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3.869809801979284e-08 -24.623162098280734 -24623162.098280735 2.0 3.8698098019792816e-08 sin(x0)

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27.015303509762383 4.755704985239505 4755704.985239505 3.0 27.01530350976237 1/x0
3.8490145443977394e-08 -24.630935636380688 -24630935.636380687 6.754887502163468 3.8490145443977394e-08 0.000000000000+((x0-1))**(-1)

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26.52341213583394 4.729194479492894 4729194.479492894 0.0 26.52341213583394 0
22.516263519038066 4.492895532882613 4492895.532882612 6.321928094887363 22.516263519038066 0.1*x0
22.35215520829344 4.482342038529134 4482342.038529133 11.584962500721156 22.352155208293457 2*x0*exp(-3)
21.765293633202937 4.442258566416072 4442258.566416072 16.720671786825555 21.739676488086655 asin(0.1*x0 - 0.01)
21.11880720719005 4.400456448292662 4400456.448292661 22.83845916493269 21.11880720719004 asin(x0/pi**2 - 0.01)
21.088909897780603 4.398412617913137 4398412.617913137 25.416665599935456 21.088909897780603 asin(0.1*x0 - 1.0*exp(1 - 2*pi))
21.072971868776285 4.397321883081677 4397321.883081677 25.651484454403228 21.07297186877628 tan(x0*log(log(3))*sin(log(x0 + 1)/2 + 1))
19.31414652315343 4.27158602231386 4271586.02231386 27.00162810065661 19.314146523153543 asin(0.1*x0 - log(2) + log(log(1 + 2*pi)))
18.008155737063543 4.170578533475639 4170578.533475639 51.61544621886562 18.008155737063547 asin(0.1*x0 - 0.00673794699908547)

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7.981114772196693e-08 -23.578834488341045 -23578834.488341045 24.779565475879124 7.981114772196695e-08 sqrt(2)*exp(-0.5*x0**2)/(2*sqrt(pi))
7.981064652253219e-08 -23.578843548230925 -23578843.548230924 29.67970000576925 7.98106465225322e-08 sqrt(2)*exp(-1.0*x0**2.0)**0.5/(2*sqrt(pi))

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21.438434911857406 4.422127682244653 4422127.682244654 25.97341254929059 21.438434911857414 exp(x0*x1*sqrt(log(log(4*pi))))
21.345018318999095 4.415827495641937 4415827.4956419375 26.236446955124386 21.34501831899909 exp(x0*x1*log(1 + 2*pi)/2)
21.312185843725555 4.413606662863952 4413606.662863952 54.4674384247163 21.31218584372553 exp(0.972955074527657*x0*x1)

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prior-art/results/solution_II.11.3 Normal file
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27.39589624365616 4.775887896382246 4775887.896382246 1.0 27.395896243656154 1
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24.541452353081525 4.617148724515219 4617148.724515218 7.339850002884624 24.54145235308151 x0**2 + 1.0
2.1972568894135705e-07 -22.117793113787034 -22117793.113787033 9.339850002884624 2.1972568894135703e-07 (1 - x0**2)**(-1.0)
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26.416902333933454 4.723389399871772 4723389.399871772 0.0 26.416902333933454 x0
25.3256838054465 4.662529317888433 4662529.317888433 6.754887502163468 25.3256838054465 (x0)*(exp((x1/x2)**3))
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28.654323534574495 4.835600391337545 4835600.391337545 0.0 28.55359299998566 asin(-666.000000000000*sin(pi))
6.099500490531156 4.834770389511966 4834770.389511965 4.754887502163468 28.537170459100448 acos(0.000000000000+cos(cos(x0)))
23.84319730380234 4.575505804892507 4575505.804892507 9.0 23.84319730380235 -asin(cos(x0))
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27.647022713315675 4.789052220989075 4789052.220989075 0.0 27.647022713315675 (0)*(asin(-1.000000000000+cos((x1*sin(pi)))))
26.851257452478915 4.746917746523634 4746917.746523634 3.0 26.85125745247892 x0 - 1
6.772554077576063e-07 -20.493796656088517 -20493796.656088516 10.0 6.772554077576063e-07 0.000000000000+((x0-1)/x1)

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25.725061304488595 4.6851026100465 4685102.6100465 13.868050853745158 25.725061304488584 0.224719101123595/x0
22.390461830017472 4.484812380693082 4484812.380693082 14.584962500721156 22.390461830017507 0.0833333333333333*x0/(x0 - 1)
8.244516940322618e-08 -23.531989792812396 -23531989.792812396 16.0 8.24451694032262e-08 x0/(4*pi*(x0 - 1))

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30.459303245022873 4.928811035516009 4928811.03551601 0.0 30.45930324502286 0
28.882093735158097 4.85210342547258 4852103.42547258 2.0 28.882093735158097 log(x0)
1.9438714084547796e-07 -22.294563879692067 -22294563.879692066 4.0 1.9438714084547778e-07 x0/2

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1.99341380059708e-05 -15.614399252918906 -15614399.252918907 8.339850002884624 1.9934138005970806e-05 2*pi*x0*x1

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25.31926820387718 4.662163802422402 4662163.8024224015 12.60964047443681 25.31926820387718 asin(x0*exp(-x1))
25.284729122683824 4.660194417728512 4660194.417728512 17.509775004326936 25.284729122683824 asin(x0/(exp(x1) + 1))
24.731971558005636 4.628305346486737 4628305.346486737 25.0 24.731971558005647 asin(sin(x0/(exp(x1) + cos(x1))))
24.73196283201209 4.605959594935965 4605959.594935965 44.743039599854946 24.35185206993002 asin(0.000000008775+sin((x0/(exp(x1)+cos(x1)))))
25.691184139593112 4.6037976289129565 4603797.628912956 120.66823055601029 24.31538667221195 asin(sin(x0*(exp(x1) + cos(x1))**(-1.016446352005)) - 0.0207812879234552)
26.990142594232438 4.557701468518747 4557701.468518747 199.95233207155312 23.550756020717426 ((x0*(exp(x1) + cos(x1))**(-0.994144976139069))**0.304960429668427 + 0.0318155214190483)**1.95718157291412
23.433957987159474 4.550528740347353 4550528.740347353 247.49648716348534 23.43395798715948 0.19288704556216013*(0.06816739544620876*x0**2 + x0*x1*log(log(pi)) - 0.8872020666474496*x0 - 0.03642442424006058*x1**2 + 0.42211562108625245*x1 - 1)**2
23.217882186039752 4.537164477984867 4537164.477984867 247.99825724455658 23.21788218603975 0.19288704556216013*(0.06816739544620876*x0**2 + 0.14942362847602014*x0*x1 - 0.8872020666474496*x0 - 0.03642442424006058*x1**2 + pi*x1*log(log(pi)) - 1)**2
23.201907704524313 4.536171526218943 4536171.526218942 248.926632738039 23.20190770452431 0.19288704556216013*(0.06816739544620876*x0**2 + 0.14942362847602014*x0*x1 - sqrt(pi)*x0/2 - 0.03642442424006058*x1**2 + 0.42211562108625245*x1 - 1)**2
23.086811364318827 4.528997023887213 4528997.023887212 249.49648716348534 23.086811364318827 0.19288704556216013*(-0.06816739544620876*x0**2 + x0*x1*(1 - log(pi)) + 0.8872020666474496*x0 + 0.03642442424006058*x1**2 - 0.42211562108625245*x1 + 1)**2
23.050546317717448 4.526729039057007 4526729.039057007 256.06161725630693 23.050546317717437 (0.06816739544620876*x0**2 + 0.14942362847602014*x0*x1 - 0.8872020666474496*x0 - 0.03642442424006058*x1**2 + 0.42211562108625245*x1 - 1)**2*log(log(2) + log(pi))/pi
22.95314348929238 4.520619842681248 4520619.842681249 261.0059797685666 22.953143489292366 (0.06816739544620876*x0**2 + 0.14942362847602014*x0*x1 - 0.8872020666474496*x0 - 0.03642442424006058*x1**2 + 0.42211562108625245*x1 - 1)**2*exp(-sqrt(pi))*log(pi)
26.976561099205153 4.513216735201908 4513216.735201908 294.39710052772324 22.83566242154156 0.99098555264132*((x0*(0.983863716837616*exp(x1) + 1)**(-0.97031956911087))**0.293504804372787 + 0.0468885319131299)**1.9545316696167

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30.000000001343675 4.9068905956731355 4906890.5956731355 0.0 30.000000001343675 x0
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29.20416081803319 4.86810202440029 4868102.02440029 0.0 29.204160818033195 x1
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3.132865116530134e-06 -18.284085912574707 -18284085.91257471 5.754887502163468 3.132865116530135e-06 x1/x0
3.132865116530134e-06 -18.284085912574707 -18284085.91257471 10.0 3.132865116530134e-06 1.000000000000*(x1/x0)

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prior-art/results/solution_II.6.11 Normal file
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24.91363115902248 4.63886340443597 4638863.40443597 0.0 24.91363115902248 -8.915072558055073e-11
24.91363113734539 4.638863403180696 4638863.403180696 10.754887502163468 24.913631137345384 -pi*exp(-exp(pi))
20.52143209643687 4.359059508402251 4359059.508402252 12.584962500721156 20.521432096436865 asin(0.0833333333333333*cos(x0))
12.27445776778958 3.617587388836739 3617587.388836739 17.60964047443681 12.274457767789572 asin(cos(x0)/(4*pi))
11.607229189021997 3.53695171632929 3536951.71632929 28.236446955124386 11.607229189021998 asin(pi*sin(cos(x0)/pi**2)/4)
11.577529861964756 3.5332555730823176 3533255.5730823176 69.39500893210585 11.577529861964752 asin(0.785437643527985*sin(cos(x0)/pi**2))
11.577405736751007 3.533240105552333 3533240.105552333 100.97220344060344 11.577405736750997 asin(0.785437643527985*sin(0.1013211780033*cos(x0)))

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28.495761948727154 4.832675464333084 4832675.464333084 0.0 28.495761948727154 0
27.380642712447607 4.775084406610207 4775084.406610208 2.0 27.380642712447603 log(log(pi))
27.054294104422542 4.757785694169851 4757785.694169851 6.321928094887362 27.05429410442252 4*exp(-3)
25.30155195820018 4.661153975211263 4661153.975211264 7.339850002884624 25.30155195820018 0.333333333333333*x0*x2
25.276008725588675 4.659696763845128 4659696.763845128 11.0 25.276008725588685 x0*x2/pi
23.272252622734875 4.540538957128693 4540538.957128693 15.194602975157967 23.27225262273488 0.166666666666667*x2*(x0 + x1)
21.63601106924245 4.435362635591665 4435362.635591665 29.0 21.63601106924245 x2*(x0 + x1)*exp(-sqrt(pi))
21.588377090562414 4.4321828875112645 4432182.8875112645 29.558375050011747 21.588377090562417 2*x2*(x0 + x1)*log(pi)/(1 + 4*pi)
21.18709874287426 4.405114140557128 4405114.140557128 55.550160087467745 21.18709874287426 0.168816319869*(x2*(x1+x0))

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29.667577204241404 4.890815209162709 4890815.209162709 0.0 29.667577204241386 x1
29.664692327032483 4.843528401367819 4843528.401367819 5.754887502163468 28.710934848338415 1/(0.000000000000+(x0/x1))
27.509606914525047 4.781863619982525 4781863.619982526 9.92481250360578 27.50960691452505 (x1**2 + 2)**0.5
26.449356617926124 4.725160724016205 4725160.724016205 12.584962500721156 26.449356617926107 (x0 + x1**2 + 1)**0.5
2.6825572107565247e-07 -21.82988772462039 -21829887.72462039 14.169925001442312 2.6825572107565247e-07 (x0**2 + x1**2 + 1)**0.5

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28.807896330713724 4.848392407795539 4848392.407795539 0.0 28.807896330713724 0
27.53380966358232 4.783132334406948 4783132.334406948 4.0 27.533809663582314 0.750000000000000
24.402752218093024 4.608971963473757 4608971.963473757 5.584962500721156 24.402752218093024 0.166666666666667*x0
23.233134691280316 4.538111915347569 4538111.915347569 8.339850002884624 23.233134691280316 sin(0.166666666666667*x0)
21.250729216232127 4.409440442894942 4409440.442894942 8.965784284662087 21.250729216232127 0.16*x0
1.5306884709397791e-06 -19.31738787705657 -19317387.877056573 9.754887502163468 1.5306884709397796e-06 x0/(2*pi)

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36.57060766285735 4.550247640408479 4550247.640408479 0.0 23.429392474512944 8.91505505199440e-11
0.0003960505387426254 -11.302027839797272 -11302027.839797273 6.321928094887362 0.00039605053874262544 4*pi*x0

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30.85970357081458 4.878360910171662 4878360.910171662 0.0 29.412569313163143 asin(0.000000000000*sqrt(exp(((x0+1))**(-1))))
29.210279221326296 4.868404243855462 4868404.243855462 3.0 29.21027922132631 1.50000000000000
28.35236907597377 4.825397384247454 4825397.384247454 4.584962500721156 28.35236907597379 2/x0
27.81822835451622 4.797958637501465 4797958.637501465 6.0 27.818228354516222 1.5/x0
7.268884829473797e-07 -20.391762617039728 -20391762.61703973 10.0 7.268884829473792e-07 exp(1/x0) - 1

6
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32.651368992645196 5.029071576628298 5029071.5766282985 0.0 32.65136899264519 0
nan nan nan 5.754887502163468 nan acos(-x0)
29.570858703869007 4.886104233165548 4886104.233165548 6.754887502163468 29.570858703869007 acos(1 - x0)
28.17969118815505 4.8165838966073595 4816583.89660736 11.807354922057604 28.17969118815505 6*x0/x1
6.643797122366517e-06 -17.199560550061296 -17199560.550061297 12.584962500721156 6.6437971223665156e-06 2*pi*x0/x1
6.643797122366517e-06 -17.19959045660223 -17199590.45660223 58.15848945789539 6.643659400307738e-06 6.283185307179586*x0/x1

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31.225739937707367 4.964663853808277 4964663.853808277 0.0 31.22573993770736 0
31.257799461003707 4.908431509806649 4908431.509806649 1.0 30.032059527985425 1/(1.000000000000*(x0-(x0+1)))
31.243574989647236 4.868332410905311 4868332.410905311 14.60964047443681 29.208824854162387 1/(-1.000000000000*(x0-log(x0)))
1.7431741319824306e-07 -22.45177997151243 -22451779.97151243 16.509775004326936 1.7431741319824306e-07 0.000000000000+(x0*((x1*cos(x2))+1))

2
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24.081314741250495 4.589842254381291 4589842.254381292 0.0 24.081314741250495 0
5.647234375079581e-09 -27.39980834578584 -27399808.345785838 13.584962500721156 5.6472343750795805e-09 -0.125/x0**2

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26.290737189268583 4.716482690414682 4716482.690414682 0.0 26.290737189268583 x0
22.658898217944188 4.502005807142314 4502005.8071423145 11.643856189774725 22.658898217944188 x0 - 0.07
22.658481533490033 4.501979276544167 4501979.276544167 16.965784284662085 22.658481533490022 (x0*(x0 - 0.16))**0.5
22.548084074885335 4.494932946856186 4494932.946856186 26.416665599935456 22.548084074885317 (x0*(x0 + log(log((2 + 4*pi)**(1/pi)))))**0.5
19.11349123138255 4.256519417010686 4256519.417010686 29.80424344959478 19.11349123138255 (x0**2 - 0.16*x0 + 0.01)**0.5
18.032683218363186 4.172542177060247 4172542.1770602474 35.64548429043134 18.03268321836319 (x0**2 + x0*log(log((2 + 4*pi)**(1/pi))) + 0.01)**0.5
17.157005285884946 4.100725850740927 4100725.8507409273 66.69395636388344 17.157005285884953 (x0**2 - 0.1591549430918953*x0 + 0.01)**0.5

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32.84659416339962 4.913686532069664 4913686.532069664 0.0 30.141650893217463 tan(-666.000000000000*sin(pi))
32.84182393413422 4.849625676726862 4849625.676726862 21.724214059872214 28.832532911636633 0.0731742799056452
28.374965935007765 4.826546755293563 4826546.755293563 35.98584193700334 28.374965935007765 (12 - 12*cos(x1 - x2))/(x0*(x1 - x2)**2)
0.0015229204525354075 -9.35894369787947 -9358943.697879469 38.43621560858933 0.0015229204525354064 -4*pi*(cos(x1 - x2) - 1)/(x0*(x1 - x2)**2)