Add comparative benchmarks with numpy

[Alex-PLACET]

Checklist

• The title and commit message(s) are descriptive.
• Small commits made to fix your PR have been squashed to avoid history pollution.
• Tests have been added for new features or bug fixes.
• API of new functions and classes are documented.

Description

xtensor vs NumPy Benchmark Report

Metric: cpu_time
Executable: /home/alexisp/Dev/quantstack/xtensor/build/benchmark/benchmark_xtensor
Host: Quantstacklaptopalexis
CPU scaling enabled: True
ASLR enabled: True

Per-function summary

Function	Samples	NumPy / xtensor geomean	Best	Worst	Verdict
acos	2	1.14x	1.01x	1.29x	xtensor faster
acosh	2	1.98x	1.84x	2.14x	xtensor faster
add	2	1.50x	1.10x	2.04x	xtensor faster
amax_all	2	0.56x	0.22x	1.39x	numpy faster
amax_axis0	2	0.47x	0.11x	1.97x	numpy faster
amax_axis1	2	1.08x	0.35x	3.37x	xtensor faster
amin_all	2	0.55x	0.22x	1.38x	numpy faster
amin_axis0	2	0.46x	0.11x	1.95x	numpy faster
amin_axis1	2	1.09x	0.35x	3.38x	xtensor faster
asin	2	1.99x	1.86x	2.14x	xtensor faster
asinh	2	1.37x	1.15x	1.65x	xtensor faster
atan	2	1.44x	1.39x	1.49x	xtensor faster
atanh	2	2.36x	2.35x	2.38x	xtensor faster
cbrt	2	1.43x	1.16x	1.78x	xtensor faster
ceil	2	1.29x	1.03x	1.61x	xtensor faster
cos	2	2.85x	2.82x	2.87x	xtensor faster
cosh	2	0.70x	0.55x	0.90x	numpy faster
divide	2	1.11x	1.07x	1.15x	xtensor faster
exp	2	0.93x	0.92x	0.95x	numpy faster
exp2	2	0.88x	0.83x	0.94x	numpy faster
expm1	2	1.32x	0.77x	2.26x	xtensor faster
floor	2	1.29x	1.03x	1.62x	xtensor faster
hypot	2	3.85x	3.70x	4.02x	xtensor faster
log	2	1.69x	1.37x	2.08x	xtensor faster
log10	2	2.15x	2.03x	2.26x	xtensor faster
log1p	2	2.12x	2.07x	2.18x	xtensor faster
log2	2	1.70x	1.39x	2.08x	xtensor faster
mean_all	2	1.13x	0.45x	2.80x	xtensor faster
mean_axis0	2	0.58x	0.10x	3.49x	numpy faster
mean_axis1	2	1.34x	0.49x	3.67x	xtensor faster
multiply	2	1.49x	1.14x	1.95x	xtensor faster
power	2	1.20x	1.18x	1.21x	xtensor faster
prod_all	2	2.06x	1.24x	3.41x	xtensor faster
prod_axis0	2	0.39x	0.09x	1.76x	numpy faster
prod_axis1	2	2.17x	1.26x	3.74x	xtensor faster
round	2	1.01x	0.96x	1.07x	similar
sin	2	2.93x	2.78x	3.09x	xtensor faster
sinh	2	4.95x	2.60x	9.43x	xtensor faster
sqrt	2	1.47x	1.02x	2.12x	xtensor faster
subtract	2	1.46x	1.10x	1.92x	xtensor faster
sum_all	2	1.05x	0.45x	2.42x	similar
sum_axis0	2	0.53x	0.11x	2.59x	numpy faster
sum_axis1	2	1.16x	0.50x	2.70x	xtensor faster
tan	2	3.76x	3.03x	4.68x	xtensor faster
tanh	2	2.10x	2.04x	2.16x	xtensor faster
trunc	2	1.27x	1.01x	1.61x	xtensor faster

Detailed results

Function	Size	xtensor	NumPy	NumPy / xtensor	Verdict
acos	64	11736 ns	15193 ns	1.29x	xtensor faster
acos	512	1229374 ns	1237327 ns	1.01x	similar
acosh	64	15689 ns	33562 ns	2.14x	xtensor faster
acosh	512	1199834 ns	2203597 ns	1.84x	xtensor faster
add	64	955 ns	1945 ns	2.04x	xtensor faster
add	512	153794 ns	169934 ns	1.10x	xtensor faster
amax_all	64	1817 ns	2531 ns	1.39x	xtensor faster
amax_all	512	236977 ns	52722 ns	0.22x	numpy faster
amax_axis0	64	1849 ns	3644 ns	1.97x	xtensor faster
amax_axis0	512	617663 ns	68255 ns	0.11x	numpy faster
amax_axis1	64	1828 ns	6169 ns	3.37x	xtensor faster
amax_axis1	512	237983 ns	82628 ns	0.35x	numpy faster
amin_all	64	1834 ns	2539 ns	1.38x	xtensor faster
amin_all	512	238350 ns	52852 ns	0.22x	numpy faster
amin_axis0	64	1834 ns	3578 ns	1.95x	xtensor faster
amin_axis0	512	640032 ns	69011 ns	0.11x	numpy faster
amin_axis1	64	1828 ns	6176 ns	3.38x	xtensor faster
amin_axis1	512	237288 ns	83483 ns	0.35x	numpy faster
asin	64	7039 ns	15066 ns	2.14x	xtensor faster
asin	512	501518 ns	931285 ns	1.86x	xtensor faster
asinh	64	20240 ns	33346 ns	1.65x	xtensor faster
asinh	512	1859154 ns	2129994 ns	1.15x	xtensor faster
atan	64	10916 ns	16299 ns	1.49x	xtensor faster
atan	512	650837 ns	907467 ns	1.39x	xtensor faster
atanh	64	17741 ns	42180 ns	2.38x	xtensor faster
atanh	512	1111676 ns	2615130 ns	2.35x	xtensor faster
cbrt	64	30489 ns	54123 ns	1.78x	xtensor faster
cbrt	512	1963793 ns	2271448 ns	1.16x	xtensor faster
ceil	64	661 ns	1065 ns	1.61x	xtensor faster
ceil	512	105453 ns	108167 ns	1.03x	similar
cos	64	6448 ns	18534 ns	2.87x	xtensor faster
cos	512	382425 ns	1079464 ns	2.82x	xtensor faster
cosh	64	15696 ns	14173 ns	0.90x	numpy faster
cosh	512	1593010 ns	871540 ns	0.55x	numpy faster
divide	64	2176 ns	2503 ns	1.15x	xtensor faster
divide	512	154884 ns	165645 ns	1.07x	xtensor faster
exp	64	9806 ns	9310 ns	0.95x	numpy faster
exp	512	628211 ns	577400 ns	0.92x	numpy faster
exp2	64	9945 ns	9299 ns	0.94x	numpy faster
exp2	512	720145 ns	594419 ns	0.83x	numpy faster
expm1	64	14401 ns	32504 ns	2.26x	xtensor faster
expm1	512	1129295 ns	873062 ns	0.77x	numpy faster
floor	64	661 ns	1068 ns	1.62x	xtensor faster
floor	512	104207 ns	107347 ns	1.03x	similar
hypot	64	3261 ns	13110 ns	4.02x	xtensor faster
hypot	512	209323 ns	773540 ns	3.70x	xtensor faster
log	64	8547 ns	17819 ns	2.08x	xtensor faster
log	512	552289 ns	753956 ns	1.37x	xtensor faster
log10	64	9918 ns	22437 ns	2.26x	xtensor faster
log10	512	651181 ns	1324825 ns	2.03x	xtensor faster
log1p	64	9587 ns	20868 ns	2.18x	xtensor faster
log1p	512	607629 ns	1260547 ns	2.07x	xtensor faster
log2	64	9192 ns	19113 ns	2.08x	xtensor faster
log2	512	595742 ns	826105 ns	1.39x	xtensor faster
mean_all	64	1134 ns	3178 ns	2.80x	xtensor faster
mean_all	512	123322 ns	55821 ns	0.45x	numpy faster
mean_axis0	64	1300 ns	4531 ns	3.49x	xtensor faster
mean_axis0	512	612688 ns	58849 ns	0.10x	numpy faster
mean_axis1	64	1188 ns	4356 ns	3.67x	xtensor faster
mean_axis1	512	122792 ns	60268 ns	0.49x	numpy faster
multiply	64	964 ns	1883 ns	1.95x	xtensor faster
multiply	512	150913 ns	171559 ns	1.14x	xtensor faster
power	64	27760 ns	33686 ns	1.21x	xtensor faster
power	512	1814290 ns	2146596 ns	1.18x	xtensor faster
prod_all	64	1770 ns	6041 ns	3.41x	xtensor faster
prod_all	512	227693 ns	282008 ns	1.24x	xtensor faster
prod_axis0	64	1834 ns	3231 ns	1.76x	xtensor faster
prod_axis0	512	632740 ns	54496 ns	0.09x	numpy faster
prod_axis1	64	1789 ns	6687 ns	3.74x	xtensor faster
prod_axis1	512	228785 ns	287819 ns	1.26x	xtensor faster
round	64	1613 ns	1731 ns	1.07x	xtensor faster
round	512	112281 ns	107590 ns	0.96x	similar
sin	64	6720 ns	18711 ns	2.78x	xtensor faster
sin	512	385969 ns	1192133 ns	3.09x	xtensor faster
sinh	64	13669 ns	35475 ns	2.60x	xtensor faster
sinh	512	165511 ns	1560352 ns	9.43x	xtensor faster
sqrt	64	3246 ns	6885 ns	2.12x	xtensor faster
sqrt	512	209269 ns	212644 ns	1.02x	similar
subtract	64	999 ns	1923 ns	1.92x	xtensor faster
subtract	512	154002 ns	170123 ns	1.10x	xtensor faster
sum_all	64	1232 ns	2978 ns	2.42x	xtensor faster
sum_all	512	127564 ns	58006 ns	0.45x	numpy faster
sum_axis0	64	1224 ns	3168 ns	2.59x	xtensor faster
sum_axis0	512	630034 ns	68078 ns	0.11x	numpy faster
sum_axis1	64	1215 ns	3279 ns	2.70x	xtensor faster
sum_axis1	512	125159 ns	62334 ns	0.50x	numpy faster
tan	64	5578 ns	26097 ns	4.68x	xtensor faster
tan	512	436254 ns	1321647 ns	3.03x	xtensor faster
tanh	64	16555 ns	33742 ns	2.04x	xtensor faster
tanh	512	992713 ns	2146525 ns	2.16x	xtensor faster
trunc	64	660 ns	1062 ns	1.61x	xtensor faster
trunc	512	101855 ns	102982 ns	1.01x	similar

[codspeed-hq]

Merging this PR will not alter performance

✅ 255 untouched benchmarks

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_{Comparing Alex-PLACET:add_comparative_benchmarks_with_numpy (78bcf9d) with master (dd857e5)}