Time bar (total: 9.5s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.8% | 0.2% | 0 |
| 0% | 99.8% | 0.2% | 1 |
| 0% | 99.8% | 0.2% | 2 |
| 0% | 99.8% | 0.2% | 3 |
| 0% | 99.8% | 0.2% | 4 |
| 0% | 99.8% | 0.2% | 5 |
| 0% | 99.8% | 0.2% | 6 |
| 0% | 99.8% | 0.2% | 7 |
| 0% | 99.8% | 0.2% | 8 |
| 0% | 99.8% | 0.2% | 9 |
| 0% | 99.8% | 0.2% | 10 |
| 9.4% | 90.4% | 0.2% | 11 |
| 9.4% | 90.4% | 0.2% | 12 |
| 10.1% | 89.6% | 0.2% | 13 |
| 20.8% | 78.9% | 0.2% | 14 |
Compiled 19 to 14 computations (26.3% saved)
| 1× | intervals |
| 17.0ms | 256× | body | 128 | valid |
| 5.0ms | 104× | body | 128 | invalid |
Compiled 42 to 32 computations (23.8% saved)
| 1× | egg-herbie |
| 1728× | associate-/l*_binary64 |
| 1269× | div-sub_binary64 |
| 1211× | distribute-rgt-in_binary64 |
| 791× | sub-neg_binary64 |
| 779× | cancel-sign-sub-inv_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 19 |
| 1 | 30 | 19 |
| 2 | 101 | 19 |
| 3 | 305 | 19 |
| 4 | 751 | 19 |
| 5 | 1395 | 19 |
| 6 | 1737 | 19 |
| 7 | 1915 | 19 |
| 8 | 2338 | 19 |
| 9 | 2903 | 19 |
| 10 | 3317 | 19 |
| 11 | 3521 | 19 |
| 12 | 3460 | 19 |
| 13 | 3471 | 19 |
| 14 | 3481 | 19 |
| 15 | 3825 | 19 |
| 16 | 3894 | 19 |
| 17 | 3899 | 19 |
| 18 | 3899 | 19 |
| 19 | 4026 | 19 |
| 20 | 3914 | 19 |
| 21 | 4337 | 19 |
| 22 | 4484 | 19 |
| 23 | 4514 | 19 |
| 24 | 4450 | 19 |
| 25 | 4430 | 19 |
| 26 | 4175 | 19 |
| 27 | 4267 | 19 |
| 28 | 4285 | 19 |
| 29 | 4351 | 19 |
| 30 | 4471 | 19 |
| 31 | 4395 | 19 |
| 32 | 4395 | 19 |
| 33 | 4398 | 19 |
| 34 | 4398 | 19 |
| 35 | 3981 | 19 |
| 36 | 4073 | 19 |
| 37 | 4512 | 19 |
| 38 | 4679 | 19 |
| 39 | 4535 | 19 |
| 40 | 4721 | 19 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 1 | 1 |
| Status | Error | Program |
| ▶ | 5.3b | (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2)) |
Compiled 36 to 26 computations (27.8% saved)
Found 3 expressions with local error:
| 0.0b | (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) |
| 0.2b | (*.f64 (*.f64 z 9) t) |
| 4.9b | (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2)) |
| 1× | rewrite-expression-head |
| 13× | add-cbrt-cube_binary64 |
| 13× | add-exp-log_binary64 |
| 8× | pow1_binary64 |
| 6× | *-un-lft-identity_binary64 |
| 6× | add-sqr-sqrt_binary64 |
3 calls:
| 6.0ms | (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2)) |
| 3.0ms | (*.f64 (*.f64 z 9) t) |
| 3.0ms | (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) |
Compiled 1166 to 671 computations (42.5% saved)
3 calls:
| 70.0ms | (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2)) |
| 35.0ms | (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) |
| 10.0ms | (*.f64 (*.f64 z 9) t) |
Compiled 1657 to 1173 computations (29.2% saved)
| 1× | egg-herbie |
| 393× | *-commutative_binary64 |
| 365× | cancel-sign-sub-inv_binary64 |
| 305× | div-sub_binary64 |
| 290× | associate-/l*_binary64 |
| 241× | times-frac_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 1784 |
| 1 | 381 | 1636 |
| 2 | 1315 | 1631 |
| 3 | 3443 | 1631 |
| 4 | 5088 | 1631 |
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 74 | 10 | 84 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 74 | 11 | 85 |
| Status | Error | Program |
| ✓ | 5.3b | (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2)) |
| 39.8b | (/.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (*.f64 z 9) t) 3)) (*.f64 (*.f64 a 2) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 t (*.f64 (*.f64 z 9) (+.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9))))))) | |
| 5.3b | (*.f64 (/.f64 1 a) (/.f64 (-.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9)) 2)) | |
| 22.5b | (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 -81 (*.f64 (*.f64 t z) (*.f64 t z)))) (+.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9))) (*.f64 a 2)) | |
| 33.6b | (*.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9)) (*.f64 a 2))) (sqrt.f64 (/.f64 (-.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9)) (*.f64 a 2)))) | |
| 36.8b | (cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9)) a) 3) 8)) | |
| 30.5b | (/.f64 (*.f64 (*.f64 t z) -9) (*.f64 a 2)) | |
| 39.3b | (/.f64 (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t))) (/.f64 a (/.f64 (sqrt.f64 (-.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9))) 2))) | |
| 6.1b | (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t))) (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)))) (/.f64 a (/.f64 (cbrt.f64 (-.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9))) 2))) | |
| 5.4b | (/.f64 1 (/.f64 a (/.f64 (-.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9)) 2))) | |
| ▶ | 5.3b | (-.f64 (/.f64 (*.f64 y x) (*.f64 a 2)) (*.f64 (/.f64 (*.f64 t z) a) 9/2)) |
Compiled 1361 to 787 computations (42.2% saved)
Found 4 expressions with local error:
| 0.0b | (-.f64 (/.f64 (*.f64 y x) (*.f64 a 2)) (*.f64 (/.f64 (*.f64 t z) a) 9/2)) |
| 0.2b | (*.f64 (/.f64 (*.f64 t z) a) 9/2) |
| 4.6b | (/.f64 (*.f64 t z) a) |
| 6.0b | (/.f64 (*.f64 y x) (*.f64 a 2)) |
| 1× | rewrite-expression-head |
| 30× | add-cbrt-cube_binary64 |
| 30× | add-exp-log_binary64 |
| 11× | add-sqr-sqrt_binary64 |
| 9× | *-un-lft-identity_binary64 |
| 9× | cbrt-unprod_binary64 |
4 calls:
| 6.0ms | (*.f64 (/.f64 (*.f64 t z) a) 9/2) |
| 6.0ms | (-.f64 (/.f64 (*.f64 y x) (*.f64 a 2)) (*.f64 (/.f64 (*.f64 t z) a) 9/2)) |
| 4.0ms | (/.f64 (*.f64 y x) (*.f64 a 2)) |
| 3.0ms | (/.f64 (*.f64 t z) a) |
Compiled 1827 to 819 computations (55.2% saved)
4 calls:
| 74.0ms | (-.f64 (/.f64 (*.f64 y x) (*.f64 a 2)) (*.f64 (/.f64 (*.f64 t z) a) 9/2)) |
| 22.0ms | (/.f64 (*.f64 y x) (*.f64 a 2)) |
| 21.0ms | (/.f64 (*.f64 t z) a) |
| 20.0ms | (*.f64 (/.f64 (*.f64 t z) a) 9/2) |
Compiled 1923 to 1331 computations (30.8% saved)
| 1× | egg-herbie |
| 629× | associate-/r*_binary64 |
| 486× | *-commutative_binary64 |
| 374× | associate-/l/_binary64 |
| 263× | associate-/r/_binary64 |
| 205× | times-frac_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 172 | 1921 |
| 1 | 452 | 1815 |
| 2 | 1857 | 1815 |
| 3 | 4329 | 1815 |
| 4 | 4869 | 1815 |
| 5 | 4963 | 1815 |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 74 | 5 | 79 |
| Fresh | 4 | 5 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 80 | 10 | 90 |
| Status | Error | Program |
| 7.4b | (-.f64 (/.f64 (*.f64 y x) (*.f64 a 2)) (*.f64 (*.f64 t (/.f64 z a)) 9/2)) | |
| 5.4b | (/.f64 1 (/.f64 a (/.f64 (-.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9)) 2))) | |
| ▶ | 5.3b | (*.f64 (/.f64 1 a) (/.f64 (-.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9)) 2)) |
| 22.5b | (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 -81 (*.f64 (*.f64 t z) (*.f64 t z)))) (+.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9))) (*.f64 a 2)) | |
| 27.6b | (/.f64 (*.f64 a (+.f64 (*.f64 y x) (*.f64 -9 (*.f64 t z)))) (*.f64 a (*.f64 a 2))) | |
| 36.8b | (cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9)) a) 3) 8)) | |
| 7.5b | (-.f64 (/.f64 (*.f64 y x) (*.f64 a 2)) (*.f64 (/.f64 t 1) (*.f64 9/2 (/.f64 z a)))) | |
| 5.4b | (-.f64 (/.f64 (*.f64 y x) (*.f64 a 2)) (*.f64 (/.f64 t (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (*.f64 9/2 (/.f64 z (cbrt.f64 a))))) | |
| 39.8b | (/.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (*.f64 z 9) t) 3)) (*.f64 (*.f64 a 2) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 t (*.f64 (*.f64 z 9) (+.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9))))))) | |
| 6.8b | (-.f64 (/.f64 y (/.f64 a (/.f64 x 2))) (*.f64 (/.f64 (*.f64 t z) a) 9/2)) |
Compiled 1198 to 650 computations (45.7% saved)
Found 4 expressions with local error:
| 0.0b | (/.f64 (-.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9)) 2) |
| 0.0b | (-.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9)) |
| 0.3b | (*.f64 (*.f64 t z) 9) |
| 5.0b | (*.f64 (/.f64 1 a) (/.f64 (-.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9)) 2)) |
| 1× | rewrite-expression-head |
| 44× | add-sqr-sqrt_binary64 |
| 34× | times-frac_binary64 |
| 33× | add-exp-log_binary64 |
| 29× | *-un-lft-identity_binary64 |
| 27× | add-cube-cbrt_binary64 |
4 calls:
| 10.0ms | (*.f64 (/.f64 1 a) (/.f64 (-.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9)) 2)) |
| 7.0ms | (/.f64 (-.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9)) 2) |
| 4.0ms | (*.f64 (*.f64 t z) 9) |
| 3.0ms | (-.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9)) |
Compiled 2904 to 1659 computations (42.9% saved)
4 calls:
| 65.0ms | (*.f64 (/.f64 1 a) (/.f64 (-.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9)) 2)) |
| 41.0ms | (/.f64 (-.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9)) 2) |
| 39.0ms | (-.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9)) |
| 11.0ms | (*.f64 (*.f64 t z) 9) |
Compiled 2427 to 1778 computations (26.7% saved)
| 1× | egg-herbie |
| 525× | associate-*l/_binary64 |
| 457× | associate-/l*_binary64 |
| 278× | associate-/l/_binary64 |
| 204× | associate-*l*_binary64 |
| 194× | associate-*r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 202 | 3790 |
| 1 | 522 | 3453 |
| 2 | 1817 | 3453 |
| 3 | 4864 | 3453 |
| 4 | 4920 | 3453 |
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 140 | 3 | 143 |
| Fresh | 3 | 6 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 143 | 10 | 153 |
| Status | Error | Program |
| 7.5b | (-.f64 (/.f64 (*.f64 y x) (*.f64 a 2)) (*.f64 (/.f64 t 1) (*.f64 9/2 (/.f64 z a)))) | |
| 5.7b | (*.f64 (/.f64 (/.f64 1 a) (sqrt.f64 2)) (/.f64 (-.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9)) (sqrt.f64 2))) | |
| 7.4b | (-.f64 (/.f64 (*.f64 y x) (*.f64 a 2)) (*.f64 (*.f64 t (/.f64 z a)) 9/2)) | |
| 5.4b | (/.f64 1 (/.f64 a (/.f64 (-.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9)) 2))) | |
| ✓ | 5.3b | (*.f64 (/.f64 1 a) (/.f64 (-.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9)) 2)) |
| ▶ | 5.3b | (*.f64 (/.f64 1 a) (/.f64 (-.f64 (*.f64 y x) (*.f64 t (*.f64 9 z))) 2)) |
| 20.9b | (*.f64 (/.f64 1 a) (/.f64 (-.f64 (*.f64 y x) (cbrt.f64 (pow.f64 (*.f64 9 (*.f64 t z)) 3))) 2)) | |
| 5.4b | (-.f64 (/.f64 (*.f64 y x) (*.f64 a 2)) (*.f64 (/.f64 t (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (*.f64 9/2 (/.f64 z (cbrt.f64 a))))) | |
| 39.8b | (/.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (*.f64 z 9) t) 3)) (*.f64 (*.f64 a 2) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 t (*.f64 (*.f64 z 9) (+.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9))))))) | |
| 6.8b | (-.f64 (/.f64 y (/.f64 a (/.f64 x 2))) (*.f64 (/.f64 (*.f64 t z) a) 9/2)) |
Compiled 2459 to 1431 computations (41.8% saved)
Found 4 expressions with local error:
| 0.0b | (/.f64 (-.f64 (*.f64 y x) (*.f64 t (*.f64 9 z))) 2) |
| 0.0b | (-.f64 (*.f64 y x) (*.f64 t (*.f64 9 z))) |
| 0.2b | (*.f64 t (*.f64 9 z)) |
| 5.0b | (*.f64 (/.f64 1 a) (/.f64 (-.f64 (*.f64 y x) (*.f64 t (*.f64 9 z))) 2)) |
| 1× | rewrite-expression-head |
| 44× | add-sqr-sqrt_binary64 |
| 34× | times-frac_binary64 |
| 33× | add-exp-log_binary64 |
| 29× | *-un-lft-identity_binary64 |
| 27× | add-cube-cbrt_binary64 |
4 calls:
| 12.0ms | (*.f64 (/.f64 1 a) (/.f64 (-.f64 (*.f64 y x) (*.f64 t (*.f64 9 z))) 2)) |
| 4.0ms | (/.f64 (-.f64 (*.f64 y x) (*.f64 t (*.f64 9 z))) 2) |
| 4.0ms | (*.f64 t (*.f64 9 z)) |
| 3.0ms | (-.f64 (*.f64 y x) (*.f64 t (*.f64 9 z))) |
Compiled 2887 to 1817 computations (37.1% saved)
4 calls:
| 70.0ms | (*.f64 (/.f64 1 a) (/.f64 (-.f64 (*.f64 y x) (*.f64 t (*.f64 9 z))) 2)) |
| 42.0ms | (/.f64 (-.f64 (*.f64 y x) (*.f64 t (*.f64 9 z))) 2) |
| 40.0ms | (-.f64 (*.f64 y x) (*.f64 t (*.f64 9 z))) |
| 10.0ms | (*.f64 t (*.f64 9 z)) |
Compiled 2427 to 1778 computations (26.7% saved)
| 1× | egg-herbie |
| 549× | associate-*l/_binary64 |
| 443× | associate-/l*_binary64 |
| 280× | associate-/l/_binary64 |
| 198× | associate-*r*_binary64 |
| 180× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 201 | 3793 |
| 1 | 518 | 3453 |
| 2 | 1785 | 3453 |
| 3 | 4902 | 3453 |
| 4 | 4960 | 3453 |
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 144 | 0 | 144 |
| Fresh | 0 | 8 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 144 | 10 | 154 |
| Status | Error | Program |
| 7.5b | (-.f64 (/.f64 (*.f64 y x) (*.f64 a 2)) (*.f64 (/.f64 t 1) (*.f64 9/2 (/.f64 z a)))) | |
| 5.7b | (*.f64 (/.f64 (/.f64 1 a) (sqrt.f64 2)) (/.f64 (-.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9)) (sqrt.f64 2))) | |
| 7.4b | (-.f64 (/.f64 (*.f64 y x) (*.f64 a 2)) (*.f64 (*.f64 t (/.f64 z a)) 9/2)) | |
| 5.4b | (/.f64 1 (/.f64 a (/.f64 (-.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9)) 2))) | |
| 5.3b | (*.f64 (/.f64 1 a) (/.f64 (-.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9)) 2)) | |
| 5.3b | (*.f64 (/.f64 1 a) (/.f64 (-.f64 (*.f64 y x) (*.f64 t (*.f64 9 z))) 2)) | |
| 20.9b | (*.f64 (/.f64 1 a) (/.f64 (-.f64 (*.f64 y x) (cbrt.f64 (pow.f64 (*.f64 9 (*.f64 t z)) 3))) 2)) | |
| 5.4b | (-.f64 (/.f64 (*.f64 y x) (*.f64 a 2)) (*.f64 (/.f64 t (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (*.f64 9/2 (/.f64 z (cbrt.f64 a))))) | |
| 39.8b | (/.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 (*.f64 z 9) t) 3)) (*.f64 (*.f64 a 2) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 t (*.f64 (*.f64 z 9) (+.f64 (*.f64 y x) (*.f64 (*.f64 t z) 9))))))) | |
| 6.8b | (-.f64 (/.f64 y (/.f64 a (/.f64 x 2))) (*.f64 (/.f64 (*.f64 t z) a) 9/2)) |
Compiled 2277 to 1309 computations (42.5% saved)
Total 3.9b remaining (89.4%)
Threshold costs 0b (0%)
Compiled 43462 to 29722 computations (31.6% saved)
Compiled 14 to 10 computations (28.6% saved)
| 1× | egg-herbie |
| 19× | *-commutative_binary64 |
| 15× | +-commutative_binary64 |
| 15× | sub-neg_binary64 |
| 12× | distribute-rgt-neg-in_binary64 |
| 11× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 102 |
| 1 | 64 | 102 |
| 2 | 111 | 102 |
| 3 | 134 | 102 |
| 4 | 148 | 102 |
| 5 | 151 | 102 |
| 6 | 149 | 102 |
Compiled 370 to 220 computations (40.5% saved)
| 1× | intervals |
| 454.0ms | 8000× | body | 128 | valid |
| 178.0ms | 3181× | body | 128 | invalid |
Compiled 340 to 235 computations (30.9% saved)
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