Time bar (total: 19.4s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.5% | 0.5% | 0 |
| 99.5% | 0% | 0.5% | 1 |
Compiled 42 to 30 computations (28.6% saved)
(sort y z)
(sort b c)
(sort j k)
| 2.8s | 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 |
| 10.0b | (-.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)) | |
| ▶ | 7.7b | (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 |
| ✓ | 0.3b | (fma.f64 -27 (*.f64 j k) (*.f64 b c)) |
| ✓ | 0.5b | (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c))) |
| ✓ | 4.6b | (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)))) |
| ✓ | 6.2b | (*.f64 y (*.f64 z t)) |
4 calls:
| 203.0ms | (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)))) |
| 40.0ms | (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c))) |
| 19.0ms | (*.f64 y (*.f64 z t)) |
| 19.0ms | (fma.f64 -27 (*.f64 j k) (*.f64 b c)) |
| 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:
| 6.0ms | (*.f64 y (*.f64 z t)) |
| 1.0ms | (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c))) |
| 1.0ms | (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)))) |
| 1.0ms | (fma.f64 -27 (*.f64 j k) (*.f64 b c)) |
| 1× | egg-herbie |
| 889× | fma-neg_binary64 |
| 702× | associate-*l*_binary64 |
| 579× | cancel-sign-sub-inv_binary64 |
| 538× | associate-*r*_binary64 |
| 437× | exp-prod_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 7204 |
| 1 | 324 | 6541 |
| 2 | 943 | 6342 |
| 3 | 3007 | 6340 |
| 4 | 4910 | 6340 |
| 5 | 5179 | 6340 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 113 | 6 | 119 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 114 | 7 | 121 |
| Status | Error | Program |
| 35.3b | (*.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)))))) | |
| 9.5b | (-.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 27 (*.f64 k j))))) | |
| 37.2b | (*.f64 (-.f64 (*.f64 18 (*.f64 y (*.f64 z x))) (*.f64 4 a)) t) | |
| 10.0b | (-.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)) | |
| 19.8b | (fma.f64 x (fma.f64 y (*.f64 (*.f64 t z) 18) (*.f64 i -4)) (fma.f64 c b (*.f64 (*.f64 t a) -4))) | |
| 29.4b | (cbrt.f64 (pow.f64 (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)))) 3)) | |
| ▶ | 7.7b | (fma.f64 x (fma.f64 18 (*.f64 (*.f64 y z) t) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c)))) |
Compiled 3852 to 1843 computations (52.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.3b | (fma.f64 -27 (*.f64 j k) (*.f64 b c)) | |
| 0.5b | (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c))) | |
| ✓ | 4.6b | (fma.f64 x (fma.f64 18 (*.f64 (*.f64 y z) t) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c)))) |
| ✓ | 5.2b | (*.f64 (*.f64 y z) t) |
2 calls:
| 215.0ms | (fma.f64 x (fma.f64 18 (*.f64 (*.f64 y z) t) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c)))) |
| 17.0ms | (*.f64 (*.f64 y z) t) |
| 1× | rewrite-expression-head |
| 7× | add-cbrt-cube_binary64 |
| 7× | add-exp-log_binary64 |
| 7× | pow1_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | *-un-lft-identity_binary64 |
2 calls:
| 8.0ms | (*.f64 (*.f64 y z) t) |
| 1.0ms | (fma.f64 x (fma.f64 18 (*.f64 (*.f64 y z) t) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c)))) |
| 1× | egg-herbie |
| 583× | distribute-rgt-in_binary64 |
| 573× | distribute-lft-in_binary64 |
| 563× | fma-neg_binary64 |
| 405× | cancel-sign-sub-inv_binary64 |
| 328× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 5026 |
| 1 | 295 | 4613 |
| 2 | 970 | 4418 |
| 3 | 1924 | 4414 |
| 4 | 5067 | 4414 |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 117 | 1 | 118 |
| Fresh | 1 | 5 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 118 | 7 | 125 |
| Status | Error | Program |
| 35.3b | (*.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)))))) | |
| ▶ | 9.5b | (-.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 27 (*.f64 k j))))) |
| 37.2b | (*.f64 (-.f64 (*.f64 18 (*.f64 y (*.f64 z x))) (*.f64 4 a)) t) | |
| 10.0b | (-.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)) | |
| 20.1b | (fma.f64 x (fma.f64 18 (*.f64 (*.f64 y z) t) (*.f64 i -4)) (fma.f64 c b (*.f64 (*.f64 t a) -4))) | |
| 29.4b | (cbrt.f64 (pow.f64 (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)))) 3)) | |
| ✓ | 7.7b | (fma.f64 x (fma.f64 18 (*.f64 (*.f64 y z) t) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c)))) |
Compiled 3781 to 1802 computations (52.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 1.3b | (+.f64 (*.f64 c b) (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x))))) |
| ✓ | 3.3b | (-.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))))) |
| ✓ | 4.7b | (*.f64 t (*.f64 z x)) |
| ✓ | 5.5b | (*.f64 y (*.f64 t (*.f64 z x))) |
4 calls:
| 234.0ms | (-.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))))) |
| 55.0ms | (+.f64 (*.f64 c b) (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x))))) |
| 39.0ms | (*.f64 y (*.f64 t (*.f64 z x))) |
| 19.0ms | (*.f64 t (*.f64 z x)) |
| 1× | rewrite-expression-head |
| 27× | add-log-exp_binary64 |
| 18× | add-cbrt-cube_binary64 |
| 18× | add-exp-log_binary64 |
| 18× | pow1_binary64 |
| 16× | *-un-lft-identity_binary64 |
4 calls:
| 29.0ms | (-.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))))) |
| 13.0ms | (*.f64 t (*.f64 z x)) |
| 11.0ms | (*.f64 y (*.f64 t (*.f64 z x))) |
| 8.0ms | (+.f64 (*.f64 c b) (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x))))) |
| 1× | egg-herbie |
| 691× | cancel-sign-sub-inv_binary64 |
| 431× | fma-neg_binary64 |
| 368× | associate-*r*_binary64 |
| 342× | associate-*l*_binary64 |
| 168× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 229 | 5020 |
| 1 | 714 | 3920 |
| 2 | 3083 | 3737 |
| 3 | 4979 | 3737 |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 157 | 0 | 157 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 157 | 7 | 164 |
| Status | Error | Program |
| 35.3b | (*.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)))))) | |
| ✓ | 9.5b | (-.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 27 (*.f64 k j))))) |
| 37.2b | (*.f64 (-.f64 (*.f64 18 (*.f64 y (*.f64 z x))) (*.f64 4 a)) t) | |
| ▶ | 10.0b | (-.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)) |
| 20.1b | (fma.f64 x (fma.f64 18 (*.f64 (*.f64 y z) t) (*.f64 i -4)) (fma.f64 c b (*.f64 (*.f64 t a) -4))) | |
| 29.4b | (cbrt.f64 (pow.f64 (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)))) 3)) | |
| ✓ | 7.7b | (fma.f64 x (fma.f64 18 (*.f64 (*.f64 y z) t) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c)))) |
Compiled 8150 to 3457 computations (57.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 1.7b | (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) |
| ✓ | 1.9b | (-.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 | (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) |
| ✓ | 4.5b | (*.f64 (*.f64 (*.f64 x 18) y) z) |
4 calls:
| 132.0ms | (-.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)) |
| 103.0ms | (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) |
| 23.0ms | (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) |
| 11.0ms | (*.f64 (*.f64 (*.f64 x 18) y) z) |
| 1× | rewrite-expression-head |
| 27× | add-cbrt-cube_binary64 |
| 27× | add-exp-log_binary64 |
| 27× | pow1_binary64 |
| 23× | add-log-exp_binary64 |
| 16× | cbrt-unprod_binary64 |
4 calls:
| 33.0ms | (-.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)) |
| 19.0ms | (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) (*.f64 (*.f64 a 4) t)) (*.f64 b c)) |
| 13.0ms | (*.f64 (*.f64 (*.f64 (*.f64 x 18) y) z) t) |
| 10.0ms | (*.f64 (*.f64 (*.f64 x 18) y) z) |
| 1× | egg-herbie |
| 903× | fma-neg_binary64 |
| 420× | associate-*l*_binary64 |
| 414× | cancel-sign-sub-inv_binary64 |
| 339× | exp-prod_binary64 |
| 322× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 245 | 9722 |
| 1 | 669 | 8573 |
| 2 | 2512 | 8265 |
| 3 | 4342 | 8255 |
| 4 | 5081 | 8255 |
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 187 | 2 | 189 |
| Fresh | 2 | 2 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 189 | 7 | 196 |
| Status | Error | Program |
| 35.3b | (*.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)))))) | |
| ✓ | 9.5b | (-.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 27 (*.f64 k j))))) |
| 37.2b | (*.f64 (-.f64 (*.f64 18 (*.f64 y (*.f64 z x))) (*.f64 4 a)) t) | |
| ✓ | 10.0b | (-.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)) |
| 28.4b | (cbrt.f64 (pow.f64 (fma.f64 c b (fma.f64 x (fma.f64 18 (*.f64 y (*.f64 z t)) (*.f64 i -4)) (fma.f64 t (*.f64 a -4) (*.f64 (*.f64 k j) -27)))) 3)) | |
| 18.4b | (fma.f64 t (fma.f64 18 (*.f64 y (*.f64 z x)) (*.f64 a -4)) (fma.f64 c b (*.f64 (*.f64 x i) -4))) | |
| ✓ | 7.7b | (fma.f64 x (fma.f64 18 (*.f64 (*.f64 y z) t) (*.f64 i -4)) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c)))) |
Compiled 7420 to 4135 computations (44.3% saved)
Total 7.7b remaining (96.7%)
Threshold costs 0b (0%)
Compiled 88761 to 62736 computations (29.3% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 7 | 3.314805592717933e+257 | 3.0205664111876725e+259 | 5.4509450614732235e+258 |
| 1 | 6.524580300463145e+230 | 1.5886112362836225e+232 | 3.0740571289202475e+231 |
| 5 | 9.723257247306391e+144 | 2.647260254636363e+145 | 1.133576917693191e+145 |
| 7 | 9.771710060885029e-219 | 1.0832452144697396e-216 | 1.0221135886669087e-218 |
| 7 | -1.4445732521921072e-103 | -2.4869828764131524e-105 | -1.4189869398597547e-103 |
Compiled 11 to 10 computations (9.1% saved)
| 1× | egg-herbie |
| 36× | *-commutative_binary64 |
| 16× | +-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 | 76 | 231 |
| 1 | 116 | 231 |
| 2 | 156 | 231 |
| 3 | 180 | 231 |
| 4 | 198 | 231 |
| 5 | 204 | 231 |
| 6 | 201 | 231 |
(sort y z)
Compiled 2335 to 1325 computations (43.3% saved)
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