    # File lib/phusion_passenger/analytics_logger.rb, line 104
                    def measured_time_points(name, begin_time, end_time, extra_info = nil)
                            if extra_info
                                    extra_info_base64 = [extra_info].pack("m")
                                    extra_info_base64.gsub!("\n", "")
                                    extra_info_base64.strip!
                            else
                                    extra_info_base64 = nil
                            end
                            begin_timestamp = begin_time.to_i * 1_000_000 + begin_time.usec
                            end_timestamp = end_time.to_i * 1_000_000 + end_time.usec
                            message "BEGIN: #{name} (#{begin_timestamp.to_s(36)}) #{extra_info_base64}"
                            message "END: #{name} (#{end_timestamp.to_s(36)})"
                    end