refactor: improve precompile-friendliness of _iszero and _isone

[AayushSabharwal]

No description provided.

[github-actions]

Benchmark Results (Julia vlts)

Time benchmarks

	master	30c8a98...	master / 30c8a98...
arithmetic/2-arg mul	13.5 ± 0.33 μs	14.5 ± 0.43 μs	0.933 ± 0.036
arithmetic/addition	0.0823 ± 0.0012 ms	0.0802 ± 0.0016 ms	1.03 ± 0.026
arithmetic/division	28.2 ± 0.94 μs	28.1 ± 1.3 μs	1 ± 0.058
arithmetic/multiplication	0.0652 ± 0.0019 ms	0.0624 ± 0.0017 ms	1.05 ± 0.043
overhead/acrule/a+2	2.48 ± 0.079 μs	2.58 ± 0.07 μs	0.965 ± 0.04
overhead/acrule/a+2+b	0.07 ± 0.01 μs	0.061 ± 0.01 μs	1.15 ± 0.25
overhead/acrule/a+b	4.39 ± 0.13 μs	4.54 ± 0.13 μs	0.967 ± 0.04
overhead/acrule/noop:Int	0.05 ± 0.01 μs	0.05 ± 0.01 μs	1 ± 0.28
overhead/acrule/noop:Sym	0.051 ± 0.01 μs	0.05 ± 0.01 μs	1.02 ± 0.29
overhead/get_degrees/large_poly	0.0987 ± 0.0064 s	0.107 ± 0.0058 s	0.926 ± 0.078
overhead/rule/noop:Int	0.06 ± 0.01 μs	0.06 ± 0.01 μs	1 ± 0.24
overhead/rule/noop:Sym	0.06 ± 0.01 μs	0.06 ± 0.001 μs	1 ± 0.17
overhead/rule/noop:Term	0.06 ± 0.01 μs	0.06 ± 0.001 μs	1 ± 0.17
overhead/ruleset/noop:Int	30 ± 0 ns	30 ± 0 ns	1 ± 0
overhead/ruleset/noop:Sym	0.311 ± 0.001 μs	0.311 ± 0.011 μs	1 ± 0.036
overhead/ruleset/noop:Term	1.2 ± 0.029 μs	1.21 ± 0.02 μs	0.992 ± 0.029
overhead/simplify/noop:Int	30 ± 0 ns	30 ± 0 ns	1 ± 0
overhead/simplify/noop:Sym	30 ± 10 ns	30 ± 10 ns	1 ± 0.47
overhead/simplify/noop:Term	30.1 ± 1.5 μs	31.3 ± 1.4 μs	0.96 ± 0.066
overhead/simplify/randterm (+, *):serial	0.251 ± 0.009 s	0.257 ± 0.0078 s	0.977 ± 0.046
overhead/simplify/randterm (+, *):thread	0.28 ± 0.015 s	0.292 ± 0.0088 s	0.959 ± 0.058
overhead/simplify/randterm (/, *):serial	0.0882 ± 0.0023 ms	0.0912 ± 0.0029 ms	0.967 ± 0.04
overhead/simplify/randterm (/, *):thread	0.0916 ± 0.0025 ms	0.0953 ± 0.0023 ms	0.961 ± 0.035
overhead/substitute/a	0.0565 ± 0.0016 ms	0.0545 ± 0.0013 ms	1.04 ± 0.039
overhead/substitute/a,b	0.0701 ± 0.0019 ms	0.067 ± 0.0015 ms	1.05 ± 0.036
overhead/substitute/a,b,c	0.0593 ± 0.0014 ms	0.0594 ± 0.0012 ms	0.998 ± 0.03
polyform/easy_iszero	23.8 ± 0.53 μs	23.7 ± 0.57 μs	1 ± 0.033
polyform/isone	1.12 ± 0.032 ms	1.12 ± 0.034 ms	0.998 ± 0.041
polyform/isone:noop	0.15 ± 0.01 μs	0.15 ± 0.001 μs	1 ± 0.067
polyform/iszero	0.962 ± 0.027 ms	0.966 ± 0.03 ms	0.996 ± 0.042
polyform/iszero:noop	0.15 ± 0.01 μs	0.15 ± 0.001 μs	1 ± 0.067
polyform/simplify_fractions	1.23 ± 0.034 ms	1.24 ± 0.042 ms	0.99 ± 0.044
printing/large_poly	0.24 ± 0.0042 s	0.237 ± 0.0033 s	1.01 ± 0.023
time_to_load	1.29 ± 0.029 s	1.23 ± 0.01 s	1.05 ± 0.025

Memory benchmarks

	master	30c8a98...	master / 30c8a98...
arithmetic/2-arg mul	0.081 k allocs: 2.7 kB	0.081 k allocs: 2.7 kB	1
arithmetic/addition	0.438 k allocs: 16 kB	0.438 k allocs: 16 kB	1
arithmetic/division	0.147 k allocs: 5.48 kB	0.147 k allocs: 5.48 kB	1
arithmetic/multiplication	0.358 k allocs: 11.7 kB	0.358 k allocs: 11.7 kB	1
overhead/acrule/a+2	0.034 k allocs: 1.25 kB	0.034 k allocs: 1.25 kB	1
overhead/acrule/a+2+b	0 allocs: 0 B	0 allocs: 0 B
overhead/acrule/a+b	0.047 k allocs: 1.8 kB	0.047 k allocs: 1.8 kB	1
overhead/acrule/noop:Int	0 allocs: 0 B	0 allocs: 0 B
overhead/acrule/noop:Sym	0 allocs: 0 B	0 allocs: 0 B
overhead/get_degrees/large_poly	0.712 M allocs: 20.6 MB	0.712 M allocs: 20.6 MB	1
overhead/rule/noop:Int	2 allocs: 0.0625 kB	2 allocs: 0.0625 kB	1
overhead/rule/noop:Sym	2 allocs: 0.0625 kB	2 allocs: 0.0625 kB	1
overhead/rule/noop:Term	2 allocs: 0.0625 kB	2 allocs: 0.0625 kB	1
overhead/ruleset/noop:Int	0 allocs: 0 B	0 allocs: 0 B
overhead/ruleset/noop:Sym	3 allocs: 0.109 kB	3 allocs: 0.109 kB	1
overhead/ruleset/noop:Term	12 allocs: 0.391 kB	12 allocs: 0.391 kB	1
overhead/simplify/noop:Int	0 allocs: 0 B	0 allocs: 0 B
overhead/simplify/noop:Sym	0 allocs: 0 B	0 allocs: 0 B
overhead/simplify/noop:Term	0.298 k allocs: 11.6 kB	0.298 k allocs: 11.6 kB	1
overhead/simplify/randterm (+, *):serial	2.3 M allocs: 0.0883 GB	2.3 M allocs: 0.0882 GB	1
overhead/simplify/randterm (+, *):thread	2.35 M allocs: 0.246 GB	2.35 M allocs: 0.246 GB	1
overhead/simplify/randterm (/, *):serial	0.848 k allocs: 30.5 kB	0.848 k allocs: 30.5 kB	1
overhead/simplify/randterm (/, *):thread	0.883 k allocs: 31.5 kB	0.883 k allocs: 31.5 kB	1
overhead/substitute/a	0.272 k allocs: 9.83 kB	0.272 k allocs: 9.83 kB	1
overhead/substitute/a,b	0.34 k allocs: 12.2 kB	0.34 k allocs: 12.2 kB	1
overhead/substitute/a,b,c	0.301 k allocs: 10.4 kB	0.301 k allocs: 10.4 kB	1
polyform/easy_iszero	0.132 k allocs: 4.47 kB	0.132 k allocs: 4.47 kB	1
polyform/isone	8.43 k allocs: 0.567 MB	8.43 k allocs: 0.567 MB	1
polyform/isone:noop	2 allocs: 32 B	2 allocs: 32 B	1
polyform/iszero	6.95 k allocs: 0.467 MB	6.95 k allocs: 0.467 MB	1
polyform/iszero:noop	2 allocs: 32 B	2 allocs: 32 B	1
polyform/simplify_fractions	8.97 k allocs: 0.59 MB	8.97 k allocs: 0.59 MB	1
printing/large_poly	1.91 M allocs: 0.0837 GB	1.91 M allocs: 0.0837 GB	1
time_to_load	0.153 k allocs: 14.5 kB	0.153 k allocs: 14.5 kB	1

[github-actions]

Benchmark Results (Julia v1)

Time benchmarks

	master	30c8a98...	master / 30c8a98...
arithmetic/2-arg mul	10.8 ± 0.27 μs	10.8 ± 0.22 μs	1 ± 0.033
arithmetic/addition	0.067 ± 0.00073 ms	0.0683 ± 0.00072 ms	0.981 ± 0.015
arithmetic/division	24.8 ± 0.59 μs	25.1 ± 0.55 μs	0.986 ± 0.032
arithmetic/multiplication	0.0516 ± 0.0019 ms	0.0518 ± 0.0019 ms	0.996 ± 0.052
overhead/acrule/a+2	2.16 ± 0.07 μs	2.1 ± 0.04 μs	1.03 ± 0.039
overhead/acrule/a+2+b	0.08 ± 0.009 μs	0.08 ± 0 μs	1 ± 0.11
overhead/acrule/a+b	3.72 ± 0.1 μs	3.68 ± 0.061 μs	1.01 ± 0.032
overhead/acrule/noop:Int	30 ± 0 ns	30 ± 0 ns	1 ± 0
overhead/acrule/noop:Sym	0.06 ± 0.01 μs	0.07 ± 0.01 μs	0.857 ± 0.19
overhead/get_degrees/large_poly	0.0927 ± 0.0089 s	0.0927 ± 0.0057 s	1 ± 0.11
overhead/rule/noop:Int	0.07 ± 0.01 μs	0.07 ± 0.01 μs	1 ± 0.2
overhead/rule/noop:Sym	0.07 ± 0 μs	0.07 ± 0 μs	1 ± 0
overhead/rule/noop:Term	0.07 ± 0 μs	0.07 ± 0 μs	1 ± 0
overhead/ruleset/noop:Int	30 ± 0 ns	30 ± 0 ns	1 ± 0
overhead/ruleset/noop:Sym	0.32 ± 0.01 μs	0.311 ± 0.011 μs	1.03 ± 0.049
overhead/ruleset/noop:Term	1.19 ± 0.021 μs	1.17 ± 0.029 μs	1.02 ± 0.031
overhead/simplify/noop:Int	30 ± 0 ns	30 ± 0 ns	1 ± 0
overhead/simplify/noop:Sym	30 ± 10 ns	30 ± 10 ns	1 ± 0.47
overhead/simplify/noop:Term	26.6 ± 0.56 μs	25.7 ± 0.51 μs	1.03 ± 0.03
overhead/simplify/randterm (+, *):serial	0.19 ± 0.022 s	0.19 ± 0.024 s	1 ± 0.17
overhead/simplify/randterm (+, *):thread	0.219 ± 0.0067 s	0.219 ± 0.013 s	0.997 ± 0.068
overhead/simplify/randterm (/, *):serial	0.0869 ± 0.0051 ms	0.0854 ± 0.0026 ms	1.02 ± 0.067
overhead/simplify/randterm (/, *):thread	0.0977 ± 0.0097 ms	0.0951 ± 0.0085 ms	1.03 ± 0.14
overhead/substitute/a	0.0402 ± 0.00071 ms	0.0393 ± 0.00067 ms	1.02 ± 0.025
overhead/substitute/a,b	0.0505 ± 0.00089 ms	0.0499 ± 0.00083 ms	1.01 ± 0.025
overhead/substitute/a,b,c	0.0478 ± 0.00096 ms	0.047 ± 0.0009 ms	1.02 ± 0.028
polyform/easy_iszero	18.8 ± 0.37 μs	18.8 ± 0.32 μs	1 ± 0.026
polyform/isone	0.912 ± 0.02 ms	0.905 ± 0.018 ms	1.01 ± 0.03
polyform/isone:noop	0.15 ± 0.01 μs	0.16 ± 0.001 μs	0.938 ± 0.063
polyform/iszero	0.788 ± 0.018 ms	0.788 ± 0.017 ms	0.999 ± 0.032
polyform/iszero:noop	0.15 ± 0.001 μs	0.15 ± 0.001 μs	1 ± 0.0094
polyform/simplify_fractions	0.985 ± 0.019 ms	0.982 ± 0.048 ms	1 ± 0.053
printing/large_poly	0.199 ± 0.014 s	0.2 ± 0.015 s	0.997 ± 0.1
time_to_load	1.25 ± 0.0025 s	1.26 ± 0.01 s	0.995 ± 0.0084

Memory benchmarks

	master	30c8a98...	master / 30c8a98...
arithmetic/2-arg mul	0.058 k allocs: 1.78 kB	0.058 k allocs: 1.78 kB	1
arithmetic/addition	0.3 k allocs: 10.3 kB	0.3 k allocs: 10.3 kB	1
arithmetic/division	0.136 k allocs: 4.8 kB	0.136 k allocs: 4.8 kB	1
arithmetic/multiplication	0.254 k allocs: 6.5 kB	0.254 k allocs: 6.5 kB	1
overhead/acrule/a+2	0.033 k allocs: 1.11 kB	0.033 k allocs: 1.11 kB	1
overhead/acrule/a+2+b	0 allocs: 0 B	0 allocs: 0 B
overhead/acrule/a+b	0.044 k allocs: 1.52 kB	0.044 k allocs: 1.52 kB	1
overhead/acrule/noop:Int	0 allocs: 0 B	0 allocs: 0 B
overhead/acrule/noop:Sym	0 allocs: 0 B	0 allocs: 0 B
overhead/get_degrees/large_poly	0.601 M allocs: 18.4 MB	0.601 M allocs: 18.4 MB	1
overhead/rule/noop:Int	2 allocs: 0.0625 kB	2 allocs: 0.0625 kB	1
overhead/rule/noop:Sym	2 allocs: 0.0625 kB	2 allocs: 0.0625 kB	1
overhead/rule/noop:Term	2 allocs: 0.0625 kB	2 allocs: 0.0625 kB	1
overhead/ruleset/noop:Int	0 allocs: 0 B	0 allocs: 0 B
overhead/ruleset/noop:Sym	3 allocs: 0.109 kB	3 allocs: 0.109 kB	1
overhead/ruleset/noop:Term	12 allocs: 0.391 kB	12 allocs: 0.391 kB	1
overhead/simplify/noop:Int	0 allocs: 0 B	0 allocs: 0 B
overhead/simplify/noop:Sym	0 allocs: 0 B	0 allocs: 0 B
overhead/simplify/noop:Term	0.276 k allocs: 9.89 kB	0.276 k allocs: 9.89 kB	1
overhead/simplify/randterm (+, *):serial	2.09 M allocs: 0.0743 GB	2.09 M allocs: 0.0743 GB	1
overhead/simplify/randterm (+, *):thread	2.26 M allocs: 0.236 GB	2.26 M allocs: 0.236 GB	1
overhead/simplify/randterm (/, *):serial	0.78 k allocs: 28.2 kB	0.78 k allocs: 28.2 kB	1
overhead/simplify/randterm (/, *):thread	0.915 k allocs: 0.0324 MB	0.915 k allocs: 0.0324 MB	1
overhead/substitute/a	0.204 k allocs: 6.77 kB	0.204 k allocs: 6.77 kB	1
overhead/substitute/a,b	0.268 k allocs: 8.86 kB	0.268 k allocs: 8.86 kB	1
overhead/substitute/a,b,c	0.268 k allocs: 8.67 kB	0.268 k allocs: 8.67 kB	1
polyform/easy_iszero	0.09 k allocs: 2.86 kB	0.09 k allocs: 2.86 kB	1
polyform/isone	11.1 k allocs: 0.578 MB	11.1 k allocs: 0.578 MB	1
polyform/isone:noop	2 allocs: 32 B	2 allocs: 32 B	1
polyform/iszero	9.07 k allocs: 0.477 MB	9.07 k allocs: 0.477 MB	1
polyform/iszero:noop	2 allocs: 32 B	2 allocs: 32 B	1
polyform/simplify_fractions	11.6 k allocs: 0.595 MB	11.6 k allocs: 0.595 MB	1
printing/large_poly	2.19 M allocs: 0.0808 GB	2.19 M allocs: 0.0808 GB	1
time_to_load	0.145 k allocs: 11 kB	0.145 k allocs: 11 kB	1