Wed Sep 12 15:53:04 2018 BALL_MONTE_CARLO_TEST Python version: 3.6.5 Estimate integrals over the interior of the unit ball using the Monte Carlo method. N 1 X^2 Y^2 Z^2 X^4 X^2Y^2 Z^4 1 4.18879 0.798002 1.64032 1.39013 0.152027 0.312496 0.46134 2 4.18879 1.03446 0.0313919 2.60385 0.255534 0.00783159 1.6231 4 4.18879 0.63947 1.29942 0.886031 0.169377 0.156321 0.332891 8 4.18879 0.706878 1.31959 0.637942 0.365772 0.101291 0.169699 16 4.18879 0.749817 0.628732 0.820885 0.21611 0.115517 0.381926 32 4.18879 0.972267 0.991735 0.775168 0.573372 0.0735733 0.32293 64 4.18879 0.741511 0.862486 0.855119 0.318995 0.105527 0.375792 128 4.18879 0.924268 0.872232 0.768296 0.384272 0.119338 0.327773 256 4.18879 0.838844 0.911214 0.782156 0.365334 0.117366 0.324475 512 4.18879 0.907328 0.777673 0.801273 0.417632 0.118592 0.327538 1024 4.18879 0.882473 0.831243 0.819605 0.382068 0.124898 0.342487 2048 4.18879 0.84159 0.831862 0.831017 0.360876 0.120864 0.355221 4096 4.18879 0.833886 0.845382 0.835149 0.361205 0.115068 0.355253 8192 4.18879 0.818774 0.847952 0.839507 0.345509 0.121496 0.356198 16384 4.18879 0.8495 0.840687 0.841399 0.367848 0.122595 0.362627 32768 4.18879 0.834782 0.843638 0.833785 0.357529 0.119821 0.35474 65536 4.18879 0.839017 0.837023 0.836857 0.359542 0.119884 0.357839 Exact 4.18879 0.837758 0.837758 0.837758 0.359039 0.11968 0.359039 Wed Sep 12 15:53:05 2018