
**Apache Airflow version**: 2.1.2

**Apache Airflow Provider versions** (please include all providers that are relevant to your bug): 2.0

apache-airflow-providers-apache-hive==2.0.0
apache-airflow-providers-celery==2.0.0
apache-airflow-providers-cncf-kubernetes==1.2.0
apache-airflow-providers-docker==2.0.0
apache-airflow-providers-elasticsearch==1.0.4
apache-airflow-providers-ftp==2.0.0
apache-airflow-providers-imap==2.0.0
apache-airflow-providers-jdbc==2.0.0
apache-airflow-providers-microsoft-mssql==2.0.0
apache-airflow-providers-mysql==2.0.0
apache-airflow-providers-oracle==2.0.0
apache-airflow-providers-postgres==2.0.0
apache-airflow-providers-sqlite==2.0.0
apache-airflow-providers-ssh==2.0.0

**Kubernetes version (if you are using kubernetes)** (use `kubectl version`): 1.17

**Environment**:

- **Install tools**: https://github.com/prometheus/statsd_exporter

**What happened**:

We are using an [statsd_exporter](https://github.com/prometheus/statsd_exporter) to store statsd metrics in prometheus. And we came across strange behavior, the metric dag_processing.last_duration. <dag_file> for different dags is drawn with holes at random intervals.

![image](https://user-images.githubusercontent.com/3032319/128734876-800ab58e-50d5-4c81-af4a-79c8660c2f0a.png)

![image](https://user-images.githubusercontent.com/3032319/128734946-27381da5-40cc-4c83-9bcc-60d8264d26a3.png)

![image](https://user-images.githubusercontent.com/3032319/128735019-a523e58c-5751-466d-abb7-1888fa79b9e1.png)


**What you expected to happen**:

Metrics should be sent with the frequency specified in the config in the AIRFLOV__SHEDULER__PRINT_STATS_INTERVAL parameter and the default value is 30, and this happens in the[ _log_file_processing_stats method](https://github.com/apache/airflow/blob/2fea4cdceaa12b3ac13f24eeb383af624aacb2e7/airflow/dag_processing/manager.py#L696), the problem is that the initial time is taken using the [get_start_time](https://github.com/apache/airflow/blob/2fea4cdceaa12b3ac13f24eeb383af624aacb2e7/airflow/dag_processing/manager.py#L827) function which looks only at the probability of active processes that some of the dags will have time to be processed in 30 seconds and removed from self._processors [file_path] and thus the metrics for them will not be sent to the statsd. While for outputting to the log,  [lasttime](https://github.com/apache/airflow/blob/2fea4cdceaa12b3ac13f24eeb383af624aacb2e7/airflow/dag_processing/manager.py#L783) is used in which information on the last processing is stored and from which it would be nice to send metrics to the statistics.



airflow/dag_processing/manager.py
"""Creates DagFileProcessorProcess instance."""
        return DagFileProcessorProcess(
            file_path=file_path, pickle_dags=pickle_dags, dag_ids=dag_ids, callback_requests=callback_requests
        )
    def start_new_processes(self):
        """Start more processors if we have enough slots and files to process"""
        while self._parallelism - len(self._processors) > 0 and self._file_path_queue:
            file_path = self._file_path_queue.pop(0)
            
            if file_path in self._processors.keys():
                continue
            callback_to_execute_for_file = self._callback_to_execute[file_path]
            processor = self._create_process(
                file_path, self._pickle_dags, self._dag_ids, callback_to_execute_for_file
            )
            del self._callback_to_execute[file_path]
            Stats.incr('dag_processing.processes')
            processor.start()
            self.log.debug("Started a process (PID: %s) to generate tasks for %s", processor.pid, file_path)
            self._processors[file_path] = processor
            self.waitables[processor.waitable_handle] = processor
    def prepare_file_path_queue(self):
        """Generate more file paths to process. Result are saved in _file_path_queue."""
        self._parsing_start_time = time.perf_counter()
        
        
        file_paths_in_progress = self._processors.keys()