Time bar (total: 1.2min)
| 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% | 81.1% | 18.9% | 7 |
| 0% | 74.8% | 25.2% | 8 |
| 0% | 70.1% | 29.9% | 9 |
| 0% | 70.1% | 29.9% | 10 |
| 0% | 70.1% | 29.9% | 11 |
| 0% | 64.7% | 35.3% | 12 |
Compiled 41 to 32 computations (22% saved)
| 8.9s | 25656× | body | 256 | invalid |
| 3.1s | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 798× | distribute-neg-frac_binary64 |
| 778× | associate-*r/_binary64 |
| 664× | fma-def_binary64 |
| 452× | *-commutative_binary64 |
| 271× | cancel-sign-sub-inv_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 122 | 451 |
| 1 | 419 | 451 |
| 2 | 1543 | 429 |
| 3 | 5311 | 429 |
| 0 | 5 | 5 |
| 1 | 5 | 5 |
| 1× | unsound |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
3 |
4 |
| Outputs |
|---|
0 |
1 |
2 |
3 |
4 |
3 |
| Inputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 h d) (/.f64 1 2)) (pow.f64 (/.f64 h l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 h)) 2)) (/.f64 d l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 l h) (/.f64 1 2)) (pow.f64 (/.f64 l d) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 l)) 2)) (/.f64 h d)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 M h) (/.f64 1 2)) (pow.f64 (/.f64 M l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 d D) (*.f64 2 M)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 D h) (/.f64 1 2)) (pow.f64 (/.f64 D l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M d) (*.f64 2 D)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d l) (/.f64 1 2)) (pow.f64 (/.f64 d h) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 l h)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d M) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 h D) (*.f64 2 d)) 2)) (/.f64 M l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d D) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M h) (*.f64 2 d)) 2)) (/.f64 D l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d M) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 l D) (*.f64 2 d)) 2)) (/.f64 h M)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d D) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M l) (*.f64 2 d)) 2)) (/.f64 h D)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 D M) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 (/.f64 D 2) (/.f64 M d)) 2) (/.f64 h l)))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 D 2) (/.f64 M d)) 2) -1/2))))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 -1/2 (*.f64 (pow.f64 (/.f64 M (*.f64 d (/.f64 2 D))) 2) (/.f64 h l)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (*.f64 (pow.f64 (/.f64 M (*.f64 d (/.f64 2 D))) 2) (/.f64 h l)) -1/2 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 h d) (/.f64 1 2)) (pow.f64 (/.f64 h l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 h)) 2)) (/.f64 d l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 h d)) (sqrt.f64 (/.f64 h l))) (-.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 h 2)) 2) (/.f64 d l))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 h d)) (sqrt.f64 (/.f64 h l))) (+.f64 1 (*.f64 (/.f64 d l) (*.f64 (pow.f64 (/.f64 M (/.f64 h (/.f64 D 2))) 2) -1/2)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 h d)) (sqrt.f64 (/.f64 h l))) (fma.f64 (/.f64 d l) (*.f64 (pow.f64 (*.f64 D (/.f64 M (*.f64 h 2))) 2) -1/2) 1)) |
(*.f64 (*.f64 (pow.f64 (/.f64 l h) (/.f64 1 2)) (pow.f64 (/.f64 l d) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 l)) 2)) (/.f64 h d)))) |
(*.f64 (sqrt.f64 (/.f64 l h)) (*.f64 (sqrt.f64 (/.f64 l d)) (-.f64 1 (*.f64 (/.f64 h d) (*.f64 1/2 (pow.f64 (/.f64 M (/.f64 (*.f64 2 l) D)) 2)))))) |
(*.f64 (sqrt.f64 (/.f64 l h)) (*.f64 (sqrt.f64 (/.f64 l d)) (-.f64 1 (*.f64 (pow.f64 (*.f64 (/.f64 D l) (/.f64 M 2)) 2) (*.f64 1/2 (/.f64 h d)))))) |
(*.f64 (sqrt.f64 (/.f64 l d)) (*.f64 (sqrt.f64 (/.f64 l h)) (fma.f64 (/.f64 h d) (*.f64 (pow.f64 (/.f64 (/.f64 M (/.f64 2 D)) l) 2) -1/2) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 M h) (/.f64 1 2)) (pow.f64 (/.f64 M l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 d D) (*.f64 2 M)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 M h)) (sqrt.f64 (/.f64 M l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (/.f64 d 2) (/.f64 D M)) 2))))) |
(*.f64 (sqrt.f64 (/.f64 M l)) (*.f64 (sqrt.f64 (/.f64 M h)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 d M) (/.f64 D 2)) 2) -1/2))))) |
(*.f64 (sqrt.f64 (/.f64 M h)) (*.f64 (sqrt.f64 (/.f64 M l)) (fma.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 D (/.f64 d (*.f64 2 M))) 2) -1/2) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 D h) (/.f64 1 2)) (pow.f64 (/.f64 D l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M d) (*.f64 2 D)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 D h)) (sqrt.f64 (/.f64 D l))) (-.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 d D)) 2) (/.f64 h l))))) |
(*.f64 (sqrt.f64 (/.f64 D l)) (*.f64 (sqrt.f64 (/.f64 D h)) (+.f64 1 (*.f64 -1/2 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 d D) (/.f64 M 2)) 2)))))) |
(*.f64 (sqrt.f64 (/.f64 D l)) (*.f64 (sqrt.f64 (/.f64 D h)) (fma.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 d (/.f64 M (*.f64 2 D))) 2) -1/2) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d l) (/.f64 1 2)) (pow.f64 (/.f64 d h) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 l h)))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d h)) (-.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 (/.f64 D 2) (/.f64 M d)) 2) (/.f64 l h)))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 (/.f64 D 2) (/.f64 M d)) 2) (/.f64 l h)))))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 -1/2 (*.f64 (pow.f64 (/.f64 M (*.f64 d (/.f64 2 D))) 2) (/.f64 l h)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (*.f64 (pow.f64 (/.f64 M (*.f64 d (/.f64 2 D))) 2) (/.f64 l h)) -1/2 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d M) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 h D) (*.f64 2 d)) 2)) (/.f64 M l)))) |
(*.f64 (sqrt.f64 (/.f64 d M)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 1 (*.f64 (/.f64 M l) (*.f64 1/2 (pow.f64 (*.f64 (/.f64 h 2) (/.f64 D d)) 2)))))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d M)) (-.f64 1 (*.f64 (*.f64 (/.f64 M l) 1/2) (pow.f64 (*.f64 (/.f64 h 2) (/.f64 D d)) 2))))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d M)) (fma.f64 (/.f64 M l) (*.f64 (pow.f64 (*.f64 D (/.f64 (/.f64 h d) 2)) 2) -1/2) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d D) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M h) (*.f64 2 d)) 2)) (/.f64 D l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d D))) (-.f64 1 (*.f64 (/.f64 D l) (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 h d)) 2))))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d D)) (+.f64 1 (*.f64 -1/2 (*.f64 (/.f64 D l) (pow.f64 (*.f64 (/.f64 h d) (/.f64 M 2)) 2)))))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d D)) (fma.f64 (/.f64 D l) (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 h d) 2) M) 2) -1/2) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d M) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 l D) (*.f64 2 d)) 2)) (/.f64 h M)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d M)) (-.f64 1 (*.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 l 2) (/.f64 D d)) 2)) (/.f64 h M))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d M)) (+.f64 1 (*.f64 (/.f64 h M) (*.f64 (pow.f64 (*.f64 (/.f64 l d) (/.f64 D 2)) 2) -1/2))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d M)) (fma.f64 (/.f64 h M) (*.f64 (pow.f64 (*.f64 (/.f64 l d) (/.f64 D 2)) 2) -1/2) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d D) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M l) (*.f64 2 d)) 2)) (/.f64 h D)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d D))) (-.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 l d)) 2) (/.f64 h D))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d D))) (+.f64 1 (*.f64 (/.f64 h D) (*.f64 (pow.f64 (*.f64 (/.f64 l d) (/.f64 M 2)) 2) -1/2)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d D)) (fma.f64 (/.f64 h D) (*.f64 (pow.f64 (/.f64 l (*.f64 (/.f64 d M) 2)) 2) -1/2) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 D M) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 (/.f64 D 2) (/.f64 M d)) 2) (/.f64 h l)))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 D 2) (/.f64 M d)) 2) -1/2))))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 -1/2 (*.f64 (pow.f64 (/.f64 M (*.f64 d (/.f64 2 D))) 2) (/.f64 h l)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (*.f64 (pow.f64 (/.f64 M (*.f64 d (/.f64 2 D))) 2) (/.f64 h l)) -1/2 1))) |
(sort M D)
Compiled 45 to 36 computations (20% saved)
| 1× | egg-herbie |
| 735× | distribute-rgt-neg-in_binary64 |
| 679× | distribute-neg-frac_binary64 |
| 466× | fma-def_binary64 |
| 425× | associate-/l*_binary64 |
| 389× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 41 |
| 1 | 62 | 41 |
| 2 | 195 | 39 |
| 3 | 1301 | 39 |
| 4 | 5063 | 39 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (/.f64 h l))))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d h)) (-.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (/.f64 h l)))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 h l) (*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 D 2) M) d) 2) -1/2) 1))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (pow.f64 (*.f64 D (/.f64 M (*.f64 d 2))) 2) (*.f64 (/.f64 h l) -1/2) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
Compiled 66 to 45 computations (31.8% saved)
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 |
|---|---|---|
| ▶ | 25.8b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| ▶ | 26.4b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
Compiled 71 to 53 computations (25.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 5.9b | (/.f64 (/.f64 D d) (/.f64 2 M)) |
| ✓ | 9.7b | (sqrt.f64 (/.f64 d h)) |
| ✓ | 10.9b | (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1) |
| ✓ | 12.4b | (sqrt.f64 (/.f64 d l)) |
Compiled 120 to 56 computations (53.3% saved)
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | D | @ | inf | (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1) |
| 3.0ms | d | @ | 0 | (/.f64 (/.f64 D d) (/.f64 2 M)) |
| 2.0ms | D | @ | 0 | (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1) |
| 2.0ms | M | @ | inf | (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1) |
| 1.0ms | d | @ | 0 | (sqrt.f64 (/.f64 d l)) |
| 1× | batch-egg-rewrite |
| 370× | log-div_binary64 |
| 366× | log1p-udef_binary64 |
| 365× | expm1-udef_binary64 |
| 318× | log-pow_binary64 |
| 211× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 45 |
| 1 | 433 | 45 |
| 2 | 5737 | 45 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 d l)) |
(fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 (/.f64 D d) (/.f64 2 M)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1461× | associate-/l/_binary64 |
| 1317× | associate-/r/_binary64 |
| 680× | unswap-sqr_binary64 |
| 355× | *-commutative_binary64 |
| 215× | times-frac_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 1827 |
| 1 | 85 | 1737 |
| 2 | 259 | 1737 |
| 3 | 1587 | 1737 |
| 4 | 3508 | 1737 |
| 5 | 3883 | 1737 |
| 6 | 4994 | 1737 |
| 7 | 5076 | 1737 |
| 8 | 5175 | 1737 |
| 9 | 5301 | 1737 |
| 10 | 7264 | 1737 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l)))) |
(*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l)))) |
(*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l)))) |
(*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2))))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2))))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2))))) |
1 |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2))))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2))))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2))))) |
1 |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2))))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2))))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2))))) |
1 |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l)))) |
(*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l)))) |
(*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l)))) |
1 |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l)))) |
(*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l)))) |
(*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l)))) |
(*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l)))) |
1 |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l)))) |
1 |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l)))) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 h (*.f64 M M)) l)))) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 h (/.f64 l (*.f64 M M)))) 1) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (/.f64 M (/.f64 l M)) h)) 1) |
(fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (*.f64 D h)) (*.f64 (/.f64 -1/8 (/.f64 l M)) M) 1) |
(fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 h (*.f64 M M)) l)))) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 h (/.f64 l (*.f64 M M)))) 1) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (/.f64 M (/.f64 l M)) h)) 1) |
(fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (*.f64 D h)) (*.f64 (/.f64 -1/8 (/.f64 l M)) M) 1) |
(fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 h (*.f64 M M)) l)))) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 h (/.f64 l (*.f64 M M)))) 1) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (/.f64 M (/.f64 l M)) h)) 1) |
(fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (*.f64 D h)) (*.f64 (/.f64 -1/8 (/.f64 l M)) M) 1) |
(fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1) |
(*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 h (*.f64 M M)) l))) |
(*.f64 (/.f64 -1/8 l) (*.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) d) (/.f64 h d))) |
(*.f64 -1/8 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (/.f64 M (/.f64 l M)) h))) |
(*.f64 -1/8 (*.f64 D (*.f64 (/.f64 D (*.f64 (/.f64 d h) (*.f64 d l))) (*.f64 M M)))) |
(*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 h (*.f64 M M)) l)))) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 h (/.f64 l (*.f64 M M)))) 1) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (/.f64 M (/.f64 l M)) h)) 1) |
(fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (*.f64 D h)) (*.f64 (/.f64 -1/8 (/.f64 l M)) M) 1) |
(fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 h (*.f64 M M)) l)))) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 h (/.f64 l (*.f64 M M)))) 1) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (/.f64 M (/.f64 l M)) h)) 1) |
(fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (*.f64 D h)) (*.f64 (/.f64 -1/8 (/.f64 l M)) M) 1) |
(fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 h (*.f64 M M)) l)))) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 h (/.f64 l (*.f64 M M)))) 1) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (/.f64 M (/.f64 l M)) h)) 1) |
(fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (*.f64 D h)) (*.f64 (/.f64 -1/8 (/.f64 l M)) M) 1) |
(fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1) |
(*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 h (*.f64 M M)) l))) |
(*.f64 (/.f64 -1/8 l) (*.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) d) (/.f64 h d))) |
(*.f64 -1/8 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (/.f64 M (/.f64 l M)) h))) |
(*.f64 -1/8 (*.f64 D (*.f64 (/.f64 D (*.f64 (/.f64 d h) (*.f64 d l))) (*.f64 M M)))) |
(*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 h (*.f64 M M)) l)))) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 h (/.f64 l (*.f64 M M)))) 1) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (/.f64 M (/.f64 l M)) h)) 1) |
(fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (*.f64 D h)) (*.f64 (/.f64 -1/8 (/.f64 l M)) M) 1) |
(fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 h (*.f64 M M)) l)))) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 h (/.f64 l (*.f64 M M)))) 1) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (/.f64 M (/.f64 l M)) h)) 1) |
(fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (*.f64 D h)) (*.f64 (/.f64 -1/8 (/.f64 l M)) M) 1) |
(fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 (pow.f64 d 2) l)))) |
(+.f64 1 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 h (*.f64 M M)) l)))) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 h (/.f64 l (*.f64 M M)))) 1) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (/.f64 M (/.f64 l M)) h)) 1) |
(fma.f64 (*.f64 (/.f64 D (*.f64 d d)) (*.f64 D h)) (*.f64 (/.f64 -1/8 (/.f64 l M)) M) 1) |
(fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1) |
(*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 h (*.f64 M M)) l))) |
(*.f64 (/.f64 -1/8 l) (*.f64 (/.f64 (*.f64 D (*.f64 D (*.f64 M M))) d) (/.f64 h d))) |
(*.f64 -1/8 (*.f64 (*.f64 (/.f64 D (*.f64 d d)) D) (*.f64 (/.f64 M (/.f64 l M)) h))) |
(*.f64 -1/8 (*.f64 D (*.f64 (/.f64 D (*.f64 (/.f64 d h) (*.f64 d l))) (*.f64 M M)))) |
(*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)) |
(+.f64 1 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2))))) |
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(/.f64 (*.f64 D M) (/.f64 d 1/2)) |
(*.f64 M (/.f64 (*.f64 D 1/2) d)) |
(*.f64 1/2 (*.f64 D (/.f64 M d))) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 D (/.f64 d M))) |
(/.f64 (*.f64 D M) (/.f64 d 1/2)) |
(*.f64 M (/.f64 (*.f64 D 1/2) d)) |
(*.f64 1/2 (*.f64 D (/.f64 M d))) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 D (/.f64 d M))) |
(/.f64 (*.f64 D M) (/.f64 d 1/2)) |
(*.f64 M (/.f64 (*.f64 D 1/2) d)) |
(*.f64 1/2 (*.f64 D (/.f64 M d))) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 D (/.f64 d M))) |
(/.f64 (*.f64 D M) (/.f64 d 1/2)) |
(*.f64 M (/.f64 (*.f64 D 1/2) d)) |
(*.f64 1/2 (*.f64 D (/.f64 M d))) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 D (/.f64 d M))) |
(/.f64 (*.f64 D M) (/.f64 d 1/2)) |
(*.f64 M (/.f64 (*.f64 D 1/2) d)) |
(*.f64 1/2 (*.f64 D (/.f64 M d))) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 D (/.f64 d M))) |
(/.f64 (*.f64 D M) (/.f64 d 1/2)) |
(*.f64 M (/.f64 (*.f64 D 1/2) d)) |
(*.f64 1/2 (*.f64 D (/.f64 M d))) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 D (/.f64 d M))) |
(/.f64 (*.f64 D M) (/.f64 d 1/2)) |
(*.f64 M (/.f64 (*.f64 D 1/2) d)) |
(*.f64 1/2 (*.f64 D (/.f64 M d))) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 D (/.f64 d M))) |
(/.f64 (*.f64 D M) (/.f64 d 1/2)) |
(*.f64 M (/.f64 (*.f64 D 1/2) d)) |
(*.f64 1/2 (*.f64 D (/.f64 M d))) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 D (/.f64 d M))) |
(/.f64 (*.f64 D M) (/.f64 d 1/2)) |
(*.f64 M (/.f64 (*.f64 D 1/2) d)) |
(*.f64 1/2 (*.f64 D (/.f64 M d))) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 D (/.f64 d M))) |
(/.f64 (*.f64 D M) (/.f64 d 1/2)) |
(*.f64 M (/.f64 (*.f64 D 1/2) d)) |
(*.f64 1/2 (*.f64 D (/.f64 M d))) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 D (/.f64 d M))) |
(/.f64 (*.f64 D M) (/.f64 d 1/2)) |
(*.f64 M (/.f64 (*.f64 D 1/2) d)) |
(*.f64 1/2 (*.f64 D (/.f64 M d))) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 D (/.f64 d M))) |
(/.f64 (*.f64 D M) (/.f64 d 1/2)) |
(*.f64 M (/.f64 (*.f64 D 1/2) d)) |
(*.f64 1/2 (*.f64 D (/.f64 M d))) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 D (/.f64 d M))) |
(/.f64 (*.f64 D M) (/.f64 d 1/2)) |
(*.f64 M (/.f64 (*.f64 D 1/2) d)) |
(*.f64 1/2 (*.f64 D (/.f64 M d))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 6.9b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| ✓ | 9.7b | (pow.f64 (/.f64 d h) (/.f64 1 2)) |
| ✓ | 12.4b | (pow.f64 (/.f64 d l) (/.f64 1 2)) |
| ✓ | 13.7b | (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)) |
Compiled 159 to 94 computations (40.9% saved)
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | h | @ | inf | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 9.0ms | M | @ | 0 | (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)) |
| 5.0ms | d | @ | 0 | (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)) |
| 3.0ms | D | @ | 0 | (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)) |
| 2.0ms | h | @ | 0 | (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)) |
| 1× | batch-egg-rewrite |
| 785× | prod-diff_binary64 |
| 249× | add-sqr-sqrt_binary64 |
| 246× | pow1_binary64 |
| 243× | *-un-lft-identity_binary64 |
| 232× | add-log-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 74 |
| 1 | 512 | 73 |
| 2 | 6918 | 73 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)) |
(pow.f64 (/.f64 d l) (/.f64 1 2)) |
(pow.f64 (/.f64 d h) (/.f64 1 2)) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 (/.f64 h l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 l (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h))) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) 1) l)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) (sqrt.f64 l)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 h) (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2))) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2)) (neg.f64 h)) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 (/.f64 h l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 (/.f64 h l)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 (/.f64 h l))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 h l) 2) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 4) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 h l)) (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 (/.f64 h l))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 (/.f64 h l))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 (/.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 (/.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 (/.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 (/.f64 h l)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 d l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 d l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 d l)) (cbrt.f64 (sqrt.f64 (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 d l))) (cbrt.f64 (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 d) (pow.f64 (/.f64 1 l) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 d l) 1/4) (pow.f64 (/.f64 d l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 d l)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 d l)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 d l)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 l d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 d) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 d l))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 d l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 d l) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 d l))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 d h)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 d h)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 d h)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 d h))) (cbrt.f64 (/.f64 d h)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 d h)) (cbrt.f64 (sqrt.f64 (/.f64 d h))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 h)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 d) (pow.f64 (/.f64 1 h) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 d h) 1/4) (pow.f64 (/.f64 d h) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 d h)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 d h))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 d h)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 d h)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 d h)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 h d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 d) (sqrt.f64 h))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 d h))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 d h)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 d h))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 d h)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 d h) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 d h))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 d h))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 d h))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 d h))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (*.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)) (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 (/.f64 h l))) 3)) (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d))))) (+.f64 1 (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 (/.f64 h l))) (*.f64 (pow.f64 (/.f64 h l) 2) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 4) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 h l) 2) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 4) 1/4))) (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d))))) (+.f64 1 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 (/.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (-.f64 1 (pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 (/.f64 h l))) 3))) (+.f64 1 (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 (/.f64 h l))) (*.f64 (pow.f64 (/.f64 h l) 2) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 4) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (-.f64 1 (*.f64 (pow.f64 (/.f64 h l) 2) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 4) 1/4)))) (+.f64 1 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 (/.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))) 2) (/.f64 d (*.f64 h (/.f64 l d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d))))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) 3) (pow.f64 (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))) 3) (pow.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))) (log.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))) (log.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))))) 1)))))) |
| 1× | egg-herbie |
| 1717× | associate-/r/_binary64 |
| 1254× | associate-/l/_binary64 |
| 876× | unswap-sqr_binary64 |
| 401× | *-commutative_binary64 |
| 224× | sqr-pow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 2736 |
| 1 | 107 | 2736 |
| 2 | 318 | 2736 |
| 3 | 1921 | 2736 |
| 4 | 4226 | 2736 |
| 5 | 4563 | 2736 |
| 6 | 4640 | 2736 |
| 7 | 4738 | 2736 |
| 8 | 4852 | 2736 |
| 9 | 4989 | 2736 |
| 10 | 7474 | 2736 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 h (pow.f64 M 2))) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 (pow.f64 d 2) l))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h)))) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h)))) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h)))) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h)))) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h)))) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h)))) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
| Outputs |
|---|
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) h) l))) |
(*.f64 (/.f64 1/8 (*.f64 d d)) (/.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) l)) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (*.f64 1/8 (/.f64 (*.f64 M M) (/.f64 l h)))) |
(*.f64 1/8 (*.f64 D (*.f64 (/.f64 D l) (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M))))) |
(*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) h) l))) |
(*.f64 (/.f64 1/8 (*.f64 d d)) (/.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) l)) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (*.f64 1/8 (/.f64 (*.f64 M M) (/.f64 l h)))) |
(*.f64 1/8 (*.f64 D (*.f64 (/.f64 D l) (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M))))) |
(*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) h) l))) |
(*.f64 (/.f64 1/8 (*.f64 d d)) (/.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) l)) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (*.f64 1/8 (/.f64 (*.f64 M M) (/.f64 l h)))) |
(*.f64 1/8 (*.f64 D (*.f64 (/.f64 D l) (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M))))) |
(*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) h) l))) |
(*.f64 (/.f64 1/8 (*.f64 d d)) (/.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) l)) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (*.f64 1/8 (/.f64 (*.f64 M M) (/.f64 l h)))) |
(*.f64 1/8 (*.f64 D (*.f64 (/.f64 D l) (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M))))) |
(*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) h) l))) |
(*.f64 (/.f64 1/8 (*.f64 d d)) (/.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) l)) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (*.f64 1/8 (/.f64 (*.f64 M M) (/.f64 l h)))) |
(*.f64 1/8 (*.f64 D (*.f64 (/.f64 D l) (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M))))) |
(*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) h) l))) |
(*.f64 (/.f64 1/8 (*.f64 d d)) (/.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) l)) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (*.f64 1/8 (/.f64 (*.f64 M M) (/.f64 l h)))) |
(*.f64 1/8 (*.f64 D (*.f64 (/.f64 D l) (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M))))) |
(*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) h) l))) |
(*.f64 (/.f64 1/8 (*.f64 d d)) (/.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) l)) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (*.f64 1/8 (/.f64 (*.f64 M M) (/.f64 l h)))) |
(*.f64 1/8 (*.f64 D (*.f64 (/.f64 D l) (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M))))) |
(*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) h) l))) |
(*.f64 (/.f64 1/8 (*.f64 d d)) (/.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) l)) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (*.f64 1/8 (/.f64 (*.f64 M M) (/.f64 l h)))) |
(*.f64 1/8 (*.f64 D (*.f64 (/.f64 D l) (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M))))) |
(*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) h) l))) |
(*.f64 (/.f64 1/8 (*.f64 d d)) (/.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) l)) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (*.f64 1/8 (/.f64 (*.f64 M M) (/.f64 l h)))) |
(*.f64 1/8 (*.f64 D (*.f64 (/.f64 D l) (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M))))) |
(*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) h) l))) |
(*.f64 (/.f64 1/8 (*.f64 d d)) (/.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) l)) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (*.f64 1/8 (/.f64 (*.f64 M M) (/.f64 l h)))) |
(*.f64 1/8 (*.f64 D (*.f64 (/.f64 D l) (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M))))) |
(*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) h) l))) |
(*.f64 (/.f64 1/8 (*.f64 d d)) (/.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) l)) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (*.f64 1/8 (/.f64 (*.f64 M M) (/.f64 l h)))) |
(*.f64 1/8 (*.f64 D (*.f64 (/.f64 D l) (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M))))) |
(*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) h) l))) |
(*.f64 (/.f64 1/8 (*.f64 d d)) (/.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) l)) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (*.f64 1/8 (/.f64 (*.f64 M M) (/.f64 l h)))) |
(*.f64 1/8 (*.f64 D (*.f64 (/.f64 D l) (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M))))) |
(*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) h) l))) |
(*.f64 (/.f64 1/8 (*.f64 d d)) (/.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) l)) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (*.f64 1/8 (/.f64 (*.f64 M M) (/.f64 l h)))) |
(*.f64 1/8 (*.f64 D (*.f64 (/.f64 D l) (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M))))) |
(*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) h) l))) |
(*.f64 (/.f64 1/8 (*.f64 d d)) (/.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) l)) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (*.f64 1/8 (/.f64 (*.f64 M M) (/.f64 l h)))) |
(*.f64 1/8 (*.f64 D (*.f64 (/.f64 D l) (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M))))) |
(*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) h) l))) |
(*.f64 (/.f64 1/8 (*.f64 d d)) (/.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) l)) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (*.f64 1/8 (/.f64 (*.f64 M M) (/.f64 l h)))) |
(*.f64 1/8 (*.f64 D (*.f64 (/.f64 D l) (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M))))) |
(*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) h) l))) |
(*.f64 (/.f64 1/8 (*.f64 d d)) (/.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) l)) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (*.f64 1/8 (/.f64 (*.f64 M M) (/.f64 l h)))) |
(*.f64 1/8 (*.f64 D (*.f64 (/.f64 D l) (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M))))) |
(*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) h) l))) |
(*.f64 (/.f64 1/8 (*.f64 d d)) (/.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) l)) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (*.f64 1/8 (/.f64 (*.f64 M M) (/.f64 l h)))) |
(*.f64 1/8 (*.f64 D (*.f64 (/.f64 D l) (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M))))) |
(*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (*.f64 l (pow.f64 d 2)))) |
(*.f64 1/8 (*.f64 (/.f64 (*.f64 D D) (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) h) l))) |
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(fma.f64 (*.f64 M M) (*.f64 (/.f64 D (/.f64 d D)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) -1/8))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 -1/8 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 D M) (/.f64 d (*.f64 D M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 (*.f64 M M) (*.f64 (/.f64 D (/.f64 d D)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) -1/8)) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 -1/8 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 D M) (/.f64 d (*.f64 D M))) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (*.f64 D (*.f64 (/.f64 D (/.f64 d M)) M)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h)))) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) -1/8))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 -1/8 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 D M) (/.f64 d (*.f64 D M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 (*.f64 M M) (*.f64 (/.f64 D (/.f64 d D)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(+.f64 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h)))) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) -1/8))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 -1/8 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 D M) (/.f64 d (*.f64 D M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 (*.f64 M M) (*.f64 (/.f64 D (/.f64 d D)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(+.f64 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h)))) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) -1/8))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 -1/8 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 D M) (/.f64 d (*.f64 D M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 (*.f64 M M) (*.f64 (/.f64 D (/.f64 d D)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) -1/8)) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 -1/8 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 D M) (/.f64 d (*.f64 D M))) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (*.f64 D (*.f64 (/.f64 D (/.f64 d M)) M)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h)))) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) -1/8))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 -1/8 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 D M) (/.f64 d (*.f64 D M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 (*.f64 M M) (*.f64 (/.f64 D (/.f64 d D)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(+.f64 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h)))) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) -1/8))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 -1/8 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 D M) (/.f64 d (*.f64 D M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 (*.f64 M M) (*.f64 (/.f64 D (/.f64 d D)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(+.f64 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h)))) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) -1/8))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 -1/8 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 D M) (/.f64 d (*.f64 D M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 (*.f64 M M) (*.f64 (/.f64 D (/.f64 d D)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
Compiled 7999 to 4160 computations (48% saved)
32 alts after pruning (32 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 218 | 32 | 250 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 220 | 32 | 252 |
| Status | Error | Program |
|---|---|---|
| 58.5b | (*.f64 (*.f64 D (*.f64 (/.f64 D (/.f64 d M)) M)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) | |
| 26.3b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) | |
| 25.9b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (pow.f64 (/.f64 d l) 1/4) (pow.f64 (/.f64 d l) 1/4))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) | |
| 59.9b | (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) | |
| 33.5b | (pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 1) | |
| 47.1b | (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) | |
| ▶ | 46.1b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 25.3b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) | |
| 33.4b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (cbrt.f64 (pow.f64 (/.f64 d l) 3/2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) | |
| 33.7b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) | |
| 26.4b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1)) 3))) | |
| 26.8b | (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 d h))) 3) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) | |
| 57.6b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) | |
| 26.2b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) | |
| ▶ | 26.3b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
| ▶ | 25.8b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 25.6b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h)))) | |
| 26.3b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1))) | |
| 40.0b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) | |
| 32.5b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) | |
| 47.1b | (*.f64 (*.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) | |
| 46.2b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) | |
| 40.6b | (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 3)) | |
| 25.8b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) | |
| 38.0b | (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) | |
| ▶ | 24.4b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
| 59.5b | (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d))))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))) | |
| ▶ | 46.7b | (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
| 31.3b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) | |
| 53.2b | (fma.f64 (*.f64 M M) (*.f64 (/.f64 D (/.f64 d D)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) | |
| 39.5b | (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))) 2) | |
| 38.6b | (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
Compiled 2186 to 1618 computations (26% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 6.9b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
| 9.7b | (pow.f64 (/.f64 d h) (/.f64 1 2)) | |
| 12.4b | (pow.f64 (/.f64 d l) (/.f64 1 2)) | |
| ✓ | 15.3b | (sqrt.f64 (/.f64 h l)) |
Compiled 169 to 94 computations (44.4% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 54.0ms | l | @ | -inf | (sqrt.f64 (/.f64 h l)) |
| 53.0ms | l | @ | 0 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
| 30.0ms | h | @ | -inf | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
| 13.0ms | h | @ | inf | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
| 11.0ms | h | @ | 0 | (sqrt.f64 (/.f64 h l)) |
| 1× | batch-egg-rewrite |
| 416× | prod-diff_binary64 |
| 267× | add-sqr-sqrt_binary64 |
| 263× | pow1_binary64 |
| 260× | *-un-lft-identity_binary64 |
| 248× | add-log-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 50 |
| 1 | 556 | 45 |
| 2 | 7349 | 45 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 h l)) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 h l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 h l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 h l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 h l))) (cbrt.f64 (/.f64 h l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 h l)) (cbrt.f64 (sqrt.f64 (/.f64 h l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 h l) 1/4) (pow.f64 (/.f64 h l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 h) (sqrt.f64 (/.f64 1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 h) (pow.f64 (/.f64 1 l) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 h) (/.f64 1 (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 h l)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 h l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 h l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 h l)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 h l)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 l h)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 l) (sqrt.f64 h)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 h) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 h l) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 h l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 h l) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 h l))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 h l) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 h l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 h l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 h l) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 h l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 h l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 h l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 h l)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 h l))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (*.f64 (*.f64 (/.f64 h l) (neg.f64 (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2)))) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (*.f64 (/.f64 h l) (neg.f64 (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2))) 3)) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) (+.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2))) 2)) (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2))) 2)) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (pow.f64 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2))) 3))) (+.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2))) 2)) (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (pow.f64 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2))) 2))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (/.f64 d h) (/.f64 d l)) (pow.f64 (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) 3) (pow.f64 (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2)))) 3) (pow.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2)))))) 1)))))) |
| 1× | egg-herbie |
| 1446× | associate-*l/_binary64 |
| 724× | unswap-sqr_binary64 |
| 553× | associate-*r/_binary64 |
| 508× | associate-/l*_binary64 |
| 411× | associate-/r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 1492 |
| 1 | 87 | 1236 |
| 2 | 239 | 1236 |
| 3 | 1128 | 1236 |
| 4 | 4131 | 1236 |
| 5 | 6900 | 1236 |
| 6 | 6971 | 1236 |
| 7 | 7063 | 1236 |
| 8 | 7170 | 1236 |
| 9 | 7296 | 1236 |
| 10 | 7463 | 1236 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h)))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h)))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
| Outputs |
|---|
(*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 -1/4 (*.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M)))) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (/.f64 -1/8 (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M))))) |
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(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M)))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (/.f64 -1/8 (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M)))))) |
(fma.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 (/.f64 d (*.f64 M M))) (*.f64 D D)) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (*.f64 D D) (/.f64 -1/8 (/.f64 d (*.f64 M M)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (*.f64 D D) (/.f64 (*.f64 -1/8 M) (/.f64 d M))))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
| ✓ | 0.8b | (/.f64 1 (*.f64 l h)) |
| ✓ | 15.2b | (sqrt.f64 (/.f64 1 (*.f64 l h))) |
Compiled 31 to 16 computations (48.4% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | l | @ | -inf | (sqrt.f64 (/.f64 1 (*.f64 l h))) |
| 1.0ms | d | @ | 0 | (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
| 1.0ms | l | @ | -inf | (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
| 1.0ms | h | @ | -inf | (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
| 1.0ms | l | @ | 0 | (sqrt.f64 (/.f64 1 (*.f64 l h))) |
| 1× | batch-egg-rewrite |
| 811× | pow1_binary64 |
| 746× | add-log-exp_binary64 |
| 746× | log1p-expm1-u_binary64 |
| 746× | expm1-log1p-u_binary64 |
| 727× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 1 | 179 | 23 |
| 2 | 2130 | 23 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 1 (*.f64 l h))) |
(/.f64 1 (*.f64 l h)) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 l h) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l h) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 l h))) (cbrt.f64 (pow.f64 (*.f64 l h) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 l h) -1/2)) (/.f64 1 (cbrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 l h) -1/2)) (sqrt.f64 (pow.f64 (*.f64 l h) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 l h) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (pow.f64 (*.f64 l h) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 l h) -2)) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 l h))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 l h)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (*.f64 l h)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sqrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 h (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l h) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 l) h) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l h) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 l h) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 l h)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (*.f64 l h) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (*.f64 l h) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 l h) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 l h) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 l h) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 l h) -1/2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (/.f64 1 l) h)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 1 l) h))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 l) h) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l h) -1/2) (pow.f64 (*.f64 l h) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 l h))) (cbrt.f64 (pow.f64 (*.f64 l h) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 l h))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 l h) -1/2)) (pow.f64 (*.f64 l h) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 l h) -2)) (/.f64 1 (cbrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 l h) -1/2)) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) -1/2)) (pow.f64 (*.f64 l h) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 h (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 l) (pow.f64 h -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 l) (/.f64 1 h))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 l h) -1/2) (sqrt.f64 (pow.f64 (*.f64 l h) -1/2))) (sqrt.f64 (pow.f64 (*.f64 l h) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 h -1) (/.f64 1 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 l h)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 l h)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 l h) -1/2) (/.f64 1 (cbrt.f64 (*.f64 l h)))) (cbrt.f64 (pow.f64 (*.f64 l h) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l h) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 l) h) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l h) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l h) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (*.f64 l h))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 l h) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 1 l) h)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 1 l) h)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 1 l) h)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 l h)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 d (sqrt.f64 (*.f64 l h)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2) (pow.f64 d 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 d 3) (pow.f64 (/.f64 (/.f64 1 l) h) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 6.9b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 9.7b | (pow.f64 (/.f64 d h) (/.f64 1 2)) | |
| 12.4b | (sqrt.f64 (/.f64 d l)) | |
| 13.7b | (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)) |
Compiled 150 to 83 computations (44.7% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | d | @ | -inf | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 1.0ms | h | @ | inf | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 1.0ms | h | @ | -inf | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 1.0ms | l | @ | -inf | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 1.0ms | l | @ | inf | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 1× | batch-egg-rewrite |
| 785× | prod-diff_binary64 |
| 247× | add-sqr-sqrt_binary64 |
| 243× | pow1_binary64 |
| 241× | *-un-lft-identity_binary64 |
| 229× | add-log-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 41 |
| 1 | 506 | 39 |
| 2 | 6842 | 39 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (*.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 1/8 (pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (/.f64 h l)) 3))) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) (+.f64 1 (*.f64 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (/.f64 h l))) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (/.f64 h l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 h l) 2) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 4) 1/4))) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (/.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 1/8 (pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (/.f64 h l)) 3)))) (+.f64 1 (*.f64 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (/.f64 h l))) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (/.f64 h l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (pow.f64 (/.f64 h l) 2) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 4) 1/4)))) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (/.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))) 2) (*.f64 (/.f64 d h) (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) 3) (pow.f64 (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))) 3) (pow.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))) (log.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))) (log.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) 1)))))) |
| 1× | egg-herbie |
| 724× | associate-/l*_binary64 |
| 617× | div-sub_binary64 |
| 521× | distribute-neg-frac_binary64 |
| 456× | associate-/r*_binary64 |
| 405× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 1236 |
| 1 | 91 | 1236 |
| 2 | 260 | 1236 |
| 3 | 1121 | 1236 |
| 4 | 4594 | 1236 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (*.f64 l h))))) (*.f64 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (*.f64 l h))))) (*.f64 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (*.f64 l h))))) (*.f64 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
| Outputs |
|---|
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) -1/8)) |
(*.f64 -1/8 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (/.f64 (*.f64 -1/8 (*.f64 D M)) (/.f64 d (*.f64 D M)))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (/.f64 (*.f64 -1/8 D) (/.f64 d (*.f64 D M))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l)))) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l)))) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (*.f64 l h))))) (*.f64 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (*.f64 l h))))) (*.f64 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (*.f64 l h))))) (*.f64 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
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(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) -1/8)) |
(*.f64 -1/8 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (/.f64 (*.f64 -1/8 (*.f64 D M)) (/.f64 d (*.f64 D M)))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (/.f64 (*.f64 -1/8 D) (/.f64 d (*.f64 D M))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 5.9b | (/.f64 (/.f64 D d) (/.f64 2 M)) | |
| 9.7b | (sqrt.f64 (/.f64 d h)) | |
| 10.9b | (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1) | |
| ✓ | 12.6b | (sqrt.f64 (/.f64 l d)) |
Compiled 130 to 62 computations (52.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | l | @ | 0 | (sqrt.f64 (/.f64 l d)) |
| 1.0ms | d | @ | -inf | (sqrt.f64 (/.f64 l d)) |
| 1.0ms | d | @ | 0 | (sqrt.f64 (/.f64 l d)) |
| 1.0ms | l | @ | -inf | (sqrt.f64 (/.f64 l d)) |
| 1.0ms | l | @ | inf | (sqrt.f64 (/.f64 l d)) |
| 1× | batch-egg-rewrite |
| 543× | pow1_binary64 |
| 520× | add-sqr-sqrt_binary64 |
| 505× | add-log-exp_binary64 |
| 505× | log1p-expm1-u_binary64 |
| 505× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 6 |
| 1 | 105 | 6 |
| 2 | 1371 | 6 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 l d)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 l d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 l d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 l d))) (cbrt.f64 (/.f64 l d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 l d)) (cbrt.f64 (sqrt.f64 (/.f64 l d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 l d) 1/4) (pow.f64 (/.f64 l d) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 1 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (pow.f64 (/.f64 1 d) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (/.f64 1 (sqrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 l d)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 l d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 l d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 l d)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 l d)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 d) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 l) (sqrt.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 l)) (neg.f64 (sqrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 l d) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 l d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 l d) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 l d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 l d) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 l d)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 l d))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 l d) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 l d))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 l d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 l d)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 2.9b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| ✓ | 3.9b | (/.f64 (*.f64 M D) (*.f64 2 d)) |
| 9.7b | (pow.f64 (/.f64 d h) (/.f64 1 2)) | |
| 13.7b | (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)) |
Compiled 165 to 99 computations (40% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | l | @ | -inf | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 1.0ms | h | @ | -inf | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 1.0ms | l | @ | inf | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 1.0ms | h | @ | inf | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 1.0ms | l | @ | 0 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 1× | batch-egg-rewrite |
| 767× | prod-diff_binary64 |
| 267× | add-sqr-sqrt_binary64 |
| 262× | pow1_binary64 |
| 259× | *-un-lft-identity_binary64 |
| 247× | add-log-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 54 |
| 1 | 550 | 49 |
| 2 | 7321 | 49 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 M D) (*.f64 2 d)) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 M (/.f64 1 (*.f64 2 (/.f64 d D))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 M (*.f64 D (/.f64 1/2 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 D (*.f64 M (/.f64 1/2 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 M D) (/.f64 1/2 d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/2 (/.f64 (*.f64 M D) d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 M D) d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 M D)) 2) (*.f64 (cbrt.f64 (*.f64 M D)) (/.f64 1/2 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d))) (sqrt.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 M D)) (*.f64 (sqrt.f64 (*.f64 M D)) (/.f64 1/2 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 M (neg.f64 D)) (/.f64 1 (*.f64 d -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 M 1/2) (/.f64 D d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 D d) (*.f64 M 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 d) (*.f64 M D))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 D (/.f64 2 M)) (/.f64 1 d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 D 2) (/.f64 M d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 M d) (/.f64 D 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 M D)) 2) 2) (/.f64 (cbrt.f64 (*.f64 M D)) d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 M D)) 2) (/.f64 (sqrt.f64 (*.f64 M D)) d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 M D)) d) (/.f64 (sqrt.f64 (*.f64 M D)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 d) (/.f64 D (/.f64 2 M)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 M D)) 2) d) (/.f64 (cbrt.f64 (*.f64 M D)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 M 1) (/.f64 D (*.f64 2 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 D 1) (/.f64 M (*.f64 2 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 M (*.f64 2 d)) D)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 M D)) 2) 1) (/.f64 (cbrt.f64 (*.f64 M D)) (*.f64 2 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 M D)) 1) (/.f64 (sqrt.f64 (*.f64 M D)) (*.f64 2 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 M (pow.f64 (cbrt.f64 (*.f64 2 d)) 2)) (/.f64 D (cbrt.f64 (*.f64 2 d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 D (pow.f64 (cbrt.f64 (*.f64 2 d)) 2)) (/.f64 M (cbrt.f64 (*.f64 2 d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 2 d)) 2)) (/.f64 (*.f64 M D) (cbrt.f64 (*.f64 2 d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 M D)) 2) (pow.f64 (cbrt.f64 (*.f64 2 d)) 2)) (cbrt.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 M D)) (pow.f64 (cbrt.f64 (*.f64 2 d)) 2)) (/.f64 (sqrt.f64 (*.f64 M D)) (cbrt.f64 (*.f64 2 d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 M (sqrt.f64 (*.f64 2 d))) (/.f64 D (sqrt.f64 (*.f64 2 d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 D (sqrt.f64 (*.f64 2 d))) (/.f64 M (sqrt.f64 (*.f64 2 d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 2 d))) (/.f64 (*.f64 M D) (sqrt.f64 (*.f64 2 d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 M D)) 2) (sqrt.f64 (*.f64 2 d))) (/.f64 (cbrt.f64 (*.f64 M D)) (sqrt.f64 (*.f64 2 d))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 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d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (*.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 1/8 (pow.f64 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) (/.f64 h l)) 3))) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) (/.f64 h l))) (*.f64 (pow.f64 (/.f64 h l) 2) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 4) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 h l) 2) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 4) 1/4))) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) (/.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 1/8 (pow.f64 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) (/.f64 h l)) 3)))) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) (/.f64 h l))) (*.f64 (pow.f64 (/.f64 h l) 2) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 4) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (pow.f64 (/.f64 h l) 2) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 4) 1/4)))) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) (/.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (/.f64 d h) (/.f64 d l)) (pow.f64 (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) 3) (pow.f64 (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))) 3) (pow.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) (log1p.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) (log1p.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1)))))) |
| 1× | egg-herbie |
| 776× | associate-/l*_binary64 |
| 653× | div-sub_binary64 |
| 520× | distribute-neg-frac_binary64 |
| 517× | associate-/r*_binary64 |
| 402× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 1596 |
| 1 | 101 | 1596 |
| 2 | 280 | 1596 |
| 3 | 1134 | 1596 |
| 4 | 4814 | 1596 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (*.f64 l h))))) (*.f64 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (*.f64 l h))))) (*.f64 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (*.f64 l h))))) (*.f64 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 (*.f64 D M) d)) |
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(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 M M)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 -1/8 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 -1/8 (*.f64 (*.f64 (/.f64 (*.f64 D D) (/.f64 d M)) M) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (*.f64 M M) (*.f64 (/.f64 -1/8 d) (*.f64 D D)))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 -1/8 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 M M)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (/.f64 (*.f64 D D) (/.f64 d M)) M) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (*.f64 M M) (*.f64 (/.f64 -1/8 d) (*.f64 D D))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 -1/8 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 M M)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (/.f64 (*.f64 D D) (/.f64 d M)) M) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (*.f64 M M) (*.f64 (/.f64 -1/8 d) (*.f64 D D))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 -1/8 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 M M)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (/.f64 (*.f64 D D) (/.f64 d M)) M) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (*.f64 M M) (*.f64 (/.f64 -1/8 d) (*.f64 D D))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 -1/8 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M)))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 M M)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 -1/8 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 -1/8 (*.f64 (*.f64 (/.f64 (*.f64 D D) (/.f64 d M)) M) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (*.f64 M M) (*.f64 (/.f64 -1/8 d) (*.f64 D D)))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 -1/8 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 M M)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (/.f64 (*.f64 D D) (/.f64 d M)) M) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (*.f64 M M) (*.f64 (/.f64 -1/8 d) (*.f64 D D))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 -1/8 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 M M)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (/.f64 (*.f64 D D) (/.f64 d M)) M) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (*.f64 M M) (*.f64 (/.f64 -1/8 d) (*.f64 D D))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 -1/8 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 M M)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (/.f64 (*.f64 D D) (/.f64 d M)) M) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (*.f64 M M) (*.f64 (/.f64 -1/8 d) (*.f64 D D))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 -1/8 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M)))))) |
Compiled 17839 to 9846 computations (44.8% saved)
53 alts after pruning (52 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 527 | 42 | 569 |
| Fresh | 17 | 10 | 27 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 1 | 4 |
| Total | 548 | 53 | 601 |
| Status | Error | Program |
|---|---|---|
| 47.6b | (*.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 l h) -1/2))) d) | |
| 58.5b | (*.f64 (*.f64 D (*.f64 (/.f64 D (/.f64 d M)) M)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) | |
| 26.3b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) | |
| ▶ | 47.1b | (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 47.3b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) | |
| 38.6b | (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) | |
| 33.5b | (pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 1) | |
| 32.5b | (*.f64 (cbrt.f64 (pow.f64 (/.f64 d h) 3/2)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) | |
| 26.3b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) | |
| 35.3b | (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2))) 2)) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2))))) | |
| 30.8b | (*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 d h) 3/2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) | |
| 25.6b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h)))) | |
| 45.9b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) | |
| 54.8b | (pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 3) 1/3) | |
| 32.5b | (pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) | |
| 38.7b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 l))) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) | |
| 57.6b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) | |
| 53.6b | (*.f64 (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 1 l) h)) 1)) d) | |
| 44.7b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) | |
| ▶ | 31.2b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
| 26.3b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1))) | |
| 47.0b | (pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) | |
| 39.2b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) | |
| 40.0b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) | |
| ▶ | 32.5b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
| 33.7b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) | |
| 32.5b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) | |
| 50.4b | (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2)) d) | |
| 38.0b | (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) | |
| 25.8b | (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) | |
| 25.9b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (pow.f64 (/.f64 d l) 1/4) 2)) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) | |
| 53.1b | (*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) | |
| 46.8b | (*.f64 (/.f64 1 (sqrt.f64 (*.f64 l h))) d) | |
| 57.6b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) | |
| 45.9b | (*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) | |
| 46.7b | (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) | |
| ✓ | 46.7b | (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
| 51.0b | (*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2) 1/3) d) | |
| 47.8b | (pow.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 2) | |
| ▶ | 46.7b | (/.f64 d (sqrt.f64 (*.f64 l h))) |
| 31.3b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) | |
| 46.7b | (*.f64 (pow.f64 (*.f64 l h) -1/2) d) | |
| 26.2b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) | |
| 53.2b | (fma.f64 (*.f64 M M) (*.f64 (/.f64 D (/.f64 d D)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) | |
| 46.7b | (*.f64 (sqrt.f64 (*.f64 (/.f64 1 l) (/.f64 1 h))) d) | |
| 44.7b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) | |
| 25.3b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) | |
| 51.9b | (-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1) | |
| 40.3b | (sqrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 2)) | |
| 57.8b | (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (/.f64 (*.f64 -1/8 D) (/.f64 d (*.f64 D M))))) | |
| 46.9b | (*.f64 (sqrt.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 l h)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 l h)) -1))) d) | |
| ▶ | 24.5b | (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) 1/4) (pow.f64 (/.f64 d h) 1/4)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
| 33.4b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (cbrt.f64 (pow.f64 (/.f64 d l) 3/2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
Compiled 2953 to 2178 computations (26.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 6.9b | (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) 1/4) (pow.f64 (/.f64 d h) 1/4)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
| ✓ | 9.8b | (pow.f64 (/.f64 d h) 1/4) |
| 12.4b | (pow.f64 (/.f64 d l) (/.f64 1 2)) | |
| 15.3b | (sqrt.f64 (/.f64 h l)) |
Compiled 187 to 100 computations (46.5% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 44.0ms | d | @ | -inf | (pow.f64 (/.f64 d h) 1/4) |
| 39.0ms | d | @ | 0 | (pow.f64 (/.f64 d h) 1/4) |
| 14.0ms | h | @ | 0 | (pow.f64 (/.f64 d h) 1/4) |
| 13.0ms | h | @ | -inf | (pow.f64 (/.f64 d h) 1/4) |
| 11.0ms | h | @ | inf | (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) 1/4) (pow.f64 (/.f64 d h) 1/4)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
| 1× | batch-egg-rewrite |
| 416× | prod-diff_binary64 |
| 284× | add-sqr-sqrt_binary64 |
| 280× | pow1_binary64 |
| 277× | *-un-lft-identity_binary64 |
| 265× | add-log-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 53 |
| 1 | 598 | 46 |
| 2 | 7766 | 46 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 d h) 1/4) |
(*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) 1/4) (pow.f64 (/.f64 d h) 1/4)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 d h) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 d h) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 d h) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 d h) 1/4)) (cbrt.f64 (sqrt.f64 (/.f64 d h))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 d h))) (cbrt.f64 (pow.f64 (/.f64 d h) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 d h) 1/8) (pow.f64 (/.f64 d h) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (/.f64 d h))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 d h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 d 1/4) (pow.f64 (/.f64 1 h) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/4) (pow.f64 (/.f64 d h) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 d h) 2)) 1/4) (pow.f64 (cbrt.f64 (/.f64 d h)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 d h)) 1/4) (pow.f64 (sqrt.f64 (/.f64 d h)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (sqrt.f64 (/.f64 d h)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (/.f64 d h) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 d h) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 d h) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 d h) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 d h) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 d h) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log.f64 (/.f64 d h))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (/.f64 d h))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (*.f64 (*.f64 (/.f64 h l) (neg.f64 (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2)))) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (*.f64 (/.f64 h l) (neg.f64 (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2))) 3)) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) (+.f64 1 (*.f64 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2))) 2)) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (pow.f64 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2))) 3))) (+.f64 1 (*.f64 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (pow.f64 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2))) 2))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2)))) 2) (*.f64 (/.f64 d h) (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) 3) (pow.f64 (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2)))) 3) (pow.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2)))))) 1)))))) |
| 1× | egg-herbie |
| 632× | associate-/r/_binary64 |
| 630× | fma-neg_binary64 |
| 505× | div-sub_binary64 |
| 345× | unswap-sqr_binary64 |
| 317× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 1828 |
| 1 | 214 | 1548 |
| 2 | 647 | 1476 |
| 3 | 2710 | 1404 |
| 4 | 6766 | 1404 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 d) (log.f64 (/.f64 1 h))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 d) (log.f64 (/.f64 1 h))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 d) (log.f64 (/.f64 1 h))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 d) (log.f64 (/.f64 1 h))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 d))) (log.f64 (/.f64 1 h))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 d))) (log.f64 (/.f64 1 h))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 d))) (log.f64 (/.f64 1 h))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 d))) (log.f64 (/.f64 1 h))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 h)) (*.f64 -1 (log.f64 (/.f64 -1 d)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 h)) (*.f64 -1 (log.f64 (/.f64 -1 d)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 h)) (*.f64 -1 (log.f64 (/.f64 -1 d)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 h)) (*.f64 -1 (log.f64 (/.f64 -1 d)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 h)) (log.f64 d)))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 h)) (log.f64 d)))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 h)) (log.f64 d)))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 h)) (log.f64 d)))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 h)) (log.f64 d)))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 h)) (log.f64 d)))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 h)) (log.f64 d)))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 h)) (log.f64 d)))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 h)) (log.f64 (*.f64 -1 d))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 h)) (log.f64 (*.f64 -1 d))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 h)) (log.f64 (*.f64 -1 d))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 h)) (log.f64 (*.f64 -1 d))))) |
(*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (*.f64 l h))))) (*.f64 1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2)))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (*.f64 l h))))) (*.f64 1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2)))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (*.f64 l h))))) (*.f64 1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2)))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
| Outputs |
|---|
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 d) (log.f64 (/.f64 1 h))))) |
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 h) (log.f64 d))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 d) (log.f64 h))) |
(*.f64 (pow.f64 d 1/4) (pow.f64 h -1/4)) |
(pow.f64 (/.f64 d h) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 d) (log.f64 (/.f64 1 h))))) |
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 h) (log.f64 d))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 d) (log.f64 h))) |
(*.f64 (pow.f64 d 1/4) (pow.f64 h -1/4)) |
(pow.f64 (/.f64 d h) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 d) (log.f64 (/.f64 1 h))))) |
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 h) (log.f64 d))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 d) (log.f64 h))) |
(*.f64 (pow.f64 d 1/4) (pow.f64 h -1/4)) |
(pow.f64 (/.f64 d h) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 d) (log.f64 (/.f64 1 h))))) |
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 h) (log.f64 d))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 d) (log.f64 h))) |
(*.f64 (pow.f64 d 1/4) (pow.f64 h -1/4)) |
(pow.f64 (/.f64 d h) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 d))) (log.f64 (/.f64 1 h))))) |
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 h) (log.f64 d))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 d) (log.f64 h))) |
(*.f64 (pow.f64 d 1/4) (pow.f64 h -1/4)) |
(pow.f64 (/.f64 d h) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 d))) (log.f64 (/.f64 1 h))))) |
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 h) (log.f64 d))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 d) (log.f64 h))) |
(*.f64 (pow.f64 d 1/4) (pow.f64 h -1/4)) |
(pow.f64 (/.f64 d h) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 d))) (log.f64 (/.f64 1 h))))) |
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 h) (log.f64 d))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 d) (log.f64 h))) |
(*.f64 (pow.f64 d 1/4) (pow.f64 h -1/4)) |
(pow.f64 (/.f64 d h) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 d))) (log.f64 (/.f64 1 h))))) |
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 h) (log.f64 d))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 d) (log.f64 h))) |
(*.f64 (pow.f64 d 1/4) (pow.f64 h -1/4)) |
(pow.f64 (/.f64 d h) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 h)) (*.f64 -1 (log.f64 (/.f64 -1 d)))))) |
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 h) (log.f64 d))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 d) (log.f64 h))) |
(*.f64 (pow.f64 d 1/4) (pow.f64 h -1/4)) |
(pow.f64 (/.f64 d h) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 h)) (*.f64 -1 (log.f64 (/.f64 -1 d)))))) |
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 h) (log.f64 d))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 d) (log.f64 h))) |
(*.f64 (pow.f64 d 1/4) (pow.f64 h -1/4)) |
(pow.f64 (/.f64 d h) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 h)) (*.f64 -1 (log.f64 (/.f64 -1 d)))))) |
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 h) (log.f64 d))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 d) (log.f64 h))) |
(*.f64 (pow.f64 d 1/4) (pow.f64 h -1/4)) |
(pow.f64 (/.f64 d h) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 h)) (*.f64 -1 (log.f64 (/.f64 -1 d)))))) |
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 h) (log.f64 d))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 d) (log.f64 h))) |
(*.f64 (pow.f64 d 1/4) (pow.f64 h -1/4)) |
(pow.f64 (/.f64 d h) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 h)) (log.f64 d)))) |
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 h) (log.f64 d))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 d) (log.f64 h))) |
(*.f64 (pow.f64 d 1/4) (pow.f64 h -1/4)) |
(pow.f64 (/.f64 d h) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 h)) (log.f64 d)))) |
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 h) (log.f64 d))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 d) (log.f64 h))) |
(*.f64 (pow.f64 d 1/4) (pow.f64 h -1/4)) |
(pow.f64 (/.f64 d h) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 h)) (log.f64 d)))) |
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 h) (log.f64 d))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 d) (log.f64 h))) |
(*.f64 (pow.f64 d 1/4) (pow.f64 h -1/4)) |
(pow.f64 (/.f64 d h) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 h)) (log.f64 d)))) |
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 h) (log.f64 d))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 d) (log.f64 h))) |
(*.f64 (pow.f64 d 1/4) (pow.f64 h -1/4)) |
(pow.f64 (/.f64 d h) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 h)) (log.f64 d)))) |
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 h) (log.f64 d))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 d) (log.f64 h))) |
(*.f64 (pow.f64 d 1/4) (pow.f64 h -1/4)) |
(pow.f64 (/.f64 d h) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 h)) (log.f64 d)))) |
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 h) (log.f64 d))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 d) (log.f64 h))) |
(*.f64 (pow.f64 d 1/4) (pow.f64 h -1/4)) |
(pow.f64 (/.f64 d h) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 h)) (log.f64 d)))) |
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 h) (log.f64 d))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 d) (log.f64 h))) |
(*.f64 (pow.f64 d 1/4) (pow.f64 h -1/4)) |
(pow.f64 (/.f64 d h) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 h)) (log.f64 d)))) |
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 h) (log.f64 d))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 d) (log.f64 h))) |
(*.f64 (pow.f64 d 1/4) (pow.f64 h -1/4)) |
(pow.f64 (/.f64 d h) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 h)) (log.f64 (*.f64 -1 d))))) |
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 h) (log.f64 d))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 d) (log.f64 h))) |
(*.f64 (pow.f64 d 1/4) (pow.f64 h -1/4)) |
(pow.f64 (/.f64 d h) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 h)) (log.f64 (*.f64 -1 d))))) |
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 h) (log.f64 d))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 d) (log.f64 h))) |
(*.f64 (pow.f64 d 1/4) (pow.f64 h -1/4)) |
(pow.f64 (/.f64 d h) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 h)) (log.f64 (*.f64 -1 d))))) |
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 h) (log.f64 d))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 d) (log.f64 h))) |
(*.f64 (pow.f64 d 1/4) (pow.f64 h -1/4)) |
(pow.f64 (/.f64 d h) 1/4) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 -1 h)) (log.f64 (*.f64 -1 d))))) |
(pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 h) (log.f64 d))) |
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 d) (log.f64 h))) |
(*.f64 (pow.f64 d 1/4) (pow.f64 h -1/4)) |
(pow.f64 (/.f64 d h) 1/4) |
(*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 -1/4 (*.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M)))) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (/.f64 -1/8 (/.f64 (/.f64 d (*.f64 M M)) (*.f64 D D)))) |
(/.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M)))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (*.f64 (/.f64 -1/8 (/.f64 d M)) M) (*.f64 D D))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M)))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(fma.f64 (/.f64 -1/8 (/.f64 (/.f64 d (*.f64 M M)) (*.f64 D D))) (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (/.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (*.f64 (/.f64 -1/8 (/.f64 d M)) M) (*.f64 D D)))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M)))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(fma.f64 (/.f64 -1/8 (/.f64 (/.f64 d (*.f64 M M)) (*.f64 D D))) (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (/.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (*.f64 (/.f64 -1/8 (/.f64 d M)) M) (*.f64 D D)))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M)))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(fma.f64 (/.f64 -1/8 (/.f64 (/.f64 d (*.f64 M M)) (*.f64 D D))) (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (/.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (*.f64 (/.f64 -1/8 (/.f64 d M)) M) (*.f64 D D)))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) |
(*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l)))) |
(*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h)))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M)))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(fma.f64 (/.f64 -1/8 (/.f64 (/.f64 d (*.f64 M M)) (*.f64 D D))) (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (/.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (*.f64 (/.f64 -1/8 (/.f64 d M)) M) (*.f64 D D)))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M)))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(fma.f64 (/.f64 -1/8 (/.f64 (/.f64 d (*.f64 M M)) (*.f64 D D))) (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (/.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (*.f64 (/.f64 -1/8 (/.f64 d M)) M) (*.f64 D D)))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M)))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(fma.f64 (/.f64 -1/8 (/.f64 (/.f64 d (*.f64 M M)) (*.f64 D D))) (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (/.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M))))) |
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(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (/.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (*.f64 (/.f64 -1/8 (/.f64 d M)) M) (*.f64 D D)))) |
(*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 -1/4 (*.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M)))) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (/.f64 -1/8 (/.f64 (/.f64 d (*.f64 M M)) (*.f64 D D)))) |
(/.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M)))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (*.f64 (/.f64 -1/8 (/.f64 d M)) M) (*.f64 D D))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M)))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(fma.f64 (/.f64 -1/8 (/.f64 (/.f64 d (*.f64 M M)) (*.f64 D D))) (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (/.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (*.f64 (/.f64 -1/8 (/.f64 d M)) M) (*.f64 D D)))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M)))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(fma.f64 (/.f64 -1/8 (/.f64 (/.f64 d (*.f64 M M)) (*.f64 D D))) (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (/.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (*.f64 (/.f64 -1/8 (/.f64 d M)) M) (*.f64 D D)))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M)))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(fma.f64 (/.f64 -1/8 (/.f64 (/.f64 d (*.f64 M M)) (*.f64 D D))) (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (/.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (*.f64 (/.f64 -1/8 (/.f64 d M)) M) (*.f64 D D)))) |
(*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 -1/4 (*.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M)))) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (/.f64 -1/8 (/.f64 (/.f64 d (*.f64 M M)) (*.f64 D D)))) |
(/.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M)))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (*.f64 (/.f64 -1/8 (/.f64 d M)) M) (*.f64 D D))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M)))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(fma.f64 (/.f64 -1/8 (/.f64 (/.f64 d (*.f64 M M)) (*.f64 D D))) (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (/.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (*.f64 (/.f64 -1/8 (/.f64 d M)) M) (*.f64 D D)))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M)))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(fma.f64 (/.f64 -1/8 (/.f64 (/.f64 d (*.f64 M M)) (*.f64 D D))) (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (/.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (*.f64 (/.f64 -1/8 (/.f64 d M)) M) (*.f64 D D)))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M)))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(fma.f64 (/.f64 -1/8 (/.f64 (/.f64 d (*.f64 M M)) (*.f64 D D))) (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (/.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (/.f64 d (*.f64 (*.f64 D D) (*.f64 M M))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (*.f64 (/.f64 -1/8 (/.f64 d M)) M) (*.f64 D D)))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 d (sqrt.f64 (*.f64 l h))) |
| ✓ | 15.8b | (sqrt.f64 (*.f64 l h)) |
Compiled 21 to 8 computations (61.9% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | h | @ | 0 | (sqrt.f64 (*.f64 l h)) |
| 1.0ms | l | @ | -inf | (/.f64 d (sqrt.f64 (*.f64 l h))) |
| 1.0ms | h | @ | -inf | (/.f64 d (sqrt.f64 (*.f64 l h))) |
| 1.0ms | h | @ | inf | (sqrt.f64 (*.f64 l h)) |
| 1.0ms | l | @ | 0 | (sqrt.f64 (*.f64 l h)) |
| 1× | batch-egg-rewrite |
| 743× | pow1_binary64 |
| 688× | add-log-exp_binary64 |
| 688× | log1p-expm1-u_binary64 |
| 688× | expm1-log1p-u_binary64 |
| 671× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 1 | 144 | 15 |
| 2 | 1860 | 15 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 l h)) |
(/.f64 d (sqrt.f64 (*.f64 l h))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 l h)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 l h)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 l h))) (cbrt.f64 (*.f64 l h)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 l h)) (cbrt.f64 (sqrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 h) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l h) 1/4) (pow.f64 (*.f64 l h) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (sqrt.f64 h))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 l h)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 l h)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 l h)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 l h)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l h) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 l h)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 l h))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l h) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 l h)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 l h) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 l h)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 d (pow.f64 (*.f64 l h) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 d) 2) (*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) (cbrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 d) (pow.f64 (*.f64 l h) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 d) (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l h) -1/2) d)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) 1) (/.f64 (cbrt.f64 d) (sqrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 d) 1) (/.f64 (sqrt.f64 d) (sqrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 l h))) (/.f64 d (cbrt.f64 (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 (*.f64 l h))) (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 d) (cbrt.f64 (*.f64 l h))) (/.f64 (sqrt.f64 d) (cbrt.f64 (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (*.f64 l h) 1/4)) (/.f64 d (pow.f64 (*.f64 l h) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) (pow.f64 (*.f64 l h) 1/4)) (/.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) (sqrt.f64 l)) (/.f64 (cbrt.f64 d) (sqrt.f64 h)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 d (neg.f64 (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 d 3) (pow.f64 (*.f64 l h) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))))) |
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 2× | associate-/r*_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 144 |
| 1 | 15 | 144 |
| 2 | 17 | 144 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 1 (sqrt.f64 (/.f64 l d))) |
| ✓ | 0.3b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
| 9.7b | (sqrt.f64 (/.f64 d h)) | |
| 12.6b | (sqrt.f64 (/.f64 l d)) |
Compiled 50 to 21 computations (58% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | l | @ | -inf | (/.f64 1 (sqrt.f64 (/.f64 l d))) |
| 1.0ms | d | @ | -inf | (/.f64 1 (sqrt.f64 (/.f64 l d))) |
| 0.0ms | l | @ | -inf | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
| 0.0ms | h | @ | -inf | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
| 0.0ms | l | @ | inf | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
| 1× | batch-egg-rewrite |
| 566× | log-prod_binary64 |
| 410× | exp-prod_binary64 |
| 375× | pow-prod-down_binary64 |
| 277× | pow2_binary64 |
| 196× | pow-to-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 26 |
| 1 | 251 | 18 |
| 2 | 2961 | 18 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(/.f64 1 (sqrt.f64 (/.f64 l d))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 d) (pow.f64 (*.f64 (/.f64 l d) h) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 d) 1) (pow.f64 (*.f64 h (/.f64 l d)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 d) -1) (*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 (/.f64 l d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (sqrt.f64 d)) (*.f64 (neg.f64 (sqrt.f64 (/.f64 l d))) (sqrt.f64 h)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 d l))) (sqrt.f64 h))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (sqrt.f64 (/.f64 d h))) (neg.f64 (sqrt.f64 (/.f64 l d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 d h)) -1) (neg.f64 (sqrt.f64 (/.f64 l d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 d)) (sqrt.f64 h))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 d l)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 d l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 d l))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 d l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 d l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 d l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 l d) -1/6) (cbrt.f64 (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 d l)) (pow.f64 (/.f64 l d) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 l d) -1/4) (pow.f64 (/.f64 l d) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 l d)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l -1/2) (sqrt.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (/.f64 l d))) (pow.f64 (/.f64 l d) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 l d) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 l d)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 d l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (sqrt.f64 (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 l d) -3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 l d) 2) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 l d) 3) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 d l) -3/2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 l d) -1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 l d)) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 l d) 1/6) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 l d) -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 l d) 1/4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 d l) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (sqrt.f64 (/.f64 l d))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 l d)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 d l)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 d l)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 d l))))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 d l)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 d l))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 d l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 l d) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 l d))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 d l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 l d)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 l d) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 l d) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 l d) -1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 l d)) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 l d)) 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 l d))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 l d))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 d l))) 1) 1)))))) |
| 1× | egg-herbie |
| 38× | fma-def_binary64 |
| 9× | sub-neg_binary64 |
| 6× | +-commutative_binary64 |
| 5× | *-commutative_binary64 |
| 4× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 152 |
| 1 | 21 | 152 |
| 2 | 35 | 152 |
| 3 | 39 | 152 |
| 4 | 43 | 152 |
| 5 | 61 | 152 |
| 6 | 83 | 152 |
| 7 | 94 | 152 |
| 8 | 106 | 152 |
| 9 | 131 | 152 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 8.5b | (/.f64 (*.f64 d d) D) |
| 9.7b | (sqrt.f64 (/.f64 d h)) | |
| 12.4b | (sqrt.f64 (/.f64 d l)) | |
| ✓ | 13.6b | (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D)) |
Compiled 154 to 30 computations (80.5% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | l | @ | 0 | (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D)) |
| 1.0ms | d | @ | inf | (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D)) |
| 1.0ms | M | @ | inf | (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D)) |
| 1.0ms | d | @ | 0 | (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D)) |
| 1.0ms | M | @ | 0 | (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D)) |
| 1× | batch-egg-rewrite |
| 571× | log-prod_binary64 |
| 444× | pow-prod-down_binary64 |
| 425× | exp-prod_binary64 |
| 274× | pow2_binary64 |
| 208× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 197 | 20 |
| 2 | 2920 | 20 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D)) |
(/.f64 (*.f64 d d) D) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 d d) D)) (/.f64 l M))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 d d) D)) (/.f64 l M)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 d d) D)) (/.f64 l M)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 d d) D)) (/.f64 l M)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 l (*.f64 M (*.f64 D (pow.f64 d -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 l (*.f64 (*.f64 D (pow.f64 d -2)) M))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 l (/.f64 (*.f64 M D) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 l (/.f64 M (/.f64 (*.f64 d d) D)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 l M) (*.f64 D (pow.f64 d -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 d (*.f64 (/.f64 M l) (/.f64 D d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 d (*.f64 (/.f64 D d) (/.f64 M l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 d d) (*.f64 (/.f64 M l) D))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 d d) (*.f64 D (/.f64 M l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 d d) D) (/.f64 M l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 M l) (*.f64 D (pow.f64 d -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 D (pow.f64 d -2)) (/.f64 M l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 M D) (*.f64 l (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 M (*.f64 l (/.f64 (*.f64 d d) D))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 D (*.f64 (/.f64 l M) (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 l) (*.f64 (*.f64 D (pow.f64 d -2)) (neg.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 d (neg.f64 d)) (*.f64 (/.f64 M l) (neg.f64 D)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (*.f64 d d)) (*.f64 M D))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (/.f64 (*.f64 d d) D)) M)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 l M) (*.f64 d d)) D)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 l (*.f64 d d))) (neg.f64 (*.f64 M D)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 l (/.f64 (*.f64 d d) D))) (neg.f64 M))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 l M) (*.f64 d d))) (neg.f64 D))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 l) 1) (*.f64 (neg.f64 M) (*.f64 D (pow.f64 d -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l d) (*.f64 M (/.f64 D d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 l) d) (*.f64 (neg.f64 M) (/.f64 D d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 l) (*.f64 d d)) (*.f64 (neg.f64 M) D))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (*.f64 d (neg.f64 d))) (*.f64 M (neg.f64 D)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 l) (*.f64 d (neg.f64 d))) (*.f64 (neg.f64 M) (neg.f64 D)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 d l) (*.f64 (/.f64 D d) M))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 d (neg.f64 d)) l) (*.f64 (neg.f64 D) M))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 d (neg.f64 d)) 1) (*.f64 (neg.f64 D) (/.f64 M l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 d (neg.f64 l)) (*.f64 (/.f64 D d) (neg.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 d d) (neg.f64 l)) (*.f64 D (neg.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 d (neg.f64 d)) (neg.f64 l)) (*.f64 (neg.f64 D) (neg.f64 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d -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 D (pow.f64 d -2)) (/.f64 M l)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 M D) (*.f64 l (*.f64 d d))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 M (*.f64 l (/.f64 (*.f64 d d) D))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 D (*.f64 (/.f64 l M) (*.f64 d d))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 d d) D)) (/.f64 l M)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 d (sqrt.f64 D)) (sqrt.f64 (/.f64 l M)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 d d) D))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 d d) D))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 d d) D)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 d d) D)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 d d) D)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 d d) D))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 d (/.f64 1 (/.f64 D d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 d (*.f64 d (/.f64 1 D)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 d d) (/.f64 1 D))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 d d) D) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 d d) D))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 d d) D)) (cbrt.f64 (pow.f64 (/.f64 d (sqrt.f64 D)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 d (sqrt.f64 D)) 4)) (cbrt.f64 (/.f64 (*.f64 d d) D)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 d) d) (*.f64 (pow.f64 (cbrt.f64 d) 2) (/.f64 1 D)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (sqrt.f64 D)) (/.f64 d (sqrt.f64 D)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 d (neg.f64 d)) (/.f64 1 (neg.f64 D)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 D) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d 1) (/.f64 d D))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d D) d)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 d) d) 1) (/.f64 (pow.f64 (cbrt.f64 d) 2) D))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (pow.f64 (cbrt.f64 D) 2)) (/.f64 d (cbrt.f64 D)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 D) -2) (/.f64 (*.f64 d d) (cbrt.f64 D)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 d) d) (pow.f64 (cbrt.f64 D) 2)) (cbrt.f64 (/.f64 (*.f64 d d) D)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 D -1/2) (/.f64 (*.f64 d d) (sqrt.f64 D)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 d) d) (sqrt.f64 D)) (/.f64 (pow.f64 (cbrt.f64 d) 2) (sqrt.f64 D)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 d d) D) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 d (sqrt.f64 D)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 d (sqrt.f64 D)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 d d) D)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 d (sqrt.f64 D)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 D (pow.f64 d -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (*.f64 d d) D)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 d 6) (pow.f64 D 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 D (pow.f64 d -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 d d) D))) 2)) (cbrt.f64 (log.f64 (/.f64 (*.f64 d d) D))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 d d) D)))) (sqrt.f64 (log.f64 (/.f64 (*.f64 d d) D))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 d d) (neg.f64 D)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 d (sqrt.f64 D)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 d d) D)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 d d) D))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 d (sqrt.f64 D)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 d 6) (pow.f64 D 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 d d) D)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 d d) D)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 d d) D)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) D)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d (sqrt.f64 D)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 d d) D))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 d (sqrt.f64 D))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 D (pow.f64 d -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) D)) 1) 1)))))) |
| 1× | egg-herbie |
| 1040× | associate-*l/_binary64 |
| 582× | *-commutative_binary64 |
| 576× | associate-*r/_binary64 |
| 463× | times-frac_binary64 |
| 349× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 792 |
| 1 | 32 | 792 |
| 2 | 77 | 792 |
| 3 | 207 | 792 |
| 4 | 708 | 792 |
| 5 | 3124 | 792 |
| 6 | 3288 | 792 |
| 7 | 3888 | 792 |
| 8 | 3999 | 792 |
| 9 | 4144 | 792 |
| 10 | 4321 | 792 |
| 11 | 6615 | 792 |
| 12 | 6945 | 792 |
| 13 | 7318 | 792 |
| 14 | 7769 | 792 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 l (pow.f64 d 2)) (*.f64 D M)) |
(/.f64 (*.f64 l (pow.f64 d 2)) (*.f64 D M)) |
(/.f64 (*.f64 l (pow.f64 d 2)) (*.f64 D M)) |
(/.f64 (*.f64 l (pow.f64 d 2)) (*.f64 D M)) |
(/.f64 (*.f64 l (pow.f64 d 2)) (*.f64 D M)) |
(/.f64 (*.f64 l (pow.f64 d 2)) (*.f64 D M)) |
(/.f64 (*.f64 l (pow.f64 d 2)) (*.f64 D M)) |
(/.f64 (*.f64 l (pow.f64 d 2)) (*.f64 D M)) |
(/.f64 (*.f64 l (pow.f64 d 2)) (*.f64 D M)) |
(/.f64 (*.f64 l (pow.f64 d 2)) (*.f64 D M)) |
(/.f64 (*.f64 l (pow.f64 d 2)) (*.f64 D M)) |
(/.f64 (*.f64 l (pow.f64 d 2)) (*.f64 D M)) |
(/.f64 (*.f64 (pow.f64 d 2) l) (*.f64 D M)) |
(/.f64 (*.f64 (pow.f64 d 2) l) (*.f64 D M)) |
(/.f64 (*.f64 (pow.f64 d 2) l) (*.f64 D M)) |
(/.f64 (*.f64 (pow.f64 d 2) l) (*.f64 D M)) |
(/.f64 (*.f64 (pow.f64 d 2) l) (*.f64 D M)) |
(/.f64 (*.f64 (pow.f64 d 2) l) (*.f64 D M)) |
(/.f64 (*.f64 (pow.f64 d 2) l) (*.f64 D M)) |
(/.f64 (*.f64 (pow.f64 d 2) l) (*.f64 D M)) |
(/.f64 (*.f64 l (pow.f64 d 2)) (*.f64 D M)) |
(/.f64 (*.f64 l (pow.f64 d 2)) (*.f64 D M)) |
(/.f64 (*.f64 l (pow.f64 d 2)) (*.f64 D M)) |
(/.f64 (*.f64 l (pow.f64 d 2)) (*.f64 D M)) |
(/.f64 (*.f64 (pow.f64 d 2) l) (*.f64 D M)) |
(/.f64 (*.f64 (pow.f64 d 2) l) (*.f64 D M)) |
(/.f64 (*.f64 (pow.f64 d 2) l) (*.f64 D M)) |
(/.f64 (*.f64 (pow.f64 d 2) l) (*.f64 D M)) |
(/.f64 (*.f64 (pow.f64 d 2) l) (*.f64 D M)) |
(/.f64 (*.f64 (pow.f64 d 2) l) (*.f64 D M)) |
(/.f64 (*.f64 (pow.f64 d 2) l) (*.f64 D M)) |
(/.f64 (*.f64 (pow.f64 d 2) l) (*.f64 D M)) |
(/.f64 (*.f64 (pow.f64 d 2) l) (*.f64 D M)) |
(/.f64 (*.f64 (pow.f64 d 2) l) (*.f64 D M)) |
(/.f64 (*.f64 (pow.f64 d 2) l) (*.f64 D M)) |
(/.f64 (*.f64 (pow.f64 d 2) l) (*.f64 D M)) |
(/.f64 (*.f64 (pow.f64 d 2) l) (*.f64 D M)) |
(/.f64 (*.f64 (pow.f64 d 2) l) (*.f64 D M)) |
(/.f64 (*.f64 (pow.f64 d 2) l) (*.f64 D M)) |
(/.f64 (*.f64 (pow.f64 d 2) l) (*.f64 D M)) |
(/.f64 (*.f64 (pow.f64 d 2) l) (*.f64 D M)) |
(/.f64 (*.f64 (pow.f64 d 2) l) (*.f64 D M)) |
(/.f64 (*.f64 (pow.f64 d 2) l) (*.f64 D M)) |
(/.f64 (*.f64 (pow.f64 d 2) l) (*.f64 D M)) |
(/.f64 (*.f64 l (pow.f64 d 2)) (*.f64 D M)) |
(/.f64 (*.f64 l (pow.f64 d 2)) (*.f64 D M)) |
(/.f64 (*.f64 l (pow.f64 d 2)) (*.f64 D M)) |
(/.f64 (*.f64 l (pow.f64 d 2)) (*.f64 D M)) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (pow.f64 d 2) D) |
| Outputs |
|---|
(/.f64 (*.f64 l (pow.f64 d 2)) (*.f64 D M)) |
(*.f64 (/.f64 (*.f64 d d) D) (/.f64 l M)) |
(*.f64 (/.f64 d (/.f64 D d)) (/.f64 l M)) |
(*.f64 l (/.f64 (*.f64 (/.f64 d M) d) D)) |
(*.f64 l (*.f64 (/.f64 d D) (/.f64 d M))) |
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(/.f64 (pow.f64 d 2) D) |
(/.f64 (*.f64 d d) D) |
(/.f64 d (/.f64 D d)) |
(*.f64 (/.f64 d D) d) |
(*.f64 d (/.f64 d D)) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (*.f64 d d) D) |
(/.f64 d (/.f64 D d)) |
(*.f64 (/.f64 d D) d) |
(*.f64 d (/.f64 d D)) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (*.f64 d d) D) |
(/.f64 d (/.f64 D d)) |
(*.f64 (/.f64 d D) d) |
(*.f64 d (/.f64 d D)) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (*.f64 d d) D) |
(/.f64 d (/.f64 D d)) |
(*.f64 (/.f64 d D) d) |
(*.f64 d (/.f64 d D)) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (*.f64 d d) D) |
(/.f64 d (/.f64 D d)) |
(*.f64 (/.f64 d D) d) |
(*.f64 d (/.f64 d D)) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (*.f64 d d) D) |
(/.f64 d (/.f64 D d)) |
(*.f64 (/.f64 d D) d) |
(*.f64 d (/.f64 d D)) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (*.f64 d d) D) |
(/.f64 d (/.f64 D d)) |
(*.f64 (/.f64 d D) d) |
(*.f64 d (/.f64 d D)) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (*.f64 d d) D) |
(/.f64 d (/.f64 D d)) |
(*.f64 (/.f64 d D) d) |
(*.f64 d (/.f64 d D)) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (*.f64 d d) D) |
(/.f64 d (/.f64 D d)) |
(*.f64 (/.f64 d D) d) |
(*.f64 d (/.f64 d D)) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (*.f64 d d) D) |
(/.f64 d (/.f64 D d)) |
(*.f64 (/.f64 d D) d) |
(*.f64 d (/.f64 d D)) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (*.f64 d d) D) |
(/.f64 d (/.f64 D d)) |
(*.f64 (/.f64 d D) d) |
(*.f64 d (/.f64 d D)) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (*.f64 d d) D) |
(/.f64 d (/.f64 D d)) |
(*.f64 (/.f64 d D) d) |
(*.f64 d (/.f64 d D)) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (*.f64 d d) D) |
(/.f64 d (/.f64 D d)) |
(*.f64 (/.f64 d D) d) |
(*.f64 d (/.f64 d D)) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (*.f64 d d) D) |
(/.f64 d (/.f64 D d)) |
(*.f64 (/.f64 d D) d) |
(*.f64 d (/.f64 d D)) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (*.f64 d d) D) |
(/.f64 d (/.f64 D d)) |
(*.f64 (/.f64 d D) d) |
(*.f64 d (/.f64 d D)) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (*.f64 d d) D) |
(/.f64 d (/.f64 D d)) |
(*.f64 (/.f64 d D) d) |
(*.f64 d (/.f64 d D)) |
(/.f64 (pow.f64 d 2) D) |
(/.f64 (*.f64 d d) D) |
(/.f64 d (/.f64 D d)) |
(*.f64 (/.f64 d D) d) |
(*.f64 d (/.f64 d D)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 2.9b | (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 3.9b | (/.f64 (*.f64 M D) (*.f64 2 d)) | |
| 12.4b | (sqrt.f64 (/.f64 d l)) | |
| 13.7b | (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)) |
Compiled 145 to 72 computations (50.3% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | h | @ | -inf | (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 1.0ms | h | @ | inf | (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 1.0ms | l | @ | 0 | (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 1.0ms | l | @ | -inf | (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 1.0ms | l | @ | inf | (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 1× | batch-egg-rewrite |
| 808× | prod-diff_binary64 |
| 257× | add-sqr-sqrt_binary64 |
| 253× | pow1_binary64 |
| 251× | *-un-lft-identity_binary64 |
| 238× | add-log-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 41 |
| 1 | 525 | 38 |
| 2 | 7211 | 38 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (*.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 (/.f64 h d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (-.f64 1 (*.f64 1/8 (pow.f64 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) (/.f64 h l)) 3)))) (*.f64 (sqrt.f64 h) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) (/.f64 h l))) (*.f64 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 4) 1/4) (pow.f64 (/.f64 h l) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (-.f64 1 (*.f64 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 4) 1/4) (pow.f64 (/.f64 h l) 2)))) (*.f64 (sqrt.f64 h) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) (/.f64 h l))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 1/8 (pow.f64 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) (/.f64 h l)) 3))) (/.f64 d (sqrt.f64 l))) (*.f64 (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) (/.f64 h l))) (*.f64 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 4) 1/4) (pow.f64 (/.f64 h l) 2)))) (sqrt.f64 h)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 4) 1/4) (pow.f64 (/.f64 h l) 2))) (/.f64 d (sqrt.f64 l))) (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) (/.f64 h l)))) (sqrt.f64 h)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))) (sqrt.f64 h))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 d)) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))) (neg.f64 (sqrt.f64 h)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 h))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 1/8 (pow.f64 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) (/.f64 h l)) 3))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) (/.f64 h l))) (*.f64 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 4) 1/4) (pow.f64 (/.f64 h l) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 4) 1/4) (pow.f64 (/.f64 h l) 2))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) (/.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (-.f64 1 (*.f64 1/8 (pow.f64 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) (/.f64 h l)) 3)))) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) (/.f64 h l))) (*.f64 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 4) 1/4) (pow.f64 (/.f64 h l) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (-.f64 1 (*.f64 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 4) 1/4) (pow.f64 (/.f64 h l) 2)))) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) (/.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))) (/.f64 d (sqrt.f64 l))) (sqrt.f64 h))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))) 3)))) (#(struct:change 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-1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) 3) (pow.f64 (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))) 3) (pow.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))) (log.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))) (log.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))) 1)))))) |
| 1× | egg-herbie |
| 724× | associate-/l*_binary64 |
| 617× | div-sub_binary64 |
| 521× | distribute-neg-frac_binary64 |
| 456× | associate-/r*_binary64 |
| 405× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 1236 |
| 1 | 91 | 1236 |
| 2 | 260 | 1236 |
| 3 | 1121 | 1236 |
| 4 | 4594 | 1236 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (*.f64 l h))))) (*.f64 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (*.f64 l h))))) (*.f64 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (*.f64 l h))))) (*.f64 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
| Outputs |
|---|
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) -1/8)) |
(*.f64 -1/8 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (/.f64 (*.f64 -1/8 (*.f64 D M)) (/.f64 d (*.f64 D M)))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (/.f64 (*.f64 -1/8 D) (/.f64 d (*.f64 D M))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l)))) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l)))) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (*.f64 l h))))) (*.f64 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (*.f64 l h))))) (*.f64 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (*.f64 l h))))) (*.f64 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l)))) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
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(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 M M) (/.f64 D (/.f64 d D))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 D (*.f64 (/.f64 D d) (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))) |
Compiled 19384 to 8633 computations (55.5% saved)
67 alts after pruning (65 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 651 | 35 | 686 |
| Fresh | 17 | 30 | 47 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 672 | 67 | 739 |
| Status | Error | Program |
|---|---|---|
| 47.6b | (*.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 l h) -1/2))) d) | |
| 58.5b | (*.f64 (*.f64 D (*.f64 (/.f64 D (/.f64 d M)) M)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) | |
| 47.3b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) | |
| 43.8b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) 1)) | |
| 26.3b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) | |
| 41.8b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) 1)) | |
| 41.0b | (*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) | |
| 25.4b | (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 (/.f64 h d))) | |
| 31.2b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (pow.f64 (/.f64 l d) -1/2) 1)) | |
| 46.7b | (*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) | |
| 33.5b | (pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 1) | |
| 47.6b | (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) | |
| 46.4b | (*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h))) | |
| 32.5b | (*.f64 (cbrt.f64 (pow.f64 (/.f64 d h) 3/2)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) | |
| ▶ | 24.5b | (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) 1/4) (pow.f64 (/.f64 d h) 1/4)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
| 26.3b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) | |
| 26.9b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 d (*.f64 (/.f64 M l) (/.f64 D d)))) M)) 1))) | |
| 33.4b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (cbrt.f64 (pow.f64 (/.f64 d l) 3/2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) | |
| 45.9b | (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) | |
| 47.6b | (/.f64 d (exp.f64 (log.f64 (sqrt.f64 (*.f64 l h))))) | |
| 32.5b | (pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) | |
| 38.7b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 l))) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) | |
| 57.6b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) | |
| 59.3b | (log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) | |
| 44.7b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) | |
| 36.7b | (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) | |
| 26.3b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1))) | |
| 51.3b | (/.f64 (sqrt.f64 d) (pow.f64 (*.f64 (/.f64 l d) h) 1/2)) | |
| 45.0b | (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) | |
| 50.7b | (/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2))) | |
| 45.6b | (/.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 h)) | |
| 31.9b | (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) | |
| 33.7b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) | |
| ▶ | 31.2b | (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
| ▶ | 46.7b | (*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
| 32.5b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) | |
| 48.1b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) | |
| 47.6b | (/.f64 (*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))) (sqrt.f64 h)) | |
| 52.1b | (/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1)) | |
| 50.4b | (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2)) d) | |
| 38.0b | (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) | |
| 43.6b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) | |
| 46.8b | (pow.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) -1) | |
| 25.8b | (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) | |
| 53.1b | (*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) | |
| 46.8b | (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2)) | |
| 46.8b | (*.f64 (/.f64 1 (sqrt.f64 (*.f64 l h))) d) | |
| 57.6b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) | |
| 29.1b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (*.f64 (/.f64 d D) d))) M)) 1))) | |
| ✓ | 46.7b | (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
| 46.9b | (/.f64 d (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 l h))) 3)) | |
| ▶ | 47.0b | (pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
| 51.0b | (*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2) 1/3) d) | |
| 30.7b | (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) | |
| ✓ | 46.7b | (/.f64 d (sqrt.f64 (*.f64 l h))) |
| 53.2b | (fma.f64 (*.f64 M M) (*.f64 (/.f64 D (/.f64 d D)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) | |
| 51.3b | (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3)) | |
| 46.7b | (*.f64 (sqrt.f64 (*.f64 (/.f64 1 l) (/.f64 1 h))) d) | |
| 31.3b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) | |
| 26.2b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) | |
| 44.7b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) | |
| ▶ | 25.3b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 40.8b | (*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) | |
| 57.8b | (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (/.f64 (*.f64 -1/8 D) (/.f64 d (*.f64 D M))))) | |
| 46.9b | (*.f64 (sqrt.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 l h)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 l h)) -1))) d) | |
| 30.8b | (*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 d h) 3/2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) | |
| 32.4b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 (*.f64 l (/.f64 (*.f64 d d) D)) M)) M)) 1))) |
Compiled 3288 to 2392 computations (27.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 6.9b | (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) 1/4) (pow.f64 (/.f64 d h) 1/4)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
| 9.8b | (pow.f64 (/.f64 d h) 1/4) | |
| 12.4b | (sqrt.f64 (/.f64 d l)) | |
| 15.3b | (sqrt.f64 (/.f64 h l)) |
Compiled 175 to 86 computations (50.9% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | h | @ | -inf | (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) 1/4) (pow.f64 (/.f64 d h) 1/4)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
| 1.0ms | h | @ | inf | (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) 1/4) (pow.f64 (/.f64 d h) 1/4)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
| 1.0ms | l | @ | 0 | (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) 1/4) (pow.f64 (/.f64 d h) 1/4)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
| 1.0ms | l | @ | -inf | (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) 1/4) (pow.f64 (/.f64 d h) 1/4)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
| 1.0ms | l | @ | inf | (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) 1/4) (pow.f64 (/.f64 d h) 1/4)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
| 1× | batch-egg-rewrite |
| 416× | prod-diff_binary64 |
| 283× | add-sqr-sqrt_binary64 |
| 278× | pow1_binary64 |
| 276× | *-un-lft-identity_binary64 |
| 263× | add-log-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 46 |
| 1 | 593 | 39 |
| 2 | 7764 | 39 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) 1/4) (pow.f64 (/.f64 d h) 1/4)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (*.f64 (*.f64 (/.f64 h l) (neg.f64 (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2)))) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (*.f64 (/.f64 h l) (neg.f64 (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2))) 3)) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) (+.f64 1 (+.f64 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2))) (pow.f64 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2))) 2)) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (pow.f64 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2))) 3))) (+.f64 1 (+.f64 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2))) (pow.f64 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (pow.f64 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2))) 2))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2)))) 2) (*.f64 (/.f64 d h) (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2))))) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) 3) (pow.f64 (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2)))) 3) (pow.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (-.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 1/2 (/.f64 D d))) 2)))))) 1)))))) |
| 1× | egg-herbie |
| 631× | associate-/r/_binary64 |
| 512× | fma-neg_binary64 |
| 475× | fma-def_binary64 |
| 358× | div-sub_binary64 |
| 345× | unswap-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 1492 |
| 1 | 125 | 1236 |
| 2 | 400 | 1236 |
| 3 | 2057 | 1236 |
| 4 | 5125 | 1236 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (*.f64 l h))))) (*.f64 1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2)))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (*.f64 l h))))) (*.f64 1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2)))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (*.f64 l h))))) (*.f64 1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2)))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
| Outputs |
|---|
(*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (*.f64 D D) (*.f64 M M))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (/.f64 -1/8 (/.f64 (/.f64 d (*.f64 M M)) (*.f64 D D)))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 (/.f64 d (*.f64 M M))) (*.f64 D D))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 d) (*.f64 D (*.f64 D (*.f64 M M))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(fma.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (*.f64 D D) (*.f64 M M))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (/.f64 -1/8 (/.f64 (/.f64 d (*.f64 M M)) (*.f64 D D))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 (/.f64 d (*.f64 M M))) (*.f64 D D)))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 d) (*.f64 D (*.f64 D (*.f64 M M)))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(fma.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (*.f64 D D) (*.f64 M M))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (/.f64 -1/8 (/.f64 (/.f64 d (*.f64 M M)) (*.f64 D D))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 (/.f64 d (*.f64 M M))) (*.f64 D D)))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 d) (*.f64 D (*.f64 D (*.f64 M M)))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(fma.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (*.f64 D D) (*.f64 M M))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (/.f64 -1/8 (/.f64 (/.f64 d (*.f64 M M)) (*.f64 D D))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 (/.f64 d (*.f64 M M))) (*.f64 D D)))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 d) (*.f64 D (*.f64 D (*.f64 M M)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l)))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 D 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
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(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (/.f64 -1/8 (/.f64 (/.f64 d (*.f64 M M)) (*.f64 D D))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 (/.f64 d (*.f64 M M))) (*.f64 D D)))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 d) (*.f64 D (*.f64 D (*.f64 M M)))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(fma.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (*.f64 D D) (*.f64 M M))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (/.f64 -1/8 (/.f64 (/.f64 d (*.f64 M M)) (*.f64 D D))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 (/.f64 d (*.f64 M M))) (*.f64 D D)))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 d) (*.f64 D (*.f64 D (*.f64 M M)))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(fma.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (*.f64 D D) (*.f64 M M))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (/.f64 -1/8 (/.f64 (/.f64 d (*.f64 M M)) (*.f64 D D))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 (/.f64 d (*.f64 M M))) (*.f64 D D)))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 d) (*.f64 D (*.f64 D (*.f64 M M)))))) |
(*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (*.f64 D D) (*.f64 M M))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (/.f64 -1/8 (/.f64 (/.f64 d (*.f64 M M)) (*.f64 D D)))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 (/.f64 d (*.f64 M M))) (*.f64 D D))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 d) (*.f64 D (*.f64 D (*.f64 M M))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(fma.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (*.f64 D D) (*.f64 M M))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (/.f64 -1/8 (/.f64 (/.f64 d (*.f64 M M)) (*.f64 D D))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 (/.f64 d (*.f64 M M))) (*.f64 D D)))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 d) (*.f64 D (*.f64 D (*.f64 M M)))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(fma.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (*.f64 D D) (*.f64 M M))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (/.f64 -1/8 (/.f64 (/.f64 d (*.f64 M M)) (*.f64 D D))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 (/.f64 d (*.f64 M M))) (*.f64 D D)))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 d) (*.f64 D (*.f64 D (*.f64 M M)))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(fma.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (*.f64 D D) (*.f64 M M))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (/.f64 -1/8 (/.f64 (/.f64 d (*.f64 M M)) (*.f64 D D))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 (/.f64 d (*.f64 M M))) (*.f64 D D)))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 d) (*.f64 D (*.f64 D (*.f64 M M)))))) |
(*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (*.f64 D D) (*.f64 M M))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (/.f64 -1/8 (/.f64 (/.f64 d (*.f64 M M)) (*.f64 D D)))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 (/.f64 d (*.f64 M M))) (*.f64 D D))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 d) (*.f64 D (*.f64 D (*.f64 M M))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(fma.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (*.f64 D D) (*.f64 M M))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (/.f64 -1/8 (/.f64 (/.f64 d (*.f64 M M)) (*.f64 D D))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 (/.f64 d (*.f64 M M))) (*.f64 D D)))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 d) (*.f64 D (*.f64 D (*.f64 M M)))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(fma.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (*.f64 D D) (*.f64 M M))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (/.f64 -1/8 (/.f64 (/.f64 d (*.f64 M M)) (*.f64 D D))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 (/.f64 d (*.f64 M M))) (*.f64 D D)))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 d) (*.f64 D (*.f64 D (*.f64 M M)))))) |
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 M 2))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d)) |
(fma.f64 -1/4 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (*.f64 D D) (*.f64 M M))) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (/.f64 -1/8 (/.f64 (/.f64 d (*.f64 M M)) (*.f64 D D))))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 (/.f64 d (*.f64 M M))) (*.f64 D D)))) |
(fma.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 -1/8 d) (*.f64 D (*.f64 D (*.f64 M M)))))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
| ✓ | 15.8b | (pow.f64 (*.f64 l h) -1/2) |
Compiled 24 to 12 computations (50% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 74.0ms | h | @ | 0 | (pow.f64 (*.f64 l h) -1/2) |
| 19.0ms | l | @ | -inf | (pow.f64 (*.f64 l h) -1/2) |
| 16.0ms | l | @ | 0 | (pow.f64 (*.f64 l h) -1/2) |
| 14.0ms | h | @ | inf | (pow.f64 (*.f64 l h) -1/2) |
| 14.0ms | h | @ | -inf | (pow.f64 (*.f64 l h) -1/2) |
| 1× | batch-egg-rewrite |
| 776× | pow1_binary64 |
| 716× | add-log-exp_binary64 |
| 716× | log1p-expm1-u_binary64 |
| 716× | expm1-log1p-u_binary64 |
| 698× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 167 | 17 |
| 2 | 1964 | 17 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (*.f64 l h) -1/2) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l h) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 l h) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 l h) -1/2)) (cbrt.f64 (pow.f64 (*.f64 l h) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 l h) -1)) (cbrt.f64 (pow.f64 (*.f64 l h) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l -1/2) (pow.f64 h -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 h -1/2) (pow.f64 l -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l h) -1/4) (pow.f64 (*.f64 l h) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 (*.f64 l h) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 l h)) 2) -1/2) (pow.f64 (cbrt.f64 (*.f64 l h)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 l h)) -1/2) (pow.f64 (sqrt.f64 (*.f64 l h)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 l h) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 l h) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 l h) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 l h) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 l h) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 (*.f64 l h)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 l h) -1/2) d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 l h) -1/2) d) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 l h) -1/2) d) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 l h) -1/2) d)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 d) (pow.f64 (*.f64 l h) -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 l h) -1) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 l h) -1/2)) d))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 l h) -1/2) d) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 l h) -1/2) 3) (pow.f64 d 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 d 3) (pow.f64 (pow.f64 (*.f64 l h) -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 l h) -1/2) d)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (*.f64 l h) -1/2) d)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (*.f64 l h) -1/2) d))))))) |
| 1× | egg-herbie |
| 741× | fma-def_binary64 |
| 517× | fma-neg_binary64 |
| 516× | div-sub_binary64 |
| 298× | distribute-rgt-in_binary64 |
| 294× | exp-sum_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 456 |
| 1 | 119 | 456 |
| 2 | 287 | 384 |
| 3 | 728 | 312 |
| 4 | 1959 | 312 |
| 5 | 5210 | 288 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 l) (log.f64 h)))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 l) (log.f64 h)))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 l) (log.f64 h)))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 l) (log.f64 h)))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 h) (*.f64 -1 (log.f64 (/.f64 1 l)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 h) (*.f64 -1 (log.f64 (/.f64 1 l)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 h) (*.f64 -1 (log.f64 (/.f64 1 l)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 h) (*.f64 -1 (log.f64 (/.f64 1 l)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 h)) (*.f64 -1 (log.f64 (/.f64 -1 l)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 h)) (*.f64 -1 (log.f64 (/.f64 -1 l)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 h)) (*.f64 -1 (log.f64 (/.f64 -1 l)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 h)) (*.f64 -1 (log.f64 (/.f64 -1 l)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 h) (log.f64 l)))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 h) (log.f64 l)))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 h) (log.f64 l)))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 h) (log.f64 l)))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 l) (*.f64 -1 (log.f64 (/.f64 1 h)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 l) (*.f64 -1 (log.f64 (/.f64 1 h)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 l) (*.f64 -1 (log.f64 (/.f64 1 h)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 l) (*.f64 -1 (log.f64 (/.f64 1 h)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 l)) (*.f64 -1 (log.f64 (/.f64 -1 h)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 l)) (*.f64 -1 (log.f64 (/.f64 -1 h)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 l)) (*.f64 -1 (log.f64 (/.f64 -1 h)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 l)) (*.f64 -1 (log.f64 (/.f64 -1 h)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
| Outputs |
|---|
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 l) (log.f64 h)))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 l) (log.f64 h))) |
(*.f64 (pow.f64 l -1/2) (pow.f64 h -1/2)) |
(pow.f64 (*.f64 h l) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 l) (log.f64 h)))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 l) (log.f64 h))) |
(*.f64 (pow.f64 l -1/2) (pow.f64 h -1/2)) |
(pow.f64 (*.f64 h l) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 l) (log.f64 h)))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 l) (log.f64 h))) |
(*.f64 (pow.f64 l -1/2) (pow.f64 h -1/2)) |
(pow.f64 (*.f64 h l) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 l) (log.f64 h)))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 l) (log.f64 h))) |
(*.f64 (pow.f64 l -1/2) (pow.f64 h -1/2)) |
(pow.f64 (*.f64 h l) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 h) (*.f64 -1 (log.f64 (/.f64 1 l)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 l) (log.f64 h))) |
(*.f64 (pow.f64 l -1/2) (pow.f64 h -1/2)) |
(pow.f64 (*.f64 h l) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 h) (*.f64 -1 (log.f64 (/.f64 1 l)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 l) (log.f64 h))) |
(*.f64 (pow.f64 l -1/2) (pow.f64 h -1/2)) |
(pow.f64 (*.f64 h l) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 h) (*.f64 -1 (log.f64 (/.f64 1 l)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 l) (log.f64 h))) |
(*.f64 (pow.f64 l -1/2) (pow.f64 h -1/2)) |
(pow.f64 (*.f64 h l) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 h) (*.f64 -1 (log.f64 (/.f64 1 l)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 l) (log.f64 h))) |
(*.f64 (pow.f64 l -1/2) (pow.f64 h -1/2)) |
(pow.f64 (*.f64 h l) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 h)) (*.f64 -1 (log.f64 (/.f64 -1 l)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 l) (log.f64 h))) |
(*.f64 (pow.f64 l -1/2) (pow.f64 h -1/2)) |
(pow.f64 (*.f64 h l) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 h)) (*.f64 -1 (log.f64 (/.f64 -1 l)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 l) (log.f64 h))) |
(*.f64 (pow.f64 l -1/2) (pow.f64 h -1/2)) |
(pow.f64 (*.f64 h l) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 h)) (*.f64 -1 (log.f64 (/.f64 -1 l)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 l) (log.f64 h))) |
(*.f64 (pow.f64 l -1/2) (pow.f64 h -1/2)) |
(pow.f64 (*.f64 h l) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 h)) (*.f64 -1 (log.f64 (/.f64 -1 l)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 l) (log.f64 h))) |
(*.f64 (pow.f64 l -1/2) (pow.f64 h -1/2)) |
(pow.f64 (*.f64 h l) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 h) (log.f64 l)))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 l) (log.f64 h))) |
(*.f64 (pow.f64 l -1/2) (pow.f64 h -1/2)) |
(pow.f64 (*.f64 h l) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 h) (log.f64 l)))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 l) (log.f64 h))) |
(*.f64 (pow.f64 l -1/2) (pow.f64 h -1/2)) |
(pow.f64 (*.f64 h l) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 h) (log.f64 l)))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 l) (log.f64 h))) |
(*.f64 (pow.f64 l -1/2) (pow.f64 h -1/2)) |
(pow.f64 (*.f64 h l) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 h) (log.f64 l)))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 l) (log.f64 h))) |
(*.f64 (pow.f64 l -1/2) (pow.f64 h -1/2)) |
(pow.f64 (*.f64 h l) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 l) (*.f64 -1 (log.f64 (/.f64 1 h)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 l) (log.f64 h))) |
(*.f64 (pow.f64 l -1/2) (pow.f64 h -1/2)) |
(pow.f64 (*.f64 h l) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 l) (*.f64 -1 (log.f64 (/.f64 1 h)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 l) (log.f64 h))) |
(*.f64 (pow.f64 l -1/2) (pow.f64 h -1/2)) |
(pow.f64 (*.f64 h l) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 l) (*.f64 -1 (log.f64 (/.f64 1 h)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 l) (log.f64 h))) |
(*.f64 (pow.f64 l -1/2) (pow.f64 h -1/2)) |
(pow.f64 (*.f64 h l) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 l) (*.f64 -1 (log.f64 (/.f64 1 h)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 l) (log.f64 h))) |
(*.f64 (pow.f64 l -1/2) (pow.f64 h -1/2)) |
(pow.f64 (*.f64 h l) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 l)) (*.f64 -1 (log.f64 (/.f64 -1 h)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 l) (log.f64 h))) |
(*.f64 (pow.f64 l -1/2) (pow.f64 h -1/2)) |
(pow.f64 (*.f64 h l) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 l)) (*.f64 -1 (log.f64 (/.f64 -1 h)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 l) (log.f64 h))) |
(*.f64 (pow.f64 l -1/2) (pow.f64 h -1/2)) |
(pow.f64 (*.f64 h l) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 l)) (*.f64 -1 (log.f64 (/.f64 -1 h)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 l) (log.f64 h))) |
(*.f64 (pow.f64 l -1/2) (pow.f64 h -1/2)) |
(pow.f64 (*.f64 h l) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 l)) (*.f64 -1 (log.f64 (/.f64 -1 h)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 l) (log.f64 h))) |
(*.f64 (pow.f64 l -1/2) (pow.f64 h -1/2)) |
(pow.f64 (*.f64 h l) -1/2) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) d) |
(*.f64 (pow.f64 (*.f64 h l) -1/2) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) d) |
(*.f64 (pow.f64 (*.f64 h l) -1/2) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) d) |
(*.f64 (pow.f64 (*.f64 h l) -1/2) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) d) |
(*.f64 (pow.f64 (*.f64 h l) -1/2) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) d) |
(*.f64 (pow.f64 (*.f64 h l) -1/2) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) d) |
(*.f64 (pow.f64 (*.f64 h l) -1/2) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) d) |
(*.f64 (pow.f64 (*.f64 h l) -1/2) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) d) |
(*.f64 (pow.f64 (*.f64 h l) -1/2) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) d) |
(*.f64 (pow.f64 (*.f64 h l) -1/2) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) d) |
(*.f64 (pow.f64 (*.f64 h l) -1/2) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) d) |
(*.f64 (pow.f64 (*.f64 h l) -1/2) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) d) |
(*.f64 (pow.f64 (*.f64 h l) -1/2) d) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
| 9.7b | (sqrt.f64 (/.f64 d h)) | |
| 12.6b | (sqrt.f64 (/.f64 l d)) |
Compiled 31 to 10 computations (67.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | d | @ | 0 | (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
| 0.0ms | l | @ | -inf | (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
| 0.0ms | h | @ | -inf | (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
| 0.0ms | h | @ | inf | (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
| 0.0ms | l | @ | inf | (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
| 1× | batch-egg-rewrite |
| 548× | log-prod_binary64 |
| 403× | exp-prod_binary64 |
| 336× | pow-prod-down_binary64 |
| 255× | pow2_binary64 |
| 187× | log-div_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 12 |
| 1 | 197 | 12 |
| 2 | 2794 | 12 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 1/6) (cbrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 d h)) (*.f64 (pow.f64 (/.f64 d h) 1/6) (sqrt.f64 (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 d h) 1/4) (*.f64 (pow.f64 (/.f64 d h) 1/4) (sqrt.f64 (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 1/4) (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 l d)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 d h)) (cbrt.f64 (/.f64 l d))) (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 d h)) 1) (/.f64 (pow.f64 (/.f64 d h) 1/6) (sqrt.f64 (/.f64 l d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 d h) 1/4) 1) (/.f64 (pow.f64 (/.f64 d h) 1/4) (sqrt.f64 (/.f64 l d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (/.f64 l d))) (/.f64 (sqrt.f64 (/.f64 d h)) (pow.f64 (/.f64 l d) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 d h) 1/4) (cbrt.f64 (/.f64 l d))) (/.f64 (pow.f64 (/.f64 d h) 1/4) (pow.f64 (/.f64 l d) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 l d) -1/4) (/.f64 (sqrt.f64 (/.f64 d h)) (pow.f64 (/.f64 l d) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 d h)) (pow.f64 (/.f64 l d) 1/4)) (/.f64 (pow.f64 (/.f64 d h) 1/6) (pow.f64 (/.f64 l d) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 l)) (sqrt.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 l d) (/.f64 d h))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 h d) -3/2) (pow.f64 (/.f64 l d) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 l d) (/.f64 d h))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d)))))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 (/.f64 l d)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 h d) -3/2) (pow.f64 (/.f64 l d) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 d h) (/.f64 l d))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 l d) (/.f64 d h)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d)))) 1) 1)))))) |
| 1× | egg-herbie |
| 38× | fma-def_binary64 |
| 9× | sub-neg_binary64 |
| 6× | +-commutative_binary64 |
| 5× | *-commutative_binary64 |
| 4× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 152 |
| 1 | 21 | 152 |
| 2 | 35 | 152 |
| 3 | 39 | 152 |
| 4 | 43 | 152 |
| 5 | 61 | 152 |
| 6 | 83 | 152 |
| 7 | 94 | 152 |
| 8 | 106 | 152 |
| 9 | 131 | 152 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (/.f64 d (sqrt.f64 (*.f64 l h))) | |
| ✓ | 0.7b | (pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
| ✓ | 5.2b | (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) |
| 15.8b | (sqrt.f64 (*.f64 l h)) |
Compiled 38 to 12 computations (68.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | l | @ | 0 | (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) |
| 15.0ms | h | @ | 0 | (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) |
| 12.0ms | h | @ | inf | (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) |
| 9.0ms | l | @ | inf | (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) |
| 2.0ms | l | @ | -inf | (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) |
| 1× | batch-egg-rewrite |
| 918× | pow1_binary64 |
| 860× | add-log-exp_binary64 |
| 860× | log1p-expm1-u_binary64 |
| 860× | expm1-log1p-u_binary64 |
| 838× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 20 |
| 1 | 213 | 20 |
| 2 | 2383 | 20 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 d d) (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 d d) (*.f64 l h)))) (cbrt.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 d) (cbrt.f64 (pow.f64 (*.f64 l h) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 d) (pow.f64 (pow.f64 (*.f64 l h) -1/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 d) (/.f64 1 (cbrt.f64 (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 1/6) (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1/3) (pow.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 l h))) (cbrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 d) (cbrt.f64 (sqrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 d)) (cbrt.f64 (neg.f64 (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 d)) (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 d (pow.f64 (*.f64 l h) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) (cbrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 d d) (*.f64 l h)))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) (cbrt.f64 (/.f64 (*.f64 d d) (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 d d)) (*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 1/6) (*.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 1/6) (cbrt.f64 (/.f64 (*.f64 d d) (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 d) (pow.f64 (*.f64 l h) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 d) (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l h) -1/2) d)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 d d) (*.f64 l h)))) 3) (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 1/6) 3) (pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 d d)) 1) (/.f64 (cbrt.f64 d) (sqrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 d) 1) (/.f64 (sqrt.f64 d) (sqrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 l h))) (/.f64 d (cbrt.f64 (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 d) (cbrt.f64 (*.f64 l h))) (/.f64 (sqrt.f64 d) (cbrt.f64 (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (*.f64 l h) 1/4)) (/.f64 d (pow.f64 (*.f64 l h) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 d d)) (pow.f64 (*.f64 l h) 1/4)) (/.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 d d)) (sqrt.f64 l)) (/.f64 (cbrt.f64 d) (sqrt.f64 h)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) 1) (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))) (cbrt.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 1/6)) (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 d (sqrt.f64 (*.f64 l h)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (*.f64 l h)) d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 d d)) (/.f64 (sqrt.f64 (*.f64 l h)) (cbrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 d) (/.f64 (sqrt.f64 (*.f64 l h)) (sqrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 d) (neg.f64 (sqrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 d)) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 d (pow.f64 (*.f64 l h) 1/4)) (pow.f64 (*.f64 l h) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 d 1) (sqrt.f64 (*.f64 l h)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 d (cbrt.f64 (*.f64 l h))) (cbrt.f64 (sqrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 d) (cbrt.f64 (/.f64 (*.f64 d d) (*.f64 l h)))) (cbrt.f64 (sqrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) (cbrt.f64 d)) (cbrt.f64 (sqrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 d (neg.f64 (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 d 3) (pow.f64 (*.f64 l h) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))))) |
| 1× | egg-herbie |
| 701× | fma-def_binary64 |
| 612× | associate-*l*_binary64 |
| 548× | associate-*r*_binary64 |
| 216× | times-frac_binary64 |
| 201× | fma-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 1168 |
| 1 | 183 | 1080 |
| 2 | 428 | 872 |
| 3 | 1450 | 824 |
| 4 | 4859 | 704 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (*.f64 1 d) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 1 h)))))) |
(*.f64 (pow.f64 (*.f64 1 d) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 1 h)))))) |
(*.f64 (pow.f64 (*.f64 1 d) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 1 h)))))) |
(*.f64 (pow.f64 (*.f64 1 d) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 1 h)))))) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) (pow.f64 (*.f64 1 d) 1/3)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) (pow.f64 (*.f64 1 d) 1/3)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) (pow.f64 (*.f64 1 d) 1/3)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) (pow.f64 (*.f64 1 d) 1/3)) |
(*.f64 (pow.f64 (/.f64 (*.f64 1 d) (sqrt.f64 -1)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (/.f64 1 h)))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 1 d) (sqrt.f64 -1)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (/.f64 1 h)))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 1 d) (sqrt.f64 -1)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (/.f64 1 h)))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 1 d) (sqrt.f64 -1)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (/.f64 1 h)))))) |
(*.f64 (pow.f64 (*.f64 1 d) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (*.f64 -1 (log.f64 h)))))) |
(*.f64 (pow.f64 (*.f64 1 d) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (*.f64 -1 (log.f64 h)))))) |
(*.f64 (pow.f64 (*.f64 1 d) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (*.f64 -1 (log.f64 h)))))) |
(*.f64 (pow.f64 (*.f64 1 d) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (*.f64 -1 (log.f64 h)))))) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) (pow.f64 (*.f64 1 d) 1/3)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) (pow.f64 (*.f64 1 d) 1/3)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) (pow.f64 (*.f64 1 d) 1/3)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) (pow.f64 (*.f64 1 d) 1/3)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 -1 h))))) (pow.f64 (/.f64 (*.f64 1 d) (sqrt.f64 -1)) 1/3)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 -1 h))))) (pow.f64 (/.f64 (*.f64 1 d) (sqrt.f64 -1)) 1/3)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 -1 h))))) (pow.f64 (/.f64 (*.f64 1 d) (sqrt.f64 -1)) 1/3)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 -1 h))))) (pow.f64 (/.f64 (*.f64 1 d) (sqrt.f64 -1)) 1/3)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 1 h))))) 3) d)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 1 h))))) 3) d)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 1 h))))) 3) d)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 1 h))))) 3) d)) |
(*.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) 3) d) (pow.f64 1 1/3)) |
(*.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) 3) d) (pow.f64 1 1/3)) |
(*.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) 3) d) (pow.f64 1 1/3)) |
(*.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) 3) d) (pow.f64 1 1/3)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (/.f64 1 h))))) 3) d) (sqrt.f64 -1)) (pow.f64 1 1/3)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (/.f64 1 h))))) 3) d) (sqrt.f64 -1)) (pow.f64 1 1/3)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (/.f64 1 h))))) 3) d) (sqrt.f64 -1)) (pow.f64 1 1/3)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (/.f64 1 h))))) 3) d) (sqrt.f64 -1)) (pow.f64 1 1/3)) |
(*.f64 (pow.f64 1 1/3) (*.f64 d (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (*.f64 -1 (log.f64 h))))) 3))) |
(*.f64 (pow.f64 1 1/3) (*.f64 d (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (*.f64 -1 (log.f64 h))))) 3))) |
(*.f64 (pow.f64 1 1/3) (*.f64 d (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (*.f64 -1 (log.f64 h))))) 3))) |
(*.f64 (pow.f64 1 1/3) (*.f64 d (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (*.f64 -1 (log.f64 h))))) 3))) |
(*.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) 3) d) (pow.f64 1 1/3)) |
(*.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) 3) d) (pow.f64 1 1/3)) |
(*.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) 3) d) (pow.f64 1 1/3)) |
(*.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) 3) d) (pow.f64 1 1/3)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 -1 h))))) 3) d) (sqrt.f64 -1)) (pow.f64 1 1/3)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 -1 h))))) 3) d) (sqrt.f64 -1)) (pow.f64 1 1/3)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 -1 h))))) 3) d) (sqrt.f64 -1)) (pow.f64 1 1/3)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 -1 h))))) 3) d) (sqrt.f64 -1)) (pow.f64 1 1/3)) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 1 d) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 1 h)))))) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 l) (neg.f64 (log.f64 h))))) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 h)) (log.f64 l)))) |
(*.f64 (*.f64 (cbrt.f64 d) (pow.f64 l -1/6)) (pow.f64 h -1/6)) |
(*.f64 (cbrt.f64 d) (*.f64 (pow.f64 h -1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) |
(*.f64 (pow.f64 (*.f64 1 d) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 1 h)))))) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 l) (neg.f64 (log.f64 h))))) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 h)) (log.f64 l)))) |
(*.f64 (*.f64 (cbrt.f64 d) (pow.f64 l -1/6)) (pow.f64 h -1/6)) |
(*.f64 (cbrt.f64 d) (*.f64 (pow.f64 h -1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) |
(*.f64 (pow.f64 (*.f64 1 d) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 1 h)))))) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 l) (neg.f64 (log.f64 h))))) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 h)) (log.f64 l)))) |
(*.f64 (*.f64 (cbrt.f64 d) (pow.f64 l -1/6)) (pow.f64 h -1/6)) |
(*.f64 (cbrt.f64 d) (*.f64 (pow.f64 h -1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) |
(*.f64 (pow.f64 (*.f64 1 d) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 1 h)))))) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 l) (neg.f64 (log.f64 h))))) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 h)) (log.f64 l)))) |
(*.f64 (*.f64 (cbrt.f64 d) (pow.f64 l -1/6)) (pow.f64 h -1/6)) |
(*.f64 (cbrt.f64 d) (*.f64 (pow.f64 h -1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) (pow.f64 (*.f64 1 d) 1/3)) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 l) (neg.f64 (log.f64 h))))) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 h)) (log.f64 l)))) |
(*.f64 (*.f64 (cbrt.f64 d) (pow.f64 l -1/6)) (pow.f64 h -1/6)) |
(*.f64 (cbrt.f64 d) (*.f64 (pow.f64 h -1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) (pow.f64 (*.f64 1 d) 1/3)) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 l) (neg.f64 (log.f64 h))))) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 h)) (log.f64 l)))) |
(*.f64 (*.f64 (cbrt.f64 d) (pow.f64 l -1/6)) (pow.f64 h -1/6)) |
(*.f64 (cbrt.f64 d) (*.f64 (pow.f64 h -1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) (pow.f64 (*.f64 1 d) 1/3)) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 l) (neg.f64 (log.f64 h))))) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 h)) (log.f64 l)))) |
(*.f64 (*.f64 (cbrt.f64 d) (pow.f64 l -1/6)) (pow.f64 h -1/6)) |
(*.f64 (cbrt.f64 d) (*.f64 (pow.f64 h -1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) (pow.f64 (*.f64 1 d) 1/3)) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 l) (neg.f64 (log.f64 h))))) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 h)) (log.f64 l)))) |
(*.f64 (*.f64 (cbrt.f64 d) (pow.f64 l -1/6)) (pow.f64 h -1/6)) |
(*.f64 (cbrt.f64 d) (*.f64 (pow.f64 h -1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) |
(*.f64 (pow.f64 (/.f64 (*.f64 1 d) (sqrt.f64 -1)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (/.f64 1 h)))))) |
(*.f64 (cbrt.f64 (/.f64 d (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 h)) (log.f64 (/.f64 -1 l))))) |
(*.f64 (cbrt.f64 (/.f64 d (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (/.f64 -1 l)) (log.f64 h)))) |
(*.f64 (cbrt.f64 (/.f64 d (sqrt.f64 -1))) (*.f64 (pow.f64 (/.f64 -1 l) 1/6) (pow.f64 h -1/6))) |
(*.f64 (cbrt.f64 (/.f64 d (sqrt.f64 -1))) (pow.f64 (/.f64 -1 (*.f64 l h)) 1/6)) |
(*.f64 (cbrt.f64 (/.f64 d (sqrt.f64 -1))) (pow.f64 (/.f64 (/.f64 -1 l) h) 1/6)) |
(*.f64 (pow.f64 (/.f64 (*.f64 1 d) (sqrt.f64 -1)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (/.f64 1 h)))))) |
(*.f64 (cbrt.f64 (/.f64 d (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 h)) (log.f64 (/.f64 -1 l))))) |
(*.f64 (cbrt.f64 (/.f64 d (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (/.f64 -1 l)) (log.f64 h)))) |
(*.f64 (cbrt.f64 (/.f64 d (sqrt.f64 -1))) (*.f64 (pow.f64 (/.f64 -1 l) 1/6) (pow.f64 h -1/6))) |
(*.f64 (cbrt.f64 (/.f64 d (sqrt.f64 -1))) (pow.f64 (/.f64 -1 (*.f64 l h)) 1/6)) |
(*.f64 (cbrt.f64 (/.f64 d (sqrt.f64 -1))) (pow.f64 (/.f64 (/.f64 -1 l) h) 1/6)) |
(*.f64 (pow.f64 (/.f64 (*.f64 1 d) (sqrt.f64 -1)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (/.f64 1 h)))))) |
(*.f64 (cbrt.f64 (/.f64 d (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 h)) (log.f64 (/.f64 -1 l))))) |
(*.f64 (cbrt.f64 (/.f64 d (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (/.f64 -1 l)) (log.f64 h)))) |
(*.f64 (cbrt.f64 (/.f64 d (sqrt.f64 -1))) (*.f64 (pow.f64 (/.f64 -1 l) 1/6) (pow.f64 h -1/6))) |
(*.f64 (cbrt.f64 (/.f64 d (sqrt.f64 -1))) (pow.f64 (/.f64 -1 (*.f64 l h)) 1/6)) |
(*.f64 (cbrt.f64 (/.f64 d (sqrt.f64 -1))) (pow.f64 (/.f64 (/.f64 -1 l) h) 1/6)) |
(*.f64 (pow.f64 (/.f64 (*.f64 1 d) (sqrt.f64 -1)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (/.f64 1 h)))))) |
(*.f64 (cbrt.f64 (/.f64 d (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 h)) (log.f64 (/.f64 -1 l))))) |
(*.f64 (cbrt.f64 (/.f64 d (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (/.f64 -1 l)) (log.f64 h)))) |
(*.f64 (cbrt.f64 (/.f64 d (sqrt.f64 -1))) (*.f64 (pow.f64 (/.f64 -1 l) 1/6) (pow.f64 h -1/6))) |
(*.f64 (cbrt.f64 (/.f64 d (sqrt.f64 -1))) (pow.f64 (/.f64 -1 (*.f64 l h)) 1/6)) |
(*.f64 (cbrt.f64 (/.f64 d (sqrt.f64 -1))) (pow.f64 (/.f64 (/.f64 -1 l) h) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 d) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (*.f64 -1 (log.f64 h)))))) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 l) (neg.f64 (log.f64 h))))) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 h)) (log.f64 l)))) |
(*.f64 (*.f64 (cbrt.f64 d) (pow.f64 l -1/6)) (pow.f64 h -1/6)) |
(*.f64 (cbrt.f64 d) (*.f64 (pow.f64 h -1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) |
(*.f64 (pow.f64 (*.f64 1 d) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (*.f64 -1 (log.f64 h)))))) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 l) (neg.f64 (log.f64 h))))) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 h)) (log.f64 l)))) |
(*.f64 (*.f64 (cbrt.f64 d) (pow.f64 l -1/6)) (pow.f64 h -1/6)) |
(*.f64 (cbrt.f64 d) (*.f64 (pow.f64 h -1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) |
(*.f64 (pow.f64 (*.f64 1 d) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (*.f64 -1 (log.f64 h)))))) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 l) (neg.f64 (log.f64 h))))) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 h)) (log.f64 l)))) |
(*.f64 (*.f64 (cbrt.f64 d) (pow.f64 l -1/6)) (pow.f64 h -1/6)) |
(*.f64 (cbrt.f64 d) (*.f64 (pow.f64 h -1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) |
(*.f64 (pow.f64 (*.f64 1 d) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (*.f64 -1 (log.f64 h)))))) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 l) (neg.f64 (log.f64 h))))) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 h)) (log.f64 l)))) |
(*.f64 (*.f64 (cbrt.f64 d) (pow.f64 l -1/6)) (pow.f64 h -1/6)) |
(*.f64 (cbrt.f64 d) (*.f64 (pow.f64 h -1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) (pow.f64 (*.f64 1 d) 1/3)) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 l) (neg.f64 (log.f64 h))))) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 h)) (log.f64 l)))) |
(*.f64 (*.f64 (cbrt.f64 d) (pow.f64 l -1/6)) (pow.f64 h -1/6)) |
(*.f64 (cbrt.f64 d) (*.f64 (pow.f64 h -1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) (pow.f64 (*.f64 1 d) 1/3)) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 l) (neg.f64 (log.f64 h))))) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 h)) (log.f64 l)))) |
(*.f64 (*.f64 (cbrt.f64 d) (pow.f64 l -1/6)) (pow.f64 h -1/6)) |
(*.f64 (cbrt.f64 d) (*.f64 (pow.f64 h -1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) (pow.f64 (*.f64 1 d) 1/3)) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 l) (neg.f64 (log.f64 h))))) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 h)) (log.f64 l)))) |
(*.f64 (*.f64 (cbrt.f64 d) (pow.f64 l -1/6)) (pow.f64 h -1/6)) |
(*.f64 (cbrt.f64 d) (*.f64 (pow.f64 h -1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) (pow.f64 (*.f64 1 d) 1/3)) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 l) (neg.f64 (log.f64 h))))) |
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 h)) (log.f64 l)))) |
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(/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (/.f64 -1 l)) (log.f64 h))) 3) (/.f64 (sqrt.f64 -1) d)) |
(*.f64 (/.f64 d (sqrt.f64 -1)) (pow.f64 (*.f64 (pow.f64 (/.f64 -1 l) 1/6) (pow.f64 h -1/6)) 3)) |
(*.f64 (/.f64 d (sqrt.f64 -1)) (pow.f64 (pow.f64 (/.f64 -1 (*.f64 l h)) 1/6) 3)) |
(*.f64 (/.f64 d (sqrt.f64 -1)) (pow.f64 (/.f64 (/.f64 -1 l) h) 1/2)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 -1 h))))) 3) d) (sqrt.f64 -1)) (pow.f64 1 1/3)) |
(*.f64 1 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 h)) (log.f64 (/.f64 -1 l)))) 3) (/.f64 (sqrt.f64 -1) d))) |
(/.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (/.f64 -1 l)) (log.f64 h))) 3) (/.f64 (sqrt.f64 -1) d)) |
(*.f64 (/.f64 d (sqrt.f64 -1)) (pow.f64 (*.f64 (pow.f64 (/.f64 -1 l) 1/6) (pow.f64 h -1/6)) 3)) |
(*.f64 (/.f64 d (sqrt.f64 -1)) (pow.f64 (pow.f64 (/.f64 -1 (*.f64 l h)) 1/6) 3)) |
(*.f64 (/.f64 d (sqrt.f64 -1)) (pow.f64 (/.f64 (/.f64 -1 l) h) 1/2)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 6.9b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| ✓ | 9.2b | (sqrt.f64 (/.f64 h d)) |
| 12.4b | (sqrt.f64 (/.f64 d l)) | |
| 13.7b | (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)) |
Compiled 151 to 78 computations (48.3% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | D | @ | -inf | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 1.0ms | h | @ | 0 | (sqrt.f64 (/.f64 h d)) |
| 1.0ms | d | @ | -inf | (sqrt.f64 (/.f64 h d)) |
| 1.0ms | h | @ | -inf | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 1.0ms | l | @ | -inf | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 1× | batch-egg-rewrite |
| 801× | prod-diff_binary64 |
| 259× | add-sqr-sqrt_binary64 |
| 253× | pow1_binary64 |
| 252× | *-un-lft-identity_binary64 |
| 239× | add-log-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 47 |
| 1 | 528 | 45 |
| 2 | 7245 | 45 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 h d)) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 h d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 h d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 h d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 h d))) (cbrt.f64 (/.f64 h d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 h d)) (cbrt.f64 (sqrt.f64 (/.f64 h d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 h d) 1/4) (pow.f64 (/.f64 h d) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 h) (sqrt.f64 (/.f64 1 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 h) (pow.f64 (/.f64 1 d) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 h) (/.f64 1 (sqrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 h d)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 h d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 h d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 h d)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 h d)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 h d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 d h)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 d) (sqrt.f64 h)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 h d)) (cbrt.f64 (sqrt.f64 (/.f64 d h))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 h d) 1/4) (sqrt.f64 (sqrt.f64 (/.f64 d h))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 h) (sqrt.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (/.f64 h d))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 h d) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 h d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 h d) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 h d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 h d) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 h d)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 h d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 h d)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 h d) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 h d))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 h d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 h d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 h d)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 h d))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (*.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 (/.f64 h d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 1 (*.f64 1/8 (pow.f64 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) (/.f64 h l)) 3)))) (*.f64 (sqrt.f64 (/.f64 h d)) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) (/.f64 h l))) (*.f64 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 4) 1/4) (pow.f64 (/.f64 h l) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 1 (*.f64 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 4) 1/4) (pow.f64 (/.f64 h l) 2)))) (*.f64 (sqrt.f64 (/.f64 h d)) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) (/.f64 h l))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 1/8 (pow.f64 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) (/.f64 h l)) 3))) (sqrt.f64 (/.f64 d l))) (*.f64 (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) (/.f64 h l))) (*.f64 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 4) 1/4) (pow.f64 (/.f64 h l) 2)))) (sqrt.f64 (/.f64 h d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 4) 1/4) (pow.f64 (/.f64 h l) 2))) (sqrt.f64 (/.f64 d l))) (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) (/.f64 h l)))) (sqrt.f64 (/.f64 h d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))) (neg.f64 (sqrt.f64 (/.f64 h d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 1/8 (pow.f64 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) (/.f64 h l)) 3))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) (/.f64 h l))) (*.f64 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 4) 1/4) (pow.f64 (/.f64 h l) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 4) 1/4) (pow.f64 (/.f64 h l) 2))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) (/.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 1 (*.f64 1/8 (pow.f64 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) (/.f64 h l)) 3)))) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) (/.f64 h l))) (*.f64 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 4) 1/4) (pow.f64 (/.f64 h l) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 1 (*.f64 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 4) 1/4) (pow.f64 (/.f64 h l) 2)))) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) (/.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))) 2) (*.f64 (/.f64 d l) (/.f64 d h))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) 3) (pow.f64 (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))) 3) (pow.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))) (log.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))) (log.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))) 1)))))) |
| 1× | egg-herbie |
| 825× | distribute-rgt-neg-in_binary64 |
| 749× | distribute-lft-neg-in_binary64 |
| 705× | distribute-neg-frac_binary64 |
| 557× | associate-/l/_binary64 |
| 436× | associate-*r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 1244 |
| 1 | 70 | 1244 |
| 2 | 173 | 1244 |
| 3 | 578 | 1244 |
| 4 | 2951 | 1244 |
| 5 | 5401 | 1244 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(+.f64 (*.f64 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h)))))) |
(+.f64 (*.f64 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h)))))) |
(+.f64 (*.f64 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
| Outputs |
|---|
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 -1/8 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 -1/8 (/.f64 M (/.f64 d (*.f64 (*.f64 D D) M))))) |
(*.f64 -1/8 (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D)))) |
(*.f64 -1/8 (*.f64 M (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (*.f64 (/.f64 D d) D))))) |
(*.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (/.f64 M (/.f64 d (*.f64 (*.f64 D D) M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 M (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (*.f64 (/.f64 D d) D)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (/.f64 M (/.f64 d (*.f64 (*.f64 D D) M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 M (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (*.f64 (/.f64 D d) D)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (/.f64 M (/.f64 d (*.f64 (*.f64 D D) M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 M (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (*.f64 (/.f64 D d) D)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l)))) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (/.f64 M (/.f64 d (*.f64 (*.f64 D D) M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 M (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (*.f64 (/.f64 D d) D)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (/.f64 M (/.f64 d (*.f64 (*.f64 D D) M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 M (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (*.f64 (/.f64 D d) D)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (/.f64 M (/.f64 d (*.f64 (*.f64 D D) M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 M (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (*.f64 (/.f64 D d) D)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(neg.f64 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(*.f64 d (neg.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d)) |
(+.f64 (*.f64 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h)))))) |
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l)))))) |
(-.f64 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) 1/8)) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 M (/.f64 d (*.f64 (*.f64 D D) M))) 1/8)) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (/.f64 (*.f64 (*.f64 D 1/8) (*.f64 D M)) (/.f64 d M))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 D M)) d)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) 1/8) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d))) |
(+.f64 (*.f64 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h)))))) |
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l)))))) |
(-.f64 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) 1/8)) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 M (/.f64 d (*.f64 (*.f64 D D) M))) 1/8)) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (/.f64 (*.f64 (*.f64 D 1/8) (*.f64 D M)) (/.f64 d M))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 D M)) d)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) 1/8) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d))) |
(+.f64 (*.f64 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h)))))) |
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l)))))) |
(-.f64 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) 1/8)) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 M (/.f64 d (*.f64 (*.f64 D D) M))) 1/8)) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (/.f64 (*.f64 (*.f64 D 1/8) (*.f64 D M)) (/.f64 d M))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 D M)) d)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) 1/8) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l)))) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (/.f64 M (/.f64 d (*.f64 (*.f64 D D) M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 M (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (*.f64 (/.f64 D d) D)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
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(fma.f64 -1/8 (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 M (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (*.f64 (/.f64 D d) D)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (/.f64 M (/.f64 d (*.f64 (*.f64 D D) M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 M (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (*.f64 (/.f64 D d) D)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (/.f64 M (/.f64 d (*.f64 (*.f64 D D) M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 M (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (*.f64 (/.f64 D d) D)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 -1/8 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 -1/8 (/.f64 M (/.f64 d (*.f64 (*.f64 D D) M))))) |
(*.f64 -1/8 (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D)))) |
(*.f64 -1/8 (*.f64 M (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (*.f64 (/.f64 D d) D))))) |
(*.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (/.f64 M (/.f64 d (*.f64 (*.f64 D D) M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 M (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (*.f64 (/.f64 D d) D)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (/.f64 M (/.f64 d (*.f64 (*.f64 D D) M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 M (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (*.f64 (/.f64 D d) D)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (*.f64 h l))) d (*.f64 -1/8 (*.f64 (/.f64 (*.f64 D D) (/.f64 d (*.f64 M M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (*.f64 M M)) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (/.f64 M (/.f64 d (*.f64 (*.f64 D D) M))) (sqrt.f64 (/.f64 h (pow.f64 l 3)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 -1/8 (*.f64 M (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (*.f64 (/.f64 D d) D)))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(fma.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))) |
Compiled 13730 to 6741 computations (50.9% saved)
77 alts after pruning (72 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 544 | 30 | 574 |
| Fresh | 18 | 42 | 60 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 4 | 6 |
| Total | 564 | 77 | 641 |
| Status | Error | Program |
|---|---|---|
| 41.7b | (cbrt.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2)) | |
| 31.2b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (pow.f64 (/.f64 l d) -1/2) 1)) | |
| 58.5b | (*.f64 (*.f64 D (*.f64 (/.f64 D (/.f64 d M)) M)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) | |
| 25.4b | (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 (/.f64 h d))) | |
| 47.3b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) | |
| 26.3b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) | |
| 46.7b | (*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))) | |
| 46.7b | (*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) | |
| 33.5b | (pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 1) | |
| 26.3b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) | |
| 26.9b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 d (*.f64 (/.f64 M l) (/.f64 D d)))) M)) 1))) | |
| 47.6b | (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) | |
| 32.5b | (*.f64 (cbrt.f64 (pow.f64 (/.f64 d h) 3/2)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) | |
| 59.3b | (log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))))) | |
| 30.8b | (*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 d h) 3/2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) | |
| 36.7b | (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) | |
| 45.9b | (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) | |
| 46.8b | (/.f64 1 (/.f64 (sqrt.f64 (*.f64 l h)) d)) | |
| 59.4b | (*.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D)))) | |
| 32.4b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 (*.f64 l (/.f64 (*.f64 d d) D)) M)) M)) 1))) | |
| 31.4b | (/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 1 (sqrt.f64 (/.f64 d l)))) | |
| 40.8b | (*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) | |
| 47.6b | (/.f64 d (exp.f64 (log.f64 (sqrt.f64 (*.f64 l h))))) | |
| 45.0b | (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) | |
| 33.4b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) | |
| 38.7b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 l))) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) | |
| 57.6b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) | |
| 41.0b | (*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) | |
| 47.6b | (*.f64 (exp.f64 (*.f64 -1/2 (log.f64 (*.f64 l h)))) d) | |
| 53.1b | (*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) | |
| 51.3b | (pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3))) 3) | |
| 44.7b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) | |
| 31.3b | (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) | |
| 36.7b | (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) | |
| 26.3b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1))) | |
| 47.7b | (pow.f64 (*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) 3) | |
| 41.8b | (/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) | |
| 47.0b | (pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2))) 3) | |
| 50.7b | (/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2))) | |
| 51.3b | (/.f64 (sqrt.f64 d) (pow.f64 (*.f64 (/.f64 l d) h) 1/2)) | |
| 45.6b | (/.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 h)) | |
| 31.9b | (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) | |
| 43.8b | (/.f64 (sqrt.f64 (/.f64 d h)) (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) | |
| 33.7b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) | |
| ✓ | 31.2b | (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
| 61.3b | (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 l)) (*.f64 -1 (log.f64 (/.f64 -1 h)))))) d) | |
| ✓ | 46.7b | (*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
| 47.8b | (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) | |
| 32.5b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) | |
| 48.1b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) | |
| 47.6b | (/.f64 (*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))) (sqrt.f64 h)) | |
| 52.1b | (/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1)) | |
| 50.4b | (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2)) d) | |
| 38.0b | (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) | |
| 43.6b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) | |
| 51.4b | (pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) 1) 3) | |
| 25.8b | (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) | |
| 50.8b | (pow.f64 (cbrt.f64 (/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))) 3) | |
| 46.8b | (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2)) | |
| 46.8b | (*.f64 (/.f64 1 (sqrt.f64 (*.f64 l h))) d) | |
| 57.6b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) | |
| 25.6b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) | |
| 29.1b | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (*.f64 (/.f64 d D) d))) M)) 1))) | |
| 32.5b | (pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) | |
| 51.0b | (*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2) 1/3) d) | |
| 46.8b | (/.f64 (/.f64 d (pow.f64 (*.f64 l h) 1/4)) (pow.f64 (*.f64 l h) 1/4)) | |
| 43.3b | (fma.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 D M)) d)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) 1/8) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d))) | |
| ✓ | 47.0b | (pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
| 46.9b | (/.f64 d (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 l h))) 3)) | |
| ✓ | 46.7b | (/.f64 d (sqrt.f64 (*.f64 l h))) |
| 38.6b | (pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 1/6) 3) | |
| 51.3b | (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3)) | |
| 43.0b | (pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2) 1/3) | |
| 44.7b | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) | |
| ✓ | 25.3b | (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 40.8b | (*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d)) | |
| 57.8b | (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (/.f64 (*.f64 -1/8 D) (/.f64 d (*.f64 D M))))) |
Compiled 1777 to 1294 computations (27.2% saved)
| Inputs |
|---|
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))) |
(sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 l h)) d)) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 l) (/.f64 1 h))) d) |
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 1 l) h)) 1)) d) |
(/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) -1) |
(*.f64 (exp.f64 (*.f64 -1/2 (log.f64 (*.f64 l h)))) d) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2)) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2)) |
(/.f64 (sqrt.f64 d) (pow.f64 (*.f64 (/.f64 l d) h) 1/2)) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2)) d) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 1 (sqrt.f64 (/.f64 d l)))) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 1/6) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2) 1/3) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2) 1/3) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (pow.f64 (/.f64 l d) -1/2) 1)) |
(/.f64 (sqrt.f64 (/.f64 d h)) (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(/.f64 (/.f64 d (pow.f64 (*.f64 l h) 1/4)) (pow.f64 (*.f64 l h) 1/4)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) 1)) |
(*.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D)))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (/.f64 (*.f64 -1/8 D) (/.f64 d (*.f64 D M))))) |
(*.f64 (*.f64 D (*.f64 (/.f64 D (/.f64 d M)) M)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(/.f64 d (exp.f64 (log.f64 (sqrt.f64 (*.f64 l h))))) |
(/.f64 d (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 l h))) 3)) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(*.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 l h) -1/2))) d) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 2) |
(sqrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 2)) |
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))))) |
(pow.f64 (*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) 3) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) |
(pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 3) 1/3) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) |
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) 1) 3) |
(*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 l)) (*.f64 -1 (log.f64 (/.f64 -1 h)))))) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) 1)) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 h)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 d (*.f64 (/.f64 M l) (/.f64 D d)))) M)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (*.f64 (/.f64 d D) d))) M)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 (*.f64 l (/.f64 (*.f64 d d) D)) M)) M)) 1))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) |
(pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 1) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(pow.f64 (cbrt.f64 (/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))) 3) |
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3))) 3) |
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2))) 3) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(fma.f64 (*.f64 M M) (*.f64 (/.f64 D (/.f64 d D)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(fma.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 D M)) d)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) 1/8) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))) (sqrt.f64 h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 3)) |
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))) 2) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (cbrt.f64 (pow.f64 (/.f64 d l) 3/2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (pow.f64 (/.f64 d l) 1/4) 2)) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (pow.f64 (/.f64 d l) 1/4) (pow.f64 (/.f64 d l) 1/4))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2))) 2)) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2))))) |
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d))))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 d h) 3/2)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 l h)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 l h)) -1))) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1)) 3))) |
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 d h))) 3) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 d h) 3/2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) 1/4) (pow.f64 (/.f64 d h) 1/4)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 l))) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) 1/4) (pow.f64 (/.f64 d h) 1/4)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
| Outputs |
|---|
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 l))) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 h)) |
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h))) |
8 calls:
| 736.0ms | l |
| 528.0ms | d |
| 471.0ms | h |
| 454.0ms | M |
| 238.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| Error | Segments | Branch |
|---|---|---|
| 15.0b | 4 | d |
| 15.7b | 4 | h |
| 14.3b | 6 | l |
| 22.1b | 4 | M |
| 24.4b | 1 | D |
| 17.6b | 4 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 22.8b | 3 | (*.f64 M D) |
| 22.8b | 3 | (*.f64 M D) |
Compiled 2989 to 1496 computations (49.9% saved)
| 5× | binary-search |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 5.998330155367992e+260 | 3.213867899200193e+261 |
| 11.0ms | 5.16638167819641e+73 | 3.2516743114968167e+77 |
| 11.0ms | 1.468040093031514e-87 | 6.809794987223296e-82 |
| 62.0ms | -2.367794603126858e-307 | 1.2015574741017407e-306 |
| 14.0ms | -1.2602663279712585e-47 | -1.183764868076866e-49 |
Compiled 409 to 317 computations (22.5% saved)
| Inputs |
|---|
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))) |
(sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 l h)) d)) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 l) (/.f64 1 h))) d) |
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 1 l) h)) 1)) d) |
(/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) -1) |
(*.f64 (exp.f64 (*.f64 -1/2 (log.f64 (*.f64 l h)))) d) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2)) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2)) |
(/.f64 (sqrt.f64 d) (pow.f64 (*.f64 (/.f64 l d) h) 1/2)) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2)) d) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 1 (sqrt.f64 (/.f64 d l)))) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 1/6) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2) 1/3) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2) 1/3) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (pow.f64 (/.f64 l d) -1/2) 1)) |
(/.f64 (sqrt.f64 (/.f64 d h)) (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(/.f64 (/.f64 d (pow.f64 (*.f64 l h) 1/4)) (pow.f64 (*.f64 l h) 1/4)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) 1)) |
(*.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D)))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (/.f64 (*.f64 -1/8 D) (/.f64 d (*.f64 D M))))) |
(*.f64 (*.f64 D (*.f64 (/.f64 D (/.f64 d M)) M)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(/.f64 d (exp.f64 (log.f64 (sqrt.f64 (*.f64 l h))))) |
(/.f64 d (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 l h))) 3)) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(*.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 l h) -1/2))) d) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 2) |
(sqrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 2)) |
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))))) |
(pow.f64 (*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) 3) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) |
(pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 3) 1/3) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) |
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) 1) 3) |
(*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 l)) (*.f64 -1 (log.f64 (/.f64 -1 h)))))) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) 1)) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 h)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 d (*.f64 (/.f64 M l) (/.f64 D d)))) M)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (*.f64 (/.f64 d D) d))) M)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 (*.f64 l (/.f64 (*.f64 d d) D)) M)) M)) 1))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) |
(pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 1) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(pow.f64 (cbrt.f64 (/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))) 3) |
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3))) 3) |
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2))) 3) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(fma.f64 (*.f64 M M) (*.f64 (/.f64 D (/.f64 d D)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(fma.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 D M)) d)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) 1/8) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))) (sqrt.f64 h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 3)) |
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))) 2) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (cbrt.f64 (pow.f64 (/.f64 d l) 3/2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (pow.f64 (/.f64 d l) 1/4) 2)) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (pow.f64 (/.f64 d l) 1/4) (pow.f64 (/.f64 d l) 1/4))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2))) 2)) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2))))) |
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d))))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 d h) 3/2)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 l h)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 l h)) -1))) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1)) 3))) |
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 d h))) 3) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 d h) 3/2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) 1/4) (pow.f64 (/.f64 d h) 1/4)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
| Outputs |
|---|
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
8 calls:
| 2.0s | d |
| 1000.0ms | l |
| 582.0ms | h |
| 561.0ms | (*.f64 M D) |
| 530.0ms | M |
| Error | Segments | Branch |
|---|---|---|
| 14.7b | 5 | d |
| 17.1b | 3 | h |
| 15.1b | 6 | l |
| 22.1b | 4 | M |
| 24.4b | 1 | D |
| 17.6b | 4 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 22.8b | 3 | (*.f64 M D) |
| 22.8b | 3 | (*.f64 M D) |
Compiled 2912 to 1452 computations (50.1% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 6.511804710004019e+77 | 3.342071374965187e+100 |
| 7.0ms | -1.1043565962247303e-286 | -4.699895848598638e-297 |
| 11.0ms | -37.13010575317797 | -0.09643512776103375 |
| 9.0ms | -5.46737767069886e+48 | -6.912564535809908e+44 |
Compiled 334 to 252 computations (24.6% saved)
| Inputs |
|---|
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))) |
(sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 l h)) d)) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 l) (/.f64 1 h))) d) |
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 1 l) h)) 1)) d) |
(/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) -1) |
(*.f64 (exp.f64 (*.f64 -1/2 (log.f64 (*.f64 l h)))) d) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2)) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2)) |
(/.f64 (sqrt.f64 d) (pow.f64 (*.f64 (/.f64 l d) h) 1/2)) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2)) d) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 1 (sqrt.f64 (/.f64 d l)))) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 1/6) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2) 1/3) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2) 1/3) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (pow.f64 (/.f64 l d) -1/2) 1)) |
(/.f64 (sqrt.f64 (/.f64 d h)) (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(/.f64 (/.f64 d (pow.f64 (*.f64 l h) 1/4)) (pow.f64 (*.f64 l h) 1/4)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) 1)) |
(*.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D)))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (/.f64 (*.f64 -1/8 D) (/.f64 d (*.f64 D M))))) |
(*.f64 (*.f64 D (*.f64 (/.f64 D (/.f64 d M)) M)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(/.f64 d (exp.f64 (log.f64 (sqrt.f64 (*.f64 l h))))) |
(/.f64 d (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 l h))) 3)) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(*.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 l h) -1/2))) d) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 2) |
(sqrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 2)) |
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))))) |
(pow.f64 (*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) 3) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) |
(pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 3) 1/3) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) |
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) 1) 3) |
(*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 l)) (*.f64 -1 (log.f64 (/.f64 -1 h)))))) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) 1)) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 h)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 d (*.f64 (/.f64 M l) (/.f64 D d)))) M)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (*.f64 (/.f64 d D) d))) M)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 (*.f64 l (/.f64 (*.f64 d d) D)) M)) M)) 1))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) |
(pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 1) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(pow.f64 (cbrt.f64 (/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))) 3) |
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3))) 3) |
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2))) 3) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(fma.f64 (*.f64 M M) (*.f64 (/.f64 D (/.f64 d D)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(fma.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 D M)) d)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) 1/8) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))) (sqrt.f64 h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 3)) |
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))) 2) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (cbrt.f64 (pow.f64 (/.f64 d l) 3/2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (pow.f64 (/.f64 d l) 1/4) 2)) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (pow.f64 (/.f64 d l) 1/4) (pow.f64 (/.f64 d l) 1/4))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2))) 2)) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2))))) |
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d))))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 d h) 3/2)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 l h)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 l h)) -1))) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1)) 3))) |
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 d h))) 3) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 d h) 3/2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
| Outputs |
|---|
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
8 calls:
| 675.0ms | l |
| 599.0ms | d |
| 545.0ms | M |
| 247.0ms | h |
| 227.0ms | (*.f64 M D) |
| Error | Segments | Branch |
|---|---|---|
| 14.7b | 5 | d |
| 17.1b | 3 | h |
| 15.1b | 6 | l |
| 22.1b | 4 | M |
| 24.4b | 1 | D |
| 17.6b | 4 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 22.8b | 3 | (*.f64 M D) |
| 22.8b | 3 | (*.f64 M D) |
Compiled 2841 to 1413 computations (50.3% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 6.511804710004019e+77 | 3.342071374965187e+100 |
| 21.0ms | -1.1043565962247303e-286 | -4.699895848598638e-297 |
| 17.0ms | -37.13010575317797 | -0.09643512776103375 |
| 21.0ms | -5.46737767069886e+48 | -6.912564535809908e+44 |
Compiled 330 to 248 computations (24.8% saved)
| Inputs |
|---|
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))) |
(sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 l h)) d)) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 l) (/.f64 1 h))) d) |
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 1 l) h)) 1)) d) |
(/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) -1) |
(*.f64 (exp.f64 (*.f64 -1/2 (log.f64 (*.f64 l h)))) d) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2)) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2)) |
(/.f64 (sqrt.f64 d) (pow.f64 (*.f64 (/.f64 l d) h) 1/2)) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2)) d) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 1 (sqrt.f64 (/.f64 d l)))) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 1/6) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2) 1/3) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2) 1/3) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (pow.f64 (/.f64 l d) -1/2) 1)) |
(/.f64 (sqrt.f64 (/.f64 d h)) (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(/.f64 (/.f64 d (pow.f64 (*.f64 l h) 1/4)) (pow.f64 (*.f64 l h) 1/4)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) 1)) |
(*.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D)))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (/.f64 (*.f64 -1/8 D) (/.f64 d (*.f64 D M))))) |
(*.f64 (*.f64 D (*.f64 (/.f64 D (/.f64 d M)) M)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(/.f64 d (exp.f64 (log.f64 (sqrt.f64 (*.f64 l h))))) |
(/.f64 d (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 l h))) 3)) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(*.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 l h) -1/2))) d) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 2) |
(sqrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 2)) |
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))))) |
(pow.f64 (*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) 3) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) |
(pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 3) 1/3) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) |
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) 1) 3) |
(*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 l)) (*.f64 -1 (log.f64 (/.f64 -1 h)))))) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) 1)) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 h)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 d (*.f64 (/.f64 M l) (/.f64 D d)))) M)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (*.f64 (/.f64 d D) d))) M)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 (*.f64 l (/.f64 (*.f64 d d) D)) M)) M)) 1))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) |
(pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 1) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(pow.f64 (cbrt.f64 (/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))) 3) |
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3))) 3) |
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2))) 3) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(fma.f64 (*.f64 M M) (*.f64 (/.f64 D (/.f64 d D)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(fma.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 D M)) d)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) 1/8) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))) (sqrt.f64 h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 3)) |
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))) 2) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (cbrt.f64 (pow.f64 (/.f64 d l) 3/2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (pow.f64 (/.f64 d l) 1/4) 2)) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (pow.f64 (/.f64 d l) 1/4) (pow.f64 (/.f64 d l) 1/4))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2))) 2)) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2))))) |
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d))))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 d h) 3/2)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 l h)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 l h)) -1))) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1)) 3))) |
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 d h))) 3) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 d h) 3/2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
| Outputs |
|---|
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 h)) |
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h))) |
8 calls:
| 779.0ms | l |
| 702.0ms | d |
| 574.0ms | M |
| 376.0ms | (*.f64 M D) |
| 359.0ms | h |
| Error | Segments | Branch |
|---|---|---|
| 15.3b | 5 | d |
| 17.1b | 3 | h |
| 15.1b | 6 | l |
| 22.1b | 4 | M |
| 24.4b | 1 | D |
| 17.6b | 4 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 22.8b | 3 | (*.f64 M D) |
| 22.8b | 3 | (*.f64 M D) |
Compiled 2806 to 1396 computations (50.2% saved)
| 5× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 5.998330155367992e+260 | 3.213867899200193e+261 |
| 10.0ms | 5.16638167819641e+73 | 3.2516743114968167e+77 |
| 12.0ms | 1.468040093031514e-87 | 6.809794987223296e-82 |
| 15.0ms | -2.367794603126858e-307 | 1.2015574741017407e-306 |
| 15.0ms | -1.2602663279712585e-47 | -1.183764868076866e-49 |
Compiled 385 to 293 computations (23.9% saved)
| Inputs |
|---|
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))) |
(sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 l h)) d)) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 l) (/.f64 1 h))) d) |
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 1 l) h)) 1)) d) |
(/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) -1) |
(*.f64 (exp.f64 (*.f64 -1/2 (log.f64 (*.f64 l h)))) d) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2)) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2)) |
(/.f64 (sqrt.f64 d) (pow.f64 (*.f64 (/.f64 l d) h) 1/2)) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2)) d) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 1 (sqrt.f64 (/.f64 d l)))) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 1/6) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2) 1/3) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2) 1/3) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (pow.f64 (/.f64 l d) -1/2) 1)) |
(/.f64 (sqrt.f64 (/.f64 d h)) (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(/.f64 (/.f64 d (pow.f64 (*.f64 l h) 1/4)) (pow.f64 (*.f64 l h) 1/4)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) 1)) |
(*.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D)))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (/.f64 (*.f64 -1/8 D) (/.f64 d (*.f64 D M))))) |
(*.f64 (*.f64 D (*.f64 (/.f64 D (/.f64 d M)) M)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(/.f64 d (exp.f64 (log.f64 (sqrt.f64 (*.f64 l h))))) |
(/.f64 d (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 l h))) 3)) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(*.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 l h) -1/2))) d) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 2) |
(sqrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 2)) |
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))))) |
(pow.f64 (*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) 3) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) |
(pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 3) 1/3) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) |
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) 1) 3) |
(*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 l)) (*.f64 -1 (log.f64 (/.f64 -1 h)))))) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) 1)) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 h)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 d (*.f64 (/.f64 M l) (/.f64 D d)))) M)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (*.f64 (/.f64 d D) d))) M)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 (*.f64 l (/.f64 (*.f64 d d) D)) M)) M)) 1))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) |
(pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 1) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(pow.f64 (cbrt.f64 (/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))) 3) |
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3))) 3) |
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2))) 3) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(fma.f64 (*.f64 M M) (*.f64 (/.f64 D (/.f64 d D)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(fma.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 D M)) d)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) 1/8) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))) (sqrt.f64 h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 3)) |
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))) 2) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (cbrt.f64 (pow.f64 (/.f64 d l) 3/2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (pow.f64 (/.f64 d l) 1/4) 2)) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (pow.f64 (/.f64 d l) 1/4) (pow.f64 (/.f64 d l) 1/4))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2))) 2)) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2))))) |
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d))))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 d h) 3/2)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 l h)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 l h)) -1))) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1)) 3))) |
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 d h))) 3) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
| Outputs |
|---|
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
8 calls:
| 695.0ms | h |
| 628.0ms | d |
| 476.0ms | M |
| 422.0ms | l |
| 265.0ms | (*.f64 M D) |
| Error | Segments | Branch |
|---|---|---|
| 16.3b | 5 | d |
| 16.6b | 4 | h |
| 16.8b | 4 | l |
| 22.1b | 4 | M |
| 24.4b | 1 | D |
| 17.6b | 4 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 22.8b | 3 | (*.f64 M D) |
| 22.8b | 3 | (*.f64 M D) |
Compiled 2739 to 1359 computations (50.4% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 6.511804710004019e+77 | 3.342071374965187e+100 |
| 8.0ms | -9.497518515479447e-145 | -1.3761703149578105e-147 |
| 10.0ms | -1.1181984432224737e-13 | -2.8155532081226104e-15 |
| 9.0ms | -5.46737767069886e+48 | -6.912564535809908e+44 |
Compiled 334 to 252 computations (24.6% saved)
| Inputs |
|---|
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))) |
(sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 l h)) d)) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 l) (/.f64 1 h))) d) |
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 1 l) h)) 1)) d) |
(/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) -1) |
(*.f64 (exp.f64 (*.f64 -1/2 (log.f64 (*.f64 l h)))) d) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2)) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2)) |
(/.f64 (sqrt.f64 d) (pow.f64 (*.f64 (/.f64 l d) h) 1/2)) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2)) d) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 1 (sqrt.f64 (/.f64 d l)))) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 1/6) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2) 1/3) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2) 1/3) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (pow.f64 (/.f64 l d) -1/2) 1)) |
(/.f64 (sqrt.f64 (/.f64 d h)) (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(/.f64 (/.f64 d (pow.f64 (*.f64 l h) 1/4)) (pow.f64 (*.f64 l h) 1/4)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) 1)) |
(*.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D)))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (/.f64 (*.f64 -1/8 D) (/.f64 d (*.f64 D M))))) |
(*.f64 (*.f64 D (*.f64 (/.f64 D (/.f64 d M)) M)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(/.f64 d (exp.f64 (log.f64 (sqrt.f64 (*.f64 l h))))) |
(/.f64 d (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 l h))) 3)) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(*.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 l h) -1/2))) d) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 2) |
(sqrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 2)) |
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))))) |
(pow.f64 (*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) 3) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) |
(pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 3) 1/3) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) |
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) 1) 3) |
(*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 l)) (*.f64 -1 (log.f64 (/.f64 -1 h)))))) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) 1)) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 h)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 d (*.f64 (/.f64 M l) (/.f64 D d)))) M)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (*.f64 (/.f64 d D) d))) M)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 (*.f64 l (/.f64 (*.f64 d d) D)) M)) M)) 1))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) |
(pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 1) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(pow.f64 (cbrt.f64 (/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))) 3) |
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3))) 3) |
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2))) 3) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(fma.f64 (*.f64 M M) (*.f64 (/.f64 D (/.f64 d D)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(fma.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 D M)) d)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) 1/8) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))) (sqrt.f64 h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 3)) |
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))) 2) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (cbrt.f64 (pow.f64 (/.f64 d l) 3/2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (pow.f64 (/.f64 d l) 1/4) 2)) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (pow.f64 (/.f64 d l) 1/4) (pow.f64 (/.f64 d l) 1/4))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2))) 2)) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2))))) |
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d))))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 d h) 3/2)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
| Outputs |
|---|
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
8 calls:
| 640.0ms | l |
| 521.0ms | d |
| 341.0ms | (*.f64 M D) |
| 278.0ms | (*.f64 M D) |
| 273.0ms | h |
| Error | Segments | Branch |
|---|---|---|
| 15.7b | 7 | d |
| 16.6b | 4 | h |
| 16.8b | 4 | l |
| 25.3b | 1 | M |
| 25.3b | 1 | D |
| 19.7b | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 23.4b | 3 | (*.f64 M D) |
| 23.4b | 3 | (*.f64 M D) |
Compiled 2628 to 1299 computations (50.6% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 6.511804710004019e+77 | 3.342071374965187e+100 |
| 5.0ms | 2.5091435291494133e-64 | 6.131752263189074e-62 |
| 8.0ms | 1.3013094267609948e-164 | 7.49073300986242e-155 |
| 6.0ms | -1.1043565962247303e-286 | -4.699895848598638e-297 |
| 10.0ms | -1.1181984432224737e-13 | -2.8155532081226104e-15 |
| 9.0ms | -5.46737767069886e+48 | -6.912564535809908e+44 |
Compiled 470 to 346 computations (26.4% saved)
| Inputs |
|---|
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))) |
(sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 l h)) d)) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 l) (/.f64 1 h))) d) |
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 1 l) h)) 1)) d) |
(/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) -1) |
(*.f64 (exp.f64 (*.f64 -1/2 (log.f64 (*.f64 l h)))) d) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2)) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2)) |
(/.f64 (sqrt.f64 d) (pow.f64 (*.f64 (/.f64 l d) h) 1/2)) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2)) d) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 1 (sqrt.f64 (/.f64 d l)))) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 1/6) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2) 1/3) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2) 1/3) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (pow.f64 (/.f64 l d) -1/2) 1)) |
(/.f64 (sqrt.f64 (/.f64 d h)) (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(/.f64 (/.f64 d (pow.f64 (*.f64 l h) 1/4)) (pow.f64 (*.f64 l h) 1/4)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) 1)) |
(*.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D)))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (/.f64 (*.f64 -1/8 D) (/.f64 d (*.f64 D M))))) |
(*.f64 (*.f64 D (*.f64 (/.f64 D (/.f64 d M)) M)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(/.f64 d (exp.f64 (log.f64 (sqrt.f64 (*.f64 l h))))) |
(/.f64 d (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 l h))) 3)) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(*.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 l h) -1/2))) d) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 2) |
(sqrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 2)) |
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))))) |
(pow.f64 (*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) 3) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) |
(pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 3) 1/3) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) |
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) 1) 3) |
(*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 l)) (*.f64 -1 (log.f64 (/.f64 -1 h)))))) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) 1)) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 h)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 d (*.f64 (/.f64 M l) (/.f64 D d)))) M)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (*.f64 (/.f64 d D) d))) M)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 (*.f64 l (/.f64 (*.f64 d d) D)) M)) M)) 1))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) |
(pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 1) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(pow.f64 (cbrt.f64 (/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))) 3) |
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3))) 3) |
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2))) 3) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(fma.f64 (*.f64 M M) (*.f64 (/.f64 D (/.f64 d D)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(fma.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 D M)) d)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) 1/8) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))) (sqrt.f64 h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 3)) |
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))) 2) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (cbrt.f64 (pow.f64 (/.f64 d l) 3/2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (pow.f64 (/.f64 d l) 1/4) 2)) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (pow.f64 (/.f64 d l) 1/4) (pow.f64 (/.f64 d l) 1/4))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2))) 2)) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 1/2 (pow.f64 (*.f64 (*.f64 M (/.f64 D d)) 1/2) 2))))) |
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d))))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
8 calls:
| 891.0ms | d |
| 487.0ms | h |
| 377.0ms | l |
| 188.0ms | (*.f64 M D) |
| 170.0ms | (*.f64 M D) |
| Error | Segments | Branch |
|---|---|---|
| 15.9b | 7 | d |
| 16.2b | 5 | h |
| 17.0b | 4 | l |
| 25.3b | 1 | M |
| 25.3b | 1 | D |
| 19.7b | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 23.4b | 3 | (*.f64 M D) |
| 23.4b | 3 | (*.f64 M D) |
Compiled 2569 to 1272 computations (50.5% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 6.511804710004019e+77 | 3.342071374965187e+100 |
| 5.0ms | 2.5091435291494133e-64 | 6.131752263189074e-62 |
| 7.0ms | 1.3013094267609948e-164 | 7.49073300986242e-155 |
| 6.0ms | -1.1043565962247303e-286 | -4.699895848598638e-297 |
| 9.0ms | -1.1181984432224737e-13 | -2.8155532081226104e-15 |
| 156.0ms | -7.293170495938113e+147 | -1.819489174217706e+142 |
Compiled 880 to 642 computations (27% saved)
| Inputs |
|---|
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))) |
(sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 l h)) d)) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 l) (/.f64 1 h))) d) |
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 1 l) h)) 1)) d) |
(/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) -1) |
(*.f64 (exp.f64 (*.f64 -1/2 (log.f64 (*.f64 l h)))) d) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2)) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2)) |
(/.f64 (sqrt.f64 d) (pow.f64 (*.f64 (/.f64 l d) h) 1/2)) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2)) d) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 1 (sqrt.f64 (/.f64 d l)))) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 1/6) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2) 1/3) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2) 1/3) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (pow.f64 (/.f64 l d) -1/2) 1)) |
(/.f64 (sqrt.f64 (/.f64 d h)) (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(/.f64 (/.f64 d (pow.f64 (*.f64 l h) 1/4)) (pow.f64 (*.f64 l h) 1/4)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) 1)) |
(*.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D)))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (/.f64 (*.f64 -1/8 D) (/.f64 d (*.f64 D M))))) |
(*.f64 (*.f64 D (*.f64 (/.f64 D (/.f64 d M)) M)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(/.f64 d (exp.f64 (log.f64 (sqrt.f64 (*.f64 l h))))) |
(/.f64 d (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 l h))) 3)) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(*.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 l h) -1/2))) d) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 2) |
(sqrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 2)) |
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))))) |
(pow.f64 (*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) 3) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) |
(pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 3) 1/3) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) |
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) 1) 3) |
(*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 l)) (*.f64 -1 (log.f64 (/.f64 -1 h)))))) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) 1)) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 h)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 d (*.f64 (/.f64 M l) (/.f64 D d)))) M)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (*.f64 (/.f64 d D) d))) M)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 (*.f64 l (/.f64 (*.f64 d d) D)) M)) M)) 1))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) |
(pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 1) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(pow.f64 (cbrt.f64 (/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))) 3) |
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3))) 3) |
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2))) 3) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(fma.f64 (*.f64 M M) (*.f64 (/.f64 D (/.f64 d D)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(fma.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 D M)) d)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) 1/8) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))) (sqrt.f64 h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 3)) |
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))) 2) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (cbrt.f64 (pow.f64 (/.f64 d l) 3/2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (pow.f64 (/.f64 d l) 1/4) 2)) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
8 calls:
| 944.0ms | h |
| 898.0ms | d |
| 765.0ms | l |
| 370.0ms | (*.f64 M D) |
| 353.0ms | (*.f64 M D) |
| Error | Segments | Branch |
|---|---|---|
| 15.9b | 7 | d |
| 16.2b | 5 | h |
| 17.0b | 4 | l |
| 25.3b | 1 | M |
| 25.3b | 1 | D |
| 19.7b | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 23.4b | 3 | (*.f64 M D) |
| 23.4b | 3 | (*.f64 M D) |
Compiled 2386 to 1173 computations (50.8% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 6.511804710004019e+77 | 3.342071374965187e+100 |
| 6.0ms | 2.5091435291494133e-64 | 6.131752263189074e-62 |
| 5.0ms | 1.3013094267609948e-164 | 7.49073300986242e-155 |
| 6.0ms | -1.1043565962247303e-286 | -4.699895848598638e-297 |
| 19.0ms | -1.1181984432224737e-13 | -2.8155532081226104e-15 |
| 230.0ms | -7.293170495938113e+147 | -1.819489174217706e+142 |
Compiled 870 to 632 computations (27.4% saved)
| Inputs |
|---|
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))) |
(sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 l h)) d)) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 l) (/.f64 1 h))) d) |
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 1 l) h)) 1)) d) |
(/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) -1) |
(*.f64 (exp.f64 (*.f64 -1/2 (log.f64 (*.f64 l h)))) d) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2)) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2)) |
(/.f64 (sqrt.f64 d) (pow.f64 (*.f64 (/.f64 l d) h) 1/2)) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2)) d) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 1 (sqrt.f64 (/.f64 d l)))) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 1/6) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2) 1/3) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2) 1/3) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (pow.f64 (/.f64 l d) -1/2) 1)) |
(/.f64 (sqrt.f64 (/.f64 d h)) (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(/.f64 (/.f64 d (pow.f64 (*.f64 l h) 1/4)) (pow.f64 (*.f64 l h) 1/4)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) 1)) |
(*.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D)))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (/.f64 (*.f64 -1/8 D) (/.f64 d (*.f64 D M))))) |
(*.f64 (*.f64 D (*.f64 (/.f64 D (/.f64 d M)) M)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(/.f64 d (exp.f64 (log.f64 (sqrt.f64 (*.f64 l h))))) |
(/.f64 d (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 l h))) 3)) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(*.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 l h) -1/2))) d) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 2) |
(sqrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 2)) |
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))))) |
(pow.f64 (*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) 3) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) |
(pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 3) 1/3) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) |
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) 1) 3) |
(*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 l)) (*.f64 -1 (log.f64 (/.f64 -1 h)))))) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) 1)) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 h)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 d (*.f64 (/.f64 M l) (/.f64 D d)))) M)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (*.f64 (/.f64 d D) d))) M)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 (*.f64 l (/.f64 (*.f64 d d) D)) M)) M)) 1))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) |
(pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 1) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(pow.f64 (cbrt.f64 (/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))) 3) |
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3))) 3) |
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2))) 3) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(fma.f64 (*.f64 M M) (*.f64 (/.f64 D (/.f64 d D)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(fma.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 D M)) d)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) 1/8) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))) (sqrt.f64 h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 3)) |
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))) 2) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (cbrt.f64 (pow.f64 (/.f64 d l) 3/2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 d (*.f64 (/.f64 M l) (/.f64 D d)))) M)) 1))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
8 calls:
| 624.0ms | (*.f64 M D) |
| 527.0ms | d |
| 336.0ms | l |
| 314.0ms | h |
| 262.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| Error | Segments | Branch |
|---|---|---|
| 16.2b | 7 | d |
| 16.2b | 5 | h |
| 17.0b | 4 | l |
| 25.3b | 1 | M |
| 25.3b | 1 | D |
| 19.7b | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 23.4b | 3 | (*.f64 M D) |
| 23.4b | 3 | (*.f64 M D) |
Compiled 2246 to 1093 computations (51.3% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 3.9545769518049695e+111 | 3.031126185595477e+113 |
| 5.0ms | 3.038561800811236e-187 | 2.1512341539380588e-169 |
| 5.0ms | -7.259197348159911e-307 | 1.3886091180334518e-297 |
| 24.0ms | -4.682470295308155e+143 | -1.1133255822133775e+136 |
Compiled 447 to 329 computations (26.4% saved)
| Inputs |
|---|
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))) |
(sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 l h)) d)) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 l) (/.f64 1 h))) d) |
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 1 l) h)) 1)) d) |
(/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) -1) |
(*.f64 (exp.f64 (*.f64 -1/2 (log.f64 (*.f64 l h)))) d) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2)) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2)) |
(/.f64 (sqrt.f64 d) (pow.f64 (*.f64 (/.f64 l d) h) 1/2)) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2)) d) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 1 (sqrt.f64 (/.f64 d l)))) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 1/6) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2) 1/3) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2) 1/3) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (pow.f64 (/.f64 l d) -1/2) 1)) |
(/.f64 (sqrt.f64 (/.f64 d h)) (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(/.f64 (/.f64 d (pow.f64 (*.f64 l h) 1/4)) (pow.f64 (*.f64 l h) 1/4)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) 1)) |
(*.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D)))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (/.f64 (*.f64 -1/8 D) (/.f64 d (*.f64 D M))))) |
(*.f64 (*.f64 D (*.f64 (/.f64 D (/.f64 d M)) M)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(/.f64 d (exp.f64 (log.f64 (sqrt.f64 (*.f64 l h))))) |
(/.f64 d (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 l h))) 3)) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(*.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 l h) -1/2))) d) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 2) |
(sqrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 2)) |
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))))) |
(pow.f64 (*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) 3) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) |
(pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 3) 1/3) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) |
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) 1) 3) |
(*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 l)) (*.f64 -1 (log.f64 (/.f64 -1 h)))))) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) 1)) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 h)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 d (*.f64 (/.f64 M l) (/.f64 D d)))) M)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (*.f64 (/.f64 d D) d))) M)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 (*.f64 l (/.f64 (*.f64 d d) D)) M)) M)) 1))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) |
(pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 1) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(pow.f64 (cbrt.f64 (/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))) 3) |
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3))) 3) |
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2))) 3) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(fma.f64 (*.f64 M M) (*.f64 (/.f64 D (/.f64 d D)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(fma.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 D M)) d)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) 1/8) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))) (sqrt.f64 h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 3)) |
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))) 2) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
8 calls:
| 574.0ms | d |
| 398.0ms | h |
| 323.0ms | l |
| 172.0ms | (*.f64 M D) |
| 164.0ms | (*.f64 M D) |
| Error | Segments | Branch |
|---|---|---|
| 16.2b | 7 | d |
| 16.3b | 5 | h |
| 17.0b | 4 | l |
| 25.3b | 1 | M |
| 25.3b | 1 | D |
| 19.7b | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 23.4b | 3 | (*.f64 M D) |
| 23.4b | 3 | (*.f64 M D) |
Compiled 2178 to 1052 computations (51.7% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 6.511804710004019e+77 | 3.342071374965187e+100 |
| 5.0ms | 2.5091435291494133e-64 | 6.131752263189074e-62 |
| 5.0ms | 1.3013094267609948e-164 | 7.49073300986242e-155 |
| 7.0ms | -1.1043565962247303e-286 | -4.699895848598638e-297 |
| 9.0ms | -23976429130455.242 | -7453731347850.144 |
| 81.0ms | -7.293170495938113e+147 | -1.819489174217706e+142 |
Compiled 864 to 626 computations (27.5% saved)
| Inputs |
|---|
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))) |
(sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 l h)) d)) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 l) (/.f64 1 h))) d) |
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 1 l) h)) 1)) d) |
(/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) -1) |
(*.f64 (exp.f64 (*.f64 -1/2 (log.f64 (*.f64 l h)))) d) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2)) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2)) |
(/.f64 (sqrt.f64 d) (pow.f64 (*.f64 (/.f64 l d) h) 1/2)) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2)) d) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 1 (sqrt.f64 (/.f64 d l)))) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 1/6) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2) 1/3) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2) 1/3) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (pow.f64 (/.f64 l d) -1/2) 1)) |
(/.f64 (sqrt.f64 (/.f64 d h)) (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(/.f64 (/.f64 d (pow.f64 (*.f64 l h) 1/4)) (pow.f64 (*.f64 l h) 1/4)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) 1)) |
(*.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D)))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (/.f64 (*.f64 -1/8 D) (/.f64 d (*.f64 D M))))) |
(*.f64 (*.f64 D (*.f64 (/.f64 D (/.f64 d M)) M)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(/.f64 d (exp.f64 (log.f64 (sqrt.f64 (*.f64 l h))))) |
(/.f64 d (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 l h))) 3)) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(*.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 l h) -1/2))) d) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 2) |
(sqrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 2)) |
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))))) |
(pow.f64 (*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) 3) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) |
(pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 3) 1/3) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) |
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) 1) 3) |
(*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 l)) (*.f64 -1 (log.f64 (/.f64 -1 h)))))) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) 1)) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 h)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 d (*.f64 (/.f64 M l) (/.f64 D d)))) M)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (*.f64 (/.f64 d D) d))) M)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 (*.f64 l (/.f64 (*.f64 d d) D)) M)) M)) 1))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) |
(pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 1) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(pow.f64 (cbrt.f64 (/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))) 3) |
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3))) 3) |
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2))) 3) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(fma.f64 (*.f64 M M) (*.f64 (/.f64 D (/.f64 d D)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(fma.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 D M)) d)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) 1/8) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))) (sqrt.f64 h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 3)) |
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))) 2) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
8 calls:
| 651.0ms | d |
| 421.0ms | h |
| 287.0ms | l |
| 159.0ms | (*.f64 M D) |
| 146.0ms | (*.f64 M D) |
| Error | Segments | Branch |
|---|---|---|
| 16.5b | 7 | d |
| 17.6b | 4 | h |
| 17.0b | 4 | l |
| 25.3b | 1 | M |
| 25.3b | 1 | D |
| 19.7b | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 23.4b | 3 | (*.f64 M D) |
| 23.4b | 3 | (*.f64 M D) |
Compiled 2145 to 1034 computations (51.8% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 6.511804710004019e+77 | 3.342071374965187e+100 |
| 5.0ms | 2.5091435291494133e-64 | 6.131752263189074e-62 |
| 6.0ms | 1.3013094267609948e-164 | 7.49073300986242e-155 |
| 78.0ms | -1.1043565962247303e-286 | -4.699895848598638e-297 |
| 9.0ms | -23976429130455.242 | -7453731347850.144 |
| 109.0ms | -7.293170495938113e+147 | -1.819489174217706e+142 |
Compiled 1469 to 1080 computations (26.5% saved)
| Inputs |
|---|
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))) |
(sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 l h)) d)) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 l) (/.f64 1 h))) d) |
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 1 l) h)) 1)) d) |
(/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) -1) |
(*.f64 (exp.f64 (*.f64 -1/2 (log.f64 (*.f64 l h)))) d) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2)) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2)) |
(/.f64 (sqrt.f64 d) (pow.f64 (*.f64 (/.f64 l d) h) 1/2)) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2)) d) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 1 (sqrt.f64 (/.f64 d l)))) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 1/6) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2) 1/3) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2) 1/3) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (pow.f64 (/.f64 l d) -1/2) 1)) |
(/.f64 (sqrt.f64 (/.f64 d h)) (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(/.f64 (/.f64 d (pow.f64 (*.f64 l h) 1/4)) (pow.f64 (*.f64 l h) 1/4)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) 1)) |
(*.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D)))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (/.f64 (*.f64 -1/8 D) (/.f64 d (*.f64 D M))))) |
(*.f64 (*.f64 D (*.f64 (/.f64 D (/.f64 d M)) M)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(/.f64 d (exp.f64 (log.f64 (sqrt.f64 (*.f64 l h))))) |
(/.f64 d (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 l h))) 3)) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(*.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 l h) -1/2))) d) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 2) |
(sqrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 2)) |
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))))) |
(pow.f64 (*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) 3) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) |
(pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 3) 1/3) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) |
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) 1) 3) |
(*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 l)) (*.f64 -1 (log.f64 (/.f64 -1 h)))))) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) 1)) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 h)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 d (*.f64 (/.f64 M l) (/.f64 D d)))) M)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (*.f64 (/.f64 d D) d))) M)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 (*.f64 l (/.f64 (*.f64 d d) D)) M)) M)) 1))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) |
(pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 1) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(pow.f64 (cbrt.f64 (/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))) 3) |
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3))) 3) |
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2))) 3) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(fma.f64 (*.f64 M M) (*.f64 (/.f64 D (/.f64 d D)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(fma.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 D M)) d)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) 1/8) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2))))) (sqrt.f64 h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 3)) |
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2))))) 2) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) 1)) |
(fma.f64 (*.f64 D (/.f64 (*.f64 M (*.f64 D M)) d)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) 1/8) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 h)) |
8 calls:
| 503.0ms | l |
| 430.0ms | d |
| 419.0ms | h |
| 187.0ms | (*.f64 M D) |
| 179.0ms | (*.f64 M D) |
| Error | Segments | Branch |
|---|---|---|
| 18.1b | 4 | d |
| 18.8b | 4 | h |
| 17.2b | 6 | l |
| 25.3b | 1 | M |
| 25.3b | 1 | D |
| 19.7b | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 23.4b | 3 | (*.f64 M D) |
| 23.4b | 3 | (*.f64 M D) |
Compiled 2080 to 999 computations (52% saved)
| 5× | binary-search |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 1.468040093031514e-87 | 6.809794987223296e-82 |
| 10.0ms | -2.367794603126858e-307 | 1.2015574741017407e-306 |
| 7.0ms | -1.648970239588998e-35 | -2.3193914419291037e-40 |
| 80.0ms | -2.6859097546664825e+129 | -3.560680423393174e+121 |
| 66.0ms | -5.364313919325001e+244 | -1.1103869720010951e+243 |
Compiled 1010 to 771 computations (23.7% saved)
| Inputs |
|---|
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))) |
(sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 l h)) d)) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 l) (/.f64 1 h))) d) |
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 1 l) h)) 1)) d) |
(/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) -1) |
(*.f64 (exp.f64 (*.f64 -1/2 (log.f64 (*.f64 l h)))) d) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2)) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2)) |
(/.f64 (sqrt.f64 d) (pow.f64 (*.f64 (/.f64 l d) h) 1/2)) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2)) d) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 1 (sqrt.f64 (/.f64 d l)))) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 1/6) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2) 1/3) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2) 1/3) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (pow.f64 (/.f64 l d) -1/2) 1)) |
(/.f64 (sqrt.f64 (/.f64 d h)) (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(/.f64 (/.f64 d (pow.f64 (*.f64 l h) 1/4)) (pow.f64 (*.f64 l h) 1/4)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) 1)) |
(*.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D)))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (/.f64 (*.f64 -1/8 D) (/.f64 d (*.f64 D M))))) |
(*.f64 (*.f64 D (*.f64 (/.f64 D (/.f64 d M)) M)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(/.f64 d (exp.f64 (log.f64 (sqrt.f64 (*.f64 l h))))) |
(/.f64 d (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 l h))) 3)) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(*.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 l h) -1/2))) d) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 2) |
(sqrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 2)) |
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))))) |
(pow.f64 (*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) 3) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) |
(pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 3) 1/3) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) |
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) 1) 3) |
(*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 l)) (*.f64 -1 (log.f64 (/.f64 -1 h)))))) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) 1)) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 h)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 d (*.f64 (/.f64 M l) (/.f64 D d)))) M)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (*.f64 (/.f64 d D) d))) M)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 (*.f64 l (/.f64 (*.f64 d d) D)) M)) M)) 1))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) |
(pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 1) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
(pow.f64 (cbrt.f64 (/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))) 3) |
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3))) 3) |
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2))) 3) |
(*.f64 -1/8 (*.f64 (/.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) d) (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
(fma.f64 (*.f64 M M) (*.f64 (/.f64 D (/.f64 d D)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 h l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 h)) |
8 calls:
| 511.0ms | l |
| 256.0ms | d |
| 216.0ms | h |
| 158.0ms | (*.f64 M D) |
| 149.0ms | (*.f64 M D) |
| Error | Segments | Branch |
|---|---|---|
| 18.1b | 5 | d |
| 19.2b | 4 | h |
| 17.5b | 6 | l |
| 25.3b | 1 | M |
| 25.3b | 1 | D |
| 19.7b | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l)))) |
| 23.4b | 3 | (*.f64 M D) |
| 23.4b | 3 | (*.f64 M D) |
Compiled 1821 to 892 computations (51% saved)
| 5× | binary-search |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 1.468040093031514e-87 | 6.809794987223296e-82 |
| 9.0ms | -2.367794603126858e-307 | 1.2015574741017407e-306 |
| 54.0ms | -8.180716645707177e-158 | -3.8270979497787163e-162 |
| 58.0ms | -9.627414623341213e-45 | -4.281889897970354e-47 |
| 66.0ms | -1.8966622135939598e+214 | -2.7742619710433334e+212 |
Compiled 1282 to 973 computations (24.1% saved)
| Inputs |
|---|
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))) |
(sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 l h)) d)) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 l) (/.f64 1 h))) d) |
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 1 l) h)) 1)) d) |
(/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) -1) |
(*.f64 (exp.f64 (*.f64 -1/2 (log.f64 (*.f64 l h)))) d) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2)) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2)) |
(/.f64 (sqrt.f64 d) (pow.f64 (*.f64 (/.f64 l d) h) 1/2)) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2)) d) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 1 (sqrt.f64 (/.f64 d l)))) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 1/6) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2) 1/3) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2) 1/3) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (pow.f64 (/.f64 l d) -1/2) 1)) |
(/.f64 (sqrt.f64 (/.f64 d h)) (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(/.f64 (/.f64 d (pow.f64 (*.f64 l h) 1/4)) (pow.f64 (*.f64 l h) 1/4)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) 1)) |
(*.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D)))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (/.f64 (*.f64 -1/8 D) (/.f64 d (*.f64 D M))))) |
(*.f64 (*.f64 D (*.f64 (/.f64 D (/.f64 d M)) M)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(/.f64 d (exp.f64 (log.f64 (sqrt.f64 (*.f64 l h))))) |
(/.f64 d (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 l h))) 3)) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(*.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 l h) -1/2))) d) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 2) |
(sqrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 2)) |
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))))) |
(pow.f64 (*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) 3) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) |
(pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 3) 1/3) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) |
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) 1) 3) |
(*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 l)) (*.f64 -1 (log.f64 (/.f64 -1 h)))))) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) 1)) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 h)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) 1))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 d (*.f64 (/.f64 M l) (/.f64 D d)))) M)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (*.f64 (/.f64 d D) d))) M)) 1))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (/.f64 (*.f64 l (/.f64 (*.f64 d d) D)) M)) M)) 1))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) 1) |
(pow.f64 (*.f64 (sqrt.f64 (/.f64 d (*.f64 h (/.f64 l d)))) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) -1/2)))) 1) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
6 calls:
| 260.0ms | h |
| 240.0ms | l |
| 232.0ms | d |
| 136.0ms | D |
| 54.0ms | M |
| Error | Segments | Branch |
|---|---|---|
| 18.2b | 5 | d |
| 18.5b | 6 | h |
| 18.7b | 5 | l |
| 25.4b | 1 | M |
| 24.2b | 3 | D |
| 25.4b | 1 | (*.f64 M D) |
Compiled 1168 to 542 computations (53.6% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 5.2049029959062845e+70 | 1.1178175961893241e+77 |
| 62.0ms | 2.5091435291494133e-64 | 6.131752263189074e-62 |
| 72.0ms | 1.33659821196436e-295 | 8.994264258093791e-293 |
| 132.0ms | -7.293170495938113e+147 | -1.819489174217706e+142 |
Compiled 1248 to 938 computations (24.8% saved)
| Inputs |
|---|
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))) |
(sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 l h)) d)) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 l) (/.f64 1 h))) d) |
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 1 l) h)) 1)) d) |
(/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) -1) |
(*.f64 (exp.f64 (*.f64 -1/2 (log.f64 (*.f64 l h)))) d) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2)) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2)) |
(/.f64 (sqrt.f64 d) (pow.f64 (*.f64 (/.f64 l d) h) 1/2)) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2)) d) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 1 (sqrt.f64 (/.f64 d l)))) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 1/6) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2) 1/3) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2) 1/3) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (pow.f64 (/.f64 l d) -1/2) 1)) |
(/.f64 (sqrt.f64 (/.f64 d h)) (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(/.f64 (/.f64 d (pow.f64 (*.f64 l h) 1/4)) (pow.f64 (*.f64 l h) 1/4)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) 1)) |
(*.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D)))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (/.f64 (*.f64 -1/8 D) (/.f64 d (*.f64 D M))))) |
(*.f64 (*.f64 D (*.f64 (/.f64 D (/.f64 d M)) M)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(/.f64 d (exp.f64 (log.f64 (sqrt.f64 (*.f64 l h))))) |
(/.f64 d (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 l h))) 3)) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(*.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 l h) -1/2))) d) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 2) |
(sqrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 2)) |
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))))) |
(pow.f64 (*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) 3) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) |
(pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 3) 1/3) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) |
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) 1) 3) |
(*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 l)) (*.f64 -1 (log.f64 (/.f64 -1 h)))))) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) 1)) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 h)) |
| Outputs |
|---|
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) 1)) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 h)) |
7 calls:
| 260.0ms | l |
| 180.0ms | h |
| 159.0ms | d |
| 105.0ms | (*.f64 M D) |
| 104.0ms | (*.f64 M D) |
| Error | Segments | Branch |
|---|---|---|
| 20.5b | 4 | d |
| 21.0b | 5 | h |
| 19.2b | 6 | l |
| 27.5b | 2 | M |
| 28.7b | 2 | D |
| 28.2b | 3 | (*.f64 M D) |
| 28.2b | 3 | (*.f64 M D) |
Compiled 926 to 442 computations (52.3% saved)
| 5× | binary-search |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 1.468040093031514e-87 | 6.809794987223296e-82 |
| 36.0ms | -2.367794603126858e-307 | 1.2015574741017407e-306 |
| 62.0ms | -1.221340890503756e+34 | -8.504995266367829e+30 |
| 63.0ms | -4.985095001544229e+86 | -1.1279800787222518e+83 |
| 73.0ms | -1.1103869720010951e+243 | -7.347209618033298e+238 |
Compiled 1556 to 1151 computations (26% saved)
| Inputs |
|---|
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))) |
(sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 l h)) d)) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 l) (/.f64 1 h))) d) |
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 1 l) h)) 1)) d) |
(/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) -1) |
(*.f64 (exp.f64 (*.f64 -1/2 (log.f64 (*.f64 l h)))) d) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2)) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2)) |
(/.f64 (sqrt.f64 d) (pow.f64 (*.f64 (/.f64 l d) h) 1/2)) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2)) d) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 1 (sqrt.f64 (/.f64 d l)))) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 1/6) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2) 1/3) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2) 1/3) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (pow.f64 (/.f64 l d) -1/2) 1)) |
(/.f64 (sqrt.f64 (/.f64 d h)) (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(/.f64 (/.f64 d (pow.f64 (*.f64 l h) 1/4)) (pow.f64 (*.f64 l h) 1/4)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) 1)) |
(*.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D)))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (/.f64 (*.f64 -1/8 D) (/.f64 d (*.f64 D M))))) |
(*.f64 (*.f64 D (*.f64 (/.f64 D (/.f64 d M)) M)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(/.f64 d (exp.f64 (log.f64 (sqrt.f64 (*.f64 l h))))) |
(/.f64 d (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 l h))) 3)) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(*.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 l h) -1/2))) d) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 2) |
(sqrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 2)) |
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))))) |
(pow.f64 (*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) 3) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) |
(pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 3) 1/3) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) |
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) 1) 3) |
(*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 l)) (*.f64 -1 (log.f64 (/.f64 -1 h)))))) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) 1)) |
| Outputs |
|---|
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) 1)) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
5 calls:
| 279.0ms | l |
| 119.0ms | h |
| 115.0ms | M |
| 102.0ms | d |
| 77.0ms | D |
| Error | Segments | Branch |
|---|---|---|
| 22.3b | 3 | d |
| 22.3b | 3 | h |
| 19.5b | 7 | l |
| 27.5b | 2 | M |
| 28.7b | 2 | D |
Compiled 885 to 416 computations (53% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 1.4173151690860612e+88 | 6.127301967668972e+91 |
| 5.0ms | 1.468040093031514e-87 | 6.809794987223296e-82 |
| 38.0ms | -2.367794603126858e-307 | 1.2015574741017407e-306 |
| 67.0ms | -1.221340890503756e+34 | -8.504995266367829e+30 |
| 73.0ms | -4.985095001544229e+86 | -1.1279800787222518e+83 |
| 76.0ms | -1.1103869720010951e+243 | -7.347209618033298e+238 |
Compiled 1614 to 1188 computations (26.4% saved)
| Inputs |
|---|
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))) |
(sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 l h)) d)) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 l) (/.f64 1 h))) d) |
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 1 l) h)) 1)) d) |
(/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) -1) |
(*.f64 (exp.f64 (*.f64 -1/2 (log.f64 (*.f64 l h)))) d) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2)) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2)) |
(/.f64 (sqrt.f64 d) (pow.f64 (*.f64 (/.f64 l d) h) 1/2)) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2)) d) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 1 (sqrt.f64 (/.f64 d l)))) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 1/6) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2) 1/3) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2) 1/3) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (pow.f64 (/.f64 l d) -1/2) 1)) |
(/.f64 (sqrt.f64 (/.f64 d h)) (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(/.f64 (/.f64 d (pow.f64 (*.f64 l h) 1/4)) (pow.f64 (*.f64 l h) 1/4)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) 1)) |
(*.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D)))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (/.f64 (*.f64 -1/8 D) (/.f64 d (*.f64 D M))))) |
(*.f64 (*.f64 D (*.f64 (/.f64 D (/.f64 d M)) M)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(/.f64 d (exp.f64 (log.f64 (sqrt.f64 (*.f64 l h))))) |
(/.f64 d (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 l h))) 3)) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(*.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 l h) -1/2))) d) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 2) |
(sqrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 2)) |
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))))) |
(pow.f64 (*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) 3) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) |
(pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 3) 1/3) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) |
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) 1) 3) |
(*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 l)) (*.f64 -1 (log.f64 (/.f64 -1 h)))))) d) |
| Outputs |
|---|
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
5 calls:
| 210.0ms | l |
| 108.0ms | d |
| 96.0ms | h |
| 69.0ms | D |
| 62.0ms | M |
| Error | Segments | Branch |
|---|---|---|
| 22.3b | 3 | d |
| 22.3b | 3 | h |
| 19.5b | 7 | l |
| 27.5b | 2 | M |
| 28.7b | 2 | D |
Compiled 869 to 411 computations (52.7% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 1.4173151690860612e+88 | 6.127301967668972e+91 |
| 5.0ms | 1.468040093031514e-87 | 6.809794987223296e-82 |
| 33.0ms | -2.367794603126858e-307 | 1.2015574741017407e-306 |
| 61.0ms | -1.221340890503756e+34 | -8.504995266367829e+30 |
| 62.0ms | -4.985095001544229e+86 | -1.1279800787222518e+83 |
| 69.0ms | -1.1103869720010951e+243 | -7.347209618033298e+238 |
Compiled 1550 to 1124 computations (27.5% saved)
| Inputs |
|---|
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))) |
(sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 l h)) d)) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 l) (/.f64 1 h))) d) |
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 1 l) h)) 1)) d) |
(/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) -1) |
(*.f64 (exp.f64 (*.f64 -1/2 (log.f64 (*.f64 l h)))) d) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2)) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2)) |
(/.f64 (sqrt.f64 d) (pow.f64 (*.f64 (/.f64 l d) h) 1/2)) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2)) d) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 1 (sqrt.f64 (/.f64 d l)))) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 1/6) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2) 1/3) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2) 1/3) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (pow.f64 (/.f64 l d) -1/2) 1)) |
(/.f64 (sqrt.f64 (/.f64 d h)) (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(/.f64 (/.f64 d (pow.f64 (*.f64 l h) 1/4)) (pow.f64 (*.f64 l h) 1/4)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) 1)) |
(*.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D)))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (/.f64 (*.f64 -1/8 D) (/.f64 d (*.f64 D M))))) |
(*.f64 (*.f64 D (*.f64 (/.f64 D (/.f64 d M)) M)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(/.f64 d (exp.f64 (log.f64 (sqrt.f64 (*.f64 l h))))) |
(/.f64 d (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 l h))) 3)) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(*.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 l h) -1/2))) d) |
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 2) |
(sqrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 2)) |
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))))) |
(pow.f64 (*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/6)) 3) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) |
(pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 3) 1/3) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
5 calls:
| 172.0ms | l |
| 115.0ms | h |
| 109.0ms | d |
| 76.0ms | M |
| 74.0ms | D |
| Error | Segments | Branch |
|---|---|---|
| 23.1b | 3 | d |
| 22.9b | 3 | h |
| 21.4b | 5 | l |
| 27.5b | 2 | M |
| 28.7b | 2 | D |
Compiled 828 to 387 computations (53.3% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 1.4173151690860612e+88 | 6.127301967668972e+91 |
| 5.0ms | 1.468040093031514e-87 | 6.809794987223296e-82 |
| 4.0ms | -2.367794603126858e-307 | 1.2015574741017407e-306 |
| 48.0ms | -8.180716645707177e-158 | -3.8270979497787163e-162 |
Compiled 418 to 313 computations (25.1% saved)
| Inputs |
|---|
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))) |
(sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 l h)) d)) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 l) (/.f64 1 h))) d) |
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 1 l) h)) 1)) d) |
(/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) -1) |
(*.f64 (exp.f64 (*.f64 -1/2 (log.f64 (*.f64 l h)))) d) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2)) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2)) |
(/.f64 (sqrt.f64 d) (pow.f64 (*.f64 (/.f64 l d) h) 1/2)) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2)) d) |
(/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 1 (sqrt.f64 (/.f64 d l)))) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 1/6) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 d h) (/.f64 l d)) 3/2) 1/3) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 1 l) h) 3/2) 1/3) d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (pow.f64 (/.f64 l d) -1/2) 1)) |
(/.f64 (sqrt.f64 (/.f64 d h)) (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(/.f64 (/.f64 d (pow.f64 (*.f64 l h) 1/4)) (pow.f64 (*.f64 l h) 1/4)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (/.f64 l d))) 1)) 1)) |
(*.f64 (*.f64 M M) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 (/.f64 D d) D)))) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l 3))) (*.f64 M (/.f64 (*.f64 -1/8 D) (/.f64 d (*.f64 D M))))) |
(*.f64 (*.f64 D (*.f64 (/.f64 D (/.f64 d M)) M)) (*.f64 -1/8 (sqrt.f64 (/.f64 h (pow.f64 l 3))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d)))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d) |
5 calls:
| 118.0ms | l |
| 95.0ms | h |
| 74.0ms | d |
| 30.0ms | D |
| 29.0ms | M |
| Error | Segments | Branch |
|---|---|---|
| 23.1b | 3 | d |
| 22.9b | 3 | h |
| 23.1b | 3 | l |
| 30.7b | 1 | M |
| 30.7b | 1 | D |
Compiled 628 to 312 computations (50.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 6.0ms | -2.5745010282256767e-304 | -7.259197348159911e-307 |
| 70.0ms | -4.682470295308155e+143 | -1.1133255822133775e+136 |
Compiled 358 to 279 computations (22.1% saved)
| Inputs |
|---|
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))) |
(sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 l h)) d)) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 l) (/.f64 1 h))) d) |
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 1 l) h)) 1)) d) |
(/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) -1) |
(*.f64 (exp.f64 (*.f64 -1/2 (log.f64 (*.f64 l h)))) d) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 1/4) 2)) |
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
5 calls:
| 45.0ms | h |
| 45.0ms | l |
| 44.0ms | d |
| 19.0ms | D |
| 19.0ms | M |
| Error | Segments | Branch |
|---|---|---|
| 23.1b | 3 | d |
| 22.9b | 3 | h |
| 23.1b | 3 | l |
| 31.2b | 1 | M |
| 31.2b | 1 | D |
Compiled 330 to 177 computations (46.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 7.0ms | -2.5745010282256767e-304 | -7.259197348159911e-307 |
| 67.0ms | -4.682470295308155e+143 | -1.1133255822133775e+136 |
Compiled 356 to 277 computations (22.2% saved)
| Inputs |
|---|
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))) |
(sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 l h)) d)) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 l) (/.f64 1 h))) d) |
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 1 l) h)) 1)) d) |
(/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) -1) |
(*.f64 (exp.f64 (*.f64 -1/2 (log.f64 (*.f64 l h)))) d) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) |
5 calls:
| 62.0ms | M |
| 29.0ms | D |
| 29.0ms | h |
| 28.0ms | d |
| 27.0ms | l |
| Error | Segments | Branch |
|---|---|---|
| 24.3b | 2 | d |
| 24.3b | 2 | h |
| 24.3b | 2 | l |
| 34.0b | 5 | M |
| 35.7b | 2 | D |
Compiled 285 to 158 computations (44.6% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 41.0ms | 1.33659821196436e-295 | 8.994264258093791e-293 |
Compiled 272 to 214 computations (21.3% saved)
| Inputs |
|---|
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))) |
(sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 l h)) d)) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 l) (/.f64 1 h))) d) |
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 1 l) h)) 1)) d) |
(/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) |
5 calls:
| 56.0ms | M |
| 26.0ms | d |
| 25.0ms | h |
| 24.0ms | D |
| 23.0ms | l |
| Error | Segments | Branch |
|---|---|---|
| 26.3b | 2 | d |
| 26.3b | 2 | h |
| 26.3b | 2 | l |
| 34.0b | 5 | M |
| 35.7b | 2 | D |
Compiled 253 to 145 computations (42.7% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 39.0ms | 1.33659821196436e-295 | 8.994264258093791e-293 |
Compiled 272 to 214 computations (21.3% saved)
| Inputs |
|---|
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))) |
(sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 l h)) d)) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 h) l)) (neg.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) |
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 l) (/.f64 1 h))) d) |
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (-.f64 (+.f64 1 (pow.f64 (*.f64 l h) -1/2)) 1) d) |
(*.f64 (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (/.f64 1 l) h)) 1)) d) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) |
(/.f64 d (sqrt.f64 (*.f64 l h))) |
5 calls:
| 53.0ms | M |
| 24.0ms | D |
| 24.0ms | h |
| 23.0ms | l |
| 22.0ms | d |
| Error | Segments | Branch |
|---|---|---|
| 27.9b | 2 | d |
| 27.9b | 2 | h |
| 27.9b | 2 | l |
| 34.0b | 5 | M |
| 35.7b | 2 | D |
Compiled 246 to 141 computations (42.7% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 35.0ms | -5.6427496439238757e-266 | -4.255219606362886e-267 |
Compiled 210 to 164 computations (21.9% saved)
| Inputs |
|---|
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))) |
(sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 l h)) d)) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d) |
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 l h))) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))) |
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 l h))) d) |
| Outputs |
|---|
(sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) |
(/.f64 d (sqrt.f64 (*.f64 l h))) |
5 calls:
| 15.0ms | d |
| 14.0ms | l |
| 13.0ms | h |
| 8.0ms | M |
| 8.0ms | D |
| Error | Segments | Branch |
|---|---|---|
| 32.6b | 2 | d |
| 32.7b | 2 | h |
| 32.7b | 2 | l |
| 36.7b | 1 | M |
| 36.7b | 1 | D |
Compiled 135 to 74 computations (45.2% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 45.0ms | 2.2264199037399882e-240 | 1.3231519811526684e-234 |
Compiled 282 to 209 computations (25.9% saved)
Total -0.1b remaining (-0.1%)
Threshold costs -0.1b (-0.1%)
| Inputs |
|---|
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 (pow.f64 (*.f64 l h) -1/2) d) |
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))) |
| Outputs |
|---|
(/.f64 d (sqrt.f64 (*.f64 l h))) |
5 calls:
| 5.0ms | l |
| 4.0ms | D |
| 4.0ms | M |
| 4.0ms | d |
| 4.0ms | h |
| Error | Segments | Branch |
|---|---|---|
| 46.7b | 1 | d |
| 46.7b | 1 | h |
| 46.7b | 1 | l |
| 46.7b | 1 | M |
| 46.7b | 1 | D |
Compiled 63 to 44 computations (30.2% saved)
| 1× | egg-herbie |
| 104× | *-commutative_binary64 |
| 32× | +-commutative_binary64 |
| 31× | sub-neg_binary64 |
| 26× | neg-sub0_binary64 |
| 25× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 341 | 4350 |
| 1 | 448 | 4350 |
| 2 | 507 | 4350 |
| 3 | 556 | 4350 |
| 4 | 596 | 4350 |
| 5 | 615 | 4350 |
| 6 | 625 | 4350 |
| 7 | 630 | 4350 |
| 8 | 633 | 4350 |
| 9 | 634 | 4350 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 l -822752278660603/822752278660603021077484591278675252491367932816789931674304512) (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) (if (<=.f64 l 0) (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 l))) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) (if (<=.f64 l 3499601159652819/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (if (<=.f64 l 999999999999999926539781176481198923508803215199467887262646419780362305536) (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) (if (<=.f64 l 999999999999999928773840520366757536876739320811576612231781480701470095354527494007746341441138276442474389769547563525432293116501122567178714359381222777104854460745804679379644497043208267383631647167377861948545889974808961869943571076775428108923489484800) (/.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 h)) (*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h)))))))) |
(if (<=.f64 d -9999999999999999931398190359470212947659194368) (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) (if (<=.f64 d -1) (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) (if (<=.f64 d -1797693134862316032/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) (if (<=.f64 d 10000000000000000159028911097599180468360808563945281389781327557747838772170381060813469985856815104) (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d))))) |
(if (<=.f64 d -9999999999999999931398190359470212947659194368) (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) (if (<=.f64 d -1) (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) (fma.f64 -1/8 (*.f64 h (*.f64 (/.f64 D (*.f64 (/.f64 l M) (/.f64 (*.f64 d d) D))) M)) 1))) (if (<=.f64 d -1797693134862316032/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) (if (<=.f64 d 10000000000000000159028911097599180468360808563945281389781327557747838772170381060813469985856815104) (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d))))) |
(if (<=.f64 l -822752278660603/822752278660603021077484591278675252491367932816789931674304512) (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1))) (if (<=.f64 l 0) (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) (if (<=.f64 l 3499601159652819/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (if (<=.f64 l 999999999999999926539781176481198923508803215199467887262646419780362305536) (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2))) (if (<=.f64 l 999999999999999928773840520366757536876739320811576612231781480701470095354527494007746341441138276442474389769547563525432293116501122567178714359381222777104854460745804679379644497043208267383631647167377861948545889974808961869943571076775428108923489484800) (/.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 h)) (*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h)))))))) |
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(if (<=.f64 l -18499999999999999037623950533653896188867608051045577875556397302299259514961517717745197447316125640342684568050696901702078277281756449079087912038650539413712824233547651770152973578899558322123706544584610807808) (*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) (if (<=.f64 l -1908238927557551/200867255532373784442745261542645325315275374222849104412672) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 (/.f64 h d))) (if (<=.f64 l -3950954765291961/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056) (*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) (if (<=.f64 l 0) (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l))) (if (<=.f64 l 3499601159652819/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (/.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 h))))))) |
(if (<=.f64 d -18499999999999998706371939809536161875551306575403305820485930180514032964977642708372968743481526541408896613888805836532671292765734115999744) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) (if (<=.f64 d 1553206868521041/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 (/.f64 h d))) (if (<=.f64 d 6947525354238972/115792089237316195423570985008687907853269984665640564039457584007913129639936) (*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h))) (if (<=.f64 d 999999999999999926539781176481198923508803215199467887262646419780362305536) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 (/.f64 h d))) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d))))) |
(if (<=.f64 l -74999999999999996419094065361450785846642512205935583518548813640601420265674067247443066817107807069950804346377448822715848803134291574678333521763565289436081500834991111116339604954542046099612024096023156204414553576001152156004515840) (*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) (if (<=.f64 l -114999999999999997476778271452110590593500590029372946729645710608197274836718845952) (/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) (if (<=.f64 l -11999999999999999346902771844513792) (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) (if (<=.f64 l 0) (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) 1)) (if (<=.f64 l 3499601159652819/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (/.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (+.f64 1 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 1/2 (/.f64 (*.f64 M D) d)) 2) -1/2)))) (sqrt.f64 h))))))) |
(if (<=.f64 l -74999999999999996419094065361450785846642512205935583518548813640601420265674067247443066817107807069950804346377448822715848803134291574678333521763565289436081500834991111116339604954542046099612024096023156204414553576001152156004515840) (*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) (if (<=.f64 l -114999999999999997476778271452110590593500590029372946729645710608197274836718845952) (/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) (if (<=.f64 l -11999999999999999346902771844513792) (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) (if (<=.f64 l 0) (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) 1)) (if (<=.f64 l 3499601159652819/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (if (<=.f64 l 999999999999999966484112715463900049825186092620125502979674597309179755437379230686511104) (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d))))))) |
(if (<=.f64 l -74999999999999996419094065361450785846642512205935583518548813640601420265674067247443066817107807069950804346377448822715848803134291574678333521763565289436081500834991111116339604954542046099612024096023156204414553576001152156004515840) (*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) (if (<=.f64 l -114999999999999997476778271452110590593500590029372946729645710608197274836718845952) (/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) (if (<=.f64 l -11999999999999999346902771844513792) (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) (if (<=.f64 l 0) (/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) (if (<=.f64 l 3499601159652819/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (if (<=.f64 l 999999999999999966484112715463900049825186092620125502979674597309179755437379230686511104) (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d))))))) |
(if (<=.f64 l -3950954765291961/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) (if (<=.f64 l 0) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (if (<=.f64 l 3499601159652819/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (if (<=.f64 l 999999999999999966484112715463900049825186092620125502979674597309179755437379230686511104) (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d))))) |
(if (<=.f64 h -29000000000000001338461997960448038078541904315567026429645424212643895262299748311029020235209920929745034535539076982774074051005774513045504) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (if (<=.f64 h -7906338019816821/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464) (*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d))) |
(if (<=.f64 h -29000000000000001338461997960448038078541904315567026429645424212643895262299748311029020235209920929745034535539076982774074051005774513045504) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (if (<=.f64 h -7906338019816821/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464) (*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))) |
(if (<=.f64 d 15999468900274612/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
(if (<=.f64 d 15999468900274612/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(if (<=.f64 d -5111620622892379/1161731959748268017810986326679609812602547032546401921137321765090578638406565916832162745700122148898280252961088260195667644723081957584211586391486245801392945969099578026517723757683045106929874371704962060317240428677248343818872733547147389127353160238636049931893566678761472) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(if (<=.f64 d 1055744554050661/469219801800293764373197355969328553831984974596843971042368711922664472663701981746713137411270711303034626199044091413698918166643890203860091306664994072502482932661931411083539271868071588269998735494868914134645646190292788569954038367952474854129664) (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(/.f64 d (sqrt.f64 (*.f64 l h))) |
| Outputs |
|---|
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(if (<=.f64 l -74999999999999996419094065361450785846642512205935583518548813640601420265674067247443066817107807069950804346377448822715848803134291574678333521763565289436081500834991111116339604954542046099612024096023156204414553576001152156004515840) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 1 (*.f64 l h)))) (if (<=.f64 l -114999999999999997476778271452110590593500590029372946729645710608197274836718845952) (/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) (if (<=.f64 l -11999999999999999346902771844513792) (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 1 (sqrt.f64 (/.f64 h d)))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 M (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d)))))))) (if (<=.f64 l 0) (/.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d)))) (if (<=.f64 l 3499601159652819/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (if (<=.f64 l 999999999999999966484112715463900049825186092620125502979674597309179755437379230686511104) (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 1 (sqrt.f64 (/.f64 h d)))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 M (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d)))))))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h))))))))) |
(if (<=.f64 l -3950954765291961/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) (if (<=.f64 l 0) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (if (<=.f64 l 3499601159652819/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (if (<=.f64 l 999999999999999966484112715463900049825186092620125502979674597309179755437379230686511104) (*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d))) M))))) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d))))) |
(if (<=.f64 l -3950954765291961/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 (/.f64 1 l) h))) (if (<=.f64 l 0) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (if (<=.f64 l 3499601159652819/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (if (<=.f64 l 999999999999999966484112715463900049825186092620125502979674597309179755437379230686511104) (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 1 (sqrt.f64 (/.f64 h d)))) (+.f64 1 (*.f64 -1/8 (*.f64 M (*.f64 M (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d)))))))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h))))))) |
(if (<=.f64 l -3950954765291961/1013065324433836171511818326096474890383898005918563696288002277756507034036354527929615978746851512277392062160962106733983191180520452956027069051297354415786421338721071661056) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 (/.f64 1 l) h))) (if (<=.f64 l 0) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (if (<=.f64 l 3499601159652819/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (if (<=.f64 l 999999999999999966484112715463900049825186092620125502979674597309179755437379230686511104) (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 1 (sqrt.f64 (/.f64 h d)))) (-.f64 1 (*.f64 1/8 (*.f64 M (*.f64 M (/.f64 (/.f64 D (/.f64 d D)) (/.f64 l (/.f64 h d)))))))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h))))))) |
(if (<=.f64 h -29000000000000001338461997960448038078541904315567026429645424212643895262299748311029020235209920929745034535539076982774074051005774513045504) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (if (<=.f64 h -7906338019816821/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464) (*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h)) d))) |
(if (<=.f64 h -29000000000000001338461997960448038078541904315567026429645424212643895262299748311029020235209920929745034535539076982774074051005774513045504) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (if (<=.f64 h -7906338019816821/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h))))) |
(if (<=.f64 h -29000000000000001338461997960448038078541904315567026429645424212643895262299748311029020235209920929745034535539076982774074051005774513045504) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (if (<=.f64 h -7906338019816821/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 1 (*.f64 l h)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 1 l)) (sqrt.f64 h))))) |
(if (<=.f64 h -29000000000000001338461997960448038078541904315567026429645424212643895262299748311029020235209920929745034535539076982774074051005774513045504) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (if (<=.f64 h -7906338019816821/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464) (*.f64 -1 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))) |
(if (<=.f64 h -29000000000000001338461997960448038078541904315567026429645424212643895262299748311029020235209920929745034535539076982774074051005774513045504) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (if (<=.f64 h -7906338019816821/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 1 (*.f64 l h))))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))) |
(if (<=.f64 h -29000000000000001338461997960448038078541904315567026429645424212643895262299748311029020235209920929745034535539076982774074051005774513045504) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (if (<=.f64 h -7906338019816821/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 1 (*.f64 l h)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))) |
(if (<=.f64 d 15999468900274612/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
(if (<=.f64 d 3999867225068653/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 (/.f64 1 l) h))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
(if (<=.f64 d 15999468900274612/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(if (<=.f64 d 3999867225068653/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 (/.f64 1 l) h))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(if (<=.f64 d -5111620622892379/1161731959748268017810986326679609812602547032546401921137321765090578638406565916832162745700122148898280252961088260195667644723081957584211586391486245801392945969099578026517723757683045106929874371704962060317240428677248343818872733547147389127353160238636049931893566678761472) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) (neg.f64 d)) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(if (<=.f64 d -5111620622892379/1161731959748268017810986326679609812602547032546401921137321765090578638406565916832162745700122148898280252961088260195667644723081957584211586391486245801392945969099578026517723757683045106929874371704962060317240428677248343818872733547147389127353160238636049931893566678761472) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 (/.f64 1 l) h))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(if (<=.f64 d 1055744554050661/469219801800293764373197355969328553831984974596843971042368711922664472663701981746713137411270711303034626199044091413698918166643890203860091306664994072502482932661931411083539271868071588269998735494868914134645646190292788569954038367952474854129664) (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 l d))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(/.f64 d (sqrt.f64 (*.f64 l h))) |
Compiled 2960 to 1767 computations (40.3% saved)
| 1× | egg-herbie |
| 735× | distribute-rgt-neg-in_binary64 |
| 679× | distribute-neg-frac_binary64 |
| 466× | fma-def_binary64 |
| 425× | associate-/l*_binary64 |
| 389× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 41 |
| 1 | 62 | 41 |
| 2 | 195 | 39 |
| 3 | 1301 | 39 |
| 4 | 5063 | 39 |
| 1× | node limit |
Compiled 801 to 612 computations (23.6% saved)
Compiled 3160 to 1445 computations (54.3% saved)
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