generated at
expense

noun
the cost required for something; the money spent on something:
費用, 出費, 物入り (!具体例では~s; その際しばしば修飾語を伴う)
e.g. we had ordered suits at great expense
e.g. the committee does not expect members to be put to any expense.
(expenses) the costs incurred in the performance of one's job or a specific task, especially one undertaken for another person:
〖~s〗 (業務上の)必要経費, 支出金; (給与以外の)所要経費, 実費, 手当
e.g. his hotel and travel expenses.
a thing on which one is required to spend money:
〖通例単数形で〗出費を要するもの[事]
e.g. tolls are a daily expense.

verb with object (usually be expensed)
offset (an item of expenditure) as an expense against taxable income.

PHRASES
paid for by someone:
e.g. the document was printed at the taxpayer's expense.
with someone as the victim, especially of a joke:
e.g. my friends all had a good laugh at my expense.

so as to cause harm to or neglect of:
e.g. the pursuit of profit at the expense of the environment
e.g. language courses that emphasize communication skills at the expense of literature.

ORIGIN
late Middle English: from Anglo-Norman French, alteration of Old French espense, from late Latin expensa (pecunia) ‘(money) spent’, from Latin expenderepay out’ (see expend).