/// Process any pending messages in the internal queue, calling wrapped actor's `handle()`.
    fn process_queue(&mut self, context: &mut <Self as Actor>::Context) -> Result<(), A::Error> {
        // Handle all messages that should have been handled by now.
        let now = Instant::now();
        while self.queue.peek().map(|m| m.fire_at <= now).unwrap_or(false) {
            let item = self.queue.pop().expect("heap is non-empty, we have just peeked");

            let message = match item.payload {
                Payload::Delayed { message } => message,
                Payload::Recurring { mut factory, interval } => {
                    let message = factory();
                    self.queue.push(QueueItem {
                        fire_at: item.fire_at + interval,
                        payload: Payload::Recurring { factory, interval },
                    });
                    message
                },
            };

            // Let inner actor do its job.
            //
            // Alternatively, we could send an `Instant` message to ourselves.
            // - The advantage would be that it would go into the queue with proper priority. But it
            //   is unclear what should be handled first: normal-priority message that should have
            //   been processed a while ago, or a high-priority message that was delivered now.
            // - Disadvantage is we could easily overflow the queue if many messages fire at once.
            self.inner.handle(&mut TimedContext::from_context(context), message)?;
        }

        Ok(())
    }