Time bar (total: 3.7s)
| 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 |
| 0% | 99.9% | 0.1% | 5 |
| 12.5% | 87.4% | 0.1% | 6 |
| 32.8% | 67.1% | 0.1% | 7 |
| 46% | 53.9% | 0.1% | 8 |
| 61.7% | 38.2% | 0.1% | 9 |
| 70% | 29.9% | 0.1% | 10 |
| 79.4% | 20.5% | 0.1% | 11 |
| 84.2% | 15.7% | 0.1% | 12 |
| 89.3% | 10.6% | 0.1% | 13 |
| 91.9% | 8% | 0.1% | 14 |
Compiled 20 to 10 computations (50% saved)
| 797.0ms | 8256× | body | 128 | valid |
Compiled 40 to 20 computations (50% saved)
| 2× | egg-herbie |
| 378× | distribute-rgt-in_binary64 |
| 350× | fma-def_binary64 |
| 346× | distribute-lft-in_binary64 |
| 301× | associate-/l/_binary64 |
| 297× | times-frac_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 50 |
| 1 | 84 | 50 |
| 2 | 248 | 46 |
| 3 | 749 | 46 |
| 4 | 2975 | 46 |
| 5 | 4592 | 46 |
| 0 | 2 | 2 |
| 1 | 2 | 2 |
| 1× | unsound |
| 1× | node limit |
(sort x y)
Compiled 19 to 9 computations (52.6% saved)
| 1× | egg-herbie |
| 356× | fma-def_binary64 |
| 321× | distribute-rgt-out_binary64 |
| 315× | distribute-rgt-in_binary64 |
| 293× | associate-/l/_binary64 |
| 285× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 39 | 25 |
| 2 | 173 | 23 |
| 3 | 623 | 23 |
| 4 | 2588 | 23 |
| 5 | 3993 | 23 |
| 6 | 4885 | 23 |
| 7 | 4964 | 23 |
| 1× | node limit |
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 |
| ▶ | 9.6b | (/.f64 x (/.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) y)) |
| 19.0b | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))) |
Compiled 109 to 48 computations (56% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) |
| ✓ | 0.0b | (pow.f64 (+.f64 x y) 3) |
| ✓ | 4.9b | (/.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) y) |
| ✓ | 6.7b | (/.f64 x (/.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) y)) |
24 calls:
| 14.0ms | (/.f64 x (/.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) y)) | x | 0 |
| 13.0ms | (/.f64 x (/.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) y)) | y | 0 |
| 8.0ms | (/.f64 x (/.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) y)) | y | -inf |
| 6.0ms | (/.f64 x (/.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) y)) | x | inf |
| 5.0ms | (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) | y | inf |
| 1× | batch-egg-rewrite |
| 604× | prod-diff_binary64 |
| 209× | fma-def_binary64 |
| 184× | expm1-udef_binary64 |
| 184× | log1p-udef_binary64 |
| 136× | egg-rr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 67 |
| 1 | 207 | 64 |
| 2 | 2984 | 64 |
| 1× | node limit |
| 1× | egg-herbie |
| 386× | associate-+r+_binary64 |
| 358× | fma-def_binary64 |
| 269× | associate-+l+_binary64 |
| 257× | +-commutative_binary64 |
| 245× | times-frac_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 287 | 4127 |
| 1 | 933 | 3822 |
| 2 | 4305 | 3795 |
| 1× | node limit |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 221 | 7 | 228 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 221 | 9 | 230 |
| Status | Error | Program |
| ✓ | 9.6b | (/.f64 x (/.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) y)) |
| 20.9b | (*.f64 (/.f64 x 1) (/.f64 y (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)))) | |
| 19.0b | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))) | |
| 28.7b | (*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)) y))) | |
| 42.3b | (/.f64 y (pow.f64 x 2)) | |
| 42.0b | (*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2)) (sqrt.f64 y))) (/.f64 (cbrt.f64 x) (/.f64 (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2)) (sqrt.f64 y)))) | |
| 33.4b | (*.f64 (/.f64 1 (/.f64 (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2)) (sqrt.f64 y))) (/.f64 x (/.f64 (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2)) (sqrt.f64 y)))) | |
| ▶ | 18.2b | (/.f64 x (+.f64 (+.f64 (/.f64 x (/.f64 y x)) (fma.f64 y y (fma.f64 x 2 (*.f64 (*.f64 3 x) x)))) (fma.f64 (*.f64 y x) 3 y))) |
| 32.9b | (/.f64 x (+.f64 (fma.f64 (*.f64 y x) 3 (fma.f64 y y y)) (*.f64 x 2))) |
Compiled 7234 to 3983 computations (44.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (*.f64 (*.f64 3 x) x) |
| ✓ | 3.0b | (+.f64 (+.f64 (/.f64 x (/.f64 y x)) (fma.f64 y y (fma.f64 x 2 (*.f64 (*.f64 3 x) x)))) (fma.f64 (*.f64 y x) 3 y)) |
| ✓ | 5.5b | (+.f64 (/.f64 x (/.f64 y x)) (fma.f64 y y (fma.f64 x 2 (*.f64 (*.f64 3 x) x)))) |
| ✓ | 12.0b | (/.f64 x (+.f64 (+.f64 (/.f64 x (/.f64 y x)) (fma.f64 y y (fma.f64 x 2 (*.f64 (*.f64 3 x) x)))) (fma.f64 (*.f64 y x) 3 y))) |
21 calls:
| 13.0ms | (/.f64 x (+.f64 (+.f64 (/.f64 x (/.f64 y x)) (fma.f64 y y (fma.f64 x 2 (*.f64 (*.f64 3 x) x)))) (fma.f64 (*.f64 y x) 3 y))) | x | 0 |
| 12.0ms | (/.f64 x (+.f64 (+.f64 (/.f64 x (/.f64 y x)) (fma.f64 y y (fma.f64 x 2 (*.f64 (*.f64 3 x) x)))) (fma.f64 (*.f64 y x) 3 y))) | x | -inf |
| 9.0ms | (/.f64 x (+.f64 (+.f64 (/.f64 x (/.f64 y x)) (fma.f64 y y (fma.f64 x 2 (*.f64 (*.f64 3 x) x)))) (fma.f64 (*.f64 y x) 3 y))) | x | inf |
| 4.0ms | (/.f64 x (+.f64 (+.f64 (/.f64 x (/.f64 y x)) (fma.f64 y y (fma.f64 x 2 (*.f64 (*.f64 3 x) x)))) (fma.f64 (*.f64 y x) 3 y))) | y | 0 |
| 4.0ms | (+.f64 (/.f64 x (/.f64 y x)) (fma.f64 y y (fma.f64 x 2 (*.f64 (*.f64 3 x) x)))) | y | inf |
| 1× | batch-egg-rewrite |
| 182× | add-sqr-sqrt_binary64 |
| 174× | log1p-expm1-u_binary64 |
| 174× | expm1-log1p-u_binary64 |
| 172× | add-cbrt-cube_binary64 |
| 169× | add-log-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 102 |
| 1 | 362 | 93 |
| 1× | node limit |
| 1× | egg-herbie |
| 263× | distribute-rgt-in_binary64 |
| 243× | associate-+r+_binary64 |
| 232× | cancel-sign-sub-inv_binary64 |
| 217× | associate-/r*_binary64 |
| 212× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 232 | 3725 |
| 1 | 762 | 3328 |
| 2 | 3349 | 3200 |
| 1× | node limit |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 185 | 2 | 187 |
| Fresh | 1 | 6 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 187 | 9 | 196 |
| Status | Error | Program |
| 19.0b | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))) | |
| 28.7b | (*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)) y))) | |
| 32.9b | (/.f64 x (+.f64 (fma.f64 (*.f64 y x) 3 (fma.f64 y y y)) (*.f64 x 2))) | |
| ▶ | 15.0b | (/.f64 x (fma.f64 x (/.f64 x y) (+.f64 (fma.f64 y y (*.f64 x (+.f64 2 (*.f64 x 3)))) (fma.f64 (*.f64 x y) 3 y)))) |
| 42.3b | (/.f64 y (pow.f64 x 2)) | |
| 46.6b | (/.f64 (/.f64 1 (+.f64 3 (/.f64 1 y))) x) | |
| ✓ | 9.6b | (/.f64 x (/.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) y)) |
| 42.0b | (*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2)) (sqrt.f64 y))) (/.f64 (cbrt.f64 x) (/.f64 (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2)) (sqrt.f64 y)))) | |
| 33.4b | (*.f64 (/.f64 1 (/.f64 (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2)) (sqrt.f64 y))) (/.f64 x (/.f64 (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2)) (sqrt.f64 y)))) |
Compiled 7893 to 4448 computations (43.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (fma.f64 (*.f64 x y) 3 y) |
| ✓ | 3.0b | (+.f64 (fma.f64 y y (*.f64 x (+.f64 2 (*.f64 x 3)))) (fma.f64 (*.f64 x y) 3 y)) |
| ✓ | 4.3b | (fma.f64 x (/.f64 x y) (+.f64 (fma.f64 y y (*.f64 x (+.f64 2 (*.f64 x 3)))) (fma.f64 (*.f64 x y) 3 y))) |
| ✓ | 12.0b | (/.f64 x (fma.f64 x (/.f64 x y) (+.f64 (fma.f64 y y (*.f64 x (+.f64 2 (*.f64 x 3)))) (fma.f64 (*.f64 x y) 3 y)))) |
24 calls:
| 10.0ms | (/.f64 x (fma.f64 x (/.f64 x y) (+.f64 (fma.f64 y y (*.f64 x (+.f64 2 (*.f64 x 3)))) (fma.f64 (*.f64 x y) 3 y)))) | x | -inf |
| 9.0ms | (/.f64 x (fma.f64 x (/.f64 x y) (+.f64 (fma.f64 y y (*.f64 x (+.f64 2 (*.f64 x 3)))) (fma.f64 (*.f64 x y) 3 y)))) | x | 0 |
| 9.0ms | (/.f64 x (fma.f64 x (/.f64 x y) (+.f64 (fma.f64 y y (*.f64 x (+.f64 2 (*.f64 x 3)))) (fma.f64 (*.f64 x y) 3 y)))) | x | inf |
| 6.0ms | (/.f64 x (fma.f64 x (/.f64 x y) (+.f64 (fma.f64 y y (*.f64 x (+.f64 2 (*.f64 x 3)))) (fma.f64 (*.f64 x y) 3 y)))) | y | inf |
| 4.0ms | (/.f64 x (fma.f64 x (/.f64 x y) (+.f64 (fma.f64 y y (*.f64 x (+.f64 2 (*.f64 x 3)))) (fma.f64 (*.f64 x y) 3 y)))) | y | 0 |
| 1× | batch-egg-rewrite |
| 309× | log1p-udef_binary64 |
| 172× | add-sqr-sqrt_binary64 |
| 164× | log1p-expm1-u_binary64 |
| 164× | expm1-log1p-u_binary64 |
| 162× | add-cbrt-cube_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 97 |
| 1 | 339 | 91 |
| 2 | 4775 | 91 |
| 1× | node limit |
| 1× | egg-herbie |
| 273× | distribute-rgt-in_binary64 |
| 252× | associate-+r+_binary64 |
| 232× | cancel-sign-sub-inv_binary64 |
| 229× | fma-def_binary64 |
| 210× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 239 | 3836 |
| 1 | 781 | 3433 |
| 2 | 3380 | 3276 |
| 1× | node limit |
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 183 | 0 | 183 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 183 | 9 | 192 |
| Status | Error | Program |
| ▶ | 19.0b | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))) |
| 28.7b | (*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)) y))) | |
| 32.9b | (/.f64 x (+.f64 (fma.f64 (*.f64 y x) 3 (fma.f64 y y y)) (*.f64 x 2))) | |
| ✓ | 15.0b | (/.f64 x (fma.f64 x (/.f64 x y) (+.f64 (fma.f64 y y (*.f64 x (+.f64 2 (*.f64 x 3)))) (fma.f64 (*.f64 x y) 3 y)))) |
| 42.3b | (/.f64 y (pow.f64 x 2)) | |
| 46.6b | (/.f64 (/.f64 1 (+.f64 3 (/.f64 1 y))) x) | |
| ✓ | 9.6b | (/.f64 x (/.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) y)) |
| 42.0b | (*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2)) (sqrt.f64 y))) (/.f64 (cbrt.f64 x) (/.f64 (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2)) (sqrt.f64 y)))) | |
| 33.4b | (*.f64 (/.f64 1 (/.f64 (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2)) (sqrt.f64 y))) (/.f64 x (/.f64 (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2)) (sqrt.f64 y)))) |
Compiled 6969 to 3971 computations (43% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (*.f64 (+.f64 x y) (+.f64 x y)) |
| ✓ | 0.1b | (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)) |
| ✓ | 18.8b | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))) |
18 calls:
| 8.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))) | x | 0 |
| 8.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))) | y | 0 |
| 5.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))) | x | -inf |
| 4.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))) | y | -inf |
| 3.0ms | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))) | x | inf |
| 1× | batch-egg-rewrite |
| 647× | fma-def_binary64 |
| 312× | fma-neg_binary64 |
| 204× | log1p-udef_binary64 |
| 202× | expm1-udef_binary64 |
| 179× | egg-rr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 45 |
| 1 | 238 | 45 |
| 2 | 3986 | 45 |
| 1× | node limit |
| 1× | egg-herbie |
| 295× | fma-def_binary64 |
| 291× | associate-+r+_binary64 |
| 239× | cancel-sign-sub-inv_binary64 |
| 229× | associate-/r*_binary64 |
| 228× | times-frac_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 258 | 2982 |
| 1 | 843 | 2847 |
| 2 | 3794 | 2817 |
| 1× | node limit |
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 243 | 2 | 245 |
| Fresh | 2 | 4 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 245 | 9 | 254 |
| Status | Error | Program |
| ✓ | 9.6b | (/.f64 x (/.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) y)) |
| 24.3b | (*.f64 (/.f64 x (*.f64 (+.f64 x y) (sqrt.f64 (+.f64 x (+.f64 y 1))))) (/.f64 y (*.f64 (+.f64 x y) (sqrt.f64 (+.f64 x (+.f64 y 1)))))) | |
| 32.9b | (/.f64 x (+.f64 (fma.f64 (*.f64 y x) 3 (fma.f64 y y y)) (*.f64 x 2))) | |
| ✓ | 15.0b | (/.f64 x (fma.f64 x (/.f64 x y) (+.f64 (fma.f64 y y (*.f64 x (+.f64 2 (*.f64 x 3)))) (fma.f64 (*.f64 x y) 3 y)))) |
| 4.9b | (*.f64 (/.f64 x (+.f64 x y)) (/.f64 y (*.f64 (+.f64 x y) (+.f64 x (+.f64 y 1))))) | |
| 46.6b | (/.f64 (/.f64 1 (+.f64 3 (/.f64 1 y))) x) | |
| 42.0b | (*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2)) (sqrt.f64 y))) (/.f64 (cbrt.f64 x) (/.f64 (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2)) (sqrt.f64 y)))) | |
| 33.4b | (*.f64 (/.f64 1 (/.f64 (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2)) (sqrt.f64 y))) (/.f64 x (/.f64 (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2)) (sqrt.f64 y)))) | |
| ✓ | 19.0b | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))) |
Compiled 7145 to 3633 computations (49.2% saved)
Total 1.1b remaining (26.9%)
Threshold costs 0b (0%)
Compiled 12809 to 7709 computations (39.8% saved)
| 1× | egg-herbie |
| 3× | +-commutative_binary64 |
| 2× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 25 |
| 1 | 18 | 25 |
| 1× | saturated |
| 1× | fuel |
Compiled 279 to 151 computations (45.9% saved)
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