Time bar (total: 5.6s)
| 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 |
| 25% | 74.9% | 0.1% | 6 |
| 37.4% | 62.4% | 0.1% | 7 |
| 56.2% | 43.7% | 0.1% | 8 |
| 56.2% | 43.7% | 0.1% | 9 |
| 65.5% | 34.3% | 0.1% | 10 |
| 76.5% | 23.4% | 0.1% | 11 |
| 76.5% | 23.4% | 0.1% | 12 |
| 81.9% | 17.9% | 0.1% | 13 |
| 87.8% | 12.1% | 0.1% | 14 |
Compiled 13 to 9 computations (30.8% saved)
| 1.5s | 2094× | body | 1024 | valid |
| 805.0ms | 4578× | body | 128 | valid |
| 561.0ms | 1082× | body | 512 | valid |
| 192.0ms | 497× | body | 256 | valid |
| 7.0ms | 5× | body | 2048 | valid |
Compiled 38 to 26 computations (31.6% saved)
| 1× | egg-herbie |
| 171× | fma-def_binary64 |
| 87× | fma-neg_binary64 |
| 36× | cancel-sign-sub-inv_binary64 |
| 23× | distribute-rgt-neg-in_binary64 |
| 20× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 14 |
| 1 | 17 | 14 |
| 2 | 28 | 14 |
| 3 | 45 | 14 |
| 4 | 67 | 14 |
| 5 | 101 | 14 |
| 6 | 153 | 14 |
| 7 | 214 | 14 |
| 8 | 258 | 14 |
| 9 | 280 | 14 |
| 10 | 300 | 14 |
| 11 | 306 | 14 |
| 12 | 275 | 14 |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
| ▶ | 0.2b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 36 to 24 computations (33.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ✓ | 0.1b | (*.f64 x (cos.f64 y)) |
| ✓ | 0.1b | (*.f64 z (sin.f64 y)) |
3 calls:
| 20.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 7.0ms | (*.f64 x (cos.f64 y)) |
| 7.0ms | (*.f64 z (sin.f64 y)) |
| 1× | rewrite-expression-head |
| 11× | add-sqr-sqrt_binary64 |
| 7× | *-un-lft-identity_binary64 |
| 7× | add-cube-cbrt_binary64 |
| 7× | add-cbrt-cube_binary64 |
| 7× | add-exp-log_binary64 |
3 calls:
| 3.0ms | (*.f64 z (sin.f64 y)) |
| 3.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 3.0ms | (*.f64 x (cos.f64 y)) |
| 1× | egg-herbie |
| 565× | fma-neg_binary64 |
| 513× | fma-def_binary64 |
| 401× | sub-neg_binary64 |
| 272× | distribute-rgt-neg-in_binary64 |
| 257× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 1548 |
| 1 | 342 | 1505 |
| 2 | 1070 | 1476 |
| 3 | 2342 | 1476 |
| 4 | 4338 | 1476 |
| 5 | 4932 | 1476 |
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 98 | 12 | 110 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 99 | 12 | 111 |
| Status | Error | Program |
| 18.0b | (-.f64 (*.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))) | |
| 0.5b | (-.f64 (*.f64 (*.f64 x (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) (cbrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y))) | |
| 41.7b | (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 x (cos.f64 y))) (+.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) | |
| 0.9b | (-.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (cos.f64 y))) (*.f64 z (sin.f64 y))) | |
| 16.9b | (-.f64 (*.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y))) | |
| 34.9b | (-.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 z (sin.f64 y))) | |
| 35.2b | (*.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) | |
| ▶ | 0.2b | (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 z (sin.f64 y)))) |
| 29.9b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))) | |
| 0.6b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (sin.f64 y)))) | |
| 32.9b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))) | |
| 0.6b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 z) (sin.f64 y)))) |
Compiled 2144 to 732 computations (65.9% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 z (sin.f64 y)))) |
| 0.1b | (*.f64 z (sin.f64 y)) |
1 calls:
| 16.0ms | (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 z (sin.f64 y)))) |
| 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 x (cos.f64 y) (neg.f64 (*.f64 z (sin.f64 y)))) |
| 1× | egg-herbie |
| 867× | fma-neg_binary64 |
| 806× | cancel-sign-sub-inv_binary64 |
| 392× | associate-*l*_binary64 |
| 384× | fma-def_binary64 |
| 326× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 656 |
| 1 | 90 | 627 |
| 2 | 214 | 627 |
| 3 | 626 | 623 |
| 4 | 2397 | 623 |
| 5 | 4589 | 623 |
| 6 | 5113 | 623 |
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 65 | 0 | 65 |
| Fresh | 0 | 11 | 11 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 65 | 12 | 77 |
| Status | Error | Program |
| 18.0b | (-.f64 (*.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))) | |
| ▶ | 0.5b | (-.f64 (*.f64 (*.f64 x (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) (cbrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y))) |
| 41.7b | (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 x (cos.f64 y))) (+.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) | |
| 0.9b | (-.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (cos.f64 y))) (*.f64 z (sin.f64 y))) | |
| 16.9b | (-.f64 (*.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y))) | |
| 34.9b | (-.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 z (sin.f64 y))) | |
| 35.2b | (*.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) | |
| ✓ | 0.2b | (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 z (sin.f64 y)))) |
| 29.9b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))) | |
| 0.6b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (sin.f64 y)))) | |
| 32.9b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))) | |
| 0.6b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 z) (sin.f64 y)))) |
Compiled 1393 to 555 computations (60.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.1b | (*.f64 z (sin.f64 y)) | |
| ✓ | 0.2b | (*.f64 (*.f64 x (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) (cbrt.f64 (cos.f64 y))) |
| ✓ | 0.3b | (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y))) |
| ✓ | 0.4b | (cbrt.f64 (cos.f64 y)) |
3 calls:
| 245.0ms | (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y))) |
| 175.0ms | (cbrt.f64 (cos.f64 y)) |
| 7.0ms | (*.f64 (*.f64 x (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) (cbrt.f64 (cos.f64 y))) |
| 1× | rewrite-expression-head |
| 22× | add-sqr-sqrt_binary64 |
| 22× | cbrt-prod_binary64 |
| 19× | pow1_binary64 |
| 14× | *-un-lft-identity_binary64 |
| 14× | add-cube-cbrt_binary64 |
3 calls:
| 7.0ms | (*.f64 (*.f64 x (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) (cbrt.f64 (cos.f64 y))) |
| 5.0ms | (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y))) |
| 1.0ms | (cbrt.f64 (cos.f64 y)) |
| 1× | egg-herbie |
| 780× | fma-def_binary64 |
| 610× | unswap-sqr_binary64 |
| 426× | fma-neg_binary64 |
| 366× | *-commutative_binary64 |
| 361× | log-prod_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 129 | 1459 |
| 1 | 299 | 1232 |
| 2 | 1037 | 1167 |
| 3 | 1977 | 1123 |
| 4 | 4368 | 1105 |
| 5 | 4887 | 1105 |
| 6 | 4986 | 1105 |
13 alts after pruning (11 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 215 | 3 | 218 |
| Fresh | 2 | 8 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 217 | 13 | 230 |
| Status | Error | Program |
| 18.0b | (-.f64 (*.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))) | |
| ✓ | 0.5b | (-.f64 (*.f64 (*.f64 x (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) (cbrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y))) |
| ▶ | 0.3b | (-.f64 (*.f64 (*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y))) |
| ✓ | 0.2b | (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 z (sin.f64 y)))) |
| 17.0b | (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) 2/3) (*.f64 x (cbrt.f64 (sqrt.f64 (cos.f64 y))))) (cbrt.f64 (sqrt.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y))) | |
| 34.9b | (-.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 z (sin.f64 y))) | |
| 41.7b | (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 x (cos.f64 y))) (+.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) | |
| 35.2b | (*.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) | |
| 0.5b | (-.f64 (*.f64 (*.f64 x (*.f64 (cbrt.f64 (cos.f64 y)) (log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y)))))) (cbrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y))) | |
| 29.9b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))) | |
| 0.6b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (sin.f64 y)))) | |
| 32.9b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))) | |
| 0.6b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 z) (sin.f64 y)))) |
Compiled 5502 to 1592 computations (71.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.1b | (*.f64 z (sin.f64 y)) | |
| ✓ | 0.2b | (*.f64 (*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y))) |
| ✓ | 0.3b | (pow.f64 (cos.f64 y) 2) |
| 0.4b | (cbrt.f64 (cos.f64 y)) |
2 calls:
| 14.0ms | (*.f64 (*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y))) |
| 6.0ms | (pow.f64 (cos.f64 y) 2) |
| 1× | rewrite-expression-head |
| 18× | add-exp-log_binary64 |
| 11× | prod-exp_binary64 |
| 6× | associate-*r*_binary64 |
| 6× | add-cbrt-cube_binary64 |
| 6× | *-un-lft-identity_binary64 |
2 calls:
| 12.0ms | (*.f64 (*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y))) |
| 3.0ms | (pow.f64 (cos.f64 y) 2) |
| 1× | egg-herbie |
| 639× | fma-neg_binary64 |
| 576× | unswap-sqr_binary64 |
| 435× | sqr-pow_binary64 |
| 433× | fma-def_binary64 |
| 336× | *-commutative_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 1034 |
| 1 | 253 | 880 |
| 2 | 787 | 833 |
| 3 | 1566 | 815 |
| 4 | 3415 | 635 |
| 5 | 3980 | 617 |
| 6 | 4678 | 617 |
| 7 | 4942 | 617 |
| 8 | 4901 | 617 |
13 alts after pruning (10 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 136 | 1 | 137 |
| Fresh | 1 | 9 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 137 | 13 | 150 |
| Status | Error | Program |
| 18.0b | (-.f64 (*.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))) | |
| ✓ | 0.5b | (-.f64 (*.f64 (*.f64 x (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) (cbrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y))) |
| ✓ | 0.3b | (-.f64 (*.f64 (*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y))) |
| ✓ | 0.2b | (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 z (sin.f64 y)))) |
| 17.0b | (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) 2/3) (*.f64 x (cbrt.f64 (sqrt.f64 (cos.f64 y))))) (cbrt.f64 (sqrt.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y))) | |
| 34.9b | (-.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y))) (*.f64 z (sin.f64 y))) | |
| 41.7b | (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (*.f64 (*.f64 x (cos.f64 y)) (*.f64 x (cos.f64 y))) (+.f64 (*.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) | |
| 35.2b | (*.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) | |
| 0.5b | (-.f64 (*.f64 (*.f64 x (pow.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2))) 1/3)) (cbrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y))) | |
| 29.9b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))) | |
| 0.6b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (sin.f64 y)))) | |
| 32.9b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y)))) | |
| 0.6b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 z) (sin.f64 y)))) |
Compiled 3238 to 1534 computations (52.6% saved)
Total 0.1b remaining (65.2%)
Threshold costs 0.1b (65.2%)
Compiled 4030 to 2466 computations (38.8% saved)
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 3× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 14 |
| 1 | 18 | 14 |
| 2 | 26 | 14 |
| 3 | 31 | 14 |
| 4 | 33 | 14 |
| 5 | 33 | 14 |
Compiled 297 to 170 computations (42.8% saved)
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