Time bar (total: 13.5s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.8% | 0.2% | 0 |
| 0% | 99.8% | 0.2% | 1 |
| 0% | 99.8% | 0.2% | 2 |
| 0% | 99.8% | 0.2% | 3 |
| 0% | 99.8% | 0.2% | 4 |
| 0% | 99.8% | 0.2% | 5 |
| 0% | 99.8% | 0.2% | 6 |
| 0% | 99.8% | 0.2% | 7 |
| 0% | 99.8% | 0.2% | 8 |
| 0% | 99.8% | 0.2% | 9 |
| 1.8% | 98% | 0.2% | 10 |
| 7.7% | 92.1% | 0.2% | 11 |
| 10.4% | 89.4% | 0.2% | 12 |
| 12.1% | 87.7% | 0.2% | 13 |
| 21.4% | 78.3% | 0.4% | 14 |
Compiled 19 to 12 computations (36.8% saved)
| 937.0ms | 6909× | body | 128 | valid |
| 183.0ms | 403× | body | 1024 | valid |
| 157.0ms | 1224× | body | 128 | invalid |
| 156.0ms | 477× | body | 512 | valid |
| 94.0ms | 403× | body | 256 | valid |
| 33.0ms | 64× | body | 2048 | valid |
Compiled 56 to 35 computations (37.5% saved)
| 1× | egg-herbie |
| 836× | unsub-neg_binary64 |
| 769× | fma-def_binary64 |
| 696× | div-sub_binary64 |
| 646× | sub-neg_binary64 |
| 478× | neg-mul-1_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 19 |
| 1 | 21 | 19 |
| 2 | 52 | 17 |
| 3 | 144 | 17 |
| 4 | 421 | 17 |
| 5 | 1092 | 17 |
| 6 | 2657 | 17 |
| 7 | 3901 | 17 |
| 8 | 4408 | 17 |
| 9 | 4807 | 17 |
| 10 | 4881 | 17 |
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 |
| ▶ | 14.0b | (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x) |
| 26.7b | (+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))) |
Compiled 100 to 55 computations (45% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (/.f64 (-.f64 t x) (-.f64 a z)) |
| ✓ | 14.0b | (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x) |
2 calls:
| 53.0ms | (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x) |
| 24.0ms | (/.f64 (-.f64 t x) (-.f64 a z)) |
| 1× | rewrite-expression-head |
| 38× | *-un-lft-identity_binary64 |
| 38× | add-sqr-sqrt_binary64 |
| 25× | times-frac_binary64 |
| 14× | add-cube-cbrt_binary64 |
| 12× | distribute-lft-out--_binary64 |
2 calls:
| 6.0ms | (/.f64 (-.f64 t x) (-.f64 a z)) |
| 0.0ms | (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x) |
| 1× | egg-herbie |
| 523× | cancel-sign-sub-inv_binary64 |
| 479× | sub-neg_binary64 |
| 353× | associate-+r+_binary64 |
| 286× | +-commutative_binary64 |
| 272× | associate-+l+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 356 | 6269 |
| 1 | 1045 | 6192 |
| 2 | 3851 | 6156 |
| 3 | 5233 | 6156 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 128 | 8 | 136 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 129 | 9 | 138 |
| Status | Error | Program |
| 26.7b | (+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))) | |
| 34.8b | (*.f64 (-.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) (/.f64 y (-.f64 a z))) x) | |
| 39.6b | (*.f64 (sqrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x)) (sqrt.f64 (fma.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)) x))) | |
| 41.8b | (-.f64 (+.f64 (/.f64 (*.f64 y x) z) (+.f64 t (/.f64 (*.f64 a t) z))) (+.f64 (/.f64 (*.f64 y t) z) (/.f64 (*.f64 a x) z))) | |
| 44.4b | (*.f64 y (/.f64 (-.f64 t x) (-.f64 a z))) | |
| ▶ | 14.1b | (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x) |
| 51.1b | (fma.f64 (-.f64 y z) (*.f64 (/.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 x)) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 (sqrt.f64 t) (sqrt.f64 x)) (cbrt.f64 (-.f64 a z)))) x) | |
| 31.8b | (*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z)))) | |
| 43.8b | (-.f64 (+.f64 t (+.f64 (/.f64 (*.f64 (pow.f64 a 2) t) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 y (*.f64 a x)) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 y x) z) (/.f64 (*.f64 a t) z))))) (+.f64 (/.f64 (*.f64 (pow.f64 a 2) x) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 a x) z) (+.f64 (/.f64 (*.f64 y t) z) (/.f64 (*.f64 y (*.f64 a t)) (pow.f64 z 2)))))) |
Compiled 4922 to 1566 computations (68.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (/.f64 1 (-.f64 a z)) |
| ✓ | 0.3b | (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) |
| ✓ | 13.9b | (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x) |
3 calls:
| 54.0ms | (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x) |
| 23.0ms | (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) |
| 6.0ms | (/.f64 1 (-.f64 a z)) |
| 1× | rewrite-expression-head |
| 46× | add-sqr-sqrt_binary64 |
| 40× | *-un-lft-identity_binary64 |
| 32× | times-frac_binary64 |
| 23× | add-cube-cbrt_binary64 |
| 21× | associate-*r*_binary64 |
3 calls:
| 13.0ms | (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) |
| 4.0ms | (/.f64 1 (-.f64 a z)) |
| 0.0ms | (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x) |
| 1× | egg-herbie |
| 485× | sub-neg_binary64 |
| 371× | associate-+r+_binary64 |
| 307× | +-commutative_binary64 |
| 285× | associate-+l+_binary64 |
| 246× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 385 | 7102 |
| 1 | 1097 | 6803 |
| 2 | 4197 | 6767 |
| 3 | 5010 | 6767 |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 219 | 1 | 220 |
| Fresh | 1 | 7 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 221 | 8 | 229 |
| Status | Error | Program |
| 26.7b | (+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))) | |
| 34.8b | (*.f64 (-.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) (/.f64 y (-.f64 a z))) x) | |
| 44.4b | (*.f64 y (/.f64 (-.f64 t x) (-.f64 a z))) | |
| 51.1b | (fma.f64 (-.f64 y z) (*.f64 (/.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 x)) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 (sqrt.f64 t) (sqrt.f64 x)) (cbrt.f64 (-.f64 a z)))) x) | |
| 31.8b | (*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z)))) | |
| ▶ | 15.0b | (*.f64 (*.f64 (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x)) (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x))) (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x))) |
| 43.8b | (-.f64 (+.f64 t (+.f64 (/.f64 (*.f64 (pow.f64 a 2) t) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 y (*.f64 a x)) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 y x) z) (/.f64 (*.f64 a t) z))))) (+.f64 (/.f64 (*.f64 (pow.f64 a 2) x) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 a x) z) (+.f64 (/.f64 (*.f64 y t) z) (/.f64 (*.f64 y (*.f64 a t)) (pow.f64 z 2)))))) | |
| 41.8b | (-.f64 (+.f64 (/.f64 (*.f64 y x) z) (+.f64 t (/.f64 (*.f64 a t) z))) (+.f64 (/.f64 (*.f64 y t) z) (/.f64 (*.f64 a x) z))) |
Compiled 6810 to 2402 computations (64.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.3b | (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) | |
| ✓ | 0.5b | (*.f64 (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x)) (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x))) |
| ✓ | 0.5b | (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x)) |
| 13.9b | (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x) |
2 calls:
| 3.2s | (*.f64 (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x)) (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x))) |
| 682.0ms | (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x)) |
| 1× | rewrite-expression-head |
| 19× | add-sqr-sqrt_binary64 |
| 19× | cbrt-prod_binary64 |
| 11× | *-un-lft-identity_binary64 |
| 11× | add-cube-cbrt_binary64 |
| 9× | pow1_binary64 |
2 calls:
| 4.0ms | (*.f64 (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x)) (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x))) |
| 1.0ms | (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5883 | 309237707372 |
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 786 | 3 | 789 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 786 | 11 | 797 |
| Status | Error | Program |
| 53.5b | (*.f64 (exp.f64 (*.f64 1/3 (-.f64 (log.f64 (pow.f64 (-.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) (/.f64 y (-.f64 a z))) 2)) (*.f64 2 (log.f64 (/.f64 1 x)))))) (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x))) | |
| ▶ | 26.7b | (+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))) |
| 34.8b | (*.f64 (-.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) (/.f64 y (-.f64 a z))) x) | |
| 44.4b | (*.f64 y (/.f64 (-.f64 t x) (-.f64 a z))) | |
| 41.9b | (*.f64 (*.f64 (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x)) (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x))) (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (*.f64 (-.f64 t x) (sqrt.f64 (/.f64 1 (-.f64 a z)))) (sqrt.f64 (/.f64 1 (-.f64 a z)))) x))) | |
| 51.1b | (fma.f64 (-.f64 y z) (*.f64 (/.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 x)) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 (sqrt.f64 t) (sqrt.f64 x)) (cbrt.f64 (-.f64 a z)))) x) | |
| 58.1b | (*.f64 (pow.f64 (pow.f64 t 2) 1/3) (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x))) | |
| 31.8b | (*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z)))) | |
| ✓ | 15.0b | (*.f64 (*.f64 (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x)) (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x))) (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x))) |
| 43.8b | (-.f64 (+.f64 t (+.f64 (/.f64 (*.f64 (pow.f64 a 2) t) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 y (*.f64 a x)) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 y x) z) (/.f64 (*.f64 a t) z))))) (+.f64 (/.f64 (*.f64 (pow.f64 a 2) x) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 a x) z) (+.f64 (/.f64 (*.f64 y t) z) (/.f64 (*.f64 y (*.f64 a t)) (pow.f64 z 2)))))) | |
| 41.8b | (-.f64 (+.f64 (/.f64 (*.f64 y x) z) (+.f64 t (/.f64 (*.f64 a t) z))) (+.f64 (/.f64 (*.f64 y t) z) (/.f64 (*.f64 a x) z))) |
Compiled 156399 to 72358 computations (53.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (*.f64 (-.f64 y z) (-.f64 t x)) |
| ✓ | 2.6b | (+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))) |
| ✓ | 19.9b | (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)) |
3 calls:
| 101.0ms | (+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))) |
| 61.0ms | (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)) |
| 14.0ms | (*.f64 (-.f64 y z) (-.f64 t x)) |
| 1× | rewrite-expression-head |
| 32× | *-un-lft-identity_binary64 |
| 32× | add-sqr-sqrt_binary64 |
| 22× | add-cube-cbrt_binary64 |
| 18× | prod-diff_binary64 |
| 13× | distribute-lft-in_binary64 |
3 calls:
| 10.0ms | (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)) |
| 8.0ms | (*.f64 (-.f64 y z) (-.f64 t x)) |
| 8.0ms | (+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))) |
| 1× | egg-herbie |
| 306× | associate-*r*_binary64 |
| 290× | associate-*l*_binary64 |
| 285× | associate-/l*_binary64 |
| 273× | times-frac_binary64 |
| 177× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 527 | 10278 |
| 1 | 1522 | 10161 |
| 2 | 4811 | 10077 |
| 3 | 4995 | 10077 |
| 4 | 4976 | 10077 |
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 259 | 1 | 260 |
| Fresh | 1 | 8 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 260 | 11 | 271 |
| Status | Error | Program |
| 53.5b | (*.f64 (exp.f64 (*.f64 1/3 (-.f64 (log.f64 (pow.f64 (-.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) (/.f64 y (-.f64 a z))) 2)) (*.f64 2 (log.f64 (/.f64 1 x)))))) (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x))) | |
| ✓ | 26.7b | (+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))) |
| 34.8b | (*.f64 (-.f64 (+.f64 (/.f64 z (-.f64 a z)) 1) (/.f64 y (-.f64 a z))) x) | |
| 14.1b | (+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))) | |
| 44.4b | (*.f64 y (/.f64 (-.f64 t x) (-.f64 a z))) | |
| 41.9b | (*.f64 (*.f64 (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x)) (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x))) (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (*.f64 (-.f64 t x) (sqrt.f64 (/.f64 1 (-.f64 a z)))) (sqrt.f64 (/.f64 1 (-.f64 a z)))) x))) | |
| 58.1b | (*.f64 (pow.f64 (pow.f64 t 2) 1/3) (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x))) | |
| 31.8b | (*.f64 t (-.f64 (/.f64 y (-.f64 a z)) (/.f64 z (-.f64 a z)))) | |
| ✓ | 15.0b | (*.f64 (*.f64 (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x)) (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x))) (cbrt.f64 (fma.f64 (-.f64 y z) (*.f64 (-.f64 t x) (/.f64 1 (-.f64 a z))) x))) |
| 43.8b | (-.f64 (+.f64 t (+.f64 (/.f64 (*.f64 (pow.f64 a 2) t) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 y (*.f64 a x)) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 y x) z) (/.f64 (*.f64 a t) z))))) (+.f64 (/.f64 (*.f64 (pow.f64 a 2) x) (pow.f64 z 2)) (+.f64 (/.f64 (*.f64 a x) z) (+.f64 (/.f64 (*.f64 y t) z) (/.f64 (*.f64 y (*.f64 a t)) (pow.f64 z 2)))))) | |
| 41.8b | (-.f64 (+.f64 (/.f64 (*.f64 y x) z) (+.f64 t (/.f64 (*.f64 a t) z))) (+.f64 (/.f64 (*.f64 y t) z) (/.f64 (*.f64 a x) z))) |
Compiled 9266 to 2690 computations (71% saved)
Total 6.5b remaining (87.7%)
Threshold costs 0b (0%)
Compiled 27474 to 15414 computations (43.9% saved)
Compiled 18 to 11 computations (38.9% saved)
| 1× | egg-herbie |
| 17× | +-commutative_binary64 |
| 16× | *-commutative_binary64 |
| 13× | sub-neg_binary64 |
| 9× | neg-sub0_binary64 |
| 9× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 134 |
| 1 | 59 | 134 |
| 2 | 74 | 134 |
| 3 | 90 | 134 |
| 4 | 111 | 134 |
| 5 | 121 | 134 |
| 6 | 127 | 134 |
| 7 | 129 | 134 |
| 8 | 127 | 134 |
Compiled 565 to 285 computations (49.6% saved)
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