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Message-Id: <1380288468-5551-1-git-send-email-mgorman@suse.de>
Date: Fri, 27 Sep 2013 14:26:45 +0100
From: Mel Gorman <mgorman@...e.de>
To: Peter Zijlstra <a.p.zijlstra@...llo.nl>,
Rik van Riel <riel@...hat.com>
Cc: Srikar Dronamraju <srikar@...ux.vnet.ibm.com>,
Ingo Molnar <mingo@...nel.org>,
Andrea Arcangeli <aarcange@...hat.com>,
Johannes Weiner <hannes@...xchg.org>,
Linux-MM <linux-mm@...ck.org>,
LKML <linux-kernel@...r.kernel.org>, Mel Gorman <mgorman@...e.de>
Subject: [PATCH 0/63] Basic scheduler support for automatic NUMA balancing V8
Weighing in at 63 patches makes the term "basic" in the series title is
a misnomer.
This series still has roughly the same goals as previous versions. It
reduces overhead of automatic balancing through scan rate reduction
and the avoidance of TLB flushes. It selects a preferred node and moves
tasks towards their memory as well as moving memory toward their task. It
handles shared pages and groups related tasks together. Some problems such
as shared page interleaving and properly dealing with processes that are
larger than a node are being deferred.
It is still based on 3.11 because that's what I was testing against. If
we can agree this should be merged to -tip for testing I'll rebase to deal
with any scheduler conflicts but for now I do not want to invalidate other
peoples testing. The only obvious thing that is missing is hotplug handling.
Peter is currently working on reducing [get|put]_online_cpus overhead so
that it can be added to migrate_swap.
Peter, some of your patches are missing signed-offs-by -- 4-5, 43 and 55.
Changelog since V7
o THP migration race and pagetable insertion fixes
o Do no handle PMDs in batch
o Shared page migration throttling
o Various changes to how last nid/pid information is recorded
o False pid match sanity checks when joining NUMA task groups
o Adapt scan rate based on local/remote fault statistics
o Period retry of migration to preferred node
o Limit scope of system-wide search
o Schedule threads on the same node as process that created them
o Cleanup numa_group on exec
Changelog since V6
o Group tasks that share pages together
o More scan avoidance of VMAs mapping pages that are not likely to migrate
o cpunid conversion, system-wide searching of tasks to balance with
Changelog since V6
o Various TLB flush optimisations
o Comment updates
o Sanitise task_numa_fault callsites for consistent semantics
o Revert some of the scanning adaption stuff
o Revert patch that defers scanning until task schedules on another node
o Start delayed scanning properly
o Avoid the same task always performing the PTE scan
o Continue PTE scanning even if migration is rate limited
Changelog since V5
o Add __GFP_NOWARN for numa hinting fault count
o Use is_huge_zero_page
o Favour moving tasks towards nodes with higher faults
o Optionally resist moving tasks towards nodes with lower faults
o Scan shared THP pages
Changelog since V4
o Added code that avoids overloading preferred nodes
o Swap tasks if nodes are overloaded and the swap does not impair locality
Changelog since V3
o Correct detection of unset last nid/pid information
o Dropped nr_preferred_running and replaced it with Peter's load balancing
o Pass in correct node information for THP hinting faults
o Pressure tasks sharing a THP page to move towards same node
o Do not set pmd_numa if false sharing is detected
Changelog since V2
o Reshuffle to match Peter's implied preference for layout
o Reshuffle to move private/shared split towards end of series to make it
easier to evaluate the impact
o Use PID information to identify private accesses
o Set the floor for PTE scanning based on virtual address space scan rates
instead of time
o Some locking improvements
o Do not preempt pinned tasks unless they are kernel threads
Changelog since V1
o Scan pages with elevated map count (shared pages)
o Scale scan rates based on the vsz of the process so the sampling of the
task is independant of its size
o Favour moving towards nodes with more faults even if it's not the
preferred node
o Laughably basic accounting of a compute overloaded node when selecting
the preferred node.
o Applied review comments
This series integrates basic scheduler support for automatic NUMA balancing.
It was initially based on Peter Ziljstra's work in "sched, numa, mm:
Add adaptive NUMA affinity support" but deviates too much to preserve
Signed-off-bys. As before, if the relevant authors are ok with it I'll
add Signed-off-bys (or add them yourselves if you pick the patches up).
There has been a tonne of additional work from both Peter and Rik van Riel.
Some reports indicate that the performance is getting close to manual
bindings for some workloads but your mileage will vary. As before, the
intention is not to complete the work but to incrementally improve mainline
and preserve bisectability for any bug reports that crop up.
Patch 1 is a monolithic dump of patches thare are destined for upstream that
this series indirectly depends upon.
Patches 2-3 adds sysctl documentation and comment fixlets
Patch 4 avoids accounting for a hinting fault if another thread handled the
fault in parallel
Patches 5-6 avoid races with parallel THP migration and THP splits.
Patch 7 corrects a THP NUMA hint fault accounting bug
Patches 8-9 avoids TLB flushes during the PTE scan if no updates are made
Patch 10 sanitizes task_numa_fault callsites to have consist semantics and
always record the fault based on the correct location of the page.
Patch 11 closes races between THP migration and PMD clearing.
Patch 12 avoids trying to migrate the THP zero page
Patch 13 avoids the same task being selected to perform the PTE scan within
a shared address space.
Patch 14 continues PTE scanning even if migration rate limited
Patch 15 notes that delaying the PTE scan until a task is scheduled on an
alternative node misses the case where the task is only accessing
shared memory on a partially loaded machine and reverts a patch.
Patch 16 initialises numa_next_scan properly so that PTE scanning is delayed
when a process starts.
Patch 17 sets the scan rate proportional to the size of the task being
scanned.
Patch 18 slows the scan rate if no hinting faults were trapped by an idle task.
Patch 19 tracks NUMA hinting faults per-task and per-node
Patches 20-24 selects a preferred node at the end of a PTE scan based on what
node incurred the highest number of NUMA faults. When the balancer
is comparing two CPU it will prefer to locate tasks on their
preferred node. When initially selected the task is rescheduled on
the preferred node if it is not running on that node already. This
avoids waiting for the scheduler to move the task slowly.
Patch 25 adds infrastructure to allow separate tracking of shared/private
pages but treats all faults as if they are private accesses. Laying
it out this way reduces churn later in the series when private
fault detection is introduced
Patch 26 avoids some unnecessary allocation
Patch 27-28 kicks away some training wheels and scans shared pages and
small VMAs.
Patch 29 introduces private fault detection based on the PID of the faulting
process and accounts for shared/private accesses differently.
Patch 30 avoids migrating memory immediately after the load balancer moves
a task to another node in case it's a transient migration.
Patch 31 avoids scanning VMAs that do not migrate-on-fault which addresses
a serious regression on a database performance test.
Patch 32 pick the least loaded CPU based on a preferred node based on
a scheduling domain common to both the source and destination
NUMA node.
Patch 33 retries task migration if an earlier attempt failed
Patch 34 will begin task migration immediately if running on its preferred
node
Patch 35 will avoid trapping hinting faults for shared read-only library
pages as these never migrate anyway
Patch 36 avoids handling pmd hinting faults if none of the ptes below it were
marked pte numa
Patches 37-38 introduce a mechanism for swapping tasks
Patch 39 uses a system-wide search to find tasks that can be swapped
to improve the overall locality of the system.
Patch 40 notes that the system-wide search may ignore the preferred node and
will use the preferred node placement if it has spare compute
capacity.
Patch 41 will perform a global search if a node that should have had capacity
cannot have a task migrated to it
Patches 42-43 use cpupid to track pages so potential sharing tasks can
be quickly found
Patch 44 reports the ID of the numa group a task belongs.
Patch 45 copies the cpupid on page migration
Patch 46 avoids grouping based on read-only pages
Patch 47 stops handling pages within a PMD in batch as it distorts fault
statistics and failed to flush TLBs correctly.
Patch 48 schedules new threads on the same node as the parent.
Patch 49 schedules tasks based on their numa group
Patch 50 cleans up tasks numa_group on exec
Patch 51 avoids parallel updates to group stats
Patch 52 adds some debugging aids
Patches 53-54 separately considers task and group weights when selecting the node to
schedule a task on
Patch 56 checks if PID truncation may have caused false matches before joining tasks
to a NUMA grou
Patch 57 uses the false shared detection information for scan rate adaption later
Patch 58 adapts the scan rate based on local/remote faults
Patch 59 removes the period scan rate reset
Patch 60-61 throttles shared page migrations
Patch 62 avoids the use of atomics protects the values with a spinlock
Patch 63 periodically retries migrating a task back to its preferred node
Kernel 3.11 is the testing baseline.
o account-v8 Patches 1-8
o falsedetect-v8 Patches 1-57
o skipshared-v8 Patches 1-61
o noatomics-v8 Patches 1-62
o periodretry-v8 PAtches 1-63
This is SpecJBB running on a 4-socket machine with THP enabled and one JVM
running for the whole system.
specjbb
3.11.0 3.11.0 3.11.0 3.11.0 3.11.0
account-v8r20 falsedetect-v8r33 skipshared-v8r33 noatomics-v8r33 periodretry-v8r33
TPut 1 26137.00 ( 0.00%) 26879.00 ( 2.84%) 26296.00 ( 0.61%) 26563.00 ( 1.63%) 26043.00 ( -0.36%)
TPut 2 56027.00 ( 0.00%) 55871.00 ( -0.28%) 55336.00 ( -1.23%) 56325.00 ( 0.53%) 53021.00 ( -5.37%)
TPut 3 84375.00 ( 0.00%) 86268.00 ( 2.24%) 82832.00 ( -1.83%) 86164.00 ( 2.12%) 82818.00 ( -1.85%)
TPut 4 114968.00 ( 0.00%) 115229.00 ( 0.23%) 108632.00 ( -5.51%) 110348.00 ( -4.02%) 106984.00 ( -6.94%)
TPut 5 139786.00 ( 0.00%) 136641.00 ( -2.25%) 131027.00 ( -6.27%) 139978.00 ( 0.14%) 139000.00 ( -0.56%)
TPut 6 168084.00 ( 0.00%) 167331.00 ( -0.45%) 159409.00 ( -5.16%) 164444.00 ( -2.17%) 157117.00 ( -6.52%)
TPut 7 196709.00 ( 0.00%) 194751.00 ( -1.00%) 182849.00 ( -7.05%) 192798.00 ( -1.99%) 184336.00 ( -6.29%)
TPut 8 217119.00 ( 0.00%) 220303.00 ( 1.47%) 211978.00 ( -2.37%) 215026.00 ( -0.96%) 213757.00 ( -1.55%)
TPut 9 240359.00 ( 0.00%) 244058.00 ( 1.54%) 237005.00 ( -1.40%) 240441.00 ( 0.03%) 236827.00 ( -1.47%)
TPut 10 263615.00 ( 0.00%) 265787.00 ( 0.82%) 260203.00 ( -1.29%) 260737.00 ( -1.09%) 261361.00 ( -0.86%)
TPut 11 292052.00 ( 0.00%) 293012.00 ( 0.33%) 294855.00 ( 0.96%) 295295.00 ( 1.11%) 288431.00 ( -1.24%)
TPut 12 306763.00 ( 0.00%) 318380.00 ( 3.79%) 317420.00 ( 3.47%) 317958.00 ( 3.65%) 310027.00 ( 1.06%)
TPut 13 336282.00 ( 0.00%) 338831.00 ( 0.76%) 342010.00 ( 1.70%) 339773.00 ( 1.04%) 334431.00 ( -0.55%)
TPut 14 359216.00 ( 0.00%) 365707.00 ( 1.81%) 366968.00 ( 2.16%) 371908.00 ( 3.53%) 354059.00 ( -1.44%)
TPut 15 394379.00 ( 0.00%) 382206.00 ( -3.09%) 372864.00 ( -5.46%) 389394.00 ( -1.26%) 378397.00 ( -4.05%)
TPut 16 391503.00 ( 0.00%) 394595.00 ( 0.79%) 409349.00 ( 4.56%) 410242.00 ( 4.79%) 396774.00 ( 1.35%)
TPut 17 418193.00 ( 0.00%) 425690.00 ( 1.79%) 427327.00 ( 2.18%) 411347.00 ( -1.64%) 418920.00 ( 0.17%)
TPut 18 445409.00 ( 0.00%) 440833.00 ( -1.03%) 447030.00 ( 0.36%) 451240.00 ( 1.31%) 440823.00 ( -1.03%)
TPut 19 447209.00 ( 0.00%) 455059.00 ( 1.76%) 459879.00 ( 2.83%) 464383.00 ( 3.84%) 455354.00 ( 1.82%)
TPut 20 462761.00 ( 0.00%) 472095.00 ( 2.02%) 479006.00 ( 3.51%) 473824.00 ( 2.39%) 471917.00 ( 1.98%)
TPut 21 481207.00 ( 0.00%) 485035.00 ( 0.80%) 491456.00 ( 2.13%) 487685.00 ( 1.35%) 489372.00 ( 1.70%)
TPut 22 495510.00 ( 0.00%) 492799.00 ( -0.55%) 502316.00 ( 1.37%) 500868.00 ( 1.08%) 484667.00 ( -2.19%)
TPut 23 496669.00 ( 0.00%) 486543.00 ( -2.04%) 518198.00 ( 4.33%) 507320.00 ( 2.14%) 507332.00 ( 2.15%)
TPut 24 519722.00 ( 0.00%) 513153.00 ( -1.26%) 521337.00 ( 0.31%) 524108.00 ( 0.84%) 516621.00 ( -0.60%)
TPut 25 516030.00 ( 0.00%) 501461.00 ( -2.82%) 507013.00 ( -1.75%) 519228.00 ( 0.62%) 522712.00 ( 1.29%)
TPut 26 521824.00 ( 0.00%) 499423.00 ( -4.29%) 522584.00 ( 0.15%) 529076.00 ( 1.39%) 512817.00 ( -1.73%)
TPut 27 514817.00 ( 0.00%) 489511.00 ( -4.92%) 503722.00 ( -2.16%) 520135.00 ( 1.03%) 524537.00 ( 1.89%)
TPut 28 505838.00 ( 0.00%) 485151.00 ( -4.09%) 499372.00 ( -1.28%) 514423.00 ( 1.70%) 525086.00 ( 3.81%)
TPut 29 503231.00 ( 0.00%) 496580.00 ( -1.32%) 503838.00 ( 0.12%) 520836.00 ( 3.50%) 526196.00 ( 4.56%)
TPut 30 487832.00 ( 0.00%) 512245.00 ( 5.00%) 506440.00 ( 3.81%) 521409.00 ( 6.88%) 526048.00 ( 7.83%)
TPut 31 492896.00 ( 0.00%) 520700.00 ( 5.64%) 513648.00 ( 4.21%) 514615.00 ( 4.41%) 525456.00 ( 6.61%)
TPut 32 499692.00 ( 0.00%) 514756.00 ( 3.01%) 487157.00 ( -2.51%) 510817.00 ( 2.23%) 518296.00 ( 3.72%)
TPut 33 494054.00 ( 0.00%) 514193.00 ( 4.08%) 499706.00 ( 1.14%) 509734.00 ( 3.17%) 508643.00 ( 2.95%)
TPut 34 483213.00 ( 0.00%) 512204.00 ( 6.00%) 470473.00 ( -2.64%) 495556.00 ( 2.55%) 510309.00 ( 5.61%)
TPut 35 480068.00 ( 0.00%) 506472.00 ( 5.50%) 473011.00 ( -1.47%) 481812.00 ( 0.36%) 513299.00 ( 6.92%)
TPut 36 450114.00 ( 0.00%) 506894.00 ( 12.61%) 477324.00 ( 6.05%) 469524.00 ( 4.31%) 486779.00 ( 8.15%)
TPut 37 440154.00 ( 0.00%) 506266.00 ( 15.02%) 459718.00 ( 4.44%) 484438.00 ( 10.06%) 508613.00 ( 15.55%)
TPut 38 461536.00 ( 0.00%) 499960.00 ( 8.33%) 460417.00 ( -0.24%) 473332.00 ( 2.56%) 514863.00 ( 11.55%)
TPut 39 460596.00 ( 0.00%) 503353.00 ( 9.28%) 461793.00 ( 0.26%) 468966.00 ( 1.82%) 498496.00 ( 8.23%)
TPut 40 450746.00 ( 0.00%) 497059.00 ( 10.27%) 440518.00 ( -2.27%) 446687.00 ( -0.90%) 497462.00 ( 10.36%)
TPut 41 456565.00 ( 0.00%) 482549.00 ( 5.69%) 451770.00 ( -1.05%) 444771.00 ( -2.58%) 491267.00 ( 7.60%)
TPut 42 447258.00 ( 0.00%) 490184.00 ( 9.60%) 445414.00 ( -0.41%) 452870.00 ( 1.25%) 469483.00 ( 4.97%)
TPut 43 408979.00 ( 0.00%) 467385.00 ( 14.28%) 416133.00 ( 1.75%) 448137.00 ( 9.57%) 486668.00 ( 19.00%)
TPut 44 415774.00 ( 0.00%) 460710.00 ( 10.81%) 412956.00 ( -0.68%) 445221.00 ( 7.08%) 479664.00 ( 15.37%)
TPut 45 419682.00 ( 0.00%) 445293.00 ( 6.10%) 411016.00 ( -2.06%) 426650.00 ( 1.66%) 464358.00 ( 10.65%)
TPut 46 422698.00 ( 0.00%) 425270.00 ( 0.61%) 396870.00 ( -6.11%) 430955.00 ( 1.95%) 460729.00 ( 9.00%)
TPut 47 416622.00 ( 0.00%) 395166.00 ( -5.15%) 403654.00 ( -3.11%) 397989.00 ( -4.47%) 463184.00 ( 11.18%)
TPut 48 409081.00 ( 0.00%) 382490.00 ( -6.50%) 377057.00 ( -7.83%) 391214.00 ( -4.37%) 462186.00 ( 12.98%)
Mostly flat but it's interesting to note what a large impact the periodic
migration of tasks to their preferred node is.
specjbb Peaks
3.11.0 3.11.0 3.11.0 3.11.0 3.11.0
account-v8r20 falsedetect-v8r33 skipshared-v8r33 noatomics-v8r33 periodretry-v8r33
Expctd Warehouse 48.00 ( 0.00%) 48.00 ( 0.00%) 48.00 ( 0.00%) 48.00 ( 0.00%) 48.00 ( 0.00%)
Expctd Peak Bops 416622.00 ( 0.00%) 395166.00 ( -5.15%) 403654.00 ( -3.11%) 397989.00 ( -4.47%) 463184.00 ( 11.18%)
Actual Warehouse 27.00 ( 0.00%) 32.00 ( 18.52%) 27.00 ( 0.00%) 27.00 ( 0.00%) 30.00 ( 11.11%)
Actual Peak Bops 521824.00 ( 0.00%) 520700.00 ( -0.22%) 522584.00 ( 0.15%) 529076.00 ( 1.39%) 526196.00 ( 0.84%)
SpecJBB Bops 8349.00 ( 0.00%) 7806.00 ( -6.50%) 7695.00 ( -7.83%) 7984.00 ( -4.37%) 9432.00 ( 12.97%)
SpecJBB Bops/JVM 8349.00 ( 0.00%) 7806.00 ( -6.50%) 7695.00 ( -7.83%) 7984.00 ( -4.37%) 9432.00 ( 12.97%)
Same.
3.11.0 3.11.0 3.11.0 3.11.0 3.11.0
account-v8r20falsedetect-v8r33skipshared-v8r33noatomics-v8r33periodretry-v8r33
User 43797.04 44575.08 44571.62 44544.22 44591.39
System 863.95 135.20 151.93 137.42 165.06
Elapsed 1665.51 1665.06 1665.30 1665.22 1665.06
Big reduction in system CPU usage.
3.11.0 3.11.0 3.11.0 3.11.0 3.11.0
account-v8r20falsedetect-v8r33skipshared-v8r33noatomics-v8r33periodretry-v8r33
Compaction cost 135535 13678 17594 15600 13820
NUMA PTE updates 19815264 697698 3495802 3195079 3668267
NUMA hint faults 4029907 694556 3471637 3167057 3638629
NUMA hint local faults 1109183 239859 985693 894926 1148882
NUMA hint local percent 27 34 28 28 31
NUMA pages migrated 130574018 13177453 16950408 15029583 13314876
AutoNUMA cost 22769 3728 17704 16143 18471
Big reduction in the number of PTE updates but similar-ish fault statistics. We're getting roughly
the same benefit for much less work.
autonumabench
3.11.0 3.11.0 3.11.0 3.11.0 3.11.0
account-v8r20 falsedetect-v8r33 skipshared-v8r33 noatomics-v8r33 periodretry-v8r33
User NUMA01 44031.89 ( 0.00%) 60916.77 (-38.35%) 62988.76 (-43.05%) 62187.81 (-41.23%) 35403.01 ( 19.60%)
User NUMA01_THEADLOCAL 16956.40 ( 0.00%) 17665.21 ( -4.18%) 17809.92 ( -5.03%) 17605.32 ( -3.83%) 17238.74 ( -1.67%)
User NUMA02 2044.83 ( 0.00%) 2054.14 ( -0.46%) 2106.18 ( -3.00%) 2058.25 ( -0.66%) 2065.25 ( -1.00%)
User NUMA02_SMT 982.52 ( 0.00%) 978.55 ( 0.40%) 985.73 ( -0.33%) 975.96 ( 0.67%) 1001.48 ( -1.93%)
System NUMA01 1038.02 ( 0.00%) 320.44 ( 69.13%) 440.97 ( 57.52%) 179.55 ( 82.70%) 333.93 ( 67.83%)
System NUMA01_THEADLOCAL 323.01 ( 0.00%) 125.90 ( 61.02%) 132.59 ( 58.95%) 123.52 ( 61.76%) 171.04 ( 47.05%)
System NUMA02 10.26 ( 0.00%) 11.34 (-10.53%) 9.97 ( 2.83%) 9.07 ( 11.60%) 6.08 ( 40.74%)
System NUMA02_SMT 3.34 ( 0.00%) 3.43 ( -2.69%) 5.45 (-63.17%) 3.42 ( -2.40%) 3.40 ( -1.80%)
Elapsed NUMA01 999.90 ( 0.00%) 1363.26 (-36.34%) 1409.55 (-40.97%) 1386.34 (-38.65%) 792.81 ( 20.71%)
Elapsed NUMA01_THEADLOCAL 374.82 ( 0.00%) 395.48 ( -5.51%) 399.18 ( -6.50%) 393.90 ( -5.09%) 388.22 ( -3.58%)
Elapsed NUMA02 48.66 ( 0.00%) 50.15 ( -3.06%) 52.75 ( -8.41%) 50.81 ( -4.42%) 48.48 ( 0.37%)
Elapsed NUMA02_SMT 46.17 ( 0.00%) 46.72 ( -1.19%) 46.51 ( -0.74%) 45.98 ( 0.41%) 57.64 (-24.84%)
CPU NUMA01 4507.00 ( 0.00%) 4491.00 ( 0.36%) 4499.00 ( 0.18%) 4498.00 ( 0.20%) 4507.00 ( 0.00%)
CPU NUMA01_THEADLOCAL 4609.00 ( 0.00%) 4498.00 ( 2.41%) 4494.00 ( 2.50%) 4500.00 ( 2.36%) 4484.00 ( 2.71%)
CPU NUMA02 4222.00 ( 0.00%) 4117.00 ( 2.49%) 4011.00 ( 5.00%) 4068.00 ( 3.65%) 4272.00 ( -1.18%)
CPU NUMA02_SMT 2135.00 ( 0.00%) 2101.00 ( 1.59%) 2130.00 ( 0.23%) 2129.00 ( 0.28%) 1743.00 ( 18.36%)
In general, the numa01 (adverse workload) is hurt by the series until the
periodic retry patch is merged. In general that patch helps a lot except
in the case of numa02_SMT where it punished severely. It's odd because the
amount of system CPU usage that workload incurs is tiny.
This is SpecJBB running on a 4-socket machine with THP enabled and one JVM
running per node on the system.
specjbb
3.11.0 3.11.0 3.11.0 3.11.0 3.11.0
account-v8r20 falsedetect-v8r33 skipshared-v8r33 noatomics-v8r33 periodretry-v8r33
Mean 1 31915.75 ( 0.00%) 30007.50 ( -5.98%) 29590.50 ( -7.29%) 30562.75 ( -4.24%) 28888.75 ( -9.48%)
Mean 2 61914.50 ( 0.00%) 60854.00 ( -1.71%) 62163.25 ( 0.40%) 60594.25 ( -2.13%) 62521.75 ( 0.98%)
Mean 3 89693.25 ( 0.00%) 91159.25 ( 1.63%) 91939.00 ( 2.50%) 93235.50 ( 3.95%) 94956.75 ( 5.87%)
Mean 4 115687.50 ( 0.00%) 117438.00 ( 1.51%) 119940.50 ( 3.68%) 124273.75 ( 7.42%) 124600.75 ( 7.70%)
Mean 5 142789.25 ( 0.00%) 141024.00 ( -1.24%) 146349.00 ( 2.49%) 152133.25 ( 6.54%) 150575.00 ( 5.45%)
Mean 6 153345.25 ( 0.00%) 160091.25 ( 4.40%) 160991.00 ( 4.99%) 174128.50 ( 13.55%) 176533.50 ( 15.12%)
Mean 7 153004.00 ( 0.00%) 160972.00 ( 5.21%) 180219.75 ( 17.79%) 176605.25 ( 15.43%) 179010.25 ( 17.00%)
Mean 8 151906.00 ( 0.00%) 161832.50 ( 6.53%) 164960.75 ( 8.59%) 169345.25 ( 11.48%) 181374.75 ( 19.40%)
Mean 9 154198.50 ( 0.00%) 148888.25 ( -3.44%) 167819.75 ( 8.83%) 169039.75 ( 9.62%) 181401.75 ( 17.64%)
Mean 10 153377.00 ( 0.00%) 143134.75 ( -6.68%) 155716.00 ( 1.53%) 161498.25 ( 5.29%) 175450.50 ( 14.39%)
Mean 11 138278.50 ( 0.00%) 139928.50 ( 1.19%) 149627.25 ( 8.21%) 155845.75 ( 12.70%) 170797.75 ( 23.52%)
Mean 12 128598.00 ( 0.00%) 134543.50 ( 4.62%) 142626.50 ( 10.91%) 141966.75 ( 10.40%) 163766.50 ( 27.35%)
Mean 13 130092.00 ( 0.00%) 134991.25 ( 3.77%) 137179.50 ( 5.45%) 140382.75 ( 7.91%) 159106.00 ( 22.30%)
Mean 14 121786.25 ( 0.00%) 134701.25 ( 10.60%) 134942.75 ( 10.80%) 140522.50 ( 15.38%) 156676.25 ( 28.65%)
Mean 15 121842.25 ( 0.00%) 134521.00 ( 10.41%) 134251.25 ( 10.18%) 136963.50 ( 12.41%) 154455.50 ( 26.77%)
Mean 16 120808.25 ( 0.00%) 130800.50 ( 8.27%) 136500.50 ( 12.99%) 134488.50 ( 11.32%) 150137.75 ( 24.28%)
Mean 17 118703.25 ( 0.00%) 130281.00 ( 9.75%) 134345.00 ( 13.18%) 132618.75 ( 11.72%) 147027.50 ( 23.86%)
Mean 18 116243.50 ( 0.00%) 128010.75 ( 10.12%) 130742.75 ( 12.47%) 128031.25 ( 10.14%) 145852.50 ( 25.47%)
Mean 19 116508.75 ( 0.00%) 127627.25 ( 9.54%) 127561.50 ( 9.49%) 123765.25 ( 6.23%) 140879.25 ( 20.92%)
Mean 20 117386.50 ( 0.00%) 133369.25 ( 13.62%) 126746.00 ( 7.97%) 127327.75 ( 8.47%) 141559.25 ( 20.59%)
Mean 21 118308.00 ( 0.00%) 129000.25 ( 9.04%) 127664.25 ( 7.91%) 125308.50 ( 5.92%) 138110.75 ( 16.74%)
Mean 22 116577.75 ( 0.00%) 130031.50 ( 11.54%) 127755.75 ( 9.59%) 129445.75 ( 11.04%) 136937.50 ( 17.46%)
Mean 23 117444.50 ( 0.00%) 125593.50 ( 6.94%) 125423.25 ( 6.79%) 121178.50 ( 3.18%) 134960.25 ( 14.91%)
Mean 24 108114.00 ( 0.00%) 121164.25 ( 12.07%) 117293.75 ( 8.49%) 119736.25 ( 10.75%) 130200.25 ( 20.43%)
Mean 25 114144.50 ( 0.00%) 118106.50 ( 3.47%) 118405.00 ( 3.73%) 127544.75 ( 11.74%) 133198.50 ( 16.69%)
Mean 26 111531.00 ( 0.00%) 120096.00 ( 7.68%) 124074.50 ( 11.25%) 131079.50 ( 17.53%) 133463.50 ( 19.66%)
Mean 27 113381.50 ( 0.00%) 121547.75 ( 7.20%) 121492.75 ( 7.15%) 127801.25 ( 12.72%) 135127.25 ( 19.18%)
Mean 28 111333.50 ( 0.00%) 118054.25 ( 6.04%) 121414.00 ( 9.05%) 134754.00 ( 21.04%) 133270.00 ( 19.70%)
Mean 29 108411.25 ( 0.00%) 119588.00 ( 10.31%) 123334.50 ( 13.77%) 132048.25 ( 21.80%) 131892.50 ( 21.66%)
Mean 30 110572.00 ( 0.00%) 119673.50 ( 8.23%) 118952.00 ( 7.58%) 127541.50 ( 15.35%) 132982.00 ( 20.27%)
Mean 31 114267.00 ( 0.00%) 117367.75 ( 2.71%) 119463.75 ( 4.55%) 126795.75 ( 10.96%) 133970.00 ( 17.24%)
Mean 32 112054.50 ( 0.00%) 115357.00 ( 2.95%) 111839.00 ( -0.19%) 126267.00 ( 12.68%) 133289.00 ( 18.95%)
Mean 33 113664.50 ( 0.00%) 115657.50 ( 1.75%) 119608.00 ( 5.23%) 124996.50 ( 9.97%) 135356.00 ( 19.08%)
Mean 34 110793.00 ( 0.00%) 115023.00 ( 3.82%) 122672.25 ( 10.72%) 124025.50 ( 11.94%) 135818.00 ( 22.59%)
Mean 35 116855.75 ( 0.00%) 118724.00 ( 1.60%) 115770.50 ( -0.93%) 129668.50 ( 10.96%) 136327.00 ( 16.66%)
Mean 36 112375.25 ( 0.00%) 121457.50 ( 8.08%) 116098.00 ( 3.31%) 125627.25 ( 11.79%) 134052.25 ( 19.29%)
Mean 37 109171.25 ( 0.00%) 119452.75 ( 9.42%) 119359.75 ( 9.33%) 119926.25 ( 9.85%) 133200.75 ( 22.01%)
Mean 38 105759.50 ( 0.00%) 124684.00 ( 17.89%) 117629.25 ( 11.22%) 119691.25 ( 13.17%) 132992.75 ( 25.75%)
Mean 39 110185.00 ( 0.00%) 125151.75 ( 13.58%) 112839.00 ( 2.41%) 117929.00 ( 7.03%) 133400.75 ( 21.07%)
Mean 40 110683.50 ( 0.00%) 122496.50 ( 10.67%) 118156.50 ( 6.75%) 120739.00 ( 9.08%) 132520.25 ( 19.73%)
Mean 41 102152.00 ( 0.00%) 123401.50 ( 20.80%) 114519.00 ( 12.11%) 119549.00 ( 17.03%) 132827.00 ( 30.03%)
Mean 42 105378.50 ( 0.00%) 115035.25 ( 9.16%) 110092.25 ( 4.47%) 119086.75 ( 13.01%) 130747.75 ( 24.07%)
Mean 43 107112.00 ( 0.00%) 112384.75 ( 4.92%) 110925.75 ( 3.56%) 112715.75 ( 5.23%) 133097.00 ( 24.26%)
Mean 44 105611.25 ( 0.00%) 118682.75 ( 12.38%) 106846.50 ( 1.17%) 114581.25 ( 8.49%) 131913.25 ( 24.90%)
Mean 45 105092.25 ( 0.00%) 116890.50 ( 11.23%) 110318.25 ( 4.97%) 113010.00 ( 7.53%) 130818.00 ( 24.48%)
Mean 46 111016.25 ( 0.00%) 111954.00 ( 0.84%) 106253.75 ( -4.29%) 111746.00 ( 0.66%) 128427.25 ( 15.68%)
Mean 47 106660.75 ( 0.00%) 116336.00 ( 9.07%) 110024.00 ( 3.15%) 109703.50 ( 2.85%) 128223.50 ( 20.22%)
Mean 48 103423.75 ( 0.00%) 115325.00 ( 11.51%) 108381.50 ( 4.79%) 112662.50 ( 8.93%) 128536.75 ( 24.28%)
Stddev 1 1309.96 ( 0.00%) 1796.84 (-37.17%) 1529.84 (-16.78%) 725.83 ( 44.59%) 1207.28 ( 7.84%)
Stddev 2 900.52 ( 0.00%) 954.05 ( -5.94%) 2856.62 (-217.22%) 2730.12 (-203.17%) 2743.74 (-204.68%)
Stddev 3 845.76 ( 0.00%) 778.56 ( 7.95%) 3350.11 (-296.11%) 2794.68 (-230.43%) 1923.88 (-127.47%)
Stddev 4 4988.11 ( 0.00%) 2321.83 ( 53.45%) 4635.26 ( 7.07%) 867.46 ( 82.61%) 1288.21 ( 74.17%)
Stddev 5 5969.57 ( 0.00%) 1605.41 ( 73.11%) 5415.52 ( 9.28%) 2328.13 ( 61.00%) 1844.24 ( 69.11%)
Stddev 6 12478.42 ( 0.00%) 3204.26 ( 74.32%) 4928.12 ( 60.51%) 1908.73 ( 84.70%) 1109.97 ( 91.10%)
Stddev 7 5975.15 ( 0.00%) 5954.29 ( 0.35%) 2558.42 ( 57.18%) 2245.10 ( 62.43%) 894.47 ( 85.03%)
Stddev 8 3404.47 ( 0.00%) 16525.39 (-385.40%) 8166.52 (-139.88%) 6520.79 (-91.54%) 1233.67 ( 63.76%)
Stddev 9 8811.92 ( 0.00%) 17373.77 (-97.16%) 8384.83 ( 4.85%) 4511.21 ( 48.81%) 6092.53 ( 30.86%)
Stddev 10 4050.40 ( 0.00%) 16781.65 (-314.32%) 9299.40 (-129.59%) 7901.83 (-95.09%) 7086.69 (-74.96%)
Stddev 11 9475.98 ( 0.00%) 22925.45 (-141.93%) 16135.16 (-70.27%) 15935.55 (-68.17%) 12776.76 (-34.83%)
Stddev 12 1961.27 ( 0.00%) 17661.49 (-800.51%) 12080.97 (-515.98%) 13293.01 (-577.77%) 16113.60 (-721.59%)
Stddev 13 2164.98 ( 0.00%) 20902.15 (-865.47%) 13747.72 (-535.00%) 10093.27 (-366.21%) 17382.57 (-702.90%)
Stddev 14 4186.32 ( 0.00%) 13552.26 (-223.73%) 15955.56 (-281.14%) 9782.02 (-133.67%) 17469.49 (-317.30%)
Stddev 15 1766.42 ( 0.00%) 14148.85 (-700.99%) 10003.01 (-466.29%) 7777.42 (-340.29%) 17940.51 (-915.64%)
Stddev 16 4116.25 ( 0.00%) 17131.59 (-316.19%) 9714.07 (-135.99%) 9721.54 (-136.17%) 16802.13 (-308.19%)
Stddev 17 4252.36 ( 0.00%) 14060.30 (-230.65%) 7048.48 (-65.75%) 6797.22 (-59.85%) 14995.28 (-252.63%)
Stddev 18 4421.47 ( 0.00%) 15675.15 (-254.52%) 6404.13 (-44.84%) 8467.89 (-91.52%) 14654.80 (-231.45%)
Stddev 19 1969.40 ( 0.00%) 13932.78 (-607.46%) 8825.82 (-348.15%) 8576.52 (-335.49%) 14659.18 (-644.35%)
Stddev 20 4204.79 ( 0.00%) 9151.72 (-117.65%) 6336.02 (-50.69%) 4104.31 ( 2.39%) 13911.10 (-230.84%)
Stddev 21 2319.45 ( 0.00%) 7818.64 (-237.09%) 5782.65 (-149.31%) 9329.94 (-302.25%) 15425.22 (-565.04%)
Stddev 22 1704.55 ( 0.00%) 8563.76 (-402.40%) 4382.12 (-157.08%) 5264.66 (-208.86%) 14777.92 (-766.97%)
Stddev 23 4454.10 ( 0.00%) 6454.89 (-44.92%) 10773.06 (-141.87%) 8137.56 (-82.70%) 12067.61 (-170.93%)
Stddev 24 3134.81 ( 0.00%) 9448.45 (-201.40%) 5911.90 (-88.59%) 8289.99 (-164.45%) 19696.90 (-528.33%)
Stddev 25 1946.32 ( 0.00%) 9054.46 (-365.21%) 5994.17 (-207.98%) 5082.87 (-161.15%) 15444.45 (-693.52%)
Stddev 26 6694.44 ( 0.00%) 8657.01 (-29.32%) 6814.85 ( -1.80%) 3582.44 ( 46.49%) 15096.81 (-125.51%)
Stddev 27 5159.46 ( 0.00%) 7280.85 (-41.12%) 4058.33 ( 21.34%) 6129.48 (-18.80%) 14158.65 (-174.42%)
Stddev 28 2665.79 ( 0.00%) 10345.52 (-288.08%) 2327.74 ( 12.68%) 1748.34 ( 34.42%) 14139.33 (-430.40%)
Stddev 29 6353.05 ( 0.00%) 7672.72 (-20.77%) 6876.07 ( -8.23%) 4385.79 ( 30.97%) 13514.71 (-112.73%)
Stddev 30 5378.33 ( 0.00%) 8665.82 (-61.12%) 6681.09 (-24.22%) 7983.87 (-48.45%) 14576.47 (-171.02%)
Stddev 31 10359.52 ( 0.00%) 10179.47 ( 1.74%) 5075.29 ( 51.01%) 4198.25 ( 59.47%) 14020.78 (-35.34%)
Stddev 32 9090.09 ( 0.00%) 17015.37 (-87.19%) 6124.63 ( 32.62%) 5635.11 ( 38.01%) 14899.79 (-63.91%)
Stddev 33 7143.20 ( 0.00%) 15988.55 (-123.83%) 7464.48 ( -4.50%) 3019.97 ( 57.72%) 13049.06 (-82.68%)
Stddev 34 4954.01 ( 0.00%) 8884.64 (-79.34%) 7827.59 (-58.01%) 4385.45 ( 11.48%) 13382.51 (-170.14%)
Stddev 35 6247.59 ( 0.00%) 9136.41 (-46.24%) 4600.77 ( 26.36%) 3211.43 ( 48.60%) 11547.88 (-84.84%)
Stddev 36 7325.84 ( 0.00%) 7969.69 ( -8.79%) 5746.70 ( 21.56%) 6279.05 ( 14.29%) 13622.23 (-85.95%)
Stddev 37 7952.43 ( 0.00%) 11648.76 (-46.48%) 6065.84 ( 23.72%) 6666.17 ( 16.17%) 12860.81 (-61.72%)
Stddev 38 6473.08 ( 0.00%) 6465.75 ( 0.11%) 4958.70 ( 23.40%) 6539.37 ( -1.02%) 15220.62 (-135.14%)
Stddev 39 2568.69 ( 0.00%) 5494.22 (-113.89%) 5649.24 (-119.93%) 5527.10 (-115.17%) 13685.29 (-432.77%)
Stddev 40 2823.65 ( 0.00%) 7118.16 (-152.09%) 1970.80 ( 30.20%) 5372.43 (-90.27%) 13223.53 (-368.31%)
Stddev 41 2145.41 ( 0.00%) 5532.78 (-157.89%) 3929.36 (-83.15%) 6514.51 (-203.65%) 13346.51 (-522.10%)
Stddev 42 2334.79 ( 0.00%) 7695.64 (-229.61%) 5361.91 (-129.65%) 5845.25 (-150.35%) 13245.12 (-467.29%)
Stddev 43 8940.43 ( 0.00%) 14286.16 (-59.79%) 9110.82 ( -1.91%) 8481.12 ( 5.14%) 14413.92 (-61.22%)
Stddev 44 6738.12 ( 0.00%) 10145.70 (-50.57%) 4789.94 ( 28.91%) 7463.67 (-10.77%) 15134.45 (-124.61%)
Stddev 45 3219.83 ( 0.00%) 6743.00 (-109.42%) 7629.10 (-136.94%) 5441.27 (-68.99%) 13401.43 (-316.22%)
Stddev 46 7925.89 ( 0.00%) 9956.81 (-25.62%) 9729.49 (-22.76%) 10130.88 (-27.82%) 14020.22 (-76.89%)
Stddev 47 7034.02 ( 0.00%) 12456.90 (-77.09%) 12705.68 (-80.63%) 5117.46 ( 27.25%) 13224.66 (-88.01%)
Stddev 48 11774.16 ( 0.00%) 8678.39 ( 26.29%) 11906.07 ( -1.12%) 5293.32 ( 55.04%) 13968.76 (-18.64%)
TPut 1 127663.00 ( 0.00%) 120030.00 ( -5.98%) 118362.00 ( -7.29%) 122251.00 ( -4.24%) 115555.00 ( -9.48%)
TPut 2 247658.00 ( 0.00%) 243416.00 ( -1.71%) 248653.00 ( 0.40%) 242377.00 ( -2.13%) 250087.00 ( 0.98%)
TPut 3 358773.00 ( 0.00%) 364637.00 ( 1.63%) 367756.00 ( 2.50%) 372942.00 ( 3.95%) 379827.00 ( 5.87%)
TPut 4 462750.00 ( 0.00%) 469752.00 ( 1.51%) 479762.00 ( 3.68%) 497095.00 ( 7.42%) 498403.00 ( 7.70%)
TPut 5 571157.00 ( 0.00%) 564096.00 ( -1.24%) 585396.00 ( 2.49%) 608533.00 ( 6.54%) 602300.00 ( 5.45%)
TPut 6 613381.00 ( 0.00%) 640365.00 ( 4.40%) 643964.00 ( 4.99%) 696514.00 ( 13.55%) 706134.00 ( 15.12%)
TPut 7 612016.00 ( 0.00%) 643888.00 ( 5.21%) 720879.00 ( 17.79%) 706421.00 ( 15.43%) 716041.00 ( 17.00%)
TPut 8 607624.00 ( 0.00%) 647330.00 ( 6.53%) 659843.00 ( 8.59%) 677381.00 ( 11.48%) 725499.00 ( 19.40%)
TPut 9 616794.00 ( 0.00%) 595553.00 ( -3.44%) 671279.00 ( 8.83%) 676159.00 ( 9.62%) 725607.00 ( 17.64%)
TPut 10 613508.00 ( 0.00%) 572539.00 ( -6.68%) 622864.00 ( 1.53%) 645993.00 ( 5.29%) 701802.00 ( 14.39%)
TPut 11 553114.00 ( 0.00%) 559714.00 ( 1.19%) 598509.00 ( 8.21%) 623383.00 ( 12.70%) 683191.00 ( 23.52%)
TPut 12 514392.00 ( 0.00%) 538174.00 ( 4.62%) 570506.00 ( 10.91%) 567867.00 ( 10.40%) 655066.00 ( 27.35%)
TPut 13 520368.00 ( 0.00%) 539965.00 ( 3.77%) 548718.00 ( 5.45%) 561531.00 ( 7.91%) 636424.00 ( 22.30%)
TPut 14 487145.00 ( 0.00%) 538805.00 ( 10.60%) 539771.00 ( 10.80%) 562090.00 ( 15.38%) 626705.00 ( 28.65%)
TPut 15 487369.00 ( 0.00%) 538084.00 ( 10.41%) 537005.00 ( 10.18%) 547854.00 ( 12.41%) 617822.00 ( 26.77%)
TPut 16 483233.00 ( 0.00%) 523202.00 ( 8.27%) 546002.00 ( 12.99%) 537954.00 ( 11.32%) 600551.00 ( 24.28%)
TPut 17 474813.00 ( 0.00%) 521124.00 ( 9.75%) 537380.00 ( 13.18%) 530475.00 ( 11.72%) 588110.00 ( 23.86%)
TPut 18 464974.00 ( 0.00%) 512043.00 ( 10.12%) 522971.00 ( 12.47%) 512125.00 ( 10.14%) 583410.00 ( 25.47%)
TPut 19 466035.00 ( 0.00%) 510509.00 ( 9.54%) 510246.00 ( 9.49%) 495061.00 ( 6.23%) 563517.00 ( 20.92%)
TPut 20 469546.00 ( 0.00%) 533477.00 ( 13.62%) 506984.00 ( 7.97%) 509311.00 ( 8.47%) 566237.00 ( 20.59%)
TPut 21 473232.00 ( 0.00%) 516001.00 ( 9.04%) 510657.00 ( 7.91%) 501234.00 ( 5.92%) 552443.00 ( 16.74%)
TPut 22 466311.00 ( 0.00%) 520126.00 ( 11.54%) 511023.00 ( 9.59%) 517783.00 ( 11.04%) 547750.00 ( 17.46%)
TPut 23 469778.00 ( 0.00%) 502374.00 ( 6.94%) 501693.00 ( 6.79%) 484714.00 ( 3.18%) 539841.00 ( 14.91%)
TPut 24 432456.00 ( 0.00%) 484657.00 ( 12.07%) 469175.00 ( 8.49%) 478945.00 ( 10.75%) 520801.00 ( 20.43%)
TPut 25 456578.00 ( 0.00%) 472426.00 ( 3.47%) 473620.00 ( 3.73%) 510179.00 ( 11.74%) 532794.00 ( 16.69%)
TPut 26 446124.00 ( 0.00%) 480384.00 ( 7.68%) 496298.00 ( 11.25%) 524318.00 ( 17.53%) 533854.00 ( 19.66%)
TPut 27 453526.00 ( 0.00%) 486191.00 ( 7.20%) 485971.00 ( 7.15%) 511205.00 ( 12.72%) 540509.00 ( 19.18%)
TPut 28 445334.00 ( 0.00%) 472217.00 ( 6.04%) 485656.00 ( 9.05%) 539016.00 ( 21.04%) 533080.00 ( 19.70%)
TPut 29 433645.00 ( 0.00%) 478352.00 ( 10.31%) 493338.00 ( 13.77%) 528193.00 ( 21.80%) 527570.00 ( 21.66%)
TPut 30 442288.00 ( 0.00%) 478694.00 ( 8.23%) 475808.00 ( 7.58%) 510166.00 ( 15.35%) 531928.00 ( 20.27%)
TPut 31 457068.00 ( 0.00%) 469471.00 ( 2.71%) 477855.00 ( 4.55%) 507183.00 ( 10.96%) 535880.00 ( 17.24%)
TPut 32 448218.00 ( 0.00%) 461428.00 ( 2.95%) 447356.00 ( -0.19%) 505068.00 ( 12.68%) 533156.00 ( 18.95%)
TPut 33 454658.00 ( 0.00%) 462630.00 ( 1.75%) 478432.00 ( 5.23%) 499986.00 ( 9.97%) 541424.00 ( 19.08%)
TPut 34 443172.00 ( 0.00%) 460092.00 ( 3.82%) 490689.00 ( 10.72%) 496102.00 ( 11.94%) 543272.00 ( 22.59%)
TPut 35 467423.00 ( 0.00%) 474896.00 ( 1.60%) 463082.00 ( -0.93%) 518674.00 ( 10.96%) 545308.00 ( 16.66%)
TPut 36 449501.00 ( 0.00%) 485830.00 ( 8.08%) 464392.00 ( 3.31%) 502509.00 ( 11.79%) 536209.00 ( 19.29%)
TPut 37 436685.00 ( 0.00%) 477811.00 ( 9.42%) 477439.00 ( 9.33%) 479705.00 ( 9.85%) 532803.00 ( 22.01%)
TPut 38 423038.00 ( 0.00%) 498736.00 ( 17.89%) 470517.00 ( 11.22%) 478765.00 ( 13.17%) 531971.00 ( 25.75%)
TPut 39 440740.00 ( 0.00%) 500607.00 ( 13.58%) 451356.00 ( 2.41%) 471716.00 ( 7.03%) 533603.00 ( 21.07%)
TPut 40 442734.00 ( 0.00%) 489986.00 ( 10.67%) 472626.00 ( 6.75%) 482956.00 ( 9.08%) 530081.00 ( 19.73%)
TPut 41 408608.00 ( 0.00%) 493606.00 ( 20.80%) 458076.00 ( 12.11%) 478196.00 ( 17.03%) 531308.00 ( 30.03%)
TPut 42 421514.00 ( 0.00%) 460141.00 ( 9.16%) 440369.00 ( 4.47%) 476347.00 ( 13.01%) 522991.00 ( 24.07%)
TPut 43 428448.00 ( 0.00%) 449539.00 ( 4.92%) 443703.00 ( 3.56%) 450863.00 ( 5.23%) 532388.00 ( 24.26%)
TPut 44 422445.00 ( 0.00%) 474731.00 ( 12.38%) 427386.00 ( 1.17%) 458325.00 ( 8.49%) 527653.00 ( 24.90%)
TPut 45 420369.00 ( 0.00%) 467562.00 ( 11.23%) 441273.00 ( 4.97%) 452040.00 ( 7.53%) 523272.00 ( 24.48%)
TPut 46 444065.00 ( 0.00%) 447816.00 ( 0.84%) 425015.00 ( -4.29%) 446984.00 ( 0.66%) 513709.00 ( 15.68%)
TPut 47 426643.00 ( 0.00%) 465344.00 ( 9.07%) 440096.00 ( 3.15%) 438814.00 ( 2.85%) 512894.00 ( 20.22%)
TPut 48 413695.00 ( 0.00%) 461300.00 ( 11.51%) 433526.00 ( 4.79%) 450650.00 ( 8.93%) 514147.00 ( 24.28%)
This is looking much better overall and again the impact of the continual
retries of migration makes a big difference. It indicates that it would
be worth investigating why the retries are even necessary. It would be
unfortunate if NUMA scheduling was constantly battling the load balancer.
specjbb Peaks
3.11.0 3.11.0 3.11.0 3.11.0 3.11.0
account-v8r20 falsedetect-v8r33 skipshared-v8r33 noatomics-v8r33 periodretry-v8r33
Expctd Warehouse 12.00 ( 0.00%) 12.00 ( 0.00%) 12.00 ( 0.00%) 12.00 ( 0.00%) 12.00 ( 0.00%)
Expctd Peak Bops 553114.00 ( 0.00%) 559714.00 ( 1.19%) 598509.00 ( 8.21%) 623383.00 ( 12.70%) 683191.00 ( 23.52%)
Actual Warehouse 10.00 ( 0.00%) 9.00 (-10.00%) 8.00 (-20.00%) 8.00 (-20.00%) 10.00 ( 0.00%)
Actual Peak Bops 616794.00 ( 0.00%) 647330.00 ( 4.95%) 720879.00 ( 16.88%) 706421.00 ( 14.53%) 725607.00 ( 17.64%)
SpecJBB Bops 477666.00 ( 0.00%) 521426.00 ( 9.16%) 524010.00 ( 9.70%) 523610.00 ( 9.62%) 584513.00 ( 22.37%)
SpecJBB Bops/JVM 119417.00 ( 0.00%) 130357.00 ( 9.16%) 131003.00 ( 9.70%) 130903.00 ( 9.62%) 146128.00 ( 22.37%)
Speaks for itself really, looks great.
3.11.0 3.11.0 3.11.0 3.11.0 3.11.0
account-v8r20falsedetect-v8r33skipshared-v8r33noatomics-v8r33periodretry-v8r33
User 466719.69 478006.22 476399.23 476733.11 476517.65
System 11049.55 913.00 1429.31 1317.87 994.02
Elapsed 10381.80 10415.18 10384.39 10383.33 10393.91
and system CPU usage is still way down so now we are seeing large improvements for less work.
3.11.0 3.11.0 3.11.0 3.11.0 3.11.0
account-v8r20falsedetect-v8r33skipshared-v8r33noatomics-v8r33periodretry-v8r33
Compaction cost 1432168 77123 127225 119169 66598
NUMA PTE updates 505320169 9237242 44679605 40306037 40633804
NUMA hint faults 67707706 9240325 44739890 40798082 40521421
NUMA hint local faults 22183991 3313857 14359951 13135180 25014367
NUMA hint local percent 32 35 32 32 61
NUMA pages migrated 1379738662 74299705 122568192 114806428 64160571
AutoNUMA cost 368290 47677 226341 206453 204110
That migrate retry thing does wonders for the local fault percentage. Really worth checking out
why tasks are getting migrated off their preferred node.
The NAS parallel benchmarks had not run at the time of writing but I decided not to delay releasing
this anyway.
Overall this series is now looking much better. The hotplug handling part
is still missing but hopefully with Peter overhead reduction efforts it
will not impair the results much. The primary curiousity for me is why
the period retry makes such a difference because in my mind it implies
the load balancer and numa scheduler are working against each other for
some reason. Even without that answer I think this should get some time
in tip when the hotplug part is filled in.
Documentation/sysctl/kernel.txt | 76 ++
arch/x86/mm/numa.c | 6 +-
fs/exec.c | 1 +
fs/proc/array.c | 2 +
include/linux/mempolicy.h | 1 +
include/linux/migrate.h | 7 +-
include/linux/mm.h | 118 ++-
include/linux/mm_types.h | 17 +-
include/linux/page-flags-layout.h | 28 +-
include/linux/sched.h | 63 +-
include/linux/sched/sysctl.h | 1 -
include/linux/stop_machine.h | 1 +
kernel/bounds.c | 4 +
kernel/fork.c | 5 +-
kernel/sched/core.c | 197 ++++-
kernel/sched/debug.c | 60 +-
kernel/sched/fair.c | 1608 +++++++++++++++++++++++++++++--------
kernel/sched/features.h | 19 +-
kernel/sched/idle_task.c | 2 +-
kernel/sched/rt.c | 5 +-
kernel/sched/sched.h | 27 +-
kernel/sched/stop_task.c | 2 +-
kernel/stop_machine.c | 272 ++++---
kernel/sysctl.c | 21 +-
lib/vsprintf.c | 5 +
mm/huge_memory.c | 119 ++-
mm/memory.c | 158 ++--
mm/mempolicy.c | 82 +-
mm/migrate.c | 49 +-
mm/mm_init.c | 18 +-
mm/mmzone.c | 14 +-
mm/mprotect.c | 65 +-
mm/page_alloc.c | 4 +-
33 files changed, 2307 insertions(+), 750 deletions(-)
--
1.8.1.4
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