can jest output console log within test block output

As far as I know this is not easily possible, though a couple of places to look for more information (not out of the box):

Jest allows to use custom reporters: https://jestjs.io/docs/en/configuration.html#reporters-array-modulename-modulename-options , so you can write your own reporter and display output differently. At the moment though you don't get updates for separate tests, just test suits, here is an issue created by Dan Abramov: https://github.com/facebook/jest/issues/6616 .

From the github thread above - Reporter interface for now looks like:

export default class BaseReporter {
  onRunStart(results: AggregatedResult, options: ReporterOnStartOptions) {}

  // these are actually for the test suite, not individual test results
  onTestStart(test: Test) {}
  onTestResult(test: Test, testResult: TestResult, results: AggregatedResult) {}

  onRunComplete(contexts: Set<Context>, results: AggregatedResult ): ?Promise<void> {}
}

I didn't find a predefined way to pass parameters from test though into the testResult object. So you are mostly limited to logging information based on test names. Below is an example of testResult property inside testResult object:

testResults:
  [ { ancestorTitles: [Array],
       duration: 5,
       failureMessages: [],
       fullName: 'add should add two numbers',
       location: null,
       numPassingAsserts: 0,
       status: 'passed',
       title: 'should add two numbers' } ],

As you can see this is all the information standard reporter uses: test name, duration, status. For reference the default reporter is here: https://github.com/facebook/jest/blob/7b7fd01350/packages/jest-cli/src/reporters/default_reporter.js

Yes, you can have it logged. You may need to Add --verbose false to package.json "test";

Ex: "scripts": { "test": "jest --watch --verbose false" }

See the details here at github for jest bugs

I use this:

// package.json

...
    "scripts": {
        ...
        "test": "react-scripts test --verbose=true",
        ...
    }
...

In a console, it looks like...

Use the verbose Flag:

  "scripts": {
    "dev": "next dev",
    "build": "next build",
    "start": "next start",
    "lint": "next lint",
    "test-only": "bash test-only.sh",
    "test": "npm run test:unit && npm run test:integration",
    "test:watch": "jest --watch",
    "test:integration": "jest test/integration",
    "test:unit": "jest test/unit"
  },

test-only.sh:

filtered_test=$(grep -rnwl ./test -e "test.only\|it.only\|describe.only" --include \*.js | tr '\n' ' ')
jest --verbose --coverage --runInBand --detectOpenHandles $filtered_test