0.839213771445165 - RIES (RILYBOT Inverse Equation Solver)  

RIES command: ./ries --wide -l1 -s 0.839213771445165 Your target value: T = 0.839213771445164958 www.mrob.com/ries

equation root of equation distance from your target accurate to within complexity
sinpi(x) = 1/2
x = 0.83333333333333337 = T - 0.00588044 1 part in 143 48
x = sqrt(1/sqrt(2))
x = 0.840896415253714502 = T + 0.00168264 1 part in 499 53
x = eⁿ√(1/phi)
x = 0.837756379554796204 = T - 0.00145739 1 part in 576 63
sinpi(x) = ln(2)^2
x = 0.840472259748534678 = T + 0.00125849 1 part in 667 63
sinpi(x) = ln(phi)
x = 0.840196787970259318 = T + 0.000983017 1 part in 854 59
x = piⁿ√(1/sqrt(3))
x = 0.839583304512305006 = T + 0.000369533 1 part in 2271 67
cospi(sinpi(x)) = 1/e^3
x = 0.839130455090593252 = T - 8.33164e-05 1 part in 10073 76
cospi(x) = 1/8-1
x = 0.839138753489667599 = T - 7.5018e-05 1 part in 11187 69
tanpi(sinpi(x)) = 3^e
x = 0.839202416767333204 = T - 1.13547e-05 1 part in 73909 81
tanpi(sinpi(x)) = 2 pi^2
x = 0.839224203755327469 = T + 1.04323e-05 1 part in 80444 84
cospi(sinpi(x)) = 1/3^e
x = 0.839209855271805916 = T - 3.91617e-06 1 part in 214294 85
sinpi(x) = 3ⁿ√(1/2^pi)
x = 0.839217205809535627 = T + 3.43436e-06 1 part in 244358 90
cospi(x^2) = -((log_6(4))^2)
x = 0.839216411157726827 = T + 2.63971e-06 1 part in 317919 96
x = piⁿ√(4 sqrt(phi))/2
x = 0.839214671255870126 = T + 8.99811e-07 1 part in 932656 101
x = ((1/6+7)/pi)/e
x = 0.839214251848574788 = T + 4.80403e-07 1 part in 1746894 102
x = 1/2^(1/e^(e^(1/pi)))
x = 0.839213850997679534 = T + 7.95525e-08 1 part in 10549180 95
tanpi(x^2) = sqrt(log_3(phi))-2
x = 0.839213748502189771 = T - 2.2943e-08 1 part in 36578245 109
x = (sqrt(6-1/pi)-1)/sqrt(e)
x = 0.839213779661081016 = T + 8.21592e-09 1 part in 1.021e+08 113
x = (log_2(3))ⁿ√(1/sqrt(3)ⁿ√phi)
x = 0.839213772382887968 = T + 9.37723e-10 1 part in 8.949e+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: 609067 1485582 2094649 Time: 0.114 expressions: 41507 97170 138677 distinct: 25045 31543 56588 Memory: 3136KiB Total equations tested: 789994435 (7.9e+08)


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