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# 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)

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