a benchmark of a PlutusTx implementation of the bls12-381 fields against different operations. Note that the cost model is against a fork of plutus which uses a preliminary cost model for the new plutus base machine.
| Scalars Field Operations (mod q) | FP Field Operations (mod p) |
|---|---|
n scalars field additions (size 32 bytes mod q)
n Script size CPU usage Memory usage
----------------------------------------------------------------------
0 97 (0.6%) 897100 (0.0%) 4000 (0.0%)
10 507 (3.1%) 15143830 (0.2%) 37060 (0.3%)
20 919 (5.6%) 29390560 (0.3%) 70120 (0.5%)
30 1330 (8.1%) 43637290 (0.4%) 103180 (0.7%)
40 1742 (10.6%) 57884020 (0.6%) 136240 (1.0%)
50 2154 (13.1%) 72130750 (0.7%) 169300 (1.2%)
60 2560 (15.6%) 86377480 (0.9%) 202360 (1.4%)
70 2973 (18.1%) 100624210 (1.0%) 235420 (1.7%)
80 3386 (20.7%) 114870940 (1.1%) 268480 (1.9%)
90 3793 (23.2%) 129117670 (1.3%) 301540 (2.2%)
100 4210 (25.7%) 143364400 (1.4%) 334600 (2.4%)
n scalars field multiplications (size 32 bytes mod q)
n Script size CPU usage Memory usage
----------------------------------------------------------------------
0 97 (0.6%) 897100 (0.0%) 4000 (0.0%)
10 507 (3.1%) 14681499 (0.1%) 37114 (0.3%)
20 916 (5.6%) 28504479 (0.3%) 70234 (0.5%)
30 1333 (8.1%) 42327459 (0.4%) 103354 (0.7%)
40 1743 (10.6%) 56150439 (0.6%) 136474 (1.0%)
50 2149 (13.1%) 69973419 (0.7%) 169594 (1.2%)
60 2560 (15.6%) 83796399 (0.8%) 202714 (1.4%)
70 2974 (18.2%) 97619379 (1.0%) 235834 (1.7%)
80 3387 (20.7%) 111442359 (1.1%) 268954 (1.9%)
90 3792 (23.1%) 125265339 (1.3%) 302074 (2.2%)
100 4208 (25.7%) 139088319 (1.4%) 335194 (2.4%)
n scalars field exponentiations via bitshifts (size 32 bytes mod q)
n Script size CPU usage Memory usage
----------------------------------------------------------------------
0 207 (1.3%) 1518100 (0.0%) 6700 (0.0%)
1 248 (1.5%) 895988153 (9.0%) 1789666 (12.8%)
2 288 (1.8%) 1790458206 (17.9%) 3572632 (25.5%)
3 331 (2.0%) 2684928259 (26.8%) 5355598 (38.3%)
4 372 (2.3%) 3579398312 (35.8%) 7138564 (51.0%)
5 413 (2.5%) 4473868365 (44.7%) 8921530 (63.7%)
6 453 (2.8%) 5368338418 (53.7%) 10704496 (76.5%)
7 494 (3.0%) 6262808471 (62.6%) 12487462 (89.2%)
8 536 (3.3%) 7157278524 (71.6%) 14270428 (101.9%)
9 573 (3.5%) 8051748577 (80.5%) 16053394 (114.7%)
10 618 (3.8%) 8946218630 (89.5%) 17836360 (127.4%)
n scalars field exponentiations via powMod (size 32 bytes mod q)
n Script size CPU usage Memory usage
----------------------------------------------------------------------
0 237 (1.4%) 1449100 (0.0%) 6400 (0.0%)
1 278 (1.7%) 1207711984 (12.1%) 2003368 (14.3%)
2 320 (2.0%) 2413974868 (24.1%) 4000336 (28.6%)
3 361 (2.2%) 3620237752 (36.2%) 5997304 (42.8%)
4 400 (2.4%) 4826500636 (48.3%) 7994272 (57.1%)
5 441 (2.7%) 6032763520 (60.3%) 9991240 (71.4%)
6 483 (2.9%) 7239026404 (72.4%) 11988208 (85.6%)
7 523 (3.2%) 8445289288 (84.5%) 13985176 (99.9%)
8 566 (3.5%) 9651552172 (96.5%) 15982144 (114.2%)
9 605 (3.7%) 10857815056 (108.6%) 17979112 (128.4%)
10 647 (3.9%) 12064077940 (120.6%) 19976080 (142.7%)
n scalars field inversion via ext euclidean algo(size 32 bytes mod q)
n Script size CPU usage Memory usage
----------------------------------------------------------------------
0 235 (1.4%) 1449100 (0.0%) 6400 (0.0%)
1 277 (1.7%) 466954197 (4.7%) 1092348 (7.8%)
2 318 (1.9%) 1001337219 (10.0%) 2338168 (16.7%)
3 358 (2.2%) 1424332447 (14.2%) 3325163 (23.8%)
4 399 (2.4%) 1948380516 (19.5%) 4548078 (32.5%)
5 441 (2.7%) 2463648027 (24.6%) 5748298 (41.1%)
6 483 (2.9%) 3043206903 (30.4%) 7100603 (50.7%)
7 522 (3.2%) 3414387173 (34.1%) 7965882 (56.9%)
8 563 (3.4%) 3863175007 (38.6%) 9013716 (64.4%)
9 603 (3.7%) 4266968333 (42.7%) 9955103 (71.1%)
10 646 (3.9%) 4970209051 (49.7%) 11596565 (82.8%) |
n fp field additions (size 48 bytes mod p)
n Script size CPU usage Memory usage
----------------------------------------------------------------------
0 115 (0.7%) 897100 (0.0%) 4000 (0.0%)
10 706 (4.3%) 15204070 (0.2%) 37080 (0.3%)
20 1297 (7.9%) 29511040 (0.3%) 70160 (0.5%)
30 1891 (11.5%) 43818010 (0.4%) 103240 (0.7%)
40 2483 (15.2%) 58124980 (0.6%) 136320 (1.0%)
50 3075 (18.8%) 72431950 (0.7%) 169400 (1.2%)
60 3666 (22.4%) 86738920 (0.9%) 202480 (1.4%)
70 4255 (26.0%) 101045890 (1.0%) 235560 (1.7%)
80 4847 (29.6%) 115352860 (1.2%) 268640 (1.9%)
90 5438 (33.2%) 129659830 (1.3%) 301720 (2.2%)
100 6032 (36.8%) 143966800 (1.4%) 334800 (2.4%)
n fp field multiplications (size 48 bytes mod p)
n Script size CPU usage Memory usage
----------------------------------------------------------------------
0 115 (0.7%) 897100 (0.0%) 4000 (0.0%)
10 705 (4.3%) 15209205 (0.2%) 37170 (0.3%)
20 1300 (7.9%) 29587665 (0.3%) 70350 (0.5%)
30 1890 (11.5%) 43966125 (0.4%) 103530 (0.7%)
40 2483 (15.2%) 58344585 (0.6%) 136710 (1.0%)
50 3074 (18.8%) 72723045 (0.7%) 169890 (1.2%)
60 3665 (22.4%) 87101505 (0.9%) 203070 (1.5%)
70 4258 (26.0%) 101479965 (1.0%) 236250 (1.7%)
80 4851 (29.6%) 115858425 (1.2%) 269430 (1.9%)
90 5443 (33.2%) 130236885 (1.3%) 302610 (2.2%)
100 6034 (36.8%) 144615345 (1.4%) 335790 (2.4%)
n fp field exponentiations via bitshifts (size 48 bytes mod p)
n Script size CPU usage Memory usage
----------------------------------------------------------------------
0 225 (1.4%) 1518100 (0.0%) 6700 (0.0%)
1 284 (1.7%) 921845747 (9.2%) 1792366 (12.8%)
2 343 (2.1%) 1842173394 (18.4%) 3578032 (25.6%)
3 403 (2.5%) 2762501041 (27.6%) 5363698 (38.3%)
4 462 (2.8%) 3682828688 (36.8%) 7149364 (51.1%)
5 521 (3.2%) 4603156335 (46.0%) 8935030 (63.8%)
6 579 (3.5%) 5523483982 (55.2%) 10720696 (76.6%)
7 640 (3.9%) 6443811629 (64.4%) 12506362 (89.3%)
8 699 (4.3%) 7364139276 (73.6%) 14292028 (102.1%)
9 757 (4.6%) 8284466923 (82.8%) 16077694 (114.8%)
10 815 (5.0%) 9204794570 (92.0%) 17863360 (127.6%)
n fp field exponentiations via powMod (size 48 bytes mod p)
n Script size CPU usage Memory usage
----------------------------------------------------------------------
0 255 (1.6%) 1449100 (0.0%) 6400 (0.0%)
1 314 (1.9%) 1230958822 (12.3%) 2005878 (14.3%)
2 374 (2.3%) 2460468544 (24.6%) 4005356 (28.6%)
3 433 (2.6%) 3689978266 (36.9%) 6004834 (42.9%)
4 491 (3.0%) 4919487988 (49.2%) 8004312 (57.2%)
5 549 (3.4%) 6148997710 (61.5%) 10003790 (71.5%)
6 611 (3.7%) 7378507432 (73.8%) 12003268 (85.7%)
7 669 (4.1%) 8608017154 (86.1%) 14002746 (100.0%)
8 728 (4.4%) 9837526876 (98.4%) 16002224 (114.3%)
9 787 (4.8%) 11067036598 (110.7%) 18001702 (128.6%)
10 847 (5.2%) 12296546320 (123.0%) 20001180 (142.9%)
n base field inversion via ext euclidean algo(size 48 bytes mod p)
n Script size CPU usage Memory usage
----------------------------------------------------------------------
0 253 (1.5%) 1449100 (0.0%) 6400 (0.0%)
1 313 (1.9%) 689507403 (6.9%) 1602764 (11.4%)
2 372 (2.3%) 1399703470 (14.0%) 3252314 (23.2%)
3 430 (2.6%) 2053889844 (20.5%) 4772406 (34.1%)
4 490 (3.0%) 3001332957 (30.0%) 6970218 (49.8%)
5 550 (3.4%) 3767662207 (37.7%) 8749231 (62.5%)
6 608 (3.7%) 4382571852 (43.8%) 10177982 (72.7%)
7 667 (4.1%) 5099568962 (51.0%) 11842785 (84.6%)
8 725 (4.4%) 5960271526 (59.6%) 13842488 (98.9%)
9 787 (4.8%) 6369870535 (63.7%) 14791795 (105.7%)
10 845 (5.2%) 7340117606 (73.4%) 17042865 (121.7%) |