CesASMe: another integration pass

manuscrit/50_CesASMe/00_intro.tex

@@ -40,13 +40,19 @@ assess more generally the landscape of code analyzers. What are the key
 bottlenecks to account for if one aims to predict the execution time of a
 kernel correctly? Are some of these badly accounted for by state-of-the-art
 code analyzers? This chapter, by conducting a broad experimental analysis of
-these tools, strives to answer to these questions.
+these tools, strives to answer these questions.
 
 \input{overview}
 
 \bigskip{}
 
-We present a fully-tooled solution to evaluate and compare the
+In \autoref{sec:redefine_exec_time}, we investigate how a kernel's execution time
+may be measured if we want to correctly account for its dependencies. We
+advocate for the measurement of the total execution time of a computation
+kernel in its original context, coupled with a precise measure of its number of
+iterations to normalize the measure.
+
+We then present a fully-tooled solution to evaluate and compare the
 diversity of static throughput predictors. Our tool, \cesasme, solves two main
 issues in this direction. In Section~\ref{sec:bench_gen}, we describe how
 \cesasme{} generates a wide variety of computation kernels stressing different
@@ -56,8 +62,6 @@ Polybench~\cite{bench:polybench}, a C-level benchmark suite representative of
 scientific computation workloads, that we combine with a variety of
 optimisations, including polyhedral loop transformations.
 
-In \autoref{sec:redefine_exec_time}, we \qtodo{blabla full cycles}.
-
 In Section~\ref{sec:bench_harness}, we describe how \cesasme{} is able to
 evaluate throughput predictors on this set of benchmarks by lifting their
 predictions to a total number of cycles that can be compared to a hardware
@@ -71,63 +75,3 @@ analyze the results of \cesasme{}.
 to investigate analyzers' flaws. We show that code
 analyzers do not always correctly model data dependencies through memory
 accesses, substantially impacting their precision.
-
-\section{Re-defining the execution time of a
-kernel}\label{sec:redefine_exec_time}
-
-We saw above that state-of-the-art code analyzers disagreed by up to 100\,\% on
-the execution time of a relatively simple kernel. The obvious solution to
-assess their predictions is to compare them to an actual measure. However,
-accounting for dependencies at the scale of a basic block makes this
-\emph{actual measure} not as trivially defined as it would seem. Take for
-instance the following kernel:
-
-\begin{minipage}{0.90\linewidth}
-\begin{lstlisting}[language={[x86masm]Assembler}]
-mov (%rax, %rcx, 1), %r10
-mov %r10, (%rbx, %rcx, 1)
-add $8, %rcx
-\end{lstlisting}
-\end{minipage}
-
-\noindent{}At first, it looks like an array copy from location \reg{rax} to
-\reg{rbx}. Yet, if before the loop, \reg{rbx} is initialized to
-\reg{rax}\texttt{+8}, there is a read-after-write dependency between the first
-instruction and the second instruction at the previous iteration; which makes
-the throughput drop significantly. As we shall see in
-Section~\ref{ssec:bhive_errors}, \emph{without proper context, a basic
-block's throughput is not well-defined}.
-
-To recover the context of each basic block, we reason instead at the scale of
-a C source code. This
-makes the measures unambiguous: one can use hardware counters to measure the
-elapsed cycles during a loop nest. This requires a suite of benchmarks, in C,
-that both is representative of the domain studied, and wide enough to have a
-good coverage of the domain. However, this is not in itself sufficient to
-evaluate static tools: on the preceding matrix multiplication kernel, counters
-report 80,059 elapsed cycles ---~for the total loop.
-This number compares hardly to \llvmmca{}, \iaca{}, \ithemal{}, and \uica{}
-basic block-level predictions seen above.
-
-A common practice to make these numbers comparable is to renormalize them to
-instructions per cycles (IPC). Here, \llvmmca{} reports an IPC of
-$\frac{7}{1.5}~=~4.67$, \iaca{} and \ithemal{} report an IPC of
-$\frac{7}{2}~=~3.5$, and \uica{} reports an IPC of $\frac{7}{3}~=~2.3$. In this
-case, the measured IPC is 3.45, which is closest to \iaca{} and \ithemal.  Yet,
-IPC is a metric for microarchitectural load, and \textit{tells nothing about a
-kernel's efficiency}.  Indeed, the static number of instructions is affected by
-many compiler passes, such as scalar evolution, strength reduction, register
-allocation, instruction selection\ldots{} Thus, when comparing two compiled
-versions of the same code, IPC alone does not necessarily point to the most
-efficient version.  For instance, a kernel using SIMD instructions will use
-fewer instructions than one using only scalars, and thus exhibit a lower or
-constant IPC; yet, its performance will unquestionably increase.
-
-The total cycles elapsed to solve a given problem, on the other
-hand, is a sound metric of the efficiency of an implementation. We thus
-instead \emph{lift} the predictions at basic-block level to a total number of
-cycles. In simple cases, this simply means multiplying the block-level
-prediction by the number of loop iterations; however, this bound might not
-generally be known. More importantly, the compiler may apply any number of
-transformations: unrolling, for instance, changes this number. Control flow may
-also be complicated by code versioning.

manuscrit/50_CesASMe/02_measuring_exec_time.tex

@@ -0,0 +1,64 @@
+\section{Re-defining the execution time of a
+kernel}\label{sec:redefine_exec_time}
+
+We saw above that state-of-the-art code analyzers disagreed by up to 100\,\% on
+the execution time of a relatively simple kernel. The obvious solution to
+assess their predictions is to compare them to an actual measure. However,
+accounting for dependencies at the scale of a basic block makes this
+\emph{actual measure} not as trivially defined as it would seem. Take for
+instance the following kernel:
+
+\begin{minipage}{0.90\linewidth}
+\begin{lstlisting}[language={[x86masm]Assembler}]
+mov (%rax, %rcx, 1), %r10
+mov %r10, (%rbx, %rcx, 1)
+add $8, %rcx
+\end{lstlisting}
+\end{minipage}
+
+\noindent{}At first, it looks like an array copy from location \reg{rax} to
+\reg{rbx}. Yet, if before the loop, \reg{rbx} is initialized to
+\reg{rax}\texttt{+8}, there is a read-after-write dependency between the first
+instruction and the second instruction at the previous iteration; which makes
+the throughput drop significantly. As we shall see in
+Section~\ref{ssec:bhive_errors}, \emph{without proper context, a basic
+block's throughput is not well-defined}.
+
+To recover the context of each basic block, we reason instead at the scale of
+a C source code. This
+makes the measures unambiguous: one can use hardware counters to measure the
+elapsed cycles during a loop nest. This requires a suite of benchmarks, in C,
+that both is representative of the domain studied, and wide enough to have a
+good coverage of the domain. However, this is not in itself sufficient to
+evaluate static tools: on the preceding matrix multiplication kernel, counters
+report 80,059 elapsed cycles ---~for the total loop.
+This number compares hardly to \llvmmca{}, \iaca{}, \ithemal{}, and \uica{}
+basic block-level predictions seen above.
+
+A common practice to make these numbers comparable is to renormalize them to
+instructions per cycles (IPC). Here, \llvmmca{} reports an IPC of
+$\sfrac{7}{1.5}~=~4.67$, \iaca{} and \ithemal{} report an IPC of
+$\sfrac{7}{2}~=~3.5$, and \uica{} reports an IPC of $\sfrac{7}{3}~=~2.3$. In this
+case, the measured IPC is 3.45, which is closest to \iaca{} and \ithemal.  Yet,
+IPC is a metric for microarchitectural load, and \textit{tells nothing about a
+kernel's efficiency}.  Indeed, the static number of instructions is affected by
+many compiler passes, such as scalar evolution, strength reduction, register
+allocation, instruction selection\ldots{} Thus, when comparing two compiled
+versions of the same code, IPC alone does not necessarily point to the most
+efficient version.  For instance, a kernel using SIMD instructions will use
+fewer instructions than one using only scalars, and thus exhibit a lower or
+constant IPC; yet, its performance will unquestionably increase.
+
+The total cycles elapsed to solve a given problem, on the other
+hand, is a sound metric of the efficiency of an implementation. We thus
+instead \emph{lift} the predictions at basic-block level to a total number of
+cycles. In simple cases, this simply means multiplying the block-level
+prediction by the number of loop iterations; however, this bound might not
+generally be known. More importantly, the compiler may apply any number of
+transformations: unrolling, for instance, changes this number. Control flow may
+also be complicated by code versioning.
+
+Instead of guessing this final number of iterations at the assembly level, a
+sounder alternative is to measure it on the final binary. In
+\autoref{sec:bench_harness}, we present our solution to do so, using \gdb{} to
+instrument an execution of the binary.

manuscrit/50_CesASMe/05_related_works.tex

@@ -1,20 +1,50 @@
 \section{Related works}
+
+\paragraph{Another comparative study: \anica{}.} The \anica{}
+framework~\cite{anica} also attempts to comparatively evaluate various throughput predictors by
+finding examples on which they are inaccurate. \anica{} starts with randomly
+generated assembly snippets fed to various code analyzers. Once it finds a
+snippet on which (some) code analyzers yield unsatisfying results, it refines
+it through a process derived from abstract interpretation to reach a
+more general category of input, \eg{} ``a load to a SIMD register followed by a
+SIMD arithmetic operation''.
+
+\paragraph{A dynamic code analyzer: \gus{}.}
+So far, this manuscript was mostly concerned with static code analyzers.
 Throughput prediction tools, however, are not all static.
-\gus~\cite{phd:gruber} dynamically predicts the throughput of a whole program
+\gus is a dynamic tool first introduced in \fgruber{}'s PhD
-region, instrumenting it to retrieve the exact events occurring through its
+thesis~\cite{phd:gruber}. It leverages \qemu{}'s instrumentation capabilities to
-execution. This way, \gus{} can more finely detect bottlenecks by
+dynamically predict the throughput of user-defined regions of interest in whole
-sensitivity analysis, at the cost of a significantly longer run time.
+program.
+In these regions, it instruments every instruction, memory access, \ldots{} in
+order to retrieve the exact events occurring through the program's
+execution. \gus{} then leverages throughput, latency and microarchitectural
+models to analyze resource usage and produce an accurate theoretical elapsed
+cycles prediction.
 
-\smallskip
+Its main strength, however, resides in its \emph{sensitivity analysis}
+capabilities: by applying an arbitrary factor to some parts of the model (\eg{}
+latencies, arithmetics port, \ldots{}), it is possible to investigate the
+impact of a specific resource on the final execution time of a region of
+interest. It can also accurately determine if a resource is actually a
+bottleneck for a region, \ie{} if increasing this resource's capabilities would
+reduce the execution time. The output of \gus{} on a region of interest
+provides a very detailed insight on each instruction's resource consumption and
+its contribution to the final execution time. As a dynamic analysis tool, it
+is also able to extract the dependencies an instruction exhibits on a real run.
 
-The \bhive{} profiler~\cite{bhive} takes another approach to basic block
+The main downside of \gus{}, however, is its slowness. As most dynamic tools,
-throughput measurement: by mapping memory at any address accessed by a basic
+it suffers from a heavy slowdown compared to a native execution of the binary,
-block, it can effectively run and measure arbitrary code without context, often
+oftentimes about $100\times$ slower. While it remains a precious tool to the
----~but not always, as we discuss later~--- yielding good results.
+user willing to deeply optimize an execution kernel, it makes \gus{} highly
+impractical to run on a large collection of execution kernels.
 
-\smallskip
+\paragraph{An isolated basic-block profiler: \bhive{}.} In
-
+\autoref{sec:redefine_exec_time} above, we advocated for measuring a basic
-The \anica{} framework~\cite{anica} also attempts to evaluate throughput
+block's execution time \emph{in-context}. The \bhive{} profiler~\cite{bhive},
-predictors by finding examples on which they are inaccurate. \anica{} starts
+initially written by \ithemal{}'s authors~\cite{ithemal} to provide their model
-with randomly generated assembly snippets, and refines them through a process
+with sufficient ---~and sufficiently accurate~--- training data, takes an
-derived from abstract interpretation to reach general categories of problems.
+orthogonal approach to basic block throughput measurement. By mapping memory at
+any address accessed by a basic block, it can effectively run and measure
+arbitrary code without context, often ---~but not always, as we discuss
+later~--- yielding good results.

manuscrit/50_CesASMe/15_harness.tex

@@ -25,7 +25,7 @@ jump site.
 
 To accurately obtain the occurrences of each basic block in the whole kernel's
 computation,
-we then instrument it with \texttt{gdb} by placing a break
+we then instrument it with \gdb{} by placing a break
 point at each basic block's first instruction in order to count the occurrences
 of each basic block between two calls to the \perf{} counters\footnote{We
 assume the program under analysis to be deterministic.}.  While this
@@ -60,7 +60,7 @@ markers prevent a binary from being run by overwriting registers with arbitrary
 values. This forces a user to run and measure a version which is different from
 the analyzed one. In our harness, we circumvent this issue by adding markers
 directly at the assembly level, editing the already compiled version.  Our
-\texttt{gdb} instrumentation procedure also respects this principle of
+\gdb{} instrumentation procedure also respects this principle of
 single-compilation. As \qemu{} breaks the \perf{} interface, we have to run
 \gus{} with a preloaded stub shared library to be able to instrument binaries
 containing calls to \perf.

manuscrit/50_CesASMe/20_evaluation.tex

@@ -11,9 +11,10 @@ predictions comparable to baseline hardware counter measures.
 \subsection{Experimental environment}
 
 The experiments presented in this paper were all realized on a Dell PowerEdge
-C6420 machine from the Grid5000 cluster~\cite{grid5000}, equipped with 192\,GB
+C6420 machine, from the \textit{Dahu} cluster of Grid5000 in
-of DDR4 SDRAM ---~only a small fraction of which was used~--- and two Intel
+Grenoble~\cite{grid5000}. The server is equipped with 192\,GB of DDR4 SDRAM
-Xeon Gold 6130 CPUs (x86-64, Skylake microarchitecture) with 16 cores each.
+---~only a small fraction of which was used~--- and two Intel Xeon Gold 6130
+CPUs (x86-64, Skylake microarchitecture) with 16 cores each.
 
 The experiments themselves were run inside a Docker environment based on Debian
 Bullseye. Care was taken to disable hyperthreading to improve measurements

manuscrit/50_CesASMe/25_results_analysis.tex

@@ -72,11 +72,11 @@ through hardware counters, an excellent accuracy is expected. Its lack of
 support for control flow instructions can be held accountable for a portion of
 this accuracy drop; our lifting method, based on block occurrences instead of
 paths, can explain another portion. We also find that \bhive{} fails to produce
-a result in about 40\,\% of the kernels explored ---~which means that, for those
+a result in about 40\,\% of the kernels explored ---~which means that, for
-cases, \bhive{} failed to produce a result on at least one of the constituent
+those cases, \bhive{} failed to produce a result on at least one of the
-basic blocks. In fact, this is due to the difficulties we mentioned in
+constituent basic blocks. In fact, this is due to the difficulties we mentioned
-\qtodo{[ref intro]} related to the need to reconstruct the context of each
+in \autoref{sec:redefine_exec_time} earlier, related to the need to reconstruct
-basic block \textit{ex nihilo}.
+the context of each basic block \textit{ex nihilo}.
 
 The basis of \bhive's method is to run the code to be measured, unrolled a
 number of times depending on the code size, with all memory pages but the
@@ -96,7 +96,7 @@ initial value can be of crucial importance.
 The following experiments are executed on an Intel(R) Xeon(R) Gold 6230R CPU
 (Cascade Lake), with hyperthreading disabled.
 
-\paragraph{Imprecise analysis} we consider the following x86-64 kernel.
+\paragraph{Imprecise analysis.} We consider the following x86-64 kernel.
 
 \begin{minipage}{0.95\linewidth}
 \begin{lstlisting}[language={[x86masm]Assembler}]
@@ -122,7 +122,7 @@ influence the results whenever it gets loaded into registers.
 
 \vspace{0.5em}
 
-\paragraph{Failed analysis} some memory accesses will always result in an
+\paragraph{Failed analysis.} Some memory accesses will always result in an
 error; for instance, it is impossible to \texttt{mmap} at an address lower
 than \texttt{/proc/sys/vm/mmap\_min\_addr}, defaulting to \texttt{0x10000}. Thus,
 with equal initial values for all registers, the following kernel would fail,

manuscrit/50_CesASMe/30_future_works.tex

@@ -47,7 +47,7 @@ These perspectives can also be seen as future works:
 
 \smallskip
 
-\paragraph{Program optimization} the whole program processing we have designed
+\paragraph{Program optimization.} The whole program processing we have designed
 can be used not only to evaluate the performance model underlying a static
 analyzer, but also to guide program optimization itself. In such a perspective,
 we would generate different versions of the same program using the
@@ -70,7 +70,7 @@ suffices; this however would require to control L1-residence otherwise.
 
 \smallskip
 
-\paragraph{Dataset building} our microbenchmarks generation phase outputs a
+\paragraph{Dataset building.} Our microbenchmarks generation phase outputs a
 large, diverse and representative dataset of microkernels. In addition to our
 harness, we believe that such a dataset could be used to improve existing
 data-dependant solutions.

manuscrit/50_CesASMe/main.tex

@@ -2,6 +2,7 @@
 analysis: \cesasme{}}
 
 \input{00_intro.tex}
+\input{02_measuring_exec_time.tex}
 \input{05_related_works.tex}
 \input{10_bench_gen.tex}
 \input{15_harness.tex}