mdbtxt1
mdbtxt2
Proceed to Safety

# 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: 0.139 expressions: 59477 75010 134487 distinct: 36758 29145 65903 Memory: 4672KiB Total equations tested: 1071311910 (1.071e+09)

For a more thorough search and many runtime options,

get the RIES source code and compile your own!

More serious mathematical users might prefer

This page was written in the "embarrassingly readable" markup language RHTF, and was last updated on 2013 Feb 09. s.27