Time bar (total: 2.9s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 0% | 100% | 0 |
| 0% | 0% | 100% | 1 |
Compiled 17 to 11 computations (35.3% saved)
| 816.0ms | 8256× | body | 128 | valid |
Compiled 44 to 28 computations (36.4% saved)
| 1× | egg-herbie |
| 649× | fma-neg_binary64 |
| 504× | div-sub_binary64 |
| 481× | fma-def_binary64 |
| 326× | times-frac_binary64 |
| 174× | associate-/l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 13 | 10 |
| 2 | 21 | 10 |
| 3 | 37 | 10 |
| 4 | 64 | 10 |
| 5 | 113 | 10 |
| 6 | 216 | 10 |
| 7 | 415 | 10 |
| 8 | 754 | 10 |
| 9 | 1183 | 10 |
| 10 | 1537 | 10 |
| 11 | 1612 | 10 |
| 12 | 1657 | 10 |
| 13 | 1684 | 10 |
| 14 | 1694 | 10 |
| 15 | 1702 | 10 |
| 16 | 1702 | 10 |
| 17 | 1600 | 10 |
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 |
| ▶ | 62.0b | (/.f64 (-.f64 x lo) (-.f64 hi lo)) |
Compiled 30 to 18 computations (40% saved)
Found 1 expressions with local error:
| New | Error | Program |
| ✓ | 62.0b | (/.f64 (-.f64 x lo) (-.f64 hi lo)) |
1 calls:
| 17.0ms | (/.f64 (-.f64 x lo) (-.f64 hi lo)) |
| 1× | rewrite-expression-head |
| 37× | *-un-lft-identity_binary64 |
| 37× | add-sqr-sqrt_binary64 |
| 25× | times-frac_binary64 |
| 13× | add-cube-cbrt_binary64 |
| 12× | distribute-lft-out--_binary64 |
1 calls:
| 7.0ms | (/.f64 (-.f64 x lo) (-.f64 hi lo)) |
| 1× | egg-herbie |
| 810× | fma-neg_binary64 |
| 418× | fma-def_binary64 |
| 402× | associate--l+_binary64 |
| 279× | cancel-sign-sub-inv_binary64 |
| 264× | times-frac_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 162 | 2093 |
| 1 | 436 | 2033 |
| 2 | 1358 | 1879 |
| 3 | 4643 | 1879 |
| 4 | 5346 | 1879 |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 81 | 3 | 84 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 82 | 3 | 85 |
| Status | Error | Program |
| ▶ | 51.9b | (+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (*.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (pow.f64 (/.f64 lo hi) 3))) |
| 51.9b | (-.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) | |
| 57.6b | (-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)) (pow.f64 (/.f64 hi lo) 3))) (+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) |
Compiled 1853 to 655 computations (64.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (*.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi))) |
| ✓ | 0.7b | (pow.f64 (/.f64 lo hi) 3) |
| ✓ | 1.4b | (+.f64 (/.f64 lo hi) 1) |
| ✓ | 1.4b | (-.f64 -1 (/.f64 lo hi)) |
4 calls:
| 15.0ms | (*.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi))) |
| 14.0ms | (pow.f64 (/.f64 lo hi) 3) |
| 5.0ms | (+.f64 (/.f64 lo hi) 1) |
| 5.0ms | (-.f64 -1 (/.f64 lo hi)) |
| 1× | rewrite-expression-head |
| 173× | add-sqr-sqrt_binary64 |
| 164× | *-un-lft-identity_binary64 |
| 158× | add-cube-cbrt_binary64 |
| 147× | times-frac_binary64 |
| 117× | prod-diff_binary64 |
4 calls:
| 15.0ms | (*.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi))) |
| 6.0ms | (-.f64 -1 (/.f64 lo hi)) |
| 5.0ms | (+.f64 (/.f64 lo hi) 1) |
| 3.0ms | (pow.f64 (/.f64 lo hi) 3) |
| 1× | egg-herbie |
| 621× | fma-neg_binary64 |
| 480× | associate-*l*_binary64 |
| 444× | associate-*r*_binary64 |
| 380× | log-prod_binary64 |
| 293× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 410 | 7239 |
| 1 | 1125 | 5197 |
| 2 | 3283 | 4476 |
| 3 | 4278 | 4476 |
| 4 | 4846 | 4476 |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 332 | 8 | 340 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 333 | 10 | 343 |
| Status | Error | Program |
| 52.4b | (+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (/.f64 (*.f64 lo (-.f64 1 (pow.f64 (/.f64 lo hi) 2))) (*.f64 hi (+.f64 -1 (/.f64 lo hi))))) (pow.f64 (/.f64 lo hi) 3))) | |
| 57.6b | (+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (neg.f64 (pow.f64 (/.f64 lo hi) 2))) (pow.f64 (/.f64 lo hi) 3))) | |
| 51.9b | (+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (*.f64 lo (/.f64 (-.f64 -1 (/.f64 lo hi)) hi))) (pow.f64 (/.f64 lo hi) 3))) | |
| 51.9b | (+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (*.f64 (/.f64 lo hi) (+.f64 -1 (*.f64 (neg.f64 (/.f64 (*.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (*.f64 (cbrt.f64 hi) (cbrt.f64 hi)))) (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)))))) (pow.f64 (/.f64 lo hi) 3))) | |
| 51.9b | (+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (*.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (*.f64 (pow.f64 (/.f64 (*.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (sqrt.f64 hi)) 3) (pow.f64 (/.f64 (cbrt.f64 lo) (sqrt.f64 hi)) 3)))) | |
| 51.9b | (+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (*.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (*.f64 (pow.f64 (/.f64 (*.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (*.f64 (cbrt.f64 hi) (cbrt.f64 hi))) 3) (pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3)))) | |
| 51.9b | (+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (+.f64 (*.f64 -1 (/.f64 lo hi)) (*.f64 (*.f64 (neg.f64 (/.f64 (*.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (*.f64 (cbrt.f64 hi) (cbrt.f64 hi)))) (/.f64 (cbrt.f64 lo) (cbrt.f64 hi))) (/.f64 lo hi)))) (pow.f64 (/.f64 lo hi) 3))) | |
| ▶ | 51.9b | (+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (*.f64 (/.f64 lo hi) (+.f64 -1 (*.f64 (neg.f64 (/.f64 (*.f64 (cbrt.f64 lo) (cbrt.f64 lo)) 1)) (/.f64 (cbrt.f64 lo) hi))))) (pow.f64 (/.f64 lo hi) 3))) |
| 51.9b | (-.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) | |
| 57.6b | (-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)) (pow.f64 (/.f64 hi lo) 3))) (+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) |
Compiled 17853 to 6114 computations (65.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.6b | (*.f64 (cbrt.f64 lo) (cbrt.f64 lo)) |
| 0.7b | (pow.f64 (/.f64 lo hi) 3) | |
| ✓ | 1.4b | (+.f64 -1 (*.f64 (neg.f64 (/.f64 (*.f64 (cbrt.f64 lo) (cbrt.f64 lo)) 1)) (/.f64 (cbrt.f64 lo) hi))) |
| 1.4b | (+.f64 (/.f64 lo hi) 1) |
2 calls:
| 40.0ms | (*.f64 (cbrt.f64 lo) (cbrt.f64 lo)) |
| 14.0ms | (+.f64 -1 (*.f64 (neg.f64 (/.f64 (*.f64 (cbrt.f64 lo) (cbrt.f64 lo)) 1)) (/.f64 (cbrt.f64 lo) hi))) |
| 1× | rewrite-expression-head |
| 19× | add-sqr-sqrt_binary64 |
| 16× | cbrt-prod_binary64 |
| 11× | *-un-lft-identity_binary64 |
| 11× | add-cube-cbrt_binary64 |
| 9× | pow1_binary64 |
2 calls:
| 4.0ms | (*.f64 (cbrt.f64 lo) (cbrt.f64 lo)) |
| 2.0ms | (+.f64 -1 (*.f64 (neg.f64 (/.f64 (*.f64 (cbrt.f64 lo) (cbrt.f64 lo)) 1)) (/.f64 (cbrt.f64 lo) hi))) |
| 1× | egg-herbie |
| 735× | fma-def_binary64 |
| 477× | fma-neg_binary64 |
| 267× | unsub-neg_binary64 |
| 262× | associate-*l/_binary64 |
| 246× | unswap-sqr_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 1103 |
| 1 | 195 | 760 |
| 2 | 606 | 720 |
| 3 | 2342 | 704 |
| 4 | 4146 | 626 |
| 5 | 4913 | 626 |
| 6 | 4893 | 626 |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 168 | 2 | 170 |
| Fresh | 3 | 6 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 172 | 8 | 180 |
| Status | Error | Program |
| 52.4b | (+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (/.f64 (*.f64 lo (-.f64 1 (pow.f64 (/.f64 lo hi) 2))) (*.f64 hi (+.f64 -1 (/.f64 lo hi))))) (pow.f64 (/.f64 lo hi) 3))) | |
| 57.6b | (+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (neg.f64 (pow.f64 (/.f64 lo hi) 2))) (pow.f64 (/.f64 lo hi) 3))) | |
| 51.9b | (+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (*.f64 (/.f64 lo hi) (+.f64 -1 (*.f64 (neg.f64 (/.f64 (expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 lo) (cbrt.f64 lo)))) 1)) (/.f64 (cbrt.f64 lo) hi))))) (pow.f64 (/.f64 lo hi) 3))) | |
| 51.9b | (+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (*.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (*.f64 (pow.f64 (/.f64 (*.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (*.f64 (cbrt.f64 hi) (cbrt.f64 hi))) 3) (pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3)))) | |
| 51.9b | (+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (*.f64 (/.f64 lo hi) (+.f64 -1 (*.f64 (neg.f64 (/.f64 (*.f64 (cbrt.f64 lo) (cbrt.f64 lo)) 1)) (/.f64 (cbrt.f64 lo) hi))))) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 lo hi) 3)) (cbrt.f64 (pow.f64 (/.f64 lo hi) 3))) (cbrt.f64 (pow.f64 (/.f64 lo hi) 3))))) | |
| 51.9b | (-.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) | |
| 57.6b | (-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)) (pow.f64 (/.f64 hi lo) 3))) (+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) | |
| ▶ | 51.9b | (+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (*.f64 lo (/.f64 (-.f64 -1 (/.f64 lo hi)) hi))) (pow.f64 (/.f64 lo hi) 3))) |
Compiled 8669 to 3395 computations (60.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.7b | (pow.f64 (/.f64 lo hi) 3) | |
| 1.4b | (+.f64 (/.f64 lo hi) 1) | |
| 1.4b | (-.f64 -1 (/.f64 lo hi)) | |
| ✓ | 2.9b | (*.f64 lo (/.f64 (-.f64 -1 (/.f64 lo hi)) hi)) |
1 calls:
| 16.0ms | (*.f64 lo (/.f64 (-.f64 -1 (/.f64 lo hi)) hi)) |
| 1× | rewrite-expression-head |
| 32× | add-sqr-sqrt_binary64 |
| 22× | associate-*r*_binary64 |
| 22× | times-frac_binary64 |
| 18× | *-un-lft-identity_binary64 |
| 12× | add-cube-cbrt_binary64 |
1 calls:
| 10.0ms | (*.f64 lo (/.f64 (-.f64 -1 (/.f64 lo hi)) hi)) |
| 1× | egg-herbie |
| 446× | div-sub_binary64 |
| 356× | associate-*l*_binary64 |
| 291× | fma-def_binary64 |
| 270× | associate-*r*_binary64 |
| 255× | associate-/l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 1162 |
| 1 | 226 | 1081 |
| 2 | 752 | 981 |
| 3 | 2636 | 981 |
| 4 | 4149 | 977 |
| 5 | 5440 | 977 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 223 | 2 | 225 |
| Fresh | 0 | 7 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 224 | 9 | 233 |
| Status | Error | Program |
| 52.4b | (+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (/.f64 (*.f64 lo (-.f64 1 (pow.f64 (/.f64 lo hi) 2))) (*.f64 hi (+.f64 -1 (/.f64 lo hi))))) (pow.f64 (/.f64 lo hi) 3))) | |
| 57.6b | (+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (neg.f64 (pow.f64 (/.f64 lo hi) 2))) (pow.f64 (/.f64 lo hi) 3))) | |
| 51.9b | (+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (*.f64 (/.f64 lo hi) (+.f64 -1 (*.f64 (neg.f64 (/.f64 (expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 lo) (cbrt.f64 lo)))) 1)) (/.f64 (cbrt.f64 lo) hi))))) (pow.f64 (/.f64 lo hi) 3))) | |
| 51.9b | (+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (*.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (*.f64 (pow.f64 (/.f64 (*.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (*.f64 (cbrt.f64 hi) (cbrt.f64 hi))) 3) (pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3)))) | |
| 51.9b | (+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (*.f64 (/.f64 lo hi) (+.f64 -1 (*.f64 (neg.f64 (/.f64 (*.f64 (cbrt.f64 lo) (cbrt.f64 lo)) 1)) (/.f64 (cbrt.f64 lo) hi))))) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 lo hi) 3)) (cbrt.f64 (pow.f64 (/.f64 lo hi) 3))) (cbrt.f64 (pow.f64 (/.f64 lo hi) 3))))) | |
| 57.6b | (+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (*.f64 lo (/.f64 (neg.f64 (/.f64 lo hi)) hi))) (pow.f64 (/.f64 lo hi) 3))) | |
| 51.9b | (+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (*.f64 (*.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (*.f64 (cbrt.f64 lo) (/.f64 (-.f64 -1 (/.f64 lo hi)) hi)))) (pow.f64 (/.f64 lo hi) 3))) | |
| 51.9b | (-.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) | |
| 57.6b | (-.f64 (+.f64 1 (+.f64 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)) (pow.f64 (/.f64 hi lo) 3))) (+.f64 (/.f64 x lo) (*.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) |
Compiled 10262 to 3954 computations (61.5% saved)
Total 1.3b remaining (2.4%)
Threshold costs 0b (0%)
Compiled 14806 to 7000 computations (52.7% saved)
| 1× | egg-herbie |
| 6× | +-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 4× | *-commutative_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 44 |
| 1 | 21 | 44 |
| 2 | 30 | 44 |
| 3 | 36 | 44 |
| 4 | 40 | 44 |
| 5 | 41 | 44 |
| 6 | 41 | 44 |
Compiled 445 to 219 computations (50.8% saved)
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