3.1415 - RIES (RILYBOT Inverse Equation Solver)

RIES command: ./ries --wide -l1 -s 3.1415 Your target value: T = 3.1415 mrob.com/ries

equation	root of equation	distance from your target	accurate to within	complexity
x = pi	x = 3.14159265358979	= T + 9.26536e-05	1 part in 33906	29
x = 1/-(e^9)+pi	x = 3.14146924378571	= T - 3.07562e-05	1 part in 102142	79
x = pi-1/pi^8	x = 3.14148726319814	= T - 1.27368e-05	1 part in 246647	87
x = (log_phi(3))/2+2	x = 3.14150591429464	= T + 5.91429e-06	1 part in 531171	92
x = (3-1/6)+atan2(1,pi)	x = 3.14150240444932	= T + 2.40445e-06	1 part in 1306536	97
x = sqrt(1/e+6)+1/phi	x = 3.14149974860705	= T - 2.51393e-07	1 part in 12496373	98
x = (e-1/3)^2-8/pi	x = 3.14150023493207	= T + 2.34932e-07	1 part in 13371950	110
x = cospi(ln(sqrt(2)))+atan2(1,-2)	x = 3.14150019299699	= T + 1.92997e-07	1 part in 16277456	106
sinpi(sinpi(x-pi)) = 1/(1-e^7)	x = 3.14150017628719	= T + 1.76287e-07	1 part in 17820353	113
x = pi-(3/e^9)/4	x = 3.14150009623673	= T + 9.62367e-08	1 part in 32643462	114
sinpi(pi-x) = 1/e^(5+pi)	x = 3.14149997031506	= T - 2.96849e-08	1 part in 1.058e+08	108
x = piⁿ√(sqrt(2)+1/pi^2)+2	x = 3.14149998559554	= T - 1.44045e-08	1 part in 2.181e+08	109

Legend and Statistics: atan2(y,x) = Angle of ray from origin through point (y,x) pi = 3.14159... log_A(B) = logarithm to base A of B = ln(B) / ln(A) cospi(X) = cos(pi * x) e = base of natural logarithms, 2.71828... sinpi(X) = sin(pi * x) ln(x) = natural logarithm or log base e sqrt(x) = square root phi = the golden ratio, (1+sqrt(5))/2 Aⁿ√B = Ath root of B --LHS-- --RHS-- -Total- max complexity: 62 56 118 dead-ends: 799156 1210832 2009988 Time: 0.132 expressions: 54666 75060 129726 distinct: 33066 29181 62247 Memory: 4416KiB Total equations tested: 964898946 (9.649e+08)

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This page was written in the "embarrassingly readable" markup language RHTF, and was last updated on 2013 Feb 09.

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