Speed

In summary:

Function	sw-i0S / np	sw-iOS / ml	sw-iOS / sw-OSX
pe1	6.21	7.43	4.46
pe10	1.55	6.16	5.01
pe73	25.00	104.5	3.35
pi_approx	8.79	36.7	3.71
soft_thresh	0.22	0.74	10.53

Note

To condense this table I use np for NumPy, ml for Matlab and sw for swix.

Note

All tests were run under Xcode beta 6

Note

OSX tests were run on my machine, a 2012 macbook air with an SSD and 8GB RAM and iOS tests were run on my iPhone 5.

All functions are on Github for your browsing.

Times

Time in seconds on my Macbook Air:

Function	-Onone	-O	-Ounchecked
pe1	1.96	0.239	0.236
pe10	3.04	0.662	0.632
pe73	4.95	0.344	0.343
pi_approx	0.63	0.109	0.111
soft_threshold	0.016	0.0017	0.0018

Time in seconds on my iPhone 5:

Function	-Onone	-O	-Ounchecked
pe1	74.08	1.072	1.055
pe10	110.91	3.190	3.165
pe73	48.70	1.15	1.21
pi_approx	28.04	0.422	0.404
soft_threshold	0.720	0.0197	0.0179

And we should also compare against NumPy/Matlab and Julia!

Function	NumPy	Matlab	Julia	swix-OSX	swix-iOS
pe1	0.170	0.142	0.002	0.236	1.050
pe10	2.04	0.514	0.120	0.632	3.165
pe73	0.132	0.188	0.305	0.342	0.154
pi_approx	0.046	0.011	0.087	0.109	0.404
soft_threshold	0.081	0.024	0.011	0.0017	0.0179