Time bar (total: 11.9s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 0% | 99.9% | 0.1% | 7 |
| 0% | 93.6% | 6.4% | 8 |
| 9.4% | 84.3% | 6.4% | 9 |
| 14.8% | 75.7% | 9.5% | 10 |
| 16% | 71.4% | 12.6% | 11 |
| 20.9% | 65.7% | 13.4% | 12 |
| 24.2% | 60.5% | 15.3% | 13 |
| 24.8% | 58.6% | 16.6% | 14 |
Compiled 31 to 24 computations (22.6% saved)
| 2.3s | 2206× | body | 1024 | valid |
| 1.2s | 4305× | body | 128 | valid |
| 761.0ms | 1171× | body | 512 | valid |
| 310.0ms | 801× | body | 128 | invalid |
| 255.0ms | 568× | body | 256 | valid |
| 10.0ms | 6× | body | 2048 | valid |
Compiled 92 to 71 computations (22.8% saved)
| 1× | egg-herbie |
| 640× | distribute-rgt-neg-in_binary64 |
| 474× | fma-neg_binary64 |
| 418× | distribute-lft-neg-in_binary64 |
| 379× | div-sub_binary64 |
| 378× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 35 |
| 1 | 49 | 28 |
| 2 | 100 | 28 |
| 3 | 195 | 28 |
| 4 | 391 | 28 |
| 5 | 1075 | 28 |
| 6 | 2543 | 28 |
| 7 | 4200 | 28 |
| 8 | 4955 | 28 |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
| ▶ | 12.6b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 x (tan.f64 B))) |
| 12.7b | (+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) 2) (*.f64 2 x)) (neg.f64 (/.f64 1 2))))) |
Compiled 153 to 108 computations (29.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (/.f64 F (sin.f64 B)) |
| ✓ | 0.2b | (/.f64 x (tan.f64 B)) |
| ✓ | 5.0b | (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) |
| ✓ | 18.2b | (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) |
4 calls:
| 133.0ms | (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) |
| 45.0ms | (/.f64 x (tan.f64 B)) |
| 41.0ms | (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) |
| 20.0ms | (/.f64 F (sin.f64 B)) |
| 1× | rewrite-expression-head |
| 44× | add-sqr-sqrt_binary64 |
| 31× | *-un-lft-identity_binary64 |
| 31× | add-cube-cbrt_binary64 |
| 30× | times-frac_binary64 |
| 22× | add-exp-log_binary64 |
4 calls:
| 8.0ms | (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) |
| 2.0ms | (/.f64 x (tan.f64 B)) |
| 2.0ms | (/.f64 F (sin.f64 B)) |
| 2.0ms | (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) |
| 1× | egg-herbie |
| 302× | fma-def_binary64 |
| 223× | *-commutative_binary64 |
| 221× | associate-*r*_binary64 |
| 218× | fma-neg_binary64 |
| 202× | +-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 500 | 5883 |
| 1 | 1360 | 5603 |
| 2 | 4518 | 5575 |
| 3 | 4984 | 5575 |
| 4 | 4932 | 5575 |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 261 | 10 | 271 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 263 | 10 | 273 |
| Status | Error | Program |
| 31.2b | (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) | |
| 12.7b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) | |
| 12.7b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (*.f64 x (/.f64 1 (tan.f64 B)))) | |
| 12.7b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2))) (/.f64 x (tan.f64 B))) | |
| 34.3b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (tan.f64 B)))) | |
| 12.7b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) | |
| 41.0b | (-.f64 (-.f64 (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 x (*.f64 (sin.f64 B) (pow.f64 F 2))) (/.f64 1 (*.f64 (sin.f64 B) (pow.f64 F 2))))) (/.f64 x (tan.f64 B))) | |
| ▶ | 10.7b | (-.f64 (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 12.7b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 1 (/.f64 (tan.f64 B) x))) | |
| 10.7b | (-.f64 (*.f64 F (/.f64 (pow.f64 (fma.f64 2 x (fma.f64 F F 2)) -1/2) (sin.f64 B))) (/.f64 x (tan.f64 B))) |
Compiled 10305 to 5770 computations (44% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.2b | (/.f64 x (tan.f64 B)) | |
| ✓ | 0.2b | (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) |
| ✓ | 0.2b | (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) |
| 18.2b | (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) |
2 calls:
| 137.0ms | (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) |
| 78.0ms | (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) |
| 1× | rewrite-expression-head |
| 17× | add-exp-log_binary64 |
| 12× | add-sqr-sqrt_binary64 |
| 9× | add-cbrt-cube_binary64 |
| 7× | associate-*r*_binary64 |
| 7× | *-un-lft-identity_binary64 |
2 calls:
| 4.0ms | (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) |
| 4.0ms | (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) |
| 1× | egg-herbie |
| 829× | fma-def_binary64 |
| 324× | cancel-sign-sub-inv_binary64 |
| 258× | sub-neg_binary64 |
| 210× | fma-neg_binary64 |
| 171× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 298 | 3456 |
| 1 | 819 | 3211 |
| 2 | 2879 | 3191 |
| 3 | 4806 | 3191 |
| 4 | 4973 | 3191 |
| 5 | 4942 | 3191 |
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 268 | 2 | 270 |
| Fresh | 2 | 7 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 270 | 10 | 280 |
| Status | Error | Program |
| 31.2b | (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) | |
| 12.7b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) | |
| 12.7b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (*.f64 x (/.f64 1 (tan.f64 B)))) | |
| 12.7b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2))) (/.f64 x (tan.f64 B))) | |
| 34.3b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (tan.f64 B)))) | |
| 12.7b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) | |
| 41.0b | (-.f64 (/.f64 (-.f64 1 (+.f64 (/.f64 x (pow.f64 F 2)) (/.f64 1 (pow.f64 F 2)))) (sin.f64 B)) (/.f64 x (tan.f64 B))) | |
| ▶ | 10.7b | (-.f64 (/.f64 1 (/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))) (/.f64 x (tan.f64 B))) |
| ✓ | 10.7b | (-.f64 (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 12.7b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 1 (/.f64 (tan.f64 B) x))) |
Compiled 10570 to 6434 computations (39.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.2b | (/.f64 x (tan.f64 B)) | |
| ✓ | 0.2b | (/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) |
| 0.2b | (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) | |
| 18.2b | (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2) |
1 calls:
| 77.0ms | (/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) |
| 1× | rewrite-expression-head |
| 11× | add-exp-log_binary64 |
| 6× | add-cbrt-cube_binary64 |
| 4× | div-exp_binary64 |
| 3× | associate-/l*_binary64 |
| 3× | *-un-lft-identity_binary64 |
1 calls:
| 5.0ms | (/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2))) |
| 1× | egg-herbie |
| 569× | associate-/r*_binary64 |
| 535× | associate-/l*_binary64 |
| 462× | fma-def_binary64 |
| 258× | cancel-sign-sub-inv_binary64 |
| 243× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 188 | 2019 |
| 1 | 522 | 1826 |
| 2 | 1745 | 1701 |
| 3 | 4757 | 1701 |
| 4 | 4970 | 1701 |
| 5 | 4962 | 1701 |
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 268 | 1 | 269 |
| Fresh | 1 | 7 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 269 | 10 | 279 |
| Status | Error | Program |
| 33.6b | (-.f64 (/.f64 1 (/.f64 (sin.f64 B) 1)) (/.f64 x (tan.f64 B))) | |
| ✓ | 10.7b | (-.f64 (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 31.2b | (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) | |
| 12.7b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) | |
| 12.7b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (*.f64 x (/.f64 1 (tan.f64 B)))) | |
| ▶ | 12.7b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2))) (/.f64 x (tan.f64 B))) |
| 34.3b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (tan.f64 B)))) | |
| 12.7b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) | |
| ✓ | 10.7b | (-.f64 (/.f64 1 (/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))) (/.f64 x (tan.f64 B))) |
| 12.7b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 1 (/.f64 (tan.f64 B) x))) |
Compiled 10774 to 6698 computations (37.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.2b | (/.f64 x (tan.f64 B)) | |
| ✓ | 0.7b | (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2)) |
| ✓ | 5.0b | (*.f64 (/.f64 F (sin.f64 B)) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2))) |
| ✓ | 18.1b | (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) |
3 calls:
| 143.0ms | (*.f64 (/.f64 F (sin.f64 B)) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2))) |
| 52.0ms | (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2)) |
| 29.0ms | (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) |
| 1× | rewrite-expression-head |
| 71× | add-exp-log_binary64 |
| 55× | add-sqr-sqrt_binary64 |
| 47× | prod-exp_binary64 |
| 44× | unpow-prod-down_binary64 |
| 25× | sqrt-prod_binary64 |
3 calls:
| 9.0ms | (*.f64 (/.f64 F (sin.f64 B)) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2))) |
| 8.0ms | (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2)) |
| 1.0ms | (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) |
| 1× | egg-herbie |
| 524× | times-frac_binary64 |
| 354× | associate-*r*_binary64 |
| 324× | fma-neg_binary64 |
| 229× | fma-def_binary64 |
| 219× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 410 | 6768 |
| 1 | 1109 | 6198 |
| 2 | 3893 | 6109 |
| 3 | 4892 | 6109 |
| 4 | 4904 | 6109 |
10 alts after pruning (7 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 361 | 0 | 361 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 361 | 10 | 371 |
| Status | Error | Program |
| 33.6b | (-.f64 (/.f64 1 (/.f64 (sin.f64 B) 1)) (/.f64 x (tan.f64 B))) | |
| ✓ | 10.7b | (-.f64 (/.f64 (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 31.2b | (-.f64 (/.f64 -1 (sin.f64 B)) (/.f64 x (tan.f64 B))) | |
| 12.7b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) | |
| 12.7b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (*.f64 x (/.f64 1 (tan.f64 B)))) | |
| ✓ | 12.7b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2) (pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 F F 2))) -1/2))) (/.f64 x (tan.f64 B))) |
| 34.3b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (tan.f64 B)))) | |
| 12.7b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) | |
| ✓ | 10.7b | (-.f64 (/.f64 1 (/.f64 (sin.f64 B) (*.f64 F (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)))) (/.f64 x (tan.f64 B))) |
| 12.7b | (-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 x 2 (fma.f64 F F 2)) -1/2)) (/.f64 1 (/.f64 (tan.f64 B) x))) |
Compiled 15712 to 9406 computations (40.1% saved)
Total 0.2b remaining (76.8%)
Threshold costs 0.2b (76.8%)
Compiled 21032 to 14588 computations (30.6% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 9 | 2.7884346193169787 | 38626262.338627286 | 37847795.092115104 |
| 9 | -2.386734405602019e+29 | -3.324188022566048e+22 | -3.3661477811092286e+22 |
Compiled 4 to 3 computations (25% saved)
| 1× | egg-herbie |
| 10× | +-commutative_binary64 |
| 9× | sub-neg_binary64 |
| 7× | *-commutative_binary64 |
| 5× | neg-sub0_binary64 |
| 5× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 99 |
| 1 | 46 | 99 |
| 2 | 60 | 99 |
| 3 | 75 | 99 |
| 4 | 83 | 99 |
| 5 | 86 | 99 |
| 6 | 84 | 99 |
Compiled 366 to 239 computations (34.7% saved)
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