# 0.405285 - RIES (RILYBOT Inverse Equation Solver)

RIES command: ./ries --wide -l1 -s 0.405285 Your target value: T = 0.405285000000000006 www.mrob.com/ries

 equation root of equation distance from your target accurate to within complexity tanpi(x) = pi x = 0.40190673804770638 = T - 0.00337826 1 part in 120 45 x = sqrt(1/6) x = 0.408248290463863017 = T + 0.00296329 1 part in 137 49 x = phi/4 x = 0.404508497187473726 = T - 0.000776503 1 part in 522 54 x = sqrt(phi)/pi x = 0.404896429860368612 = T - 0.00038857 1 part in 1043 61 x = 4*1/pi^2 x = 0.405284734569351102 = T - 2.65431e-07 1 part in 1526896 65 cospi(log_5(x)) = phi/2-1 x = 0.405285180279558233 = T + 1.8028e-07 1 part in 2248092 105 tanpi(1/x-2) = 5 ln(7) x = 0.40528513043602904 = T + 1.30436e-07 1 part in 3107155 108 tanpi(log_6(x)) = 9^2-e x = 0.405284897653605147 = T - 1.02346e-07 1 part in 3959934 107 tanpi(x) = e^(sqrt(6)-1)-1 x = 0.405285082586860523 = T + 8.25869e-08 1 part in 4907379 101 sinpi(xⁿ√x) = (e/(2+e))^2 x = 0.405284994977604951 = T - 5.0224e-09 1 part in 80695564 113 x = 6^-((3ⁿ√5-1)^2) x = 0.405285002032038488 = T + 2.03204e-09 1 part in 1.994e+08 109 x = (((1/3)^7)^2+2/pi)^2 x = 0.405285000772154014 = T + 7.72154e-10 1 part in 5.249e+08 115

Legend and Statistics: 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 pi = 3.14159... --LHS-- --RHS-- -Total- max complexity: 61 57 118 dead-ends: 612074 1485534 2097608 Time: 0.312 expressions: 41598 97138 138736 distinct: 24971 31557 56528 Memory: 3136KiB Total equations tested: 788009847 (7.88e+08)

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This page was written in the "embarrassingly readable" markup language RHTF, and was last updated on 2020 Mar 26. s.11