For a 32 rounds table with 1024*1024*1024 start values:
1  1073741823
2  1023438982
3  976087268
4  932768763
5  893795050
6  857258423
7  824594686
8  793842630
9  764984529
10 742264968
11 717542086
12 693794500
13 671348674
14 653519282
15 633911863
16 615705741
17 600811372
18 584022929
19 567966279
20 553038610
21 541126688
22 527714176
23 514813648
24 504121909
25 492442040
26 480922764
27 469931269
28 461146395
29 451036696
30 441442433
31 433670029
32 ?
33 ?

sum: 20.5 Grounds
(instead of 30 Grounds)

first column is the round number starting at 1, the second is
the number of chains *before* that round.
After the last round the chains were written unsorted (and no chain count 
printed there),
then the final sorter purged some more (numbers lost), you have to interpolate.
I could also do a 270M table in between to find its values.

I also have stats for 8 rounds table, 1Gchains at the start
1 1073741824
2 1022078072
3 975558741
4 932155936
5 893248017
6 856191164
7 822026508
8 791037697
9 ?

sum 7.3 Grounds instead of 8

On Mon, Jan 11, 2010 at 10:48:26PM +0100, Frank A. Stevenson wrote:
> Some news, and a question to consider.
> 
> I managed to speed up the ATI chain generation by somewhere close to
> 30%. Currently a single 5850 card can calculate ~650 chains pr second,
> meaning my dual card setup can complete a table in less than 2.5 days.
> 
> I did this by unrolling my loop a little, and rather than shifting the
> output, I use indexed writes to cached memory. Since ALU clauses are run
> in parallel with memory fetches in the GPU threading engine this is
> almost a pure gain.
> 
> I still have some more tricks up my sleeves, but first a question for
> Karsten or whoever would like to do the maths:
> 
> I am thinking about "merge free table generations", and the procedure
> goes like this:
> 
> Start with 270M points, and calculate the first round only and write to
> disk. Then read that output, and bucket sort the DP1s, eliminating any
> merges. For non merges, calculate the second round and write to disk.
> Repeat this for every 32 rounds, keeping fewer and fewer chains, and you
> will have produced a table containing only merges from the 32nd round.
> 
> Clearly this is faster, as disk access is much quicker than calculating
> the rounds, but the real question is how much work can you eliminate
> this way ? What speedup will you get ?
> 
> f
> 
> 
> 
> 
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