public string Encode(IEnumerable <TimedEvent> events)
        {
            var places = StepmaniaConstants.DecimalPlaces;

            return(string.Join(",",
                               events.Select(ev =>
            {
                var key = _numberFormatter.Format(ev.Offset * 4, places);
                var value = _numberFormatter.Format(BigRational.IsInfinity(ev.Value) ? (ev.Offset == 0 ? 99999 : -1) : ev.Value, places);
                return $"{key}={value}";
            })));
        }