To export the Process Run View to a JSON output file you can run the following HTTP call:
"http://<RAServerURL>:8080/datamanagement/a/jobs/<JOB_ID>/eventsLog?source=STEP&jobServerIds%5B%5D=<JOB_ID>&types%5B%5D=Passed&types%5B%5D=Failed&types%5B%5D=Canceled"
The above request will filter the actions outputs with status: passed, failed and canceled.
<JOB_ID> can be replace by a Built-In parameter.