Revenue Recognition - Narrative (Details) - USD ($) $ / shares in Units, $ in Thousands		3 Months Ended		9 Months Ended
	Dec. 28, 2021	Jan. 28, 2023	Jan. 31, 2022	Jan. 28, 2023	Jan. 31, 2022	Sep. 30, 2021
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Previously deferred revenue recognized		$ 1,100	$ 300	$ 1,100	$ 4,000
Increase in contract assets				9,185	5,239
Increase in deferred revenue				2,300
Unsatisfied performance obligation, amount		11,700		11,700
Previously satisfied performance obligation, amount				10,100
Total revenue		54,270	$ 31,800	152,106	68,951
Number of shares called by warrant (in shares)	4,080,000
Exercise of warrants, price per share (in US dollars per share)	$ 10.74
Number of shares vested upon warrant exercise (in shares)	40,000
Maximum aggregate payments over contract term	$ 201,000
Grant date fair value of warrant (in US dollars per share)	$ 4.65
Warrant contra revenue		300		$ 895	$ 407
Customer warrants
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Vested in period (in shares)				80,000
IP Licensing and Development Contract Customer
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Billed revenue from contract with customer		$ 22,200		$ 22,200
Total revenue				$ 32,700
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2021-10-01 | IP Licensing and Development Contract Customer
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Revenue, remaining performance obligation, period						3 years
Revenue, remaining performance obligation, amount						$ 43,500