20210818, 09:23  #3015 
Aug 2020
79*6581e4;3*2539e3
13×31 Posts 
Rootopt did increase the score:
Code:
skew: 1860098.552 c0: 3427420519132645353382556907201718624117659312 c1: 52709839966423296709910539950475485051020 c2: 249681704899452712763350090243160 c3: 42123095563723982267747196055 c4: 880184122151042174607 c5: 5049619263096960 c6: 79732800 Y0: 423246853258132204806966803542792143 Y1: 2073030540718482278351646889 # MurphyE (Bf=3.436e+10,Bg=1.718e+10,area=8.590e+17) = 1.579e09 Range 1e62e6 with P=10e6, nq=6^6, incr=420, keep=200, ropteffort=50, sopteffort=0. On a 10core it took 4 days, so repeating with nq=6^7 is not really feasible for me, but maybe it would be interesting to compare results if someone has the hardware to do it faster? Also the influence of P would be interesting. I think keep=200 doesn't make sense, it'd probably be better to halve the value and maybe double ropteffort? Rootopt took less than 4 hours on the 200 polys with ropteffort 50, not much compared to the overall time of 95 hours. Would it be worthwhile to redo rootopt with higher effort on that specific poly? And how should I continue, range 2e63e6 with the same settings (just smaller keep)? From the screenlog (if of interest): Code:
(size optimized): Aggregate statistics: (size optimized): potential collisions: 203998 (size optimized): raw lognorm (nr/min/av/max/std): 206980/65.780/77.170/78.620/0.998 (size optimized): optimized lognorm (nr/min/av/max/std): 193466/60.280/65.563/70.410/0.895 (size optimized): Total time: 3.13783e+06 [...] (root optimized): Best overall polynomial was 0th in list after size optimization (root optimized): Aggregate statistics: (root optimized): Total time: 120654 (root optimized): Rootsieve time: 120652 
20210818, 11:56  #3016  
Jun 2012
5×641 Posts 
Quote:
You’ve found a very good value in an early search  suggesting P=10M is perfectly fine. I’m rerunning my job above with P=20M right now, and I should get results in a few days. Maybe that will shed more light on the effect of P. In my past testing I’ve had higher escores with lower P! I suspect CADO “tries harder” with higher P but internal time limits cloud the results(?) I have never found a best poly that was worse than 8th on the list, so nrkeep=50 works for me. Tried a lot of experimentation last year or two and this has always held true though one cannot prove a negative. Others may have counter examples. Also found higher incr values does not preclude good escores, and as you climb up the ad range the time to complete a search become unwieldy. You may want to move to the next range and try incr of 840 or even 1680 (with adrange =4x). But that’s just my two cents. One last note  sopteffort has a minor effect on the total runtime and has the potential for bigger payoff. Using a value of 10 in my runs. I believe CADO uses 1+ the input value. 

20210818, 12:30  #3017  
Apr 2020
5·101 Posts 
Quote:
Quote:
The very best polynomials in the entire search will be either exceptionally good stage1/sizeopt hits that get at least an average boost from rootopt, or okay sizeopt hits  possibly down as low as 200th over the whole search, hence the default CADO nrkeep value  that get an exceptionally good rootopt hit. If you're running a small range, setting nrkeep=6 or 12 might cause you to miss the best possible poly from your range, but since such a poly would not even be an "okay" sizeopt hit by the above definition, it would be extremely unlikely to be one of the top scoring polys in the whole search. 

20210818, 12:40  #3018  
Aug 2020
79*6581e4;3*2539e3
13×31 Posts 
To not make things too mixed up, I'll reserve 5e6 to 10e6, if that isn't too much (depends how ETA scales with range). VBCurtis had 01e6 and 2e65e6 and swellman 40e641e6. Does anyone keep track of the ranges?
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So I'll test 5e66e6 next with adrange=1680,incr=420,nq=6^6,sopteffort=10,keep=50,ropteffort=200 next. If too slow, I'll try incr=840. Last fiddled with by bur on 20210818 at 13:11 

20210818, 13:36  #3019 
Jun 2012
5×641 Posts 
For the record, I am also repeating the range 4041e6 with nq=6^7 and P=10M. It will take a week to complete but it should be interesting to see what CADO spits out. Personally I’m not expecting a big improvement (if any) but willing to hope.
The search range reservations are easy enough to track within this thread, but perhaps a new thread should be started so that the input parameters and output escore can be recorded for later reference? Could be useful to future searchers. 
20210818, 14:31  #3020  
Apr 2010
270_{8} Posts 
Quote:
Code:
### rootoptimized polynomial 0 ### n: 5272066026958413205513021090082556639441277154855572268239336980532402881465013381219738819137405617219594641652778228990107677072837959240400905630530715435664638237254654768053674178165309345879869729405448588458952991 Y0: 423267925613578608179326248033418828 Y1: 2073030540718482278351646889 c0: 773074974413028422431926573350819467006568232 c1: 7270194150193898049263463138887225927755 c2: 1256823921278067033708319813403655 c3: 42082087970958626673016315435 c4: 1136954599732427366607 c5: 5054482166568960 c6: 79732800 skew: 1718787.677 # lognorm 62.43, E 52.81, alpha 9.62 (proj 2.47), 6 real roots # MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16)=3.423e16 ### Best MurphyE so far is 3.423e16, av. exp_E 53.32, av. E 52.81 

20210818, 14:38  #3021 
Jun 2012
C85_{16} Posts 
Nice! That makes it an arguably viable poly for the c220 but maybe better can be found?

20210818, 14:42  #3022  
"Curtis"
Feb 2005
Riverside, CA
5010_{10} Posts 
Quote:
I don't think adding more 2's to incr is very useful. If 420 is too slow, I'd skip to 2310. Glad to hear sizeopteffort doesn't add much time to the search; I guess I'll throw that in to my next range. I'll be done with 2e6 to 5e6 Thursday. Nice poly find, bur! 3.42e16 is serviceable. We'd like to beat it by 10% or so, and there's a reasonable chance we can do so. 

20210818, 15:26  #3023 
Apr 2020
5·101 Posts 

20210818, 17:18  #3024  
Aug 2020
79*6581e4;3*2539e3
13·31 Posts 
Quote:
The 5e66e6 range with identical settings has an ETA that makes it seem similar. Last fiddled with by bur on 20210818 at 17:18 

20210819, 15:36  #3025 
"Curtis"
Feb 2005
Riverside, CA
2·3·5·167 Posts 
My first decent hit:
Code:
n: 5272066026958413205513021090082556639441277154855572268239336980532402881465013381219738819137405617219594641652778228990107677072837959240400905630530715435664638237254654768053674178165309345879869729405448588458952991 skew: 244493.103 c0: 5668839593972764105835315556201456845921004 c1: 31798709872233758681019267015167174947 c2: 1033507213021369650910017558429451 c3: 481752321251275723176492791 c4: 20937797913410105835205 c5: 1865890162275696 c6: 81285120 Y0: 338922499431150849187274538075964740 Y1: 404346679164023626048993733 # MurphyE (Bf=1.718e+10,Bg=1.718e+10,area=3.221e+17) = 1.238e09 Edit: And another! Code:
n: 5272066026958413205513021090082556639441277154855572268239336980532402881465013381219738819137405617219594641652778228990107677072837959240400905630> skew: 1130398.647 c0: 1460970719324580302884397570964425573808852630 c1: 8446464120695272475513669260441719380443 c2: 5723620292044986192940398634388588 c3: 17612914952424667248800986219 c4: 13421101303146825222542 c5: 6930604474874388 c6: 379365840 Y0: 327885433653443790045728834604845926 Y1: 1080049699948936551530063521 # MurphyE (Bf=1.718e+10,Bg=1.718e+10,area=3.221e+17) = 1.254e09 I split 2e65e6 in half and ran on two machines. Each poly was the best from its run. So, between bur and I we have at least three 3.2's (before spin) from 1e65e6. We just need better luck, next. EDIT2: Taking 10e615e6 at incr=420. Last fiddled with by VBCurtis on 20210819 at 15:45 
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