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@JeremyRubin
Created September 18, 2016 20:58
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Better SigCache Performance
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{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':10, 'n':622592, 'hit':0.210526, 'insert':906681, 'lookup':32337}
{'simulating':'11CuckooCacheI7uint256N14sigcache_tests13uint256HasherEE', 'load':1.9, 'mb':11, 'n':684851, 'hit':0.523879, 'insert':349638, 'lookup':49516}
{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':11, 'n':684851, 'hit':0.215311, 'insert':958472, 'lookup':40269}
{'simulating':'11CuckooCacheI7uint256N14sigcache_tests13uint256HasherEE', 'load':1.9, 'mb':12, 'n':747110, 'hit':0.523897, 'insert':371908, 'lookup':55818}
{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':12, 'n':747110, 'hit':0.219298, 'insert':985506, 'lookup':47585}
{'simulating':'11CuckooCacheI7uint256N14sigcache_tests13uint256HasherEE', 'load':1.9, 'mb':13, 'n':809369, 'hit':0.523845, 'insert':420045, 'lookup':62561}
{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':13, 'n':809369, 'hit':0.222672, 'insert':998221, 'lookup':64732}
{'simulating':'11CuckooCacheI7uint256N14sigcache_tests13uint256HasherEE', 'load':1.9, 'mb':14, 'n':871628, 'hit':0.523871, 'insert':454448, 'lookup':68819}
{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':14, 'n':871628, 'hit':0.225564, 'insert':1082029, 'lookup':69164}
{'simulating':'11CuckooCacheI7uint256N14sigcache_tests13uint256HasherEE', 'load':1.9, 'mb':15, 'n':933888, 'hit':0.523873, 'insert':473822, 'lookup':74420}
{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':15, 'n':933888, 'hit':0.22807, 'insert':1132730, 'lookup':79681}
{'simulating':'11CuckooCacheI7uint256N14sigcache_tests13uint256HasherEE', 'load':1.9, 'mb':16, 'n':996147, 'hit':0.523888, 'insert':522298, 'lookup':80683}
{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':16, 'n':996147, 'hit':0.230263, 'insert':1162151, 'lookup':89566}
{'simulating':'11CuckooCacheI7uint256N14sigcache_tests13uint256HasherEE', 'load':1.9, 'mb':17, 'n':1058406, 'hit':0.52386, 'insert':576981, 'lookup':86405}
{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':17, 'n':1058406, 'hit':0.232198, 'insert':1181705, 'lookup':92743}
{'simulating':'11CuckooCacheI7uint256N14sigcache_tests13uint256HasherEE', 'load':1.9, 'mb':18, 'n':1120665, 'hit':0.523869, 'insert':597175, 'lookup':93600}
{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':18, 'n':1120665, 'hit':0.233918, 'insert':1226968, 'lookup':122181}
{'simulating':'11CuckooCacheI7uint256N14sigcache_tests13uint256HasherEE', 'load':1.9, 'mb':19, 'n':1182924, 'hit':0.523863, 'insert':642657, 'lookup':99169}
{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':19, 'n':1182924, 'hit':0.207756, 'insert':2013949, 'lookup':82952}
{'simulating':'11CuckooCacheI7uint256N14sigcache_tests13uint256HasherEE', 'load':1.9, 'mb':20, 'n':1245184, 'hit':0.523859, 'insert':683486, 'lookup':107340}
{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':20, 'n':1245184, 'hit':0.210526, 'insert':2024684, 'lookup':99662}
{'simulating':'11CuckooCacheI7uint256N14sigcache_tests13uint256HasherEE', 'load':1.9, 'mb':21, 'n':1307443, 'hit':0.523891, 'insert':719725, 'lookup':112720}
{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':21, 'n':1307443, 'hit':0.213033, 'insert':2040104, 'lookup':106198}
{'simulating':'11CuckooCacheI7uint256N14sigcache_tests13uint256HasherEE', 'load':1.9, 'mb':22, 'n':1369702, 'hit':0.523886, 'insert':758710, 'lookup':135028}
{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':22, 'n':1369702, 'hit':0.215311, 'insert':2061466, 'lookup':107456}
{'simulating':'11CuckooCacheI7uint256N14sigcache_tests13uint256HasherEE', 'load':1.9, 'mb':23, 'n':1431961, 'hit':0.523886, 'insert':793360, 'lookup':142921}
{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':23, 'n':1431961, 'hit':0.217391, 'insert':2105250, 'lookup':117759}
{'simulating':'11CuckooCacheI7uint256N14sigcache_tests13uint256HasherEE', 'load':1.9, 'mb':24, 'n':1494220, 'hit':0.523895, 'insert':836878, 'lookup':134069}
{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':24, 'n':1494220, 'hit':0.219298, 'insert':2132815, 'lookup':125070}
{'simulating':'11CuckooCacheI7uint256N14sigcache_tests13uint256HasherEE', 'load':1.9, 'mb':25, 'n':1556480, 'hit':0.523878, 'insert':873837, 'lookup':139069}
{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':25, 'n':1556480, 'hit':0.221053, 'insert':2180572, 'lookup':133757}
{'simulating':'11CuckooCacheI7uint256N14sigcache_tests13uint256HasherEE', 'load':1.9, 'mb':26, 'n':1618739, 'hit':0.523889, 'insert':905284, 'lookup':144050}
{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':26, 'n':1618739, 'hit':0.222672, 'insert':2227201, 'lookup':139304}
{'simulating':'11CuckooCacheI7uint256N14sigcache_tests13uint256HasherEE', 'load':1.9, 'mb':27, 'n':1680998, 'hit':0.523866, 'insert':933158, 'lookup':152247}
{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':27, 'n':1680998, 'hit':0.224172, 'insert':2257815, 'lookup':152375}
{'simulating':'11CuckooCacheI7uint256N14sigcache_tests13uint256HasherEE', 'load':1.9, 'mb':28, 'n':1743257, 'hit':0.523868, 'insert':973456, 'lookup':159095}
{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':28, 'n':1743257, 'hit':0.225564, 'insert':2306139, 'lookup':163538}
{'simulating':'11CuckooCacheI7uint256N14sigcache_tests13uint256HasherEE', 'load':1.9, 'mb':29, 'n':1805516, 'hit':0.523857, 'insert':1017342, 'lookup':165523}
{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':29, 'n':1805516, 'hit':0.22686, 'insert':2356923, 'lookup':174148}
{'simulating':'11CuckooCacheI7uint256N14sigcache_tests13uint256HasherEE', 'load':1.9, 'mb':30, 'n':1867776, 'hit':0.523894, 'insert':1054389, 'lookup':182077}
{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':30, 'n':1867776, 'hit':0.22807, 'insert':2398059, 'lookup':187618}
{'simulating':'11CuckooCacheI7uint256N14sigcache_tests13uint256HasherEE', 'load':1.9, 'mb':31, 'n':1930035, 'hit':0.523887, 'insert':1087832, 'lookup':193966}
{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':31, 'n':1930035, 'hit':0.229202, 'insert':2440273, 'lookup':198146}
{'simulating':'11CuckooCacheI7uint256N14sigcache_tests13uint256HasherEE', 'load':1.9, 'mb':32, 'n':1992294, 'hit':0.523861, 'insert':1121556, 'lookup':189131}
{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':32, 'n':1992294, 'hit':0.230263, 'insert':2504077, 'lookup':227817}
{'simulating':'11CuckooCacheI7uint256N14sigcache_tests13uint256HasherEE', 'load':1.9, 'mb':33, 'n':2054553, 'hit':0.523876, 'insert':1177575, 'lookup':202850}
{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':33, 'n':2054553, 'hit':0.23126, 'insert':2558677, 'lookup':222712}
{'simulating':'11CuckooCacheI7uint256N14sigcache_tests13uint256HasherEE', 'load':1.9, 'mb':34, 'n':2116812, 'hit':0.523901, 'insert':1206622, 'lookup':198205}
{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':34, 'n':2116812, 'hit':0.232198, 'insert':2614454, 'lookup':252000}
{'simulating':'11CuckooCacheI7uint256N14sigcache_tests13uint256HasherEE', 'load':1.9, 'mb':35, 'n':2179072, 'hit':0.523889, 'insert':1243832, 'lookup':198228}
{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':35, 'n':2179072, 'hit':0.233083, 'insert':2658825, 'lookup':258192}
{'simulating':'11CuckooCacheI7uint256N14sigcache_tests13uint256HasherEE', 'load':1.9, 'mb':36, 'n':2241331, 'hit':0.523874, 'insert':1286298, 'lookup':202268}
{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':36, 'n':2241331, 'hit':0.233918, 'insert':2694227, 'lookup':277709}
{'simulating':'11CuckooCacheI7uint256N14sigcache_tests13uint256HasherEE', 'load':1.9, 'mb':37, 'n':2303590, 'hit':0.523879, 'insert':1319594, 'lookup':224568}
{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':37, 'n':2303590, 'hit':0.206259, 'insert':4043499, 'lookup':195584}
{'simulating':'11CuckooCacheI7uint256N14sigcache_tests13uint256HasherEE', 'load':1.9, 'mb':38, 'n':2365849, 'hit':0.523871, 'insert':1396328, 'lookup':226010}
{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':38, 'n':2365849, 'hit':0.207756, 'insert':4089067, 'lookup':194769}
{'simulating':'11CuckooCacheI7uint256N14sigcache_tests13uint256HasherEE', 'load':1.9, 'mb':39, 'n':2428108, 'hit':0.523882, 'insert':1436696, 'lookup':232393}
{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':39, 'n':2428108, 'hit':0.209177, 'insert':4126391, 'lookup':209564}
{'simulating':'11CuckooCacheI7uint256N14sigcache_tests13uint256HasherEE', 'load':1.9, 'mb':40, 'n':2490368, 'hit':0.523862, 'insert':1465873, 'lookup':234613}
{'simulating':'N14sigcache_tests12_GLOBAL__N_115CSignatureCacheE', 'load':1.9, 'mb':40, 'n':2490368, 'hit':0.210526, 'insert':4138752, 'lookup':205268}
// Copyright (c) 2016 Jeremy Rubin
// Distributed under the MIT software license, see the accompanying
// file COPYING or http://www.opensource.org/licenses/mit-license.php.
#include <boost/test/unit_test.hpp>
#include "cuckoocache.h"
#include "test/test_bitcoin.h"
#include "random.h"
#include <boost/unordered_set.hpp>
BOOST_AUTO_TEST_SUITE(sigcache_tests);
namespace {
class CSignatureCacheHasher
{
public:
size_t operator()(const uint256& key) const {
return key.GetCheapHash();
}
};
/**
* Valid signature cache, to avoid doing expensive ECDSA signature checking
* twice for every transaction (once when accepted into memory pool, and
* again when accepted into the block chain)
*/
class CSignatureCache
{
private:
//! Entries are SHA256(nonce || signature hash || public key || signature):
typedef boost::unordered_set<uint256, CSignatureCacheHasher> map_type;
map_type setValid;
size_t set_size;
public:
bool contains(const uint256& entry)
{
return setValid.find(entry) != setValid.end();
}
void Erase(const uint256& entry)
{
setValid.erase(entry);
}
void resize_bytes(size_t s_) {
set_size = s_;
}
void insert(const uint256& entry)
{
if (set_size <= 0) return;
while (memusage::DynamicUsage(setValid) > set_size)
{
map_type::size_type s = GetRand(setValid.bucket_count());
map_type::local_iterator it = setValid.begin(s);
if (it != setValid.end(s)) {
setValid.erase(*it);
}
}
setValid.insert(entry);
}
};
}
class uint256Hasher
{
public:
uint32_t operator()(const uint256& key, uint8_t n) const {
uint32_t u;
std::memcpy(&u, key.begin()+(sizeof(uint32_t)*n), sizeof(uint32_t));
return u;
}
};
template <typename Cache>
double test_cache(size_t megabytes, double load) {
seed_insecure_rand(true);
std::vector<uint256> hashes;
Cache set;
auto bytes = megabytes * (1<<20);
set.resize_bytes(bytes);
uint32_t n_insert = static_cast<uint32_t> (load * (bytes/sizeof(uint256)));
hashes.resize(n_insert);
for (uint32_t i = 0; i < n_insert; ++i) {
uint32_t* ptr = (uint32_t*) hashes[i].begin();
for (auto j = 0; j < 8; ++j)
*(ptr++) = insecure_rand();
}
auto t0 = GetTimeMicros();
std::vector<uint256> hashes_insert_copy = hashes;
for (uint256& h : hashes_insert_copy)
set.insert(h);
auto insert_time = GetTimeMicros() -t0;
uint32_t count = 0;
auto t1 = GetTimeMicros();
for (uint256& h : hashes)
count += set.contains(h);
auto lookup_time = GetTimeMicros() - t1;
auto hit_rate = ((double) count)/((double) n_insert);
BOOST_MESSAGE("{'simulating':'" << typeid(Cache).name() << "', 'load':" << load
<<", 'mb':"<< megabytes <<", 'n':"<< n_insert <<", 'hit':" <<
hit_rate << ", 'insert':" << insert_time << ", 'lookup':" <<
lookup_time << "}");
return hit_rate;
}
BOOST_AUTO_TEST_CASE(sigcache_hit_rate) {
for (auto load = 0.1; load <= 2; load += 0.1) {
for (auto mb = 1; mb <= 40; mb += 1) {
auto cuckoo = test_cache<CuckooCache<uint256, uint256Hasher>>(mb, load);
auto boost = test_cache<CSignatureCache>(mb, load);
// Check that cuckoo always beats boost, or cuckoo is within 5% of
// perfect cache (after 1.0 load, we have to account for the fact
// that the memory limit kicks in)
BOOST_CHECK(cuckoo > boost || (load > 1.0 ? cuckoo > 0.95 * (1.0/load) : cuckoo > 0.95));
}
}
}
BOOST_AUTO_TEST_SUITE_END();
# Copyright 2016 Jeremy Rubin
# Distributed under the MIT software license, see the accompanying
# file COPYING or http://www.opensource.org/licenses/mit-license.php.
from mpl_toolkits.mplot3d import axes3d
import matplotlib.pyplot as plt
from matplotlib import cm
import ast
class Show:
def __init__(self):
main_fig = plt.figure()
self.ax = main_fig.gca(projection='3d')
def fn(self, X, Y, Z, label, c, marker):
self.ax.scatter(X, Y, Z, label = label, c = c, alpha = 0.8, marker=marker)
def finish(self, nick):
self.ax.set_xlabel('Load')
self.ax.set_ylabel('MegaBytes')
self.ax.set_zlabel(nick)
def main(cat, nick, norm=None):
keys = set([])
data = []
with open('cachesimout', 'r') as f:
for line in f:
try:
data.append(ast.literal_eval(line))
except:
pass
for d in data:
keys.add(d['simulating'])
def rm(d):
del d['simulating']
experiment = {key: filter(lambda d: d['simulating'] == key, data) for key in keys}
for d in experiment.values():
for i in d:
del i['simulating']
colors = ['r', 'g']
marker = ['^', 'x']
p = Show()
for (k, d) in experiment.iteritems():
x = []
y = []
z = []
for el in d:
x.append(el['load'])
y.append(el['mb'])
if norm:
z.append(norm(x[-1], y[-1], el[cat]))
else:
z.append(el[cat])
print k
p.fn(x,y,z,k, colors.pop(), marker.pop())
p.finish(nick)
if __name__ == "__main__":
main("hit", "Normalized Hit Rate",lambda load, mb, c: max(1, load)*c)
main("insert", "Insert Time (us/per)", lambda a,b,c : c/float(b*(1<<20)/32))
main("lookup", "Lookup Time (us/per)", lambda a,b,c: c/float(b*(1<<20)/32))
plt.show()
@JeremyRubin
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JeremyRubin commented Sep 18, 2016

The above shows the benchmarking and data from a new cache I have implemented. Below, I discuss the results.

The new cache can be found at https://github.com/JeremyRubin/bitcoin/blob/cuckoocache/src/cuckoocache.h

This analysis doesn't cover the other key benefit of this cache, which is that reads and erases do not require a lock, just memory synchronization before the next insert (release/acquire semantics). In all the diagrams, green x is the prior cache, red ^ is my new one.

Hit Rate

Hit rate is much-much better. The "glitch" around load=1 is due to the normalization method. We normalize against perfect performance, for example, getting 50% at load 2 is a hit rate of one because we have done as good as possible with the memory available. Therefore, when load is simulated at 1, the performance will decrease because 8% of the inserted elements get dropped. However, as load goes past one, the missing 8% are measured against the maximum capacity, not the size stored so it's slightly better. Also, as more elements are inserted into the cache, it will asymptotically approach every slot being full so it will eventually be "perfect" in this benchmark with high enough load.

hit_rate

Insert Time

Insert time is much better (and more uniform). This does not account for the lock free ness of the new code. In fact, there is a slight
penalty paid for in the new code for the relaxed atomic operations that are not in the prior implementation.
insert_time

Lookup Time

The new design is marginally faster at lookups. Lookups are already fast though, so it's a bit pointless. I'm not positive why it isn't more flat in my implementation. I can think of two potential reasons:

Probability of Failure

At load 2, the probability of failure is 1/2. If we let t = a single hash lookup time, then total time = 1/2_(4t) + 1/2(1/4_(1+2+3+4)t) = 3.25 t
At load 1, the probability of failure is 0.08, and succeed 0.92, so total time = 0.08_(4t) + 0.92_(1/4*(1+2+3+4)t) = 2.62 t

This roughly matches the measured slowdown from load=1 to load=2.

This can't really be helped too much unfortunately.

Cache Effects

Cache effects could potentially be ameliorated by allowing for 8 locations per entry, where 4 of them is hash(x) | 1 and the other is hash(x) & ~1. (increasing the chance that a neighbor on the cache line has our entry). However, at this speed it is almost not worth bothering!

The other cache effect is that a 1 or 2 mb cache fits all in the L2 cache, whereas a larger cache (beyond say, 4 mb) has to evict something from L2 much more frequently. such that performance degrades. This can be observed as the S curve on the megabytes/lookup axis.

One potential fix would be to smartly prefetch during the lookup operation, but that introduces more platform dependent behavior.

Another fix would be to split each Hash into a tag (say, 16 bit) and main (256-16 bit) section. The hash table would then do lookups in the 16 bit section first and then, only on match, consult the 256-16 section. This 16-bit section would fit much more nicely into L2.

lookup_time

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