Operators are very slow

[arnfaldur]

I'm using SignalOperators.jl in a jupyter notebook to experiment with music composition and noticed that it tends to be unusably slow. I suspect that the lazy evaluation is the culprit but am not sure.

play(signal) = sink(signal |> ToFramerate(44.1kHz) |> Amplify(-10dB), SampleBuf)
note(freq, dur, vol=-10dB) = Signal(sin, ω=freq) |> Until(dur) |> Ramp(dur/16)

sequence(freqs, dur::Number=(1/8)s) = Append([note(freq, dur) for freq in freqs]...)
melodify(root,ratios) = [root*ratio for ratio in ratios]

root = 220Hz
@time play(sequence(melodify(root, repeat([1, 3/2, 15/16, 1, 1, 3/2, 15/16, 255/256], 4)), 500ms))

which gives

29.265411 seconds (27.10 M allocations: 135.088 GiB, 25.30% gc time, 15.93% compilation time)

and a simple melody.

There is clearly a preposterous number of allocations happening behind this relatively simple sequence. When executing the command without playing it, it's evident that a huge signal path structure is built to execute it.

I would like to keep using this toolkit because the syntax is nice but need to make it faster for it to be usable. I might just be using it wrong or expecting too much of the wrong features, do you have any advice?

[haberdashPI]

First of all: Hi! I'm flattered you are considering SignalOperators.jl. I have also run into situations where SignalOperators is quite slow.

If you check out issue #63, you will see that I am thinking through an alternative implementation using LazyArrays.jl, which is an efficient library that already solves many of the problems this package has run into. It seems to occur when you compose certain operators, but I haven't figured out what minimal interactions are required for the issue to crop up. I think newer versions of Julia have also exacerbated the problem.

While that's my plan, I don't yet have the space in my life to dedicate to making those improvements in a timely fashion, because I haven't actively required its features for my recent work. You can see my progress towards a faster implementation on this branch. I have been chipping away at it here and there, but it has not been a priority.

Sorry I can't give you a more reassuring answer.

[arnfaldur]

I noticed that issue, feel free to close this one as #63 is already essentially tracking what I'm proposing, I was just wandering if I was doing something wrong.

As an example of the signal path I mentioned:

this command, in the context from above:

print(sequence(melodify(root, [1,2])))

prints this monstrosity

SignalOperators.AppendSignals{SignalOperators.MapSignal{SignalOperators.FnBr{typeof(*)}, 2, 1, Float64, Missing, Tuple{Float64}, Tuple{SignalOperators.MapSignal{SignalOperators.FnBr{typeof(*)}, 2, 1, Float64, Missing, Tuple{Float64}, Tuple{SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, SignalOperators.RampSignal{:on, SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, typeof(sinramp), Float64}}, typeof(one), Tuple{SignalOperators.PaddedSignal{SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, typeof(one), true}, SignalOperators.PaddedSignal{SignalOperators.RampSignal{:on, SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, typeof(sinramp), Float64}, typeof(one), true}}}, SignalOperators.RampSignal{:off, SignalOperators.MapSignal{SignalOperators.FnBr{typeof(*)}, 2, 1, Float64, Missing, Tuple{Float64}, Tuple{SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, SignalOperators.RampSignal{:on, SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, typeof(sinramp), Float64}}, typeof(one), Tuple{SignalOperators.PaddedSignal{SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, typeof(one), true}, SignalOperators.PaddedSignal{SignalOperators.RampSignal{:on, SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, typeof(sinramp), Float64}, typeof(one), true}}}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, typeof(sinramp), Float64}}, typeof(one), Tuple{SignalOperators.PaddedSignal{SignalOperators.MapSignal{SignalOperators.FnBr{typeof(*)}, 2, 1, Float64, Missing, Tuple{Float64}, Tuple{SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, SignalOperators.RampSignal{:on, SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, typeof(sinramp), Float64}}, typeof(one), Tuple{SignalOperators.PaddedSignal{SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, typeof(one), true}, SignalOperators.PaddedSignal{SignalOperators.RampSignal{:on, SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, typeof(sinramp), Float64}, typeof(one), true}}}, typeof(one), true}, SignalOperators.PaddedSignal{SignalOperators.RampSignal{:off, SignalOperators.MapSignal{SignalOperators.FnBr{typeof(*)}, 2, 1, Float64, Missing, Tuple{Float64}, Tuple{SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, SignalOperators.RampSignal{:on, SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, typeof(sinramp), Float64}}, typeof(one), Tuple{SignalOperators.PaddedSignal{SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, typeof(one), true}, SignalOperators.PaddedSignal{SignalOperators.RampSignal{:on, SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, typeof(sinramp), Float64}, typeof(one), true}}}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, typeof(sinramp), Float64}, typeof(one), true}}}, Tuple{SignalOperators.MapSignal{SignalOperators.FnBr{typeof(*)}, 2, 1, Float64, Missing, Tuple{Float64}, Tuple{SignalOperators.MapSignal{SignalOperators.FnBr{typeof(*)}, 2, 1, Float64, Missing, Tuple{Float64}, Tuple{SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, SignalOperators.RampSignal{:on, SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, typeof(sinramp), Float64}}, typeof(one), Tuple{SignalOperators.PaddedSignal{SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, typeof(one), true}, SignalOperators.PaddedSignal{SignalOperators.RampSignal{:on, SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, typeof(sinramp), Float64}, typeof(one), true}}}, SignalOperators.RampSignal{:off, SignalOperators.MapSignal{SignalOperators.FnBr{typeof(*)}, 2, 1, Float64, Missing, Tuple{Float64}, Tuple{SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, SignalOperators.RampSignal{:on, SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, typeof(sinramp), Float64}}, typeof(one), Tuple{SignalOperators.PaddedSignal{SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, typeof(one), true}, SignalOperators.PaddedSignal{SignalOperators.RampSignal{:on, SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, typeof(sinramp), Float64}, typeof(one), true}}}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, typeof(sinramp), Float64}}, typeof(one), Tuple{SignalOperators.PaddedSignal{SignalOperators.MapSignal{SignalOperators.FnBr{typeof(*)}, 2, 1, Float64, Missing, Tuple{Float64}, Tuple{SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, SignalOperators.RampSignal{:on, SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, typeof(sinramp), Float64}}, typeof(one), Tuple{SignalOperators.PaddedSignal{SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, typeof(one), true}, SignalOperators.PaddedSignal{SignalOperators.RampSignal{:on, SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, typeof(sinramp), Float64}, typeof(one), true}}}, typeof(one), true}, SignalOperators.PaddedSignal{SignalOperators.RampSignal{:off, SignalOperators.MapSignal{SignalOperators.FnBr{typeof(*)}, 2, 1, Float64, Missing, Tuple{Float64}, Tuple{SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, SignalOperators.RampSignal{:on, SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits

{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, typeof(sinramp), Float64}}, typeof(one), Tuple{SignalOperators.PaddedSignal{SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, typeof(one), true}, SignalOperators.PaddedSignal{SignalOperators.RampSignal{:on, SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, typeof(sinramp), Float64}, typeof(one), true}}}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, typeof(sinramp), Float64}, typeof(one), true}}}, SignalOperators.MapSignal{SignalOperators.FnBr{typeof(*)}, 2, 1, Float64, Missing, Tuple{Float64}, Tuple{SignalOperators.MapSignal{SignalOperators.FnBr{typeof(*)}, 2, 1, Float64, Missing, Tuple{Float64}, Tuple{SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, SignalOperators.RampSignal{:on, SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, typeof(sinramp), Float64}}, typeof(one), Tuple{SignalOperators.PaddedSignal{SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, typeof(one), true}, SignalOperators.PaddedSignal{SignalOperators.RampSignal{:on, 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Tuple{SignalOperators.PaddedSignal{SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, typeof(one), true}, SignalOperators.PaddedSignal{SignalOperators.RampSignal{:on, SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, typeof(sinramp), Float64}, typeof(one), true}}}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, typeof(sinramp), Float64}}, typeof(one), Tuple{SignalOperators.PaddedSignal{SignalOperators.MapSignal{SignalOperators.FnBr{typeof(*)}, 2, 1, Float64, Missing, Tuple{Float64}, Tuple{SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, 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typeof(one), true}, SignalOperators.PaddedSignal{SignalOperators.RampSignal{:off, SignalOperators.MapSignal{SignalOperators.FnBr{typeof(*)}, 2, 1, Float64, Missing, Tuple{Float64}, Tuple{SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, SignalOperators.RampSignal{:on, SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, typeof(sinramp), Float64}}, typeof(one), Tuple{SignalOperators.PaddedSignal{SignalOperators.CutApply{SignalOperators.SignalFunction{typeof(sin), Int64, Tuple{Float64}, Float64, Missing}, Quantity{Float64, 𝐓, Unitful.FreeUnits{(s,), 𝐓, nothing}}, Val{:Until}, Float64}, typeof(one), true}, 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I don't really know the internals well enough to be able to tell if this is to be expected but this structure seems rather large for what it's doing.

Good luck with the project.

[haberdashPI]

That does seem huge!! I don't see anything greatly amis though, I think that is a consequence of the lazy representation.

You don't have to keep everything lazy. It is possible, for your problem, that you can solve it by using sink in the right places, as the resulting value will still be operable as a signal, but will no longer be lazy. For example, the following modifications may help you.

play(signal) = sink(signal |> ToFramerate(44.1kHz) |> Amplify(-10dB), SampleBuf)
note(freq, dur, vol=-10dB) = Signal(sin, ω=freq) |> Until(dur) |> Ramp(dur/16) |> sink

sequence(freqs, dur::Number=(1/8)s) = Append([note(freq, dur) for freq in freqs]...) |> sink
melodify(root,ratios) = [root*ratio for ratio in ratios]

[arnfaldur]

Oh wow, that makes a lot of difference. Although the note can't be piped into a sink like that, I added ToFramerate to it and that works. Most of my tests take around 2 seconds now which is acceptable.

Are there any particular spots where adding a sink is inadvisable?

I noticed in particular that front loading a lot of the processing helped a lot.

note(freq, dur, vol=-10dB) = Signal(sin, ω=freq) |> ToFramerate(44.1kHz) |> 
    Until(dur) |> sink |> Amplify(vol) |> sink |> Ramp(dur/16) |> sink
play(signal) = sink(signal, SampleBuf)

These two replacement functions do exactly the same (for my needs) and take most times down to less than half a second. Totally usable. Let's see if I manage to create a complex enough composition to make it slow again.