593025a7-ee92-4b1f-948b-187cf14f3a89 3 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

x f x 1 + x 2 + / :

Optimiz SYMBOLIC x f expand maple 2 x + x 2 x + (* + 2 x + (2^/

Optimiz NONE x f expand maple 1 x * x 2 + / 1 x 2 + / +

Assume expr(x) comes from source and ovelaps several pages ...
maple will compact c/w respective paramaters from calc suite. x expr β 1 el β 5 el x 2^* β 4 el x * + 1 + / β 2 el x * β 5 el x 2^* β 4 el x * + 1 + / + β 3 el x 2^* β 5 el x 2^* β 4 el x * + 1 + / + :

optimiz NONE x expr simplify maple β 1 el β 2 el x * + β 3 el x 2^* + β 5 el x 2^* β 4 el x * + 1 + /

optimiz SYMBOLIC x expr simplify maple x β 3 el x * β 2 el + (* β 1 el + 1 x β 5 el x * β 4 el + (* + /

2 same formulas

Mathematica 4.0 has a long discours about formulas representation(s).

maple Smath x f1 x 2 - x + (* 1 - x + x 2 - x + (* sqrt + ln * x 2 - x + (* - sqrt x 2 - x + (* sqrt * / :

MCD 11 x f2 1 - x + asin 1 - x 2 - x + (* / sqrt * x 2 - x + (* - sqrt * π 2 / - :

X 1.23456789 :

X f1 X f2 - 15 round 0.000000000000000

14 different representations

j 7 :

x f 1 x / x x 1 + / + x 2^x + 1 + x 1 x + (* / x 2^x + 1 + x 2^x + / 11 x / + 1 x 1 + / - 11 x 2^x + / + x x 1 + / 1 x 1 + / + 1 x x 1 + (* / + x 1 + (2^x - 1 x + (x * / 71 sys :

x Φ 1 x + x 2^+ 1 x + (x * / 1 x 1 x + (* + x 1 x + (* / 1 x 1 x + (* + x 1 x + (* / x 1 + (2^x - 1 x + (x * / x 1 x + (* 1 + x 1 x + (* / 1 x + 1 x 1 x + 1 + (* + (x * + 1 x + (2^x * / x - 1 x + (2^+ 1 x + (x * / 71 sys :

x f j el x Φ j el

yo r t to - (* exp * 1 yo - yo r t to - (* exp * + / 111 yo / 1 - (r t to - (* - exp * + / ≡

NOT from Smath

Lambert principal branch x W w w exp * x - 0 ≡ w 1 e / - roots :

a 1 : b 2 : c 0.5 : 13 mat

f a b c b / a b / exp * W * - (- b / 1 b / a * exp b / c * W 1 b / a * - a b / - c b / a b / exp * W + 31 sys :

f 1 el f 2 el f 3 el 31 mat 0.19589899188683 - 0.19589899188683 - 0.19589899188683 - 31 mat