[WIP] progress on rewrite lifting

[math-fehr]

This is the current status of proving the lifting between the soundness of local rewrites to module refinements

[github-actions]

VeIR Benchmarks

Details

Benchmark suite	Current: e0e8f6e	Previous: 7121200	Ratio
add-fold-worklist/create	1891000 ns (± 87617)	2183000 ns (± 82011)	0.87
add-fold-worklist/rewrite	3278000 ns (± 83052)	3979000 ns (± 44215)	0.82
add-fold-worklist-local/create	1987000 ns (± 97998)	2203000 ns (± 206240)	0.90
add-fold-worklist-local/rewrite	10131000 ns (± 185801)	3322500 ns (± 149674)	3.05
add-zero-worklist/create	1811000 ns (± 90262)	2193000 ns (± 110361)	0.83
add-zero-worklist/rewrite	2103000 ns (± 43738)	2529500 ns (± 48039)	0.83
add-zero-reuse-worklist/create	1582000 ns (± 61066)	1793000 ns (± 59231)	0.88
add-zero-reuse-worklist/rewrite	1806000 ns (± 64867)	2090000 ns (± 10991)	0.86
mul-two-worklist/create	1900000 ns (± 120241)	2213000 ns (± 95908)	0.86
mul-two-worklist/rewrite	4537500 ns (± 184953)	5671000 ns (± 163587)	0.80
add-fold-forwards/create	1939000 ns (± 94028)	2212000 ns (± 99204)	0.88
add-fold-forwards/rewrite	2497000 ns (± 23480)	3043000 ns (± 35886)	0.82
add-zero-forwards/create	1932000 ns (± 81571)	2229000 ns (± 105996)	0.87
add-zero-forwards/rewrite	1682000 ns (± 54948)	1950500 ns (± 79487)	0.86
add-zero-reuse-forwards/create	1514000 ns (± 74740)	1815000 ns (± 72102)	0.83
add-zero-reuse-forwards/rewrite	1337000 ns (± 12806)	1544000 ns (± 24238)	0.87
mul-two-forwards/create	1947000 ns (± 93371)	2182000 ns (± 60400)	0.89
mul-two-forwards/rewrite	2931000 ns (± 102233)	3631000 ns (± 79364)	0.81
add-zero-reuse-first/create	1611500 ns (± 88661)	1811000 ns (± 71387)	0.89
add-zero-reuse-first/rewrite	11000 ns (± 1846)	8000 ns (± 1404)	1.38
add-zero-lots-of-reuse-first/create	1590000 ns (± 86049)	1884000 ns (± 71613)	0.84
add-zero-lots-of-reuse-first/rewrite	695000 ns (± 51005)	774000 ns (± 37689)	0.90

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