圆周率近似问题

wayne

$\sqrt{10}-\frac{29}{6^4+85+3*7}$

$\sqrt{10}-\frac{58+3}{7^4+2^9+6^2}$

wayne

$\sqrt{17}-1+\frac{11}{595}  =3.1415930205756437431$
$\sqrt{20}-\frac{4}{3}+\frac{1}{358} = 3.1415959177556315343$
$\sqrt{20}-\frac{4}{3}+\frac{7}{2509} =3.1415925778240778650$
$\sqrt{22}-\frac{3}{2}-\frac{27}{553}= 3.1415911666950389578$
$\sqrt{27}-2-\frac{3}{55} = 3.1416069681611773351$
$\sqrt{29}-\sqrt{5}-\frac{4}{533} = 3.1415921392031946350$
$\sqrt{29}-\sqrt{5}-\frac{27}{3598} =3.1415926606519461303$
$\sqrt{31}-\sqrt{6}+\frac{61}{2616}  =3.1415926628602994814$
$\sqrt{40}-\sqrt{10}-\frac{61}{2949} =3.1415926822097492879$
$\sqrt{51}-4+\frac{5}{30446} = 3.1415926537284244577$
$\sqrt{53}-\sqrt{17}-\frac{9}{584}= 3.1415933047587481322$
$\sqrt{53}-\sqrt{17}-\frac{79}{5126} =3.1415926366632478890$
$\sqrt{57}-3-\sqrt{2}+\frac{9}{1507}= 3.1415930029573759490$
$\sqrt{58}-\sqrt{20}-\frac{1}{489}= 3.1415921610892777681$
$\sqrt{58}-\sqrt{20}-\frac{17}{8315} =3.1415926529689590793$
$\sqrt{60}-\sqrt{21}-\frac{8}{367}= 3.1415926323363779600$
$\sqrt{62}-\sqrt{9}-\sqrt{3}-\frac{1}{2744}= 3.1415926349560532597$
$\sqrt{63}-\sqrt{23}+\frac{1}{5874} =3.1415926516243276810$
$\sqrt{68}-\sqrt{26}-\frac{5}{893} =3.1415926334991992035$
$\sqrt{79}-\sqrt{33}-\frac{2}{981} =3.1415930347938700781$
$\sqrt{79}-\sqrt{33}-\frac{5}{2452} =3.1415926190646727514$
$\sqrt{82}-\sqrt{35}+\frac{5}{2186} =3.1415926377459433104$
$\sqrt{82}-\sqrt{12}-\sqrt{6}-\frac{1}{4972} =3.1415926539091629437$
$\sqrt{89}-\sqrt{8}-\sqrt{12}+\frac{1}{7130} =3.1415926446270770790$
$\sqrt{92}-\sqrt{16}-\sqrt{6}-\frac{5}{8611} =3.1415926511886783581$
$\sqrt{94}-\sqrt{43}+\frac{3}{817}  =3.1415931611548923819$
$\sqrt{97}-\sqrt{45}+\frac{5}{5326} =3.1415926601341370595$
$\sqrt{97}-\sqrt{28}-\sqrt{2}-\frac{5}{3228}= 3.1415926705775955304$
$\sqrt{97}-\sqrt{20}-\sqrt{5}+\frac{5}{5326}= 3.1415926601341370595$
$\sqrt{99}-\sqrt{19}-\sqrt{6}+\frac{1}{9349}= 3.1415926480539320236$
$10-\sqrt{47}-\frac{7}{2543}  =   3.1415927452536943729$
$\sqrt{112}-\sqrt{23}-\sqrt{7}+\frac{1}{5874} =3.1415926516243276810$
$\sqrt{117}-\sqrt{19}-\sqrt{11}+\frac{1}{2162}= 3.1415926271859962356$
$\sqrt{129}-\sqrt{24}-\sqrt{11}-\frac{2}{3227} =3.1415926449939445695$
$\sqrt{130}-\sqrt{23}-\sqrt{12}-\frac{1}{4377} =3.1415926455543852149$
$\sqrt{138}-\sqrt{25}-\sqrt{13}-\frac{1}{5097} =3.1415926551672278546$
$\sqrt{137}-\sqrt{15}-\sqrt{22}+\frac{2}{6853}= 3.1415926476772508713$
$\sqrt{140}-\sqrt{16}-\sqrt{22}-\frac{1}{6616}= 3.1415926576454518655$
$\sqrt{141}-\sqrt{49}-\sqrt{3}-\frac{2}{2863} =3.1415927115333081912$
$\sqrt{146}-\sqrt{19}-\sqrt{21}+\frac{2}{93815}= 3.1415926536505287967$
$\sqrt{154}-\sqrt{20}-\sqrt{23}-\frac{2}{17619}= 3.1415926538582500393$
$\sqrt{167}-\sqrt{70}-\sqrt{2}-\frac{1}{2265} =3.1415926545024821809$
$\sqrt{177}-\sqrt{10}-\sqrt{49}-\frac{2}{7565}= 3.1415926600686048101$

无心人

好厉害

11#第二个违反规则
第一个结果是
(21:57) gp > sqrt(10) - 29 / (6^4 + 85 + 3*7)
%1 = 3.141592924077081186492474144

wayne

$6-\root{3}{3}-\sqrt{2}-\frac{3}{1543}=3.1415926028995354542$
$\sqrt{60}-\root{3}{3}-\sqrt{10}+\frac{1}{6528}= 3.1415926482135558600$
$\sqrt{80}-\root{3}{3}-\sqrt{19}-\frac{11}{7186}= 3.1415926419067128099$
$\sqrt{82}-\root{3}{3}-\sqrt{20}+\frac{4}{6745}= 3.1415926447058921576$
$\sqrt{86}-\root{3}{3}-\sqrt{22}+\frac{4}{6255}= 3.1415926537741383976$
$\sqrt{119}-\root{3}{3}-\sqrt{40}-\frac{1}{3179}= 3.1415926596631422063$
$\sqrt{130}-\root{3}{2}-7-\frac{1}{4157}=  3.1415926430017267373$
$\sqrt{146}-\root{3}{2}-\sqrt{59}-\frac{1}{2587}=  3.1415926277058491352$
$\sqrt{187}-\root{3}{2}-\sqrt{86}+\frac{3}{8879}= 3.1415926616736904445$
$\sqrt{74}-\root{3}{4}-\sqrt{15}-\frac{1}{2872}= 3.1415926794519686291$
$\sqrt{89}-\root{3}{5}-\sqrt{21}+\frac{1}{6129}= 3.1415926491775339389$
$\sqrt{78}-\root{3}{6}-\sqrt{15}-\frac{2}{31117}= 3.1415926537400690811$
$\sqrt{107}-\root{3}{6}-\sqrt{29}-\frac{1}{4941}= 3.1415926446414265226$
$\sqrt{75}-\root{3}{7}-\sqrt{13}-\frac{1}{5589}= 3.1415926567237711794$
$\sqrt{94}-\root{3}{9}-\sqrt{20}-\frac{7}{4524}= 3.1415926335097333183$
$\sqrt{158}-\root{3}{9}-\sqrt{54}+\frac{1}{2936}= 3.1415926380301371785$
$\sqrt{60}-\root{3}{10}-\sqrt{6}-\frac{1}{2224}= 3.1415926193120021662$
$\sqrt{66}-\root{3}{10}-\sqrt{8}+\frac{2}{4807}= 3.1415926497705139594$
$\sqrt{106}-\root{3}{10}-5+\frac{3}{7553}= 3.1415926441233940997$
$\sqrt{70}-\root{3}{11}-3-\frac{1}{973}= 3.1415924255422518805$
$\sqrt{117}-\root{3}{12}-\sqrt{29}-\frac{3}{6412}= 3.1415926614121850158$
$\sqrt{119}-\root{3}{12}-\sqrt{30}-\frac{3}{6446}= 3.1415926495751245708$
$\sqrt{108}-\root{3}{13}-\sqrt{24}-\frac{2}{5025}= 3.1415926621759013191$
$\sqrt{134}-\root{3}{13}-\sqrt{37}-\frac{1}{6801}= 3.1415926475708365909$
$\sqrt{148}-\root{3}{15}-\sqrt{43}-\frac{2}{7097}= 3.1415926527488072884$
$\sqrt{83}-\root{5}-\sqrt{3}{52}-\frac{1}{3820}= 3.1415926647225489007$

无心人

12#重复的多啊

看来突破到3.14156265不容易啊

wayne

这些都是根据密率得来的公式
根据这些原型,应该有机会凑出答案的

wayne

还有分数形式的
等我有时间在整理,然后再拼凑答案

winxos

15# 无心人
无心人版主这个题目挺有意思的。

winxos

17# wayne
wayne工作完成了么^_^

winxos

14# wayne
wayne提供了一个非常好的思路，适当的调一调参数估计会比较接近。