246   ErrorCode base_error = utils::GetBaseErrorCode(error);  in UpdateFailed()
248             << " (" << utils::ErrorCodeToString(base_error) << ")";  in UpdateFailed()
412               << utils::ToString(backoff_expiry_time_)  in ShouldBackoffDownload()
418             << utils::ToString(backoff_expiry_time_);  in ShouldBackoffDownload()
507   int fuzz_minutes = utils::FuzzInt(0, kMaxBackoffFuzzMinutes);  in UpdateBackoffExpiryTime()
511             << utils::FormatTimeDelta(next_backoff_interval);  in UpdateBackoffExpiryTime()
532             << utils::ToString(current_download_source_);  in UpdateCurrentDownloadSource()
939                << utils::ToString(stored_time)  in LoadBackoffExpiryTime()
950             << utils::ToString(backoff_expiry_time_);  in SetBackoffExpiryTime()
988                << utils::ToString(stored_time)  in LoadUpdateTimestampStart()
990                << utils::FormatTimeDelta(duration_according_to_stored_time)  in LoadUpdateTimestampStart()
1004             << utils::ToString(update_timestamp_start_);  in SetUpdateTimestampStart()
1010             << utils::ToString(update_timestamp_end_);  in SetUpdateTimestampEnd()
1039                << utils::FormatTimeDelta(stored_delta)  in LoadUpdateDurationUptime()
1041                << utils::FormatTimeDelta(diff)  in LoadUpdateDurationUptime()
1079               << utils::FormatTimeDelta(update_duration_uptime_);  in SetUpdateDurationUptimeExtended()
1097   return prefix + "-from-" + utils::ToString(source);  in GetPrefsKey()
1120                     << utils::ToString(source) << " = "  in SetCurrentBytesDownloaded()
1145                     << utils::ToString(source) << " = "  in SetTotalBytesDownloaded()
1203   LOG(INFO) << "Uploading " << utils::FormatTimeDelta(time_to_reboot)  in BootedIntoUpdate()
1226                      << utils::ToString(system_updated_at);  in UpdateEngineStarted()
1342             << utils::ToString(p2p_first_attempt_timestamp_);  in SetP2PFirstAttemptTimestamp()
1383                 << utils::FormatTimeDelta(time_spent_attempting_p2p)  in P2PAttemptAllowed()
1385                 << utils::FormatTimeDelta(TimeDelta::FromSeconds(  in P2PAttemptAllowed()