Time bar (total: 5.9s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 74.9% | 25% | 0.1% | 3 |
| 87.4% | 12.5% | 0.1% | 4 |
| 93.7% | 6.2% | 0.1% | 5 |
| 96.8% | 3.1% | 0.1% | 6 |
| 98.3% | 1.6% | 0.1% | 7 |
| 99.1% | 0.8% | 0.1% | 8 |
| 99.5% | 0.4% | 0.1% | 9 |
| 99.7% | 0.2% | 0.1% | 10 |
| 99.8% | 0.1% | 0.1% | 11 |
| 99.9% | 0% | 0.1% | 12 |
| 99.9% | 0% | 0.1% | 13 |
| 99.9% | 0% | 0.1% | 14 |
Compiled 15 to 11 computations (26.7% saved)
(sort re im)
| 1.2s | 8256× | body | 128 | valid |
Compiled 44 to 32 computations (27.3% saved)
| 1× | egg-herbie |
| 2× | hypot-def_binary64 |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 11 |
| 1 | 14 | 11 |
| 2 | 16 | 11 |
| 3 | 16 | 11 |
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 |
| ▶ | 0.6b | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) |
Compiled 39 to 29 computations (25.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
| ✓ | 0.6b | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) |
1 calls:
| 33.0ms | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) |
| 1× | rewrite-expression-head |
| 16× | times-frac_binary64 |
| 11× | *-un-lft-identity_binary64 |
| 11× | add-sqr-sqrt_binary64 |
| 11× | add-cube-cbrt_binary64 |
| 11× | pow1_binary64 |
1 calls:
| 3.0ms | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) |
| 1× | egg-herbie |
| 556× | associate-/l/_binary64 |
| 403× | associate-/r/_binary64 |
| 315× | times-frac_binary64 |
| 236× | associate-/l*_binary64 |
| 233× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 134 | 1669 |
| 1 | 331 | 1611 |
| 2 | 852 | 1567 |
| 3 | 2813 | 1547 |
| 4 | 4895 | 1547 |
| 5 | 5033 | 1547 |
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 58 | 13 | 71 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 59 | 13 | 72 |
| Status | Error | Program |
| 0.7b | (/.f64 1 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im)))) | |
| 32.4b | (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) | |
| 17.1b | (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 10) (sqrt.f64 (log.f64 (hypot.f64 re im))))) | |
| 17.4b | (exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) | |
| 1.4b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (*.f64 (cbrt.f64 (log.f64 10)) (cbrt.f64 (log.f64 10)))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 10)))) | |
| 1.2b | (*.f64 (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 10))) | |
| ▶ | 0.6b | (*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))) |
| 17.0b | (*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) | |
| 0.7b | (cbrt.f64 (/.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (hypot.f64 re im))) (log.f64 (hypot.f64 re im))) (*.f64 (*.f64 (log.f64 10) (log.f64 10)) (log.f64 10)))) | |
| 1.2b | (*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) | |
| 0.7b | (cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) | |
| 1.2b | (/.f64 (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (log.f64 10) (cbrt.f64 (log.f64 (hypot.f64 re im))))) | |
| 16.8b | (expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) |
Compiled 1988 to 1321 computations (33.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))) |
| ✓ | 0.4b | (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) |
2 calls:
| 38.0ms | (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) |
| 34.0ms | (*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))) |
| 1× | rewrite-expression-head |
| 99× | times-frac_binary64 |
| 96× | add-sqr-sqrt_binary64 |
| 59× | sqrt-prod_binary64 |
| 56× | *-un-lft-identity_binary64 |
| 50× | add-cube-cbrt_binary64 |
2 calls:
| 19.0ms | (*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))) |
| 4.0ms | (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) |
| 1× | egg-herbie |
| 605× | fma-def_binary64 |
| 563× | associate-/r*_binary64 |
| 405× | fma-neg_binary64 |
| 308× | associate-/l/_binary64 |
| 218× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 265 | 5977 |
| 1 | 731 | 5300 |
| 2 | 2185 | 5063 |
| 3 | 4589 | 5035 |
| 4 | 4992 | 5035 |
| 5 | 4986 | 5035 |
| 6 | 4960 | 5035 |
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 231 | 5 | 236 |
| Fresh | 6 | 6 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 238 | 11 | 249 |
| Status | Error | Program |
| 0.7b | (cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 1 (sqrt.f64 (log.f64 10)))) (/.f64 1 (sqrt.f64 (log.f64 10)))) (*.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))))) | |
| 1.3b | (*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))))) | |
| 0.7b | (/.f64 1 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im)))) | |
| 0.6b | (/.f64 (*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 10))) | |
| 17.1b | (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))) (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))))) | |
| 1.4b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (*.f64 (cbrt.f64 (log.f64 10)) (cbrt.f64 (log.f64 10)))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 10)))) | |
| 17.0b | (*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) | |
| ▶ | 0.3b | (*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (log.f64 (pow.f64 (hypot.f64 re im) (sqrt.f64 (/.f64 1 (log.f64 10)))))) |
| 0.7b | (cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) | |
| 17.1b | (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 10) (sqrt.f64 (log.f64 (hypot.f64 re im))))) | |
| 1.2b | (/.f64 (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (log.f64 10) (cbrt.f64 (log.f64 (hypot.f64 re im))))) |
Compiled 6766 to 5058 computations (25.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (log.f64 (pow.f64 (hypot.f64 re im) (sqrt.f64 (/.f64 1 (log.f64 10))))) |
| ✓ | 0.3b | (*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (log.f64 (pow.f64 (hypot.f64 re im) (sqrt.f64 (/.f64 1 (log.f64 10)))))) |
| ✓ | 1.0b | (/.f64 1 (log.f64 10)) |
| ✓ | 3.9b | (pow.f64 (hypot.f64 re im) (sqrt.f64 (/.f64 1 (log.f64 10)))) |
4 calls:
| 147.0ms | (log.f64 (pow.f64 (hypot.f64 re im) (sqrt.f64 (/.f64 1 (log.f64 10))))) |
| 135.0ms | (pow.f64 (hypot.f64 re im) (sqrt.f64 (/.f64 1 (log.f64 10)))) |
| 100.0ms | (*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (log.f64 (pow.f64 (hypot.f64 re im) (sqrt.f64 (/.f64 1 (log.f64 10)))))) |
| 0.0ms | (/.f64 1 (log.f64 10)) |
| 1× | rewrite-expression-head |
| 56× | add-sqr-sqrt_binary64 |
| 49× | times-frac_binary64 |
| 46× | *-un-lft-identity_binary64 |
| 44× | add-cube-cbrt_binary64 |
| 30× | sqrt-prod_binary64 |
4 calls:
| 9.0ms | (*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (log.f64 (pow.f64 (hypot.f64 re im) (sqrt.f64 (/.f64 1 (log.f64 10)))))) |
| 4.0ms | (pow.f64 (hypot.f64 re im) (sqrt.f64 (/.f64 1 (log.f64 10)))) |
| 4.0ms | (/.f64 1 (log.f64 10)) |
| 2.0ms | (log.f64 (pow.f64 (hypot.f64 re im) (sqrt.f64 (/.f64 1 (log.f64 10))))) |
| 1× | egg-herbie |
| 376× | associate-*r*_binary64 |
| 343× | fma-def_binary64 |
| 323× | associate-*l*_binary64 |
| 316× | fma-neg_binary64 |
| 249× | associate-/l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 461 | 8758 |
| 1 | 1388 | 8271 |
| 2 | 4791 | 8090 |
| 3 | 4700 | 7998 |
| 4 | 4922 | 7994 |
| 5 | 5033 | 7994 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 328 | 2 | 330 |
| Fresh | 5 | 5 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 333 | 8 | 341 |
| Status | Error | Program |
| 0.7b | (cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 1 (sqrt.f64 (log.f64 10)))) (/.f64 1 (sqrt.f64 (log.f64 10)))) (*.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))))) | |
| 1.3b | (*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))))) | |
| 1.4b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (*.f64 (cbrt.f64 (log.f64 10)) (cbrt.f64 (log.f64 10)))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 10)))) | |
| 17.1b | (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (hypot.f64 re im))))) (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (hypot.f64 re im)))))) | |
| ✓ | 0.3b | (*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (log.f64 (pow.f64 (hypot.f64 re im) (sqrt.f64 (/.f64 1 (log.f64 10)))))) |
| ▶ | 0.2b | (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (sqrt.f64 (log.f64 10))))) |
| 0.7b | (cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) | |
| 1.2b | (/.f64 (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (log.f64 10) (cbrt.f64 (log.f64 (hypot.f64 re im))))) |
Compiled 12151 to 10154 computations (16.4% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (sqrt.f64 (log.f64 10))))) |
| 1.0b | (/.f64 1 (log.f64 10)) | |
| ✓ | 4.4b | (pow.f64 (hypot.f64 re im) (/.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (sqrt.f64 (log.f64 10)))) |
2 calls:
| 76.0ms | (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (sqrt.f64 (log.f64 10))))) |
| 60.0ms | (pow.f64 (hypot.f64 re im) (/.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (sqrt.f64 (log.f64 10)))) |
| 1× | rewrite-expression-head |
| 217× | times-frac_binary64 |
| 188× | sqrt-prod_binary64 |
| 137× | pow-unpow_binary64 |
| 107× | *-un-lft-identity_binary64 |
| 107× | add-sqr-sqrt_binary64 |
2 calls:
| 11.0ms | (pow.f64 (hypot.f64 re im) (/.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (sqrt.f64 (log.f64 10)))) |
| 2.0ms | (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (sqrt.f64 (log.f64 10))))) |
| 1× | egg-herbie |
| 336× | times-frac_binary64 |
| 293× | associate-/r*_binary64 |
| 283× | associate-/l*_binary64 |
| 241× | fma-neg_binary64 |
| 189× | sub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 367 | 7123 |
| 1 | 1204 | 7011 |
| 2 | 4581 | 7009 |
| 3 | 5048 | 7009 |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 283 | 2 | 285 |
| Fresh | 3 | 3 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 286 | 7 | 293 |
| Status | Error | Program |
| 16.9b | (*.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (sqrt.f64 (log.f64 10)))))) (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (sqrt.f64 (log.f64 10))))))) | |
| 17.1b | (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (hypot.f64 re im))))) (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (hypot.f64 re im)))))) | |
| ✓ | 0.3b | (*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (log.f64 (pow.f64 (hypot.f64 re im) (sqrt.f64 (/.f64 1 (log.f64 10)))))) |
| 0.4b | (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (sqrt.f64 (log.f64 10))))))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (sqrt.f64 (log.f64 10))))))) | |
| ✓ | 0.2b | (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (sqrt.f64 (log.f64 10))))) |
| 0.7b | (cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) | |
| 1.2b | (/.f64 (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (log.f64 10) (cbrt.f64 (log.f64 (hypot.f64 re im))))) |
Compiled 9583 to 7991 computations (16.6% saved)
Total 0.1b remaining (88.3%)
Threshold costs 0.1b (88.3%)
Compiled 29690 to 24411 computations (17.8% saved)
| 1× | egg-herbie |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 26 |
| 1 | 16 | 26 |
| 2 | 15 | 26 |
(sort re im)
Compiled 261 to 211 computations (19.2% saved)
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