chore: clarify to_radix docs examples

[iAmMichaelConnor]

Description

The current example always forces my brain to think, because the choice of converting 2 to base 256 doesn't actually demonstrate what to_radix does, because 2 base 256 is just 2.

I'm suggesting using a number larger than the base instead (259), so that we can see that it results in [3, 1] and [1, 3] for le and be cases resp.

Documentation*

Check one:

• No documentation needed.
• Documentation included in this PR.
• [For Experimental Features] Documentation to be submitted in a separate PR.

PR Checklist*

• I have tested the changes locally.
• I have formatted the changes with Prettier and/or cargo fmt on default settings.

[github-actions]

Changes to Brillig bytecode sizes

Generated at commit: 040f50f15dc87dccb18f471d0051dcdf070086bc, compared to commit: b602c23e3f96878124e711ccfd8108c0fc1fa827

🧾 Summary (10% most significant diffs)

Program	Brillig opcodes (+/-)	%
fold_basic_nested_call_inliner_min	-12 ✅	-19.35%
binary_operator_overloading_inliner_min	-90 ✅	-20.09%
binary_operator_overloading_inliner_zero	-90 ✅	-28.30%
fold_basic_inliner_min	-24 ✅	-38.71%

---

Full diff report 👇

Program	Brillig opcodes (+/-)	%
poseidon2_inliner_min	378 (+1)	+0.27%
regression_5252_inliner_min	3,571 (+1)	+0.03%
global_var_regression_entry_points_inliner_min	133,784 (-80)	-0.06%
global_var_regression_entry_points_inliner_zero	133,757 (-87)	-0.07%
hashmap_inliner_min	9,791 (-13)	-0.13%
uhashmap_inliner_min	8,330 (-26)	-0.31%
slices_inliner_zero	2,084 (-9)	-0.43%
sha256_var_padding_regression_inliner_zero	2,928 (-19)	-0.64%
sha256_var_padding_regression_inliner_min	3,216 (-22)	-0.68%
hashmap_inliner_zero	7,835 (-54)	-0.68%
conditional_regression_short_circuit_inliner_min	1,117 (-8)	-0.71%
6_inliner_min	1,016 (-8)	-0.78%
conditional_regression_short_circuit_inliner_zero	917 (-8)	-0.86%
higher_order_functions_inliner_min	1,337 (-12)	-0.89%
6_inliner_zero	835 (-8)	-0.95%
sha256_inliner_min	1,395 (-19)	-1.34%
u128_inliner_min	2,263 (-32)	-1.39%
sha256_inliner_zero	1,234 (-19)	-1.52%
u128_inliner_zero	1,957 (-32)	-1.61%
7_function_inliner_zero	518 (-14)	-2.63%
aes128_encrypt_inliner_zero	388 (-11)	-2.76%
6_array_inliner_min	446 (-16)	-3.46%
6_array_inliner_zero	436 (-16)	-3.54%
brillig_nested_arrays_inliner_zero	241 (-19)	-7.31%
u16_support_inliner_min	59 (-6)	-9.23%
u16_support_inliner_zero	59 (-6)	-9.23%
brillig_cow_inliner_zero	239 (-33)	-12.13%
fold_basic_nested_call_inliner_min	50 (-12)	-19.35%
binary_operator_overloading_inliner_min	358 (-90)	-20.09%
binary_operator_overloading_inliner_zero	228 (-90)	-28.30%
fold_basic_inliner_min	38 (-24)	-38.71%

[github-actions]

Changes to number of Brillig opcodes executed

Generated at commit: 040f50f15dc87dccb18f471d0051dcdf070086bc, compared to commit: b602c23e3f96878124e711ccfd8108c0fc1fa827

🧾 Summary (10% most significant diffs)

Program	Brillig opcodes (+/-)	%
conditional_regression_short_circuit_inliner_min	-3,793 ✅	-43.32%
6_inliner_min	-3,793 ✅	-43.85%
binary_operator_overloading_inliner_zero	-236 ✅	-50.64%
fold_basic_inliner_min	-40 ✅	-51.28%

---

Full diff report 👇

Program	Brillig opcodes (+/-)	%
poseidon2_inliner_min	873 (+1)	+0.11%
regression_5252_inliner_min	1,031,270 (+2)	+0.00%
uhashmap_inliner_min	196,981 (-180)	-0.09%
hashmap_inliner_min	90,362 (-179)	-0.20%
global_var_regression_entry_points_inliner_min	135,432 (-288)	-0.21%
global_var_regression_entry_points_inliner_zero	135,311 (-336)	-0.25%
higher_order_functions_inliner_min	2,273 (-18)	-0.79%
hashmap_inliner_zero	74,602 (-626)	-0.83%
7_function_inliner_zero	2,439 (-35)	-1.41%
slices_inliner_zero	3,594 (-70)	-1.91%
u128_inliner_min	48,483 (-3,734)	-7.15%
u128_inliner_zero	40,944 (-3,510)	-7.90%
aes128_encrypt_inliner_zero	3,075 (-364)	-10.58%
6_array_inliner_min	2,540 (-350)	-12.11%
6_array_inliner_zero	2,470 (-350)	-12.41%
sha256_var_padding_regression_inliner_min	231,918 (-35,338)	-13.22%
sha256_var_padding_regression_inliner_zero	230,407 (-35,186)	-13.25%
sha256_inliner_min	12,303 (-4,253)	-25.69%
sha256_inliner_zero	11,358 (-3,938)	-25.75%
brillig_nested_arrays_inliner_zero	301 (-145)	-32.51%
brillig_cow_inliner_zero	803 (-399)	-33.19%
binary_operator_overloading_inliner_min	402 (-236)	-36.99%
u16_support_inliner_min	51 (-31)	-37.80%
u16_support_inliner_zero	51 (-31)	-37.80%
fold_basic_nested_call_inliner_min	54 (-36)	-40.00%
conditional_regression_short_circuit_inliner_zero	4,520 (-3,392)	-42.87%
6_inliner_zero	4,440 (-3,392)	-43.31%
conditional_regression_short_circuit_inliner_min	4,962 (-3,793)	-43.32%
6_inliner_min	4,856 (-3,793)	-43.85%
binary_operator_overloading_inliner_zero	230 (-236)	-50.64%
fold_basic_inliner_min	38 (-40)	-51.28%

[github-actions]

Changes to circuit sizes

Generated at commit: 040f50f15dc87dccb18f471d0051dcdf070086bc, compared to commit: b602c23e3f96878124e711ccfd8108c0fc1fa827

🧾 Summary (10% most significant diffs)

Program	ACIR opcodes (+/-)	%	Circuit size (+/-)	%
conditional_regression_short_circuit	-127 ✅	-34.79%	-4,031 ✅	-36.19%
6	-127 ✅	-36.71%	-4,030 ✅	-36.25%

---

Full diff report 👇

Program	ACIR opcodes (+/-)	%	Circuit size (+/-)	%
pedersen_check	15 (-4)	-21.05%	3,170 (-2)	-0.06%
global_var_regression_simple	66 (-61)	-48.03%	2,914 (-152)	-4.96%
fold_call_witness_condition	4 (-1)	-20.00%	18 (-1)	-5.26%
fold_basic	1 (-4)	-80.00%	16 (-1)	-5.88%
fold_basic_nested_call	1 (-2)	-66.67%	16 (-1)	-5.88%
sha256_var_padding_regression	3,468 (-350)	-9.17%	162,236 (-31,417)	-16.22%
sha256	1,279 (-157)	-10.93%	20,564 (-4,019)	-16.35%
global_var_regression_entry_points	6 (-20)	-76.92%	18 (-10)	-35.71%
conditional_regression_short_circuit	238 (-127)	-34.79%	7,106 (-4,031)	-36.19%
6	219 (-127)	-36.71%	7,088 (-4,030)	-36.25%

[github-actions]

⚠️ Performance Alert ⚠️

Possible performance regression was detected for benchmark 'Test Suite Duration'.
Benchmark result of this commit is worse than the previous benchmark result exceeding threshold 1.20.

Benchmark suite	Current: 1efdd58	Previous: 9f21824	Ratio
noir-lang_mimc_	1 s	0 s	+∞

This comment was automatically generated by workflow using github-action-benchmark.

CC: @TomAFrench