Time bar (total: 5.7s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 50% | 50% | 0% | 4 |
| 75% | 25% | 0% | 5 |
| 87.5% | 12.5% | 0% | 6 |
| 93.7% | 6.2% | 0% | 7 |
| 96.8% | 3.1% | 0% | 8 |
| 98.4% | 1.6% | 0% | 9 |
| 99.2% | 0.8% | 0% | 10 |
| 99.6% | 0.4% | 0% | 11 |
| 99.8% | 0.2% | 0% | 12 |
| 99.9% | 0.1% | 0% | 13 |
| 99.9% | 0.1% | 0.1% | 14 |
Compiled 17 to 14 computations (17.6% saved)
| 1× | intervals |
| 7.0ms | 56× | body | 512 | valid |
| 6.0ms | 136× | body | 128 | valid |
| 6.0ms | 34× | body | 1024 | valid |
| 3.0ms | 30× | body | 256 | valid |
Compiled 34 to 28 computations (17.6% saved)
| 1× | egg-herbie |
| 44× | sub-neg_binary64 |
| 41× | cancel-sign-sub-inv_binary64 |
| 28× | distribute-rgt-in_binary64 |
| 28× | unsub-neg_binary64 |
| 25× | associate--r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 22 |
| 1 | 22 | 22 |
| 2 | 38 | 22 |
| 3 | 59 | 22 |
| 4 | 101 | 22 |
| 5 | 165 | 22 |
| 6 | 198 | 22 |
| 7 | 217 | 22 |
| 8 | 216 | 22 |
| 9 | 192 | 22 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 0 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 1 | 2 |
| Status | Error | Program |
| ▶ | 9.6b | (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) |
Compiled 48 to 39 computations (18.8% saved)
Found 3 expressions with local error:
| 0.0b | (/.f64 1 (+.f64 x 1)) |
| 0.0b | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) |
| 1.9b | (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) |
| 1× | rewrite-expression-head |
| 87× | *-un-lft-identity_binary64 |
| 53× | times-frac_binary64 |
| 43× | add-sqr-sqrt_binary64 |
| 26× | cancel-sign-sub-inv_binary64 |
| 26× | add-cube-cbrt_binary64 |
3 calls:
| 29.0ms | (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) |
| 13.0ms | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) |
| 4.0ms | (/.f64 1 (+.f64 x 1)) |
Compiled 2387 to 1928 computations (19.2% saved)
3 calls:
| 9.0ms | (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) |
| 7.0ms | (/.f64 1 (+.f64 x 1)) |
| 7.0ms | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) |
Compiled 675 to 544 computations (19.4% saved)
| 1× | egg-herbie |
| 428× | associate-*l*_binary64 |
| 327× | distribute-rgt-in_binary64 |
| 278× | associate-/l*_binary64 |
| 278× | distribute-lft-in_binary64 |
| 238× | associate-*l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 203 | 2231 |
| 1 | 525 | 2147 |
| 2 | 1498 | 2112 |
| 3 | 4196 | 2108 |
| 4 | 5004 | 2108 |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 97 | 10 | 107 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 98 | 10 | 108 |
| Status | Error | Program |
| 42.1b | (+.f64 (*.f64 (+.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 1 (+.f64 x 1)))) (-.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1))) (sqrt.f64 (/.f64 2 x)))) (/.f64 1 (-.f64 x 1))) | |
| 28.2b | (/.f64 (+.f64 (*.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (*.f64 x 2)))) (+.f64 x (*.f64 x x))) (-.f64 (pow.f64 x 3) x)) | |
| 44.1b | (+.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))) (sqrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))) (/.f64 1 (-.f64 x 1))) | |
| 27.3b | (+.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))) (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))) (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))) (/.f64 1 (-.f64 x 1))) | |
| 52.0b | (+.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) 3)) (/.f64 1 (-.f64 x 1))) | |
| 50.5b | (+.f64 (exp.f64 (log.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))) (/.f64 1 (-.f64 x 1))) | |
| 27.7b | (+.f64 (-.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 x x) -1)) (-.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) | |
| ▶ | 25.9b | (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))) (/.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x -1))) (-.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))) |
| 27.5b | (/.f64 (*.f64 (+.f64 (/.f64 2 x) (/.f64 1 (+.f64 x 1))) (+.f64 (*.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (+.f64 x -1)) 1)) (*.f64 (+.f64 x -1) (+.f64 (/.f64 2 x) (/.f64 1 (+.f64 x 1))))) | |
| 44.9b | (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (+.f64 x 1)) (/.f64 4 (*.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 1 (+.f64 x 1)))) (/.f64 1 (-.f64 x 1))) |
Compiled 1776 to 1401 computations (21.1% saved)
Found 4 expressions with local error:
| 0.1b | (/.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x -1)) |
| 0.3b | (*.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))) |
| 6.2b | (-.f64 (*.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))) (/.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x -1))) |
| 17.8b | (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))) (/.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x -1))) (-.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))) |
| 1× | rewrite-expression-head |
| 789× | *-un-lft-identity_binary64 |
| 743× | times-frac_binary64 |
| 462× | add-sqr-sqrt_binary64 |
| 218× | distribute-lft-out_binary64 |
| 177× | add-cube-cbrt_binary64 |
4 calls:
| 81.0ms | (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))) (/.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x -1))) (-.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))) |
| 53.0ms | (-.f64 (*.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))) (/.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x -1))) |
| 27.0ms | (*.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))) |
| 11.0ms | (/.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x -1)) |
Compiled 25091 to 20231 computations (19.4% saved)
4 calls:
| 14.0ms | (-.f64 (*.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))) (/.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x -1))) |
| 12.0ms | (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))) (/.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x -1))) (-.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))) |
| 11.0ms | (/.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x -1)) |
| 11.0ms | (*.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))) |
Compiled 2009 to 1653 computations (17.7% saved)
| 1× | egg-herbie |
| 556× | distribute-rgt-in_binary64 |
| 533× | distribute-lft-in_binary64 |
| 146× | sub-neg_binary64 |
| 130× | *-commutative_binary64 |
| 119× | neg-mul-1_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 549 | 28563 |
| 1 | 1809 | 26957 |
| 2 | 4890 | 26921 |
| 3 | 4954 | 26921 |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 484 | 1 | 485 |
| Fresh | 7 | 2 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 492 | 3 | 495 |
| Status | Error | Program |
| 33.1b | (/.f64 (+.f64 (/.f64 -4 (pow.f64 x 4)) (/.f64 -4 (pow.f64 x 5))) (-.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))) | |
| ▶ | 27.5b | (/.f64 (*.f64 (+.f64 (/.f64 2 x) (/.f64 1 (+.f64 x 1))) (+.f64 (*.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (+.f64 x -1)) 1)) (*.f64 (+.f64 x -1) (+.f64 (/.f64 2 x) (/.f64 1 (+.f64 x 1))))) |
| 28.2b | (/.f64 (+.f64 (*.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (*.f64 x 2)))) (+.f64 x (*.f64 x x))) (-.f64 (pow.f64 x 3) x)) |
Compiled 11518 to 9083 computations (21.1% saved)
Found 4 expressions with local error:
| 0.2b | (+.f64 (/.f64 2 x) (/.f64 1 (+.f64 x 1))) |
| 0.2b | (+.f64 (/.f64 2 x) (/.f64 1 (+.f64 x 1))) |
| 7.5b | (+.f64 (*.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (+.f64 x -1)) 1) |
| 14.4b | (/.f64 (*.f64 (+.f64 (/.f64 2 x) (/.f64 1 (+.f64 x 1))) (+.f64 (*.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (+.f64 x -1)) 1)) (*.f64 (+.f64 x -1) (+.f64 (/.f64 2 x) (/.f64 1 (+.f64 x 1))))) |
| 1× | rewrite-expression-head |
| 28× | *-un-lft-identity_binary64 |
| 17× | flip-+_binary64 |
| 17× | flip3-+_binary64 |
| 16× | add-cbrt-cube_binary64 |
| 16× | add-exp-log_binary64 |
4 calls:
| 54.0ms | (/.f64 (*.f64 (+.f64 (/.f64 2 x) (/.f64 1 (+.f64 x 1))) (+.f64 (*.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (+.f64 x -1)) 1)) (*.f64 (+.f64 x -1) (+.f64 (/.f64 2 x) (/.f64 1 (+.f64 x 1))))) |
| 25.0ms | (+.f64 (*.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (+.f64 x -1)) 1) |
| 16.0ms | (+.f64 (/.f64 2 x) (/.f64 1 (+.f64 x 1))) |
| 14.0ms | (+.f64 (/.f64 2 x) (/.f64 1 (+.f64 x 1))) |
Compiled 5014 to 4017 computations (19.9% saved)
4 calls:
| 14.0ms | (+.f64 (*.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (+.f64 x -1)) 1) |
| 9.0ms | (/.f64 (*.f64 (+.f64 (/.f64 2 x) (/.f64 1 (+.f64 x 1))) (+.f64 (*.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (+.f64 x -1)) 1)) (*.f64 (+.f64 x -1) (+.f64 (/.f64 2 x) (/.f64 1 (+.f64 x 1))))) |
| 8.0ms | (+.f64 (/.f64 2 x) (/.f64 1 (+.f64 x 1))) |
| 8.0ms | (+.f64 (/.f64 2 x) (/.f64 1 (+.f64 x 1))) |
Compiled 1718 to 1384 computations (19.4% saved)
| 1× | egg-herbie |
| 327× | distribute-rgt-in_binary64 |
| 310× | distribute-lft-in_binary64 |
| 265× | associate-/l/_binary64 |
| 243× | associate-*l*_binary64 |
| 237× | times-frac_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 181 | 4666 |
| 1 | 691 | 3893 |
| 2 | 3272 | 3121 |
| 3 | 4774 | 3121 |
| 4 | 4957 | 3121 |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 76 | 1 | 77 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 76 | 4 | 80 |
| Status | Error | Program |
| ▶ | 28.2b | (/.f64 (+.f64 (*.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (*.f64 x 2)))) (+.f64 x (*.f64 x x))) (-.f64 (pow.f64 x 3) x)) |
| 31.1b | (/.f64 (*.f64 (+.f64 (/.f64 2 x) (/.f64 1 (+.f64 x 1))) (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))) (*.f64 (+.f64 x -1) (+.f64 (/.f64 2 x) (/.f64 1 (+.f64 x 1))))) | |
| 33.1b | (/.f64 (+.f64 (/.f64 -4 (pow.f64 x 4)) (/.f64 -4 (pow.f64 x 5))) (-.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))) | |
| ✓ | 27.5b | (/.f64 (*.f64 (+.f64 (/.f64 2 x) (/.f64 1 (+.f64 x 1))) (+.f64 (*.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (+.f64 x -1)) 1)) (*.f64 (+.f64 x -1) (+.f64 (/.f64 2 x) (/.f64 1 (+.f64 x 1))))) |
Compiled 3404 to 2671 computations (21.5% saved)
Found 4 expressions with local error:
| 0.0b | (-.f64 x (+.f64 2 (*.f64 x 2))) |
| 0.0b | (*.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (*.f64 x 2)))) |
| 0.0b | (/.f64 (+.f64 (*.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (*.f64 x 2)))) (+.f64 x (*.f64 x x))) (-.f64 (pow.f64 x 3) x)) |
| 20.0b | (+.f64 (*.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (*.f64 x 2)))) (+.f64 x (*.f64 x x))) |
| 1× | rewrite-expression-head |
| 60× | add-sqr-sqrt_binary64 |
| 48× | *-un-lft-identity_binary64 |
| 33× | flip-+_binary64 |
| 33× | flip3-+_binary64 |
| 32× | frac-add_binary64 |
4 calls:
| 17.0ms | (/.f64 (+.f64 (*.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (*.f64 x 2)))) (+.f64 x (*.f64 x x))) (-.f64 (pow.f64 x 3) x)) |
| 15.0ms | (*.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (*.f64 x 2)))) |
| 12.0ms | (+.f64 (*.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (*.f64 x 2)))) (+.f64 x (*.f64 x x))) |
| 4.0ms | (-.f64 x (+.f64 2 (*.f64 x 2))) |
Compiled 8004 to 4586 computations (42.7% saved)
4 calls:
| 14.0ms | (*.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (*.f64 x 2)))) |
| 7.0ms | (/.f64 (+.f64 (*.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (*.f64 x 2)))) (+.f64 x (*.f64 x x))) (-.f64 (pow.f64 x 3) x)) |
| 7.0ms | (-.f64 x (+.f64 2 (*.f64 x 2))) |
| 4.0ms | (+.f64 (*.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (*.f64 x 2)))) (+.f64 x (*.f64 x x))) |
Compiled 757 to 510 computations (32.6% saved)
| 1× | egg-herbie |
| 555× | distribute-rgt-in_binary64 |
| 522× | distribute-lft-in_binary64 |
| 455× | associate-*l*_binary64 |
| 424× | associate-*r*_binary64 |
| 112× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 349 | 7971 |
| 1 | 1075 | 7417 |
| 2 | 4748 | 7389 |
| 3 | 4986 | 7389 |
| 4 | 4952 | 7389 |
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 178 | 0 | 178 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 178 | 4 | 182 |
| Status | Error | Program |
| 28.2b | (/.f64 (+.f64 (*.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (*.f64 x 2)))) (+.f64 x (*.f64 x x))) (-.f64 (pow.f64 x 3) x)) | |
| 31.1b | (/.f64 (*.f64 (+.f64 (/.f64 2 x) (/.f64 1 (+.f64 x 1))) (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))) (*.f64 (+.f64 x -1) (+.f64 (/.f64 2 x) (/.f64 1 (+.f64 x 1))))) | |
| 33.1b | (/.f64 (+.f64 (/.f64 -4 (pow.f64 x 4)) (/.f64 -4 (pow.f64 x 5))) (-.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))) | |
| 27.5b | (/.f64 (*.f64 (+.f64 (/.f64 2 x) (/.f64 1 (+.f64 x 1))) (+.f64 (*.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (+.f64 x -1)) 1)) (*.f64 (+.f64 x -1) (+.f64 (/.f64 2 x) (/.f64 1 (+.f64 x 1))))) |
Compiled 6160 to 3629 computations (41.1% saved)
Total 0.2b remaining (70%)
Threshold costs 0.2b (70%)
Compiled 32625 to 26113 computations (20% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | *-commutative_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 9 | 10 |
| 2 | 14 | 10 |
| 3 | 16 | 10 |
| 4 | 17 | 10 |
| 5 | 17 | 10 |
Compiled 8 to 6 computations (25% saved)
| 1× | intervals |
| 270.0ms | 4485× | body | 128 | valid |
| 226.0ms | 1309× | body | 1024 | valid |
| 209.0ms | 1506× | body | 512 | valid |
| 61.0ms | 700× | body | 256 | valid |
Compiled 154 to 120 computations (22.1% saved)
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