chore!: remove deprecated hash functions from stdlib

[TomAFrench]

Description

Problem*

Resolves

Summary*

As we've pushed out 1.0.0-beta.3 which marks these functions as deprecated we can now remove them from the stdlib for the next release.

Additional Context

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: 328cc099a88a65f50dcacc1ed164cc500d7764de, compared to commit: 8516bbce2b5897ab29ef2f681407a335f5b7bbff

🧾 Summary (10% most significant diffs)

Program	Brillig opcodes (+/-)	%
conditional_regression_short_circuit_inliner_max	-973 ✅	-81.70%
6_inliner_zero	-675 ✅	-82.52%
6_inliner_min	-831 ✅	-84.45%
6_inliner_max	-976 ✅	-87.22%

---

Full diff report 👇

Program	Brillig opcodes (+/-)	%
brillig_cow_regression_inliner_max	1,295 (-680)	-34.43%
conditional_1_inliner_max	726 (-390)	-34.95%
brillig_cow_regression_inliner_zero	1,295 (-708)	-35.35%
brillig_cow_regression_inliner_min	1,383 (-849)	-38.04%
conditional_1_inliner_zero	676 (-415)	-38.04%
conditional_1_inliner_min	685 (-692)	-50.25%
array_dynamic_blackbox_input_inliner_max	388 (-417)	-51.80%
array_dynamic_nested_blackbox_input_inliner_max	343 (-493)	-58.97%
array_dynamic_nested_blackbox_input_inliner_zero	343 (-517)	-60.12%
array_dynamic_blackbox_input_inliner_zero	388 (-610)	-61.12%
array_dynamic_blackbox_input_inliner_min	409 (-823)	-66.80%
array_dynamic_nested_blackbox_input_inliner_min	353 (-806)	-69.54%
regression_4449_inliner_max	208 (-512)	-71.11%
ecdsa_secp256k1_inliner_max	249 (-624)	-71.48%
ecdsa_secp256k1_inliner_zero	249 (-648)	-72.24%
regression_4449_inliner_zero	208 (-545)	-72.38%
ram_blowup_regression_inliner_max	229 (-679)	-74.78%
conditional_regression_short_circuit_inliner_zero	225 (-672)	-74.92%
ram_blowup_regression_inliner_zero	229 (-690)	-75.08%
ram_blowup_regression_inliner_min	265 (-832)	-75.84%
conditional_regression_short_circuit_inliner_min	252 (-828)	-76.67%
regression_4449_inliner_min	218 (-822)	-79.04%
ecdsa_secp256k1_inliner_min	249 (-941)	-79.08%
conditional_regression_short_circuit_inliner_max	218 (-973)	-81.70%
6_inliner_zero	143 (-675)	-82.52%
6_inliner_min	153 (-831)	-84.45%
6_inliner_max	143 (-976)	-87.22%

[github-actions]

Changes to number of Brillig opcodes executed

Generated at commit: 328cc099a88a65f50dcacc1ed164cc500d7764de, compared to commit: 8516bbce2b5897ab29ef2f681407a335f5b7bbff

🧾 Summary (10% most significant diffs)

Program	Brillig opcodes (+/-)	%
6_inliner_max	-5,850 ✅	-84.82%
regression_4449_inliner_max	-196,303 ✅	-97.66%
regression_4449_inliner_zero	-219,475 ✅	-97.90%
regression_4449_inliner_min	-259,359 ✅	-98.21%

---

Full diff report 👇

Program	Brillig opcodes (+/-)	%
brillig_cow_regression_inliner_max	217,153 (-264,743)	-54.94%
ram_blowup_regression_inliner_max	320,100 (-404,702)	-55.84%
conditional_1_inliner_max	2,237 (-2,839)	-55.93%
conditional_1_inliner_zero	2,277 (-3,194)	-58.38%
array_dynamic_blackbox_input_inliner_max	7,113 (-10,086)	-58.64%
brillig_cow_regression_inliner_min	220,361 (-345,050)	-61.03%
conditional_1_inliner_min	2,290 (-3,634)	-61.34%
brillig_cow_regression_inliner_zero	217,153 (-344,690)	-61.35%
ram_blowup_regression_inliner_min	324,483 (-527,102)	-61.90%
ram_blowup_regression_inliner_zero	320,100 (-527,752)	-62.25%
array_dynamic_nested_blackbox_input_inliner_max	1,470 (-2,737)	-65.06%
array_dynamic_nested_blackbox_input_inliner_zero	1,470 (-2,967)	-66.87%
array_dynamic_blackbox_input_inliner_zero	7,113 (-14,384)	-66.91%
array_dynamic_blackbox_input_inliner_min	7,142 (-15,401)	-68.32%
array_dynamic_nested_blackbox_input_inliner_min	1,484 (-3,390)	-69.55%
conditional_regression_short_circuit_inliner_zero	1,126 (-3,356)	-74.88%
6_inliner_zero	1,047 (-3,358)	-76.23%
conditional_regression_short_circuit_inliner_min	1,165 (-3,739)	-76.24%
6_inliner_min	1,061 (-3,741)	-77.91%
ecdsa_secp256k1_inliner_max	1,378 (-5,209)	-79.08%
ecdsa_secp256k1_inliner_zero	1,378 (-6,284)	-82.02%
ecdsa_secp256k1_inliner_min	1,378 (-6,849)	-83.25%
conditional_regression_short_circuit_inliner_max	1,126 (-5,848)	-83.85%
6_inliner_max	1,047 (-5,850)	-84.82%
regression_4449_inliner_max	4,702 (-196,303)	-97.66%
regression_4449_inliner_zero	4,702 (-219,475)	-97.90%
regression_4449_inliner_min	4,716 (-259,359)	-98.21%

[github-actions]

Changes to circuit sizes

Generated at commit: 328cc099a88a65f50dcacc1ed164cc500d7764de, compared to commit: 8516bbce2b5897ab29ef2f681407a335f5b7bbff

🧾 Summary (10% most significant diffs)

Program	ACIR opcodes (+/-)	%	Circuit size (+/-)	%
6	-149 ✅	-68.04%	-4,907 ✅	-69.23%
regression_4449	-8,467 ✅	-99.06%	-282,657 ✅	-99.23%

---

Full diff report 👇

Program	ACIR opcodes (+/-)	%	Circuit size (+/-)	%
ecdsa_secp256k1	162 (-328)	-66.94%	39,325 (-4,236)	-9.72%
conditional_1	2,711 (-147)	-5.14%	8,116 (-2,171)	-21.10%
array_dynamic_nested_blackbox_input	129 (-116)	-47.35%	5,170 (-2,134)	-29.22%
conditional_regression_short_circuit	89 (-149)	-62.61%	4,942 (-2,164)	-30.45%
ram_blowup_regression	115,714 (-25,042)	-17.79%	378,185 (-265,074)	-41.21%
array_dynamic_blackbox_input	819 (-543)	-39.87%	9,756 (-11,626)	-54.37%
6	70 (-149)	-68.04%	2,181 (-4,907)	-69.23%
regression_4449	80 (-8,467)	-99.06%	2,207 (-282,657)	-99.23%

[github-actions]

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