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chore: replace to_radix directive with brillig #9970

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Copies @guipublic's work from noir-lang/noir#6386 into this repository

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Changes to circuit sizes

Generated at commit: decf1d87bac064a26b2338f328d9026e1d24c5b3, compared to commit: 9370c91dbc9c7b8eb38236e2fa3637e92d7f3786

🧾 Summary (100% most significant diffs)

Program ACIR opcodes (+/-) % Circuit size (+/-) %
private_kernel_empty 0 ➖ 0.00% +41,200 ❌ +4.57%
parity_root 0 ➖ 0.00% +164,800 ❌ +4.53%
rollup_block_root 0 ➖ 0.00% +123,600 ❌ +4.51%
rollup_merge 0 ➖ 0.00% +82,400 ❌ +4.51%
rollup_root 0 ➖ 0.00% +82,400 ❌ +4.43%
rollup_block_merge 0 ➖ 0.00% +82,400 ❌ +4.43%
rollup_base_private 0 ➖ 0.00% +41,201 ❌ +1.21%
rollup_base_public 0 ➖ 0.00% +41,200 ❌ +1.10%

Full diff report 👇
Program ACIR opcodes (+/-) % Circuit size (+/-) %
private_kernel_empty 612 (0) 0.00% 942,839 (+41,200) +4.57%
parity_root 5,034 (0) 0.00% 3,801,552 (+164,800) +4.53%
rollup_block_root 4,489 (0) 0.00% 2,863,252 (+123,600) +4.51%
rollup_merge 3,419 (0) 0.00% 1,909,446 (+82,400) +4.51%
rollup_root 11,989 (0) 0.00% 1,940,906 (+82,400) +4.43%
rollup_block_merge 12,005 (0) 0.00% 1,940,920 (+82,400) +4.43%
rollup_base_private 335,062 (0) 0.00% 3,450,602 (+41,201) +1.21%
rollup_base_public 472,329 (0) 0.00% 3,786,954 (+41,200) +1.10%

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