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# 0.839213771445165 - RIES (RILYBOT Inverse Equation Solver)

RIES command: ./ries --wide -l1 -s 0.839213771445165 Your target value: T = 0.839213771445165 mrob.com/ries

 equation root of equation distance from your target accurate to within complexity sinpi(x) = 1/2 x = 0.833333333333333 = T - 0.00588044 1 part in 143 48 x = sqrt(1/sqrt(2)) x = 0.840896415253714 = T + 0.00168264 1 part in 499 53 x = eⁿ√(1/phi) x = 0.837756379554796 = T - 0.00145739 1 part in 576 63 sinpi(x) = ln(2)^2 x = 0.840472259748535 = T + 0.00125849 1 part in 667 63 sinpi(x) = ln(phi) x = 0.840196787970259 = T + 0.000983017 1 part in 854 59 x = piⁿ√(1/sqrt(3)) x = 0.839583304512305 = T + 0.000369533 1 part in 2271 67 cospi(sinpi(x)) = 1/e^3 x = 0.839130455090593 = T - 8.33164e-05 1 part in 10073 76 x = 1/(atan2(1,e)+x) x = 0.839157701128935 = T - 5.60703e-05 1 part in 14967 76 tanpi(sinpi(x)) = 3^e x = 0.839202416767333 = T - 1.13547e-05 1 part in 73909 81 tanpi(sinpi(x)) = 2 pi^2 x = 0.839224203755327 = T + 1.04323e-05 1 part in 80444 84 cospi(sinpi(x)) = 1/3^e x = 0.839209855271806 = T - 3.91617e-06 1 part in 214294 85 sinpi(x) = 3ⁿ√(1/2^pi) x = 0.839217205809536 = T + 3.43436e-06 1 part in 244358 90 atan2(x,sqrt(phi)) = ln(ln(6)) x = 0.839213570800956 = T - 2.00644e-07 1 part in 4182597 95 x = 1/2^(1/e^(e^(1/pi))) x = 0.839213850997679 = T + 7.95525e-08 1 part in 10549180 95 cospi((atan2(x))^2) = 1/(e^phi)^2 x = 0.839213784959812 = T + 1.35146e-08 1 part in 62096609 103 x = sqrt(atan2(6,e^2))^sqrt(x) x = 0.839213780665078 = T + 9.21991e-09 1 part in 91021875 106 x = (sqrt(6-1/pi)-1)/sqrt(e) x = 0.839213779661081 = T + 8.21592e-09 1 part in 1.021e+08 113 x = (log_2(3))ⁿ√(1/sqrt(3)ⁿ√phi) x = 0.839213772382888 = T + 9.37723e-10 1 part in 8.949e+08 115

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: 858942 1210614 2069556 Time: 0.136 expressions: 59425 75029 134454 distinct: 36902 29158 66060 Memory: 4672KiB Total equations tested: 1075988516 (1.076e+09)

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