Time bar (total: 9.9s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 12.5% | 87.4% | 0.1% | 5 |
| 18.7% | 81.1% | 0.1% | 6 |
| 21.8% | 71.8% | 6.4% | 7 |
| 31.2% | 62.4% | 6.4% | 8 |
| 35.9% | 55.4% | 8.7% | 9 |
| 37.8% | 48.8% | 13.4% | 10 |
| 42.7% | 42.3% | 15% | 11 |
| 47.7% | 34.2% | 18.1% | 12 |
| 49.1% | 30.4% | 20.5% | 13 |
| 51.9% | 25.8% | 22.3% | 14 |
Compiled 18 to 15 computations (16.7% saved)
| 1× | intervals |
| 10.0ms | 45× | body | 2048 | valid |
| 8.0ms | 160× | body | 128 | valid |
| 4.0ms | 14× | body | 4096 | valid |
| 3.0ms | 19× | body | 1024 | valid |
| 2.0ms | 13× | body | 512 | valid |
| 1.0ms | 21× | body | 128 | nan |
| 0.0ms | 5× | body | 256 | valid |
| 0.0ms | 8× | body | 128 | invalid |
Compiled 35 to 32 computations (8.6% saved)
| 1× | egg-herbie |
Useful iterations: 0 (335.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1834 | 24 |
| 1 | 1834 | 24 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 1 | 2 |
Compiled 32 to 26 computations (18.8% saved)
Found 8 expressions with local error:
| 0.6b | (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) |
| 0.2b | (*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) a)) |
| 0.1b | (/.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) a) |
| 0.0b | (*.f64 4 (*.f64 a c)) |
| 0.2b | (*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) a)) |
| 0.6b | (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) |
| 0.8b | (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))) |
| 26.5b | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) |
| 1× | rewrite-expression-head |
| 22× | *-un-lft-identity_binary64_419 |
| 20× | add-sqr-sqrt_binary64_441 |
| 16× | associate-*r*_binary64_359 |
| 14× | add-cube-cbrt_binary64_454 |
| 13× | times-frac_binary64_425 |
| 9× | add-cbrt-cube_binary64_455 add-exp-log_binary64_457 |
| 8× | add-log-exp_binary64_458 |
| 7× | pow1_binary64_480 |
| 4× | distribute-lft-out_binary64_370 |
| 3× | associate-*l*_binary64_360 sqrt-prod_binary64_435 |
| 2× | sqrt-div_binary64_436 unswap-sqr_binary64_387 prod-exp_binary64_468 cbrt-unprod_binary64_452 flip3--_binary64_423 flip--_binary64_394 |
| 1× | flip3-+_binary64_422 pow-prod-down_binary64_490 sub-neg_binary64_412 pow1/2_binary64_499 div-inv_binary64_416 sum-log_binary64_510 associate-*r/_binary64_361 *-commutative_binary64_350 flip-+_binary64_393 diff-log_binary64_511 sqrt-pow1_binary64_437 cancel-sign-sub-inv_binary64_385 rem-sqrt-square_binary64_432 +-commutative_binary64_349 div-exp_binary64_470 cbrt-undiv_binary64_453 |
8 calls:
| 12.0ms | (*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) a)) |
| 6.0ms | (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) |
| 4.0ms | (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))) |
| 4.0ms | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) |
| 0.0ms | (*.f64 4 (*.f64 a c)) |
4 calls:
| 223.0ms | (*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) a)) |
| 159.0ms | (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) |
| 151.0ms | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) |
| 145.0ms | (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))) |
Compiled 2172 to 1828 computations (15.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (57.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4936 | 2958 |
| 1 | 4936 | 2958 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 143 | 7 | 150 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 144 | 7 | 151 |
Compiled 3089 to 1620 computations (47.6% saved)
Found 8 expressions with local error:
| 0.8b | (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))) |
| 0.0b | (*.f64 4 (*.f64 a c)) |
| 0.0b | (*.f64 4 (*.f64 a c)) |
| 0.0b | (*.f64 -1/2 (/.f64 (/.f64 (*.f64 4 (*.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))) a)) |
| 1.2b | (-.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) |
| 3.3b | (/.f64 (/.f64 (*.f64 4 (*.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))) a) |
| 10.2b | (/.f64 (*.f64 4 (*.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))) |
| 26.5b | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) |
| 1× | rewrite-expression-head |
| 66× | times-frac_binary64_425 |
| 59× | add-sqr-sqrt_binary64_441 |
| 44× | *-un-lft-identity_binary64_419 |
| 30× | add-cube-cbrt_binary64_454 |
| 27× | add-cbrt-cube_binary64_455 add-exp-log_binary64_457 |
| 14× | difference-of-squares_binary64_388 |
| 13× | sqrt-prod_binary64_435 associate-/l*_binary64_364 |
| 10× | associate-/r/_binary64_365 div-exp_binary64_470 cbrt-undiv_binary64_453 |
| 9× | associate-/r*_binary64_363 |
| 7× | flip3--_binary64_423 distribute-lft-out--_binary64_371 flip--_binary64_394 |
| 6× | add-log-exp_binary64_458 div-inv_binary64_416 prod-exp_binary64_468 cbrt-unprod_binary64_452 cancel-sign-sub-inv_binary64_385 |
| 5× | pow1_binary64_480 |
| 2× | sqrt-div_binary64_436 clear-num_binary64_418 frac-2neg_binary64_430 |
| 1× | sub-neg_binary64_412 pow1/2_binary64_499 diff-log_binary64_511 sqrt-pow1_binary64_437 rem-sqrt-square_binary64_432 associate-/l/_binary64_366 |
8 calls:
| 14.0ms | (/.f64 (/.f64 (*.f64 4 (*.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))) a) |
| 13.0ms | (/.f64 (*.f64 4 (*.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))) |
| 7.0ms | (-.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) |
| 4.0ms | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) |
| 0.0ms | (*.f64 -1/2 (/.f64 (/.f64 (*.f64 4 (*.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))) a)) |
4 calls:
| 363.0ms | (/.f64 (*.f64 4 (*.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))) |
| 319.0ms | (/.f64 (/.f64 (*.f64 4 (*.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))) a) |
| 164.0ms | (-.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) |
| 160.0ms | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) |
Compiled 3049 to 2389 computations (21.6% saved)
| 1× | egg-herbie |
Useful iterations: 0 (51.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4942 | 6184 |
| 1 | 4942 | 6184 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 206 | 3 | 209 |
| Fresh | 2 | 4 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 209 | 7 | 216 |
Compiled 6002 to 3117 computations (48.1% saved)
Found 8 expressions with local error:
| 0.1b | (/.f64 c (-.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))) |
| 0.0b | (*.f64 4 (*.f64 a c)) |
| 0.0b | (*.f64 4 (*.f64 1 (/.f64 c (-.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))))) |
| 0.0b | (*.f64 -1/2 (*.f64 4 (*.f64 1 (/.f64 c (-.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))))))) |
| 0.1b | (/.f64 c (-.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))) |
| 0.8b | (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))) |
| 1.2b | (-.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) |
| 26.5b | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) |
| 1× | rewrite-expression-head |
| 39× | add-sqr-sqrt_binary64_441 |
| 28× | *-un-lft-identity_binary64_419 |
| 18× | times-frac_binary64_425 add-cube-cbrt_binary64_454 |
| 11× | sqrt-prod_binary64_435 |
| 10× | difference-of-squares_binary64_388 |
| 8× | add-log-exp_binary64_458 |
| 7× | cancel-sign-sub-inv_binary64_385 |
| 6× | add-cbrt-cube_binary64_455 add-exp-log_binary64_457 associate-/r*_binary64_363 |
| 5× | distribute-lft-out--_binary64_371 pow1_binary64_480 |
| 4× | flip3--_binary64_423 flip--_binary64_394 |
| 3× | associate-/l*_binary64_364 |
| 2× | sqrt-div_binary64_436 sub-neg_binary64_412 associate-/r/_binary64_365 diff-log_binary64_511 |
| 1× | clear-num_binary64_418 pow1/2_binary64_499 div-inv_binary64_416 frac-2neg_binary64_430 sqrt-pow1_binary64_437 rem-sqrt-square_binary64_432 div-exp_binary64_470 cbrt-undiv_binary64_453 |
8 calls:
| 8.0ms | (/.f64 c (-.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))) |
| 7.0ms | (-.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) |
| 4.0ms | (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))) |
| 4.0ms | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) |
| 0.0ms | (*.f64 -1/2 (*.f64 4 (*.f64 1 (/.f64 c (-.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))))))) |
4 calls:
| 267.0ms | (/.f64 c (-.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))) |
| 159.0ms | (-.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) |
| 156.0ms | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) |
| 151.0ms | (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))) |
Compiled 2690 to 2305 computations (14.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (43.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4983 | 3577 |
| 1 | 4983 | 3577 |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 161 | 0 | 161 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 161 | 7 | 168 |
Compiled 4145 to 2465 computations (40.5% saved)
Found 8 expressions with local error:
| 0.0b | (*.f64 4 (*.f64 a c)) |
| 0.0b | (*.f64 4 (*.f64 a c)) |
| 0.0b | (*.f64 4 (*.f64 a c)) |
| 0.0b | (*.f64 -1/2 (/.f64 (/.f64 (*.f64 4 (*.f64 a c)) (-.f64 b (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))))) a)) |
| 9.8b | (-.f64 b (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))))) |
| 10.7b | (/.f64 (*.f64 4 (*.f64 a c)) (-.f64 b (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))))) |
| 26.5b | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) |
| 26.5b | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) |
| 1× | rewrite-expression-head |
| 13× | add-sqr-sqrt_binary64_441 add-cbrt-cube_binary64_455 add-exp-log_binary64_457 |
| 8× | *-un-lft-identity_binary64_419 add-cube-cbrt_binary64_454 |
| 6× | add-log-exp_binary64_458 sqrt-prod_binary64_435 pow1_binary64_480 |
| 4× | sqrt-div_binary64_436 times-frac_binary64_425 flip3--_binary64_423 flip--_binary64_394 associate-/r*_binary64_363 |
| 3× | difference-of-squares_binary64_388 prod-exp_binary64_468 cbrt-unprod_binary64_452 div-exp_binary64_470 cbrt-undiv_binary64_453 |
| 2× | pow1/2_binary64_499 associate-/r/_binary64_365 sqrt-pow1_binary64_437 rem-sqrt-square_binary64_432 |
| 1× | clear-num_binary64_418 sub-neg_binary64_412 div-inv_binary64_416 frac-2neg_binary64_430 diff-log_binary64_511 cancel-sign-sub-inv_binary64_385 associate-/l*_binary64_364 |
8 calls:
| 8.0ms | (/.f64 (*.f64 4 (*.f64 a c)) (-.f64 b (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))))) |
| 5.0ms | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) |
| 4.0ms | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) |
| 3.0ms | (-.f64 b (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))))) |
| 0.0ms | (*.f64 -1/2 (/.f64 (/.f64 (*.f64 4 (*.f64 a c)) (-.f64 b (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))))) a)) |
4 calls:
| 376.0ms | (/.f64 (*.f64 4 (*.f64 a c)) (-.f64 b (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))))) |
| 173.0ms | (-.f64 b (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))))) |
| 160.0ms | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) |
| 159.0ms | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) |
Compiled 3906 to 2901 computations (25.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (27.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5236 | 3195 |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 145 | 0 | 145 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 145 | 7 | 152 |
Compiled 4833 to 2486 computations (48.6% saved)
| 1× | egg-herbie |
Useful iterations: 0 (8.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 527 | 1626 |
| 1 | 527 | 1626 |
Compiled 3207 to 2457 computations (23.4% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 9 | 1.1935307154283341e+95 | 4.0136306422491975e+100 | 5.513576328640909e+99 |
| 5 | 2.3280598367501807e-277 | 6.026491473597822e-277 | 3.201370751245736e-277 |
| 9 | -1.0451269989421558e+143 | -1.1049780562537373e+138 | -1.303984552860991e+140 |
Compiled 1 to 3 computations (-200% saved)
Compiled 555 to 528 computations (4.9% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 9 | 1.1935307154283341e+95 | 4.0136306422491975e+100 | 3.0794489170197573e+97 |
| 6 | -5.781806328546769e-124 | -8.565900891222301e-125 | -3.935594578192137e-124 |
Compiled 1 to 3 computations (-200% saved)
Compiled 306 to 321 computations (-4.9% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 8 | 1.4915430749632438e-60 | 8.191130340726901e-58 | 1.192658630200912e-59 |
| 6 | -5.781806328546769e-124 | -8.565900891222301e-125 | -5.7015362524443945e-124 |
Compiled 1 to 3 computations (-200% saved)
Compiled 270 to 288 computations (-6.7% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 8 | 1.4915430749632438e-60 | 8.191130340726901e-58 | 2.0197238409036384e-59 |
| 6 | -5.781806328546769e-124 | -8.565900891222301e-125 | -5.380455948034893e-124 |
Compiled 1 to 3 computations (-200% saved)
Compiled 234 to 252 computations (-7.7% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 8 | 1.4915430749632438e-60 | 8.191130340726901e-58 | 4.156489435550409e-59 |
| 6 | -5.781806328546769e-124 | -8.565900891222301e-125 | -5.7015362524443945e-124 |
Compiled 1 to 3 computations (-200% saved)
Compiled 204 to 222 computations (-8.8% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 2 | -3.4555292518757554e-207 | -3.087791938118972e-207 | -3.1124603004849597e-207 |
Compiled 1 to 3 computations (-200% saved)
Compiled 27 to 69 computations (-155.6% saved)
Total 1.1b remaining (16.3%)
Threshold costs 0b (0%)
Compiled 15 to 54 computations (-260% saved)
Compiled 201 to 146 computations (27.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (3.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 151 | 298 |
| 1 | 151 | 298 |
| 1× | intervals |
| 283.0ms | 1159× | body | 2048 | valid |
| 263.0ms | 5195× | body | 128 | valid |
| 128.0ms | 680× | body | 1024 | valid |
| 126.0ms | 419× | body | 4096 | valid |
| 50.0ms | 362× | body | 512 | valid |
| 32.0ms | 680× | body | 128 | nan |
| 19.0ms | 396× | body | 128 | invalid |
| 17.0ms | 185× | body | 256 | valid |
Compiled 1328 to 1004 computations (24.4% saved)
0.5490694829455598
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