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SMT solving faster on iPhone XS than on i7 7700k

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Heya,

 

I currently do an internship in a group that does formal verification and one of my colleagues presented this blogpost to us: https://homes.cs.washington.edu/~bornholt/post/z3-iphone.html

 

Apparently, a researcher at University of Washington found out that running an SMT solver on an iPhone XS consistently is faster than running the same thing on a i7 7700k. Which I found to be very interesting. The researcher also gave an assumption for why that might be and said it might come down to the big L2 cache of the A12 processor built into the iPhone XS.

 

To give a bit of context for those who don't know what SMT solving is: Basically it's asking the computer whether a given (rather sophisticated) boolean expression that contains variables is satisfiable, i.e. whether there are assignments to those variables which make the whole boolean expression true. This problem is known to be NP-complete, i.e. very hard to solve.

 

If some of you folks could give me a bit of perspective on that one, that'd be neat.

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doesn't mean much to me, just like saying GTX 1060 is faster at number crunching than a 7700k. Their architecture is too different to be compared. A12 might be faster here, but I'm sure I don;t want it to run my PC games.

CPU: i7-2600K 4751MHz 1.44V (software) --> 1.47V at the back of the socket Motherboard: Asrock Z77 Extreme4 (BCLK: 103.3MHz) CPU Cooler: Noctua NH-D15 RAM: Adata XPG 2x8GB DDR3 (XMP: 2133MHz 10-11-11-30 CR2, custom: 2203MHz 10-11-10-26 CR1 tRFC:230 tREFI:14000) GPU: Asus GTX 1070 Dual (Super Jetstream vbios, +70(2025-2088MHz)/+400(8.8Gbps)) SSD: Samsung 840 Pro 256GB (main boot drive), Transcend SSD370 128GB PSU: Seasonic X-660 80+ Gold Case: Antec P110 Silent, 5 intakes 1 exhaust Monitor: AOC G2460PF 1080p 144Hz (150Hz max w/ DP, 121Hz max w/ HDMI) TN panel Keyboard: Logitech G610 Orion (Cherry MX Blue) with SteelSeries Apex M260 keycaps Mouse: BenQ Zowie FK1

 

Model: HP Omen 17 17-an110ca CPU: i7-8750H (0.125V core & cache, 50mV SA undervolt) GPU: GTX 1060 6GB Mobile (+80/+450, 1650MHz~1750MHz 0.78V~0.85V) RAM: 8+8GB DDR4-2400 18-17-17-39 2T Storage: HP EX920 1TB PCIe x4 M.2 SSD + Crucial MX500 1TB 2.5" SATA SSD, 128GB Toshiba PCIe x2 M.2 SSD (KBG30ZMV128G) gone cooking externally, 1TB Seagate 7200RPM 2.5" HDD (ST1000LM049-2GH172) left outside Monitor: 1080p 126Hz IPS G-sync

 

Desktop benching:

Cinebench R15 Single thread:168 Multi-thread: 833 

SuperPi (v1.5 from Techpowerup, PI value output) 16K: 0.100s 1M: 8.255s 32M: 7m 45.93s

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Is one written in Swift and the other C# or objective C?

ƆԀ S₱▓Ɇ▓cs: i7 6ʇɥפᴉƎ00K (4.4ghz), Asus DeLuxe X99A II, GT҉X҉1҉0҉8҉0 Zotac Amp ExTrꍟꎭe),Si6F4Gb D???????r PlatinUm, EVGA G2 Sǝʌǝᘉ5ᙣᙍᖇᓎᙎᗅᖶt, Phanteks Enthoo Primo, 3TB WD Black, 500gb 850 Evo, H100iGeeTeeX, Windows 10, K70 R̸̢̡̭͍͕̱̭̟̩̀̀̃́̃͒̈́̈́͑̑́̆͘͜ͅG̶̦̬͊́B̸͈̝̖͗̈́, G502, HyperX Cloud 2s, Asus MX34. פN∩SW∀S 960 EVO

Just keeping this here as a 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My assumption immediately would be that this shouldn't be the case for hopefully obvious reasons and thus that something is wrong.  My guess would be that the desktop code was very badly optimized and the ARM code was heavily optimized, but it could be any number of things.

 

If after thorough examination it actually turns out to be true and unavoidable (ie, impossible to make the 7700k faster when doing your best on both platforms), that would be truly stunning and very confusing.

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Just now, Jurrunio said:

doesn't mean much to me, just like saying GTX 1060 is faster at number crunching than a 7700k. Their architecture is too different to be compared. A12 might be faster here, but I'm sure I don;t want it to run my PC games.

Funny you say that. It runs GTA V san andreas, hearthstone, Minecraft, Fortnite, PUBG, and many other desktop games very well

ƆԀ S₱▓Ɇ▓cs: i7 6ʇɥפᴉƎ00K (4.4ghz), Asus DeLuxe X99A II, GT҉X҉1҉0҉8҉0 Zotac Amp ExTrꍟꎭe),Si6F4Gb D???????r PlatinUm, EVGA G2 Sǝʌǝᘉ5ᙣᙍᖇᓎᙎᗅᖶt, Phanteks Enthoo Primo, 3TB WD Black, 500gb 850 Evo, H100iGeeTeeX, Windows 10, K70 R̸̢̡̭͍͕̱̭̟̩̀̀̃́̃͒̈́̈́͑̑́̆͘͜ͅG̶̦̬͊́B̸͈̝̖͗̈́, G502, HyperX Cloud 2s, Asus MX34. פN∩SW∀S 960 EVO

Just keeping this here as a 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7 minutes ago, BuckGup said:

Funny you say that. It runs GTA V san andreas, hearthstone, Minecraft, Fortnite, PUBG, and many other desktop games very well

Most of those games were designed (or redesigned) to run on potato hardware in the first place.

 

EDIT: In the article OP linked, the author says the following:

Quote

Obviously we shouldn’t draw too many conclusions from this one silly benchmark

The thing I don't see here is what is Z3 specifically testing and what sorts of things that would hit on a processor. While Wikipedia says it does this:

 

Quote

empty theory, linear arithmetic, nonlinear arithmetic, bitvectors, arrays, datatypes, quantifiers, strings

 

This really doesn't mean anything to me as far as what sorts of execution units it'd hit. If the iOS version somehow is able to tickle every resource available while the x86 version can only hit some of the resources, then that's not really a useful test to draw any strong conclusions.

Edited by M.Yurizaki
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Actually the answer is there as to why the A12 scores higher than the i7-7700K

Quote

I spent some time poking around using VTune to see where the bottlenecks were when running Z3 on the desktop. As Mate Soos observes, most SAT solving time is spent in propagation, which is very cache-sensitive. VTune agrees, and says that Z3 spends a lot of time waiting on memory while iterating through watched literals. So the key to performance here seems to be cache size and memory latency. This effect might explain why the iPhone is so strong on this benchmark—the A12 chip has a gigantic, low latency L2 cache, and also seems to have better memory latency after a cache miss compared to the 7700K.

So it's not that the A12 has higher execution unit performance. It's just that the i7-7700K was starved for data.

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2 hours ago, M.Yurizaki said:

Actually the answer is there as to why the A12 scores higher than the i7-7700K

So it's not that the A12 has higher execution unit performance. It's just that the i7-7700K was starved for data.

You're absolutely right. For me, this article never, ever, ever could show that the A12 is "better" (whatever that might mean in general) than the i7 7700k. But I found it astonishing that in this specific instance, it actually is. Although it's left to say how well this scales, i.e. what happens when you throw much more complicated z3 runs at each of the processors.

 

What I thought about than is how good you can generalize that. And I didn't just want to blindly guess that. But if there are applications, where the A12 performs really well against the i7 7700k - how close does the A12 get on other workloads?

3 hours ago, Jurrunio said:

doesn't mean much to me, just like saying GTX 1060 is faster at number crunching than a 7700k. Their architecture is too different to be compared. A12 might be faster here, but I'm sure I don;t want it to run my PC games.

And as a sidenote: Although I get what you're going for and you're somewhat right your comparison is a bit to rough. I mean, we are talking about two architectures that both can run Windows or any other operating system. Surely, they are built for different use cases, but they're not as far as GPUs and CPUs.

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