Time bar (total: 7.6s)
| 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 |
| 6.2% | 93.6% | 0.1% | 6 |
| 12.5% | 87.4% | 0.1% | 7 |
| 15.6% | 84.3% | 0.1% | 8 |
| 18.7% | 71.8% | 9.5% | 9 |
| 23.4% | 56% | 20.6% | 10 |
| 26.3% | 52.2% | 21.5% | 11 |
| 31% | 40.1% | 28.9% | 12 |
| 35.6% | 28.9% | 35.5% | 13 |
| 36.8% | 27.5% | 35.7% | 14 |
Compiled 18 to 12 computations (33.3% saved)
(sort x y z)
| 989.0ms | 8256× | body | 128 | valid |
| 274.0ms | 2355× | body | 128 | invalid |
Compiled 53 to 35 computations (34% saved)
| 1× | egg-herbie |
| 25× | fma-def_binary64 |
| 8× | +-commutative_binary64 |
| 8× | *-commutative_binary64 |
| 5× | distribute-rgt-out_binary64 |
| 3× | associate-+r+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 18 |
| 1 | 23 | 16 |
| 2 | 43 | 16 |
| 3 | 59 | 16 |
| 4 | 61 | 16 |
| 5 | 62 | 16 |
| 6 | 62 | 16 |
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 |
| ▶ | 21.7b | (*.f64 2 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) |
Compiled 56 to 34 computations (39.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.8b | (fma.f64 x (+.f64 y z) (*.f64 y z)) |
| ✓ | 20.6b | (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))) |
2 calls:
| 200.0ms | (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))) |
| 9.0ms | (fma.f64 x (+.f64 y z) (*.f64 y z)) |
| 1× | rewrite-expression-head |
| 4× | add-sqr-sqrt_binary64 |
| 3× | *-un-lft-identity_binary64 |
| 3× | sqrt-prod_binary64 |
| 3× | add-cube-cbrt_binary64 |
| 3× | pow1_binary64 |
2 calls:
| 1.0ms | (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))) |
| 0.0ms | (fma.f64 x (+.f64 y z) (*.f64 y z)) |
| 1× | egg-herbie |
| 631× | associate-*l*_binary64 |
| 605× | cancel-sign-sub-inv_binary64 |
| 565× | associate-*r*_binary64 |
| 297× | fma-neg_binary64 |
| 197× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 214 | 1615 |
| 1 | 531 | 1523 |
| 2 | 1873 | 1478 |
| 3 | 4933 | 1478 |
| 4 | 5115 | 1478 |
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 60 | 10 | 70 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 60 | 11 | 71 |
| Status | Error | Program |
| 24.0b | (*.f64 2 (sqrt.f64 (expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))))) | |
| 43.7b | (*.f64 2 (sqrt.f64 (*.f64 y z))) | |
| 22.2b | (*.f64 2 (*.f64 (fabs.f64 (cbrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))) (sqrt.f64 (cbrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))))) | |
| ▶ | 22.0b | (*.f64 2 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))))) |
| 22.5b | (*.f64 2 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))))) | |
| 42.9b | (*.f64 2 (sqrt.f64 (*.f64 z (+.f64 y x)))) | |
| 45.4b | (*.f64 2 (fma.f64 1/2 (*.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x)))) | |
| 41.3b | (*.f64 2 (sqrt.f64 (*.f64 y x))) | |
| 63.4b | (*.f64 2 (+.f64 (sqrt.f64 (*.f64 z x)) (*.f64 y (*.f64 1/2 (+.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 x z))))))) | |
| 61.8b | (*.f64 2 (sqrt.f64 (*.f64 z x))) | |
| ✓ | 21.7b | (*.f64 2 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) |
Compiled 2308 to 1134 computations (50.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) |
| ✓ | 0.5b | (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) |
| 0.8b | (fma.f64 x (+.f64 y z) (*.f64 y z)) | |
| 20.6b | (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))) |
2 calls:
| 191.0ms | (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) |
| 68.0ms | (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) |
| 1× | rewrite-expression-head |
| 84× | sqrt-prod_binary64 |
| 64× | add-sqr-sqrt_binary64 |
| 36× | sqrt-pow1_binary64 |
| 27× | pow1_binary64 |
| 18× | rem-sqrt-square_binary64 |
2 calls:
| 7.0ms | (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) |
| 1.0ms | (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) |
| 1× | egg-herbie |
| 472× | associate-*l*_binary64 |
| 445× | fma-def_binary64 |
| 385× | times-frac_binary64 |
| 317× | associate-/r*_binary64 |
| 244× | associate-/l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 573 | 6013 |
| 1 | 1686 | 5614 |
| 2 | 5360 | 5614 |
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 410 | 3 | 413 |
| Fresh | 1 | 8 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 412 | 12 | 424 |
| Status | Error | Program |
| 63.4b | (*.f64 2 (+.f64 (sqrt.f64 (*.f64 z x)) (*.f64 y (*.f64 1/2 (+.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 x z))))))) | |
| 22.3b | (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))))))) | |
| 43.7b | (*.f64 2 (sqrt.f64 (*.f64 y z))) | |
| 22.2b | (*.f64 2 (*.f64 (fabs.f64 (cbrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))) (sqrt.f64 (cbrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))))) | |
| ✓ | 22.0b | (*.f64 2 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))))) |
| 22.5b | (*.f64 2 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))))) | |
| 42.9b | (*.f64 2 (sqrt.f64 (*.f64 z (+.f64 y x)))) | |
| 22.2b | (*.f64 2 (*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))))) | |
| 45.4b | (*.f64 2 (fma.f64 1/2 (*.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x)))) | |
| ▶ | 22.0b | (*.f64 2 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))))) |
| 41.3b | (*.f64 2 (sqrt.f64 (*.f64 y x))) | |
| 61.8b | (*.f64 2 (sqrt.f64 (*.f64 z x))) |
Compiled 20547 to 8623 computations (58% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))))) |
| ✓ | 0.4b | (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) |
| 0.8b | (fma.f64 x (+.f64 y z) (*.f64 y z)) | |
| 20.6b | (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))) |
2 calls:
| 516.0ms | (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) |
| 186.0ms | (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))))) |
| 1× | rewrite-expression-head |
| 135× | sqrt-prod_binary64 |
| 134× | sqrt-pow1_binary64 |
| 109× | add-sqr-sqrt_binary64 |
| 70× | pow1_binary64 |
| 66× | rem-sqrt-square_binary64 |
2 calls:
| 18.0ms | (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))))) |
| 15.0ms | (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) |
| 1× | egg-herbie |
| 515× | *-commutative_binary64 |
| 266× | +-commutative_binary64 |
| 239× | fma-def_binary64 |
| 215× | associate-+r+_binary64 |
| 202× | associate-*r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1218 | 17768 |
| 1 | 4382 | 17105 |
| 2 | 5019 | 17105 |
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 448 | 2 | 450 |
| Fresh | 1 | 9 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 451 | 11 | 462 |
| Status | Error | Program |
| 22.2b | (*.f64 2 (*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))))) | |
| 22.2b | (*.f64 2 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) 4)) | |
| 43.7b | (*.f64 2 (sqrt.f64 (*.f64 y z))) | |
| 22.2b | (*.f64 2 (*.f64 (fabs.f64 (cbrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))) (sqrt.f64 (cbrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))))) | |
| ▶ | 22.0b | (*.f64 2 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) 3/2))) |
| 22.5b | (*.f64 2 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))))) | |
| 42.9b | (*.f64 2 (sqrt.f64 (*.f64 z (+.f64 y x)))) | |
| 45.4b | (*.f64 2 (fma.f64 1/2 (*.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x)))) | |
| 41.3b | (*.f64 2 (sqrt.f64 (*.f64 y x))) | |
| 63.4b | (*.f64 2 (+.f64 (sqrt.f64 (*.f64 z x)) (*.f64 y (*.f64 1/2 (+.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 x z))))))) | |
| 61.8b | (*.f64 2 (sqrt.f64 (*.f64 z x))) |
Compiled 37058 to 17611 computations (52.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) 3/2)) |
| ✓ | 0.4b | (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) 3/2) |
| 0.8b | (fma.f64 x (+.f64 y z) (*.f64 y z)) | |
| 20.6b | (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))) |
2 calls:
| 174.0ms | (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) 3/2)) |
| 110.0ms | (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) 3/2) |
| 1× | rewrite-expression-head |
| 78× | sqrt-prod_binary64 |
| 50× | add-sqr-sqrt_binary64 |
| 30× | unpow-prod-down_binary64 |
| 20× | unswap-sqr_binary64 |
| 14× | *-un-lft-identity_binary64 |
2 calls:
| 9.0ms | (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) 3/2)) |
| 3.0ms | (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) 3/2) |
| 1× | egg-herbie |
| 468× | associate-*l*_binary64 |
| 433× | fma-def_binary64 |
| 419× | times-frac_binary64 |
| 312× | associate-/r*_binary64 |
| 283× | associate-/l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 608 | 7990 |
| 1 | 1768 | 7661 |
| 2 | 5629 | 7661 |
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 325 | 1 | 326 |
| Fresh | 2 | 8 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 327 | 10 | 337 |
| Status | Error | Program |
| 63.4b | (*.f64 2 (+.f64 (sqrt.f64 (*.f64 z x)) (*.f64 y (*.f64 1/2 (+.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 x z))))))) | |
| 22.2b | (*.f64 2 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) 5/2) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) 3/2))) | |
| 43.7b | (*.f64 2 (sqrt.f64 (*.f64 y z))) | |
| 22.2b | (*.f64 2 (*.f64 (fabs.f64 (cbrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))) (sqrt.f64 (cbrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))))) | |
| ✓ | 22.0b | (*.f64 2 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) 3/2))) |
| 42.9b | (*.f64 2 (sqrt.f64 (*.f64 z (+.f64 y x)))) | |
| 22.2b | (*.f64 2 (*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) (sqrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))))) | |
| 45.4b | (*.f64 2 (fma.f64 1/2 (*.f64 z (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (*.f64 y x)))) | |
| 41.3b | (*.f64 2 (sqrt.f64 (*.f64 y x))) | |
| 61.8b | (*.f64 2 (sqrt.f64 (*.f64 z x))) |
Compiled 16266 to 6738 computations (58.6% saved)
Total 0.5b remaining (2.5%)
Threshold costs 0.5b (2.5%)
Compiled 30692 to 16856 computations (45.1% saved)
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-lft-identity_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 16 |
| 1 | 18 | 16 |
| 2 | 17 | 16 |
(sort x y z)
Compiled 276 to 154 computations (44.2% saved)
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