Time bar (total: 12.5s)
| 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% | 74.9% | 25.1% | 4 |
| 12.5% | 62.4% | 25.1% | 5 |
| 25% | 37.5% | 37.6% | 6 |
| 31.2% | 31.2% | 37.6% | 7 |
| 37.5% | 18.7% | 43.8% | 8 |
| 39% | 15.6% | 45.4% | 9 |
| 42.1% | 9.4% | 48.5% | 10 |
| 42.9% | 7.8% | 49.3% | 11 |
| 44.5% | 4.7% | 50.8% | 12 |
| 44.9% | 3.9% | 51.2% | 13 |
| 45.7% | 2.3% | 52% | 14 |
Compiled 11 to 8 computations (27.3% saved)
| 874.0ms | 8254× | body | 128 | valid |
| 26.0ms | 212× | body | 128 | invalid |
| 1.0ms | 2× | body | 1024 | valid |
Compiled 32 to 23 computations (28.1% saved)
| 1× | egg-herbie |
| 151× | fma-def_binary64 |
| 131× | fma-neg_binary64 |
| 45× | cancel-sign-sub-inv_binary64 |
| 38× | sub-neg_binary64 |
| 31× | unsub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 16 | 10 |
| 2 | 37 | 10 |
| 3 | 63 | 10 |
| 4 | 127 | 10 |
| 5 | 233 | 10 |
| 6 | 324 | 10 |
| 7 | 361 | 10 |
| 8 | 400 | 10 |
| 9 | 414 | 10 |
| 10 | 383 | 10 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
| ▶ | 0.1b | (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) |
Compiled 35 to 22 computations (37.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) |
1 calls:
| 9.0ms | (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) |
| 1× | rewrite-expression-head |
| 1× | *-un-lft-identity_binary64 |
| 1× | add-sqr-sqrt_binary64 |
| 1× | add-cube-cbrt_binary64 |
| 1× | add-cbrt-cube_binary64 |
| 1× | add-exp-log_binary64 |
1 calls:
| 0.0ms | (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) |
| 1× | egg-herbie |
| 709× | distribute-rgt-in_binary64 |
| 693× | distribute-lft-in_binary64 |
| 571× | neg-mul-1_binary64 |
| 544× | unsub-neg_binary64 |
| 296× | associate-+l+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 263 |
| 1 | 34 | 241 |
| 2 | 94 | 241 |
| 3 | 413 | 241 |
| 4 | 2431 | 241 |
| 5 | 4317 | 241 |
| 6 | 4957 | 241 |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 23 | 2 | 25 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 23 | 3 | 26 |
| Status | Error | Program |
| 35.1b | (*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) | |
| ▶ | 0.9b | (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) |
| ✓ | 0.1b | (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) |
Compiled 358 to 198 computations (44.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.1b | (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) | |
| ✓ | 0.2b | (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) |
| ✓ | 0.4b | (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) |
| ✓ | 0.4b | (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) |
3 calls:
| 142.0ms | (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) |
| 77.0ms | (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) |
| 10.0ms | (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) |
| 1× | rewrite-expression-head |
| 29× | pow1_binary64 |
| 24× | add-sqr-sqrt_binary64 |
| 23× | cbrt-prod_binary64 |
| 16× | pow1/3_binary64 |
| 14× | *-un-lft-identity_binary64 |
3 calls:
| 6.0ms | (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) |
| 4.0ms | (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) |
| 1.0ms | (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) |
| 1× | egg-herbie |
| 530× | times-frac_binary64 |
| 343× | fma-def_binary64 |
| 292× | associate-*r*_binary64 |
| 246× | *-commutative_binary64 |
| 235× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 369 | 5400 |
| 1 | 1102 | 4956 |
| 2 | 4018 | 4580 |
| 3 | 4960 | 4580 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 368 | 6 | 374 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 369 | 8 | 377 |
| Status | Error | Program |
| 35.3b | (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4)) (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))))) | |
| 1.0b | (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))) | |
| ▶ | 0.9b | (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 3) |
| 1.3b | (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4)) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) | |
| 35.1b | (*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) | |
| ✓ | 0.1b | (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) |
| 35.3b | (*.f64 (*.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 3)) (sqrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) | |
| 23.5b | (*.f64 (cbrt.f64 (*.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) |
Compiled 17461 to 10464 computations (40.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
| 0.1b | (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) | |
| 0.4b | (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) | |
| ✓ | 0.5b | (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 3) |
1 calls:
| 7.2s | (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 3) |
| 1× | rewrite-expression-head |
| 6× | cube-prod_binary64 |
| 6× | *-un-lft-identity_binary64 |
| 6× | add-sqr-sqrt_binary64 |
| 6× | cbrt-prod_binary64 |
| 6× | unpow-prod-down_binary64 |
1 calls:
| 2.0ms | (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 3) |
| 1× | egg-herbie |
| 847× | fma-def_binary64 |
| 478× | associate-*l*_binary64 |
| 369× | associate-*r*_binary64 |
| 343× | log-prod_binary64 |
| 251× | exp-prod_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 1221 |
| 1 | 206 | 953 |
| 2 | 570 | 922 |
| 3 | 2728 | 744 |
| 4 | 4592 | 744 |
| 5 | 4889 | 744 |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 131 | 1 | 132 |
| Fresh | 2 | 4 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 133 | 7 | 140 |
| Status | Error | Program |
| 3.1b | (fma.f64 (/.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 -1 y)) y) (-.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x)) (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 -1 y))) | |
| 23.5b | (*.f64 (cbrt.f64 (*.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) | |
| 35.3b | (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4)) (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))))) | |
| ▶ | 1.0b | (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))) |
| ✓ | 0.9b | (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 3) |
| 35.1b | (*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) | |
| ✓ | 0.1b | (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) |
Compiled 3728 to 2315 computations (37.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.4b | (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) | |
| ✓ | 0.4b | (*.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))) |
| 0.4b | (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) | |
| ✓ | 0.4b | (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) |
2 calls:
| 115.0ms | (*.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))) |
| 73.0ms | (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) |
| 1× | rewrite-expression-head |
| 9× | pow1_binary64 |
| 8× | add-sqr-sqrt_binary64 |
| 7× | pow1/3_binary64 |
| 6× | *-un-lft-identity_binary64 |
| 6× | add-cube-cbrt_binary64 |
2 calls:
| 6.0ms | (*.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))) |
| 5.0ms | (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) |
| 1× | egg-herbie |
| 530× | times-frac_binary64 |
| 340× | fma-def_binary64 |
| 284× | sub-neg_binary64 |
| 266× | associate-*r*_binary64 |
| 234× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 345 | 4211 |
| 1 | 1059 | 3873 |
| 2 | 3837 | 3600 |
| 3 | 5114 | 3600 |
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 951 | 0 | 951 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 951 | 7 | 958 |
| Status | Error | Program |
| 3.1b | (fma.f64 (/.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 -1 y)) y) (-.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x)) (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 -1 y))) | |
| 23.5b | (*.f64 (cbrt.f64 (*.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) | |
| 35.3b | (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4)) (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))))) | |
| ✓ | 1.0b | (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))) |
| ✓ | 0.9b | (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 3) |
| 35.1b | (*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) | |
| ✓ | 0.1b | (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) |
Compiled 103934 to 61740 computations (40.6% saved)
Total 0.1b remaining (61.6%)
Threshold costs 0.1b (61.6%)
Compiled 7189 to 4536 computations (36.9% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | *-commutative_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 11 | 10 |
| 2 | 15 | 10 |
| 3 | 17 | 10 |
| 4 | 18 | 10 |
| 5 | 17 | 10 |
Compiled 238 to 148 computations (37.8% saved)
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