Time bar (total: 8.7s)
| 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)
| 1.4s | 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 |
| 8.4b | (-.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)) | |
| ▶ | 4.7b | (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 |
| ✓ | 0.1b | (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))) |
| ✓ | 3.4b | (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)))) |
| ✓ | 3.9b | (*.f64 y (*.f64 z t)) |
4 calls:
| 93.0ms | (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)))) |
| 25.0ms | (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c))) |
| 11.0ms | (*.f64 y (*.f64 z t)) |
| 10.0ms | (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:
| 4.0ms | (*.f64 y (*.f64 z t)) |
| 0.0ms | (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c))) |
| 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 -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 |
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 115 | 4 | 119 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 116 | 5 | 121 |
| Status | Error | Program |
| 38.6b | (*.f64 (-.f64 (*.f64 18 (*.f64 y (*.f64 z x))) (*.f64 4 a)) t) | |
| 8.4b | (-.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)) | |
| ▶ | 5.0b | (+.f64 (*.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)))) |
| 5.4b | (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)))) | |
| 8.0b | (-.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 3662 to 1723 computations (52.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.5b | (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c))) | |
| ✓ | 1.7b | (*.f64 x (fma.f64 18 (*.f64 y (*.f64 z t)) (*.f64 i -4))) |
| ✓ | 2.2b | (+.f64 (*.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)))) |
| 3.9b | (*.f64 y (*.f64 z t)) |
2 calls:
| 102.0ms | (+.f64 (*.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)))) |
| 31.0ms | (*.f64 x (fma.f64 18 (*.f64 y (*.f64 z t)) (*.f64 i -4))) |
| 1× | rewrite-expression-head |
| 6× | add-sqr-sqrt_binary64 |
| 5× | fma-udef_binary64 |
| 4× | *-un-lft-identity_binary64 |
| 4× | add-cube-cbrt_binary64 |
| 4× | add-cbrt-cube_binary64 |
2 calls:
| 3.0ms | (+.f64 (*.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)))) |
| 3.0ms | (*.f64 x (fma.f64 18 (*.f64 y (*.f64 z t)) (*.f64 i -4))) |
| 1× | egg-herbie |
| 712× | fma-def_binary64 |
| 381× | exp-prod_binary64 |
| 322× | distribute-rgt-in_binary64 |
| 304× | distribute-lft-in_binary64 |
| 302× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 6283 |
| 1 | 349 | 5909 |
| 2 | 1091 | 5708 |
| 3 | 3438 | 5708 |
| 4 | 4745 | 5708 |
| 5 | 4964 | 5708 |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 147 | 2 | 149 |
| Fresh | 2 | 2 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 149 | 5 | 154 |
| Status | Error | Program |
| 8.4b | (-.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)) | |
| 7.2b | (+.f64 (-.f64 (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x)))) (*.f64 4 (*.f64 i x))) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c)))) | |
| ✓ | 5.0b | (+.f64 (*.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)))) |
| ▶ | 5.4b | (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)))) |
| 38.6b | (*.f64 t (fma.f64 a -4 (*.f64 18 (*.f64 y (*.f64 z x))))) |
Compiled 4967 to 2330 computations (53.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (fma.f64 (*.f64 k j) -27 (*.f64 (*.f64 x i) -4)) |
| ✓ | 0.5b | (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)))) |
| ✓ | 2.7b | (fma.f64 y (*.f64 18 (*.f64 z x)) (*.f64 a -4)) |
| ✓ | 2.8b | (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))) |
4 calls:
| 102.0ms | (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)))) |
| 69.0ms | (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))) |
| 13.0ms | (fma.f64 y (*.f64 18 (*.f64 z x)) (*.f64 a -4)) |
| 12.0ms | (fma.f64 (*.f64 k j) -27 (*.f64 (*.f64 x i) -4)) |
| 1× | rewrite-expression-head |
| 4× | *-un-lft-identity_binary64 |
| 4× | add-sqr-sqrt_binary64 |
| 4× | add-cube-cbrt_binary64 |
| 4× | add-cbrt-cube_binary64 |
| 4× | add-exp-log_binary64 |
4 calls:
| 0.0ms | (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))) |
| 0.0ms | (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)))) |
| 0.0ms | (fma.f64 y (*.f64 18 (*.f64 z x)) (*.f64 a -4)) |
| 0.0ms | (fma.f64 (*.f64 k j) -27 (*.f64 (*.f64 x i) -4)) |
| 1× | egg-herbie |
| 606× | exp-prod_binary64 |
| 399× | fma-def_binary64 |
| 327× | associate-*l*_binary64 |
| 296× | associate-*r*_binary64 |
| 245× | distribute-rgt-neg-out_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 9654 |
| 1 | 280 | 8764 |
| 2 | 725 | 8416 |
| 3 | 2516 | 8416 |
| 4 | 4381 | 8416 |
| 5 | 4976 | 8416 |
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 119 | 1 | 120 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 120 | 5 | 125 |
| Status | Error | Program |
| 25.6b | (fma.f64 c b (*.f64 t (fma.f64 18 (*.f64 y (*.f64 x z)) (*.f64 a -4)))) | |
| 8.4b | (-.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)) | |
| ▶ | 7.2b | (+.f64 (-.f64 (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x)))) (*.f64 4 (*.f64 i x))) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c)))) |
| ✓ | 5.0b | (+.f64 (*.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)))) |
| ✓ | 5.4b | (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)))) |
Compiled 3649 to 1721 computations (52.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 1.6b | (-.f64 (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x)))) (*.f64 4 (*.f64 i x))) |
| ✓ | 2.2b | (+.f64 (-.f64 (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x)))) (*.f64 4 (*.f64 i x))) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c)))) |
| ✓ | 4.6b | (*.f64 t (*.f64 z x)) |
| ✓ | 5.0b | (*.f64 y (*.f64 t (*.f64 z x))) |
4 calls:
| 97.0ms | (+.f64 (-.f64 (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x)))) (*.f64 4 (*.f64 i x))) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c)))) |
| 27.0ms | (-.f64 (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x)))) (*.f64 4 (*.f64 i x))) |
| 18.0ms | (*.f64 y (*.f64 t (*.f64 z x))) |
| 8.0ms | (*.f64 t (*.f64 z x)) |
| 1× | rewrite-expression-head |
| 18× | add-cbrt-cube_binary64 |
| 18× | add-exp-log_binary64 |
| 18× | pow1_binary64 |
| 11× | add-log-exp_binary64 |
| 9× | *-un-lft-identity_binary64 |
4 calls:
| 10.0ms | (+.f64 (-.f64 (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x)))) (*.f64 4 (*.f64 i x))) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c)))) |
| 8.0ms | (-.f64 (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x)))) (*.f64 4 (*.f64 i x))) |
| 5.0ms | (*.f64 y (*.f64 t (*.f64 z x))) |
| 4.0ms | (*.f64 t (*.f64 z x)) |
| 1× | egg-herbie |
| 361× | cancel-sign-sub-inv_binary64 |
| 299× | distribute-rgt-in_binary64 |
| 287× | distribute-lft-in_binary64 |
| 257× | fma-neg_binary64 |
| 243× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 179 | 6492 |
| 1 | 508 | 5832 |
| 2 | 1808 | 5812 |
| 3 | 4506 | 5812 |
| 4 | 4967 | 5812 |
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 154 | 0 | 154 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 154 | 5 | 159 |
| Status | Error | Program |
| 25.6b | (fma.f64 c b (*.f64 t (fma.f64 18 (*.f64 y (*.f64 x z)) (*.f64 a -4)))) | |
| 8.4b | (-.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)) | |
| ✓ | 7.2b | (+.f64 (-.f64 (*.f64 18 (*.f64 y (*.f64 t (*.f64 z x)))) (*.f64 4 (*.f64 i x))) (fma.f64 a (*.f64 t -4) (fma.f64 -27 (*.f64 j k) (*.f64 b c)))) |
| ✓ | 5.0b | (+.f64 (*.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)))) |
| ✓ | 5.4b | (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)))) |
Compiled 5425 to 2274 computations (58.1% saved)
Total 5.0b remaining (89.4%)
Threshold costs 0b (0%)
Compiled 66608 to 47992 computations (27.9% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 7 | 1.1231454483003002e+76 | 2.4357243768605494e+78 | 1.2734222558459215e+78 |
Compiled 11 to 10 computations (9.1% saved)
| 1× | egg-herbie |
| 12× | *-commutative_binary64 |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 78 |
| 1 | 51 | 78 |
| 2 | 51 | 78 |
(sort j k)
(sort b c)
Compiled 826 to 533 computations (35.5% saved)
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