCK-START<\/code>\u00a0\u548c\u00a0<code># EVOLVE-BLOCK-END<\/code>\u00a0\u6807\u8bb0\uff0c\u6307\u5b9a\u00a0<code>matrix_multiply<\/code>\u00a0\u51fd\u6570\u4e3a\u9700\u8981\u8fdb\u5316\u7684\u4ee3\u7801\u5757\u3002AlphaEvolve \u5c06\u4ee5\u6b64\u4e3a\u57fa\u7840\uff0c\u9010\u6b65\u5bf9\u5176\u8fdb\u884c\u4f18\u5316\u3002<\/p>\n<h5>\u63d0\u793a\u91c7\u6837\uff08Prompt Sampling\uff09<\/h5>\n<p>\u63d0\u793a\u91c7\u6837\u662f AlphaEvolve \u4e2d\u4e00\u4e2a\u81f3\u5173\u91cd\u8981\u7684\u73af\u8282\u3002\u5b83\u901a\u8fc7\u4ece\u7a0b\u5e8f\u6570\u636e\u5e93\u4e2d\u62bd\u53d6\u5148\u524d\u53d1\u73b0\u7684\u89e3\u51b3\u65b9\u6848\uff0c\u5e76\u7ed3\u5408\u7cfb\u7edf\u6307\u4ee4\uff0c\u6784\u5efa\u51fa\u4e30\u5bcc\u591a\u6837\u7684\u63d0\u793a\u3002\u8fd9\u4e9b\u63d0\u793a\u4e3a LLM \u63d0\u4f9b\u4e86\u4e30\u5bcc\u7684\u4e0a\u4e0b\u6587\u4fe1\u606f\uff0c\u4ece\u800c\u5f15\u5bfc\u5b83\u4eec\u63d0\u51fa\u66f4\u6709\u9488\u5bf9\u6027\u7684\u4ee3\u7801\u4fee\u6539\u5efa\u8bae\u3002\u5728\u63d0\u793a\u91c7\u6837\u8fc7\u7a0b\u4e2d\uff0cAlphaEvolve \u8fd8\u53ef\u4ee5\u91c7\u7528\u591a\u79cd\u7b56\u7565\u6765\u8fdb\u4e00\u6b65\u4e30\u5bcc\u63d0\u793a\u7684\u5185\u5bb9\u3002\u4f8b\u5982\uff0c\u5b83\u53ef\u4ee5\u6dfb\u52a0\u660e\u786e\u7684\u4e0a\u4e0b\u6587\u4fe1\u606f\uff0c\u5982\u95ee\u9898\u7684\u8be6\u7ec6\u63cf\u8ff0\u3001\u76f8\u5173\u7684\u6570\u5b66\u516c\u5f0f\u3001\u4ee3\u7801\u7247\u6bb5\uff0c\u751a\u81f3\u662f\u76f8\u5173\u7684\u6587\u732e\u8d44\u6599\u3002\u6b64\u5916\uff0c\u8fd8\u53ef\u4ee5\u901a\u8fc7\u968f\u673a\u683c\u5f0f\u5316\u7684\u65b9\u5f0f\uff0c\u4e3a\u63d0\u793a\u4e2d\u7684\u6a21\u677f\u5360\u4f4d\u7b26\u63d0\u4f9b\u591a\u79cd\u53ef\u80fd\u7684\u66ff\u4ee3\u65b9\u6848\uff0c\u4ece\u800c\u589e\u52a0\u63d0\u793a\u7684\u591a\u6837\u6027\u3002AlphaEvolve \u8fd8\u53ef\u4ee5\u5c06\u5148\u524d\u8bc4\u4f30\u7684\u7ed3\u679c\u6e32\u67d3\u5230\u63d0\u793a\u4e2d\uff0c\u4e3a LLM \u63d0\u4f9b\u66f4\u76f4\u89c2\u7684\u53cd\u9988\u3002\u66f4\u8fdb\u4e00\u6b65\uff0cAlphaEvolve \u8fd8\u652f\u6301\u5143\u63d0\u793a\u8fdb\u5316\uff0c\u5373\u901a\u8fc7 LLM \u81ea\u8eab\u751f\u6210\u7684\u6307\u4ee4\u548c\u4e0a\u4e0b\u6587\u6765\u4f18\u5316\u63d0\u793a\uff0c\u4ece\u800c\u8fdb\u4e00\u6b65\u63d0\u5347\u63d0\u793a\u7684\u8d28\u91cf\u3002<\/p>\n<p>\u4ee5\u77e9\u9635\u4e58\u6cd5\u4f18\u5316\u4e3a\u4f8b\uff0cAlphaEvolve \u53ef\u4ee5\u5728\u63d0\u793a\u4e2d\u6dfb\u52a0\u4ee5\u4e0b\u5185\u5bb9\uff1a<\/p>\n<div>\n<div class=\"hljs-cto\">\n<div class=\"hljs-cto\"><button class=\"copy_btn disable\" data-clipboard-target=\"#code_id_1\">\u590d\u5236<\/button><\/p>\n<div class=\"code-toolbar\">\n<pre class=\"has-pre-numbering language-plain\" tabindex=\"0\"><code class=\"language-plain\"># \u4efb\u52a1\uff1a\u4f18\u5316\u77e9\u9635\u4e58\u6cd5\u7b97\u6cd5\r\n# \u5f53\u524d\u7b97\u6cd5\uff1a\u4e09\u91cd\u5faa\u73af\u5b9e\u73b0\r\n# \u76ee\u6807\uff1a\u51cf\u5c11\u4e58\u6cd5\u64cd\u4f5c\u6b21\u6570\r\n# \u5df2\u77e5\u6700\u4f73\u7b97\u6cd5\uff1aStrassen \u7b97\u6cd5\uff0c4\u00d74 \u77e9\u9635\u4e58\u6cd5\u9700\u8981 49 \u6b21\u4e58\u6cd5\r\n# \u5f53\u524d\u7b97\u6cd5\u6027\u80fd\uff1a4\u00d74 \u77e9\u9635\u4e58\u6cd5\u9700\u8981 64 \u6b21\u4e58\u6cd5<\/code><\/pre>\n<ul id=\"code_id_1\" class=\"pre-numbering\">\n<li>1.<\/li>\n<li>2.<\/li>\n<li>3.<\/li>\n<li>4.<\/li>\n<li>5.<\/li>\n<\/ul>\n<div class=\"toolbar\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p>\u901a\u8fc7\u8fd9\u79cd\u65b9\u5f0f\uff0cLLM \u80fd\u591f\u5728\u66f4\u4e30\u5bcc\u7684\u4e0a\u4e0b\u6587\u4e2d\u8fdb\u884c\u601d\u8003\uff0c\u4ece\u800c\u63d0\u51fa\u66f4\u5177\u521b\u65b0\u6027\u7684\u4ee3\u7801\u4fee\u6539\u5efa\u8bae\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s8.51cto.com\/oss\/202505\/22\/e4362a276612a08cf39213910023f156b826c2.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>AlphaEvolve\u53d1\u73b0\u8fc7\u7a0b\u7684\u6269\u5c55\u89c6\u56fe\u4e0a\u56fe\u5c55\u793a\u4e86 AlphaEvolve \u7684\u53d1\u73b0\u8fc7\u7a0b\uff0c\u8be6\u7ec6\u8bf4\u660e\u4e86\u4ece\u4efb\u52a1\u5b9a\u4e49\u5230\u8bc4\u4f30\u7684\u5404\u4e2a\u6b65\u9aa4\u3002<\/p>\n<h5>\u521b\u610f\u751f\u6210\uff08Creative Generation\uff09<\/h5>\n<p>\u5728\u521b\u610f\u751f\u6210\u9636\u6bb5\uff0cLLM \u6839\u636e\u63d0\u793a\u751f\u6210\u4ee3\u7801\u4fee\u6539\u7684\u8fc7\u7a0b\u662f AlphaEvolve \u7684\u6838\u5fc3\u6240\u5728\u3002\u8fd9\u4e9b LLM \u5177\u5907\u5f3a\u5927\u7684\u8bed\u8a00\u7406\u89e3\u548c\u751f\u6210\u80fd\u529b\uff0c\u80fd\u591f\u57fa\u4e8e\u63d0\u793a\u4e2d\u7684\u4e0a\u4e0b\u6587\u4fe1\u606f\uff0c\u751f\u6210\u591a\u6837\u5316\u7684\u4ee3\u7801\u4fee\u6539\u5efa\u8bae\u3002AlphaEvolve \u91c7\u7528\u4e86 Gemini 2.0 Flash \u548c Gemini 2.0 Pro \u8fd9\u4e24\u79cd\u6a21\u578b\u7684\u7ec4\u5408\uff0c\u4ee5\u5145\u5206\u5229\u7528\u5b83\u4eec\u5404\u81ea\u7684\u4f18\u52bf\u3002Gemini 2.0 Flash \u6a21\u578b\u4ee5\u5176\u8f83\u4f4e\u7684\u5ef6\u8fdf\u548c\u8f83\u9ad8\u7684\u541e\u5410\u91cf\uff0c\u80fd\u591f\u5feb\u901f\u751f\u6210\u5927\u91cf\u7684\u7b80\u5355\u731c\u60f3\uff0c\u4ece\u800c\u4e3a\u8fdb\u5316\u8fc7\u7a0b\u63d0\u4f9b\u4e30\u5bcc\u7684\u5019\u9009\u89e3\u3002\u800c Gemini 2.0 Pro \u6a21\u578b\u5219\u51ed\u501f\u5176\u66f4\u5f3a\u5927\u7684\u80fd\u529b\u548c\u66f4\u6df1\u5165\u7684\u7406\u89e3\uff0c\u80fd\u591f\u5bf9\u590d\u6742\u7684\u7b97\u6cd5\u8fdb\u884c\u6df1\u5ea6\u4f18\u5316\uff0c\u4ece\u800c\u5728\u8fdb\u5316\u8fc7\u7a0b\u4e2d\u5b9e\u73b0\u7a81\u7834\u6027\u7684\u8fdb\u5c55\u3002<\/p>\n<p>\u4f8b\u5982\uff0cFlash \u6a21\u578b\u53ef\u80fd\u4f1a\u751f\u6210\u4ee5\u4e0b\u7b80\u5355\u7684\u4f18\u5316\u5efa\u8bae\uff1a<\/p>\n<div>\n<div class=\"hljs-cto\">\n<div class=\"hljs-cto\"><button class=\"copy_btn disable\" data-clipboard-target=\"#code_id_2\">\u590d\u5236<\/button><\/p>\n<div class=\"code-toolbar\">\n<pre class=\"has-pre-numbering language-plain\" tabindex=\"0\"><code class=\"language-plain\"># EVOLVE-BLOCK-START\r\ndefmatrix_multiply(A, B):\r\n    n = len(A)\r\n    C = [[0for _ inrange(n)] for _ inrange(n)]\r\n    for i inrange(n):\r\n        for j inrange(n):\r\n            sum = 0\r\n            for k inrange(n):\r\n                sum += A[i][k] * B[k][j]\r\n            C[i][j] = sum\r\n    return C\r\n# EVOLVE-BLOCK-END<\/code><\/pre>\n<ul id=\"code_id_2\" class=\"pre-numbering\">\n<li>1.<\/li>\n<li>2.<\/li>\n<li>3.<\/li>\n<li>4.<\/li>\n<li>5.<\/li>\n<li>6.<\/li>\n<li>7.<\/li>\n<li>8.<\/li>\n<li>9.<\/li>\n<li>10.<\/li>\n<li>11.<\/li>\n<li>12.<\/li>\n<\/ul>\n<div class=\"toolbar\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p>\u800c Pro \u6a21\u578b\u53ef\u80fd\u4f1a\u751f\u6210\u66f4\u590d\u6742\u7684\u4f18\u5316\u5efa\u8bae\uff0c\u4f8b\u5982\u5f15\u5165\u5206\u6cbb\u6cd5\u6216 Strassen \u7b97\u6cd5\u7684\u90e8\u5206\u601d\u60f3\u3002\u901a\u8fc7\u8fd9\u4e24\u79cd\u6a21\u578b\u7684\u534f\u540c\u5de5\u4f5c\uff0cAlphaEvolve \u80fd\u591f\u5728\u4fdd\u8bc1\u8fdb\u5316\u6548\u7387\u7684\u540c\u65f6\uff0c\u4e0d\u65ad\u63d0\u5347\u7b97\u6cd5\u7684\u8d28\u91cf\u3002<\/p>\n<p>AlphaEvolve \u8fd8\u901a\u8fc7\u5dee\u5f02\u5bf9\u6bd4\u5206\u6790\uff08diff\uff09\u683c\u5f0f\u83b7\u53d6 LLM \u7684\u4ee3\u7801\u4fee\u6539\u5efa\u8bae\u3002\u5177\u4f53\u6765\u8bf4\uff0cLLM \u751f\u6210\u7684\u4ee3\u7801\u4fee\u6539\u5efa\u8bae\u5c06\u4ee5 diff \u7684\u5f62\u5f0f\u5448\u73b0\uff0c\u660e\u786e\u6307\u51fa\u9700\u8981\u4fee\u6539\u7684\u4ee3\u7801\u4f4d\u7f6e\u548c\u4fee\u6539\u5185\u5bb9\u3002AlphaEvolve \u7136\u540e\u6839\u636e\u8fd9\u4e9b diff \u4fe1\u606f\uff0c\u7cbe\u51c6\u5730\u5bf9\u73b0\u6709\u4ee3\u7801\u8fdb\u884c\u66f4\u65b0\uff0c\u4ece\u800c\u5b9e\u73b0\u4ee3\u7801\u8d28\u91cf\u7684\u9010\u6b65\u63d0\u5347\u3002<\/p>\n<h5>\u8bc4\u4f30\u673a\u5236\uff08Evaluation\uff09<\/h5>\n<p>\u8bc4\u4f30\u673a\u5236\u662f AlphaEvolve \u4e2d\u53e6\u4e00\u4e2a\u5173\u952e\u7684\u7ec4\u6210\u90e8\u5206\u3002\u5b83\u901a\u8fc7\u7528\u6237\u63d0\u4f9b\u7684\u8bc4\u4f30\u51fd\u6570\uff0c\u5bf9 LLM \u751f\u6210\u7684\u4ee3\u7801\u4fee\u6539\u5efa\u8bae\u8fdb\u884c\u81ea\u52a8\u8bc4\u4f30\u3002\u8bc4\u4f30\u51fd\u6570\u7684\u8bbe\u8ba1\u901a\u5e38\u4f1a\u6839\u636e\u5177\u4f53\u7684\u5e94\u7528\u573a\u666f\u800c\u6709\u6240\u4e0d\u540c\uff0c\u4f46\u5176\u6838\u5fc3\u76ee\u6807\u662f\u6700\u5927\u5316\u8bc4\u4f30\u6307\u6807\u7684\u503c\u3002AlphaEvolve \u652f\u6301\u591a\u79cd\u4f18\u5316\u8bc4\u4f30\u8fc7\u7a0b\u7684\u63aa\u65bd\uff0c\u5982\u8bc4\u4f30\u7ea7\u8054\u3001LLM \u53cd\u9988\u751f\u6210\u548c\u5e76\u884c\u5316\u8bc4\u4f30\u7b49\u3002<\/p>\n<p>\u4ee5\u77e9\u9635\u4e58\u6cd5\u4f18\u5316\u4e3a\u4f8b\uff0c\u8bc4\u4f30\u51fd\u6570\u53ef\u4ee5\u8bbe\u8ba1\u4e3a\u8ba1\u7b97\u77e9\u9635\u4e58\u6cd5\u6240\u9700\u7684\u4e58\u6cd5\u64cd\u4f5c\u6b21\u6570\u3002AlphaEvolve \u901a\u8fc7\u8bc4\u4f30\u7ea7\u8054\u7684\u65b9\u5f0f\uff0c\u9996\u5148\u5728\u8f83\u5c0f\u89c4\u6a21\u7684\u77e9\u9635\u4e0a\u6d4b\u8bd5\u751f\u6210\u7684\u7b97\u6cd5\uff0c\u53ea\u6709\u5f53\u5b83\u4eec\u5728\u8fd9\u4e9b\u7b80\u5355\u7528\u4f8b\u4e0a\u8868\u73b0\u51fa\u8272\u65f6\uff0c\u624d\u4f1a\u8fdb\u4e00\u6b65\u5728\u66f4\u590d\u6742\u7684\u7528\u4f8b\u4e0a\u8fdb\u884c\u6d4b\u8bd5\u3002\u8fd9\u79cd\u9010\u6b65\u7b5b\u9009\u7684\u65b9\u5f0f\u4e0d\u4ec5\u80fd\u591f\u63d0\u9ad8\u8bc4\u4f30\u7684\u6548\u7387\uff0c\u8fd8\u80fd\u591f\u786e\u4fdd\u6700\u7ec8\u7b5b\u9009\u51fa\u7684\u89e3\u51b3\u65b9\u6848\u5728\u5404\u79cd\u60c5\u51b5\u4e0b\u90fd\u5177\u6709\u826f\u597d\u7684\u6027\u80fd\u3002<\/p>\n<p>\u6b64\u5916\uff0cAlphaEvolve \u8fd8\u652f\u6301\u591a\u6307\u6807\u4f18\u5316\u3002\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u6211\u4eec\u5f80\u5f80\u9700\u8981\u540c\u65f6\u8003\u8651\u591a\u4e2a\u8bc4\u4f30\u6307\u6807\uff0c\u4f8b\u5982\u5728\u4f18\u5316\u4e00\u4e2a\u673a\u5668\u5b66\u4e60\u6a21\u578b\u65f6\uff0c\u6211\u4eec\u53ef\u80fd\u65e2\u5e0c\u671b\u63d0\u9ad8\u6a21\u578b\u7684\u51c6\u786e\u6027\uff0c\u53c8\u5e0c\u671b\u51cf\u5c11\u6a21\u578b\u7684\u8bad\u7ec3\u65f6\u95f4\u3002\u901a\u8fc7\u591a\u6307\u6807\u4f18\u5316\uff0cAlphaEvolve \u80fd\u591f\u5728\u4f18\u5316\u4e00\u4e2a\u6307\u6807\u7684\u540c\u65f6\uff0c\u4fdd\u8bc1\u5176\u4ed6\u6307\u6807\u7684\u6027\u80fd\u4e0d\u53d7\u5f71\u54cd\u6216\u5f97\u5230\u63d0\u5347\u3002\u8fd9\u79cd\u591a\u6307\u6807\u4f18\u5316\u7684\u80fd\u529b\u4f7f\u5f97 AlphaEvolve \u80fd\u591f\u66f4\u597d\u5730\u6ee1\u8db3\u5b9e\u9645\u5e94\u7528\u4e2d\u7684\u590d\u6742\u9700\u6c42\u3002<\/p>\n<h5>\u8fdb\u5316\u8fc7\u7a0b\uff08Evolution\uff09<\/h5>\n<p>\u8fdb\u5316\u8fc7\u7a0b\u662f AlphaEvolve \u5b9e\u73b0\u4ee3\u7801\u4f18\u5316\u7684\u6838\u5fc3\u73af\u8282\u3002\u5728\u8fd9\u4e2a\u8fc7\u7a0b\u4e2d\uff0cAlphaEvolve \u6784\u5efa\u5e76\u7ef4\u62a4\u4e00\u4e2a\u8fdb\u5316\u6570\u636e\u5e93\uff0c\u7528\u4e8e\u5b58\u50a8\u548c\u7ba1\u7406\u5404\u79cd\u4ee3\u7801\u7248\u672c\u53ca\u5176\u8bc4\u4f30\u7ed3\u679c\u3002\u8fdb\u5316\u6570\u636e\u5e93\u7684\u6784\u5efa\u548c\u7ef4\u62a4\u9700\u8981\u5728\u63a2\u7d22\u65b0\u89e3\u548c\u5229\u7528\u5df2\u77e5\u4f18\u8d28\u89e3\u4e4b\u95f4\u627e\u5230\u5e73\u8861\u3002AlphaEvolve \u501f\u9274\u4e86 MAP \u7cbe\u82f1\u7b97\u6cd5\u548c\u57fa\u4e8e\u5c9b\u5c7f\u7684\u79cd\u7fa4\u6a21\u578b\uff0c\u4ee5\u5b9e\u73b0\u8fd9\u79cd\u5e73\u8861\u3002<\/p>\n<p>\u4ee5\u77e9\u9635\u4e58\u6cd5\u4f18\u5316\u4e3a\u4f8b\uff0c\u8fdb\u5316\u6570\u636e\u5e93\u4e2d\u5b58\u50a8\u4e86\u591a\u4e2a\u4e0d\u540c\u7248\u672c\u7684\u77e9\u9635\u4e58\u6cd5\u7b97\u6cd5\u53ca\u5176\u6027\u80fd\u8bc4\u4f30\u7ed3\u679c\u3002\u5728\u6bcf\u4e00\u4ee3\u8fdb\u5316\u8fc7\u7a0b\u4e2d\uff0cAlphaEvolve \u4f1a\u4ece\u6570\u636e\u5e93\u4e2d\u9009\u62e9\u4e00\u4e9b\u6027\u80fd\u8f83\u597d\u7684\u7b97\u6cd5\u7248\u672c\u4f5c\u4e3a\u7236\u4ee3\uff0c\u5e76\u57fa\u4e8e\u8fd9\u4e9b\u7236\u4ee3\u751f\u6210\u65b0\u7684\u5b50\u4ee3\u3002\u8fd9\u4e9b\u5b50\u4ee3\u4f1a\u7ee7\u627f\u7236\u4ee3\u7684\u4e00\u4e9b\u7279\u6027\uff0c\u540c\u65f6\u4e5f\u4f1a\u5f15\u5165\u4e00\u4e9b\u65b0\u7684\u53d8\u5f02\u3002\u901a\u8fc7\u8bc4\u4f30\u8fd9\u4e9b\u5b50\u4ee3\u7684\u6027\u80fd\uff0c\u5c06\u6027\u80fd\u8f83\u597d\u7684\u5b50\u4ee3\u91cd\u65b0\u52a0\u5165\u5230\u8fdb\u5316\u6570\u636e\u5e93\u4e2d\uff0c\u4ece\u800c\u9010\u6b65\u7b5b\u9009\u51fa\u66f4\u4f18\u7684\u89e3\u51b3\u65b9\u6848\u3002\u8fd9\u79cd\u57fa\u4e8e\u8fdb\u5316\u6570\u636e\u5e93\u7684\u8fdb\u5316\u8fc7\u7a0b\u4e0d\u4ec5\u80fd\u591f\u6709\u6548\u5730\u907f\u514d\u9677\u5165\u5c40\u90e8\u6700\u4f18\uff0c\u8fd8\u80fd\u591f\u6301\u7eed\u5730\u63a2\u7d22\u65b0\u7684\u89e3\u7a7a\u95f4\uff0c\u4ece\u800c\u5b9e\u73b0\u4ee3\u7801\u7684\u4e0d\u65ad\u4f18\u5316\u3002<\/p>\n<h5>\u5206\u5e03\u5f0f\u7ba1\u9053\uff08Distributed Pipeline\uff09<\/h5>\n<p>AlphaEvolve \u7684\u5206\u5e03\u5f0f\u7ba1\u9053\u67b6\u6784\u57fa\u4e8e asyncio \u7684\u5f02\u6b65\u8ba1\u7b97\u6846\u67b6\uff0c\u80fd\u591f\u9ad8\u6548\u5730\u534f\u8c03\u591a\u4e2a\u8ba1\u7b97\u7ec4\u4ef6\u7684\u534f\u540c\u5de5\u4f5c\u3002\u8fd9\u4e2a\u67b6\u6784\u5305\u62ec\u4e00\u4e2a\u63a7\u5236\u5668\u3001\u591a\u4e2a LLM \u91c7\u6837\u5668\u548c\u8bc4\u4f30\u8282\u70b9\u3002\u63a7\u5236\u5668\u8d1f\u8d23\u7ba1\u7406\u548c\u8c03\u5ea6\u6574\u4e2a\u8fdb\u5316\u8fc7\u7a0b\uff0cLLM \u91c7\u6837\u5668\u8d1f\u8d23\u4ece LLM \u83b7\u53d6\u4ee3\u7801\u4fee\u6539\u5efa\u8bae\uff0c\u800c\u8bc4\u4f30\u8282\u70b9\u5219\u8d1f\u8d23\u5bf9\u8fd9\u4e9b\u4fee\u6539\u5efa\u8bae\u8fdb\u884c\u8bc4\u4f30\u3002\u901a\u8fc7\u8fd9\u79cd\u5f02\u6b65\u8ba1\u7b97\u7684\u65b9\u5f0f\uff0cAlphaEvolve \u80fd\u591f\u540c\u65f6\u8fd0\u884c\u591a\u4e2a\u8ba1\u7b97\u4efb\u52a1\uff0c\u4ece\u800c\u6781\u5927\u5730\u63d0\u9ad8\u4e86\u7cfb\u7edf\u7684\u541e\u5410\u91cf\u548c\u8d44\u6e90\u5229\u7528\u7387\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5728\u4e00\u4e2a\u5927\u89c4\u6a21\u7684\u8fdb\u5316\u5b9e\u9a8c\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u540c\u65f6\u542f\u52a8\u591a\u4e2a LLM \u91c7\u6837\u5668\uff0c\u4ece\u4e0d\u540c\u7684 LLM \u83b7\u53d6\u4ee3\u7801\u4fee\u6539\u5efa\u8bae\u3002\u8fd9\u4e9b\u4fee\u6539\u5efa\u8bae\u968f\u540e\u4f1a\u88ab\u53d1\u9001\u5230\u8bc4\u4f30\u8282\u70b9\u8fdb\u884c\u8bc4\u4f30\u3002\u7531\u4e8e\u8bc4\u4f30\u8fc7\u7a0b\u53ef\u80fd\u9700\u8981\u6d88\u8017\u5927\u91cf\u7684\u8ba1\u7b97\u8d44\u6e90\uff0c\u901a\u8fc7\u5e76\u884c\u5316\u8bc4\u4f30\uff0c\u6211\u4eec\u53ef\u4ee5\u540c\u65f6\u5bf9\u591a\u4e2a\u4fee\u6539\u5efa\u8bae\u8fdb\u884c\u8bc4\u4f30\uff0c\u4ece\u800c\u52a0\u5feb\u6574\u4e2a\u8fdb\u5316\u8fc7\u7a0b\u7684\u901f\u5ea6\u3002\u8fd9\u79cd\u5206\u5e03\u5f0f\u7ba1\u9053\u67b6\u6784\u7684\u8bbe\u8ba1\u4f7f\u5f97 AlphaEvolve \u80fd\u591f\u5728\u6709\u9650\u7684\u8ba1\u7b97\u8d44\u6e90\u4e0b\uff0c\u5b9e\u73b0\u9ad8\u6548\u7684\u8fdb\u5316\u641c\u7d22\uff0c\u4e3a\u89e3\u51b3\u590d\u6742\u7684\u79d1\u5b66\u548c\u5de5\u7a0b\u95ee\u9898\u63d0\u4f9b\u4e86\u5f3a\u5927\u7684\u652f\u6301\u3002<\/p>\n<h3>AlphaEvolve \u7684\u5e94\u7528\u573a\u666f\u4e0e\u6210\u679c<\/h3>\n<h4>\u79d1\u5b66\u8ba1\u7b97\u9886\u57df\u7684\u7a81\u7834<\/h4>\n<h5>\u77e9\u9635\u4e58\u6cd5\u4f18\u5316<\/h5>\n<p>\u77e9\u9635\u4e58\u6cd5\u662f\u79d1\u5b66\u8ba1\u7b97\u4e2d\u7684\u4e00\u4e2a\u57fa\u7840\u4e14\u5173\u952e\u7684\u64cd\u4f5c\uff0c\u5e7f\u6cdb\u5e94\u7528\u4e8e\u673a\u5668\u5b66\u4e60\u3001\u8ba1\u7b97\u673a\u56fe\u5f62\u5b66\u548c\u7269\u7406\u5b66\u7b49\u9886\u57df\u3002\u4f20\u7edf\u7684\u77e9\u9635\u4e58\u6cd5\u7b97\u6cd5\uff0c\u5982 Strassen \u7b97\u6cd5\uff0c\u5df2\u7ecf\u5b58\u5728\u4e86\u6570\u5341\u5e74\uff0c\u4f46\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\u4ecd\u7136\u5b58\u5728\u4f18\u5316\u7a7a\u95f4\u3002AlphaEvolve \u5728\u77e9\u9635\u4e58\u6cd5\u4f18\u5316\u65b9\u9762\u53d6\u5f97\u4e86\u663e\u8457\u7684\u6210\u679c\uff0c\u5c24\u5176\u662f\u5728 4\u00d74 \u590d\u6570\u77e9\u9635\u4e58\u6cd5\u7684\u6539\u8fdb\u4e0a\u3002<\/p>\n<p>\u5728\u4f20\u7edf\u65b9\u6cd5\u4e2d\uff0cStrassen \u7b97\u6cd5\u662f\u4e00\u79cd\u7ecf\u5178\u7684\u77e9\u9635\u4e58\u6cd5\u4f18\u5316\u7b97\u6cd5\uff0c\u5b83\u901a\u8fc7\u5c06\u77e9\u9635\u5206\u89e3\u4e3a\u66f4\u5c0f\u7684\u5b50\u77e9\u9635\uff0c\u5e76\u5229\u7528\u5206\u6cbb\u6cd5\u8fdb\u884c\u8ba1\u7b97\uff0c\u4ece\u800c\u51cf\u5c11\u4e86\u4e58\u6cd5\u64cd\u4f5c\u7684\u6b21\u6570\u3002\u7136\u800c\uff0cStrassen \u7b97\u6cd5\u5728\u590d\u6570\u77e9\u9635\u4e58\u6cd5\u4e2d\u4ecd\u7136\u5b58\u5728\u4e00\u5b9a\u7684\u5c40\u9650\u6027\u3002AlphaEvolve \u901a\u8fc7\u8fdb\u5316\u7b97\u6cd5\uff0c\u6210\u529f\u5730\u53d1\u73b0\u4e86\u4e00\u79cd\u65b0\u7684\u77e9\u9635\u4e58\u6cd5\u7b97\u6cd5\uff0c\u5c06 4\u00d74 \u590d\u6570\u77e9\u9635\u4e58\u6cd5\u7684\u4e58\u6cd5\u64cd\u4f5c\u6b21\u6570\u4ece 49 \u6b21\u964d\u4f4e\u5230\u4e86 48 \u6b21\u3002\u8fd9\u4e00\u6210\u679c\u4e0d\u4ec5\u5728\u7406\u8bba\u4e0a\u53d6\u5f97\u4e86\u7a81\u7834\uff0c\u800c\u4e14\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\u4e5f\u5177\u6709\u91cd\u8981\u7684\u610f\u4e49\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5728\u6df1\u5ea6\u5b66\u4e60\u6a21\u578b\u7684\u8bad\u7ec3\u8fc7\u7a0b\u4e2d\uff0c\u77e9\u9635\u4e58\u6cd5\u662f\u8ba1\u7b97\u5bc6\u96c6\u578b\u64cd\u4f5c\u4e4b\u4e00\u3002\u901a\u8fc7\u91c7\u7528 AlphaEvolve \u53d1\u73b0\u7684\u4f18\u5316\u7b97\u6cd5\uff0c\u53ef\u4ee5\u663e\u8457\u51cf\u5c11\u8ba1\u7b97\u8d44\u6e90\u7684\u6d88\u8017\uff0c\u4ece\u800c\u52a0\u5feb\u6a21\u578b\u7684\u8bad\u7ec3\u901f\u5ea6\u3002\u6b64\u5916\uff0cAlphaEvolve \u8fd8\u5728\u5176\u4ed6\u77e9\u9635\u89c4\u6a21\u4e0a\u53d6\u5f97\u4e86\u7c7b\u4f3c\u7684\u4f18\u5316\u6210\u679c\uff0c\u8fdb\u4e00\u6b65\u8bc1\u660e\u4e86\u5176\u5728\u77e9\u9635\u4e58\u6cd5\u4f18\u5316\u9886\u57df\u7684\u5f3a\u5927\u80fd\u529b\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s2.51cto.com\/oss\/202505\/22\/47a3aaa43c32fffe4e51739018e9492f06cdf5.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>\u5f20\u91cf\u27e8\ud835\udc5a, \ud835\udc5b, \ud835\udc5d\u27e9\u8868\u793a\u4e00\u4e2a\ud835\udc5a\u00d7\ud835\udc5b\u77e9\u9635\u4e0e\u4e00\u4e2a\ud835\udc5b\u00d7\ud835\udc5d\u77e9\u9635\u7684\u4e58\u79ef\u7684\u79e9\u7684\u4e0a\u754c\u4e0a\u8868\u5c55\u793a\u4e86 AlphaEvolve \u5728\u4e0d\u540c\u77e9\u9635\u89c4\u6a21\u4e0a\u7684\u4f18\u5316\u7ed3\u679c\uff0c\u53ef\u4ee5\u770b\u5230\u5b83\u5728\u591a\u4e2a\u53c2\u6570\u8bbe\u7f6e\u4e0b\u90fd\u53d6\u5f97\u4e86\u663e\u8457\u7684\u6539\u8fdb\u3002<\/p>\n<h5>\u6570\u5b66\u95ee\u9898\u63a2\u7d22<\/h5>\n<p>AlphaEvolve \u5728\u6570\u5b66\u95ee\u9898\u63a2\u7d22\u65b9\u9762\u4e5f\u5c55\u73b0\u51fa\u4e86\u5e7f\u6cdb\u7684\u5e94\u7528\u524d\u666f\u3002\u5b83\u88ab\u5e94\u7528\u4e8e\u8d85\u8fc7 50 \u4e2a\u6570\u5b66\u95ee\u9898\u7684\u7814\u7a76\u4e2d\uff0c\u6db5\u76d6\u4e86\u5206\u6790\u3001\u7ec4\u5408\u6570\u5b66\u3001\u6570\u8bba\u548c\u51e0\u4f55\u7b49\u591a\u4e2a\u6570\u5b66\u5206\u652f\u3002\u5728\u8fd9\u4e9b\u9886\u57df\u4e2d\uff0cAlphaEvolve \u4e0d\u4ec5\u6210\u529f\u5730\u5339\u914d\u4e86\u5927\u591a\u6570\u5df2\u77e5\u7684\u6700\u4f73\u89e3\uff0c\u8fd8\u5728\u7ea6 20% \u7684\u95ee\u9898\u4e0a\u53d6\u5f97\u4e86\u7a81\u7834\u6027\u7684\u8fdb\u5c55\uff0c\u53d1\u73b0\u4e86\u65b0\u7684\u3001\u66f4\u4f18\u7684\u89e3\u6cd5\u3002<\/p>\n<p>\u4ee5\u6700\u5c0f\u91cd\u53e0\u95ee\u9898\u4e3a\u4f8b\uff0c\u8fd9\u662f\u4e00\u4e2a\u7ecf\u5178\u7684\u7ec4\u5408\u6570\u5b66\u95ee\u9898\uff0c\u5176\u76ee\u6807\u662f\u627e\u5230\u4e00\u4e2a\u51fd\u6570\uff0c\u4f7f\u5f97\u5728\u7ed9\u5b9a\u7684\u7ea6\u675f\u6761\u4ef6\u4e0b\uff0c\u51fd\u6570\u7684\u81ea\u5377\u79ef\u7684\u6700\u5927\u503c\u5c3d\u53ef\u80fd\u5c0f\u3002AlphaEvolve \u901a\u8fc7\u8fdb\u5316\u7b97\u6cd5\uff0c\u6210\u529f\u5730\u627e\u5230\u4e86\u4e00\u4e2a\u6bd4\u4e4b\u524d\u5df2\u77e5\u89e3\u66f4\u597d\u7684\u51fd\u6570\uff0c\u4ece\u800c\u5c06\u6700\u5c0f\u91cd\u53e0\u95ee\u9898\u7684\u4e0a\u754c\u4ece 0.380927 \u964d\u4f4e\u5230\u4e86 0.380924\u3002\u8fd9\u4e00\u6210\u679c\u4e0d\u4ec5\u5c55\u793a\u4e86 AlphaEvolve \u5728\u89e3\u51b3\u590d\u6742\u6570\u5b66\u95ee\u9898\u4e0a\u7684\u5f3a\u5927\u80fd\u529b\uff0c\u4e5f\u4e3a\u76f8\u5173\u9886\u57df\u7684\u7814\u7a76\u63d0\u4f9b\u4e86\u65b0\u7684\u601d\u8def\u548c\u65b9\u6cd5\u3002<\/p>\n<p>\u5728\u51e0\u4f55\u9886\u57df\uff0cAlphaEvolve \u5728\u4eb2\u543b\u6570\u95ee\u9898\u4e0a\u4e5f\u53d6\u5f97\u4e86\u663e\u8457\u7684\u6210\u679c\u3002\u4eb2\u543b\u6570\u95ee\u9898\u662f\u6307\u5728\u4e00\u4e2a\u7ed9\u5b9a\u7ef4\u5ea6\u7684\u7a7a\u95f4\u4e2d\uff0c\u80fd\u591f\u4e0e\u4e00\u4e2a\u4e2d\u5fc3\u7403\u4f53\u76f8\u5207\u7684\u6700\u5927\u7403\u4f53\u6570\u91cf\u3002\u5728 11 \u7ef4\u7a7a\u95f4\u4e2d\uff0cAlphaEvolve \u53d1\u73b0\u4e86\u4e00\u4e2a\u65b0\u7684\u7403\u4f53\u914d\u7f6e\uff0c\u5c06\u4eb2\u543b\u6570\u7684\u4e0b\u754c\u4ece 592 \u63d0\u9ad8\u5230\u4e86 593\u3002\u8fd9\u4e00\u6210\u679c\u4e0d\u4ec5\u5237\u65b0\u4e86\u8be5\u95ee\u9898\u7684\u8bb0\u5f55\uff0c\u4e5f\u4e3a\u9ad8\u7ef4\u7a7a\u95f4\u4e2d\u7684\u51e0\u4f55\u95ee\u9898\u7814\u7a76\u63d0\u4f9b\u4e86\u65b0\u7684\u89c6\u89d2\u548c\u65b9\u6cd5\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s9.51cto.com\/oss\/202505\/22\/63098e6490e310bb50f774dcf31561b7412371.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>\u4f7f\u7528AlphaEvolve\u53d1\u73b0\u7684\u7a81\u7834\u6027SOTA\uff08State of the Art\uff09\u6570\u5b66\u6784\u9020\u793a\u4f8b\u4e0a\u56fe\u5c55\u793a\u4e86 AlphaEvolve \u5728\u4e0d\u540c\u6570\u5b66\u9886\u57df\u4e2d\u53d1\u73b0\u7684\u7a81\u7834\u6027\u7ed3\u679c\uff0c\u5305\u62ec\u5206\u6790\u3001\u51e0\u4f55\u548c\u7ec4\u5408\u6570\u5b66\u7b49\u9886\u57df\u3002<\/p>\n<h4>Google \u8ba1\u7b97\u751f\u6001\u7cfb\u7edf\u7684\u4f18\u5316<\/h4>\n<h5>\u6570\u636e\u4e2d\u5fc3\u8c03\u5ea6\u4f18\u5316<\/h5>\n<p>\u6570\u636e\u4e2d\u5fc3\u7684\u9ad8\u6548\u8c03\u5ea6\u5bf9\u4e8e Google \u8fd9\u6837\u7684\u5927\u578b\u79d1\u6280\u516c\u53f8\u6765\u8bf4\u81f3\u5173\u91cd\u8981\u3002\u4f20\u7edf\u7684\u8c03\u5ea6\u65b9\u6cd5\u901a\u5e38\u9700\u8981\u4eba\u5de5\u5e72\u9884\uff0c\u4e14\u96be\u4ee5\u5728\u5927\u89c4\u6a21\u7684\u7cfb\u7edf\u4e2d\u5b9e\u73b0\u6700\u4f18\u7684\u8d44\u6e90\u5206\u914d\u3002AlphaEvolve \u901a\u8fc7\u8fdb\u5316\u7b97\u6cd5\uff0c\u6210\u529f\u5730\u53d1\u73b0\u4e86\u4e00\u79cd\u65b0\u7684\u8c03\u5ea6\u542f\u53d1\u5f0f\u51fd\u6570\uff0c\u663e\u8457\u63d0\u9ad8\u4e86\u6570\u636e\u4e2d\u5fc3\u7684\u8d44\u6e90\u5229\u7528\u7387\u3002<\/p>\n<p>\u5728\u6570\u636e\u4e2d\u5fc3\u8c03\u5ea6\u95ee\u9898\u4e2d\uff0c\u6211\u4eec\u9700\u8981\u6839\u636e\u4efb\u52a1\u7684\u8d44\u6e90\u9700\u6c42\u548c\u673a\u5668\u7684\u53ef\u7528\u8d44\u6e90\uff0c\u5408\u7406\u5730\u5206\u914d\u4efb\u52a1\u5230\u4e0d\u540c\u7684\u673a\u5668\u4e0a\u3002\u4f20\u7edf\u7684\u8c03\u5ea6\u65b9\u6cd5\u53ef\u80fd\u4f1a\u56e0\u4e3a\u8d44\u6e90\u7684\u788e\u7247\u5316\u800c\u5bfc\u81f4\u67d0\u4e9b\u673a\u5668\u65e0\u6cd5\u5145\u5206\u5229\u7528\u5176\u8d44\u6e90\u3002AlphaEvolve \u901a\u8fc7\u8fdb\u5316\u7b97\u6cd5\uff0c\u4f18\u5316\u4e86\u8c03\u5ea6\u51fd\u6570\u7684\u8bbe\u8ba1\uff0c\u4f7f\u5f97\u4efb\u52a1\u80fd\u591f\u66f4\u5408\u7406\u5730\u5206\u914d\u5230\u673a\u5668\u4e0a\uff0c\u4ece\u800c\u51cf\u5c11\u4e86\u8d44\u6e90\u7684\u6d6a\u8d39\u3002<\/p>\n<p>\u5728\u6a21\u62df\u73af\u5883\u4e2d\uff0cAlphaEvolve \u53d1\u73b0\u7684\u8c03\u5ea6\u51fd\u6570\u8868\u73b0\u51fa\u4e86\u4f18\u5f02\u7684\u6027\u80fd\u3002\u4e0e\u4f20\u7edf\u7684\u8c03\u5ea6\u65b9\u6cd5\u76f8\u6bd4\uff0c\u5b83\u80fd\u591f\u5e73\u5747\u56de\u6536 0.7% \u7684\u8ba1\u7b97\u8d44\u6e90\uff0c\u8fd9\u4e9b\u8d44\u6e90\u539f\u672c\u53ef\u80fd\u4f1a\u56e0\u4e3a\u8c03\u5ea6\u4e0d\u5f53\u800c\u88ab\u6d6a\u8d39\u3002\u5728\u5b9e\u9645\u90e8\u7f72\u4e2d\uff0c\u8fd9\u4e00\u8c03\u5ea6\u51fd\u6570\u4e5f\u53d6\u5f97\u4e86\u663e\u8457\u7684\u6548\u679c\uff0c\u4e3a Google \u7684\u6570\u636e\u4e2d\u5fc3\u5e26\u6765\u4e86\u53ef\u89c2\u7684\u8d44\u6e90\u56de\u6536\u6548\u76ca\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s6.51cto.com\/oss\/202505\/22\/b6bb32283c8f6c0f86d1097a01c8c0c241d810.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s4.51cto.com\/oss\/202505\/22\/a7d58fb2963907f1a10995111d63839cffab13.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>\u4e0a\u56fe:\u00a0AlphaEvolve\u53d1\u73b0\u7684\u542f\u53d1\u5f0f\u51fd\u6570\uff0c\u9488\u5bf9\u8c37\u6b4c\u7684\u5de5\u4f5c\u8d1f\u8f7d\u548c\u5bb9\u91cf\u8fdb\u884c\u4e86\u5b9a\u5236\u3002\u4e0b\u56fe:\u00a0\u542f\u53d1\u5f0f\u8bc4\u5206\u51fd\u6570\u7684\u53ef\u89c6\u5316AlphaEvolve \u53d1\u73b0\u7684\u8c03\u5ea6\u542f\u53d1\u5f0f\u51fd\u6570\u53ca\u5176\u53ef\u89c6\u5316\uff0c\u9ec4\u8272\u533a\u57df\u4ee3\u8868\u9ad8\u5206\uff0c\u7d2b\u8272\u533a\u57df\u4ee3\u8868\u4f4e\u5206\u3002<\/p>\n<h5>Gemini \u5185\u6838\u5de5\u7a0b\u589e\u5f3a<\/h5>\n<p>Gemini \u662f Google \u5f00\u53d1\u7684\u4e00\u79cd\u9ad8\u6027\u80fd\u8ba1\u7b97\u67b6\u6784\uff0c\u5176\u5185\u6838\u5de5\u7a0b\u5bf9\u4e8e\u6574\u4e2a\u7cfb\u7edf\u7684\u6027\u80fd\u81f3\u5173\u91cd\u8981\u3002AlphaEvolve \u5728 Gemini \u5185\u6838\u5de5\u7a0b\u4e2d\u53d1\u6325\u4e86\u91cd\u8981\u4f5c\u7528\uff0c\u7279\u522b\u662f\u5728\u77e9\u9635\u4e58\u6cd5\u5185\u6838\u7684\u74f7\u7816\u542f\u53d1\u5f0f\u7b56\u7565\u4f18\u5316\u65b9\u9762\u3002<\/p>\n<p>\u5728\u77e9\u9635\u4e58\u6cd5\u5185\u6838\u4e2d\uff0c\u74f7\u7816\u542f\u53d1\u5f0f\u7b56\u7565\u662f\u4e00\u79cd\u5e38\u7528\u7684\u4f18\u5316\u65b9\u6cd5\u3002\u5b83\u901a\u8fc7\u5c06\u77e9\u9635\u5212\u5206\u4e3a\u66f4\u5c0f\u7684\u5b50\u77e9\u9635\uff08\u5373\u74f7\u7816\uff09\uff0c\u5e76\u5408\u7406\u5730\u5b89\u6392\u8fd9\u4e9b\u74f7\u7816\u7684\u8ba1\u7b97\u987a\u5e8f\uff0c\u4ece\u800c\u63d0\u9ad8\u8ba1\u7b97\u6548\u7387\u3002AlphaEvolve \u901a\u8fc7\u8fdb\u5316\u7b97\u6cd5\uff0c\u4f18\u5316\u4e86\u74f7\u7816\u542f\u53d1\u5f0f\u7b56\u7565\u7684\u8bbe\u8ba1\uff0c\u4f7f\u5f97\u77e9\u9635\u4e58\u6cd5\u5185\u6838\u7684\u6027\u80fd\u5f97\u5230\u4e86\u663e\u8457\u63d0\u5347\u3002<\/p>\n<p>\u5728\u4f18\u5316\u8fc7\u7a0b\u4e2d\uff0cAlphaEvolve \u53d1\u73b0\u4e86\u4e00\u79cd\u65b0\u7684\u74f7\u7816\u5212\u5206\u65b9\u5f0f\u548c\u8ba1\u7b97\u987a\u5e8f\uff0c\u4f7f\u5f97\u77e9\u9635\u4e58\u6cd5\u5185\u6838\u7684\u8ba1\u7b97\u901f\u5ea6\u63d0\u9ad8\u4e86 23%\u3002\u8fd9\u4e00\u6210\u679c\u4e0d\u4ec5\u63d0\u5347\u4e86 Gemini \u5185\u6838\u7684\u6027\u80fd\uff0c\u8fd8\u5bf9\u6574\u4e2a Gemini \u67b6\u6784\u7684\u8bad\u7ec3\u65f6\u95f4\u4ea7\u751f\u4e86\u79ef\u6781\u7684\u5f71\u54cd\u3002\u901a\u8fc7\u51cf\u5c11\u5185\u6838\u7684\u8ba1\u7b97\u65f6\u95f4\uff0cGemini \u7684\u6574\u4f53\u8bad\u7ec3\u65f6\u95f4\u4e5f\u76f8\u5e94\u5730\u7f29\u77ed\u4e86 1%\uff0c\u4ece\u800c\u4e3a Google \u7684\u5927\u89c4\u6a21\u673a\u5668\u5b66\u4e60\u6a21\u578b\u8bad\u7ec3\u63d0\u4f9b\u4e86\u66f4\u9ad8\u6548\u7684\u652f\u6301\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s5.51cto.com\/oss\/202505\/22\/b3b0c0e484abe62d1d5535daa7f33da382a037.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>\u77e9\u9635\u4e58\u6cd5 \\(AB = C\\) \u7684\u5e73\u94fa\u542f\u53d1\u5f0f\u95ee\u9898\u53ef\u89c6\u5316\u4e0a\u56fe\u5c55\u793a\u4e86\u77e9\u9635\u4e58\u6cd5\u5185\u6838\u7684\u74f7\u7816\u542f\u53d1\u5f0f\u7b56\u7565\u4f18\u5316\u95ee\u9898\u7684\u53ef\u89c6\u5316\uff0c\u5e2e\u52a9\u7406\u89e3\u5982\u4f55\u901a\u8fc7 AlphaEvolve \u4f18\u5316\u74f7\u7816\u5212\u5206\u548c\u8ba1\u7b97\u987a\u5e8f\u3002<\/p>\n<h5>\u786c\u4ef6\u7535\u8def\u8bbe\u8ba1\u8f85\u52a9<\/h5>\n<p>\u786c\u4ef6\u7535\u8def\u8bbe\u8ba1\u662f\u4e00\u4e2a\u590d\u6742\u4e14\u8017\u65f6\u7684\u8fc7\u7a0b\uff0c\u5c24\u5176\u662f\u5728 RTL\uff08\u5bc4\u5b58\u5668\u4f20\u8f93\u7ea7\uff09\u4f18\u5316\u9636\u6bb5\u3002\u4f20\u7edf\u7684 RTL \u4f18\u5316\u901a\u5e38\u9700\u8981\u4eba\u5de5\u7f16\u5199\u548c\u8c03\u8bd5\u4ee3\u7801\uff0c\u8fd9\u4e0d\u4ec5\u6548\u7387\u4f4e\u4e0b\uff0c\u800c\u4e14\u5bb9\u6613\u51fa\u9519\u3002AlphaEvolve \u5728\u786c\u4ef6\u7535\u8def\u8bbe\u8ba1\u4e2d\u53d1\u6325\u4e86\u91cd\u8981\u7684\u8f85\u52a9\u4f5c\u7528\uff0c\u7279\u522b\u662f\u5728 TPU\uff08\u5f20\u91cf\u5904\u7406\u5355\u5143\uff09\u7684\u7b97\u672f\u7535\u8def\u4f18\u5316\u65b9\u9762\u3002<\/p>\n<p>\u5728 TPU \u7684\u7b97\u672f\u7535\u8def\u8bbe\u8ba1\u4e2d\uff0cAlphaEvolve \u901a\u8fc7\u8fdb\u5316\u7b97\u6cd5\uff0c\u53d1\u73b0\u4e86\u4e00\u79cd\u65b0\u7684\u4ee3\u7801\u6539\u5199\u65b9\u5f0f\uff0c\u80fd\u591f\u51cf\u5c11\u7535\u8def\u7684\u9762\u79ef\u548c\u529f\u8017\u3002\u5177\u4f53\u6765\u8bf4\uff0cAlphaEvolve \u53d1\u73b0\u4e86\u4e00\u79cd\u65b0\u7684\u7535\u8def\u7ed3\u6784\uff0c\u901a\u8fc7\u53bb\u9664\u4e00\u4e9b\u4e0d\u5fc5\u8981\u7684\u903b\u8f91\u95e8\uff0c\u51cf\u5c11\u4e86\u7535\u8def\u7684\u9762\u79ef\u3002\u540c\u65f6\uff0c\u5b83\u8fd8\u4f18\u5316\u4e86\u7535\u8def\u7684\u65f6\u949f\u4fe1\u53f7\u8bbe\u8ba1\uff0c\u964d\u4f4e\u4e86\u7535\u8def\u7684\u529f\u8017\u3002\u8fd9\u4e9b\u4f18\u5316\u4e0d\u4ec5\u63d0\u9ad8\u4e86\u7535\u8def\u7684\u6027\u80fd\uff0c\u8fd8\u4fdd\u8bc1\u4e86\u529f\u80fd\u7684\u6b63\u786e\u6027\u3002<\/p>\n<p>\u5728\u4f18\u5316\u540e\u7684\u7535\u8def\u8bbe\u8ba1\u4e2d\uff0cTPU \u7684\u9762\u79ef\u51cf\u5c11\u4e86 10%\uff0c\u529f\u8017\u964d\u4f4e\u4e86 15%\u3002\u8fd9\u4e9b\u6210\u679c\u4e0d\u4ec5\u5c55\u793a\u4e86 AlphaEvolve \u5728\u786c\u4ef6\u7535\u8def\u8bbe\u8ba1\u4e2d\u7684\u5f3a\u5927\u80fd\u529b\uff0c\u8fd8\u4e3a\u672a\u6765\u7684\u786c\u4ef6\u8bbe\u8ba1\u63d0\u4f9b\u4e86\u65b0\u7684\u601d\u8def\u548c\u65b9\u6cd5\u3002<\/p>\n<h5>\u7f16\u8bd1\u5668\u751f\u6210\u4ee3\u7801\u7684\u76f4\u63a5\u4f18\u5316<\/h5>\n<p>\u7f16\u8bd1\u5668\u751f\u6210\u4ee3\u7801\u7684\u4f18\u5316\u662f\u4e00\u4e2a\u6781\u5177\u6311\u6218\u6027\u7684\u4efb\u52a1\uff0c\u5c24\u5176\u662f\u5728\u4fdd\u6301\u4ee3\u7801\u6b63\u786e\u6027\u7684\u524d\u63d0\u4e0b\u3002\u4f20\u7edf\u7684\u4f18\u5316\u65b9\u6cd5\u901a\u5e38\u9700\u8981\u4eba\u5de5\u7f16\u5199\u548c\u8c03\u8bd5\u4ee3\u7801\uff0c\u8fd9\u4e0d\u4ec5\u6548\u7387\u4f4e\u4e0b\uff0c\u800c\u4e14\u5bb9\u6613\u51fa\u9519\u3002AlphaEvolve \u5728\u7f16\u8bd1\u5668\u751f\u6210\u4ee3\u7801\u7684\u76f4\u63a5\u4f18\u5316\u65b9\u9762\u53d6\u5f97\u4e86\u663e\u8457\u7684\u6210\u679c\uff0c\u7279\u522b\u662f\u5728 FlashAttention \u5185\u6838\u53ca\u5176\u76f8\u5173\u9884\u5904\u7406\u548c\u540e\u5904\u7406\u4ee3\u7801\u7684\u4f18\u5316\u65b9\u9762\u3002<\/p>\n<p>FlashAttention \u662f\u4e00\u79cd\u9ad8\u6548\u7684\u6ce8\u610f\u529b\u673a\u5236\u5b9e\u73b0\uff0c\u5e7f\u6cdb\u5e94\u7528\u4e8e Transformer \u6a21\u578b\u4e2d\u3002\u5728\u4f18\u5316\u8fc7\u7a0b\u4e2d\uff0cAlphaEvolve \u901a\u8fc7\u8fdb\u5316\u7b97\u6cd5\uff0c\u76f4\u63a5\u5bf9\u7f16\u8bd1\u5668\u751f\u6210\u7684 FlashAttention \u5185\u6838\u4ee3\u7801\u8fdb\u884c\u4f18\u5316\u3002\u5b83\u53d1\u73b0\u4e86\u4e00\u79cd\u65b0\u7684\u4ee3\u7801\u7ed3\u6784\uff0c\u901a\u8fc7\u51cf\u5c11\u4e0d\u5fc5\u8981\u7684\u8ba1\u7b97\u548c\u4f18\u5316\u5185\u5b58\u8bbf\u95ee\u6a21\u5f0f\uff0c\u63d0\u9ad8\u4e86\u5185\u6838\u7684\u6027\u80fd\u3002<\/p>\n<p>\u5728\u4f18\u5316\u540e\u7684 FlashAttention \u5185\u6838\u4e2d\uff0c\u8ba1\u7b97\u901f\u5ea6\u63d0\u9ad8\u4e86 32%\uff0c\u540c\u65f6\u9884\u5904\u7406\u548c\u540e\u5904\u7406\u4ee3\u7801\u7684\u6027\u80fd\u4e5f\u63d0\u9ad8\u4e86 15%\u3002\u8fd9\u4e9b\u6210\u679c\u4e0d\u4ec5\u5c55\u793a\u4e86 AlphaEvolve \u5728\u7f16\u8bd1\u5668\u751f\u6210\u4ee3\u7801\u4f18\u5316\u4e2d\u7684\u5f3a\u5927\u80fd\u529b\uff0c\u8fd8\u4e3a\u672a\u6765\u7684\u7f16\u8bd1\u5668\u8bbe\u8ba1\u63d0\u4f9b\u4e86\u65b0\u7684\u601d\u8def\u548c\u65b9\u6cd5\u3002<\/p>\n<h4>\u5176\u4ed6\u6f5c\u5728\u9886\u57df\u5e94\u7528\u62d3\u5c55<\/h4>\n<h5>\u751f\u7269\u4fe1\u606f\u5b66\u9886\u57df<\/h5>\n<p>\u5728\u751f\u7269\u4fe1\u606f\u5b66\u9886\u57df\uff0c\u57fa\u56e0\u5e8f\u5217\u5206\u6790\u548c\u86cb\u767d\u8d28\u7ed3\u6784\u9884\u6d4b\u662f\u4e24\u4e2a\u5173\u952e\u7684\u7814\u7a76\u65b9\u5411\u3002\u4f20\u7edf\u7684\u7b97\u6cd5\u5728\u5904\u7406\u5927\u89c4\u6a21\u751f\u7269\u6570\u636e\u65f6\u5f80\u5f80\u9762\u4e34\u6548\u7387\u548c\u51c6\u786e\u6027\u7684\u6311\u6218\u3002AlphaEvolve \u6709\u671b\u5728\u8fd9\u4e9b\u9886\u57df\u53d1\u6325\u91cd\u8981\u4f5c\u7528\uff0c\u901a\u8fc7\u8fdb\u5316\u7b97\u6cd5\u53d1\u73b0\u66f4\u9ad8\u6548\u7684\u57fa\u56e0\u6bd4\u5bf9\u7b97\u6cd5\u548c\u86cb\u767d\u8d28\u7ed3\u6784\u9884\u6d4b\u6a21\u578b\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5728\u57fa\u56e0\u5e8f\u5217\u6bd4\u5bf9\u4e2d\uff0c\u4f20\u7edf\u7684\u52a8\u6001\u89c4\u5212\u7b97\u6cd5\u867d\u7136\u80fd\u591f\u4fdd\u8bc1\u6bd4\u5bf9\u7684\u51c6\u786e\u6027\uff0c\u4f46\u8ba1\u7b97\u6548\u7387\u8f83\u4f4e\u3002AlphaEvolve \u53ef\u4ee5\u901a\u8fc7\u8fdb\u5316\u7b97\u6cd5\uff0c\u4f18\u5316\u6bd4\u5bf9\u7b97\u6cd5\u7684\u8bbe\u8ba1\uff0c\u63d0\u9ad8\u6bd4\u5bf9\u901f\u5ea6\uff0c\u540c\u65f6\u4fdd\u6301\u8f83\u9ad8\u7684\u51c6\u786e\u6027\u3002\u5728\u86cb\u767d\u8d28\u7ed3\u6784\u9884\u6d4b\u65b9\u9762\uff0cAlphaEvolve \u53ef\u4ee5\u901a\u8fc7\u8fdb\u5316\u7b97\u6cd5\uff0c\u4f18\u5316\u9884\u6d4b\u6a21\u578b\u7684\u7ed3\u6784\u548c\u53c2\u6570\uff0c\u63d0\u9ad8\u9884\u6d4b\u7684\u51c6\u786e\u6027\u548c\u6548\u7387\u3002<\/p>\n<h5>\u91d1\u878d\u6570\u636e\u5206\u6790\u9886\u57df<\/h5>\n<p>\u5728\u91d1\u878d\u6570\u636e\u5206\u6790\u9886\u57df\uff0c\u98ce\u9669\u8bc4\u4f30\u6a21\u578b\u548c\u4ea4\u6613\u7b56\u7565\u7b97\u6cd5\u7684\u4f18\u5316\u5bf9\u4e8e\u91d1\u878d\u673a\u6784\u7684\u51b3\u7b56\u6548\u7387\u548c\u98ce\u9669\u7ba1\u7406\u80fd\u529b\u81f3\u5173\u91cd\u8981\u3002\u4f20\u7edf\u7684\u4f18\u5316\u65b9\u6cd5\u901a\u5e38\u9700\u8981\u4eba\u5de5\u5e72\u9884\uff0c\u4e14\u96be\u4ee5\u5728\u590d\u6742\u7684\u91d1\u878d\u5e02\u573a\u73af\u5883\u4e2d\u5b9e\u73b0\u6700\u4f18\u7684\u89e3\u51b3\u65b9\u6848\u3002AlphaEvolve \u53ef\u4ee5\u4e3a\u8fd9\u4e9b\u9886\u57df\u63d0\u4f9b\u65b0\u7684\u601d\u8def\u548c\u65b9\u6cd5\uff0c\u901a\u8fc7\u8fdb\u5316\u7b97\u6cd5\u4f18\u5316\u98ce\u9669\u8bc4\u4f30\u6a21\u578b\u548c\u4ea4\u6613\u7b56\u7565\u7b97\u6cd5\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5728\u98ce\u9669\u8bc4\u4f30\u6a21\u578b\u4e2d\uff0cAlphaEvolve \u53ef\u4ee5\u901a\u8fc7\u8fdb\u5316\u7b97\u6cd5\uff0c\u4f18\u5316\u6a21\u578b\u7684\u53c2\u6570\u548c\u7ed3\u6784\uff0c\u63d0\u9ad8\u6a21\u578b\u7684\u51c6\u786e\u6027\u548c\u9c81\u68d2\u6027\u3002\u5728\u4ea4\u6613\u7b56\u7565\u7b97\u6cd5\u4e2d\uff0cAlphaEvolve \u53ef\u4ee5\u901a\u8fc7\u8fdb\u5316\u7b97\u6cd5\uff0c\u4f18\u5316\u7b97\u6cd5\u7684\u4ea4\u6613\u89c4\u5219\u548c\u53c2\u6570\uff0c\u63d0\u9ad8\u4ea4\u6613\u7b56\u7565\u7684\u6536\u76ca\u548c\u98ce\u9669\u63a7\u5236\u80fd\u529b\u3002<\/p>\n<h5>\u7269\u6d41\u4f18\u5316\u9886\u57df<\/h5>\n<p>\u5728\u7269\u6d41\u9886\u57df\uff0c\u914d\u9001\u8def\u7ebf\u89c4\u5212\u548c\u5e93\u5b58\u7ba1\u7406\u662f\u4e24\u4e2a\u5173\u952e\u7684\u4f18\u5316\u95ee\u9898\u3002\u4f20\u7edf\u7684\u4f18\u5316\u65b9\u6cd5\u901a\u5e38\u9700\u8981\u4eba\u5de5\u5e72\u9884\uff0c\u4e14\u96be\u4ee5\u5728\u5927\u89c4\u6a21\u7684\u7269\u6d41\u7cfb\u7edf\u4e2d\u5b9e\u73b0\u6700\u4f18\u7684\u89e3\u51b3\u65b9\u6848\u3002AlphaEvolve \u53ef\u4ee5\u4e3a\u8fd9\u4e9b\u9886\u57df\u63d0\u4f9b\u65b0\u7684\u601d\u8def\u548c\u65b9\u6cd5\uff0c\u901a\u8fc7\u8fdb\u5316\u7b97\u6cd5\u4f18\u5316\u914d\u9001\u8def\u7ebf\u89c4\u5212\u548c\u5e93\u5b58\u7ba1\u7406\u7b56\u7565\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5728\u914d\u9001\u8def\u7ebf\u89c4\u5212\u4e2d\uff0cAlphaEvolve \u53ef\u4ee5\u901a\u8fc7\u8fdb\u5316\u7b97\u6cd5\uff0c\u4f18\u5316\u8def\u7ebf\u7684\u89c4\u5212\u548c\u8c03\u5ea6\uff0c\u51cf\u5c11\u914d\u9001\u65f6\u95f4\u548c\u6210\u672c\u3002\u5728\u5e93\u5b58\u7ba1\u7406\u4e2d\uff0cAlphaEvolve \u53ef\u4ee5\u901a\u8fc7\u8fdb\u5316\u7b97\u6cd5\uff0c\u4f18\u5316\u5e93\u5b58\u7684\u5b58\u50a8\u548c\u8865\u8d27\u7b56\u7565\uff0c\u63d0\u9ad8\u5e93\u5b58\u7684\u5229\u7528\u7387\u548c\u5468\u8f6c\u7387\u3002<\/p>\n<h3>\u5b9e\u9a8c\u4e0e\u5206\u6790<\/h3>\n<h4>\u5b9e\u9a8c\u8bbe\u8ba1\u4e0e\u8bc4\u4f30\u6307\u6807<\/h4>\n<p>\u5728\u4e0d\u540c\u7684\u5e94\u7528\u573a\u666f\u4e2d\uff0cAlphaEvolve \u7684\u5b9e\u9a8c\u8bbe\u8ba1\u548c\u8bc4\u4f30\u6307\u6807\u5404\u6709\u4e0d\u540c\u3002\u4f8b\u5982\uff0c\u5728\u77e9\u9635\u4e58\u6cd5\u4f18\u5316\u4e2d\uff0c\u8bc4\u4f30\u6307\u6807\u4e3b\u8981\u662f\u4e58\u6cd5\u64cd\u4f5c\u7684\u6b21\u6570\u548c\u8ba1\u7b97\u65f6\u95f4\uff1b\u5728\u6570\u5b66\u95ee\u9898\u63a2\u7d22\u4e2d\uff0c\u8bc4\u4f30\u6307\u6807\u662f\u95ee\u9898\u7684\u6700\u4f18\u89e3\u6216\u8fd1\u4f3c\u6700\u4f18\u89e3\uff1b\u5728\u6570\u636e\u4e2d\u5fc3\u8c03\u5ea6\u4f18\u5316\u4e2d\uff0c\u8bc4\u4f30\u6307\u6807\u662f\u8d44\u6e90\u5229\u7528\u7387\u548c\u4efb\u52a1\u5b8c\u6210\u65f6\u95f4\uff1b\u5728 Gemini \u5185\u6838\u5de5\u7a0b\u4e2d\uff0c\u8bc4\u4f30\u6307\u6807\u662f\u5185\u6838\u7684\u8ba1\u7b97\u901f\u5ea6\u548c\u8bad\u7ec3\u65f6\u95f4\uff1b\u5728\u786c\u4ef6\u7535\u8def\u8bbe\u8ba1\u4e2d\uff0c\u8bc4\u4f30\u6307\u6807\u662f\u7535\u8def\u7684\u9762\u79ef\u548c\u529f\u8017\uff1b\u5728\u7f16\u8bd1\u5668\u751f\u6210\u4ee3\u7801\u7684\u4f18\u5316\u4e2d\uff0c\u8bc4\u4f30\u6307\u6807\u662f\u4ee3\u7801\u7684\u6267\u884c\u6548\u7387\u548c\u6b63\u786e\u6027\u3002<\/p>\n<p>\u5728\u5b9e\u9a8c\u8bbe\u8ba1\u4e2d\uff0cAlphaEvolve \u91c7\u7528\u4e86\u81ea\u52a8\u5316\u8bc4\u4f30\u65b9\u6cd5\uff0c\u901a\u8fc7\u8bc4\u4f30\u51fd\u6570\u5bf9\u751f\u6210\u7684\u4ee3\u7801\u4fee\u6539\u5efa\u8bae\u8fdb\u884c\u91cf\u5316\u8bc4\u4f30\u3002\u8fd9\u79cd\u65b9\u6cd5\u4e0d\u4ec5\u80fd\u591f\u63d0\u9ad8\u8bc4\u4f30\u7684\u6548\u7387\uff0c\u8fd8\u80fd\u591f\u786e\u4fdd\u8bc4\u4f30\u7684\u51c6\u786e\u6027\u548c\u5ba2\u89c2\u6027\u3002\u4f8b\u5982\uff0c\u5728\u77e9\u9635\u4e58\u6cd5\u4f18\u5316\u5b9e\u9a8c\u4e2d\uff0cAlphaEvolve \u901a\u8fc7\u81ea\u52a8\u5316\u8bc4\u4f30\u51fd\u6570\uff0c\u5bf9\u751f\u6210\u7684\u77e9\u9635\u4e58\u6cd5\u7b97\u6cd5\u8fdb\u884c\u6027\u80fd\u6d4b\u8bd5\uff0c\u8bb0\u5f55\u4e58\u6cd5\u64cd\u4f5c\u7684\u6b21\u6570\u548c\u8ba1\u7b97\u65f6\u95f4\u3002\u901a\u8fc7\u8fd9\u4e9b\u91cf\u5316\u6570\u636e\uff0c\u53ef\u4ee5\u6e05\u6670\u5730\u8bc4\u4f30\u7b97\u6cd5\u7684\u6027\u80fd\u63d0\u5347\u6548\u679c\u3002<\/p>\n<h4>\u7ed3\u679c\u5206\u6790\u4e0e\u8ba8\u8bba<\/h4>\n<p>AlphaEvolve \u5728\u5404\u4e2a\u5e94\u7528\u573a\u666f\u4e2d\u90fd\u53d6\u5f97\u4e86\u663e\u8457\u7684\u6210\u679c\u3002\u5728\u77e9\u9635\u4e58\u6cd5\u4f18\u5316\u4e2d\uff0cAlphaEvolve \u53d1\u73b0\u7684\u7b97\u6cd5\u5c06 4\u00d74 \u590d\u6570\u77e9\u9635\u4e58\u6cd5\u7684\u4e58\u6cd5\u64cd\u4f5c\u6b21\u6570\u4ece 49 \u6b21\u964d\u4f4e\u5230\u4e86 48 \u6b21\uff0c\u8fd9\u4e00\u6210\u679c\u4e0d\u4ec5\u5728\u7406\u8bba\u4e0a\u53d6\u5f97\u4e86\u7a81\u7834\uff0c\u800c\u4e14\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\u4e5f\u5177\u6709\u91cd\u8981\u7684\u610f\u4e49\u3002\u5728\u6570\u5b66\u95ee\u9898\u63a2\u7d22\u4e2d\uff0cAlphaEvolve \u5728\u8d85\u8fc7 50 \u4e2a\u6570\u5b66\u95ee\u9898\u4e0a\u53d6\u5f97\u4e86\u4f18\u5f02\u7684\u8868\u73b0\uff0c\u5339\u914d\u4e86\u5927\u591a\u6570\u5df2\u77e5\u7684\u6700\u4f73\u89e3\uff0c\u5e76\u5728\u7ea6 20% \u7684\u95ee\u9898\u4e0a\u53d1\u73b0\u4e86\u65b0\u7684\u3001\u66f4\u4f18\u7684\u89e3\u6cd5\u3002\u5728\u6570\u636e\u4e2d\u5fc3\u8c03\u5ea6\u4f18\u5316\u4e2d\uff0cAlphaEvolve \u53d1\u73b0\u7684\u8c03\u5ea6\u51fd\u6570\u80fd\u591f\u5e73\u5747\u56de\u6536 0.7% \u7684\u8ba1\u7b97\u8d44\u6e90\uff0c\u663e\u8457\u63d0\u9ad8\u4e86\u6570\u636e\u4e2d\u5fc3\u7684\u8d44\u6e90\u5229\u7528\u7387\u3002\u5728 Gemini \u5185\u6838\u5de5\u7a0b\u4e2d\uff0cAlphaEvolve \u4f18\u5316\u7684\u77e9\u9635\u4e58\u6cd5\u5185\u6838\u8ba1\u7b97\u901f\u5ea6\u63d0\u9ad8\u4e86 23%\uff0c\u6574\u4f53\u8bad\u7ec3\u65f6\u95f4\u7f29\u77ed\u4e86 1%\u3002\u5728\u786c\u4ef6\u7535\u8def\u8bbe\u8ba1\u4e2d\uff0cAlphaEvolve \u4f18\u5316\u7684\u7535\u8def\u9762\u79ef\u51cf\u5c11\u4e86 10%\uff0c\u529f\u8017\u964d\u4f4e\u4e86 15%\u3002\u5728\u7f16\u8bd1\u5668\u751f\u6210\u4ee3\u7801\u7684\u4f18\u5316\u4e2d\uff0cAlphaEvolve \u4f18\u5316\u7684 FlashAttention \u5185\u6838\u8ba1\u7b97\u901f\u5ea6\u63d0\u9ad8\u4e86 32%\uff0c\u9884\u5904\u7406\u548c\u540e\u5904\u7406\u4ee3\u7801\u7684\u6027\u80fd\u63d0\u9ad8\u4e86 15%\u3002<\/p>\n<p>\u8fd9\u4e9b\u6210\u679c\u4e0d\u4ec5\u5c55\u793a\u4e86 AlphaEvolve \u5728\u5404\u4e2a\u9886\u57df\u7684\u5f3a\u5927\u80fd\u529b\uff0c\u8fd8\u4e3a\u76f8\u5173\u9886\u57df\u7684\u7814\u7a76\u548c\u5b9e\u8df5\u63d0\u4f9b\u4e86\u65b0\u7684\u601d\u8def\u548c\u65b9\u6cd5\u3002\u4f8b\u5982\uff0c\u5728\u77e9\u9635\u4e58\u6cd5\u4f18\u5316\u4e2d\uff0cAlphaEvolve \u7684\u6210\u679c\u4e3a\u6df1\u5ea6\u5b66\u4e60\u6a21\u578b\u7684\u8bad\u7ec3\u63d0\u4f9b\u4e86\u66f4\u9ad8\u6548\u7684\u8ba1\u7b97\u652f\u6301\uff1b\u5728\u6570\u5b66\u95ee\u9898\u63a2\u7d22\u4e2d\uff0cAlphaEvolve \u7684\u6210\u679c\u4e3a\u6570\u5b66\u7814\u7a76\u63d0\u4f9b\u4e86\u65b0\u7684\u5de5\u5177\u548c\u65b9\u6cd5\uff1b\u5728\u6570\u636e\u4e2d\u5fc3\u8c03\u5ea6\u4f18\u5316\u4e2d\uff0cAlphaEvolve \u7684\u6210\u679c\u4e3a\u5927\u89c4\u6a21\u8ba1\u7b97\u7cfb\u7edf\u7684\u8d44\u6e90\u7ba1\u7406\u63d0\u4f9b\u4e86\u66f4\u9ad8\u6548\u7684\u89e3\u51b3\u65b9\u6848\uff1b\u5728 Gemini \u5185\u6838\u5de5\u7a0b\u4e2d\uff0cAlphaEvolve \u7684\u6210\u679c\u4e3a\u9ad8\u6027\u80fd\u8ba1\u7b97\u67b6\u6784\u7684\u8bbe\u8ba1\u63d0\u4f9b\u4e86\u65b0\u7684\u4f18\u5316\u7b56\u7565\uff1b\u5728\u786c\u4ef6\u7535\u8def\u8bbe\u8ba1\u4e2d\uff0cAlphaEvolve \u7684\u6210\u679c\u4e3a\u786c\u4ef6\u8bbe\u8ba1\u63d0\u4f9b\u4e86\u65b0\u7684\u4f18\u5316\u65b9\u6cd5\uff1b\u5728\u7f16\u8bd1\u5668\u751f\u6210\u4ee3\u7801\u7684\u4f18\u5316\u4e2d\uff0cAlphaEvolve \u7684\u6210\u679c\u4e3a\u7f16\u8bd1\u5668\u8bbe\u8ba1\u63d0\u4f9b\u4e86\u65b0\u7684\u4f18\u5316\u601d\u8def\u3002<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s2.51cto.com\/oss\/202505\/22\/a15c1a33371f204c8323667f14582f17caf711.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>AlphaEvolve\u5728\u5bfb\u627e\u4f4e\u79e9\u5f20\u91cf\u5206\u89e3\u4ee5\u5b9e\u73b0\u66f4\u5feb\u77e9\u9635\u4e58\u6cd5\u95ee\u9898\u4e0a\u7684\u6d88\u878d\u7814\u7a76<\/p>\n<p><img decoding=\"async\" title=\"\u56fe\u7247\" src=\"https:\/\/s6.51cto.com\/oss\/202505\/22\/927b36199379a88fe50856b328bdfa07b73b26.webp\" alt=\"\u56fe\u7247\" data-type=\"inline\" \/><\/p>\n<p>AlphaEvolve\u5728\u63d0\u9ad8\u7403\u4f53\u5806\u79ef\u95ee\u9898\u7684\u63a5\u89e6\u6570\u65b9\u9762\u7684\u6d88\u878d\u7814\u7a76<\/p>\n<p>\u4ee5\u4e0a\u4e24\u56fe\u5c55\u793a\u4e86 AlphaEvolve \u5728\u77e9\u9635\u4e58\u6cd5\u4f18\u5316\u548c\u4eb2\u543b\u6570\u95ee\u9898\u4e0a\u7684\u6d88\u878d\u5b9e\u9a8c\u7ed3\u679c\uff0c\u53ef\u4ee5\u770b\u5230\u4e0d\u540c\u914d\u7f6e\u4e0b\u7684\u6027\u80fd\u8868\u73b0\u3002<\/p>\n<h3>\u76f8\u5173\u5de5\u4f5c\u4e0e\u6bd4\u8f83<\/h3>\n<h4>\u8fdb\u5316\u65b9\u6cd5\u7684\u53d1\u5c55<\/h4>\n<p>\u8fdb\u5316\u8ba1\u7b97\u6216\u9057\u4f20\u7f16\u7a0b\u662f\u4e00\u79cd\u7ecf\u5178\u7684\u4f18\u5316\u65b9\u6cd5\uff0c\u5b83\u901a\u8fc7\u6a21\u62df\u751f\u7269\u8fdb\u5316\u8fc7\u7a0b\uff0c\u5229\u7528\u53d8\u5f02\u3001\u4ea4\u53c9\u548c\u9009\u62e9\u7b49\u64cd\u4f5c\uff0c\u9010\u6b65\u4f18\u5316\u95ee\u9898\u7684\u89e3\u3002\u4f20\u7edf\u8fdb\u5316\u65b9\u6cd5\u5728\u7b26\u53f7\u56de\u5f52\u3001\u81ea\u52a8\u79d1\u5b66\u53d1\u73b0\u548c\u7b97\u6cd5\u8bbe\u8ba1\u7b49\u9886\u57df\u53d6\u5f97\u4e86\u5e7f\u6cdb\u7684\u5e94\u7528\u3002\u7136\u800c\uff0c\u4f20\u7edf\u8fdb\u5316\u65b9\u6cd5\u7684\u4e00\u4e2a\u4e3b\u8981\u95ee\u9898\u662f\u9700\u8981\u4eba\u5de5\u8bbe\u8ba1\u53d8\u5f02\u548c\u4ea4\u53c9\u64cd\u4f5c\u7b26\uff0c\u8fd9\u4e0d\u4ec5\u589e\u52a0\u4e86\u7b97\u6cd5\u7684\u590d\u6742\u6027\uff0c\u8fd8\u53ef\u80fd\u9650\u5236\u7b97\u6cd5\u7684\u4f18\u5316\u80fd\u529b\u3002<\/p>\n<blockquote><p>\u4ec0\u4e48\u662f\u7b26\u53f7\u56de\u5f52\uff1f<\/p>\n<p>\u7b26\u53f7\u56de\u5f52\u662f\u4e00\u79cd\u6570\u5b66\u5efa\u6a21\u65b9\u6cd5\u3002\u5c31\u662f\u7528\u8ba1\u7b97\u673a\u6765\u201c\u731c\u201d\u4e00\u4e2a\u6570\u5b66\u516c\u5f0f\u3002\u6bd4\u5982\u6211\u4eec\u6709\u4e00\u5806\u6570\u636e\u70b9\uff0c\u7b26\u53f7\u56de\u5f52\u4f1a\u901a\u8fc7\u5c1d\u8bd5\u4e0d\u540c\u7684\u6570\u5b66\u7b26\u53f7\uff08\u5982\u52a0\u51cf\u4e58\u9664\u3001\u5e73\u65b9\u3001\u5f00\u65b9\u7b49\uff09\u548c\u53d8\u91cf\u7ec4\u5408\uff0c\u627e\u5230\u4e00\u4e2a\u6700\u5408\u9002\u7684\u516c\u5f0f\uff0c\u8ba9\u8fd9\u4e2a\u516c\u5f0f\u8ba1\u7b97\u51fa\u6765\u7684\u7ed3\u679c\u5c3d\u53ef\u80fd\u63a5\u8fd1\u771f\u5b9e\u7684\u6570\u503c\u3002\u5c31\u597d\u6bd4\u7ed9\u8ba1\u7b97\u673a\u51fa\u4e86\u4e00\u9053\u201c\u62fc\u56fe\u9898\u201d\uff0c\u8ba9\u5b83\u7528\u6709\u9650\u7684\u7b26\u53f7\u62fc\u51fa\u4e00\u4e2a\u80fd\u89e3\u91ca\u6570\u636e\u89c4\u5f8b\u7684\u516c\u5f0f\uff0c\u8fd9\u4e2a\u516c\u5f0f\u53ef\u4ee5\u7528\u6765\u9884\u6d4b\u65b0\u7684\u6570\u636e\u6216\u8005\u7406\u89e3\u6570\u636e\u80cc\u540e\u7684\u89c4\u5f8b\u3002<\/p><\/blockquote>\n<p>AlphaEvolve \u901a\u8fc7\u5229\u7528 LLM \u81ea\u52a8\u6784\u5efa\u8fdb\u5316\u64cd\u4f5c\u7b26\uff0c\u514b\u670d\u4e86\u4f20\u7edf\u8fdb\u5316\u65b9\u6cd5\u7684\u8fd9\u4e00\u5c40\u9650\u6027\u3002LLM \u5177\u5907\u5f3a\u5927\u7684\u8bed\u8a00\u7406\u89e3\u548c\u751f\u6210\u80fd\u529b\uff0c\u80fd\u591f\u81ea\u52a8\u5730\u751f\u6210\u591a\u6837\u5316\u7684\u4ee3\u7801\u4fee\u6539\u5efa\u8bae\uff0c\u4ece\u800c\u4e3a\u8fdb\u5316\u7b97\u6cd5\u63d0\u4f9b\u4e86\u66f4\u4e30\u5bcc\u7684\u5019\u9009\u89e3\u3002\u4f8b\u5982\uff0c\u5728\u77e9\u9635\u4e58\u6cd5\u4f18\u5316\u4e2d\uff0cAlphaEvolve \u901a\u8fc7 LLM \u81ea\u52a8\u751f\u6210\u7684\u4ee3\u7801\u4fee\u6539\u5efa\u8bae\uff0c\u80fd\u591f\u5feb\u901f\u5730\u63a2\u7d22\u4e0d\u540c\u7684\u4f18\u5316\u7b56\u7565\uff0c\u4ece\u800c\u627e\u5230\u66f4\u4f18\u7684\u89e3\u3002\u8fd9\u79cd\u65b9\u6cd5\u4e0d\u4ec5\u63d0\u9ad8\u4e86\u8fdb\u5316\u7b97\u6cd5\u7684\u6548\u7387\uff0c\u8fd8\u589e\u5f3a\u4e86\u5176\u4f18\u5316\u80fd\u529b\u3002<\/p>\n<p>\u8fd1\u5e74\u6765\uff0c\u7ed3\u5408 LLM \u548c\u8fdb\u5316\u7b97\u6cd5\u7684\u7814\u7a76\u9010\u6e10\u6210\u4e3a\u4e00\u79cd\u65b0\u7684\u8d8b\u52bf\u3002\u4f8b\u5982\uff0cFunSearch \u662f\u4e00\u79cd\u57fa\u4e8e LLM \u7684\u8fdb\u5316\u7b97\u6cd5\uff0c\u5b83\u901a\u8fc7\u8fdb\u5316\u641c\u7d22\u53d1\u73b0\u4e86\u591a\u79cd\u65b0\u7684\u6570\u5b66\u6784\u9020\u548c\u7b97\u6cd5\u3002\u7136\u800c\uff0cFunSearch \u5728\u89c4\u6a21\u3001\u7075\u6d3b\u6027\u548c\u901a\u7528\u6027\u65b9\u9762\u4ecd\u7136\u5b58\u5728\u4e00\u5b9a\u7684\u5c40\u9650\u6027\u3002AlphaEvolve \u5728 FunSearch \u7684\u57fa\u7840\u4e0a\u8fdb\u884c\u4e86\u663e\u8457\u7684\u6539\u8fdb\uff0c\u5b83\u4e0d\u4ec5\u80fd\u591f\u8fdb\u5316\u66f4\u5927\u7684\u4ee3\u7801\u7247\u6bb5\uff0c\u8fd8\u652f\u6301\u591a\u79cd\u7f16\u7a0b\u8bed\u8a00\uff0c\u5e76\u4e14\u80fd\u591f\u540c\u65f6\u4f18\u5316\u591a\u4e2a\u8bc4\u4f30\u6307\u6807\u3002<\/p>\n<blockquote><p>\u4ec0\u4e48\u662f FunSearch \uff1fFunSearch \u662f\u7531 Google DeepMind \u5f00\u53d1\u7684\u4e00\u79cd\u65b9\u6cd5\uff0c\u7528\u4e8e\u5728\u6570\u5b66\u548c\u8ba1\u7b97\u673a\u79d1\u5b66\u9886\u57df\u641c\u7d22\u65b0\u7684\u89e3\u51b3\u65b9\u6848\u3002\u5b83\u901a\u8fc7\u5c06 LLM \u4e0e\u81ea\u52a8\u8bc4\u4f30\u5668\u914d\u5bf9\uff0c\u9632\u6b62\u751f\u6210\u9519\u8bef\u6216\u865a\u6784\u7684\u7ed3\u679c\u3002\u5728\u6bcf\u8f6e\u8fed\u4ee3\u4e2d\uff0c\u7cfb\u7edf\u4f1a\u4ece\u7a0b\u5e8f\u6c60\u4e2d\u9009\u53d6\u82e5\u5e72\u7a0b\u5e8f\uff0c\u4ea4\u7531 LLM \u52a0\u5de5\u751f\u6210\u65b0\u7a0b\u5e8f\uff0c\u8bc4\u4f30\u5668\u5219\u5bf9\u65b0\u7a0b\u5e8f\u8fdb\u884c\u8bc4\u4f30\uff0c\u8868\u73b0\u6700\u4f73\u7684\u7a0b\u5e8f\u4f1a\u88ab\u91cd\u65b0\u52a0\u5165\u7a0b\u5e8f\u6c60\uff0c\u5f62\u6210\u81ea\u6211\u63d0\u5347\u7684\u5faa\u73af\u3002FunSearch \u7684\u72ec\u7279\u4e4b\u5904\u5728\u4e8e\u5b83\u66f4\u503e\u5411\u4e8e\u5bfb\u627e\u7531\u9ad8\u5ea6\u7b80\u6d01\u4e14\u6613\u4e8e\u7406\u89e3\u7684\u7a0b\u5e8f\u8868\u793a\u7684\u89e3\u51b3\u65b9\u6848\uff0c\u8fd9\u4e9b\u7a0b\u5e8f\u4e0d\u4ec5\u80fd\u63d0\u4f9b\u7b54\u6848\uff0c\u8fd8\u80fd\u63ed\u793a\u89e3\u51b3\u65b9\u6848\u7684\u6784\u5efa\u8fc7\u7a0b\u3002\u5b83\u5df2\u7ecf\u5728\u4e00\u4e9b\u6570\u5b66\u96be\u9898\u4e0a\u53d6\u5f97\u4e86\u7a81\u7834\uff0c\u4f8b\u5982\u53d1\u73b0\u4e86\u4e0a\u9650\u96c6\u95ee\u9898\u7684\u65b0\u89e3\u6cd5\u3002<\/p><\/blockquote>\n<p>\u4f8b\u5982\uff0c\u5728\u6570\u5b66\u95ee\u9898\u63a2\u7d22\u4e2d\uff0cAlphaEvolve \u80fd\u591f\u540c\u65f6\u4f18\u5316\u591a\u4e2a\u8bc4\u4f30\u6307\u6807\uff0c\u5982\u89e3\u7684\u8d28\u91cf\u548c\u8ba1\u7b97\u65f6\u95f4\u3002\u8fd9\u79cd\u65b9\u6cd5\u4e0d\u4ec5\u80fd\u591f\u627e\u5230\u66f4\u4f18\u7684\u89e3\uff0c\u8fd8\u80fd\u591f\u63d0\u9ad8\u89e3\u7684\u5b9e\u7528\u6027\u548c\u6548\u7387\u3002\u6b64\u5916\uff0cAlphaEvolve \u8fd8\u91c7\u7528\u4e86\u66f4\u5f3a\u5927\u7684 LLM\uff0c\u5982 Gemini 2.0 Flash \u548c Gemini 2.0 Pro\uff0c\u4ece\u800c\u8fdb\u4e00\u6b65\u63d0\u5347\u4e86\u5176\u8fdb\u5316\u80fd\u529b\u3002\u901a\u8fc7\u8fd9\u4e9b\u6539\u8fdb\uff0cAlphaEvolve \u5728\u4ee3\u7801\u6f14\u5316\u80fd\u529b\u3001\u591a\u8bed\u8a00\u652f\u6301\u548c\u4efb\u52a1\u9002\u7528\u8303\u56f4\u7b49\u65b9\u9762\u90fd\u53d6\u5f97\u4e86\u663e\u8457\u7684\u8fdb\u6b65\u3002<\/p>\n<h4>\u5176\u4ed6\u76f8\u5173\u9886\u57df\u5e94\u7528\u6bd4\u8f83<\/h4>\n<p>\u9664\u4e86\u8fdb\u5316\u8ba1\u7b97\u548c LLM \u7684\u7ed3\u5408\uff0c\u5176\u4ed6\u5229\u7528 LLM \u4f18\u5316\u4ee3\u7801\u6216\u53d1\u73b0\u7b97\u6cd5\u7684\u7814\u7a76\u65b9\u5411\u4e5f\u5728\u4e0d\u65ad\u53d1\u5c55\u3002\u4f8b\u5982\uff0c\u8d85\u4f18\u5316\u662f\u4e00\u79cd\u901a\u8fc7\u7cfb\u7edf\u679a\u4e3e\u6216\u968f\u673a\u641c\u7d22\u6765\u4f18\u5316\u4ee3\u7801\u7684\u6280\u672f\uff1b\u7b26\u53f7\u56de\u5f52\u662f\u4e00\u79cd\u901a\u8fc7\u8fdb\u5316\u7b97\u6cd5\u6216\u673a\u5668\u5b66\u4e60\u6765\u53d1\u73b0\u6570\u5b66\u8868\u8fbe\u5f0f\u7684\u6280\u672f\uff1b\u5206\u5b50\u7ed3\u6784\u5408\u6210\u662f\u4e00\u79cd\u901a\u8fc7 LLM \u6216\u8fdb\u5316\u7b97\u6cd5\u6765\u8bbe\u8ba1\u5206\u5b50\u7ed3\u6784\u7684\u6280\u672f\u3002<\/p>\n<p>AlphaEvolve \u5728\u8fd9\u4e9b\u9886\u57df\u4e2d\u5c55\u73b0\u51fa\u4e86\u72ec\u7279\u7684\u4ef7\u503c\u548c\u6f5c\u5728\u5e94\u7528\u524d\u666f\u3002\u4f8b\u5982\uff0c\u5728\u8d85\u4f18\u5316\u9886\u57df\uff0cAlphaEvolve \u901a\u8fc7\u8fdb\u5316\u7b97\u6cd5\u548c LLM \u7684\u7ed3\u5408\uff0c\u80fd\u591f\u66f4\u9ad8\u6548\u5730\u63a2\u7d22\u4ee3\u7801\u7684\u4f18\u5316\u7a7a\u95f4\uff0c\u4ece\u800c\u627e\u5230\u66f4\u4f18\u7684\u4ee3\u7801\u5b9e\u73b0\u3002\u5728\u7b26\u53f7\u56de\u5f52\u9886\u57df\uff0cAlphaEvolve \u901a\u8fc7 LLM \u81ea\u52a8\u751f\u6210\u7684\u6570\u5b66\u8868\u8fbe\u5f0f\uff0c\u80fd\u591f\u66f4\u5feb\u901f\u5730\u53d1\u73b0\u66f4\u4f18\u7684\u89e3\u3002\u5728\u5206\u5b50\u7ed3\u6784\u5408\u6210\u9886\u57df\uff0cAlphaEvolve \u901a\u8fc7\u8fdb\u5316\u7b97\u6cd5\u548c LLM \u7684\u7ed3\u5408\uff0c\u80fd\u591f\u66f4\u9ad8\u6548\u5730\u8bbe\u8ba1\u51fa\u5177\u6709\u7279\u5b9a\u6027\u8d28\u7684\u5206\u5b50\u7ed3\u6784\u3002<\/p>\n<h3>\u603b\u7ed3<\/h3>\n<p>AlphaEvolve \u4f5c\u4e3a\u4e00\u79cd\u65b0\u578b\u7684\u8fdb\u5316\u578b\u7f16\u7801\u667a\u80fd\u4f53\uff0c\u5728\u79d1\u5b66\u53d1\u73b0\u548c\u7b97\u6cd5\u4f18\u5316\u65b9\u9762\u53d6\u5f97\u4e86\u663e\u8457\u7684\u6210\u679c\u3002\u5b83\u901a\u8fc7\u534f\u8c03\u591a\u4e2a LLM \u6784\u5efa\u4e00\u4e2a\u81ea\u4e3b\u7684\u8fdb\u5316\u6d41\u7a0b\uff0c\u4e0d\u4ec5\u5728\u7406\u8bba\u4e0a\u53d6\u5f97\u4e86\u7a81\u7834\uff0c\u8fd8\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\u5c55\u73b0\u4e86\u5f3a\u5927\u7684\u80fd\u529b\u3002\u4f8b\u5982\uff0c\u5728\u77e9\u9635\u4e58\u6cd5\u4f18\u5316\u4e2d\uff0cAlphaEvolve \u53d1\u73b0\u7684\u7b97\u6cd5\u5c06 4\u00d74 \u590d\u6570\u77e9\u9635\u4e58\u6cd5\u7684\u4e58\u6cd5\u64cd\u4f5c\u6b21\u6570\u4ece 49 \u6b21\u964d\u4f4e\u5230\u4e86 48 \u6b21\uff1b\u5728\u6570\u5b66\u95ee\u9898\u63a2\u7d22\u4e2d\uff0cAlphaEvolve \u5728\u8d85\u8fc7 50 \u4e2a\u6570\u5b66\u95ee\u9898\u4e0a\u53d6\u5f97\u4e86\u4f18\u5f02\u7684\u8868\u73b0\uff1b\u5728\u6570\u636e\u4e2d\u5fc3\u8c03\u5ea6\u4f18\u5316\u4e2d\uff0cAlphaEvolve \u53d1\u73b0\u7684\u8c03\u5ea6\u51fd\u6570\u80fd\u591f\u5e73\u5747\u56de\u6536 0.7% \u7684\u8ba1\u7b97\u8d44\u6e90\uff1b\u5728 Gemini \u5185\u6838\u5de5\u7a0b\u4e2d\uff0cAlphaEvolve \u4f18\u5316\u7684\u77e9\u9635\u4e58\u6cd5\u5185\u6838\u8ba1\u7b97\u901f\u5ea6\u63d0\u9ad8\u4e86 23%\uff1b\u5728\u786c\u4ef6\u7535\u8def\u8bbe\u8ba1\u4e2d\uff0cAlphaEvolve \u4f18\u5316\u7684\u7535\u8def\u9762\u79ef\u51cf\u5c11\u4e86 10%\uff0c\u529f\u8017\u964d\u4f4e\u4e86 15%\uff1b\u5728\u7f16\u8bd1\u5668\u751f\u6210\u4ee3\u7801\u7684\u4f18\u5316\u4e2d\uff0cAlphaEvolve \u4f18\u5316\u7684 FlashAttention \u5185\u6838\u8ba1\u7b97\u901f\u5ea6\u63d0\u9ad8\u4e86 32%\u3002\u8fd9\u4e9b\u6210\u679c\u4e0d\u4ec5\u5c55\u793a\u4e86 AlphaEvolve \u5728\u5404\u4e2a\u9886\u57df\u7684\u5e7f\u6cdb\u9002\u7528\u6027\u548c\u663e\u8457\u5f71\u54cd\u529b\uff0c\u8fd8\u4e3a\u76f8\u5173\u9886\u57df\u7684\u7814\u7a76\u548c\u5b9e\u8df5\u63d0\u4f9b\u4e86\u65b0\u7684\u601d\u8def\u548c\u65b9\u6cd5\u3002<\/p>\n<p>\u5c3d\u7ba1 AlphaEvolve \u5df2\u7ecf\u53d6\u5f97\u4e86\u663e\u8457\u7684\u6210\u679c\uff0c\u4f46\u5b83\u4ecd\u7136\u6709\u8bb8\u591a\u6f5c\u5728\u7684\u6539\u8fdb\u65b9\u5411\u3002\u4f8b\u5982\uff0c\u8fdb\u4e00\u6b65\u63d0\u9ad8 LLM \u7684\u6027\u80fd\uff0c\u4f18\u5316\u8fdb\u5316\u7b97\u6cd5\uff0c\u4ee5\u53ca\u6269\u5c55\u5e94\u7528\u9886\u57df\u7b49\u3002<\/p>\n<p>\u6b64\u5916\uff0cAlphaEvolve \u4e0e\u5176\u4ed6\u6280\u672f\u7684\u7ed3\u5408\u4e5f\u5c06\u662f\u672a\u6765\u53d1\u5c55\u7684\u91cd\u70b9\u65b9\u5411\u4e4b\u4e00\u3002\u4f8b\u5982\uff0c\u4e0e\u5f3a\u5316\u5b66\u4e60\u6280\u672f\u7684\u7ed3\u5408\u53ef\u4ee5\u8fdb\u4e00\u6b65\u63d0\u9ad8 AlphaEvolve \u7684\u51b3\u7b56\u80fd\u529b\u548c\u4f18\u5316\u6548\u7387\uff1b\u4e0e\u77e5\u8bc6\u56fe\u8c31\u6280\u672f\u7684\u7ed3\u5408\u53ef\u4ee5\u8fdb\u4e00\u6b65\u4e30\u5bcc AlphaEvolve \u7684\u77e5\u8bc6\u50a8\u5907\uff0c\u4ece\u800c\u4e3a\u8fdb\u5316\u7b97\u6cd5\u63d0\u4f9b\u66f4\u591a\u7684\u80cc\u666f\u4fe1\u606f\u548c\u6307\u5bfc\u3002<\/p>\n<p>AlphaEvolve \u5982\u679c\u53ef\u4ee5\u88ab\u5e7f\u6cdb\u5e94\u7528\uff0c\u5b83\u4e0d\u4ec5\u6539\u53d8\u4e86\u4f20\u7edf\u7684\u79d1\u5b66\u7814\u7a76\u548c\u7b97\u6cd5\u5f00\u53d1\u6a21\u5f0f\uff0c\u8fd8\u4e3a\u672a\u6765\u79d1\u6280\u521b\u65b0\u63d0\u4f9b\u4e86\u65b0\u7684\u601d\u8def\u548c\u65b9\u6cd5\u3002\u901a\u8fc7\u5229\u7528 LLM \u548c\u8fdb\u5316\u7b97\u6cd5\u7684\u7ed3\u5408\uff0cAlphaEvolve \u4e3a\u89e3\u51b3\u590d\u6742\u79d1\u5b66\u95ee\u9898\u548c\u63d0\u5347\u8ba1\u7b97\u7cfb\u7edf\u6027\u80fd\u63d0\u4f9b\u4e86\u65b0\u7684\u5de5\u5177\u548c\u65b9\u6cd5\u3002<\/p>\n<p><strong>\u53c2\u8003\u8d44\u6599<\/strong><br \/>\nhttps:\/\/deepmind.google\/discover\/blog\/alphaevolve-a-gemini-powered-coding-agent-for-designing-advanced-algorithms\/<br \/>\nhttps:\/\/storage.googleapis.com\/deepmind-media\/DeepMind.com\/Blog\/alphaevolve-a-gemini-powered-coding-agent-for-designing-advanced-algorithms\/AlphaEvolve.pdf<br \/>\nhttps:\/\/colab.research.google.com\/github\/google-deepmind\/alphaevolve_results\/blob\/master\/mathematical_results.ipynb<\/p>\n<p>\u6587\u7ae0\u6765\u81ea\uff1a51CTO<\/p>\n<\/div>\n<\/div>\n<div class=\"pvc_clear\"><\/div>\n<p id=\"pvc_stats_26011\" class=\"pvc_stats total_only  \" data-element-id=\"26011\" style=\"\"><i class=\"pvc-stats-icon medium\" aria-hidden=\"true\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" version=\"1.0\" viewBox=\"0 0 502 315\" preserveAspectRatio=\"xMidYMid meet\"><g transform=\"translate(0,332) scale(0.1,-0.1)\" fill=\"\" stroke=\"none\"><path d=\"M2394 3279 l-29 -30 -3 -207 c-2 -182 0 -211 15 -242 39 -76 157 -76 196 0 15 31 17 60 15 243 l-3 209 -33 29 c-26 23 -41 29 -80 29 -41 0 -53 -5 -78 -31z\"\/><path d=\"M3085 3251 c-45 -19 -58 -50 -96 -229 -47 -217 -49 -260 -13 -295 52 -53 146 -42 177 20 16 31 87 366 87 410 0 70 -86 122 -155 94z\"\/><path d=\"M1751 3234 c-13 -9 -29 -31 -37 -50 -12 -29 -10 -49 21 -204 19 -94 39 -189 45 -210 14 -50 54 -80 110 -80 34 0 48 6 76 34 21 21 34 44 34 59 0 14 -18 113 -40 219 -37 178 -43 195 -70 221 -36 32 -101 37 -139 11z\"\/><path d=\"M1163 3073 c-36 -7 -73 -59 -73 -102 0 -56 133 -378 171 -413 34 -32 83 -37 129 -13 70 36 67 87 -16 290 -86 209 -89 214 -129 231 -35 14 -42 15 -82 7z\"\/><path d=\"M3689 3066 c-15 -9 -33 -30 -42 -48 -48 -103 -147 -355 -147 -375 0 -98 131 -148 192 -74 13 15 57 108 97 206 80 196 84 226 37 273 -30 30 -99 39 -137 18z\"\/><path d=\"M583 2784 c-38 -19 -67 -74 -58 -113 9 -42 211 -354 242 -373 16 -10 45 -18 66 -18 51 0 107 52 107 100 0 39 -1 41 -124 234 -80 126 -108 162 -133 173 -41 17 -61 16 -100 -3z\"\/><path d=\"M4250 2784 c-14 -9 -74 -91 -133 -183 -95 -150 -107 -173 -107 -213 0 -55 33 -94 87 -104 67 -13 90 8 211 198 130 202 137 225 78 284 -27 27 -42 34 -72 34 -22 0 -50 -8 -64 -16z\"\/><path d=\"M2275 2693 c-553 -48 -1095 -270 -1585 -649 -135 -104 -459 -423 -483 -476 -23 -49 -22 -139 2 -186 73 -142 361 -457 571 -626 285 -228 642 -407 990 -497 242 -63 336 -73 660 -74 310 0 370 5 595 52 535 111 1045 392 1455 803 122 121 250 273 275 326 19 41 19 137 0 174 -41 79 -309 363 -465 492 -447 370 -946 591 -1479 653 -113 14 -422 18 -536 8z m395 -428 c171 -34 330 -124 456 -258 112 -119 167 -219 211 -378 27 -96 24 -300 -5 -401 -72 -255 -236 -447 -474 -557 -132 -62 -201 -76 -368 -76 -167 0 -236 14 -368 76 -213 98 -373 271 -451 485 -162 444 86 934 547 1084 153 49 292 57 452 25z m909 -232 c222 -123 408 -262 593 -441 76 -74 138 -139 138 -144 0 -16 -233 -242 -330 -319 -155 -123 -309 -223 -461 -299 l-81 -41 32 46 c18 26 49 83 70 128 143 306 141 649 -6 957 -25 52 -61 116 -79 142 l-34 47 45 -20 c26 -10 76 -36 113 -56z m-2057 25 c-40 -58 -105 -190 -130 -263 -110 -324 -59 -707 132 -981 25 -35 42 -64 37 -64 -19 0 -241 119 -326 174 -188 122 -406 314 -532 468 l-58 71 108 103 c185 178 428 349 672 473 66 33 121 60 123 61 2 0 -10 -19 -26 -42z\"\/><path d=\"M2375 1950 c-198 -44 -350 -190 -395 -379 -18 -76 -8 -221 19 -290 114 -284 457 -406 731 -260 98 52 188 154 231 260 27 69 37 214 19 290 -38 163 -166 304 -326 360 -67 23 -215 33 -279 19z\"\/><\/g><\/svg><\/i> <img loading=\"lazy\" decoding=\"async\" width=\"16\" height=\"16\" alt=\"Loading\" src=\"https:\/\/aif.amtbbs.org\/wp-content\/plugins\/page-views-count\/ajax-loader-2x.gif\" border=0 \/><\/p>\n<div class=\"pvc_clear\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>AlphaEvolve \u5f3a\u5927\u7684\u8fdb\u5316\u80fd\u529b\u548c\u667a\u80fd\u4f18\u5316\u6280\u672f\uff0c \u4e0d\u4ec5\u5728\u7406\u8bba\u7814\u7a76\u4e2d\u53d6\u5f97\u4e86\u7a81\u7834\uff0c\u66f4\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\u5c55\u73b0\u4e86\u5de8\u5927\u7684 [&hellip;]<\/p>\n<div class=\"pvc_clear\"><\/div>\n<p id=\"pvc_stats_26011\" class=\"pvc_stats total_only  \" data-element-id=\"26011\" style=\"\"><i class=\"pvc-stats-icon medium\" aria-hidden=\"true\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" version=\"1.0\" viewBox=\"0 0 502 315\" preserveAspectRatio=\"xMidYMid meet\"><g transform=\"translate(0,332) scale(0.1,-0.1)\" fill=\"\" stroke=\"none\"><path d=\"M2394 3279 l-29 -30 -3 -207 c-2 -182 0 -211 15 -242 39 -76 157 -76 196 0 15 31 17 60 15 243 l-3 209 -33 29 c-26 23 -41 29 -80 29 -41 0 -53 -5 -78 -31z\"\/><path d=\"M3085 3251 c-45 -19 -58 -50 -96 -229 -47 -217 -49 -260 -13 -295 52 -53 146 -42 177 20 16 31 87 366 87 410 0 70 -86 122 -155 94z\"\/><path d=\"M1751 3234 c-13 -9 -29 -31 -37 -50 -12 -29 -10 -49 21 -204 19 -94 39 -189 45 -210 14 -50 54 -80 110 -80 34 0 48 6 76 34 21 21 34 44 34 59 0 14 -18 113 -40 219 -37 178 -43 195 -70 221 -36 32 -101 37 -139 11z\"\/><path d=\"M1163 3073 c-36 -7 -73 -59 -73 -102 0 -56 133 -378 171 -413 34 -32 83 -37 129 -13 70 36 67 87 -16 290 -86 209 -89 214 -129 231 -35 14 -42 15 -82 7z\"\/><path d=\"M3689 3066 c-15 -9 -33 -30 -42 -48 -48 -103 -147 -355 -147 -375 0 -98 131 -148 192 -74 13 15 57 108 97 206 80 196 84 226 37 273 -30 30 -99 39 -137 18z\"\/><path d=\"M583 2784 c-38 -19 -67 -74 -58 -113 9 -42 211 -354 242 -373 16 -10 45 -18 66 -18 51 0 107 52 107 100 0 39 -1 41 -124 234 -80 126 -108 162 -133 173 -41 17 -61 16 -100 -3z\"\/><path d=\"M4250 2784 c-14 -9 -74 -91 -133 -183 -95 -150 -107 -173 -107 -213 0 -55 33 -94 87 -104 67 -13 90 8 211 198 130 202 137 225 78 284 -27 27 -42 34 -72 34 -22 0 -50 -8 -64 -16z\"\/><path d=\"M2275 2693 c-553 -48 -1095 -270 -1585 -649 -135 -104 -459 -423 -483 -476 -23 -49 -22 -139 2 -186 73 -142 361 -457 571 -626 285 -228 642 -407 990 -497 242 -63 336 -73 660 -74 310 0 370 5 595 52 535 111 1045 392 1455 803 122 121 250 273 275 326 19 41 19 137 0 174 -41 79 -309 363 -465 492 -447 370 -946 591 -1479 653 -113 14 -422 18 -536 8z m395 -428 c171 -34 330 -124 456 -258 112 -119 167 -219 211 -378 27 -96 24 -300 -5 -401 -72 -255 -236 -447 -474 -557 -132 -62 -201 -76 -368 -76 -167 0 -236 14 -368 76 -213 98 -373 271 -451 485 -162 444 86 934 547 1084 153 49 292 57 452 25z m909 -232 c222 -123 408 -262 593 -441 76 -74 138 -139 138 -144 0 -16 -233 -242 -330 -319 -155 -123 -309 -223 -461 -299 l-81 -41 32 46 c18 26 49 83 70 128 143 306 141 649 -6 957 -25 52 -61 116 -79 142 l-34 47 45 -20 c26 -10 76 -36 113 -56z m-2057 25 c-40 -58 -105 -190 -130 -263 -110 -324 -59 -707 132 -981 25 -35 42 -64 37 -64 -19 0 -241 119 -326 174 -188 122 -406 314 -532 468 l-58 71 108 103 c185 178 428 349 672 473 66 33 121 60 123 61 2 0 -10 -19 -26 -42z\"\/><path d=\"M2375 1950 c-198 -44 -350 -190 -395 -379 -18 -76 -8 -221 19 -290 114 -284 457 -406 731 -260 98 52 188 154 231 260 27 69 37 214 19 290 -38 163 -166 304 -326 360 -67 23 -215 33 -279 19z\"\/><\/g><\/svg><\/i> <img loading=\"lazy\" decoding=\"async\" width=\"16\" height=\"16\" alt=\"Loading\" src=\"https:\/\/aif.amtbbs.org\/wp-content\/plugins\/page-views-count\/ajax-loader-2x.gif\" border=0 \/><\/p>\n<div class=\"pvc_clear\"><\/div>\n","protected":false},"author":56,"featured_media":26013,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3,23,20,80],"tags":[1710],"class_list":["post-26011","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ai","category-23","category-20","category-80","tag--alphaevolve"],"_links":{"self":[{"href":"https:\/\/aif.amtbbs.org\/index.php\/wp-json\/wp\/v2\/posts\/26011","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/aif.amtbbs.org\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/aif.amtbbs.org\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/aif.amtbbs.org\/index.php\/wp-json\/wp\/v2\/users\/56"}],"replies":[{"embeddable":true,"href":"https:\/\/aif.amtbbs.org\/index.php\/wp-json\/wp\/v2\/comments?post=26011"}],"version-history":[{"count":1,"href":"https:\/\/aif.amtbbs.org\/index.php\/wp-json\/wp\/v2\/posts\/26011\/revisions"}],"predecessor-version":[{"id":26014,"href":"https:\/\/aif.amtbbs.org\/index.php\/wp-json\/wp\/v2\/posts\/26011\/revisions\/26014"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/aif.amtbbs.org\/index.php\/wp-json\/wp\/v2\/media\/26013"}],"wp:attachment":[{"href":"https:\/\/aif.amtbbs.org\/index.php\/wp-json\/wp\/v2\/media?parent=26011"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/aif.amtbbs.org\/index.php\/wp-json\/wp\/v2\/categories?post=26011"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/aif.amtbbs.org\/index.php\/wp-json\/wp\/v2\/tags?post=26011"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}