Benchmarks

With input 100'000

Name	ips	average	deviation	median	99th %
Factorial with reduce on ranges	0.31	3.24 s	±0.36%	3.23 s	3.28 s
Factorial with reduce on chunks	0.31	3.27 s	±0.25%	3.27 s	3.28 s
Factorial with reduce	0.110	9.13 s	±9.03%	8.81 s	11.00 s

Comparison:

Name	Result
Factorial with reduce on ranges	0.31
Factorial with reduce on chunks	0.31 - 1.01x slower +0.0303 s
Factorial with reduce	0.110 - 2.82x slower +5.89 s

Memory usage statistics:

Name	Memory usage
Factorial with reduce on ranges	3.82 MB
Factorial with reduce on chunks	17.55 MB - 4.60x memory usage +13.73 MB
Factorial with reduce	0.00009 MB - 0.00x memory usage -3.81527 MB

All measurements for memory usage were the same

With input 500'000

Name	ips	average	deviation	median	99th %
Factorial with reduce on chunks	0.00724	2.30 min	±0.00%	2.30 min	2.30 min
Factorial with reduce on ranges	0.00717	2.32 min	±0.00%	2.32 min	2.32 min
Factorial with reduce	0.00309	5.39 min	±0.00%	5.39 min	5.39 min

Comparison:

Name	Result
Factorial with reduce on chunks	0.00724
Factorial with reduce on ranges	0.00717 - 1.01x slower +0.0211 min
Factorial with reduce	0.00309 - 2.34x slower +3.08 min

Name	Memory usage
Factorial with reduce on chunks	87.74 MB
Factorial with reduce on ranges	19.07 MB - 0.22x memory usage -68.66518 MB
Factorial with reduce	0.00009 MB - 0.00x memory usage -87.73924 MB

All measurements for memory usage were the same