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Audit Complete

Results for https://www.wolfram.com

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Spain Spain · Madrid Completed: Apr 7, 2026 20:37 UTC
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Mobile 375 × 812

Screenshot of the audited page (Mobile 375×812)

Desktop 1440 × 900

Screenshot of the audited page (Desktop 1440×900)
C72

Site Health

Score: 72 / 100

Based on 8 categories, 0 sections

How is this calculated?

The overall score is a weighted average of individual category scores. Categories with more impact on user experience and security carry more weight.

Performance 25%Security 25%Accessibility 15%SEO 10%Infrastructure 10%Compliance 8%Content 5%Sustainability 2%

Weights reflect general web best practices. Individual needs may differ.

Top Priorities (5)

1

Content-Security-Policy header is missing

Security › Security Headers
2

Cookie 'WR_SID' is missing the Secure flag

Security › Cookie Security
3

HSTS header is missing

Security › Security Headers
4

No Content-Security-Policy header found

Security › Content Security Policy
5

Page weighs 9.5 MB (6.0 MB transferred)

Performance › Page Weight Budget
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Lighthouse Scores

Industry-standard audits powered by Google Lighthouse.

26
Performance Overall performance score (0–100) based on Core Web Vitals and other metrics. 90+ is good.
67
Accessibility Measures how accessible the page is for users with disabilities. Checks color contrast, ARIA labels, and semantic HTML.
100
Best Practices Checks for modern web development best practices including HTTPS, no console errors, and secure JavaScript.
85
SEO Measures basic SEO optimizations: meta tags, crawlability, link text, and mobile friendliness.

Core Web Vitals

Key metrics that affect user experience.

First Contentful Paint First Contentful Paint — how long until the browser renders the first piece of content. Under 1.8s is good.

5.43 s

Largest Contentful Paint Largest Contentful Paint — how long until the largest visible element loads. Under 2.5s is good.

25.79 s

Total Blocking Time Total Blocking Time — total time the main thread was blocked, preventing user input. Under 200ms is good.

9.66 s

Cumulative Layout Shift Cumulative Layout Shift — measures visual stability. How much the page layout shifts during loading. Under 0.1 is good.

0.004

Speed Index Speed Index — how quickly content is visually displayed during load. Under 3.4s is good.

10.98 s

Time to Interactive Time to Interactive — how long until the page is fully interactive and responds to user input. Under 3.8s is good.

28.29 s

Detailed Report

Audit breakdown by category with detailed findings.

26

Performance

Insights

Remove large, duplicate JavaScript modules from bundles to reduce unnecessary bytes consumed by network activity.

Polyfills and transforms enable older browsers to use new JavaScript features. However, many aren't necessary for modern browsers. Consider modifying your JavaScript build process to not transpile Baseline features, unless you know you must support older browsers. Learn why most sites can deploy ES6+ code without transpiling

3rd party code can significantly impact load performance. Reduce and defer loading of 3rd party code to prioritize your page's content.

A long cache lifetime can speed up repeat visits to your page. Learn more about caching.

RequestCache TTLTransfer Size
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A forced reflow occurs when JavaScript queries geometric properties (such as offsetWidth) after styles have been invalidated by a change to the DOM state. This can result in poor performance. Learn more about forced reflows and possible mitigations.

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Each subpart has specific improvement strategies. Ideally, most of the LCP time should be spent on loading the resources, not within delays.

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HTTP/2 and HTTP/3 offer many benefits over HTTP/1.1, such as multiplexing. Learn more about using modern HTTP.

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files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Fintech.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Manufacturing.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Publishing.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Retail.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Acoustics.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Agtech.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Astronomy.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Ecology.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Transportation.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Architecture.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/CAD.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Adtech.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Mathematics.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Cryptography.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Biostatistics.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Archaeology.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Utilities.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Statistics.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Economics.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Optics.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/IoT.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Mining.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Insurance.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Blockchain.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/GameTech.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Neuroscience.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Pharmacology.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Bioengineering.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Edtech.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Quantum.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Ruliology.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Linguistics.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Logistics.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Psychology.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Robotics.webphttp/1.1
/common/liveChat/1.0.0/chat.js?wriLiveChatUrl=https%3A%2F...http/1.1
www.wolfram.com/favicon.svghttp/1.1

Avoid chaining critical requests by reducing the length of chains, reducing the download size of resources, or deferring the download of unnecessary resources to improve page load.

description: [preconnect](https://developer.chrome.com/docs/lighthouse/performance/uses-rel-preconnect/) hints help the browser establish a connection earlier in the page load, saving time when the first request for that origin is made. The following are the origins that the page preconnected to.
title: Preconnected origins
description: Add [preconnect](https://developer.chrome.com/docs/lighthouse/performance/uses-rel-preconnect/) hints to your most important origins, but try to use no more than 4.
title: Preconnect candidates

Requests are blocking the page's initial render, which may delay LCP. Deferring or inlining can move these network requests out of the critical path.

URLTransfer SizeDuration
www.wolfram.com/assets/css/style.min.css.en?v=20251009100577.8 KiB2.7 s
www.wolfram.com/common/js/jquery/3.7.1/jquery.min.js29.1 KiB2.2 s
www.wolfram.com/common/javascript/analytics.js10.9 KiB1.1 s
www.wolfram.com/common/js/jquery/plugins/migrate/3.5.2/jquery.migrate.min.js5.2 KiB1.1 s
www.wolfram.com/common/framework/js/head.en.js1.6 KiB819 ms
www.wolfram.com/common/javascript/wal/latest/walLoad.js1.5 KiB819 ms
www.wolfram.com/common/framework/css/framework.en.css38.7 KiB1.9 s
www.wolfram.com/common/framework/css/gui.en.css4.5 KiB819 ms
www.wolfram.com/assets/css/topics-cloud.min.css.en?v=20251009100511.7 KiB1.1 s
files.wolframcdn.com/pub/fonts/source-sans-pro/1.0/global.css800 B756 ms
/css2?family=Noto+Serif:ital,wght@0,100..900;1,100..900&d...1.5 KiB840 ms

Your first network request is the most important. Reduce its latency by avoiding redirects, ensuring a fast server response, and enabling text compression.

Reducing the download time of images can improve the perceived load time of the page and LCP. Learn more about optimizing image size

URLResource SizeEst Savings
div.items-container > div.items > div.video-wrapper > video.video div.items-container > div.items > div.video-wrapper > video.video
files.wolframcdn.com/pub/www.wolfram.com/home/img/nb/dark/nb06-dark-cover.png271.9 KiB259.9 KiB
div.items-container > div.items > div.video-wrapper > video#nbFeaturedVideo div.items-container > div.items > div.video-wrapper > video#nbFeaturedVideo
files.wolframcdn.com/pub/www.wolfram.com/home/img/nb/dark/nb01-dark-frame1.png249.9 KiB238.0 KiB
div.items-container > div.items > div > img div.items-container > div.items > div > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/nb/dark/nb05-dark.png176.3 KiB164.3 KiB
div.items-container > div.items > div > img div.items-container > div.items > div > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/nb/dark/nb07-dark.png150.8 KiB138.8 KiB
div.items-container > div.items > div.video-wrapper > video.video div.items-container > div.items > div.video-wrapper > video.video
files.wolframcdn.com/pub/www.wolfram.com/home/img/nb/dark/nb02-dark-cover.png148.5 KiB136.5 KiB
div.items-container > div.items > div.video-wrapper > video.video div.items-container > div.items > div.video-wrapper > video.video
files.wolframcdn.com/pub/www.wolfram.com/home/img/nb/dark/nb03-dark-cover.png46.0 KiB40.6 KiB
div.wrapper > div.deploy-grid > a > img div.wrapper > div.deploy-grid > a > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/deploy/out-icon-22.webp21.2 KiB20.4 KiB
div.wrapper > div.deploy-grid > a > img div.wrapper > div.deploy-grid > a > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/deploy/out-icon-11.webp19.6 KiB18.8 KiB
a.cta-chat > div > div.cta-chat__msg > img a.cta-chat > div > div.cta-chat__msg > img
/pub/www.wolfram.com/home/img/cta-bottom/cta-chat-profile...16.4 KiB15.6 KiB
div.topicLabel > div.pos-UrbanStudies > picture > img div.topicLabel > div.pos-UrbanStudies > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/UrbanStudies.webp16.8 KiB15.2 KiB
div.wrapper > div.deploy-grid > a > img div.wrapper > div.deploy-grid > a > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/deploy/out-icon-18.webp14.6 KiB13.9 KiB
div.wrapper > div.deploy-grid > a > img div.wrapper > div.deploy-grid > a > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/deploy/out-icon-16.webp14.3 KiB13.5 KiB
div.wrapper > div.deploy-grid > a > img div.wrapper > div.deploy-grid > a > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/deploy/out-icon-01.webp14.0 KiB13.3 KiB
div.wrapper > div.deploy-grid > a > img div.wrapper > div.deploy-grid > a > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/deploy/out-icon-05.webp13.6 KiB12.8 KiB
div.wrapper > div.deploy-grid > a > img div.wrapper > div.deploy-grid > a > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/deploy/out-icon-14.webp13.4 KiB12.6 KiB
div.wrapper > div.deploy-grid > a > img div.wrapper > div.deploy-grid > a > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/deploy/out-icon-10.webp12.3 KiB11.5 KiB
div.wrapper > div.deploy-grid > a > img div.wrapper > div.deploy-grid > a > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/deploy/out-icon-06.webp11.8 KiB11.0 KiB
div.wrapper > div.deploy-grid > a > img div.wrapper > div.deploy-grid > a > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/deploy/out-icon-07.webp11.7 KiB10.9 KiB
div.wrapper > div.cta-consulting-banner > a.cta-consulting > img div.wrapper > div.cta-consulting-banner > a.cta-consulting > img
/pub/www.wolfram.com/home/img/cta-bottom/cta-wolframconsu...11.9 KiB10.1 KiB
div.wrapper > div.deploy-grid > a > img div.wrapper > div.deploy-grid > a > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/deploy/out-icon-13.webp10.8 KiB10.0 KiB
div.wrapper > div.deploy-grid > a > img div.wrapper > div.deploy-grid > a > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/deploy/out-icon-09.webp10.2 KiB9.4 KiB
div.wrapper > div.deploy-grid > a > img div.wrapper > div.deploy-grid > a > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/deploy/out-icon-15.webp9.8 KiB9.0 KiB
div.wrapper > div.deploy-grid > a > img div.wrapper > div.deploy-grid > a > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/deploy/out-icon-17.webp9.7 KiB8.9 KiB
div.topicLabel > div.pos-ComputationalPhilosophy > picture > img div.topicLabel > div.pos-ComputationalPhilosophy > picture > img
/pub/www.wolfram.com/home/img/network/ComputationalPhilos...15.1 KiB8.6 KiB
div > div.cta-resources > div.flex > img div > div.cta-resources > div.flex > img
/pub/www.wolfram.com/home/img/cta-bottom/cta-icon-develop...8.7 KiB8.5 KiB
div > div.cta-resources > div.flex > img div > div.cta-resources > div.flex > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/cta-bottom/cta-icon-deploy.png8.6 KiB8.3 KiB
div.topicLabel > div.pos-RealEstate > picture > img div.topicLabel > div.pos-RealEstate > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/RealEstate.webp14.8 KiB8.3 KiB
div.wrapper > div.deploy-grid > a > img div.wrapper > div.deploy-grid > a > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/deploy/out-icon-21.webp8.8 KiB8.1 KiB
div.wrapper > div.deploy-grid > a > img div.wrapper > div.deploy-grid > a > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/deploy/out-icon-03.webp8.8 KiB8.1 KiB
div.topicLabel > div.pos-ComputerEngineering > picture > img div.topicLabel > div.pos-ComputerEngineering > picture > img
/pub/www.wolfram.com/home/img/network/ComputerEngineering...14.5 KiB8.0 KiB
div.topicLabel > div.pos-Astronomy > picture > img div.topicLabel > div.pos-Astronomy > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Astronomy.webp14.4 KiB7.9 KiB
div.topicLabel > div.pos-Agtech > picture > img div.topicLabel > div.pos-Agtech > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Agtech.webp14.2 KiB7.7 KiB
div.wrapper > div.deploy-grid > a > img div.wrapper > div.deploy-grid > a > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/deploy/out-icon-08.webp8.2 KiB7.6 KiB
div.wrapper > div.deploy-grid > a > img div.wrapper > div.deploy-grid > a > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/deploy/out-icon-12.webp8.2 KiB7.6 KiB
div.topicLabel > div.pos-CreativeArts > picture > img div.topicLabel > div.pos-CreativeArts > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/CreativeArts.webp13.9 KiB7.4 KiB
div.wrapper > div.deploy-grid > a > img div.wrapper > div.deploy-grid > a > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/deploy/out-icon-24.webp8.0 KiB7.3 KiB
div.wrapper > div.deploy-grid > a > img div.wrapper > div.deploy-grid > a > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/deploy/out-icon-20.webp7.8 KiB7.1 KiB
div.topicLabel > div.pos-Bioengineering > picture > img div.topicLabel > div.pos-Bioengineering > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Bioengineering.webp13.4 KiB6.9 KiB
div.topicLabel > div.pos-CivilEngineering > picture > img div.topicLabel > div.pos-CivilEngineering > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/CivilEngineering.webp13.1 KiB6.6 KiB
div.topicLabel > div.pos-PlanetaryScience > picture > img div.topicLabel > div.pos-PlanetaryScience > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/PlanetaryScience.webp13.1 KiB6.6 KiB
div.wrapper > div.deploy-grid > a > img div.wrapper > div.deploy-grid > a > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/deploy/out-icon-02.webp7.1 KiB6.6 KiB
div.topicLabel > div.pos-AppliedMath > picture > img div.topicLabel > div.pos-AppliedMath > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/AppliedMath.webp12.7 KiB6.2 KiB
div.topicLabel > div.pos-PublicHealth > picture > img div.topicLabel > div.pos-PublicHealth > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/PublicHealth.webp12.6 KiB6.1 KiB
div.wrapper > div.deploy-grid > a > img div.wrapper > div.deploy-grid > a > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/deploy/out-icon-23.webp6.6 KiB6.1 KiB
div.wrapper > div.deploy-grid > a > img div.wrapper > div.deploy-grid > a > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/deploy/out-icon-04.webp6.6 KiB6.0 KiB
div.topicLabel > div.pos-Mining > picture > img div.topicLabel > div.pos-Mining > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Mining.webp12.3 KiB5.8 KiB
div.topicLabel > div.pos-ComplexityScience > picture > img div.topicLabel > div.pos-ComplexityScience > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/ComplexityScience.webp12.1 KiB5.6 KiB
div.topicLabel > div.pos-EarthScience > picture > img div.topicLabel > div.pos-EarthScience > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/EarthScience.webp11.8 KiB5.3 KiB
div.topicLabel > div.pos-RemoteSensing > picture > img div.topicLabel > div.pos-RemoteSensing > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/RemoteSensing.webp11.6 KiB5.1 KiB
div.topicLabel > div.pos-Archaeology > picture > img div.topicLabel > div.pos-Archaeology > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Archaeology.webp11.5 KiB5.0 KiB
div.wrapper > div.instant-resources > a.small-cta > img div.wrapper > div.instant-resources > a.small-cta > img
/pub/www.wolfram.com/home/img/cta-bottom/cta-icon-wolfram...5.1 KiB4.9 KiB
div.topicLabel > div.pos-Ruliology > picture > img div.topicLabel > div.pos-Ruliology > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Ruliology.webp11.2 KiB4.7 KiB
div.topicLabel > div.pos-Statistics > picture > img div.topicLabel > div.pos-Statistics > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Statistics.webp10.9 KiB4.4 KiB
div.topicLabel > div.pos-Optics > picture > img div.topicLabel > div.pos-Optics > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Optics.webp10.9 KiB4.4 KiB
div.topicLabel > div.pos-GameTech > picture > img div.topicLabel > div.pos-GameTech > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/GameTech.webp10.9 KiB4.4 KiB
div.topicLabel > div.pos-Adtech > picture > img div.topicLabel > div.pos-Adtech > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Adtech.webp10.6 KiB4.1 KiB

These insights are also available in the Chrome DevTools Performance Panel - record a trace to view more detailed information.

Time to Interactive is the amount of time it takes for the page to become fully interactive. Learn more about the Time to Interactive metric.

TTI

The maximum potential First Input Delay that your users could experience is the duration of the longest task. Learn more about the Maximum Potential First Input Delay metric.

Diagnostics

Minifying CSS files can reduce network payload sizes. Learn how to minify CSS.

Estimated savings: 150 ms 6.2 KiB
URLTransfer SizeEst Savings
www.wolfram.com/common/framework/css/framework.en.css38.7 KiB6.2 KiB

Minifying JavaScript files can reduce payload sizes and script parse time. Learn how to minify JavaScript.

Estimated savings: 300 ms 19.0 KiB
URLTransfer SizeEst Savings
www.wolfram.com/common/js/announcements/script.js15.4 KiB8.7 KiB
www.wolfram.com/common/javascript/analytics.js10.6 KiB4.7 KiB
/common/liveChat/1.0.0/chat.js?wriLiveChatUrl=https%3A%2F...6.8 KiB3.1 KiB
www.wolfram.com/common/framework/js/body.en.js4.6 KiB2.5 KiB

Reduce unused rules from stylesheets and defer CSS not used for above-the-fold content to decrease bytes consumed by network activity. Learn how to reduce unused CSS.

Estimated savings: 300 ms 37.4 KiB
URLTransfer SizeEst Savings
www.wolfram.com/common/framework/css/framework.en.css38.3 KiB37.4 KiB

Consider reducing the time spent parsing, compiling, and executing JS. You may find delivering smaller JS payloads helps with this. Learn how to reduce Javascript execution time.

URLTotal CPU TimeScript EvaluationScript Parse
files.wolframcdn.com/pub/www.wolfram.com/home/js/gsap/gsap.3.13.0.min.js13.3 s676 ms5.4 ms
files.wolframcdn.com/pub/www.wolfram.com/home/js/gsap/ScrollTrigger.3.13.0.js2.5 s124 ms3.7 ms
www.wolfram.com/assets/js/script.min.js.en?v=2025100910052.0 s618 ms2.0 ms
Unattributable1.2 s18 ms0.0 ms
www.wolfram.com/668 ms33 ms1.9 ms
www.wolfram.com/common/js/jquery/3.7.1/jquery.min.js320 ms82 ms8.8 ms
cdn.livechatinc.com/tracking.js152 ms124 ms14 ms
/v3.6/customer/action/get_configuration?organization_id=1...56 ms53 ms1.1 ms

Consider reducing the time spent parsing, compiling and executing JS. You may find delivering smaller JS payloads helps with this. Learn how to minimize main-thread work

CategoryTime Spent
Other11.7 s
Style & Layout6.3 s
Script Evaluation1.8 s
Rendering282 ms
Parse HTML & CSS159 ms
Script Parsing & Compilation53 ms
Garbage Collection29 ms

Many navigations are performed by going back to a previous page, or forwards again. The back/forward cache (bfcache) can speed up these return navigations. Learn more about the bfcache

Failure reasonFailure type
Pages with WebSocket cannot enter back/forward cache.Pending browser support

Large network payloads cost users real money and are highly correlated with long load times. Learn how to reduce payload sizes.

URLTransfer Size
files.wolframcdn.com/pub/www.wolfram.com/home/img/hero/hero-background.webp1.3 MiB
/pub/www.wolfram.com/home/img/partners/partners-section-b...546.5 KiB
www.wolfram.com/298.7 KiB
files.wolframcdn.com/pub/www.wolfram.com/home/img/nb/dark/nb06-dark-cover.png272.3 KiB
files.wolframcdn.com/pub/www.wolfram.com/home/img/nb/dark/nb01-dark-frame1.png250.3 KiB
files.wolframcdn.com/pub/www.wolfram.com/home/img/nb/dark/nb05-dark.png176.6 KiB
files.wolframcdn.com/pub/www.wolfram.com/home/img/nb/dark/nb07-dark.png151.1 KiB
files.wolframcdn.com/pub/www.wolfram.com/home/img/nb/dark/nb02-dark-cover.png148.9 KiB
files.wolframcdn.com/pub/www.wolfram.com/home/img/nb/dark/nb07-dark-cropped.png143.5 KiB
cdn.livechatinc.com/widget/static/js/2.CGf7BmyT.chunk.js123.4 KiB

Set an explicit width and height on image elements to reduce layout shifts and improve CLS. Learn how to set image dimensions

URL
div.items-container > div.items > div > img div.items-container > div.items > div > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/nb/dark/nb05-dark.png
div.items-container > div.items > div > img div.items-container > div.items > div > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/nb/dark/nb07-dark.png
div.wrapper > div.cta-consulting-banner > a.cta-consulting > img div.wrapper > div.cta-consulting-banner > a.cta-consulting > img
/pub/www.wolfram.com/home/img/cta-bottom/cta-wolframconsu...
div.small-cta-image > a > div.btn > img div.small-cta-image > a > div.btn > img
/pub/www.wolfram.com/home/img/cta-bottom/cta-icon-downloa...
div.small-cta-image > a > div.btn > img div.small-cta-image > a > div.btn > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/cta-bottom/cta-icon-online.svg
div.cta-consulting-banner > a.cta-consulting > div.cta-consulting__links > img div.cta-consulting-banner > a.cta-consulting > div.cta-consulting__links > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/cta-bottom/cta-icon-online.svg
a.cta-chat > div > div.cta-chat__msg > img a.cta-chat > div > div.cta-chat__msg > img
/pub/www.wolfram.com/home/img/cta-bottom/cta-chat-profile...
div > div.cta-resources > div.flex > img div > div.cta-resources > div.flex > img
/pub/www.wolfram.com/home/img/cta-bottom/cta-icon-develop...
div > div.cta-resources > div.flex > img div > div.cta-resources > div.flex > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/cta-bottom/cta-icon-deploy.png
div.topicLabel > div.pos-Simulation > picture > img div.topicLabel > div.pos-Simulation > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Simulation.webp
div.topicLabel > div.pos-AI > picture > img div.topicLabel > div.pos-AI > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/AI.webp
div.topicLabel > div.pos-MachineLearning > picture > img div.topicLabel > div.pos-MachineLearning > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/MachineLearning.webp
div.topicLabel > div.pos-Modeling > picture > img div.topicLabel > div.pos-Modeling > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Modeling.webp
div.topicLabel > div.pos-Analytics > picture > img div.topicLabel > div.pos-Analytics > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Analysis.webp
div.topicLabel > div.pos-DataScience > picture > img div.topicLabel > div.pos-DataScience > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/DataScience.webp
div.topicLabel > div.pos-SustainableEnergy > picture > img div.topicLabel > div.pos-SustainableEnergy > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/SustainableEnergy.webp
div.topicLabel > div.pos-PoliticalScience > picture > img div.topicLabel > div.pos-PoliticalScience > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/PoliticalScience.webp
div.topicLabel > div.pos-BusinessAnalysis > picture > img div.topicLabel > div.pos-BusinessAnalysis > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/BusinessAnalysis.webp
div.topicLabel > div.pos-ComputationalPhilosophy > picture > img div.topicLabel > div.pos-ComputationalPhilosophy > picture > img
/pub/www.wolfram.com/home/img/network/ComputationalPhilos...
div.topicLabel > div.pos-CognitiveScience > picture > img div.topicLabel > div.pos-CognitiveScience > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/CognitiveScience.webp
div.topicLabel > div.pos-ComputerSecurity > picture > img div.topicLabel > div.pos-ComputerSecurity > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/ComputerSecurity.webp
div.topicLabel > div.pos-ComputationalJournalism > picture > img div.topicLabel > div.pos-ComputationalJournalism > picture > img
/pub/www.wolfram.com/home/img/network/ComputationalJourna...
div.topicLabel > div.pos-ContentGeneration > picture > img div.topicLabel > div.pos-ContentGeneration > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/ContentGeneration.webp
div.topicLabel > div.pos-MarketingScience > picture > img div.topicLabel > div.pos-MarketingScience > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/MarketingScience.webp
div.topicLabel > div.pos-RealEstate > picture > img div.topicLabel > div.pos-RealEstate > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/RealEstate.webp
div.topicLabel > div.pos-PlantScience > picture > img div.topicLabel > div.pos-PlantScience > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/PlantScience.webp
div.topicLabel > div.pos-CivilEngineering > picture > img div.topicLabel > div.pos-CivilEngineering > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/CivilEngineering.webp
div.topicLabel > div.pos-MediaAnalysis > picture > img div.topicLabel > div.pos-MediaAnalysis > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/MediaAnalysis.webp
div.topicLabel > div.pos-ComputerVision > picture > img div.topicLabel > div.pos-ComputerVision > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/ComputerVision.webp
div.topicLabel > div.pos-ComputationalMusic > picture > img div.topicLabel > div.pos-ComputationalMusic > picture > img
/pub/www.wolfram.com/home/img/network/ComputationalMusic....
div.topicLabel > div.pos-AppliedMath > picture > img div.topicLabel > div.pos-AppliedMath > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/AppliedMath.webp
div.topicLabel > div.pos-LabAutomation > picture > img div.topicLabel > div.pos-LabAutomation > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/LabAutomation.webp
div.topicLabel > div.pos-SoftwareEngineering > picture > img div.topicLabel > div.pos-SoftwareEngineering > picture > img
/pub/www.wolfram.com/home/img/network/SoftwareEngineering...
div.topicLabel > div.pos-UrbanStudies > picture > img div.topicLabel > div.pos-UrbanStudies > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/UrbanStudies.webp
div.topicLabel > div.pos-FoodScience > picture > img div.topicLabel > div.pos-FoodScience > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/FoodScience.webp
div.topicLabel > div.pos-ChemicalEngineering > picture > img div.topicLabel > div.pos-ChemicalEngineering > picture > img
/pub/www.wolfram.com/home/img/network/ChemicalEngineering...
div.topicLabel > div.pos-NetworkScience > picture > img div.topicLabel > div.pos-NetworkScience > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/NetworkScience.webp
div.topicLabel > div.pos-RiskAnalysis > picture > img div.topicLabel > div.pos-RiskAnalysis > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/RiskAnalysis.webp
div.topicLabel > div.pos-ManagementScience > picture > img div.topicLabel > div.pos-ManagementScience > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/ManagementScience.webp
div.topicLabel > div.pos-IndustrialEngineering > picture > img div.topicLabel > div.pos-IndustrialEngineering > picture > img
/pub/www.wolfram.com/home/img/network/IndustrialEngineeri...
div.topicLabel > div.pos-PlanetaryScience > picture > img div.topicLabel > div.pos-PlanetaryScience > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/PlanetaryScience.webp
div.topicLabel > div.pos-ElectricalEngineering > picture > img div.topicLabel > div.pos-ElectricalEngineering > picture > img
/pub/www.wolfram.com/home/img/network/ElectricalEngineeri...
div.topicLabel > div.pos-SystemDesign > picture > img div.topicLabel > div.pos-SystemDesign > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/SystemDesign.webp
div.topicLabel > div.pos-ComputationalHumanities > picture > img div.topicLabel > div.pos-ComputationalHumanities > picture > img
/pub/www.wolfram.com/home/img/network/ComputationalHumani...
div.topicLabel > div.pos-PublicHealth > picture > img div.topicLabel > div.pos-PublicHealth > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/PublicHealth.webp
div.topicLabel > div.pos-ProductionEngineering > picture > img div.topicLabel > div.pos-ProductionEngineering > picture > img
/pub/www.wolfram.com/home/img/network/ProductionEngineeri...
div.topicLabel > div.pos-Energy > picture > img div.topicLabel > div.pos-Energy > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Energy.webp
div.topicLabel > div.pos-MaterialScience > picture > img div.topicLabel > div.pos-MaterialScience > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/MaterialScience.webp
div.topicLabel > div.pos-Aerospace > picture > img div.topicLabel > div.pos-Aerospace > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Aerospace.webp
div.topicLabel > div.pos-OperationsResearch > picture > img div.topicLabel > div.pos-OperationsResearch > picture > img
/pub/www.wolfram.com/home/img/network/OperationsResearch....
div.topicLabel > div.pos-AutomotiveEngineering > picture > img div.topicLabel > div.pos-AutomotiveEngineering > picture > img
/pub/www.wolfram.com/home/img/network/AutomotiveEngineeri...
div.topicLabel > div.pos-ComputerScience > picture > img div.topicLabel > div.pos-ComputerScience > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/ComputerScience.webp

More information about the performance of your application. These numbers don't directly affect the Performance score.

●Layout shift culprits
●Optimize DOM size
●Font display
●Optimize viewport for mobile
●Reduce unused JavaScript
●User Timing marks and measures 3 user timings
●Avoid long main-thread tasks 20 long tasks found
●Avoid non-composited animations 57 animated elements found
●Network Requests
●Network Round Trip Times 120 ms
●Server Backend Latencies 140 ms
●Tasks
●Diagnostics
●Metrics
●Screenshot Thumbnails
●Final Screenshot
●Script Treemap Data
●Resources Summary
●Avoid multiple page redirects
●Initial server response time was short Root document took 130 ms
●Avoid large layout shifts 4 layout shifts found
○INP breakdown
○LCP request discovery
67

Accessibility

These checks highlight opportunities to improve the accessibility of your web app. Automatic detection can only detect a subset of issues and does not guarantee the accessibility of your web app, so manual testing is also encouraged.

Contrast

Low-contrast text is difficult or impossible for many users to read. Learn how to provide sufficient color contrast.

Failing Elements
Wolfram Community div#_footer-top > div#_footer-mobile > div#_footer-mobile-community > a
Wolfram Blog div#_footer-top > div#_footer-mobile > div#_footer-mobile-community > a
Legal div#_footer-top > div#_footer-mobile > div#_footer-mobile-legal > a
Privacy Policy div#_footer-top > div#_footer-mobile > div#_footer-mobile-legal > a
WolframAlpha.com div#_footer-top > div#_footer-mobile > div#_footer-mobile-legal > a
WolframCloud.com div#_footer-top > div#_footer-mobile > div#_footer-mobile-legal > a
2026 div#_footer-bottom-grid > div#_footer-social > div.hide > span#_footer-year
Wolfram div#_footer-bottom-grid > div#_footer-social > div.hide > a
English div.display-ib > div#_language-picker > div._current-language > span
Accept& Close div#__cookie-consent > div#__cookie-consent-table > div#__cookie-consent-right > button#__cookie-consent-button
& Close div#__cookie-consent-table > div#__cookie-consent-right > button#__cookie-consent-button > span

These are opportunities to improve the legibility of your content.

Navigation

Properly ordered headings that do not skip levels convey the semantic structure of the page, making it easier to navigate and understand when using assistive technologies. Learn more about heading order.

Failing Elements
Interactive Web Apps div.wrapper > div.deploy-grid > a > h4

These are opportunities to improve keyboard navigation in your application.

Internationalization and localization

If a page doesn't specify a `lang` attribute, a screen reader assumes that the page is in the default language that the user chose when setting up the screen reader. If the page isn't actually in the default language, then the screen reader might not announce the page's text correctly. Learn more about the `lang` attribute.

Failing Elements
html.js-enabled html.js-enabled

These are opportunities to improve the interpretation of your content by users in different locales.

Names and labels

Informative elements should aim for short, descriptive alternate text. Decorative elements can be ignored with an empty alt attribute. Learn more about the `alt` attribute.

Failing Elements
div.topicLabel > div.pos-Simulation > picture > img div.topicLabel > div.pos-Simulation > picture > img
div.topicLabel > div.pos-AI > picture > img div.topicLabel > div.pos-AI > picture > img
div.topicLabel > div.pos-MachineLearning > picture > img div.topicLabel > div.pos-MachineLearning > picture > img
div.topicLabel > div.pos-Modeling > picture > img div.topicLabel > div.pos-Modeling > picture > img
div.topicLabel > div.pos-Analytics > picture > img div.topicLabel > div.pos-Analytics > picture > img
div.topicLabel > div.pos-DataScience > picture > img div.topicLabel > div.pos-DataScience > picture > img
div.topicLabel > div.pos-SustainableEnergy > picture > img div.topicLabel > div.pos-SustainableEnergy > picture > img
div.topicLabel > div.pos-PoliticalScience > picture > img div.topicLabel > div.pos-PoliticalScience > picture > img
div.topicLabel > div.pos-BusinessAnalysis > picture > img div.topicLabel > div.pos-BusinessAnalysis > picture > img
div.topicLabel > div.pos-ComputationalPhilosophy > picture > img div.topicLabel > div.pos-ComputationalPhilosophy > picture > img
div.topicLabel > div.pos-CognitiveScience > picture > img div.topicLabel > div.pos-CognitiveScience > picture > img
div.topicLabel > div.pos-ComputerSecurity > picture > img div.topicLabel > div.pos-ComputerSecurity > picture > img
div.topicLabel > div.pos-ComputationalJournalism > picture > img div.topicLabel > div.pos-ComputationalJournalism > picture > img
div.topicLabel > div.pos-ContentGeneration > picture > img div.topicLabel > div.pos-ContentGeneration > picture > img
div.topicLabel > div.pos-MarketingScience > picture > img div.topicLabel > div.pos-MarketingScience > picture > img
div.topicLabel > div.pos-RealEstate > picture > img div.topicLabel > div.pos-RealEstate > picture > img
div.topicLabel > div.pos-PlantScience > picture > img div.topicLabel > div.pos-PlantScience > picture > img
div.topicLabel > div.pos-CivilEngineering > picture > img div.topicLabel > div.pos-CivilEngineering > picture > img
div.topicLabel > div.pos-MediaAnalysis > picture > img div.topicLabel > div.pos-MediaAnalysis > picture > img
div.topicLabel > div.pos-ComputerVision > picture > img div.topicLabel > div.pos-ComputerVision > picture > img
div.topicLabel > div.pos-ComputationalMusic > picture > img div.topicLabel > div.pos-ComputationalMusic > picture > img
div.topicLabel > div.pos-AppliedMath > picture > img div.topicLabel > div.pos-AppliedMath > picture > img
div.topicLabel > div.pos-LabAutomation > picture > img div.topicLabel > div.pos-LabAutomation > picture > img
div.topicLabel > div.pos-SoftwareEngineering > picture > img div.topicLabel > div.pos-SoftwareEngineering > picture > img
div.topicLabel > div.pos-UrbanStudies > picture > img div.topicLabel > div.pos-UrbanStudies > picture > img
div.topicLabel > div.pos-FoodScience > picture > img div.topicLabel > div.pos-FoodScience > picture > img
div.topicLabel > div.pos-ChemicalEngineering > picture > img div.topicLabel > div.pos-ChemicalEngineering > picture > img
div.topicLabel > div.pos-NetworkScience > picture > img div.topicLabel > div.pos-NetworkScience > picture > img
div.topicLabel > div.pos-RiskAnalysis > picture > img div.topicLabel > div.pos-RiskAnalysis > picture > img
div.topicLabel > div.pos-ManagementScience > picture > img div.topicLabel > div.pos-ManagementScience > picture > img
div.topicLabel > div.pos-IndustrialEngineering > picture > img div.topicLabel > div.pos-IndustrialEngineering > picture > img
div.topicLabel > div.pos-PlanetaryScience > picture > img div.topicLabel > div.pos-PlanetaryScience > picture > img
div.topicLabel > div.pos-ElectricalEngineering > picture > img div.topicLabel > div.pos-ElectricalEngineering > picture > img
div.topicLabel > div.pos-SystemDesign > picture > img div.topicLabel > div.pos-SystemDesign > picture > img
div.topicLabel > div.pos-ComputationalHumanities > picture > img div.topicLabel > div.pos-ComputationalHumanities > picture > img
div.topicLabel > div.pos-PublicHealth > picture > img div.topicLabel > div.pos-PublicHealth > picture > img
div.topicLabel > div.pos-ProductionEngineering > picture > img div.topicLabel > div.pos-ProductionEngineering > picture > img
div.topicLabel > div.pos-Energy > picture > img div.topicLabel > div.pos-Energy > picture > img
div.topicLabel > div.pos-MaterialScience > picture > img div.topicLabel > div.pos-MaterialScience > picture > img
div.topicLabel > div.pos-Aerospace > picture > img div.topicLabel > div.pos-Aerospace > picture > img
div.topicLabel > div.pos-OperationsResearch > picture > img div.topicLabel > div.pos-OperationsResearch > picture > img
div.topicLabel > div.pos-AutomotiveEngineering > picture > img div.topicLabel > div.pos-AutomotiveEngineering > picture > img
div.topicLabel > div.pos-ComputerScience > picture > img div.topicLabel > div.pos-ComputerScience > picture > img
div.topicLabel > div.pos-ComputerEngineering > picture > img div.topicLabel > div.pos-ComputerEngineering > picture > img
div.topicLabel > div.pos-RemoteSensing > picture > img div.topicLabel > div.pos-RemoteSensing > picture > img
div.topicLabel > div.pos-SystemsAnalysis > picture > img div.topicLabel > div.pos-SystemsAnalysis > picture > img
div.topicLabel > div.pos-EarthScience > picture > img div.topicLabel > div.pos-EarthScience > picture > img
div.topicLabel > div.pos-ForensicScience > picture > img div.topicLabel > div.pos-ForensicScience > picture > img
div.topicLabel > div.pos-EnvironmentalEngineering > picture > img div.topicLabel > div.pos-EnvironmentalEngineering > picture > img
div.topicLabel > div.pos-NaturalResources > picture > img div.topicLabel > div.pos-NaturalResources > picture > img
div.topicLabel > div.pos-InformationScience > picture > img div.topicLabel > div.pos-InformationScience > picture > img
div.topicLabel > div.pos-LifeSciences > picture > img div.topicLabel > div.pos-LifeSciences > picture > img
div.topicLabel > div.pos-EnvironmentalScience > picture > img div.topicLabel > div.pos-EnvironmentalScience > picture > img
div.topicLabel > div.pos-SportsAnalytics > picture > img div.topicLabel > div.pos-SportsAnalytics > picture > img
div.topicLabel > div.pos-ArtHistory > picture > img div.topicLabel > div.pos-ArtHistory > picture > img
div.topicLabel > div.pos-CreativeArts > picture > img div.topicLabel > div.pos-CreativeArts > picture > img
div.topicLabel > div.pos-ComputationalBiology > picture > img div.topicLabel > div.pos-ComputationalBiology > picture > img
div.topicLabel > div.pos-ComplexityScience > picture > img div.topicLabel > div.pos-ComplexityScience > picture > img
div.topicLabel > div.pos-Stem > picture > img div.topicLabel > div.pos-Stem > picture > img
div.topicLabel > div.pos-Healthcare > picture > img div.topicLabel > div.pos-Healthcare > picture > img
div.topicLabel > div.pos-Fintech > picture > img div.topicLabel > div.pos-Fintech > picture > img
div.topicLabel > div.pos-Manufacturing > picture > img div.topicLabel > div.pos-Manufacturing > picture > img
div.topicLabel > div.pos-Publishing > picture > img div.topicLabel > div.pos-Publishing > picture > img
div.topicLabel > div.pos-Retail > picture > img div.topicLabel > div.pos-Retail > picture > img
div.topicLabel > div.pos-Acoustics > picture > img div.topicLabel > div.pos-Acoustics > picture > img
div.topicLabel > div.pos-Agtech > picture > img div.topicLabel > div.pos-Agtech > picture > img
div.topicLabel > div.pos-Astronomy > picture > img div.topicLabel > div.pos-Astronomy > picture > img
div.topicLabel > div.pos-Ecology > picture > img div.topicLabel > div.pos-Ecology > picture > img
div.topicLabel > div.pos-Transportation > picture > img div.topicLabel > div.pos-Transportation > picture > img
div.topicLabel > div.pos-Architecture > picture > img div.topicLabel > div.pos-Architecture > picture > img
div.topicLabel > div.pos-CAD > picture > img div.topicLabel > div.pos-CAD > picture > img
div.topicLabel > div.pos-Adtech > picture > img div.topicLabel > div.pos-Adtech > picture > img
div.topicLabel > div.pos-Mathematics > picture > img div.topicLabel > div.pos-Mathematics > picture > img
div.topicLabel > div.pos-Cryptography > picture > img div.topicLabel > div.pos-Cryptography > picture > img
div.topicLabel > div.pos-Biostatistics > picture > img div.topicLabel > div.pos-Biostatistics > picture > img
div.topicLabel > div.pos-Archaeology > picture > img div.topicLabel > div.pos-Archaeology > picture > img
div.topicLabel > div.pos-Utilities > picture > img div.topicLabel > div.pos-Utilities > picture > img
div.topicLabel > div.pos-Statistics > picture > img div.topicLabel > div.pos-Statistics > picture > img
div.topicLabel > div.pos-Economics > picture > img div.topicLabel > div.pos-Economics > picture > img
div.topicLabel > div.pos-Optics > picture > img div.topicLabel > div.pos-Optics > picture > img
div.topicLabel > div.pos-IoT > picture > img div.topicLabel > div.pos-IoT > picture > img
div.topicLabel > div.pos-Mining > picture > img div.topicLabel > div.pos-Mining > picture > img
div.topicLabel > div.pos-Insurance > picture > img div.topicLabel > div.pos-Insurance > picture > img
div.topicLabel > div.pos-Blockchain > picture > img div.topicLabel > div.pos-Blockchain > picture > img
div.topicLabel > div.pos-GameTech > picture > img div.topicLabel > div.pos-GameTech > picture > img
div.topicLabel > div.pos-Neuroscience > picture > img div.topicLabel > div.pos-Neuroscience > picture > img
div.topicLabel > div.pos-Pharmacology > picture > img div.topicLabel > div.pos-Pharmacology > picture > img
div.topicLabel > div.pos-Bioengineering > picture > img div.topicLabel > div.pos-Bioengineering > picture > img
div.topicLabel > div.pos-Edtech > picture > img div.topicLabel > div.pos-Edtech > picture > img
div.topicLabel > div.pos-Quantum > picture > img div.topicLabel > div.pos-Quantum > picture > img
div.topicLabel > div.pos-Ruliology > picture > img div.topicLabel > div.pos-Ruliology > picture > img
div.topicLabel > div.pos-Linguistics > picture > img div.topicLabel > div.pos-Linguistics > picture > img
div.topicLabel > div.pos-Logistics > picture > img div.topicLabel > div.pos-Logistics > picture > img
div.topicLabel > div.pos-Psychology > picture > img div.topicLabel > div.pos-Psychology > picture > img
div.topicLabel > div.pos-Robotics > picture > img div.topicLabel > div.pos-Robotics > picture > img

These are opportunities to improve the semantics of the controls in your application. This may enhance the experience for users of assistive technology, like a screen reader.

Best practices

Touch targets with sufficient size and spacing help users who may have difficulty targeting small controls to activate the targets. Learn more about touch targets.

Failing Elements
Symbolic Programming div.columns-container > ul > li > a
Mathematical Functions div.columns-container > ul > li > a
Information Visualization div.columns-container > ul > li > a
Cultural & Linguistic Data div.columns-container > ul > li > a
Symbolic Calculus div.columns-container > ul > li > a
C++/Python Connectivity div.columns-container > ul > li > a
Array Manipulation div.columns-container > ul > li > a
Computational Geometry div.columns-container > ul > li > a

These items highlight common accessibility best practices.

○Interactive controls are keyboard focusable
○Interactive elements indicate their purpose and state
○The page has a logical tab order
○Visual order on the page follows DOM order
○User focus is not accidentally trapped in a region
○The user's focus is directed to new content added to the page
○HTML5 landmark elements are used to improve navigation
○Offscreen content is hidden from assistive technology
○Custom controls have associated labels
○Custom controls have ARIA roles
●`[aria-hidden="true"]` is not present on the document `<body>`
●Buttons have an accessible name
●`[user-scalable="no"]` is not used in the `<meta name="viewport">` element and the `[maximum-scale]` attribute is not less than 5.
●Document has a `<title>` element
●Links are distinguishable without relying on color.
●Links have a discernible name
●Lists contain only `<li>` elements and script supporting elements (`<script>` and `<template>`).
●List items (`<li>`) are contained within `<ul>`, `<ol>` or `<menu>` parent elements
●Document has a main landmark.
●`<video>` elements contain a `<track>` element with `[kind="captions"]`
●Identical links have the same purpose.
○`[accesskey]` values are unique
○`[aria-*]` attributes match their roles
○`button`, `link`, and `menuitem` elements have accessible names
○ARIA attributes are used as specified for the element's role
○Deprecated ARIA roles were not used
○Elements with `role="dialog"` or `role="alertdialog"` have accessible names.
○`[aria-hidden="true"]` elements do not contain focusable descendents
○ARIA input fields have accessible names
○ARIA `meter` elements have accessible names
○ARIA `progressbar` elements have accessible names
○Elements use only permitted ARIA attributes
○`[role]`s have all required `[aria-*]` attributes
○Elements with an ARIA `[role]` that require children to contain a specific `[role]` have all required children.
○`[role]`s are contained by their required parent element
○`[role]` values are valid
○Elements with the `role=text` attribute do not have focusable descendents.
○ARIA toggle fields have accessible names
○ARIA `tooltip` elements have accessible names
○ARIA `treeitem` elements have accessible names
○`[aria-*]` attributes have valid values
○`[aria-*]` attributes are valid and not misspelled
○The page contains a heading, skip link, or landmark region
○`<dl>`'s contain only properly-ordered `<dt>` and `<dd>` groups, `<script>`, `<template>` or `<div>` elements.
○Definition list items are wrapped in `<dl>` elements
○ARIA IDs are unique
○No form fields have multiple labels
○`<frame>` or `<iframe>` elements have a title
○`<html>` element has a valid value for its `[lang]` attribute
○`<html>` element has an `[xml:lang]` attribute with the same base language as the `[lang]` attribute.
○Input buttons have discernible text.
○`<input type="image">` elements have `[alt]` text
○Form elements have associated labels
○The document does not use `<meta http-equiv="refresh">`
○`<object>` elements have alternate text
○Select elements have associated label elements.
○Skip links are focusable.
○No element has a `[tabindex]` value greater than 0
○Cells in a `<table>` element that use the `[headers]` attribute refer to table cells within the same table.
○`<th>` elements and elements with `[role="columnheader"/"rowheader"]` have data cells they describe.
○`[lang]` attributes have a valid value
○Tables have different content in the summary attribute and `<caption>`.
○All heading elements contain content.
○Uses ARIA roles only on compatible elements
○Image elements do not have `[alt]` attributes that are redundant text.
○Elements with visible text labels have matching accessible names.
○Tables use `<caption>` instead of cells with the `[colspan]` attribute to indicate a caption.
○`<td>` elements in a large `<table>` have one or more table headers.
100

Best Practices

●Uses HTTPS
●Avoids deprecated APIs
●Avoids third-party cookies
●Allows users to paste into input fields
●Avoids requesting the geolocation permission on page load
●Avoids requesting the notification permission on page load
●Displays images with correct aspect ratio
●Serves images with appropriate resolution
●Page has the HTML doctype
●Properly defines charset
●No browser errors logged to the console
●No issues in the `Issues` panel in Chrome Devtools
●Ensure CSP is effective against XSS attacks
●Use a strong HSTS policy
●Ensure proper origin isolation with COOP
●Mitigate clickjacking with XFO or CSP
●Mitigate DOM-based XSS with Trusted Types
●Detected JavaScript libraries
●Page has valid source maps
○Redirects HTTP traffic to HTTPS
85

SEO

These checks ensure that your page is following basic search engine optimization advice. There are many additional factors Lighthouse does not score here that may affect your search ranking, including performance on Core Web Vitals. Learn more about Google Search Essentials.

Crawling and Indexing

Search engines may use `href` attributes on links to crawl websites. Ensure that the `href` attribute of anchor elements links to an appropriate destination, so more pages of the site can be discovered. Learn how to make links crawlable

Uncrawlable Link
Ask Our Experts a Question How can I help? div.wrapper > div.resources-wrapper > div.cgrid > a.cta-chat

To appear in search results, crawlers need access to your app.

Content Best Practices

Informative elements should aim for short, descriptive alternate text. Decorative elements can be ignored with an empty alt attribute. Learn more about the `alt` attribute.

Failing Elements
div.topicLabel > div.pos-Simulation > picture > img div.topicLabel > div.pos-Simulation > picture > img
div.topicLabel > div.pos-AI > picture > img div.topicLabel > div.pos-AI > picture > img
div.topicLabel > div.pos-MachineLearning > picture > img div.topicLabel > div.pos-MachineLearning > picture > img
div.topicLabel > div.pos-Modeling > picture > img div.topicLabel > div.pos-Modeling > picture > img
div.topicLabel > div.pos-Analytics > picture > img div.topicLabel > div.pos-Analytics > picture > img
div.topicLabel > div.pos-DataScience > picture > img div.topicLabel > div.pos-DataScience > picture > img
div.topicLabel > div.pos-SustainableEnergy > picture > img div.topicLabel > div.pos-SustainableEnergy > picture > img
div.topicLabel > div.pos-PoliticalScience > picture > img div.topicLabel > div.pos-PoliticalScience > picture > img
div.topicLabel > div.pos-BusinessAnalysis > picture > img div.topicLabel > div.pos-BusinessAnalysis > picture > img
div.topicLabel > div.pos-ComputationalPhilosophy > picture > img div.topicLabel > div.pos-ComputationalPhilosophy > picture > img
div.topicLabel > div.pos-CognitiveScience > picture > img div.topicLabel > div.pos-CognitiveScience > picture > img
div.topicLabel > div.pos-ComputerSecurity > picture > img div.topicLabel > div.pos-ComputerSecurity > picture > img
div.topicLabel > div.pos-ComputationalJournalism > picture > img div.topicLabel > div.pos-ComputationalJournalism > picture > img
div.topicLabel > div.pos-ContentGeneration > picture > img div.topicLabel > div.pos-ContentGeneration > picture > img
div.topicLabel > div.pos-MarketingScience > picture > img div.topicLabel > div.pos-MarketingScience > picture > img
div.topicLabel > div.pos-RealEstate > picture > img div.topicLabel > div.pos-RealEstate > picture > img
div.topicLabel > div.pos-PlantScience > picture > img div.topicLabel > div.pos-PlantScience > picture > img
div.topicLabel > div.pos-CivilEngineering > picture > img div.topicLabel > div.pos-CivilEngineering > picture > img
div.topicLabel > div.pos-MediaAnalysis > picture > img div.topicLabel > div.pos-MediaAnalysis > picture > img
div.topicLabel > div.pos-ComputerVision > picture > img div.topicLabel > div.pos-ComputerVision > picture > img
div.topicLabel > div.pos-ComputationalMusic > picture > img div.topicLabel > div.pos-ComputationalMusic > picture > img
div.topicLabel > div.pos-AppliedMath > picture > img div.topicLabel > div.pos-AppliedMath > picture > img
div.topicLabel > div.pos-LabAutomation > picture > img div.topicLabel > div.pos-LabAutomation > picture > img
div.topicLabel > div.pos-SoftwareEngineering > picture > img div.topicLabel > div.pos-SoftwareEngineering > picture > img
div.topicLabel > div.pos-UrbanStudies > picture > img div.topicLabel > div.pos-UrbanStudies > picture > img
div.topicLabel > div.pos-FoodScience > picture > img div.topicLabel > div.pos-FoodScience > picture > img
div.topicLabel > div.pos-ChemicalEngineering > picture > img div.topicLabel > div.pos-ChemicalEngineering > picture > img
div.topicLabel > div.pos-NetworkScience > picture > img div.topicLabel > div.pos-NetworkScience > picture > img
div.topicLabel > div.pos-RiskAnalysis > picture > img div.topicLabel > div.pos-RiskAnalysis > picture > img
div.topicLabel > div.pos-ManagementScience > picture > img div.topicLabel > div.pos-ManagementScience > picture > img
div.topicLabel > div.pos-IndustrialEngineering > picture > img div.topicLabel > div.pos-IndustrialEngineering > picture > img
div.topicLabel > div.pos-PlanetaryScience > picture > img div.topicLabel > div.pos-PlanetaryScience > picture > img
div.topicLabel > div.pos-ElectricalEngineering > picture > img div.topicLabel > div.pos-ElectricalEngineering > picture > img
div.topicLabel > div.pos-SystemDesign > picture > img div.topicLabel > div.pos-SystemDesign > picture > img
div.topicLabel > div.pos-ComputationalHumanities > picture > img div.topicLabel > div.pos-ComputationalHumanities > picture > img
div.topicLabel > div.pos-PublicHealth > picture > img div.topicLabel > div.pos-PublicHealth > picture > img
div.topicLabel > div.pos-ProductionEngineering > picture > img div.topicLabel > div.pos-ProductionEngineering > picture > img
div.topicLabel > div.pos-Energy > picture > img div.topicLabel > div.pos-Energy > picture > img
div.topicLabel > div.pos-MaterialScience > picture > img div.topicLabel > div.pos-MaterialScience > picture > img
div.topicLabel > div.pos-Aerospace > picture > img div.topicLabel > div.pos-Aerospace > picture > img
div.topicLabel > div.pos-OperationsResearch > picture > img div.topicLabel > div.pos-OperationsResearch > picture > img
div.topicLabel > div.pos-AutomotiveEngineering > picture > img div.topicLabel > div.pos-AutomotiveEngineering > picture > img
div.topicLabel > div.pos-ComputerScience > picture > img div.topicLabel > div.pos-ComputerScience > picture > img
div.topicLabel > div.pos-ComputerEngineering > picture > img div.topicLabel > div.pos-ComputerEngineering > picture > img
div.topicLabel > div.pos-RemoteSensing > picture > img div.topicLabel > div.pos-RemoteSensing > picture > img
div.topicLabel > div.pos-SystemsAnalysis > picture > img div.topicLabel > div.pos-SystemsAnalysis > picture > img
div.topicLabel > div.pos-EarthScience > picture > img div.topicLabel > div.pos-EarthScience > picture > img
div.topicLabel > div.pos-ForensicScience > picture > img div.topicLabel > div.pos-ForensicScience > picture > img
div.topicLabel > div.pos-EnvironmentalEngineering > picture > img div.topicLabel > div.pos-EnvironmentalEngineering > picture > img
div.topicLabel > div.pos-NaturalResources > picture > img div.topicLabel > div.pos-NaturalResources > picture > img
div.topicLabel > div.pos-InformationScience > picture > img div.topicLabel > div.pos-InformationScience > picture > img
div.topicLabel > div.pos-LifeSciences > picture > img div.topicLabel > div.pos-LifeSciences > picture > img
div.topicLabel > div.pos-EnvironmentalScience > picture > img div.topicLabel > div.pos-EnvironmentalScience > picture > img
div.topicLabel > div.pos-SportsAnalytics > picture > img div.topicLabel > div.pos-SportsAnalytics > picture > img
div.topicLabel > div.pos-ArtHistory > picture > img div.topicLabel > div.pos-ArtHistory > picture > img
div.topicLabel > div.pos-CreativeArts > picture > img div.topicLabel > div.pos-CreativeArts > picture > img
div.topicLabel > div.pos-ComputationalBiology > picture > img div.topicLabel > div.pos-ComputationalBiology > picture > img
div.topicLabel > div.pos-ComplexityScience > picture > img div.topicLabel > div.pos-ComplexityScience > picture > img
div.topicLabel > div.pos-Stem > picture > img div.topicLabel > div.pos-Stem > picture > img
div.topicLabel > div.pos-Healthcare > picture > img div.topicLabel > div.pos-Healthcare > picture > img
div.topicLabel > div.pos-Fintech > picture > img div.topicLabel > div.pos-Fintech > picture > img
div.topicLabel > div.pos-Manufacturing > picture > img div.topicLabel > div.pos-Manufacturing > picture > img
div.topicLabel > div.pos-Publishing > picture > img div.topicLabel > div.pos-Publishing > picture > img
div.topicLabel > div.pos-Retail > picture > img div.topicLabel > div.pos-Retail > picture > img
div.topicLabel > div.pos-Acoustics > picture > img div.topicLabel > div.pos-Acoustics > picture > img
div.topicLabel > div.pos-Agtech > picture > img div.topicLabel > div.pos-Agtech > picture > img
div.topicLabel > div.pos-Astronomy > picture > img div.topicLabel > div.pos-Astronomy > picture > img
div.topicLabel > div.pos-Ecology > picture > img div.topicLabel > div.pos-Ecology > picture > img
div.topicLabel > div.pos-Transportation > picture > img div.topicLabel > div.pos-Transportation > picture > img
div.topicLabel > div.pos-Architecture > picture > img div.topicLabel > div.pos-Architecture > picture > img
div.topicLabel > div.pos-CAD > picture > img div.topicLabel > div.pos-CAD > picture > img
div.topicLabel > div.pos-Adtech > picture > img div.topicLabel > div.pos-Adtech > picture > img
div.topicLabel > div.pos-Mathematics > picture > img div.topicLabel > div.pos-Mathematics > picture > img
div.topicLabel > div.pos-Cryptography > picture > img div.topicLabel > div.pos-Cryptography > picture > img
div.topicLabel > div.pos-Biostatistics > picture > img div.topicLabel > div.pos-Biostatistics > picture > img
div.topicLabel > div.pos-Archaeology > picture > img div.topicLabel > div.pos-Archaeology > picture > img
div.topicLabel > div.pos-Utilities > picture > img div.topicLabel > div.pos-Utilities > picture > img
div.topicLabel > div.pos-Statistics > picture > img div.topicLabel > div.pos-Statistics > picture > img
div.topicLabel > div.pos-Economics > picture > img div.topicLabel > div.pos-Economics > picture > img
div.topicLabel > div.pos-Optics > picture > img div.topicLabel > div.pos-Optics > picture > img
div.topicLabel > div.pos-IoT > picture > img div.topicLabel > div.pos-IoT > picture > img
div.topicLabel > div.pos-Mining > picture > img div.topicLabel > div.pos-Mining > picture > img
div.topicLabel > div.pos-Insurance > picture > img div.topicLabel > div.pos-Insurance > picture > img
div.topicLabel > div.pos-Blockchain > picture > img div.topicLabel > div.pos-Blockchain > picture > img
div.topicLabel > div.pos-GameTech > picture > img div.topicLabel > div.pos-GameTech > picture > img
div.topicLabel > div.pos-Neuroscience > picture > img div.topicLabel > div.pos-Neuroscience > picture > img
div.topicLabel > div.pos-Pharmacology > picture > img div.topicLabel > div.pos-Pharmacology > picture > img
div.topicLabel > div.pos-Bioengineering > picture > img div.topicLabel > div.pos-Bioengineering > picture > img
div.topicLabel > div.pos-Edtech > picture > img div.topicLabel > div.pos-Edtech > picture > img
div.topicLabel > div.pos-Quantum > picture > img div.topicLabel > div.pos-Quantum > picture > img
div.topicLabel > div.pos-Ruliology > picture > img div.topicLabel > div.pos-Ruliology > picture > img
div.topicLabel > div.pos-Linguistics > picture > img div.topicLabel > div.pos-Linguistics > picture > img
div.topicLabel > div.pos-Logistics > picture > img div.topicLabel > div.pos-Logistics > picture > img
div.topicLabel > div.pos-Psychology > picture > img div.topicLabel > div.pos-Psychology > picture > img
div.topicLabel > div.pos-Robotics > picture > img div.topicLabel > div.pos-Robotics > picture > img

Format your HTML in a way that enables crawlers to better understand your app’s content.

○Structured data is valid
●Page isn’t blocked from indexing
●Document has a `<title>` element
●Document has a meta description
●Page has successful HTTP status code
●Links have descriptive text
●robots.txt is valid
●Document has a valid `hreflang`
●Document has a valid `rel=canonical`

Lighthouse Scores

Industry-standard audits powered by Google Lighthouse. — Desktop

36
Performance Overall performance score (0–100) based on Core Web Vitals and other metrics. 90+ is good.
74
Accessibility Measures how accessible the page is for users with disabilities. Checks color contrast, ARIA labels, and semantic HTML.
100
Best Practices Checks for modern web development best practices including HTTPS, no console errors, and secure JavaScript.
85
SEO Measures basic SEO optimizations: meta tags, crawlability, link text, and mobile friendliness.

Core Web Vitals

Key metrics that affect user experience. — Desktop

First Contentful Paint First Contentful Paint — how long until the browser renders the first piece of content. Under 1.8s is good.

2.20 s

Largest Contentful Paint Largest Contentful Paint — how long until the largest visible element loads. Under 2.5s is good.

5.59 s

Total Blocking Time Total Blocking Time — total time the main thread was blocked, preventing user input. Under 200ms is good.

609 ms

Cumulative Layout Shift Cumulative Layout Shift — measures visual stability. How much the page layout shifts during loading. Under 0.1 is good.

0.002

Speed Index Speed Index — how quickly content is visually displayed during load. Under 3.4s is good.

3.67 s

Time to Interactive Time to Interactive — how long until the page is fully interactive and responds to user input. Under 3.8s is good.

6.28 s

Detailed Report

Audit breakdown by category with detailed findings.

36

Performance

Insights

Remove large, duplicate JavaScript modules from bundles to reduce unnecessary bytes consumed by network activity.

Polyfills and transforms enable older browsers to use new JavaScript features. However, many aren't necessary for modern browsers. Consider modifying your JavaScript build process to not transpile Baseline features, unless you know you must support older browsers. Learn why most sites can deploy ES6+ code without transpiling

3rd party code can significantly impact load performance. Reduce and defer loading of 3rd party code to prioritize your page's content.

A long cache lifetime can speed up repeat visits to your page. Learn more about caching.

RequestCache TTLTransfer Size
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files.wolframcdn.com/pub/www.wolfram.com/home/js/gsap/ScrollTrigger.3.13.0.js0.0 ms17.8 KiB
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A forced reflow occurs when JavaScript queries geometric properties (such as offsetWidth) after styles have been invalidated by a change to the DOM state. This can result in poor performance. Learn more about forced reflows and possible mitigations.

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Each subpart has specific improvement strategies. Ideally, most of the LCP time should be spent on loading the resources, not within delays.

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files.wolframcdn.com/pub/www.wolfram.com/home/img/network/SportsAnalytics.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/ArtHistory.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/CreativeArts.webphttp/1.1
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files.wolframcdn.com/pub/www.wolfram.com/home/img/network/STEM.webphttp/1.1
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files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Fintech.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Manufacturing.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Publishing.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Retail.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Acoustics.webphttp/1.1
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files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Astronomy.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Ecology.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Transportation.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Architecture.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/CAD.webphttp/1.1
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files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Biostatistics.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Archaeology.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Utilities.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Statistics.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Economics.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Optics.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/IoT.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Mining.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Insurance.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Blockchain.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/GameTech.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Neuroscience.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Pharmacology.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Bioengineering.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Edtech.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Quantum.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Ruliology.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Linguistics.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Logistics.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Psychology.webphttp/1.1
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Robotics.webphttp/1.1
/common/liveChat/1.0.0/chat.js?wriLiveChatUrl=https%3A%2F...http/1.1
www.wolfram.com/favicon.svghttp/1.1

Avoid chaining critical requests by reducing the length of chains, reducing the download size of resources, or deferring the download of unnecessary resources to improve page load.

description: [preconnect](https://developer.chrome.com/docs/lighthouse/performance/uses-rel-preconnect/) hints help the browser establish a connection earlier in the page load, saving time when the first request for that origin is made. The following are the origins that the page preconnected to.
title: Preconnected origins
description: Add [preconnect](https://developer.chrome.com/docs/lighthouse/performance/uses-rel-preconnect/) hints to your most important origins, but try to use no more than 4.
title: Preconnect candidates
value: No additional origins are good candidates for preconnecting

Requests are blocking the page's initial render, which may delay LCP. Deferring or inlining can move these network requests out of the critical path.

URLTransfer SizeDuration
www.wolfram.com/assets/css/style.min.css.en?v=20251009100577.8 KiB981 ms
www.wolfram.com/common/js/jquery/3.7.1/jquery.min.js29.1 KiB657 ms
www.wolfram.com/common/javascript/analytics.js10.9 KiB495 ms
www.wolfram.com/common/js/jquery/plugins/migrate/3.5.2/jquery.migrate.min.js5.2 KiB495 ms
www.wolfram.com/common/framework/js/head.en.js1.6 KiB495 ms
www.wolfram.com/common/framework/css/framework.en.css38.7 KiB333 ms
www.wolfram.com/common/javascript/wal/latest/walLoad.js1.5 KiB495 ms
www.wolfram.com/common/framework/css/gui.en.css4.5 KiB495 ms
www.wolfram.com/assets/css/topics-cloud.min.css.en?v=20251009100511.7 KiB495 ms
files.wolframcdn.com/pub/fonts/source-sans-pro/1.0/global.css801 B207 ms
/css2?family=Noto+Serif:ital,wght@0,100..900;1,100..900&d...1.5 KiB293 ms

Your first network request is the most important. Reduce its latency by avoiding redirects, ensuring a fast server response, and enabling text compression.

Reducing the download time of images can improve the perceived load time of the page and LCP. Learn more about optimizing image size

URLResource SizeEst Savings
div.topicLabel > div.pos-UrbanStudies > picture > img div.topicLabel > div.pos-UrbanStudies > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/UrbanStudies.webp16.8 KiB10.3 KiB
div.topicLabel > div.pos-ComputationalPhilosophy > picture > img div.topicLabel > div.pos-ComputationalPhilosophy > picture > img
/pub/www.wolfram.com/home/img/network/ComputationalPhilos...15.1 KiB8.6 KiB
div.topicLabel > div.pos-RealEstate > picture > img div.topicLabel > div.pos-RealEstate > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/RealEstate.webp14.8 KiB8.3 KiB
div.topicLabel > div.pos-ComputerEngineering > picture > img div.topicLabel > div.pos-ComputerEngineering > picture > img
/pub/www.wolfram.com/home/img/network/ComputerEngineering...14.5 KiB8.0 KiB
div.topicLabel > div.pos-Astronomy > picture > img div.topicLabel > div.pos-Astronomy > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Astronomy.webp14.4 KiB7.9 KiB
div.topicLabel > div.pos-Agtech > picture > img div.topicLabel > div.pos-Agtech > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Agtech.webp14.2 KiB7.7 KiB
div.topicLabel > div.pos-CreativeArts > picture > img div.topicLabel > div.pos-CreativeArts > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/CreativeArts.webp13.9 KiB7.4 KiB
div.topicLabel > div.pos-Bioengineering > picture > img div.topicLabel > div.pos-Bioengineering > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Bioengineering.webp13.4 KiB6.9 KiB
div.topicLabel > div.pos-CivilEngineering > picture > img div.topicLabel > div.pos-CivilEngineering > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/CivilEngineering.webp13.1 KiB6.6 KiB
div.topicLabel > div.pos-PlanetaryScience > picture > img div.topicLabel > div.pos-PlanetaryScience > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/PlanetaryScience.webp13.1 KiB6.6 KiB
div.topicLabel > div.pos-AppliedMath > picture > img div.topicLabel > div.pos-AppliedMath > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/AppliedMath.webp12.7 KiB6.2 KiB
div.topicLabel > div.pos-PublicHealth > picture > img div.topicLabel > div.pos-PublicHealth > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/PublicHealth.webp12.6 KiB6.1 KiB
div.topicLabel > div.pos-Mining > picture > img div.topicLabel > div.pos-Mining > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Mining.webp12.3 KiB5.8 KiB
div.topicLabel > div.pos-ComplexityScience > picture > img div.topicLabel > div.pos-ComplexityScience > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/ComplexityScience.webp12.1 KiB5.6 KiB
div.topicLabel > div.pos-EarthScience > picture > img div.topicLabel > div.pos-EarthScience > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/EarthScience.webp11.8 KiB5.3 KiB
div.topicLabel > div.pos-RemoteSensing > picture > img div.topicLabel > div.pos-RemoteSensing > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/RemoteSensing.webp11.6 KiB5.1 KiB
div.topicLabel > div.pos-Archaeology > picture > img div.topicLabel > div.pos-Archaeology > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Archaeology.webp11.5 KiB5.0 KiB
div.topicLabel > div.pos-Ruliology > picture > img div.topicLabel > div.pos-Ruliology > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Ruliology.webp11.2 KiB4.7 KiB
div.topicLabel > div.pos-Statistics > picture > img div.topicLabel > div.pos-Statistics > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Statistics.webp10.9 KiB4.4 KiB
div.topicLabel > div.pos-Optics > picture > img div.topicLabel > div.pos-Optics > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Optics.webp10.9 KiB4.4 KiB
div.topicLabel > div.pos-GameTech > picture > img div.topicLabel > div.pos-GameTech > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/GameTech.webp10.9 KiB4.4 KiB
div.topicLabel > div.pos-Adtech > picture > img div.topicLabel > div.pos-Adtech > picture > img
files.wolframcdn.com/pub/www.wolfram.com/home/img/network/Adtech.webp10.6 KiB4.1 KiB

These insights are also available in the Chrome DevTools Performance Panel - record a trace to view more detailed information.

Time to Interactive is the amount of time it takes for the page to become fully interactive. Learn more about the Time to Interactive metric.

TTI

The maximum potential First Input Delay that your users could experience is the duration of the longest task. Learn more about the Maximum Potential First Input Delay metric.

Diagnostics

Consider reducing the time spent parsing, compiling and executing JS. You may find delivering smaller JS payloads helps with this. Learn how to minimize main-thread work

CategoryTime Spent
Other4.2 s
Style & Layout1.1 s
Script Evaluation542 ms
Rendering98 ms
Parse HTML & CSS40 ms
Script Parsing & Compilation14 ms
Garbage Collection11 ms

Many navigations are performed by going back to a previous page, or forwards again. The back/forward cache (bfcache) can speed up these return navigations. Learn more about the bfcache

Failure reasonFailure type
Pages with WebSocket cannot enter back/forward cache.Pending browser support

Minifying CSS files can reduce network payload sizes. Learn how to minify CSS.

Estimated savings: 0.0 ms 6.2 KiB
URLTransfer SizeEst Savings
www.wolfram.com/common/framework/css/framework.en.css38.7 KiB6.2 KiB

Minifying JavaScript files can reduce payload sizes and script parse time. Learn how to minify JavaScript.

Estimated savings: 0.0 ms 19.0 KiB
URLTransfer SizeEst Savings
www.wolfram.com/common/js/announcements/script.js15.4 KiB8.7 KiB
www.wolfram.com/common/javascript/analytics.js10.6 KiB4.7 KiB
/common/liveChat/1.0.0/chat.js?wriLiveChatUrl=https%3A%2F...6.8 KiB3.1 KiB
www.wolfram.com/common/framework/js/body.en.js4.6 KiB2.5 KiB

Reduce unused rules from stylesheets and defer CSS not used for above-the-fold content to decrease bytes consumed by network activity. Learn how to reduce unused CSS.

Estimated savings: 0.0 ms 37.6 KiB
URLTransfer SizeEst Savings
www.wolfram.com/common/framework/css/framework.en.css38.3 KiB37.6 KiB

Large network payloads cost users real money and are highly correlated with long load times. Learn how to reduce payload sizes.

URLTransfer Size
files.wolframcdn.com/pub/www.wolfram.com/home/img/hero/hero-background.webp1.3 MiB
/pub/www.wolfram.com/home/img/partners/partners-section-b...546.5 KiB
www.wolfram.com/298.7 KiB
files.wolframcdn.com/pub/www.wolfram.com/home/img/nb/dark/nb06-dark-cover.png272.3 KiB
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Set an explicit width and height on image elements to reduce layout shifts and improve CLS. Learn how to set image dimensions

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More information about the performance of your application. These numbers don't directly affect the Performance score.

●Layout shift culprits
●Optimize DOM size
●Font display
●Optimize viewport for mobile
●Reduce unused JavaScript
●User Timing marks and measures 3 user timings
●JavaScript execution time 0.5 s
●Avoid long main-thread tasks 15 long tasks found
●Avoid non-composited animations 8 animated elements found
●Network Requests
●Network Round Trip Times 120 ms
●Server Backend Latencies 130 ms
●Tasks
●Diagnostics
●Metrics
●Screenshot Thumbnails
●Final Screenshot
●Script Treemap Data
●Resources Summary
●Avoid multiple page redirects
●Initial server response time was short Root document took 140 ms
●Avoid large layout shifts 5 layout shifts found
○INP breakdown
○LCP request discovery
74

Accessibility

These checks highlight opportunities to improve the accessibility of your web app. Automatic detection can only detect a subset of issues and does not guarantee the accessibility of your web app, so manual testing is also encouraged.

Contrast

Low-contrast text is difficult or impossible for many users to read. Learn how to provide sufficient color contrast.

Failing Elements
Wolfram|One div > ul > li > a
Mathematica div > ul > li > a
Notebook Assistant + LLM Kit div > ul > li > a
Compute Services div > ul > li > a
System Modeler div > ul > li > a
Wolfram|Alpha Notebook Edition div > ul > li > a
Wolfram|Alpha Pro div > ul > li > a
Mobile Apps div > ul > li > a
Wolfram Engine div > ul > li > a
Wolfram Player div > ul > li > a
Volume & Site Licensing div > ul > li > a
Server Deployment Options div > ul > li > a
Wolfram Consulting div > ul > li > a
Data Repository div > ul > li > a
Function Repository div > ul > li > a
Community Paclet Repository div > ul > li > a
Neural Net Repository div > ul > li > a
Prompt Repository div > ul > li > a
Wolfram Language Example Repository div > ul > li > a
Notebook Archive div > ul > li > a
Wolfram GitHub div > ul > li > a
Wolfram U div > ul > li > a
Wolfram Language Documentation div > ul > li > a
Webinars & Training div > ul > li > a
Educational Programs div > ul > li > a
Wolfram Language Introduction div > ul > li > a
Fast Introduction for Programmers div > ul > li > a
Fast Introduction for Math Students div > ul > li > a
Books div > ul > li > a
Wolfram Community div > ul > li > a
Wolfram Blog div > ul > li > a
Wolfram|Alpha div > ul > li > a
Wolfram Problem Generator div > ul > li > a
Wolfram Challenges div > ul > li > a
Computer-Based Math div > ul > li > a
Computational Thinking div > ul > li > a
Computational Adventures div > ul > li > a
Demonstrations Project div > ul > li > a
Wolfram Data Drop div > ul > li > a
MathWorld div > ul > li > a
Wolfram Science div > ul > li > a
Wolfram Media Publishing div > ul > li > a
Store div > ul > li > a
Product Downloads div > ul > li > a
User Portal div > ul > li > a
Your Account div > ul > li > a
Organization Access div > ul > li > a
Support FAQ div > ul > li > a
Contact Support div > ul > li > a
About Wolfram div > ul > li > a
Careers div > ul > li > a
Contact div > ul > li > a
Events div > ul > li > a
© 2026 Wolfram | Legal & Privacy Policy | div#_footer-bottom > div#_footer-bottom-grid > div#_footer-language > div.display-ib
2026 div#_footer-bottom-grid > div#_footer-language > div.display-ib > span#_footer-year
Wolfram div#_footer-bottom-grid > div#_footer-language > div.display-ib > a
Legal div#_footer-bottom-grid > div#_footer-language > div.display-ib > a
Privacy Policy div#_footer-bottom-grid > div#_footer-language > div.display-ib > a
English div.display-ib > div#_language-picker > div._current-language > span
Accept & Close div#__cookie-consent > div#__cookie-consent-table > div#__cookie-consent-right > button#__cookie-consent-button
& Close div#__cookie-consent-table > div#__cookie-consent-right > button#__cookie-consent-button > span

These are opportunities to improve the legibility of your content.

Navigation

Properly ordered headings that do not skip levels convey the semantic structure of the page, making it easier to navigate and understand when using assistive technologies. Learn more about heading order.

Failing Elements
Interactive Web Apps div.wrapper > div.deploy-grid > a > h4

These are opportunities to improve keyboard navigation in your application.

Internationalization and localization

If a page doesn't specify a `lang` attribute, a screen reader assumes that the page is in the default language that the user chose when setting up the screen reader. If the page isn't actually in the default language, then the screen reader might not announce the page's text correctly. Learn more about the `lang` attribute.

Failing Elements
html.js-enabled html.js-enabled

These are opportunities to improve the interpretation of your content by users in different locales.

Names and labels

Informative elements should aim for short, descriptive alternate text. Decorative elements can be ignored with an empty alt attribute. Learn more about the `alt` attribute.

Failing Elements
div.topicLabel > div.pos-Simulation > picture > img div.topicLabel > div.pos-Simulation > picture > img
div.topicLabel > div.pos-AI > picture > img div.topicLabel > div.pos-AI > picture > img
div.topicLabel > div.pos-MachineLearning > picture > img div.topicLabel > div.pos-MachineLearning > picture > img
div.topicLabel > div.pos-Modeling > picture > img div.topicLabel > div.pos-Modeling > picture > img
div.topicLabel > div.pos-Analytics > picture > img div.topicLabel > div.pos-Analytics > picture > img
div.topicLabel > div.pos-DataScience > picture > img div.topicLabel > div.pos-DataScience > picture > img
div.topicLabel > div.pos-SustainableEnergy > picture > img div.topicLabel > div.pos-SustainableEnergy > picture > img
div.topicLabel > div.pos-PoliticalScience > picture > img div.topicLabel > div.pos-PoliticalScience > picture > img
div.topicLabel > div.pos-BusinessAnalysis > picture > img div.topicLabel > div.pos-BusinessAnalysis > picture > img
div.topicLabel > div.pos-ComputationalPhilosophy > picture > img div.topicLabel > div.pos-ComputationalPhilosophy > picture > img
div.topicLabel > div.pos-CognitiveScience > picture > img div.topicLabel > div.pos-CognitiveScience > picture > img
div.topicLabel > div.pos-ComputerSecurity > picture > img div.topicLabel > div.pos-ComputerSecurity > picture > img
div.topicLabel > div.pos-ComputationalJournalism > picture > img div.topicLabel > div.pos-ComputationalJournalism > picture > img
div.topicLabel > div.pos-ContentGeneration > picture > img div.topicLabel > div.pos-ContentGeneration > picture > img
div.topicLabel > div.pos-MarketingScience > picture > img div.topicLabel > div.pos-MarketingScience > picture > img
div.topicLabel > div.pos-RealEstate > picture > img div.topicLabel > div.pos-RealEstate > picture > img
div.topicLabel > div.pos-PlantScience > picture > img div.topicLabel > div.pos-PlantScience > picture > img
div.topicLabel > div.pos-CivilEngineering > picture > img div.topicLabel > div.pos-CivilEngineering > picture > img
div.topicLabel > div.pos-MediaAnalysis > picture > img div.topicLabel > div.pos-MediaAnalysis > picture > img
div.topicLabel > div.pos-ComputerVision > picture > img div.topicLabel > div.pos-ComputerVision > picture > img
div.topicLabel > div.pos-ComputationalMusic > picture > img div.topicLabel > div.pos-ComputationalMusic > picture > img
div.topicLabel > div.pos-AppliedMath > picture > img div.topicLabel > div.pos-AppliedMath > picture > img
div.topicLabel > div.pos-LabAutomation > picture > img div.topicLabel > div.pos-LabAutomation > picture > img
div.topicLabel > div.pos-SoftwareEngineering > picture > img div.topicLabel > div.pos-SoftwareEngineering > picture > img
div.topicLabel > div.pos-UrbanStudies > picture > img div.topicLabel > div.pos-UrbanStudies > picture > img
div.topicLabel > div.pos-FoodScience > picture > img div.topicLabel > div.pos-FoodScience > picture > img
div.topicLabel > div.pos-ChemicalEngineering > picture > img div.topicLabel > div.pos-ChemicalEngineering > picture > img
div.topicLabel > div.pos-NetworkScience > picture > img div.topicLabel > div.pos-NetworkScience > picture > img
div.topicLabel > div.pos-RiskAnalysis > picture > img div.topicLabel > div.pos-RiskAnalysis > picture > img
div.topicLabel > div.pos-ManagementScience > picture > img div.topicLabel > div.pos-ManagementScience > picture > img
div.topicLabel > div.pos-IndustrialEngineering > picture > img div.topicLabel > div.pos-IndustrialEngineering > picture > img
div.topicLabel > div.pos-PlanetaryScience > picture > img div.topicLabel > div.pos-PlanetaryScience > picture > img
div.topicLabel > div.pos-ElectricalEngineering > picture > img div.topicLabel > div.pos-ElectricalEngineering > picture > img
div.topicLabel > div.pos-SystemDesign > picture > img div.topicLabel > div.pos-SystemDesign > picture > img
div.topicLabel > div.pos-ComputationalHumanities > picture > img div.topicLabel > div.pos-ComputationalHumanities > picture > img
div.topicLabel > div.pos-PublicHealth > picture > img div.topicLabel > div.pos-PublicHealth > picture > img
div.topicLabel > div.pos-ProductionEngineering > picture > img div.topicLabel > div.pos-ProductionEngineering > picture > img
div.topicLabel > div.pos-Energy > picture > img div.topicLabel > div.pos-Energy > picture > img
div.topicLabel > div.pos-MaterialScience > picture > img div.topicLabel > div.pos-MaterialScience > picture > img
div.topicLabel > div.pos-Aerospace > picture > img div.topicLabel > div.pos-Aerospace > picture > img
div.topicLabel > div.pos-OperationsResearch > picture > img div.topicLabel > div.pos-OperationsResearch > picture > img
div.topicLabel > div.pos-AutomotiveEngineering > picture > img div.topicLabel > div.pos-AutomotiveEngineering > picture > img
div.topicLabel > div.pos-ComputerScience > picture > img div.topicLabel > div.pos-ComputerScience > picture > img
div.topicLabel > div.pos-ComputerEngineering > picture > img div.topicLabel > div.pos-ComputerEngineering > picture > img
div.topicLabel > div.pos-RemoteSensing > picture > img div.topicLabel > div.pos-RemoteSensing > picture > img
div.topicLabel > div.pos-SystemsAnalysis > picture > img div.topicLabel > div.pos-SystemsAnalysis > picture > img
div.topicLabel > div.pos-EarthScience > picture > img div.topicLabel > div.pos-EarthScience > picture > img
div.topicLabel > div.pos-ForensicScience > picture > img div.topicLabel > div.pos-ForensicScience > picture > img
div.topicLabel > div.pos-EnvironmentalEngineering > picture > img div.topicLabel > div.pos-EnvironmentalEngineering > picture > img
div.topicLabel > div.pos-NaturalResources > picture > img div.topicLabel > div.pos-NaturalResources > picture > img
div.topicLabel > div.pos-InformationScience > picture > img div.topicLabel > div.pos-InformationScience > picture > img
div.topicLabel > div.pos-LifeSciences > picture > img div.topicLabel > div.pos-LifeSciences > picture > img
div.topicLabel > div.pos-EnvironmentalScience > picture > img div.topicLabel > div.pos-EnvironmentalScience > picture > img
div.topicLabel > div.pos-SportsAnalytics > picture > img div.topicLabel > div.pos-SportsAnalytics > picture > img
div.topicLabel > div.pos-ArtHistory > picture > img div.topicLabel > div.pos-ArtHistory > picture > img
div.topicLabel > div.pos-CreativeArts > picture > img div.topicLabel > div.pos-CreativeArts > picture > img
div.topicLabel > div.pos-ComputationalBiology > picture > img div.topicLabel > div.pos-ComputationalBiology > picture > img
div.topicLabel > div.pos-ComplexityScience > picture > img div.topicLabel > div.pos-ComplexityScience > picture > img
div.topicLabel > div.pos-Stem > picture > img div.topicLabel > div.pos-Stem > picture > img
div.topicLabel > div.pos-Healthcare > picture > img div.topicLabel > div.pos-Healthcare > picture > img
div.topicLabel > div.pos-Fintech > picture > img div.topicLabel > div.pos-Fintech > picture > img
div.topicLabel > div.pos-Manufacturing > picture > img div.topicLabel > div.pos-Manufacturing > picture > img
div.topicLabel > div.pos-Publishing > picture > img div.topicLabel > div.pos-Publishing > picture > img
div.topicLabel > div.pos-Retail > picture > img div.topicLabel > div.pos-Retail > picture > img
div.topicLabel > div.pos-Acoustics > picture > img div.topicLabel > div.pos-Acoustics > picture > img
div.topicLabel > div.pos-Agtech > picture > img div.topicLabel > div.pos-Agtech > picture > img
div.topicLabel > div.pos-Astronomy > picture > img div.topicLabel > div.pos-Astronomy > picture > img
div.topicLabel > div.pos-Ecology > picture > img div.topicLabel > div.pos-Ecology > picture > img
div.topicLabel > div.pos-Transportation > picture > img div.topicLabel > div.pos-Transportation > picture > img
div.topicLabel > div.pos-Architecture > picture > img div.topicLabel > div.pos-Architecture > picture > img
div.topicLabel > div.pos-CAD > picture > img div.topicLabel > div.pos-CAD > picture > img
div.topicLabel > div.pos-Adtech > picture > img div.topicLabel > div.pos-Adtech > picture > img
div.topicLabel > div.pos-Mathematics > picture > img div.topicLabel > div.pos-Mathematics > picture > img
div.topicLabel > div.pos-Cryptography > picture > img div.topicLabel > div.pos-Cryptography > picture > img
div.topicLabel > div.pos-Biostatistics > picture > img div.topicLabel > div.pos-Biostatistics > picture > img
div.topicLabel > div.pos-Archaeology > picture > img div.topicLabel > div.pos-Archaeology > picture > img
div.topicLabel > div.pos-Utilities > picture > img div.topicLabel > div.pos-Utilities > picture > img
div.topicLabel > div.pos-Statistics > picture > img div.topicLabel > div.pos-Statistics > picture > img
div.topicLabel > div.pos-Economics > picture > img div.topicLabel > div.pos-Economics > picture > img
div.topicLabel > div.pos-Optics > picture > img div.topicLabel > div.pos-Optics > picture > img
div.topicLabel > div.pos-IoT > picture > img div.topicLabel > div.pos-IoT > picture > img
div.topicLabel > div.pos-Mining > picture > img div.topicLabel > div.pos-Mining > picture > img
div.topicLabel > div.pos-Insurance > picture > img div.topicLabel > div.pos-Insurance > picture > img
div.topicLabel > div.pos-Blockchain > picture > img div.topicLabel > div.pos-Blockchain > picture > img
div.topicLabel > div.pos-GameTech > picture > img div.topicLabel > div.pos-GameTech > picture > img
div.topicLabel > div.pos-Neuroscience > picture > img div.topicLabel > div.pos-Neuroscience > picture > img
div.topicLabel > div.pos-Pharmacology > picture > img div.topicLabel > div.pos-Pharmacology > picture > img
div.topicLabel > div.pos-Bioengineering > picture > img div.topicLabel > div.pos-Bioengineering > picture > img
div.topicLabel > div.pos-Edtech > picture > img div.topicLabel > div.pos-Edtech > picture > img
div.topicLabel > div.pos-Quantum > picture > img div.topicLabel > div.pos-Quantum > picture > img
div.topicLabel > div.pos-Ruliology > picture > img div.topicLabel > div.pos-Ruliology > picture > img
div.topicLabel > div.pos-Linguistics > picture > img div.topicLabel > div.pos-Linguistics > picture > img
div.topicLabel > div.pos-Logistics > picture > img div.topicLabel > div.pos-Logistics > picture > img
div.topicLabel > div.pos-Psychology > picture > img div.topicLabel > div.pos-Psychology > picture > img
div.topicLabel > div.pos-Robotics > picture > img div.topicLabel > div.pos-Robotics > picture > img
div.wrapper > h3 > span.white-space-nw > img.arrow div.wrapper > h3 > span.white-space-nw > img.arrow

These are opportunities to improve the semantics of the controls in your application. This may enhance the experience for users of assistive technology, like a screen reader.

○Interactive controls are keyboard focusable
○Interactive elements indicate their purpose and state
○The page has a logical tab order
○Visual order on the page follows DOM order
○User focus is not accidentally trapped in a region
○The user's focus is directed to new content added to the page
○HTML5 landmark elements are used to improve navigation
○Offscreen content is hidden from assistive technology
○Custom controls have associated labels
○Custom controls have ARIA roles
●`[aria-hidden="true"]` is not present on the document `<body>`
●Buttons have an accessible name
●`[user-scalable="no"]` is not used in the `<meta name="viewport">` element and the `[maximum-scale]` attribute is not less than 5.
●Document has a `<title>` element
●Links are distinguishable without relying on color.
●Links have a discernible name
●Lists contain only `<li>` elements and script supporting elements (`<script>` and `<template>`).
●List items (`<li>`) are contained within `<ul>`, `<ol>` or `<menu>` parent elements
●Touch targets have sufficient size and spacing.
●Document has a main landmark.
●`<video>` elements contain a `<track>` element with `[kind="captions"]`
●Identical links have the same purpose.
○`[accesskey]` values are unique
○`[aria-*]` attributes match their roles
○`button`, `link`, and `menuitem` elements have accessible names
○ARIA attributes are used as specified for the element's role
○Deprecated ARIA roles were not used
○Elements with `role="dialog"` or `role="alertdialog"` have accessible names.
○`[aria-hidden="true"]` elements do not contain focusable descendents
○ARIA input fields have accessible names
○ARIA `meter` elements have accessible names
○ARIA `progressbar` elements have accessible names
○Elements use only permitted ARIA attributes
○`[role]`s have all required `[aria-*]` attributes
○Elements with an ARIA `[role]` that require children to contain a specific `[role]` have all required children.
○`[role]`s are contained by their required parent element
○`[role]` values are valid
○Elements with the `role=text` attribute do not have focusable descendents.
○ARIA toggle fields have accessible names
○ARIA `tooltip` elements have accessible names
○ARIA `treeitem` elements have accessible names
○`[aria-*]` attributes have valid values
○`[aria-*]` attributes are valid and not misspelled
○The page contains a heading, skip link, or landmark region
○`<dl>`'s contain only properly-ordered `<dt>` and `<dd>` groups, `<script>`, `<template>` or `<div>` elements.
○Definition list items are wrapped in `<dl>` elements
○ARIA IDs are unique
○No form fields have multiple labels
○`<frame>` or `<iframe>` elements have a title
○`<html>` element has a valid value for its `[lang]` attribute
○`<html>` element has an `[xml:lang]` attribute with the same base language as the `[lang]` attribute.
○Input buttons have discernible text.
○`<input type="image">` elements have `[alt]` text
○Form elements have associated labels
○The document does not use `<meta http-equiv="refresh">`
○`<object>` elements have alternate text
○Select elements have associated label elements.
○Skip links are focusable.
○No element has a `[tabindex]` value greater than 0
○Cells in a `<table>` element that use the `[headers]` attribute refer to table cells within the same table.
○`<th>` elements and elements with `[role="columnheader"/"rowheader"]` have data cells they describe.
○`[lang]` attributes have a valid value
○Tables have different content in the summary attribute and `<caption>`.
○All heading elements contain content.
○Uses ARIA roles only on compatible elements
○Image elements do not have `[alt]` attributes that are redundant text.
○Elements with visible text labels have matching accessible names.
○Tables use `<caption>` instead of cells with the `[colspan]` attribute to indicate a caption.
○`<td>` elements in a large `<table>` have one or more table headers.
100

Best Practices

●Uses HTTPS
●Avoids deprecated APIs
●Avoids third-party cookies
●Allows users to paste into input fields
●Avoids requesting the geolocation permission on page load
●Avoids requesting the notification permission on page load
●Displays images with correct aspect ratio
●Serves images with appropriate resolution
●Page has the HTML doctype
●Properly defines charset
●No browser errors logged to the console
●No issues in the `Issues` panel in Chrome Devtools
●Ensure CSP is effective against XSS attacks
●Use a strong HSTS policy
●Ensure proper origin isolation with COOP
●Mitigate clickjacking with XFO or CSP
●Mitigate DOM-based XSS with Trusted Types
●Detected JavaScript libraries
●Page has valid source maps
○Redirects HTTP traffic to HTTPS
85

SEO

These checks ensure that your page is following basic search engine optimization advice. There are many additional factors Lighthouse does not score here that may affect your search ranking, including performance on Core Web Vitals. Learn more about Google Search Essentials.

Crawling and Indexing

Search engines may use `href` attributes on links to crawl websites. Ensure that the `href` attribute of anchor elements links to an appropriate destination, so more pages of the site can be discovered. Learn how to make links crawlable

Uncrawlable Link
Ask Our Experts a Question How can I help? div.wrapper > div.resources-wrapper > div.cgrid > a.cta-chat

To appear in search results, crawlers need access to your app.

Content Best Practices

Informative elements should aim for short, descriptive alternate text. Decorative elements can be ignored with an empty alt attribute. Learn more about the `alt` attribute.

Failing Elements
div.topicLabel > div.pos-Simulation > picture > img div.topicLabel > div.pos-Simulation > picture > img
div.topicLabel > div.pos-AI > picture > img div.topicLabel > div.pos-AI > picture > img
div.topicLabel > div.pos-MachineLearning > picture > img div.topicLabel > div.pos-MachineLearning > picture > img
div.topicLabel > div.pos-Modeling > picture > img div.topicLabel > div.pos-Modeling > picture > img
div.topicLabel > div.pos-Analytics > picture > img div.topicLabel > div.pos-Analytics > picture > img
div.topicLabel > div.pos-DataScience > picture > img div.topicLabel > div.pos-DataScience > picture > img
div.topicLabel > div.pos-SustainableEnergy > picture > img div.topicLabel > div.pos-SustainableEnergy > picture > img
div.topicLabel > div.pos-PoliticalScience > picture > img div.topicLabel > div.pos-PoliticalScience > picture > img
div.topicLabel > div.pos-BusinessAnalysis > picture > img div.topicLabel > div.pos-BusinessAnalysis > picture > img
div.topicLabel > div.pos-ComputationalPhilosophy > picture > img div.topicLabel > div.pos-ComputationalPhilosophy > picture > img
div.topicLabel > div.pos-CognitiveScience > picture > img div.topicLabel > div.pos-CognitiveScience > picture > img
div.topicLabel > div.pos-ComputerSecurity > picture > img div.topicLabel > div.pos-ComputerSecurity > picture > img
div.topicLabel > div.pos-ComputationalJournalism > picture > img div.topicLabel > div.pos-ComputationalJournalism > picture > img
div.topicLabel > div.pos-ContentGeneration > picture > img div.topicLabel > div.pos-ContentGeneration > picture > img
div.topicLabel > div.pos-MarketingScience > picture > img div.topicLabel > div.pos-MarketingScience > picture > img
div.topicLabel > div.pos-RealEstate > picture > img div.topicLabel > div.pos-RealEstate > picture > img
div.topicLabel > div.pos-PlantScience > picture > img div.topicLabel > div.pos-PlantScience > picture > img
div.topicLabel > div.pos-CivilEngineering > picture > img div.topicLabel > div.pos-CivilEngineering > picture > img
div.topicLabel > div.pos-MediaAnalysis > picture > img div.topicLabel > div.pos-MediaAnalysis > picture > img
div.topicLabel > div.pos-ComputerVision > picture > img div.topicLabel > div.pos-ComputerVision > picture > img
div.topicLabel > div.pos-ComputationalMusic > picture > img div.topicLabel > div.pos-ComputationalMusic > picture > img
div.topicLabel > div.pos-AppliedMath > picture > img div.topicLabel > div.pos-AppliedMath > picture > img
div.topicLabel > div.pos-LabAutomation > picture > img div.topicLabel > div.pos-LabAutomation > picture > img
div.topicLabel > div.pos-SoftwareEngineering > picture > img div.topicLabel > div.pos-SoftwareEngineering > picture > img
div.topicLabel > div.pos-UrbanStudies > picture > img div.topicLabel > div.pos-UrbanStudies > picture > img
div.topicLabel > div.pos-FoodScience > picture > img div.topicLabel > div.pos-FoodScience > picture > img
div.topicLabel > div.pos-ChemicalEngineering > picture > img div.topicLabel > div.pos-ChemicalEngineering > picture > img
div.topicLabel > div.pos-NetworkScience > picture > img div.topicLabel > div.pos-NetworkScience > picture > img
div.topicLabel > div.pos-RiskAnalysis > picture > img div.topicLabel > div.pos-RiskAnalysis > picture > img
div.topicLabel > div.pos-ManagementScience > picture > img div.topicLabel > div.pos-ManagementScience > picture > img
div.topicLabel > div.pos-IndustrialEngineering > picture > img div.topicLabel > div.pos-IndustrialEngineering > picture > img
div.topicLabel > div.pos-PlanetaryScience > picture > img div.topicLabel > div.pos-PlanetaryScience > picture > img
div.topicLabel > div.pos-ElectricalEngineering > picture > img div.topicLabel > div.pos-ElectricalEngineering > picture > img
div.topicLabel > div.pos-SystemDesign > picture > img div.topicLabel > div.pos-SystemDesign > picture > img
div.topicLabel > div.pos-ComputationalHumanities > picture > img div.topicLabel > div.pos-ComputationalHumanities > picture > img
div.topicLabel > div.pos-PublicHealth > picture > img div.topicLabel > div.pos-PublicHealth > picture > img
div.topicLabel > div.pos-ProductionEngineering > picture > img div.topicLabel > div.pos-ProductionEngineering > picture > img
div.topicLabel > div.pos-Energy > picture > img div.topicLabel > div.pos-Energy > picture > img
div.topicLabel > div.pos-MaterialScience > picture > img div.topicLabel > div.pos-MaterialScience > picture > img
div.topicLabel > div.pos-Aerospace > picture > img div.topicLabel > div.pos-Aerospace > picture > img
div.topicLabel > div.pos-OperationsResearch > picture > img div.topicLabel > div.pos-OperationsResearch > picture > img
div.topicLabel > div.pos-AutomotiveEngineering > picture > img div.topicLabel > div.pos-AutomotiveEngineering > picture > img
div.topicLabel > div.pos-ComputerScience > picture > img div.topicLabel > div.pos-ComputerScience > picture > img
div.topicLabel > div.pos-ComputerEngineering > picture > img div.topicLabel > div.pos-ComputerEngineering > picture > img
div.topicLabel > div.pos-RemoteSensing > picture > img div.topicLabel > div.pos-RemoteSensing > picture > img
div.topicLabel > div.pos-SystemsAnalysis > picture > img div.topicLabel > div.pos-SystemsAnalysis > picture > img
div.topicLabel > div.pos-EarthScience > picture > img div.topicLabel > div.pos-EarthScience > picture > img
div.topicLabel > div.pos-ForensicScience > picture > img div.topicLabel > div.pos-ForensicScience > picture > img
div.topicLabel > div.pos-EnvironmentalEngineering > picture > img div.topicLabel > div.pos-EnvironmentalEngineering > picture > img
div.topicLabel > div.pos-NaturalResources > picture > img div.topicLabel > div.pos-NaturalResources > picture > img
div.topicLabel > div.pos-InformationScience > picture > img div.topicLabel > div.pos-InformationScience > picture > img
div.topicLabel > div.pos-LifeSciences > picture > img div.topicLabel > div.pos-LifeSciences > picture > img
div.topicLabel > div.pos-EnvironmentalScience > picture > img div.topicLabel > div.pos-EnvironmentalScience > picture > img
div.topicLabel > div.pos-SportsAnalytics > picture > img div.topicLabel > div.pos-SportsAnalytics > picture > img
div.topicLabel > div.pos-ArtHistory > picture > img div.topicLabel > div.pos-ArtHistory > picture > img
div.topicLabel > div.pos-CreativeArts > picture > img div.topicLabel > div.pos-CreativeArts > picture > img
div.topicLabel > div.pos-ComputationalBiology > picture > img div.topicLabel > div.pos-ComputationalBiology > picture > img
div.topicLabel > div.pos-ComplexityScience > picture > img div.topicLabel > div.pos-ComplexityScience > picture > img
div.topicLabel > div.pos-Stem > picture > img div.topicLabel > div.pos-Stem > picture > img
div.topicLabel > div.pos-Healthcare > picture > img div.topicLabel > div.pos-Healthcare > picture > img
div.topicLabel > div.pos-Fintech > picture > img div.topicLabel > div.pos-Fintech > picture > img
div.topicLabel > div.pos-Manufacturing > picture > img div.topicLabel > div.pos-Manufacturing > picture > img
div.topicLabel > div.pos-Publishing > picture > img div.topicLabel > div.pos-Publishing > picture > img
div.topicLabel > div.pos-Retail > picture > img div.topicLabel > div.pos-Retail > picture > img
div.topicLabel > div.pos-Acoustics > picture > img div.topicLabel > div.pos-Acoustics > picture > img
div.topicLabel > div.pos-Agtech > picture > img div.topicLabel > div.pos-Agtech > picture > img
div.topicLabel > div.pos-Astronomy > picture > img div.topicLabel > div.pos-Astronomy > picture > img
div.topicLabel > div.pos-Ecology > picture > img div.topicLabel > div.pos-Ecology > picture > img
div.topicLabel > div.pos-Transportation > picture > img div.topicLabel > div.pos-Transportation > picture > img
div.topicLabel > div.pos-Architecture > picture > img div.topicLabel > div.pos-Architecture > picture > img
div.topicLabel > div.pos-CAD > picture > img div.topicLabel > div.pos-CAD > picture > img
div.topicLabel > div.pos-Adtech > picture > img div.topicLabel > div.pos-Adtech > picture > img
div.topicLabel > div.pos-Mathematics > picture > img div.topicLabel > div.pos-Mathematics > picture > img
div.topicLabel > div.pos-Cryptography > picture > img div.topicLabel > div.pos-Cryptography > picture > img
div.topicLabel > div.pos-Biostatistics > picture > img div.topicLabel > div.pos-Biostatistics > picture > img
div.topicLabel > div.pos-Archaeology > picture > img div.topicLabel > div.pos-Archaeology > picture > img
div.topicLabel > div.pos-Utilities > picture > img div.topicLabel > div.pos-Utilities > picture > img
div.topicLabel > div.pos-Statistics > picture > img div.topicLabel > div.pos-Statistics > picture > img
div.topicLabel > div.pos-Economics > picture > img div.topicLabel > div.pos-Economics > picture > img
div.topicLabel > div.pos-Optics > picture > img div.topicLabel > div.pos-Optics > picture > img
div.topicLabel > div.pos-IoT > picture > img div.topicLabel > div.pos-IoT > picture > img
div.topicLabel > div.pos-Mining > picture > img div.topicLabel > div.pos-Mining > picture > img
div.topicLabel > div.pos-Insurance > picture > img div.topicLabel > div.pos-Insurance > picture > img
div.topicLabel > div.pos-Blockchain > picture > img div.topicLabel > div.pos-Blockchain > picture > img
div.topicLabel > div.pos-GameTech > picture > img div.topicLabel > div.pos-GameTech > picture > img
div.topicLabel > div.pos-Neuroscience > picture > img div.topicLabel > div.pos-Neuroscience > picture > img
div.topicLabel > div.pos-Pharmacology > picture > img div.topicLabel > div.pos-Pharmacology > picture > img
div.topicLabel > div.pos-Bioengineering > picture > img div.topicLabel > div.pos-Bioengineering > picture > img
div.topicLabel > div.pos-Edtech > picture > img div.topicLabel > div.pos-Edtech > picture > img
div.topicLabel > div.pos-Quantum > picture > img div.topicLabel > div.pos-Quantum > picture > img
div.topicLabel > div.pos-Ruliology > picture > img div.topicLabel > div.pos-Ruliology > picture > img
div.topicLabel > div.pos-Linguistics > picture > img div.topicLabel > div.pos-Linguistics > picture > img
div.topicLabel > div.pos-Logistics > picture > img div.topicLabel > div.pos-Logistics > picture > img
div.topicLabel > div.pos-Psychology > picture > img div.topicLabel > div.pos-Psychology > picture > img
div.topicLabel > div.pos-Robotics > picture > img div.topicLabel > div.pos-Robotics > picture > img
div.wrapper > h3 > span.white-space-nw > img.arrow div.wrapper > h3 > span.white-space-nw > img.arrow

Format your HTML in a way that enables crawlers to better understand your app’s content.

○Structured data is valid
●Page isn’t blocked from indexing
●Document has a `<title>` element
●Document has a meta description
●Page has successful HTTP status code
●Links have descriptive text
●robots.txt is valid
●Document has a valid `hreflang`
●Document has a valid `rel=canonical`

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