Here's a comparison of both profiles (diff Test-GHC-7-8-4.prof Test-GHC-7-10-3.prof
)
1c1
< Fri Mar 11 19:58 2016 Time and Allocation Profiling Report (Final)
---
> Fri Mar 11 19:59 2016 Time and Allocation Profiling Report (Final)
5,6c5,6
< total time = 2.40 secs (2400 ticks @ 1000 us, 1 processor)
< total alloc = 256,066,744 bytes (excludes profiling overheads)
---
> total time = 10.89 secs (10895 ticks @ 1000 us, 1 processor)
> total alloc = 15,713,590,808 bytes (excludes profiling overheads)
10,13c10,12
< lenIterWhile.len Main 93.8 0.0
< collatzMax Main 2.2 93.7
< collatzNext Main 2.0 0.0
< lenIterWhile Main 1.5 6.2
---
> collatzNext Main 79.6 89.4
> lenIterWhile.len Main 18.9 8.8
> collatzMax Main 0.8 1.5
There's something very strange going on. While in GHC lenIterWhile.len
was taking most of the time, collatzNext
is now the culprit. Let's have a look at the dumped core:
-- GHC 7.8.4
Rec {
Main.$wlen [Occ=LoopBreaker]
:: GHC.Prim.Word# -> GHC.Prim.Int# -> GHC.Prim.Int#
[GblId, Arity=2, Caf=NoCafRefs, Str=DmdType <S,1*U><L,U>]
Main.$wlen =
(ww_s4Mn :: GHC.Prim.Word#) (ww1_s4Mr :: GHC.Prim.Int#) ->
case ww_s4Mn of wild_XQ {
__DEFAULT ->
case GHC.Prim.remWord# wild_XQ (__word 2) of _ [Occ=Dead] {
__DEFAULT ->
Main.$wlen
(GHC.Prim.quotWord#
(GHC.Prim.narrow32Word#
(GHC.Prim.plusWord#
(GHC.Prim.narrow32Word# (GHC.Prim.timesWord# (__word 3) wild_XQ))
(__word 1)))
(__word 2))
(GHC.Prim.+# ww1_s4Mr 1);
__word 0 ->
Main.$wlen
(GHC.Prim.quotWord# wild_XQ (__word 2)) (GHC.Prim.+# ww1_s4Mr 1)
};
__word 1 -> ww1_s4Mr
}
end Rec }
Seems more or less reasonable. Now about GHC 7.10.3:
Rec {
$wlen_r6Sy :: GHC.Prim.Word# -> GHC.Prim.Int# -> GHC.Prim.Int#
[GblId, Arity=2, Str=DmdType <S,U><L,U>]
$wlen_r6Sy =
(ww_s60s :: GHC.Prim.Word#) (ww1_s60w :: GHC.Prim.Int#) ->
case ww_s60s of wild_X1Z {
__DEFAULT ->
case even
@ Word32 GHC.Word.$fIntegralWord32 (GHC.Word.W32# wild_X1Z)
of _ [Occ=Dead] {
False ->
$wlen_r6Sy
(GHC.Prim.quotWord#
(GHC.Prim.narrow32Word#
(GHC.Prim.plusWord#
(GHC.Prim.narrow32Word# (GHC.Prim.timesWord# (__word 3) wild_X1Z))
(__word 1)))
(__word 2))
(GHC.Prim.+# ww1_s60w 1);
True ->
$wlen_r6Sy
(GHC.Prim.quotWord# wild_X1Z (__word 2)) (GHC.Prim.+# ww1_s60w 1)
};
__word 1 -> ww1_s60w
}
end Rec }
Allright, seems like it's the same. Except for the call of even
. Let's replace even
with one of the inline variants of Integral
, e.g. x rem
2 == 0
:
import Data.Word
import Data.List
import System.Environment
collatzNext :: Word32 -> Word32
collatzNext a = (if a `rem` 2 == 0 then a else 3*a+1) `div` 2
-- rest of code the same
Let's compile it again with profiling and check:
$ stack --resolver=ghc-7.10 ghc -- Test.hs -O2 -fforce-recomp -prof -fprof-auto -auto-all
$ ./Test +RTS -s -p -RTS
(329,837799)
416,119,240 bytes allocated in the heap
69,760 bytes copied during GC
59,368 bytes maximum residency (2 sample(s))
21,912 bytes maximum slop
1 MB total memory in use (0 MB lost due to fragmentation)
Tot time (elapsed) Avg pause Max pause
Gen 0 800 colls, 0 par 0.000s 0.002s 0.0000s 0.0001s
Gen 1 2 colls, 0 par 0.000s 0.000s 0.0002s 0.0003s
INIT time 0.000s ( 0.019s elapsed)
MUT time 2.500s ( 2.546s elapsed)
GC time 0.000s ( 0.003s elapsed)
RP time 0.000s ( 0.000s elapsed)
PROF time 0.000s ( 0.000s elapsed)
EXIT time 0.000s ( 0.000s elapsed)
Total time 2.500s ( 2.567s elapsed)
%GC time 0.0% (0.1% elapsed)
Alloc rate 166,447,696 bytes per MUT second
Productivity 100.0% of total user, 97.4% of total elapsed
$ cat Test.prof
Fri Mar 11 20:22 2016 Time and Allocation Profiling Report (Final)
Test.exe +RTS -s -p -RTS 1000000
total time = 2.54 secs (2535 ticks @ 1000 us, 1 processor)
total alloc = 256,066,984 bytes (excludes profiling overheads)
COST CENTRE MODULE %time %alloc
lenIterWhile.len Main 94.4 0.0
main Main 1.9 93.7
collatzNext Main 1.8 0.0
lenIterWhile Main 1.3 6.2
individual inherited
COST CENTRE MODULE no. entries %time %alloc %time %alloc
MAIN MAIN 44 0 0.0 0.0 100.0 100.0
main Main 89 0 1.9 93.7 100.0 100.0
main. Main 92 1000000 0.4 0.0 98.1 6.2
collatzLen Main 93 1000000 0.2 0.0 97.8 6.2
lenIterWhile Main 94 1000000 1.3 6.2 97.5 6.2
lenIterWhile.len Main 95 88826840 94.4 0.0 96.2 0.0
collatzNext Main 96 87826840 1.8 0.0 1.8 0.0
main.max_a0 Main 90 1 0.0 0.0 0.0 0.0
CAF GHC.IO.Encoding.CodePage 73 0 0.0 0.0 0.0 0.0
CAF System.Environment 64 0 0.0 0.0 0.0 0.0
CAF GHC.IO.Handle.Text 62 0 0.0 0.0 0.0 0.0
CAF GHC.IO.Encoding 61 0 0.0 0.0 0.0 0.0
Seems like that fixed it. So the problem is that GHC-7.8 inlines even
, while GHC-7.10 doesn't. This happens due to added {-# SPECIALISE even :: x -> x -> Bool #-}
rules for Int
and Integer
, which don't allow inlining.
As issue's discussion documents making even
and odd
{-# INLINEABLE ... #-}
would resolve this issue. Note that the specialisation itself was added for perfomance reasons.