zunzun
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curve fit from zunzunTRANSCRIPT
4/17/13 ZunZun.com - 3D Function Finder Results
zunzun.com/StatusAndResults/ 1/14
ZunZun.com
3D Function Finder Results
Next Set Of Equations
Hint: If you have too many Polyfunctionals you can go back, turn them off, and run again.
Rank 1
SSQABS:1.00652601454e-05
RMSE:0.000427790521068
Equation Family:
Logarithmic
Full QuadraticLogarithmic
z = a + b*ln(x) +
c*ln(y) + d*ln(x)2 +
f*ln(y)2 +
g*ln(x)*ln(y)
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Rank 2
SSQABS:
1.00652601454e-05
RMSE:0.000427790521068
Equation Family:
TaylorSeries
Taylor Series D
z = a + b*ln(x) +
c*ln(y) + d*ln(x)2 +
f*ln(y)2 +
g*ln(x)*ln(y)
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Rank 3
SSQABS:
4.39793897696e-05RMSE:
0.000894217685207
Equation Family:
TaylorSeries Taylor Series B
z = a + b*ln(x) + cy
+ d*ln(x)2 + fy2 +g*ln(x)*y
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4/17/13 ZunZun.com - 3D Function Finder Results
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Rank 4
SSQABS:
7.2395518171e-05 RMSE:
0.00114729340126
Equation Family:
TaylorSeries Taylor Series C
z = a + bx + c*ln(y)
+ dx2 + f*ln(y)2 +g*x*ln(y)
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Rank 5
SSQABS:9.27387354659e-05
RMSE:
0.00129852178521
Equation Family:TaylorSeries
Taylor Series J
z = a + b*ln(x) + c/y
+ d*ln(x)2 + f/y2 +
g*ln(x)/y
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Rank 6
SSQABS:0.000119893747113
RMSE:0.00147644380562
Equation Family:TaylorSeries
Taylor Series I
z = a + bx + c/y +
dx2 + f/y2 + gx/y
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Rank 7
SSQABS:0.000122716940025
RMSE:0.00149372590905
Equation Family:Polynomial
4/17/13 ZunZun.com - 3D Function Finder Results
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Polynomial Full Quadratic
z = a + bx + cy + dx2
+ fy2 + gxy
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Rank 8
SSQABS:0.000122716940025
RMSE:0.00149372590905
Equation Family:TaylorSeries
Taylor Series A
z = a + bx + cy + dx2
+ fy2 + gxy
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Rank 9
SSQABS:0.000143274205771
RMSE:0.00161399676563
Equation Family:TaylorSeries
Taylor Series E
z = a + b/x + cy +
d/x2 + fy2 + gy/x
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Rank 10
SSQABS:0.000149243547066
RMSE:
0.0016472762481
Equation Family:TaylorSeries
Taylor Series G
z = a + b/x + c*ln(y)
+ d/x2 + f*ln(y)2 +
g*ln(y)/x
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Rank 11
4/17/13 ZunZun.com - 3D Function Finder Results
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Rank 11
SSQABS:
0.000285936770457
RMSE:0.00228009876364
Equation Family:
TaylorSeries
Taylor Series M
z = a + b/x + c/y +
d/x2 + f/y2 + g/(xy)
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Rank 12
SSQABS:0.000476307625592
RMSE:
0.00294281135093
Equation Family:TaylorSeries
Taylor Series L
z = a + b*ln(x) +
c/ln(y) + d*ln(x)2 +
f/ln(y)2 + g*ln(x)/ln(y)
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Rank 13
SSQABS:
0.000534746079402RMSE:
0.00311811737898
Equation Family:
TaylorSeries Taylor Series K
z = a + bx + c/ln(y) +
dx2 + f/ln(y)2 +gx/ln(y)
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4/17/13 ZunZun.com - 3D Function Finder Results
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Rank 14
SSQABS:0.000555441681018
RMSE:0.00317788288879
Equation Family:Trigonometric
Sine X Times Sine
Y [radians] With
Offset
z = amplitude * sin(pi* (x - center_x) /
width_x) * sin(pi * (y
- center_y) / width_y)+ Offset
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Rank 15
SSQABS:
0.000555459924001RMSE:
0.00317793507572
Equation Family:
TaylorSeries Taylor Series O
z = a + b/x + c/ln(y)
+ d/x2 + f/ln(y)2 +
g/(x*ln(y))
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Rank 16
SSQABS:
0.00057401498937 RMSE:
0.00323057830278
Equation Family:
Peak
Log-Normal A WithOffset
z = a * exp(-0.5 *
(((ln(x)-b)/c)2 +
((ln(y)-d)/f)2)) +
Offset
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4/17/13 ZunZun.com - 3D Function Finder Results
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Rank 17
SSQABS:
0.000585042984952RMSE:
0.00326146365624
Equation Family:
Rational Rational F With
Offset
z = (a + bx + cy)/(1
+ d*ln(x) + f*ln(y)) +Offset
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Rank 18
SSQABS:0.000586516696277
RMSE:
0.00326556885279
Equation Family:
Peak
Extreme Value B
With Offset
z = a * exp(-exp(-(x-
b)/c)-(x-b)/c+1) *
exp(-exp(-(y-d)/f)-
(y-d)/f+1) + Offset
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Rank 19
SSQABS:
0.000626594150168
RMSE:0.00337529567774
Equation Family:
Exponential
Full QuadraticExponential
z = a + b*exp(x) +
4/17/13 ZunZun.com - 3D Function Finder Results
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c*exp(y) + d*exp(x)2
+ f*exp(y)2 +g*exp(x)*exp(y)
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Rank 20
SSQABS:
0.000639810362898
RMSE:
0.00341070603967
Equation Family:Peak
Gaussian A With
Offset
z = a * exp(-0.5 *
(((x-b)/c)2 + ((y-
d)/f)2)) + Offset
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Rank 21
SSQABS:
0.000667663029563
RMSE:0.00348415381553
Equation Family:
Rational
Rational F
z = (a + bx + cy)/(1
+ d*ln(x) + f*ln(y))
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Rank 22
SSQABS:
0.000687664138459RMSE:
0.00353595592954
Equation Family:
Peak Logistic B With
Offset
z = 16a * exp(-((x-
b)/c)-((y-d)/f)) /
((1+exp(-((x-b)/c)))2
* (1+exp(-((y-
4/17/13 ZunZun.com - 3D Function Finder Results
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* (1+exp(-((y-
d)/f)))2) + Offset
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Rank 23
SSQABS:
0.00068791515971
RMSE:
0.0035366012439
Equation Family:
Miscellaneous
Menn's Surface A
With Offset
z = ax4 + bx2y - cy2
+ Offset
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Rank 24
SSQABS:
0.000773367094971
RMSE:
0.00374982931726
Equation Family:
Peak
Lorentzian A With
Offset
z = a / ((1+((x-
b)/c)2)*(1+((y-
d)/f)2)) + Offset
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Rank 25
SSQABS:
0.000782929706661
RMSE:
0.00377294123671
Equation Family:
Rational
Rational E
z = (a + b*exp(x) +c*exp(y))/(1 + dx +
4/17/13 ZunZun.com - 3D Function Finder Results
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c*exp(y))/(1 + dx +
fy)
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Rank 26
SSQABS:
0.000882408834737
RMSE:0.00400547088308
Equation Family:
Polynomial
User-SelectablePolynomial
z = a + bx0y1 + cx1y0
+ dx1y1 + fx2y0 +
gx2y1
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Rank 27
SSQABS:
0.00105038809377 RMSE:
0.00437012189089
Equation Family:
Rational Rational D With
Offset
z = (a + b*ln(x) +
c*exp(y))/(1 + dx +fy) + Offset
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Rank 28
SSQABS:
0.00106560752537
RMSE:
0.00440166812463
Equation Family:
Rational
4/17/13 ZunZun.com - 3D Function Finder Results
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Rational G With
Offset
z = (a + bx + cy)/(1+ d*exp(x) + f*ln(y))
+ Offset
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Rank 29
SSQABS:
0.00106800965966
RMSE:
0.00440662653834
Equation Family:
Peak
Logistic A
z = 4a * exp(-((x-
b)/c))/((1+exp(-((x-
b)/c)))2) + 4d * exp(-
((y-f)/g))/((1+exp(-
((y-f)/g)))2)
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Rank 30
SSQABS:0.00107756690965
RMSE:
0.00442629931547
Equation Family:
Peak
Lorentzian A
z = a / ((1+((x-
b)/c)2)*(1+((y-
d)/f)2))
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Rank 31
SSQABS:0.00108407040481
4/17/13 ZunZun.com - 3D Function Finder Results
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0.00108407040481
RMSE:
0.00443963635859
Equation Family:Peak
Logistic B
z = 16a * exp(-((x-
b)/c)-((y-d)/f)) /
((1+exp(-((x-b)/c)))2
* (1+exp(-((y-
d)/f)))2)
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Rank 32
SSQABS:
0.00108744212863 RMSE:
0.00444653517538
Equation Family:
Peak
Gaussian A
z = a * exp(-0.5 *
(((x-b)/c)2 + ((y-
d)/f)2))
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Rank 33
SSQABS:
0.00109442864247
RMSE:
0.00446079618346
Equation Family:
Peak
Lorentzian B
z = a / (1+((x-b)/c)2)
+ d * (1+((y-f)/g)2)
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Rank 34
SSQABS:
0.00109456667983
RMSE:0.00446107748873
4/17/13 ZunZun.com - 3D Function Finder Results
zunzun.com/StatusAndResults/ 12/14
Equation Family:
Trigonometric
Sine X Times SineY [radians]
z = amplitude * sin(pi* (x - center_x) /
width_x) * sin(pi * (y
- center_y) / width_y)
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Rank 35
SSQABS:0.00109584652733
RMSE:0.004463684836
Equation Family:Peak
Extreme Value B
z = a * exp(-exp(-(x-
b)/c)-(x-b)/c+1) *exp(-exp(-(y-d)/f)-
(y-d)/f+1)
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Rank 36
SSQABS:0.00110252045402
RMSE:0.00447725657482
Equation Family:Peak
Gaussian B
z = a * exp(-0.5 *
(((x-b)/c)2)) + d *exp(-0.5 * (((y-
f)/g)2))
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Rank 37
4/17/13 ZunZun.com - 3D Function Finder Results
zunzun.com/StatusAndResults/ 13/14
SSQABS:0.00110695275364
RMSE:
0.00448624717359
Equation Family:Trigonometric
Sine X Plus Sine Y
[radians]
z = amplitude_x *sin(pi * (x - center_x)
/ width_x) +
amplitude_y * sin(pi* (y - center_y) /
width_y)
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Rank 38
SSQABS:0.00110695594457
RMSE:0.00448625363967
Equation Family:Rational
Rational D
z = (a + b*ln(x) +
c*exp(y))/(1 + dx +fy)
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Rank 39
SSQABS:0.00110974421914
RMSE:0.00449190022381
Equation Family:Rational
Rational G
z = (a + bx + cy)/(1
+ d*exp(x) + f*ln(y))
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Rank 40
4/17/13 ZunZun.com - 3D Function Finder Results
zunzun.com/StatusAndResults/ 14/14
SSQABS:
0.00113095028865 RMSE:
0.00453461492532
Equation Family:
Trigonometric Cosh X Plus Sine Y
[radians]
z = amplitude_x *cosh(pi * (x -
center_x) / width_x)
+ amplitude_y *sin(pi * (y - center_y)
/ width_y)
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