From e1e0e18c925ab88f662ece261fe19c16b76e672a Mon Sep 17 00:00:00 2001 From: Changkun Ou Date: Wed, 30 Sep 2020 19:21:11 +0200 Subject: [PATCH] article: add bench-time --- README.md | 9 + assets/bench-time-pprof1.png | Bin 0 -> 121135 bytes assets/bench-time-pprof2.png | Bin 0 -> 137712 bytes assets/bench-time.graffle | Bin 0 -> 38056 bytes assets/bench-time.png | Bin 0 -> 13726 bytes bench-time.md | 362 +++++++++++++++++++++++++++++++++++ 6 files changed, 371 insertions(+) create mode 100644 assets/bench-time-pprof1.png create mode 100644 assets/bench-time-pprof2.png create mode 100644 assets/bench-time.graffle create mode 100644 assets/bench-time.png create mode 100644 bench-time.md diff --git a/README.md b/README.md index 0ce512d..5640b5a 100644 --- a/README.md +++ b/README.md @@ -1,2 +1,11 @@ # research + (Possibly) Naïve thoughts regarding Go. + +## Table of Content + +- [Changkun Ou. Eliminating A Source of Measurement Errors in Benchmarks. Sep 30, 2020.](./bench-time.md) + +## License + +Copyright © 2020 The [golang.design](https://golang.design) Authors. diff --git a/assets/bench-time-pprof1.png b/assets/bench-time-pprof1.png new file mode 100644 index 0000000000000000000000000000000000000000..4e1a153341af6000a1949c53a04b86eab3b39362 GIT binary patch literal 121135 zcmeFZWmJ@H*ft6XiXsA1DlH|gq%=xNNp}lFcS@Itbb~ZX*MKxbi_#rKmvkfDeD}=Y zQ}2)c{n&f0_s4dv!QqZ8&peLvB2ezFIOe@4_mGf~FeToIC?Fx-sscXy=(m9@7DeYS zNJ#e@)R6Kzp+G(cuKvF6$WoDF-of8@wL33iMhnXFucNH>yCB( z+50?vf#jKP66Bf5M_m5~i<-3iPAB*Gvjp_n7$vY`+azP&e>3__nGnh#6&SIB=3Y7F zRY}fg_L0p$GT2Bh@gc!W^9AZrDZ?*&7pG4J`^Kvq_9lihz4BGt z5q>lBkjz-B`F%1YP{xU4=VtpchcE6Whlo|5>|yjqR)YRs#pCw*WNo6Svn_^ih1&1m zvYxx;8xer~)Em;pBehCv)y_eFKnRa$Uzc zuLsr4$G6i`pJsRpqy#?@FCDk1&?S#hI(On_w8XH&i*?zO(-3G$kj+#R0~Mh_rJfouXejy2x-t8wGh?3>2}1Odrc2YFk*ae zr9V{iGnhj)LCI<6wz;cyOFR7zAF78Qb{%TQ9RH&La`Zcq6!e)7)`UJra2wuwLBZ92 z=brEDFOQy)O8SaK+}F5e>3c8zY3_X<^bsLJ;hc2)e*9b_2-cx+OFz*nTZpg3b4;jj 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zn7^9UhpwzAJySDvsJ{|^934&$o^BUmISlD8I73jO3UTI3q1Jj#*YR?&n!x@wz9z!(E78+3 zr_fHsL4KslhpQdQCoZ!#co(M?%QshHD@_TA47xQ_!sNj;BS2bc^O>NZ0grkQ(!{68 zpYW*7_ttUc=vMGdEf~4CsEWzTqonAp)LUZ6PD|@gYM+~bDv?>S`x_ZXU?*kC-P7hO z_+aDbm?EbW{LHe`C*8^cd*frUA%64jMr4yi5G-lKMMsLv8yLUAZ!u7S9qAPx=xG!t znk@*8){jP9sJa%$InE<2qy0PpvpSO4TJp8s?$Tl~7>#r)9?EYD)Wr^}c!{J(W?Y)QX3!qi#%0-ooA6@As9TWrTK<#iDH~_Tp9HQcdc2{H)_sP)D zt<|_q)3Z6~Q3ok{(0K$%^s)K&%Q~9#jtN@jB;ul(4Sh~X-q2dO(MI} zNt5^PYa7q|DqShaX#`pSgSL(|_9%Ld_7oOV;+ zZyYA5fKQbwZ%w}_ + +## Initial Investigation Using `go tool pprof` + +As a standard procedure, let's benchmark the code that interrupts the timer and analysis the result using `go tool pprof`: + +```go +func BenchmarkWithTimer(b *testing.B) { + var v int32 + for i := 0; i < b.N; i++ { + b.StopTimer() + b.StartTimer() + for j := 0; j < *k; j++ { + atomic.AddInt32(&v, 1) + } + } +} +``` + +``` +go test -v -run=none -bench=WithTimer -benchtime=100000x -count=5 -cpuprofile cpu.pprof +``` + +Sadly, the graph shows a chunk of useless information where most of the costs shows as `runtime.ReadMemStats`: + +![pprof](./assets/bench-time-pprof1.png) + +This is because of the `StopTimer/StartTimer` implementation in the testing package calls `runtime.ReadMemStats`: + +```go +package testing + +(...) + +func (b *B) StartTimer() { + if !b.timerOn { + runtime.ReadMemStats(&memStats) // <- here + b.startAllocs = memStats.Mallocs + b.startBytes = memStats.TotalAlloc + b.start = time.Now() + b.timerOn = true + } +} + +func (b *B) StopTimer() { + if b.timerOn { + b.duration += time.Since(b.start) + runtime.ReadMemStats(&memStats) // <- here + b.netAllocs += memStats.Mallocs - b.startAllocs + b.netBytes += memStats.TotalAlloc - b.startBytes + b.timerOn = false + } +} +``` + +As we know that `runtime.ReadMemStats` stops the world, and each call to it is very time-consuming. This is an known issue [#20875](https://golang.org/issue/20875) regarding `runtime.ReadMemStats` in benchmarking. + +Since we do not care about memory allocation at the moment, to avoid this issue, let's just hacking the source code by just comment out the call to `runtime.ReadMemStats`: + +```go +package testing + +(...) + +func (b *B) StartTimer() { + if !b.timerOn { + // runtime.ReadMemStats(&memStats) // <- here + b.startAllocs = memStats.Mallocs + b.startBytes = memStats.TotalAlloc + b.start = time.Now() + b.timerOn = true + } +} + +func (b *B) StopTimer() { + if b.timerOn { + b.duration += time.Since(b.start) + // runtime.ReadMemStats(&memStats) // <- here + b.netAllocs += memStats.Mallocs - b.startAllocs + b.netBytes += memStats.TotalAlloc - b.startBytes + b.timerOn = false + } +} +``` + +And re-run the test again, then we have: + +![pprof](./assets/bench-time-pprof2.png) + +Have you noticed where the problem is? Yes, there is a heavy cost in calling `time.Now()` in a tight loop (not really surprising because it is a system call). + +## Further Verification Using C++ + +As you can see, the Go's pprof facility has its own problem while doing a benchmark, +one can only edit the source code of Go to verify the source of the measurement error. +Can we do something better than that? + +Let's just write the initial benchmark in C++. This time, we go straightforward to the issue of `now()`: + +```cpp +#include +#include + +void empty() {} + +int main() { + int n = 1000000; + for (int j = 0; j < 10; j++) { + std::chrono::nanoseconds since(0); + for (int i = 0; i < n; i++) { + auto start = std::chrono::steady_clock::now(); + empty(); + since += std::chrono::steady_clock::now() - start; + } + std::cout << "avg since: " << since.count() / n << "ns \n"; + } +} +``` + +compile it with: + +``` +clang++ -std=c++17 -O3 -pedantic -Wall main.cpp +``` + +In this code snippet, we are trying to measure the performance of an empty function. +So, ideally, the output should be `0ns`. However, there is still a cost in calling +the empty function: + +``` +avg since: 17ns +avg since: 16ns +avg since: 16ns +avg since: 16ns +avg since: 16ns +avg since: 16ns +avg since: 16ns +avg since: 16ns +avg since: 16ns +avg since: 16ns +``` + +Furthermore, we could just simplify the code to the subtraction of two `now()` calls: + +```cpp +#include +#include + +int main() { + int n = 1000000; + for (int j = 0; j < 10; j++) { + std::chrono::nanoseconds since(0); + for (int i = 0; i < n; i++) { + since -= std::chrono::steady_clock::now() - std::chrono::steady_clock::now(); + } + std::cout << "avg since: " << since.count() / n << "ns \n"; + } +} +``` + +and you could see that the output remains end in the cost of `avg since: 16ns`. +**This proves that there is an overhead of calling `now()` for benchmarking.** +Thus, in terms of benchmarking, the actual measured time of a target code equals +to the execution time of target code plus the overhead of calling `now()`: + +

+ +

+ +Assume the target code consumes in `T` ns, and the overhead of `now()` is `t` ns. +Now, let's run the target code `N` times. +The total measured time is `T*N+t`, then the average of a single iteration +of the target code is `T+t/N`. Thus, the systematic measurement error becomes: `t/N`. +Therefore with a higher `N`, you can get rid of the systematic error. + +## The Solution + +So, back to the original question, how can I get address the measurement error? +A quick and dirty solution is just subtract the overhead of calling `now()`: + +```cpp +#include +#include + +void target() {} + +int main() { + int n = 1000000; + for (int j = 0; j < 10; j++) { + std::chrono::nanoseconds since(0); + for (int i = 0; i < n; i++) { + auto start = std::chrono::steady_clock::now(); + target(); + since += std::chrono::steady_clock::now() - start; + } + + auto overhead = -(std::chrono::steady_clock::now() - + std::chrono::steady_clock::now()); + since -= overhead * n; + + std::cout << "avg since: " << since.count() / n << "ns \n"; + } +} +``` + +And in Go, you could do: + +```go +var v int32 +atomic.StoreInt32(&v, 0) +r := testing.Benchmark(func(b *testing.B) { + for i := 0; i < b.N; i++ { + b.StopTimer() + // ... do extra stuff ... + b.StartTimer() + atomic.AddInt32(&v, 1) + } +}) + +// do calibration that removes the overhead of calling time.Now(). +calibrate := func(d time.Duration, n int) time.Duration { + since := time.Duration(0) + for i := 0; i < n; i++ { + start := time.Now() + since += time.Since(start) + } + return (d - since) / time.Duration(n) +} + +fmt.Printf("%v ns/op\n", calibrate(r.T, r.N)) +``` + +As a take-away message, if you would like to write a micro-benchmark (whose runs in nanoseconds), and you have to interrupt the timer to clean up and reset some resources for some reason, then you must do a calibration on the measurement. If the Go's benchmark facility plans to fix #41641, then it is great; but if they don't, at least you are aware of this issue and know how to fix it now. + +## Further Reading Suggestions + +- Changkun Ou. Conduct Reliable Benchmarking in Go. March 26, 2020. https://golang.design/s/gobench +- Changkun Ou. testing: inconsistent benchmark measurements when interrupts timer. Sep 26, 2020. https://golang.org/issue/41641 +- Josh Bleecher Snyder. testing: consider calling ReadMemStats less during benchmarking. Jul 1, 2017. https://golang.org/issue/20875 +- Beyer, D., Löwe, S. & Wendler, P. Reliable benchmarking: requirements and solutions. Int J Softw Tools Technol Transfer 21, 1–29 (2019). https://doi.org/10.1007/s10009-017-0469-y + +## License + +Copyright © 2020 The [golang.design](https://golang.design) Authors.