Time bar (total: 9.4s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.7% | 0.3% | 0 |
| 0% | 99.7% | 0.3% | 1 |
| 0% | 99.7% | 0.3% | 2 |
| 0% | 99.7% | 0.3% | 3 |
| 0% | 99.7% | 0.3% | 4 |
| 0% | 99.7% | 0.3% | 5 |
| 0% | 99.7% | 0.3% | 6 |
| 0% | 99.7% | 0.3% | 7 |
| 0% | 99.7% | 0.3% | 8 |
| 0% | 99.7% | 0.3% | 9 |
| 0% | 99.7% | 0.3% | 10 |
| 0% | 99.7% | 0.3% | 11 |
| 0% | 99.7% | 0.3% | 12 |
| 0% | 99.7% | 0.3% | 13 |
| 0% | 99.7% | 0.3% | 14 |
Compiled 27 to 19 computations (29.6% saved)
(sort x y)
(sort t a)
| 1.7s | 8256× | body | 128 | valid |
| 920.0ms | 5017× | body | 128 | invalid |
Compiled 80 to 56 computations (30% saved)
| 1× | egg-herbie |
| 828× | fma-def_binary64 |
| 568× | div-sub_binary64 |
| 502× | associate-/r/_binary64 |
| 476× | distribute-neg-frac_binary64 |
| 465× | cancel-sign-sub-inv_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 28 |
| 1 | 42 | 28 |
| 2 | 116 | 24 |
| 3 | 352 | 24 |
| 4 | 880 | 23 |
| 5 | 2041 | 21 |
| 6 | 4154 | 21 |
| 7 | 4365 | 21 |
| 8 | 4941 | 21 |
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 |
| ▶ | 14.7b | (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c) |
| 19.2b | (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) |
Compiled 137 to 92 computations (32.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) |
| ✓ | 0.3b | (fma.f64 x (*.f64 9 y) b) |
| ✓ | 2.0b | (/.f64 (fma.f64 x (*.f64 9 y) b) z) |
| ✓ | 12.0b | (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c) |
4 calls:
| 85.0ms | (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c) |
| 38.0ms | (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) |
| 21.0ms | (/.f64 (fma.f64 x (*.f64 9 y) b) z) |
| 9.0ms | (fma.f64 x (*.f64 9 y) b) |
| 2× | batch-egg-rewrite |
| 334× | prod-diff_binary64 |
| 302× | log1p-udef_binary64 |
| 166× | add-sqr-sqrt_binary64 |
| 155× | add-log-exp_binary64 |
| 155× | log1p-expm1-u_binary64 |
4 calls:
| 78.0ms | (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) |
| 78.0ms | (fma.f64 x (*.f64 9 y) b) |
| 78.0ms | (/.f64 (fma.f64 x (*.f64 9 y) b) z) |
| 78.0ms | (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 58 |
| 1 | 330 | 58 |
| 2 | 3974 | 58 |
| 3 | 5104 | 58 |
| 0 | 0 | 0 |
| 1 | 0 | 0 |
| 1× | egg-herbie |
| 834× | associate-/r/_binary64 |
| 656× | div-sub_binary64 |
| 485× | distribute-lft-neg-in_binary64 |
| 456× | unsub-neg_binary64 |
| 438× | fma-neg_binary64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 4761 |
| 1 | 113 | 4427 |
| 2 | 272 | 4179 |
| 3 | 715 | 3981 |
| 4 | 1384 | 3981 |
| 5 | 2458 | 3981 |
| 6 | 3473 | 3486 |
| 7 | 3933 | 3486 |
| 8 | 3923 | 3486 |
| 9 | 4058 | 3486 |
| 10 | 4127 | 3486 |
| 11 | 4143 | 3486 |
| 12 | 4865 | 3486 |
| 13 | 4928 | 3486 |
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 133 | 13 | 146 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 134 | 14 | 148 |
| Status | Error | Program |
| 38.2b | (pow.f64 (sqrt.f64 (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c)) 2) | |
| 35.7b | (/.f64 (+.f64 (*.f64 9 (/.f64 (*.f64 y x) z)) (/.f64 b z)) c) | |
| 14.8b | (/.f64 (fma.f64 t (*.f64 a -4) (*.f64 (fma.f64 x (*.f64 9 y) b) (/.f64 1 z))) c) | |
| 15.5b | (*.f64 (cbrt.f64 (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c)) 2)) | |
| 15.4b | (*.f64 (pow.f64 (cbrt.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z))) 2) (*.f64 (cbrt.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z))) (/.f64 1 c))) | |
| 45.1b | (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z))) | |
| 40.7b | (cbrt.f64 (pow.f64 (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c) 3)) | |
| 40.9b | (/.f64 (fma.f64 t (*.f64 a -4) (*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (fma.f64 x (*.f64 9 y) b) (sqrt.f64 z)))) c) | |
| 41.5b | (*.f64 (sqrt.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z))) (*.f64 (sqrt.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z))) (/.f64 1 c))) | |
| 19.2b | (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) | |
| 47.2b | (/.f64 b (*.f64 c z)) | |
| 14.8b | (*.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (/.f64 1 c)) | |
| 38.6b | (*.f64 -4 (/.f64 (*.f64 a t) c)) | |
| ▶ | 11.5b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z)))) (*.f64 4 (/.f64 (*.f64 a t) c))) |
Compiled 3621 to 2162 computations (40.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z))) |
| ✓ | 4.3b | (/.f64 b (*.f64 c z)) |
| ✓ | 5.0b | (/.f64 (*.f64 a t) c) |
| ✓ | 9.4b | (/.f64 (*.f64 y x) (*.f64 c z)) |
4 calls:
| 71.0ms | (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z))) |
| 60.0ms | (/.f64 (*.f64 y x) (*.f64 c z)) |
| 34.0ms | (/.f64 b (*.f64 c z)) |
| 27.0ms | (/.f64 (*.f64 a t) c) |
| 2× | batch-egg-rewrite |
| 174× | times-frac_binary64 |
| 174× | add-sqr-sqrt_binary64 |
| 163× | egg-rr |
| 162× | add-log-exp_binary64 |
| 162× | log1p-expm1-u_binary64 |
4 calls:
| 126.0ms | (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z))) |
| 126.0ms | (/.f64 b (*.f64 c z)) |
| 126.0ms | (/.f64 (*.f64 a t) c) |
| 126.0ms | (/.f64 (*.f64 y x) (*.f64 c z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 37 |
| 1 | 344 | 37 |
| 2 | 4919 | 37 |
| 3 | 5128 | 37 |
| 0 | 0 | 0 |
| 1 | 0 | 0 |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1 | 0 | 0 |
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 156 | 7 | 163 |
| Fresh | 7 | 6 | 13 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 164 | 13 | 177 |
| Status | Error | Program |
| 12.0b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (*.f64 (/.f64 y z) (/.f64 x c)))) (*.f64 4 (/.f64 (*.f64 a t) c))) | |
| 38.2b | (pow.f64 (sqrt.f64 (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c)) 2) | |
| 35.7b | (/.f64 (+.f64 (*.f64 9 (/.f64 (*.f64 y x) z)) (/.f64 b z)) c) | |
| 10.9b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z)))) (*.f64 4 (*.f64 (/.f64 a c) t))) | |
| 47.2b | (/.f64 b (*.f64 c z)) | |
| 12.5b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (*.f64 (/.f64 y c) (/.f64 x z)))) (*.f64 4 (/.f64 (*.f64 a t) c))) | |
| 14.8b | (*.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (/.f64 1 c)) | |
| ▶ | 9.1b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (*.f64 (/.f64 y (*.f64 c z)) x))) (*.f64 4 (/.f64 (*.f64 a t) c))) |
| 11.7b | (-.f64 (+.f64 (*.f64 b (/.f64 1 (*.f64 c z))) (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z)))) (*.f64 4 (/.f64 (*.f64 a t) c))) | |
| 33.9b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z)))) (*.f64 4 (*.f64 (sqrt.f64 (*.f64 a t)) (*.f64 (sqrt.f64 (*.f64 a t)) (/.f64 1 c))))) | |
| 10.1b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z)))) (*.f64 4 (*.f64 (/.f64 a 1) (/.f64 t c)))) | |
| 40.9b | (/.f64 (fma.f64 t (*.f64 a -4) (*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (fma.f64 x (*.f64 9 y) b) (sqrt.f64 z)))) c) | |
| 19.2b | (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) |
Compiled 5188 to 1984 computations (61.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 3.8b | (*.f64 (/.f64 y (*.f64 c z)) x) |
| 4.3b | (/.f64 b (*.f64 c z)) | |
| ✓ | 4.8b | (/.f64 y (*.f64 c z)) |
| 5.0b | (/.f64 (*.f64 a t) c) |
2 calls:
| 31.0ms | (*.f64 (/.f64 y (*.f64 c z)) x) |
| 18.0ms | (/.f64 y (*.f64 c z)) |
| 2× | batch-egg-rewrite |
| 867× | log1p-expm1-u_binary64 |
| 867× | expm1-log1p-u_binary64 |
| 86× | add-sqr-sqrt_binary64 |
| 79× | add-log-exp_binary64 |
| 78× | add-cube-cbrt_binary64 |
2 calls:
| 58.0ms | (*.f64 (/.f64 y (*.f64 c z)) x) |
| 58.0ms | (/.f64 y (*.f64 c z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 166 | 17 |
| 2 | 2229 | 17 |
| 3 | 5427 | 17 |
| 0 | 0 | 0 |
| 1 | 0 | 0 |
| 1× | egg-herbie |
| 14× | associate-/l*_binary64 |
| 9× | associate-*r/_binary64 |
| 9× | associate-/r/_binary64 |
| 7× | *-commutative_binary64 |
| 6× | associate-/r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 480 |
| 1 | 17 | 480 |
| 2 | 38 | 480 |
| 3 | 63 | 480 |
| 4 | 69 | 480 |
| 5 | 68 | 480 |
| 6 | 68 | 480 |
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 148 | 2 | 150 |
| Fresh | 2 | 10 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 151 | 12 | 163 |
| Status | Error | Program |
| 12.0b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (*.f64 (/.f64 y z) (/.f64 x c)))) (*.f64 4 (/.f64 (*.f64 a t) c))) | |
| 38.2b | (pow.f64 (sqrt.f64 (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c)) 2) | |
| 35.7b | (/.f64 (+.f64 (*.f64 9 (/.f64 (*.f64 y x) z)) (/.f64 b z)) c) | |
| 11.9b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (*.f64 (*.f64 (/.f64 1 c) (/.f64 y z)) x))) (*.f64 4 (/.f64 (*.f64 a t) c))) | |
| 12.5b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (*.f64 (/.f64 y c) (/.f64 x z)))) (*.f64 4 (/.f64 (*.f64 a t) c))) | |
| 14.8b | (*.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (/.f64 1 c)) | |
| 11.7b | (-.f64 (+.f64 (*.f64 b (/.f64 1 (*.f64 c z))) (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z)))) (*.f64 4 (/.f64 (*.f64 a t) c))) | |
| 33.9b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z)))) (*.f64 4 (*.f64 (sqrt.f64 (*.f64 a t)) (*.f64 (sqrt.f64 (*.f64 a t)) (/.f64 1 c))))) | |
| 10.1b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z)))) (*.f64 4 (*.f64 (/.f64 a 1) (/.f64 t c)))) | |
| 40.9b | (/.f64 (fma.f64 t (*.f64 a -4) (*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (fma.f64 x (*.f64 9 y) b) (sqrt.f64 z)))) c) | |
| ▶ | 8.6b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (*.f64 (/.f64 y (*.f64 c z)) x))) (*.f64 4 (*.f64 (/.f64 a c) t))) |
| 19.2b | (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) |
Compiled 4815 to 1899 computations (60.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 3.8b | (*.f64 (/.f64 y (*.f64 c z)) x) | |
| 4.3b | (/.f64 b (*.f64 c z)) | |
| 4.8b | (/.f64 y (*.f64 c z)) | |
| ✓ | 6.0b | (*.f64 (/.f64 a c) t) |
1 calls:
| 16.0ms | (*.f64 (/.f64 a c) t) |
| 2× | batch-egg-rewrite |
| 629× | log1p-expm1-u_binary64 |
| 629× | expm1-log1p-u_binary64 |
| 349× | log-prod_binary64 |
| 119× | expm1-udef_binary64 |
| 119× | log1p-udef_binary64 |
1 calls:
| 42.0ms | (*.f64 (/.f64 a c) t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 125 | 7 |
| 2 | 1630 | 7 |
| 3 | 5114 | 7 |
| 0 | 0 | 0 |
| 1 | 0 | 0 |
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 2× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 252 |
| 1 | 9 | 252 |
| 2 | 13 | 252 |
| 3 | 16 | 252 |
| 4 | 17 | 252 |
| 5 | 17 | 252 |
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 135 | 1 | 136 |
| Fresh | 1 | 10 | 11 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 136 | 12 | 148 |
| Status | Error | Program |
| 12.0b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (*.f64 (/.f64 y z) (/.f64 x c)))) (*.f64 4 (/.f64 (*.f64 a t) c))) | |
| 38.2b | (pow.f64 (sqrt.f64 (/.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) c)) 2) | |
| 35.7b | (/.f64 (+.f64 (*.f64 9 (/.f64 (*.f64 y x) z)) (/.f64 b z)) c) | |
| 11.9b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (*.f64 (*.f64 (/.f64 1 c) (/.f64 y z)) x))) (*.f64 4 (/.f64 (*.f64 a t) c))) | |
| 12.5b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (*.f64 (/.f64 y c) (/.f64 x z)))) (*.f64 4 (/.f64 (*.f64 a t) c))) | |
| 14.8b | (*.f64 (fma.f64 t (*.f64 a -4) (/.f64 (fma.f64 x (*.f64 9 y) b) z)) (/.f64 1 c)) | |
| 11.7b | (-.f64 (+.f64 (*.f64 b (/.f64 1 (*.f64 c z))) (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z)))) (*.f64 4 (/.f64 (*.f64 a t) c))) | |
| 10.1b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (/.f64 (*.f64 y x) (*.f64 c z)))) (*.f64 4 (*.f64 (/.f64 a 1) (/.f64 t c)))) | |
| 40.9b | (/.f64 (fma.f64 t (*.f64 a -4) (*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (fma.f64 x (*.f64 9 y) b) (sqrt.f64 z)))) c) | |
| ✓ | 8.6b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (*.f64 (/.f64 y (*.f64 c z)) x))) (*.f64 4 (*.f64 (/.f64 a c) t))) |
| 7.8b | (-.f64 (+.f64 (/.f64 b (*.f64 c z)) (*.f64 9 (*.f64 (/.f64 y (*.f64 c z)) x))) (*.f64 4 (/.f64 a (/.f64 c t)))) | |
| 19.2b | (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) |
Compiled 4038 to 1522 computations (62.3% saved)
Total 4.8b remaining (99.1%)
Threshold costs 0b (0%)
Compiled 19150 to 13080 computations (31.7% saved)
Compiled 26 to 18 computations (30.8% saved)
| 1× | egg-herbie |
| 25× | *-commutative_binary64 |
| 17× | +-commutative_binary64 |
| 14× | sub-neg_binary64 |
| 12× | distribute-rgt-neg-in_binary64 |
| 11× | distribute-lft-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 218 |
| 1 | 81 | 218 |
| 2 | 109 | 218 |
| 3 | 138 | 218 |
| 4 | 157 | 218 |
| 5 | 166 | 218 |
| 6 | 168 | 218 |
| 7 | 167 | 218 |
Compiled 1263 to 738 computations (41.6% saved)
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