[chore] Clean up legacy access adapter code

[nyunyunyunyu]

No description provided.

[github-actions]

Benchmarks

group	app_log_blowup	app_total_cells_used	app_total_cycles	app_total_proof_time_ms	leaf_log_blowup	leaf_total_cells_used	leaf_total_cycles	leaf_total_proof_time_ms	max_segment_length	instance	alloc
ecrecover_program	2	10,251,804	195,066	(+20.0 [+1.0%]) 2,002.0	-	-	-	-	1048476	64cpu-linux-arm64	mimalloc
fibonacci_program	2	51,615,800	3,000,274	(-107.0 [-1.9%]) 5,507.0	-	-	-	-	1048476	64cpu-linux-arm64	mimalloc
regex_program	2	238,890,449	8,381,808	(-677.0 [-3.9%]) 16,853.0	-	-	-	-	1048476	64cpu-linux-arm64	mimalloc
verify_fibair	2	(+1,190 [+0.0%]) 48,127,077	(+140 [+0.0%]) 397,234	(+57.0 [+1.8%]) 3,142.0	-	-	-	-	1048476	64cpu-linux-arm64	mimalloc

E2E Benchmarks

group	app_log_blowup	app_total_cells_used	app_total_cycles	app_total_proof_time_ms	leaf_log_blowup	leaf_total_cells_used	leaf_total_cycles	leaf_total_proof_time_ms	root_log_blowup	root_total_cells_used	root_total_cycles	root_total_proof_time_ms	internal_log_blowup	internal_total_cells_used	internal_total_cycles	internal_total_proof_time_ms	max_segment_length	instance	alloc
app_proof	2	411,172,110	24,000,274	38,379.0	-	-	-	-	-	-	-	-	2	853,364,606	43,358,300	80,139.0	1048476	64cpu-linux-arm64	mimalloc

Commit: 7bead81

Benchmark Workflow