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Employee benefits (Tables) | 12 Months Ended
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Dec. 31, 2023
Employee benefits |
Schedule of reconciliations of defined benefit obligation at present value and plan asset at fair value | ​
​ | ​ | ​ | ​ | ​ | ​
​ |  | December 31, |  | December 31,
​ | ​ | 2022 | ​ | 2023
​ | ​ | ​ | (in thousands)
Present value of the defined benefit obligations | ​ | $ | 3,060 | ​ | 3,114
Fair value of plan assets | ​ |  | (4,307) |  | (4,382)
Prepaid pension costs | ​ | $ | (1,247) |  | (1,268)
Schedule of movements in present value of the defined benefit obligations | ​
​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Year ended December 31,
​ |  | 2022 |  | 2023
​ | ​ | (in thousands)
Balance at beginning of year | ​ | $ | 3,489 |  | 3,060
Service costs | ​ |  | 4 |  | 5
Interest expense | ​ |  | 27 |  | 42
Remeasurements loss (gain): | ​ |  |  |  |
Actuarial loss (gain) arising from: | ​ |  | ​ |  | ​
-Changes in demographic assumptions | ​ |  | 24 |  | —
-Experience adjustment | ​ |  | 167 |  | (20)
-Change in financial assumptions | ​ |  | (551) |  | 42
Effect of changes in exchange rates | ​ |  | (100) |  | (15)
Balance at end of year | ​ | $ | 3,060 |  | 3,114
Schedule of movements in the fair value of plan assets | ​
​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Year ended December 31,
​ |  | 2022 |  | 2023
​ | ​ | (in thousands)
Balance at beginning of year | ​ | $ | 4,065 |  | 4,307
Interest income | ​ |  | 31 | ​ | 60
Remeasurements gain: | ​ |  | ​ | ​ | ​
-Return on plan assets excluding interest income | ​ |  | 305 |  | 31
Actual benefits paid | ​ |  | — |  | (17)
Effect of changes in exchange rate | ​ |  | (94) |  | 1
Balance at end of year | ​ | $ | 4,307 |  | 4,382
Schedule of expenses recognized in profit or loss | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Year ended December 31,
​ |  | 2021 | ​ | 2022 |  | 2023
​ | ​ | (in thousands)
Current service costs | ​ | $ | — | ​ | 4 |  | 5
Interest income | ​ | ​ | (2) | ​ | (4) |  | (18)
​ | ​ | $ | (2) | ​ | — |  | (13)
Cost of revenues | ​ | $ | 6 | ​ | 3 |  | —
Research and development | ​ | ​ | (8) | ​ | (3) |  | (13)
General and administrative | ​ | ​ | — | ​ | — |  | —
Sales and marketing | ​ | ​ | — | ​ | — |  | —
​ | ​ | $ | (2) | ​ | — |  | (13)
Schedule of remeasurement of net defined benefit liability recognized in other comprehensive income | ​
​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Year ended December 31,
​ |  | 2022 |  | 2023
​ | ​ | (in thousands)
Balance at beginning of year | ​ | $ | (22) |  | (599)
Recognized during the period | ​ |  | (577) |  | (11)
Balance at end of year | ​ | $ | (599) |  | (610)
Schedule of principal actuarial assumptions | ​
​ | ​ | ​ | ​ | ​ | ​
​ |  | December 31, |  | December 31, |
​ | ​ | 2022 | ​ | 2023 |
Discount rate |  | 1.4%-1.41% | ​ | 1.31% | ​
Rate of increase in compensation levels |  | 3.00% | ​ | 3.00% | ​
Schedule of sensitivity analysis | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | December 31, 2022 | ​ | December 31, 2023
​ |  | + 0.5% |  | - 0.5% |  | + 0.5% |  | ‑0.5%
​ | ​ | (in thousands)
Discount rate |  | (238) |  | 261 |  | (230) |  | 251
Rate of increase in compensation levels |  | 255 |  | (235) |  | 245 |  | (227)
Schedule of cash award expenses related to tax effects | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Year ended December 31,
​ | ​ | 2021 | ​ | 2022 | ​ | 2023
​ | ​ | (in thousands)
Cost of revenues | ​ | $ | 511 | ​ | 505 | ​ | 174
Research and development | ​ | ​ | 5,876 | ​ | 20,792 | ​ | 15,273
General and administrative | ​ | ​ | 678 | ​ | 2,250 | ​ | 1,401
Sales and marketing | ​ | ​ | 1,223 | ​ | 4,147 | ​ | 2,797
Total compensation | ​ | $ | 8,288 | ​ | 27,694 | ​ | 19,645
Income tax benefit | ​ | $ | 1,444 | ​ | 5,641 | ​ | 4,167
​

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