Time bar (total: 9.6s)
| 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 |
| 10.0ms | 256× | body | 128 | valid |
| 4.0ms | 103× | 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 |
| ▶ | 10.3b | (/.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:
| 0.2b | (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) |
| 0.4b | (*.f64 (*.f64 z 9) t) |
| 9.4b | (/.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:
| 8.0ms | (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2)) |
| 5.0ms | (*.f64 (*.f64 z 9) t) |
| 4.0ms | (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) |
Compiled 1166 to 671 computations (42.5% saved)
3 calls:
| 90.0ms | (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2)) |
| 44.0ms | (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) |
| 13.0ms | (*.f64 (*.f64 z 9) t) |
Compiled 1644 to 1166 computations (29.1% saved)
| 1× | egg-herbie |
| 390× | *-commutative_binary64 |
| 364× | cancel-sign-sub-inv_binary64 |
| 305× | div-sub_binary64 |
| 289× | associate-/l*_binary64 |
| 241× | times-frac_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 1784 |
| 1 | 381 | 1636 |
| 2 | 1313 | 1631 |
| 3 | 3442 | 1631 |
| 4 | 5086 | 1631 |
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 73 | 11 | 84 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 73 | 12 | 85 |
| Status | Error | Program |
| 10.0b | (-.f64 (/.f64 (*.f64 x y) (*.f64 a 2)) (*.f64 (/.f64 (*.f64 t z) a) 9/2)) | |
| 33.6b | (*.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 t z) 9)) (*.f64 a 2))) (sqrt.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 t z) 9)) (*.f64 a 2)))) | |
| 10.1b | (*.f64 (/.f64 1 a) (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 t z) 9)) 2)) | |
| 10.7b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 t z) 9))) (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 t z) 9)))) a) (/.f64 (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 t z) 9))) 2)) | |
| 10.2b | (/.f64 1 (/.f64 a (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 t z) 9)) 2))) | |
| 35.5b | (exp.f64 (log.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 t z) 9)) (*.f64 a 2)))) | |
| ✓ | 10.3b | (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2)) |
| 40.1b | (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (*.f64 729 (pow.f64 (*.f64 t z) 3))) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 t (*.f64 (*.f64 z 9) (+.f64 (*.f64 x y) (*.f64 (*.f64 t z) 9)))))) (*.f64 a 2)) | |
| 32.3b | (/.f64 (*.f64 (*.f64 t z) -9) (*.f64 a 2)) | |
| ▶ | 10.0b | (/.f64 (-.f64 (*.f64 x y) (*.f64 z (*.f64 t 9))) (*.f64 a 2)) |
| 38.1b | (/.f64 (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t))) (/.f64 a (/.f64 (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 t z) 9))) 2))) | |
| 30.1b | (/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 z 9) t) (*.f64 (*.f64 z 9) t))) (*.f64 (*.f64 a 2) (+.f64 (*.f64 x y) (*.f64 (*.f64 t z) 9)))) |
Compiled 1386 to 799 computations (42.4% saved)
Found 3 expressions with local error:
| 0.2b | (*.f64 z (*.f64 t 9)) |
| 0.2b | (-.f64 (*.f64 x y) (*.f64 z (*.f64 t 9))) |
| 9.4b | (/.f64 (-.f64 (*.f64 x y) (*.f64 z (*.f64 t 9))) (*.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:
| 7.0ms | (/.f64 (-.f64 (*.f64 x y) (*.f64 z (*.f64 t 9))) (*.f64 a 2)) |
| 5.0ms | (*.f64 z (*.f64 t 9)) |
| 4.0ms | (-.f64 (*.f64 x y) (*.f64 z (*.f64 t 9))) |
Compiled 1151 to 662 computations (42.5% saved)
3 calls:
| 88.0ms | (/.f64 (-.f64 (*.f64 x y) (*.f64 z (*.f64 t 9))) (*.f64 a 2)) |
| 43.0ms | (-.f64 (*.f64 x y) (*.f64 z (*.f64 t 9))) |
| 13.0ms | (*.f64 z (*.f64 t 9)) |
Compiled 1644 to 1166 computations (29.1% saved)
| 1× | egg-herbie |
| 390× | *-commutative_binary64 |
| 341× | cancel-sign-sub-inv_binary64 |
| 317× | div-sub_binary64 |
| 284× | associate-/l*_binary64 |
| 217× | times-frac_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 134 | 1782 |
| 1 | 364 | 1631 |
| 2 | 1258 | 1629 |
| 3 | 3297 | 1629 |
| 4 | 4934 | 1629 |
| 5 | 4933 | 1629 |
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 84 | 2 | 86 |
| Fresh | 2 | 8 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 87 | 11 | 98 |
| Status | Error | Program |
| ▶ | 10.0b | (-.f64 (/.f64 (*.f64 x y) (*.f64 a 2)) (*.f64 (/.f64 (*.f64 t z) a) 9/2)) |
| 33.6b | (*.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 t z) 9)) (*.f64 a 2))) (sqrt.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 t z) 9)) (*.f64 a 2)))) | |
| 10.7b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 t z) 9))) (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 t z) 9)))) a) (/.f64 (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 t z) 9))) 2)) | |
| 10.2b | (/.f64 1 (/.f64 a (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 t z) 9)) 2))) | |
| 35.5b | (exp.f64 (log.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 t z) 9)) (*.f64 a 2)))) | |
| 38.0b | (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 t t) (*.f64 (*.f64 z z) 81))) (+.f64 (*.f64 x y) (*.f64 (*.f64 t z) 9))) (*.f64 a 2)) | |
| ✓ | 10.3b | (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2)) |
| 32.3b | (/.f64 (*.f64 (*.f64 t z) -9) (*.f64 a 2)) | |
| 10.1b | (*.f64 (-.f64 (*.f64 x y) (*.f64 z (*.f64 t 9))) (/.f64 1/2 a)) | |
| 38.1b | (/.f64 (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t))) (/.f64 a (/.f64 (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 t z) 9))) 2))) | |
| 30.1b | (/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 z 9) t) (*.f64 (*.f64 z 9) t))) (*.f64 (*.f64 a 2) (+.f64 (*.f64 x y) (*.f64 (*.f64 t z) 9)))) |
Compiled 1365 to 778 computations (43% saved)
Found 4 expressions with local error:
| 0.0b | (-.f64 (/.f64 (*.f64 x y) (*.f64 a 2)) (*.f64 (/.f64 (*.f64 t z) a) 9/2)) |
| 0.2b | (*.f64 (/.f64 (*.f64 t z) a) 9/2) |
| 6.9b | (/.f64 (*.f64 x y) (*.f64 a 2)) |
| 7.4b | (/.f64 (*.f64 t z) a) |
| 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:
| 9.0ms | (*.f64 (/.f64 (*.f64 t z) a) 9/2) |
| 8.0ms | (-.f64 (/.f64 (*.f64 x y) (*.f64 a 2)) (*.f64 (/.f64 (*.f64 t z) a) 9/2)) |
| 5.0ms | (/.f64 (*.f64 x y) (*.f64 a 2)) |
| 4.0ms | (/.f64 (*.f64 t z) a) |
Compiled 1827 to 819 computations (55.2% saved)
4 calls:
| 88.0ms | (-.f64 (/.f64 (*.f64 x y) (*.f64 a 2)) (*.f64 (/.f64 (*.f64 t z) a) 9/2)) |
| 30.0ms | (*.f64 (/.f64 (*.f64 t z) a) 9/2) |
| 27.0ms | (/.f64 (*.f64 x y) (*.f64 a 2)) |
| 26.0ms | (/.f64 (*.f64 t z) a) |
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 (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 73 | 6 | 79 |
| Fresh | 6 | 3 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 80 | 10 | 90 |
| Status | Error | Program |
| ▶ | 7.8b | (-.f64 (/.f64 (*.f64 x y) (*.f64 a 2)) (*.f64 (*.f64 t (/.f64 z a)) 9/2)) |
| 33.6b | (*.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 t z) 9)) (*.f64 a 2))) (sqrt.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 t z) 9)) (*.f64 a 2)))) | |
| 10.2b | (/.f64 1 (/.f64 a (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 t z) 9)) 2))) | |
| ✓ | 10.3b | (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2)) |
| 7.8b | (-.f64 (/.f64 (*.f64 x y) (*.f64 a 2)) (*.f64 (/.f64 t 1) (*.f64 9/2 (/.f64 z a)))) | |
| 10.4b | (-.f64 (/.f64 (*.f64 x y) (*.f64 a 2)) (*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 t z) a)) (cbrt.f64 (/.f64 (*.f64 t z) a))) (*.f64 9/2 (cbrt.f64 (/.f64 (*.f64 t z) a))))) | |
| 9.0b | (-.f64 (/.f64 x (/.f64 a (/.f64 y 2))) (*.f64 (/.f64 (*.f64 t z) a) 9/2)) | |
| 25.1b | (-.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 x y) a) 3) 8)) (*.f64 (/.f64 (*.f64 t z) a) 9/2)) | |
| 38.1b | (/.f64 (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t))) (/.f64 a (/.f64 (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 t z) 9))) 2))) | |
| 10.1b | (-.f64 (*.f64 (*.f64 x y) (/.f64 1/2 a)) (*.f64 (/.f64 (*.f64 t z) a) 9/2)) |
Compiled 1156 to 621 computations (46.3% saved)
Found 4 expressions with local error:
| 0.0b | (-.f64 (/.f64 (*.f64 x y) (*.f64 a 2)) (*.f64 (*.f64 t (/.f64 z a)) 9/2)) |
| 0.2b | (*.f64 (*.f64 t (/.f64 z a)) 9/2) |
| 4.6b | (*.f64 t (/.f64 z a)) |
| 6.9b | (/.f64 (*.f64 x y) (*.f64 a 2)) |
| 1× | rewrite-expression-head |
| 30× | add-cbrt-cube_binary64 |
| 30× | add-exp-log_binary64 |
| 18× | add-sqr-sqrt_binary64 |
| 16× | associate-*r*_binary64 |
| 13× | *-un-lft-identity_binary64 |
4 calls:
| 8.0ms | (-.f64 (/.f64 (*.f64 x y) (*.f64 a 2)) (*.f64 (*.f64 t (/.f64 z a)) 9/2)) |
| 7.0ms | (*.f64 t (/.f64 z a)) |
| 6.0ms | (*.f64 (*.f64 t (/.f64 z a)) 9/2) |
| 5.0ms | (/.f64 (*.f64 x y) (*.f64 a 2)) |
Compiled 1922 to 865 computations (55% saved)
4 calls:
| 87.0ms | (-.f64 (/.f64 (*.f64 x y) (*.f64 a 2)) (*.f64 (*.f64 t (/.f64 z a)) 9/2)) |
| 26.0ms | (/.f64 (*.f64 x y) (*.f64 a 2)) |
| 26.0ms | (*.f64 (*.f64 t (/.f64 z a)) 9/2) |
| 25.0ms | (*.f64 t (/.f64 z a)) |
Compiled 1923 to 1333 computations (30.7% saved)
| 1× | egg-herbie |
| 557× | associate-/r*_binary64 |
| 270× | associate-/l/_binary64 |
| 219× | associate-*l*_binary64 |
| 199× | associate-/r/_binary64 |
| 180× | times-frac_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 1976 |
| 1 | 488 | 1870 |
| 2 | 2033 | 1870 |
| 3 | 4243 | 1870 |
| 4 | 4859 | 1870 |
| 5 | 4941 | 1870 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 89 | 2 | 91 |
| Fresh | 2 | 6 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 92 | 9 | 101 |
| Status | Error | Program |
| 33.6b | (*.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 t z) 9)) (*.f64 a 2))) (sqrt.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 t z) 9)) (*.f64 a 2)))) | |
| 5.6b | (-.f64 (/.f64 x (/.f64 a (/.f64 y 2))) (*.f64 (*.f64 t (/.f64 z a)) 9/2)) | |
| 10.2b | (/.f64 1 (/.f64 a (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 t z) 9)) 2))) | |
| 7.8b | (-.f64 (/.f64 (*.f64 x y) (*.f64 a 2)) (*.f64 t (*.f64 9/2 (/.f64 z a)))) | |
| 10.3b | (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2)) | |
| 10.4b | (-.f64 (/.f64 (*.f64 x y) (*.f64 a 2)) (*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 t z) a)) (cbrt.f64 (/.f64 (*.f64 t z) a))) (*.f64 9/2 (cbrt.f64 (/.f64 (*.f64 t z) a))))) | |
| 25.1b | (-.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 x y) a) 3) 8)) (*.f64 (/.f64 (*.f64 t z) a) 9/2)) | |
| 38.1b | (/.f64 (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t))) (/.f64 a (/.f64 (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 t z) 9))) 2))) | |
| 10.1b | (-.f64 (*.f64 (*.f64 x y) (/.f64 1/2 a)) (*.f64 (/.f64 (*.f64 t z) a) 9/2)) |
Compiled 1102 to 553 computations (49.8% saved)
Total 1.1b remaining (95.7%)
Threshold costs 0b (0%)
Compiled 36025 to 24380 computations (32.3% saved)
Compiled 14 to 10 computations (28.6% saved)
| 1× | egg-herbie |
| 19× | *-commutative_binary64 |
| 14× | +-commutative_binary64 |
| 14× | sub-neg_binary64 |
| 12× | distribute-rgt-neg-in_binary64 |
| 10× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 102 |
| 1 | 62 | 102 |
| 2 | 105 | 102 |
| 3 | 127 | 102 |
| 4 | 141 | 102 |
| 5 | 145 | 102 |
| 6 | 143 | 102 |
Compiled 370 to 220 computations (40.5% saved)
| 1× | intervals |
| 336.0ms | 8000× | body | 128 | valid |
| 131.0ms | 3091× | body | 128 | invalid |
Compiled 318 to 209 computations (34.3% saved)
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