Time bar (total: 10.7s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.5% | 0.5% | 0 |
| 0% | 99.5% | 0.5% | 1 |
| 0% | 99.5% | 0.5% | 2 |
| 0% | 99.5% | 0.5% | 3 |
| 0% | 99.5% | 0.5% | 4 |
| 0% | 99.5% | 0.5% | 5 |
| 0% | 99.5% | 0.5% | 6 |
| 0% | 99.5% | 0.5% | 7 |
| 0% | 99.5% | 0.5% | 8 |
| 0% | 99.5% | 0.5% | 9 |
| 0% | 99.5% | 0.5% | 10 |
| 0% | 99.5% | 0.5% | 11 |
| 0% | 99.5% | 0.5% | 12 |
| 0% | 99.5% | 0.5% | 13 |
| 0% | 99.5% | 0.5% | 14 |
Compiled 42 to 30 computations (28.6% saved)
(sort y z)
(sort b c)
(sort j k)
| 1.9s | 8636× | body | 128 | invalid |
| 1.7s | 8256× | body | 128 | valid |
Compiled 125 to 89 computations (28.8% saved)
| 1× | egg-herbie |
| 6437× | fma-neg_binary64 |
| 684× | unsub-neg_binary64 |
| 621× | distribute-rgt-neg-in_binary64 |
| 515× | distribute-rgt-in_binary64 |
| 434× | sub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 43 |
| 1 | 77 | 37 |
| 2 | 255 | 35 |
| 3 | 773 | 35 |
| 4 | 1711 | 35 |
| 5 | 2777 | 35 |
| 6 | 3474 | 35 |
| 7 | 3470 | 35 |
| 8 | 3493 | 35 |
| 9 | 3516 | 35 |
| 10 | 3534 | 35 |
| 11 | 3534 | 35 |
| 12 | 3526 | 35 |
| 13 | 3549 | 35 |
| 14 | 3549 | 35 |
| 15 | 3549 | 35 |
| 16 | 3639 | 35 |
| 17 | 4131 | 35 |
| 18 | 3675 | 35 |
| 19 | 3675 | 35 |
| 20 | 3675 | 35 |
| 21 | 9384 | 35 |
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 |
| 5.7b | (-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k)) | |
| ▶ | 4.2b | (fma.f64 x (fma.f64 18 (*.f64 y (*.f64 z t)) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c)))) |
Compiled 218 to 148 computations (32.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (fma.f64 18 (*.f64 y (*.f64 z t)) (*.f64 i -4)) |
| ✓ | 0.1b | (fma.f64 -27 (*.f64 j k) (*.f64 b c)) |
| ✓ | 2.4b | (fma.f64 x (fma.f64 18 (*.f64 y (*.f64 z t)) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c)))) |
| ✓ | 3.5b | (*.f64 y (*.f64 z t)) |
4 calls:
| 178.0ms | (fma.f64 x (fma.f64 18 (*.f64 y (*.f64 z t)) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c)))) |
| 16.0ms | (fma.f64 18 (*.f64 y (*.f64 z t)) (*.f64 i -4)) |
| 12.0ms | (fma.f64 -27 (*.f64 j k) (*.f64 b c)) |
| 8.0ms | (*.f64 y (*.f64 z t)) |
| 1× | rewrite-expression-head |
| 9× | add-cbrt-cube_binary64 |
| 9× | add-exp-log_binary64 |
| 9× | pow1_binary64 |
| 5× | *-un-lft-identity_binary64 |
| 5× | add-sqr-sqrt_binary64 |
4 calls:
| 4.0ms | (*.f64 y (*.f64 z t)) |
| 0.0ms | (fma.f64 x (fma.f64 18 (*.f64 y (*.f64 z t)) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c)))) |
| 0.0ms | (fma.f64 18 (*.f64 y (*.f64 z t)) (*.f64 i -4)) |
| 0.0ms | (fma.f64 -27 (*.f64 j k) (*.f64 b c)) |
| 1× | egg-herbie |
| 856× | fma-neg_binary64 |
| 688× | associate-*l*_binary64 |
| 535× | associate-*r*_binary64 |
| 523× | cancel-sign-sub-inv_binary64 |
| 490× | exp-prod_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 135 | 6517 |
| 1 | 311 | 5980 |
| 2 | 924 | 5783 |
| 3 | 2865 | 5781 |
| 4 | 4860 | 5781 |
| 5 | 5149 | 5781 |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 116 | 5 | 121 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 116 | 7 | 123 |
| Status | Error | Program |
| ✓ | 4.2b | (fma.f64 x (fma.f64 18 (*.f64 y (*.f64 z t)) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c)))) |
| 4.1b | (fma.f64 c b (fma.f64 t (fma.f64 y (*.f64 18 (*.f64 z x)) (*.f64 a -4)) (fma.f64 (*.f64 k j) -27 (*.f64 (*.f64 x i) -4)))) | |
| 35.1b | (*.f64 (sqrt.f64 (fma.f64 x (fma.f64 18 (*.f64 y (*.f64 z t)) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c))))) (sqrt.f64 (fma.f64 x (fma.f64 18 (*.f64 y (*.f64 z t)) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c)))))) | |
| 43.7b | (*.f64 (-.f64 (*.f64 18 (*.f64 y (*.f64 z x))) (*.f64 4 a)) t) | |
| 5.7b | (-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k)) | |
| 13.6b | (fma.f64 x (fma.f64 18 (cbrt.f64 (pow.f64 (*.f64 y (*.f64 t z)) 3)) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c)))) | |
| ▶ | 2.4b | (-.f64 (+.f64 (*.f64 c b) (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x))))) (+.f64 (*.f64 4 (*.f64 i x)) (+.f64 (*.f64 4 (*.f64 a t)) (*.f64 27 (*.f64 k j))))) |
Compiled 3856 to 1837 computations (52.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x)))) |
| ✓ | 0.3b | (*.f64 27 (*.f64 k j)) |
| ✓ | 3.0b | (*.f64 y (*.f64 t (*.f64 z x))) |
| ✓ | 4.1b | (*.f64 t (*.f64 z x)) |
4 calls:
| 21.0ms | (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x)))) |
| 16.0ms | (*.f64 y (*.f64 t (*.f64 z x))) |
| 10.0ms | (*.f64 t (*.f64 z x)) |
| 4.0ms | (*.f64 27 (*.f64 k j)) |
| 1× | rewrite-expression-head |
| 37× | add-cbrt-cube_binary64 |
| 37× | add-exp-log_binary64 |
| 37× | pow1_binary64 |
| 22× | cbrt-unprod_binary64 |
| 22× | prod-exp_binary64 |
4 calls:
| 6.0ms | (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x)))) |
| 5.0ms | (*.f64 y (*.f64 t (*.f64 z x))) |
| 5.0ms | (*.f64 27 (*.f64 k j)) |
| 4.0ms | (*.f64 t (*.f64 z x)) |
| 1× | egg-herbie |
| 620× | unswap-sqr_binary64 |
| 594× | *-commutative_binary64 |
| 389× | associate-/l/_binary64 |
| 385× | sqr-pow_binary64 |
| 333× | associate-/r/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 131 | 1275 |
| 1 | 288 | 990 |
| 2 | 1009 | 990 |
| 3 | 1695 | 990 |
| 4 | 2239 | 990 |
| 5 | 3346 | 990 |
| 6 | 5183 | 990 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 101 | 3 | 104 |
| Fresh | 0 | 5 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 102 | 9 | 111 |
| Status | Error | Program |
| ✓ | 4.2b | (fma.f64 x (fma.f64 18 (*.f64 y (*.f64 z t)) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c)))) |
| 4.1b | (fma.f64 c b (fma.f64 t (fma.f64 y (*.f64 18 (*.f64 z x)) (*.f64 a -4)) (fma.f64 (*.f64 k j) -27 (*.f64 (*.f64 x i) -4)))) | |
| ▶ | 2.4b | (-.f64 (+.f64 (*.f64 c b) (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x))))) (+.f64 (*.f64 4 (*.f64 i x)) (+.f64 (*.f64 4 (*.f64 a t)) (*.f64 (*.f64 27 k) j)))) |
| 2.5b | (-.f64 (+.f64 (*.f64 c b) (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x))))) (+.f64 (*.f64 4 (*.f64 i x)) (+.f64 (*.f64 4 (*.f64 a t)) (*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 k j)))))) | |
| 35.1b | (*.f64 (sqrt.f64 (fma.f64 x (fma.f64 18 (*.f64 y (*.f64 z t)) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c))))) (sqrt.f64 (fma.f64 x (fma.f64 18 (*.f64 y (*.f64 z t)) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c)))))) | |
| 43.7b | (*.f64 (-.f64 (*.f64 18 (*.f64 y (*.f64 z x))) (*.f64 4 a)) t) | |
| 5.4b | (-.f64 (+.f64 (*.f64 c b) (*.f64 18 (*.f64 (*.f64 y t) (*.f64 z x)))) (+.f64 (*.f64 4 (*.f64 i x)) (+.f64 (*.f64 4 (*.f64 a t)) (*.f64 27 (*.f64 k j))))) | |
| 5.7b | (-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k)) | |
| 13.6b | (fma.f64 x (fma.f64 18 (cbrt.f64 (pow.f64 (*.f64 y (*.f64 t z)) 3)) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c)))) |
Compiled 4564 to 2088 computations (54.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f64 (*.f64 27 k) j) |
| 0.2b | (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x)))) | |
| 3.0b | (*.f64 y (*.f64 t (*.f64 z x))) | |
| 4.1b | (*.f64 t (*.f64 z x)) |
1 calls:
| 4.0ms | (*.f64 (*.f64 27 k) j) |
| 1× | rewrite-expression-head |
| 6× | add-cbrt-cube_binary64 |
| 6× | add-exp-log_binary64 |
| 6× | pow1_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | cbrt-unprod_binary64 |
1 calls:
| 4.0ms | (*.f64 (*.f64 27 k) j) |
| 1× | egg-herbie |
| 537× | associate-*l*_binary64 |
| 367× | associate-*r*_binary64 |
| 353× | *-commutative_binary64 |
| 340× | cube-div_binary64 |
| 340× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 380 |
| 1 | 97 | 344 |
| 2 | 352 | 344 |
| 3 | 971 | 344 |
| 4 | 1135 | 344 |
| 5 | 1335 | 344 |
| 6 | 1591 | 344 |
| 7 | 2659 | 344 |
| 8 | 4026 | 344 |
| 9 | 4880 | 344 |
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 111 | 0 | 111 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 111 | 9 | 120 |
| Status | Error | Program |
| ✓ | 4.2b | (fma.f64 x (fma.f64 18 (*.f64 y (*.f64 z t)) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c)))) |
| 4.1b | (fma.f64 c b (fma.f64 t (fma.f64 y (*.f64 18 (*.f64 z x)) (*.f64 a -4)) (fma.f64 (*.f64 k j) -27 (*.f64 (*.f64 x i) -4)))) | |
| ✓ | 2.4b | (-.f64 (+.f64 (*.f64 c b) (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x))))) (+.f64 (*.f64 4 (*.f64 i x)) (+.f64 (*.f64 4 (*.f64 a t)) (*.f64 (*.f64 27 k) j)))) |
| ▶ | 2.5b | (-.f64 (+.f64 (*.f64 c b) (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x))))) (+.f64 (*.f64 4 (*.f64 i x)) (+.f64 (*.f64 4 (*.f64 a t)) (*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 k j)))))) |
| 35.1b | (*.f64 (sqrt.f64 (fma.f64 x (fma.f64 18 (*.f64 y (*.f64 z t)) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c))))) (sqrt.f64 (fma.f64 x (fma.f64 18 (*.f64 y (*.f64 z t)) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c)))))) | |
| 43.7b | (*.f64 (-.f64 (*.f64 18 (*.f64 y (*.f64 z x))) (*.f64 4 a)) t) | |
| 5.4b | (-.f64 (+.f64 (*.f64 c b) (*.f64 18 (*.f64 (*.f64 y t) (*.f64 z x)))) (+.f64 (*.f64 4 (*.f64 i x)) (+.f64 (*.f64 4 (*.f64 a t)) (*.f64 27 (*.f64 k j))))) | |
| 5.7b | (-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k)) | |
| 13.6b | (fma.f64 x (fma.f64 18 (cbrt.f64 (pow.f64 (*.f64 y (*.f64 t z)) 3)) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c)))) |
Compiled 4764 to 2255 computations (52.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (*.f64 (sqrt.f64 27) (*.f64 k j)) |
| ✓ | 0.3b | (*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 k j))) |
| 3.0b | (*.f64 y (*.f64 t (*.f64 z x))) | |
| 4.1b | (*.f64 t (*.f64 z x)) |
2 calls:
| 24.0ms | (*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 k j))) |
| 8.0ms | (*.f64 (sqrt.f64 27) (*.f64 k j)) |
| 1× | rewrite-expression-head |
| 16× | add-cbrt-cube_binary64 |
| 16× | add-exp-log_binary64 |
| 16× | pow1_binary64 |
| 12× | associate-*l*_binary64 |
| 9× | cbrt-unprod_binary64 |
2 calls:
| 8.0ms | (*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 k j))) |
| 5.0ms | (*.f64 (sqrt.f64 27) (*.f64 k j)) |
| 1× | egg-herbie |
| 383× | unswap-sqr_binary64 |
| 346× | *-commutative_binary64 |
| 338× | associate-+l+_binary64 |
| 326× | distribute-rgt-in_binary64 |
| 291× | sqr-pow_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 975 |
| 1 | 164 | 879 |
| 2 | 556 | 879 |
| 3 | 859 | 871 |
| 4 | 1168 | 871 |
| 5 | 1833 | 871 |
| 6 | 4012 | 871 |
| 7 | 4659 | 871 |
| 8 | 4999 | 871 |
| 9 | 4933 | 871 |
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 124 | 0 | 124 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 124 | 9 | 133 |
| Status | Error | Program |
| ✓ | 4.2b | (fma.f64 x (fma.f64 18 (*.f64 y (*.f64 z t)) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c)))) |
| 4.1b | (fma.f64 c b (fma.f64 t (fma.f64 y (*.f64 18 (*.f64 z x)) (*.f64 a -4)) (fma.f64 (*.f64 k j) -27 (*.f64 (*.f64 x i) -4)))) | |
| ✓ | 2.4b | (-.f64 (+.f64 (*.f64 c b) (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x))))) (+.f64 (*.f64 4 (*.f64 i x)) (+.f64 (*.f64 4 (*.f64 a t)) (*.f64 (*.f64 27 k) j)))) |
| ✓ | 2.5b | (-.f64 (+.f64 (*.f64 c b) (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x))))) (+.f64 (*.f64 4 (*.f64 i x)) (+.f64 (*.f64 4 (*.f64 a t)) (*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 k j)))))) |
| 35.1b | (*.f64 (sqrt.f64 (fma.f64 x (fma.f64 18 (*.f64 y (*.f64 z t)) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c))))) (sqrt.f64 (fma.f64 x (fma.f64 18 (*.f64 y (*.f64 z t)) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c)))))) | |
| 43.7b | (*.f64 (-.f64 (*.f64 18 (*.f64 y (*.f64 z x))) (*.f64 4 a)) t) | |
| 5.4b | (-.f64 (+.f64 (*.f64 c b) (*.f64 18 (*.f64 (*.f64 y t) (*.f64 z x)))) (+.f64 (*.f64 4 (*.f64 i x)) (+.f64 (*.f64 4 (*.f64 a t)) (*.f64 27 (*.f64 k j))))) | |
| 5.7b | (-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) (*.f64 (*.f64 x 4) i)) (*.f64 (*.f64 j 27) k)) | |
| 13.6b | (fma.f64 x (fma.f64 18 (cbrt.f64 (pow.f64 (*.f64 y (*.f64 t z)) 3)) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c)))) |
Compiled 5365 to 2716 computations (49.4% saved)
Total 1.6b remaining (98.6%)
Threshold costs 0b (0%)
Compiled 32798 to 23561 computations (28.2% saved)
Compiled 41 to 29 computations (29.3% saved)
| 1× | egg-herbie |
| 29× | *-commutative_binary64 |
| 17× | +-commutative_binary64 |
| 15× | sub-neg_binary64 |
| 12× | distribute-rgt-neg-in_binary64 |
| 12× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 187 |
| 1 | 85 | 187 |
| 2 | 128 | 187 |
| 3 | 152 | 187 |
| 4 | 170 | 187 |
| 5 | 176 | 187 |
| 6 | 174 | 187 |
(sort b c)
Compiled 1994 to 1282 computations (35.7% saved)
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