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Deoptimizing a program for the pipeline in Intel Sandybridge-family CPUs
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Problem
I've been racking my brain for a week trying to complete this assignment and I'm hoping someone here can lead me toward the right path. Let me start with the instructor's instructions:
Your assignment is the opposite of our first lab assignment, which was to optimize a prime number program. Your purpose in this assignment is to pessimize the program, i.e. make it run slower. Both of these are CPU-intensive programs. They take a few seconds to run on our lab PCs. You may not change the algorithm.
To deoptimize the program, use your knowledge of how the Intel i7 pipeline operates. Imagine ways to re-order instruction paths to introduce WAR, RAW, and other hazards. Think of ways to minimize the effectiveness of the cache. Be diabolically incompetent.
The assignment gave a choice of Whetstone or Monte-Carlo programs. The cache-effectiveness comments are mostly only applicable to Whetstone, but I chose the Monte-Carlo simulation program:
```
// Un-modified baseline for pessimization, as given in the assignment
#include // Needed for the "max" function
#include
#include
// A simple implementation of the Box-Muller algorithm, used to generate
// gaussian random numbers - necessary for the Monte Carlo method below
// Note that C++11 actually provides std::normal_distribution<> in
// the library, which can be used instead of this function
double gaussian_box_muller() {
double x = 0.0;
double y = 0.0;
double euclid_sq = 0.0;
// Continue generating two uniform random variables
// until the square of their "euclidean distance"
// is less than unity
do {
x = 2.0 * rand() / static_cast(RAND_MAX)-1;
y = 2.0 * rand() / static_cast(RAND_MAX)-1;
euclid_sq = xx + yy;
} while (euclid_sq >= 1.0);
return xsqrt(-2log(euclid_sq)/euclid_sq);
}
// Pricing a European vanilla call option with a Monte Carlo method
double monte_carlo_call_price(const int& num_sims, const double& S, const double& K, const double& r, const double& v, const double
Your assignment is the opposite of our first lab assignment, which was to optimize a prime number program. Your purpose in this assignment is to pessimize the program, i.e. make it run slower. Both of these are CPU-intensive programs. They take a few seconds to run on our lab PCs. You may not change the algorithm.
To deoptimize the program, use your knowledge of how the Intel i7 pipeline operates. Imagine ways to re-order instruction paths to introduce WAR, RAW, and other hazards. Think of ways to minimize the effectiveness of the cache. Be diabolically incompetent.
The assignment gave a choice of Whetstone or Monte-Carlo programs. The cache-effectiveness comments are mostly only applicable to Whetstone, but I chose the Monte-Carlo simulation program:
```
// Un-modified baseline for pessimization, as given in the assignment
#include // Needed for the "max" function
#include
#include
// A simple implementation of the Box-Muller algorithm, used to generate
// gaussian random numbers - necessary for the Monte Carlo method below
// Note that C++11 actually provides std::normal_distribution<> in
// the library, which can be used instead of this function
double gaussian_box_muller() {
double x = 0.0;
double y = 0.0;
double euclid_sq = 0.0;
// Continue generating two uniform random variables
// until the square of their "euclidean distance"
// is less than unity
do {
x = 2.0 * rand() / static_cast(RAND_MAX)-1;
y = 2.0 * rand() / static_cast(RAND_MAX)-1;
euclid_sq = xx + yy;
} while (euclid_sq >= 1.0);
return xsqrt(-2log(euclid_sq)/euclid_sq);
}
// Pricing a European vanilla call option with a Monte Carlo method
double monte_carlo_call_price(const int& num_sims, const double& S, const double& K, const double& r, const double& v, const double
Solution
Important background reading: Agner Fog's microarch pdf, and probably also Ulrich Drepper's What Every Programmer Should Know About Memory. See also the other links in the x86 tag wiki, especially Intel's optimization manuals, and David Kanter's analysis of the Haswell microarchitecture, with diagrams.
Very cool assignment; much better than the ones I've seen where students were asked to optimize some code for
Problems with the assignment wording and code:
The uarch-specific options for this code are limited. It doesn't use any arrays, and much of the cost is calls to
It would be hard to get a slowdown just from re-arranging the expressions to change the dependencies, to reduce ILP from hazards.
Intel Sandybridge-family CPUs are aggressive out-of-order designs that spend lots of transistors and power to find parallelism and avoid hazards (dependencies) that would trouble a classic RISC in-order pipeline. Usually the only traditional hazards that slow it down are RAW "true" dependencies that cause throughput to be limited by latency.
WAR and WAW hazards for registers are pretty much not an issue, thanks to register renaming. (except for
For memory ordering, modern CPUs use a store buffer to delay commit into cache until retirement, also avoiding WAR and WAW hazards. See also this answer about what a store buffer is, and being essential essential for OoO exec to decouple execution from things other cores can see.
Why does mulss take only 3 cycles on Haswell, different from Agner's instruction tables? (Unrolling FP loops with multiple accumulators) has more about register renaming and hiding FMA latency in an FP dot product loop.
The "i7" brand-name was introduced with Nehalem (successor to Core2), and some Intel manuals even say Core i7 when they seem to mean Nehalem, but they kept the "i7" branding for Sandybridge and later microarchitectures. SnB is when the P6-family evolved into a new species, the SnB-family. In many ways, Nehalem has more in common with Pentium III than with Sandybridge (e.g. register read stalls aka ROB-read stalls don't happen on SnB, because it changed to using a physical register file. Also a uop cache and a different internal uop format). The term "i7 architecture" is not useful, because it makes little sense to group the SnB-family with Nehalem but not Core2. (Nehalem did introduce the shared inclusive L3 cache architecture for connecting multiple cores together, though. And also integrated GPUs. So chip-level, the naming makes more sense.)
Summary of the good ideas that diabolical incompetence can justify
Even the diabolically incompetent are unlikely to add obviously useless work or an infinite loop, and making a mess with C++/Boost classes is beyond the scope of the assignment.
Also covered in this answer but excluded from the summary: suggestions that would be just as slow on a non-pipelined CPU, or that don't seem to be justifiable even with diabolical incompetence. e.g. many gimp-the-compiler ideas that produce obviously different / worse asm.
Multi-thread badly
Maybe use OpenMP to multi-thread loops with very few iterations, with way more overhead than
Very cool assignment; much better than the ones I've seen where students were asked to optimize some code for
gcc -O0, learning a bunch of tricks that don't matter in real code. In this case, you're being asked to learn about the CPU pipeline and use that to guide your de-optimization efforts, not just blind guessing. The most fun part of this one is justifying each pessimization with "diabolical incompetence", not intentional malice.Problems with the assignment wording and code:
The uarch-specific options for this code are limited. It doesn't use any arrays, and much of the cost is calls to
exp/log library functions. There isn't an obvious way to have more or less instruction-level parallelism, and the loop-carried dependency chain is very short.It would be hard to get a slowdown just from re-arranging the expressions to change the dependencies, to reduce ILP from hazards.
Intel Sandybridge-family CPUs are aggressive out-of-order designs that spend lots of transistors and power to find parallelism and avoid hazards (dependencies) that would trouble a classic RISC in-order pipeline. Usually the only traditional hazards that slow it down are RAW "true" dependencies that cause throughput to be limited by latency.
WAR and WAW hazards for registers are pretty much not an issue, thanks to register renaming. (except for
popcnt/lzcnt/tzcnt, which have a false dependency their destination on Intel CPUs, even though it should be write-only).For memory ordering, modern CPUs use a store buffer to delay commit into cache until retirement, also avoiding WAR and WAW hazards. See also this answer about what a store buffer is, and being essential essential for OoO exec to decouple execution from things other cores can see.
Why does mulss take only 3 cycles on Haswell, different from Agner's instruction tables? (Unrolling FP loops with multiple accumulators) has more about register renaming and hiding FMA latency in an FP dot product loop.
The "i7" brand-name was introduced with Nehalem (successor to Core2), and some Intel manuals even say Core i7 when they seem to mean Nehalem, but they kept the "i7" branding for Sandybridge and later microarchitectures. SnB is when the P6-family evolved into a new species, the SnB-family. In many ways, Nehalem has more in common with Pentium III than with Sandybridge (e.g. register read stalls aka ROB-read stalls don't happen on SnB, because it changed to using a physical register file. Also a uop cache and a different internal uop format). The term "i7 architecture" is not useful, because it makes little sense to group the SnB-family with Nehalem but not Core2. (Nehalem did introduce the shared inclusive L3 cache architecture for connecting multiple cores together, though. And also integrated GPUs. So chip-level, the naming makes more sense.)
Summary of the good ideas that diabolical incompetence can justify
Even the diabolically incompetent are unlikely to add obviously useless work or an infinite loop, and making a mess with C++/Boost classes is beyond the scope of the assignment.
- Multi-thread with a single shared
std::atomicloop counter, so the right total number of iterations happen. Atomic uint64_t is especially bad with-m32 -march=i586. For bonus points, arrange for it to be misaligned, and crossing a page boundary with an uneven split (not 4:4).
- False sharing for some other non-atomic variable -> memory-order mis-speculation pipeline clears, as well as extra cache misses.
- Instead of using
-on FP variables, XOR the high byte with 0x80 to flip the sign bit, causing store-forwarding stalls.
- Time each iteration independently, with something even heavier than
RDTSC. e.g.CPUID/RDTSCor a time function that makes a system call. Serializing instructions are inherently pipeline-unfriendly.
- Change multiplies by constants to divides by their reciprocal ("for ease of reading"). div is slow and not fully pipelined.
- Vectorize the multiply/sqrt with AVX (SIMD), but fail to use
vzeroupperbefore calls to scalar math-libraryexp()andlog()functions, causing AVXSSE transition stalls.
- Store the RNG output in a linked list, or in arrays which you traverse out of order. Same for the result of each iteration, and sum at the end.
Also covered in this answer but excluded from the summary: suggestions that would be just as slow on a non-pipelined CPU, or that don't seem to be justifiable even with diabolical incompetence. e.g. many gimp-the-compiler ideas that produce obviously different / worse asm.
Multi-thread badly
Maybe use OpenMP to multi-thread loops with very few iterations, with way more overhead than
Code Snippets
for (int i=0 ; i<512; i++)
for (int j=i ; j<UPPER_BOUND ; j+=512)
monte_carlo_step(rng_array[j]);Context
Stack Overflow Q#37361145, score: 434
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