I was just editing along, and had the feeling that I needed sunglasses. :-)
Each time I type a character, the code flashes between syntax highlighted and fully analyzer highlighted:

I've tried uninstalling and re-installing both plugins, clearing cache and restarting, and removed my .dartServer directory and restarted.
I'm on the dev channel for the Flutter plugin. Not sure why doctor says I don't have the plugins installed, because I do, the Flutter plugin says it is at 46.0.3-dev.1, and the Dart plugin says it is at 201.6668.124.
[✓] Flutter (Channel fix_highlight_mode, v1.18.0-5.0.pre.72, on Mac OS X 10.15.4 19E287, locale en-US)
• Flutter version 1.18.0-5.0.pre.72 at /Users/gspencer/code/flutter
• Framework revision a18eb81069 (26 minutes ago), 2020-04-10 12:38:20 -0700
• Engine revision 9101b63f98
• Dart version 2.8.0 (build 2.8.0-dev.20.0 114752421d)
[✓] Android toolchain - develop for Android devices (Android SDK version 29.0.2)
• Android SDK at /Users/gspencer/Library/Android/sdk
• Platform android-29, build-tools 29.0.2
• ANDROID_HOME = /Users/gspencer/Library/Android/sdk
• Java binary at: /Applications/Android Studio.app/Contents/jre/jdk/Contents/Home/bin/java
• Java version OpenJDK Runtime Environment (build 1.8.0_202-release-1483-b49-5587405)
• All Android licenses accepted.
[✓] Xcode - develop for iOS and macOS (Xcode 11.3)
• Xcode at /Applications/Xcode.app/Contents/Developer
• Xcode 11.3, Build version 11C29
• CocoaPods version 1.9.1
[✓] Chrome - develop for the web
• Chrome at /Applications/Google Chrome.app/Contents/MacOS/Google Chrome
[✓] Android Studio (version 3.5)
• Android Studio at /Applications/Android Studio.app/Contents
• Flutter plugin version 38.2.3
• Dart plugin version 191.8423
• Java version OpenJDK Runtime Environment (build 1.8.0_202-release-1483-b49-5587405)
[!] IntelliJ IDEA Community Edition (version 2020.1)
• IntelliJ at /Applications/IntelliJ IDEA CE.app
✗ Flutter plugin not installed; this adds Flutter specific functionality.
✗ Dart plugin not installed; this adds Dart specific functionality.
• For information about installing plugins, see
https://flutter.dev/intellij-setup/#installing-the-plugins
[✓] Connected device (4 available)
• Android SDK built for x86 • emulator-5554 • android-x86 • Android 10 (API 29) (emulator)
• macOS • macOS • darwin-x64 • Mac OS X 10.15.4 19E287
• Chrome • chrome • web-javascript • Google Chrome 81.0.4044.92
• Web Server • web-server • web-javascript • Flutter Tools
! Doctor found issues in 1 category.
Yikes! You've got a lot of highlighting and it really illustrates the problem. I can reproduce it very simply. Create a Flutter app and open main.dart. Scroll down to where it creates the Scaffold. Start typing in a comment (plenty to choose from :) and watch the line title: Text(widget.title),. It flashes the most.
If I disable the Flutter plugin it still flashes, so this looks like something that the Dart plugin or IntelliJ is doing for us. @alexander-doroshko have you seen this?
I just switched to 2020.1, and didn't notice it before then, so perhaps that's it.
Thanks, reproduced. Thinking on a fix. Tracked as https://youtrack.jetbrains.com/issue/WEB-44896.
The issue has been fixed. Dart plugin update with the fix will be available within few days. Thanks for reporting!
The Dart plugin build with the fix has been published. It's compatible with IDE v 2020.1 and 2020.1.1 Preview. IDE will suggest to update it automatically, or click Help -> Check for Updates.
OMG. So. Much. Better.
Thanks @alexander-doroshko !
Most helpful comment
The issue has been fixed. Dart plugin update with the fix will be available within few days. Thanks for reporting!