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#A priliminary experiment result:

Benchmarking AsiaCCS_nizk_prove_2048: Warming up for 3.0000 s Warning: Unable to complete 10 samples in 5.0s. You may wish to increase target time to 6.8s. AsiaCCS_nizk_prove_2048 time: [674.51 ms 676.79 ms 679.25 ms]
change: [-1.0168% +0.1795% +1.1813%] (p = 0.78 > 0.05) No change in performance detected.

Benchmarking AsiaCCS_nizk_prove_3072: Warming up for 3.0000 s Warning: Unable to complete 10 samples in 5.0s. You may wish to increase target time to 21.2s. AsiaCCS_nizk_prove_3072 time: [2.0539 s 2.0721 s 2.0929 s]
change: [+0.8301% +1.7393% +2.9125%] (p = 0.00 < 0.05) Change within noise threshold.

Benchmarking AsiaCCS_nizk_prove_4096: Warming up for 3.0000 s Warning: Unable to complete 10 samples in 5.0s. You may wish to increase target time to 35.7s. AsiaCCS_nizk_prove_4096 time: [3.5527 s 3.5583 s 3.5636 s]
change: [-3.3889% -1.4143% -0.1622%] (p = 0.13 > 0.05) No change in performance detected.

Benchmarking AsiaCCS_nizk_verify_2048: Warming up for 3.0000 s Warning: Unable to complete 10 samples in 5.0s. You may wish to increase target time to 6.7s. AsiaCCS_nizk_verify_2048
time: [670.49 ms 678.35 ms 687.41 ms]

Benchmarking AsiaCCS_nizk_verify_3072: Warming up for 3.0000 s Warning: Unable to complete 10 samples in 5.0s. You may wish to increase target time to 20.3s. AsiaCCS_nizk_verify_3072
time: [2.0405 s 2.0546 s 2.0725 s] Found 2 outliers among 10 measurements (20.00%) 2 (20.00%) high severe

Benchmarking AsiaCCS_nizk_verify_4096: Warming up for 3.0000 s Warning: Unable to complete 10 samples in 5.0s. You may wish to increase target time to 35.5s. AsiaCCS_nizk_verify_4096
time: [3.5502 s 3.5535 s 3.5568 s]

Benchmarking hsmcl_nizk_prove_112_v0: Warming up for 3.0000 s Warning: Unable to complete 10 samples in 5.0s. You may wish to increase target time to 13.6s. hsmcl_nizk_prove_112_v0 time: [1.3641 s 1.3677 s 1.3720 s]

Benchmarking hsmcl_nizk_prove_128_v0: Warming up for 3.0000 s Warning: Unable to complete 10 samples in 5.0s. You may wish to increase target time to 23.1s. hsmcl_nizk_prove_128_v0 time: [2.3020 s 2.3047 s 2.3074 s]

Benchmarking hsmcl_nizk_verify_112_v0: Warming up for 3.0000 s Warning: Unable to complete 10 samples in 5.0s. You may wish to increase target time to 5.5s. hsmcl_nizk_verify_112_v0
time: [540.80 ms 543.16 ms 545.58 ms]

Benchmarking hsmcl_nizk_verify_128_v0: Warming up for 3.0000 s Warning: Unable to complete 10 samples in 5.0s. You may wish to increase target time to 7.2s. hsmcl_nizk_verify_128_v0
time: [716.71 ms 719.25 ms 722.27 ms] Found 1 outliers among 10 measurements (10.00%) 1 (10.00%) high mild

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