0.443834946 - RIES (RILYBOT Inverse Equation Solver)
RIES command: ./ries --wide -l1 -s 0.443834946
Your target value: T = 0.443834946 mrob.com/ries
|
|
equation | root of equation | distance from your target
| accurate to within | complexity
| |
tanpi(x) = 6 |
x = 0.447431543288747 |
= T + 0.0035966 |
1 part in 123 |
49
|
| x = sqrt(1/5) |
x = 0.447213595499958 |
= T + 0.00337865 |
1 part in 131 |
48
|
| x = sqrt(pi)/4 |
x = 0.443113462726379 |
= T - 0.000721483 |
1 part in 615 |
59
|
| x = 4*1/9 |
x = 0.444444444444444 |
= T + 0.000609498 |
1 part in 728 |
61
|
| x = (e-2)/phi |
x = 0.443922583489111 |
= T + 8.76375e-05 |
1 part in 5064 |
72
|
| tanpi(x) = sqrt(3^pi) |
x = 0.443912975421474 |
= T + 7.80294e-05 |
1 part in 5688 |
75
|
| x = sqrt(sqrt(pi))/3 |
x = 0.44377845460013 |
= T - 5.64914e-05 |
1 part in 7857 |
67
|
| sinpi(cospi(x)) = pi/6 |
x = 0.44387460771374 |
= T + 3.96617e-05 |
1 part in 11191 |
78
|
| atan2(x^2) = 1/(2+pi) |
x = 0.443826899747295 |
= T - 8.04625e-06 |
1 part in 55160 |
81
|
| x = 2^-sqrt(atan2(5)) |
x = 0.443829717288631 |
= T - 5.22871e-06 |
1 part in 84884 |
86
|
| tanpi(x) = (pi/2)^2+pi |
x = 0.4438401539254 |
= T + 5.20793e-06 |
1 part in 85223 |
90
|
| x = sqrt(5)ⁿ√(cospi(1/e)^2) |
x = 0.443831310291041 |
= T - 3.63571e-06 |
1 part in 122077 |
93
|
| x = e^(1-sqrt(1/7+pi)) |
x = 0.44383380229379 |
= T - 1.14371e-06 |
1 part in 388067 |
101
|
| x = (3ⁿ√(1/(4-1/phi)))^2 |
x = 0.443833937853972 |
= T - 1.00815e-06 |
1 part in 440249 |
99
|
| cospi(x^2) = sqrt(1/atan2(pi,(1/5))) |
x = 0.443835790074393 |
= T + 8.44074e-07 |
1 part in 525824 |
100
|
| tanpi(x) = (9-1/4)-pi |
x = 0.443834403046126 |
= T - 5.42954e-07 |
1 part in 817445 |
97
|
| x = (atan2(e^2)/2)/phi |
x = 0.443834413061414 |
= T - 5.32939e-07 |
1 part in 832807 |
100
|
| tanpi(x) = 9 sqrt(e/7) |
x = 0.44383455261287 |
= T - 3.93387e-07 |
1 part in 1128240 |
102
|
| atan2(tanpi(x),x) = (e^(1/5))^2 |
x = 0.443835295257907 |
= T + 3.49258e-07 |
1 part in 1270794 |
101
|
| tanpi(x) = atan2(4,-5)+pi |
x = 0.443834766120297 |
= T - 1.7988e-07 |
1 part in 2467399 |
98
|
| sinpi(x) = piⁿ√sqrt(sqrt(sinpi(ln(2)))) |
x = 0.44383476887881 |
= T - 1.77121e-07 |
1 part in 2505826 |
106
|
| tanpi(x-1/pi) = -cospi(2/pi) |
x = 0.443834786856326 |
= T - 1.59144e-07 |
1 part in 2788895 |
109
|
| tanpi(log_4(x)) = 4/atan2(2) |
x = 0.443835043674823 |
= T + 9.76748e-08 |
1 part in 4544006 |
109
|
| x = (1/(1/sqrt(pi)+1))/(log_phi(2)) |
x = 0.443834891200336 |
= T - 5.47997e-08 |
1 part in 8099228 |
111
|
| tanpi(sqrt(x/pi)) = atan2(6,-7) |
x = 0.443834979885731 |
= T + 3.38857e-08 |
1 part in 13097990 |
111
|
| x = 1/(cospi(4/9)+ln(8)) |
x = 0.44383496645217 |
= T + 2.04522e-08 |
1 part in 21701118 |
111
|
| x = (1-e^(1/e))-(1/x-pi) |
x = 0.443834940257307 |
= T - 5.74269e-09 |
1 part in 77286908 |
112
| |
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: 862605 1210615 2073220 Time: 0.139
expressions: 59490 75020 134510
distinct: 36594 29150 65744 Memory: 4672KiB
Total equations tested: 1066715100 (1.067e+09)
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get the RIES source code and compile your own!
mrob.com/ries
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the Inverse Symbolic Calculator
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This page was written in the "embarrassingly readable" markup language RHTF, and was last updated on 2013 Feb 09. 
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