0.405285 - RIES (RILYBOT Inverse Equation Solver)

RIES command: ./ries --wide -l1 -s 0.405285 Your target value: T = 0.405285 mrob.com/ries

equation	root of equation	distance from your target	accurate to within	complexity
tanpi(x) = pi	x = 0.401906738047706	= T - 0.00337826	1 part in 120	45
x = sqrt(1/6)	x = 0.408248290463863	= T + 0.00296329	1 part in 137	49
x = phi/4	x = 0.404508497187474	= T - 0.000776503	1 part in 522	54
x = sqrt(phi)/pi	x = 0.404896429860369	= T - 0.00038857	1 part in 1043	61
atan2(x,2) = 1/5	x = 0.405420071017345	= T + 0.000135071	1 part in 3001	61
x = 4*1/pi^2	x = 0.405284734569351	= T - 2.65431e-07	1 part in 1526896	65
cospi(x) = 5^-(atan2(3,pi))	x = 0.405284768182797	= T - 2.31817e-07	1 part in 1748296	96
cospi(log_5(x)) = phi/2-1	x = 0.405285180279558	= T + 1.8028e-07	1 part in 2248092	105
tanpi(1/x-2) = 5 ln(7)	x = 0.405285130436029	= T + 1.30436e-07	1 part in 3107155	108
x = sqrt(1/(atan2((1/phi),7)+6))	x = 0.405284933204782	= T - 6.67952e-08	1 part in 6067575	105
sinpi(xⁿ√x) = (e/(2+e))^2	x = 0.405284994977605	= T - 5.0224e-09	1 part in 80695564	113
x = 6^-((3ⁿ√5-1)^2)	x = 0.405285002032038	= T + 2.03204e-09	1 part in 1.994e+08	109
x = (1/9^7+2/pi)^2	x = 0.405285000772154	= T + 7.72154e-10	1 part in 5.249e+08	110

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 tanpi(X) = tan(pi * x) phi = the golden ratio, (1+sqrt(5))/2 sqrt(x) = square root Aⁿ√B = Ath root of B --LHS-- --RHS-- -Total- max complexity: 62 56 118 dead-ends: 862735 1210601 2073336 Time: 0.088 expressions: 59477 75010 134487 distinct: 36758 29145 65903 Memory: 4672KiB Total equations tested: 1071311910 (1.071e+09)

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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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