如果我将Kolakoski Sequence定义为
kolakoski () !! 500000000
并找到第500,000,000个术语
while index>len(numbers):
我发现当使用ghc -O编译时,这会很快消耗大量内存。但是,如果关闭优化,它几乎不会使用任何东西。哪种优化导致了这种情况,如何将其关闭?
答案 0 :(得分:6)
让我们比较实际数字。如果在没有优化的情况下运行,您的kolakoski
版本将使用大约70k:
$ ghc --make Kolakoski-Unit && ./Kolakoski-Unit +RTS -s 2 288,002,359,096 bytes allocated in the heap 1,343,933,816 bytes copied during GC 67,576 bytes maximum residency (422 sample(s)) 52,128 bytes maximum slop 2 MB total memory in use (0 MB lost due to fragmentation) Tot time (elapsed) Avg pause Max pause Gen 0 551615 colls, 0 par 1.89s 2.30s 0.0000s 0.0001s Gen 1 422 colls, 0 par 0.02s 0.02s 0.0001s 0.0001s INIT time 0.00s ( 0.00s elapsed) MUT time 37.34s ( 37.25s elapsed) GC time 1.91s ( 2.33s elapsed) EXIT time 0.00s ( 0.00s elapsed) Total time 39.25s ( 39.58s elapsed) %GC time 4.9% (5.9% elapsed) Alloc rate 7,712,197,063 bytes per MUT second Productivity 95.1% of total user, 94.3% of total elapsed
通过优化,它使用大约4GB(尽管任务管理器中的实际内存使用量高达~6GB)。
$ ghc --make Kolakoski-Unit -O && ./Kolakoski-Unit +RTS -s 2 64,000,066,608 bytes allocated in the heap 27,971,527,816 bytes copied during GC 3,899,031,480 bytes maximum residency (34 sample(s)) 91,679,728 bytes maximum slop 9549 MB total memory in use (0 MB lost due to fragmentation) Tot time (elapsed) Avg pause Max pause Gen 0 122806 colls, 0 par 8.67s 9.48s 0.0001s 0.0148s Gen 1 34 colls, 0 par 11.55s 69.78s 2.0524s 56.2970s INIT time 0.00s ( 0.00s elapsed) MUT time 8.80s ( 8.43s elapsed) GC time 20.22s ( 79.26s elapsed) EXIT time 0.03s ( 0.89s elapsed) Total time 29.05s ( 88.58s elapsed) %GC time 69.6% (89.5% elapsed) Alloc rate 7,275,318,406 bytes per MUT second Productivity 30.4% of total user, 10.0% of total elapsed
如果我们使用基于列表的版本而不使用优化,则内存消耗与启用了优化的内存消耗非常相似:
kolakoskiList :: [Int]
kolakoskiList = 1 : 2 : helper
where
helper = 2 : concat (zipWith replicate helper (cycle [1, 2]))
$ ghc --make Kolakoski-List && ./Kolakoski-List +RTS -s 2 96,000,143,328 bytes allocated in the heap 26,615,974,536 bytes copied during GC 3,565,429,808 bytes maximum residency (34 sample(s)) 83,610,688 bytes maximum slop 8732 MB total memory in use (0 MB lost due to fragmentation) Tot time (elapsed) Avg pause Max pause Gen 0 184252 colls, 0 par 9.98s 10.16s 0.0001s 0.0006s Gen 1 34 colls, 0 par 10.45s 21.61s 0.6357s 12.0792s INIT time 0.00s ( 0.00s elapsed) MUT time 12.02s ( 11.88s elapsed) GC time 20.44s ( 31.77s elapsed) EXIT time 0.05s ( 0.69s elapsed) Total time 32.50s ( 44.34s elapsed) %GC time 62.9% (71.7% elapsed) Alloc rate 7,989,608,807 bytes per MUT second Productivity 37.1% of total user, 27.2% of total elapsed
现在,我们可以检查GHC flag reference以查找在-O
上自动设置的标记。由于列表版本似乎与优化版本相同,因此人们可能会认为GHC将kolakoski
转换为kolakoskiList
:
kolakoskiOptimized _ = kolakoskiList
让我们通过-ddump-simpl -dsupress-all
==================== Tidy Core ====================
Result size of Tidy Core = {terms: 45, types: 30, coercions: 0}
kolakoski
kolakoski =
\ ds_d10r ->
case ds_d10r of _ { () ->
: (I# 1)
(: (I# 2)
(letrec {
helper_aNo
helper_aNo =
\ ds1_d10s ->
case ds1_d10s of _ { () ->
: (I# 2)
(concat
(zipWith
(replicate) (helper_aNo ()) (cycle (: (I# 1) (: (I# 2) ([]))))))
}; } in
helper_aNo ()))
}
main
main = print $fShowInt (!! (kolakoski ()) (I# 500000000))
main
main = runMainIO main
即使您不熟悉GHC的核心,您也可以看到kolakoski
与原始版本大致相同。现在将其与-O -ddump-simpl -dsupress-all
:
==================== Tidy Core ====================
Result size of Tidy Core = {terms: 125, types: 102, coercions: 9}
kolakoski6
kolakoski6 = I# 1
kolakoski5
kolakoski5 = I# 2
Rec {
go_r1NG
go_r1NG =
\ ds_a14B _ys_a14C ->
case ds_a14B of _ {
[] -> [];
: ipv_a14H ipv1_a14I ->
case _ys_a14C of _ {
[] -> [];
: ipv2_a14O ipv3_a14P ->
case ipv_a14H of _ { I# n#_a13J ->
case tagToEnum# (<=# n#_a13J 0) of _ {
False ->
let {
lvl2_s1N3
lvl2_s1N3 = : ipv2_a14O ([]) } in
letrec {
xs_a1LH
xs_a1LH =
\ m_a1LO ->
case tagToEnum# (<=# m_a1LO 1) of _ {
False -> : ipv2_a14O (xs_a1LH (-# m_a1LO 1));
True -> lvl2_s1N3
}; } in
++ (xs_a1LH n#_a13J) (go_r1NG ipv1_a14I ipv3_a14P);
True -> ++ ([]) (go_r1NG ipv1_a14I ipv3_a14P)
}
}
}
}
end Rec }
lvl_r1NH
lvl_r1NH = : kolakoski5 ([])
lvl1_r1NI
lvl1_r1NI = : kolakoski6 lvl_r1NH
Rec {
xs'_r1NJ
xs'_r1NJ = ++ lvl1_r1NI xs'_r1NJ
end Rec }
Rec {
kolakoski3
kolakoski3 = : kolakoski5 kolakoski4
kolakoski4
kolakoski4 = go_r1NG kolakoski3 xs'_r1NJ
end Rec }
kolakoski2
kolakoski2 = : kolakoski5 kolakoski3
kolakoski1
kolakoski1 = : kolakoski6 kolakoski2
kolakoski
kolakoski = \ ds_d13p -> case ds_d13p of _ { () -> kolakoski1 }
此版本包含几个顶级CAFs,它们在程序的生命周期内保留。因此,您确实生成了最多500,000,000个值的列表并保存。
现在,那里发生了什么?函数内部的东西向外浮动。让我们再次检查标志参考。这是一个有希望的旗帜,由-O
暗示:
-ffull-laziness
打开完全懒惰(向外浮动绑定)。 隐含-O
。
这就是导致你出现问题的旗帜。实际上,您可以使用ghc --make -O -fno-full-laziness Kolakoski-Unit.hs
来获取原始内存消耗:
$ ghc --make Kolakoski-Unit.hs -O -fno-full-laziness && ./Kolakoski-Unit +RTS -s 2 192,001,417,688 bytes allocated in the heap 637,962,464 bytes copied during GC 66,104 bytes maximum residency (151 sample(s)) 43,448 bytes maximum slop 2 MB total memory in use (0 MB lost due to fragmentation) Tot time (elapsed) Avg pause Max pause Gen 0 368364 colls, 0 par 1.34s 1.32s 0.0000s 0.0002s Gen 1 151 colls, 0 par 0.00s 0.01s 0.0001s 0.0003s INIT time 0.00s ( 0.00s elapsed) MUT time 27.89s ( 28.13s elapsed) GC time 1.34s ( 1.33s elapsed) EXIT time 0.00s ( 0.00s elapsed) Total time 29.25s ( 29.46s elapsed) %GC time 4.6% (4.5% elapsed) Alloc rate 6,884,084,443 bytes per MUT second Productivity 95.4% of total user, 94.7% of total elapsed