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Convertible Senior Notes, Net - Schedule of Interest Expense Recognized Related to Convertible Senior Notes (Detail) - USD ($) | 3 Months Ended | 6 Months Ended
--- | --- | ---
Jul. 31, 2019 | Jul. 31, 2018 | Jul. 31, 2019 | Jul. 31, 2018
2018 Notes |  |  |  |
Debt Instrument [Line Items] |  |  |  |
Contractual interest expense |  | $ 540,000 |  | $ 1,196,000
Interest cost related to amortization of debt issuance costs | $ 0 | 289,000 | $ 0 | 641,000
Interest cost related to amortization of the debt discount |  | 3,567,000 |  | 7,850,000
2020 Notes |  |  |  |
Debt Instrument [Line Items] |  |  |  |
Contractual interest expense | 938,000 | 938,000 | 1,875,000 | 1,875,000
Interest cost related to amortization of debt issuance costs | 168,000 | 169,000 | 337,000 | 337,000
Interest cost related to amortization of the debt discount | 2,768,000 | 2,601,000 | 5,493,000 | 5,162,000
2022 Notes |  |  |  |
Debt Instrument [Line Items] |  |  |  |
Contractual interest expense | 719,000 | 719,000 | 1,438,000 | 1,438,000
Interest cost related to amortization of debt issuance costs | 715,000 | 715,000 | 1,429,000 | 1,429,000
Interest cost related to amortization of the debt discount | $ 10,650,000 | $ 10,175,000 | $ 21,179,000 | $ 20,236,000

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- Definition Amount of noncash expense included in interest expense to amortize debt discount and premium associated with the related debt instruments. Excludes amortization of financing costs. Alternate captions include noncash interest expense. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 835 -SubTopic 30 -Section 45 -Paragraph 1A -URI http://asc.fasb.org/extlink&oid=114775744&loc=d3e28541-108399 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 28 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=118932676&loc=d3e3602-108585 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 220 -SubTopic 10 -Section S99 -Paragraph 2 -Subparagraph (SX 210.5-03.8) -URI http://asc.fasb.org/extlink&oid=116634182&loc=SL114868664-224227 + Details
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- Definition Amount of amortization expense attributable to debt issuance costs. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 28 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=118932676&loc=d3e3602-108585 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 220 -SubTopic 10 -Section S99 -Paragraph 2 -Subparagraph (SX 210.5-03(8)) -URI http://asc.fasb.org/extlink&oid=116634182&loc=SL114868664-224227 Reference 3: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 835 -SubTopic 30 -Section 45 -Paragraph 3 -URI http://asc.fasb.org/extlink&oid=114775744&loc=d3e28555-108399 + Details
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- Definition Represents the portion of interest incurred in the period on debt arrangements that was charged against earnings, excluding amortization of debt discount (premium) and financing costs. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 220 -SubTopic 10 -Section S99 -Paragraph 2 -Subparagraph 8 -URI http://asc.fasb.org/extlink&oid=116634182&loc=SL114868664-224227 + Details
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