Time bar (total: 14.5s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 56.2% | 43.8% | 0 |
| 0% | 56.2% | 43.8% | 1 |
| 0% | 56.2% | 43.8% | 2 |
| 14% | 42.1% | 43.8% | 3 |
| 21.1% | 35.1% | 43.8% | 4 |
| 31.6% | 24.6% | 43.8% | 5 |
| 36.9% | 19.3% | 43.8% | 6 |
| 43% | 13.2% | 43.8% | 7 |
| 46.1% | 10.1% | 43.8% | 8 |
| 49.4% | 6.8% | 43.8% | 9 |
| 51% | 5.2% | 43.8% | 10 |
| 52.7% | 3.5% | 43.8% | 11 |
| 53.6% | 2.6% | 43.8% | 12 |
Compiled 44 to 29 computations (34.1% saved)
| 1.5s | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 810× | distribute-rgt-in_binary64 |
| 782× | distribute-lft-in_binary64 |
| 670× | +-commutative_binary64 |
| 612× | associate-*l*_binary64 |
| 531× | associate-+r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 80 |
| 1 | 65 | 76 |
| 2 | 165 | 76 |
| 3 | 837 | 74 |
| 4 | 5205 | 74 |
| 5 | 5999 | 74 |
| 6 | 6366 | 74 |
| 7 | 7042 | 74 |
| 8 | 7596 | 74 |
| 9 | 7609 | 74 |
| 0 | 2 | 2 |
| 1 | 2 | 2 |
| 1× | unsound |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
0 |
| Inputs |
|---|
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 beta alpha) (*.f64 alpha beta)) 1) (+.f64 (+.f64 beta alpha) (*.f64 2 1))) (+.f64 (+.f64 beta alpha) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 beta alpha) (*.f64 2 1)) 1)) |
| Outputs |
|---|
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))) |
(/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) |
(/.f64 (+.f64 1 (fma.f64 alpha beta (+.f64 alpha beta))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) |
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))))) |
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))))) |
(*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))) |
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 beta alpha) (*.f64 alpha beta)) 1) (+.f64 (+.f64 beta alpha) (*.f64 2 1))) (+.f64 (+.f64 beta alpha) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 beta alpha) (*.f64 2 1)) 1)) |
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))) |
(/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) |
(/.f64 (+.f64 1 (fma.f64 alpha beta (+.f64 alpha beta))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) |
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))))) |
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))))) |
(*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))) |
(sort alpha beta)
Compiled 39 to 26 computations (33.3% saved)
| 1× | egg-herbie |
| 681× | distribute-rgt-in_binary64 |
| 661× | distribute-lft-in_binary64 |
| 485× | associate-*l*_binary64 |
| 473× | associate-/l/_binary64 |
| 389× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 40 |
| 1 | 36 | 38 |
| 2 | 117 | 38 |
| 3 | 624 | 37 |
| 4 | 4304 | 37 |
| 5 | 4993 | 37 |
| 6 | 5254 | 37 |
| 7 | 5793 | 37 |
| 8 | 6311 | 37 |
| 9 | 6324 | 37 |
| 10 | 6554 | 37 |
| 11 | 6681 | 37 |
| 12 | 6824 | 37 |
| 13 | 7124 | 37 |
| 14 | 7928 | 37 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
| Outputs |
|---|
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3)) |
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) 1) (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2)))) |
(/.f64 (/.f64 (+.f64 (fma.f64 alpha beta beta) (+.f64 alpha 1)) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3))) |
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))) |
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))) |
Compiled 62 to 40 computations (35.5% 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 |
|---|---|---|
| ▶ | 9.9b | (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))) |
| ▶ | 2.9b | (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
Compiled 64 to 43 computations (32.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) |
| ✓ | 0.0b | (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)) |
| ✓ | 0.1b | (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))) |
| ✓ | 9.9b | (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))) |
Compiled 89 to 54 computations (39.3% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | beta | @ | 0 | (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))) |
| 3.0ms | alpha | @ | 0 | (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))) |
| 3.0ms | alpha | @ | -inf | (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))) |
| 3.0ms | beta | @ | -inf | (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))) |
| 2.0ms | beta | @ | inf | (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))) |
| 1× | batch-egg-rewrite |
| 518× | fma-neg_binary64 |
| 352× | log1p-udef_binary64 |
| 350× | expm1-udef_binary64 |
| 208× | add-sqr-sqrt_binary64 |
| 203× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 88 |
| 1 | 397 | 76 |
| 2 | 6651 | 76 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))) |
(*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))) |
(*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)) |
(*.f64 (+.f64 alpha 1) (+.f64 beta 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 3 alpha) beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 3 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (/.f64 1 (/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 3 alpha) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (*.f64 (+.f64 1 beta) (/.f64 1 (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha 1) (/.f64 1 (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 beta)) (/.f64 1 (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 3 alpha) beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 3 alpha) beta)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 3 alpha) beta)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 3 alpha) beta)))) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 3 alpha) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 beta))) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 beta))) (/.f64 1 (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 beta))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 beta))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 beta))) (*.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 beta))) (/.f64 1 (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 beta) (neg.f64 (+.f64 alpha 1))) (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (neg.f64 (+.f64 (+.f64 3 alpha) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))) (*.f64 (+.f64 alpha 1) (+.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 1))) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 beta)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) 1) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) 1) (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 beta))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 beta))) (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 beta))) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 beta))) (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 beta))) (+.f64 alpha (+.f64 2 beta))) (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 beta))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))) (+.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 beta))) 2) (+.f64 alpha (+.f64 2 beta))) (/.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 beta))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 beta))) (*.f64 (+.f64 alpha (+.f64 2 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 2 beta)) 3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 alpha 1) (+.f64 beta (*.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 beta) (*.f64 alpha (+.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 beta) (*.f64 (+.f64 1 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta (*.f64 alpha beta)) (+.f64 alpha 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 beta (*.f64 alpha beta)) 1) (+.f64 alpha 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 alpha (+.f64 1 beta)) (+.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 beta) alpha) (+.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 beta (*.f64 alpha beta)) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 beta (*.f64 alpha beta)) 1) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 beta)))) 1)))) 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(-.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 alpha alpha -1) (+.f64 1 beta)) (+.f64 alpha -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) (+.f64 alpha 1)) (fma.f64 beta beta (-.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 beta beta -1) (+.f64 alpha 1)) (+.f64 beta -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 alpha 1) (fma.f64 beta beta -1)) (+.f64 beta -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 beta) (+.f64 1 (pow.f64 alpha 3))) (fma.f64 alpha alpha (-.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 beta) (fma.f64 alpha alpha -1)) (+.f64 alpha -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 beta)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 beta))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 beta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1 beta)) (+.f64 alpha 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (+.f64 1 beta) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 beta) 3) (pow.f64 (+.f64 alpha 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha 1) beta (+.f64 alpha 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (+.f64 alpha 1) (+.f64 alpha 1)))))) |
| 1× | egg-herbie |
| 501× | distribute-rgt-in_binary64 |
| 491× | distribute-lft-in_binary64 |
| 411× | fma-def_binary64 |
| 330× | associate-+r+_binary64 |
| 282× | associate-+l+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 328 | 5598 |
| 1 | 1370 | 5064 |
| 2 | 7236 | 5013 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) |
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha))) |
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))) |
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2)) |
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3))) |
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3))) |
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))))))) (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3))) |
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2)) |
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(+.f64 (/.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))))) (pow.f64 alpha 5)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 5))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4))))))))) |
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) |
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(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2)))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4)))))) |
(+.f64 (/.f64 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))) (pow.f64 beta 5)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)))))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4))))))))) |
(*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) |
(+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (*.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) |
(+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))))) |
(+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 (pow.f64 beta 3) (+.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))))) |
(pow.f64 beta 3) |
(+.f64 (pow.f64 beta 3) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) |
(+.f64 (pow.f64 beta 3) (+.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))))) |
(+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 (pow.f64 beta 3) (+.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))))) |
(pow.f64 beta 3) |
(+.f64 (pow.f64 beta 3) (*.f64 (pow.f64 beta 2) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)))) |
(+.f64 (pow.f64 beta 3) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))) |
(+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 (pow.f64 beta 3) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))))) |
(*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) |
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))) alpha)) |
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))) alpha) (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (pow.f64 alpha 2)))) |
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 alpha 3) (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))) alpha) (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (pow.f64 alpha 2))))) |
(pow.f64 alpha 3) |
(+.f64 (pow.f64 alpha 3) (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (pow.f64 alpha 2))) |
(+.f64 (pow.f64 alpha 3) (+.f64 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (pow.f64 alpha 2)) (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))) alpha))) |
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 alpha 3) (+.f64 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (pow.f64 alpha 2)) (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))) alpha)))) |
(pow.f64 alpha 3) |
(+.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (pow.f64 alpha 2)) (pow.f64 alpha 3)) |
(+.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (pow.f64 alpha 2)) (+.f64 (pow.f64 alpha 3) (*.f64 -1 (*.f64 alpha (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) |
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (pow.f64 alpha 2)) (+.f64 (pow.f64 alpha 3) (*.f64 -1 (*.f64 alpha (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))))) |
(*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) |
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) |
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2))) |
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2))) |
(pow.f64 beta 2) |
(+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)) |
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2))) |
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2))) |
(pow.f64 beta 2) |
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 2)) |
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 2))) |
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 2))) |
(*.f64 (+.f64 beta 3) (+.f64 beta 2)) |
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)) |
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) |
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) |
(pow.f64 alpha 2) |
(+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)) |
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) |
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) |
(pow.f64 alpha 2) |
(+.f64 (pow.f64 alpha 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) alpha))) |
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) alpha)))) |
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) alpha)))) |
(+.f64 beta 1) |
(+.f64 beta (+.f64 (*.f64 (+.f64 beta 1) alpha) 1)) |
(+.f64 beta (+.f64 (*.f64 (+.f64 beta 1) alpha) 1)) |
(+.f64 beta (+.f64 (*.f64 (+.f64 beta 1) alpha) 1)) |
(*.f64 (+.f64 beta 1) alpha) |
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha))) |
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha))) |
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha))) |
(*.f64 (+.f64 beta 1) alpha) |
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha))) |
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha))) |
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha))) |
(+.f64 1 alpha) |
(+.f64 1 (+.f64 (*.f64 (+.f64 1 alpha) beta) alpha)) |
(+.f64 1 (+.f64 (*.f64 (+.f64 1 alpha) beta) alpha)) |
(+.f64 1 (+.f64 (*.f64 (+.f64 1 alpha) beta) alpha)) |
(*.f64 (+.f64 1 alpha) beta) |
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta))) |
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta))) |
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta))) |
(*.f64 (+.f64 1 alpha) beta) |
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta))) |
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta))) |
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta))) |
| Outputs |
|---|
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) |
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) |
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 alpha (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))))) |
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 alpha (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (+.f64 beta 1))))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)))) |
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 alpha (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (+.f64 beta 1)))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)))) |
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha (neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (pow.f64 (+.f64 beta 2) 4)))))))) |
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (fma.f64 alpha (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (+.f64 beta 1))))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (*.f64 alpha alpha) (fma.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 4)) (*.f64 (/.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (+.f64 beta 1))))) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3))))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 alpha (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (+.f64 beta 1)))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (*.f64 alpha alpha) (fma.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 4)) (*.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (+.f64 beta 1)))) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))) |
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (fma.f64 -1 (/.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 3)) (/.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))))) (+.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha (neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (pow.f64 (+.f64 beta 2) 4))))))))) |
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2)) |
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) |
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(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))))))) (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3))) |
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
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(*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) |
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(fma.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha) (*.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) |
(fma.f64 beta (fma.f64 (+.f64 3 alpha) (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) |
(+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))))) |
(fma.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha) (fma.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) (*.f64 (*.f64 beta beta) (+.f64 7 (*.f64 3 alpha))))) |
(fma.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha) (fma.f64 beta (fma.f64 (+.f64 3 alpha) (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 beta (*.f64 beta (fma.f64 3 alpha 7))))) |
(+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 (pow.f64 beta 3) (+.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))))) |
(fma.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha) (+.f64 (pow.f64 beta 3) (fma.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) (*.f64 (*.f64 beta beta) (+.f64 7 (*.f64 3 alpha)))))) |
(fma.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha) (+.f64 (*.f64 beta (fma.f64 (+.f64 3 alpha) (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (*.f64 beta beta) (+.f64 beta (fma.f64 3 alpha 7))))) |
(pow.f64 beta 3) |
(+.f64 (pow.f64 beta 3) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) |
(+.f64 (pow.f64 beta 3) (*.f64 (*.f64 beta beta) (+.f64 7 (*.f64 3 alpha)))) |
(*.f64 (*.f64 beta beta) (+.f64 beta (fma.f64 3 alpha 7))) |
(+.f64 (pow.f64 beta 3) (+.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))))) |
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(+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 (pow.f64 beta 3) (+.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))))) |
(fma.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha) (+.f64 (pow.f64 beta 3) (fma.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) (*.f64 (*.f64 beta beta) (+.f64 7 (*.f64 3 alpha)))))) |
(fma.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha) (+.f64 (*.f64 beta (fma.f64 (+.f64 3 alpha) (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (*.f64 beta beta) (+.f64 beta (fma.f64 3 alpha 7))))) |
(pow.f64 beta 3) |
(+.f64 (pow.f64 beta 3) (*.f64 (pow.f64 beta 2) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)))) |
(+.f64 (pow.f64 beta 3) (*.f64 (*.f64 beta beta) (+.f64 7 (*.f64 3 alpha)))) |
(*.f64 (*.f64 beta beta) (+.f64 beta (fma.f64 3 alpha 7))) |
(+.f64 (pow.f64 beta 3) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))) |
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(-.f64 (*.f64 (*.f64 beta beta) (+.f64 beta (fma.f64 3 alpha 7))) (*.f64 beta (-.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) |
(fma.f64 (*.f64 beta beta) (+.f64 beta (fma.f64 3 alpha 7)) (*.f64 (-.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (neg.f64 beta))) |
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(fma.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha) (+.f64 (pow.f64 beta 3) (fma.f64 (*.f64 beta beta) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (neg.f64 (*.f64 beta (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2)))))))) |
(fma.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha) (-.f64 (*.f64 (*.f64 beta beta) (+.f64 beta (fma.f64 3 alpha 7))) (*.f64 beta (-.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) |
(fma.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha) (fma.f64 (*.f64 beta beta) (+.f64 beta (fma.f64 3 alpha 7)) (*.f64 (-.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (neg.f64 beta)))) |
(*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) |
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))) alpha)) |
(fma.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2) (*.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) alpha)) |
(fma.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) alpha (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) |
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))) alpha) (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (pow.f64 alpha 2)))) |
(fma.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2) (fma.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) alpha (*.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (*.f64 alpha alpha)))) |
(fma.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2) (fma.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) alpha (*.f64 (+.f64 beta (fma.f64 beta 2 7)) (*.f64 alpha alpha)))) |
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 alpha 3) (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))) alpha) (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (pow.f64 alpha 2))))) |
(fma.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2) (+.f64 (pow.f64 alpha 3) (fma.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) alpha (*.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (*.f64 alpha alpha))))) |
(+.f64 (*.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 beta (fma.f64 beta 2 7)))) (fma.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) alpha (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) |
(pow.f64 alpha 3) |
(+.f64 (pow.f64 alpha 3) (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (pow.f64 alpha 2))) |
(+.f64 (pow.f64 alpha 3) (*.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (*.f64 alpha alpha))) |
(*.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 beta (fma.f64 beta 2 7)))) |
(+.f64 (pow.f64 alpha 3) (+.f64 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (pow.f64 alpha 2)) (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))) alpha))) |
(+.f64 (pow.f64 alpha 3) (fma.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) alpha (*.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (*.f64 alpha alpha)))) |
(+.f64 (*.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) alpha) (*.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 beta (fma.f64 beta 2 7))))) |
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 alpha 3) (+.f64 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (pow.f64 alpha 2)) (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))) alpha)))) |
(fma.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2) (+.f64 (pow.f64 alpha 3) (fma.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) alpha (*.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (*.f64 alpha alpha))))) |
(+.f64 (*.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 beta (fma.f64 beta 2 7)))) (fma.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) alpha (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) |
(pow.f64 alpha 3) |
(+.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (pow.f64 alpha 2)) (pow.f64 alpha 3)) |
(+.f64 (pow.f64 alpha 3) (*.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (*.f64 alpha alpha))) |
(*.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 beta (fma.f64 beta 2 7)))) |
(+.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (pow.f64 alpha 2)) (+.f64 (pow.f64 alpha 3) (*.f64 -1 (*.f64 alpha (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) |
(+.f64 (fma.f64 (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3)) (*.f64 alpha alpha) (pow.f64 alpha 3)) (neg.f64 (*.f64 alpha (fma.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (neg.f64 (pow.f64 (+.f64 beta 2) 2)))))) |
(-.f64 (*.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 beta (fma.f64 beta 2 7)))) (*.f64 alpha (-.f64 (*.f64 (+.f64 beta 2) (+.f64 (*.f64 beta -2) -6)) (pow.f64 (+.f64 beta 2) 2)))) |
(fma.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 beta (fma.f64 beta 2 7))) (*.f64 (-.f64 (*.f64 (+.f64 beta 2) (+.f64 (*.f64 beta -2) -6)) (pow.f64 (+.f64 beta 2) 2)) (neg.f64 alpha))) |
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (pow.f64 alpha 2)) (+.f64 (pow.f64 alpha 3) (*.f64 -1 (*.f64 alpha (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))))) |
(fma.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2) (+.f64 (fma.f64 (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3)) (*.f64 alpha alpha) (pow.f64 alpha 3)) (neg.f64 (*.f64 alpha (fma.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (neg.f64 (pow.f64 (+.f64 beta 2) 2))))))) |
(fma.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2) (-.f64 (*.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 beta (fma.f64 beta 2 7)))) (*.f64 alpha (-.f64 (*.f64 (+.f64 beta 2) (+.f64 (*.f64 beta -2) -6)) (pow.f64 (+.f64 beta 2) 2))))) |
(fma.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2) (fma.f64 (*.f64 alpha alpha) (+.f64 alpha (+.f64 beta (fma.f64 beta 2 7))) (*.f64 (-.f64 (*.f64 (+.f64 beta 2) (+.f64 (*.f64 beta -2) -6)) (pow.f64 (+.f64 beta 2) 2)) (neg.f64 alpha)))) |
(*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) |
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) |
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) |
(fma.f64 beta (fma.f64 2 alpha 5) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) |
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2))) |
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (fma.f64 beta (+.f64 5 (*.f64 2 alpha)) (*.f64 beta beta))) |
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (*.f64 beta (+.f64 beta (fma.f64 2 alpha 5)))) |
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2))) |
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (fma.f64 beta (+.f64 5 (*.f64 2 alpha)) (*.f64 beta beta))) |
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (*.f64 beta (+.f64 beta (fma.f64 2 alpha 5)))) |
(pow.f64 beta 2) |
(*.f64 beta beta) |
(+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)) |
(fma.f64 beta (+.f64 5 (*.f64 2 alpha)) (*.f64 beta beta)) |
(*.f64 beta (+.f64 beta (fma.f64 2 alpha 5))) |
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2))) |
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (fma.f64 beta (+.f64 5 (*.f64 2 alpha)) (*.f64 beta beta))) |
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (*.f64 beta (+.f64 beta (fma.f64 2 alpha 5)))) |
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2))) |
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (fma.f64 beta (+.f64 5 (*.f64 2 alpha)) (*.f64 beta beta))) |
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (*.f64 beta (+.f64 beta (fma.f64 2 alpha 5)))) |
(pow.f64 beta 2) |
(*.f64 beta beta) |
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 2)) |
(fma.f64 -1 (*.f64 beta (*.f64 -1 (+.f64 (+.f64 3 alpha) (+.f64 2 alpha)))) (*.f64 beta beta)) |
(-.f64 (*.f64 beta beta) (*.f64 beta (-.f64 (+.f64 -3 (neg.f64 alpha)) (+.f64 2 alpha)))) |
(fma.f64 beta beta (*.f64 beta (+.f64 3 (+.f64 alpha (+.f64 2 alpha))))) |
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 2))) |
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (fma.f64 -1 (*.f64 beta (*.f64 -1 (+.f64 (+.f64 3 alpha) (+.f64 2 alpha)))) (*.f64 beta beta))) |
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (-.f64 (*.f64 beta beta) (*.f64 beta (-.f64 (+.f64 -3 (neg.f64 alpha)) (+.f64 2 alpha))))) |
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (fma.f64 beta beta (*.f64 beta (+.f64 3 (+.f64 alpha (+.f64 2 alpha)))))) |
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 2))) |
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (fma.f64 -1 (*.f64 beta (*.f64 -1 (+.f64 (+.f64 3 alpha) (+.f64 2 alpha)))) (*.f64 beta beta))) |
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (-.f64 (*.f64 beta beta) (*.f64 beta (-.f64 (+.f64 -3 (neg.f64 alpha)) (+.f64 2 alpha))))) |
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (fma.f64 beta beta (*.f64 beta (+.f64 3 (+.f64 alpha (+.f64 2 alpha)))))) |
(*.f64 (+.f64 beta 3) (+.f64 beta 2)) |
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)) |
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (+.f64 (*.f64 beta 2) 5))) |
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (fma.f64 beta 2 5))) |
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) |
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 (*.f64 beta 2) 5)))) |
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (+.f64 alpha (fma.f64 beta 2 5)))) |
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) |
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 (*.f64 beta 2) 5)))) |
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (+.f64 alpha (fma.f64 beta 2 5)))) |
(pow.f64 alpha 2) |
(*.f64 alpha alpha) |
(+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)) |
(+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 (*.f64 beta 2) 5))) |
(*.f64 alpha (+.f64 alpha (fma.f64 beta 2 5))) |
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) |
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 (*.f64 beta 2) 5)))) |
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (+.f64 alpha (fma.f64 beta 2 5)))) |
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) |
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 (*.f64 beta 2) 5)))) |
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (+.f64 alpha (fma.f64 beta 2 5)))) |
(pow.f64 alpha 2) |
(*.f64 alpha alpha) |
(+.f64 (pow.f64 alpha 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) alpha))) |
(+.f64 (*.f64 alpha alpha) (neg.f64 (*.f64 alpha (*.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3)))))) |
(*.f64 alpha (+.f64 alpha (*.f64 1 (+.f64 (+.f64 beta 3) (+.f64 beta 2))))) |
(*.f64 alpha (+.f64 alpha (+.f64 (+.f64 beta 3) (+.f64 beta 2)))) |
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) alpha)))) |
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 (*.f64 alpha alpha) (neg.f64 (*.f64 alpha (*.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3))))))) |
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (+.f64 alpha (*.f64 1 (+.f64 (+.f64 beta 3) (+.f64 beta 2)))))) |
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (+.f64 alpha (+.f64 (+.f64 beta 3) (+.f64 beta 2))))) |
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) alpha)))) |
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 (*.f64 alpha alpha) (neg.f64 (*.f64 alpha (*.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3))))))) |
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (+.f64 alpha (*.f64 1 (+.f64 (+.f64 beta 3) (+.f64 beta 2)))))) |
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (+.f64 alpha (+.f64 (+.f64 beta 3) (+.f64 beta 2))))) |
(+.f64 beta 1) |
(+.f64 beta (+.f64 (*.f64 (+.f64 beta 1) alpha) 1)) |
(+.f64 beta (fma.f64 (+.f64 beta 1) alpha 1)) |
(*.f64 (+.f64 1 alpha) (+.f64 beta 1)) |
(+.f64 beta (+.f64 (*.f64 (+.f64 beta 1) alpha) 1)) |
(+.f64 beta (fma.f64 (+.f64 beta 1) alpha 1)) |
(*.f64 (+.f64 1 alpha) (+.f64 beta 1)) |
(+.f64 beta (+.f64 (*.f64 (+.f64 beta 1) alpha) 1)) |
(+.f64 beta (fma.f64 (+.f64 beta 1) alpha 1)) |
(*.f64 (+.f64 1 alpha) (+.f64 beta 1)) |
(*.f64 (+.f64 beta 1) alpha) |
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha))) |
(+.f64 beta (fma.f64 (+.f64 beta 1) alpha 1)) |
(*.f64 (+.f64 1 alpha) (+.f64 beta 1)) |
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha))) |
(+.f64 beta (fma.f64 (+.f64 beta 1) alpha 1)) |
(*.f64 (+.f64 1 alpha) (+.f64 beta 1)) |
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha))) |
(+.f64 beta (fma.f64 (+.f64 beta 1) alpha 1)) |
(*.f64 (+.f64 1 alpha) (+.f64 beta 1)) |
(*.f64 (+.f64 beta 1) alpha) |
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha))) |
(+.f64 beta (fma.f64 (+.f64 beta 1) alpha 1)) |
(*.f64 (+.f64 1 alpha) (+.f64 beta 1)) |
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha))) |
(+.f64 beta (fma.f64 (+.f64 beta 1) alpha 1)) |
(*.f64 (+.f64 1 alpha) (+.f64 beta 1)) |
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha))) |
(+.f64 beta (fma.f64 (+.f64 beta 1) alpha 1)) |
(*.f64 (+.f64 1 alpha) (+.f64 beta 1)) |
(+.f64 1 alpha) |
(+.f64 1 (+.f64 (*.f64 (+.f64 1 alpha) beta) alpha)) |
(+.f64 1 (fma.f64 (+.f64 1 alpha) beta alpha)) |
(*.f64 (+.f64 beta 1) (+.f64 1 alpha)) |
(+.f64 1 (+.f64 (*.f64 (+.f64 1 alpha) beta) alpha)) |
(+.f64 1 (fma.f64 (+.f64 1 alpha) beta alpha)) |
(*.f64 (+.f64 beta 1) (+.f64 1 alpha)) |
(+.f64 1 (+.f64 (*.f64 (+.f64 1 alpha) beta) alpha)) |
(+.f64 1 (fma.f64 (+.f64 1 alpha) beta alpha)) |
(*.f64 (+.f64 beta 1) (+.f64 1 alpha)) |
(*.f64 (+.f64 1 alpha) beta) |
(*.f64 beta (+.f64 1 alpha)) |
(+.f64 beta (*.f64 beta alpha)) |
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta))) |
(+.f64 1 (fma.f64 (+.f64 1 alpha) beta alpha)) |
(*.f64 (+.f64 beta 1) (+.f64 1 alpha)) |
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta))) |
(+.f64 1 (fma.f64 (+.f64 1 alpha) beta alpha)) |
(*.f64 (+.f64 beta 1) (+.f64 1 alpha)) |
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta))) |
(+.f64 1 (fma.f64 (+.f64 1 alpha) beta alpha)) |
(*.f64 (+.f64 beta 1) (+.f64 1 alpha)) |
(*.f64 (+.f64 1 alpha) beta) |
(*.f64 beta (+.f64 1 alpha)) |
(+.f64 beta (*.f64 beta alpha)) |
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta))) |
(+.f64 1 (fma.f64 (+.f64 1 alpha) beta alpha)) |
(*.f64 (+.f64 beta 1) (+.f64 1 alpha)) |
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta))) |
(+.f64 1 (fma.f64 (+.f64 1 alpha) beta alpha)) |
(*.f64 (+.f64 beta 1) (+.f64 1 alpha)) |
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta))) |
(+.f64 1 (fma.f64 (+.f64 1 alpha) beta alpha)) |
(*.f64 (+.f64 beta 1) (+.f64 1 alpha)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) |
| ✓ | 0.1b | (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
| ✓ | 2.7b | (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) |
Compiled 124 to 60 computations (51.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | beta | @ | 0 | (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) |
| 3.0ms | beta | @ | -inf | (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
| 3.0ms | alpha | @ | 0 | (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) |
| 2.0ms | alpha | @ | -inf | (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) |
| 2.0ms | alpha | @ | -inf | (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
| 1× | batch-egg-rewrite |
| 544× | fma-neg_binary64 |
| 312× | log1p-udef_binary64 |
| 310× | expm1-udef_binary64 |
| 245× | log-pow_binary64 |
| 183× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 93 |
| 1 | 349 | 75 |
| 2 | 5771 | 75 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) |
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (/.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 1)))) 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egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (fma.f64 alpha beta (+.f64 alpha beta))) (log.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (fma.f64 alpha beta (+.f64 alpha beta))) (log.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 1)))))) |
| 1× | egg-herbie |
| 712× | distribute-rgt-in_binary64 |
| 704× | distribute-lft-in_binary64 |
| 492× | fma-def_binary64 |
| 281× | times-frac_binary64 |
| 273× | associate-/r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 566 | 8046 |
| 1 | 2205 | 7585 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 beta 1) (+.f64 beta 2)) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2)))))) |
(+.f64 beta 1) |
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha)) |
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha)) |
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha)) |
(*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) |
(+.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) alpha))) |
(+.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))))) |
(/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha)))) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha))))) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (+.f64 2 alpha)))))) |
(+.f64 1 alpha) |
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) |
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 alpha (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) |
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 alpha (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2)))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) |
(*.f64 -1 (-.f64 (*.f64 -1 alpha) 1)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1))) beta)) (*.f64 -1 (-.f64 (*.f64 -1 alpha) 1))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1))) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)))) (pow.f64 beta 2)) (*.f64 -1 (-.f64 (*.f64 -1 alpha) 1)))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1))) beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)))) (pow.f64 beta 3))) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)))) (pow.f64 beta 2)) (*.f64 -1 (-.f64 (*.f64 -1 alpha) 1))))) |
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) |
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2)) |
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) (pow.f64 alpha 2))) |
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(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) |
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
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(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 alpha) 1))) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 alpha) 1))))) (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 alpha) 1))) (pow.f64 beta 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 alpha) 1))) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2))))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 alpha) 1))))) (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 alpha) 1))) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (pow.f64 beta 5)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 alpha) 1))))) (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 alpha) 1))) (pow.f64 beta 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 alpha) 1))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 alpha) 1))) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 5))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (-.f64 (*.f64 -1 alpha) 1) (+.f64 3 alpha))) (pow.f64 beta 5)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2)))))))) |
(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) |
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) |
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) |
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 6)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))) |
(/.f64 (+.f64 beta 1) alpha) |
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 2))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) alpha)) |
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) alpha)))) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2)) (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 1) (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2)) (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 1) (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 1) (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2)))))) (*.f64 (-.f64 (*.f64 -1 beta) 1) (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2))) (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (+.f64 beta 1) (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2)))))) (pow.f64 alpha 4))) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2)) (pow.f64 alpha 2)))) |
(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) |
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))))) |
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))))))) |
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))))))) |
(/.f64 (+.f64 1 alpha) beta) |
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2))) |
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2))) |
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 4 (*.f64 2 alpha)) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 3)))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) beta)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) beta)))) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) beta)) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 beta 3)))))) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) beta)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) 1)) (*.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (*.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1))))))) (+.f64 2 alpha))) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)))) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4)))))))) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 beta 2)))) |
| Outputs |
|---|
(/.f64 (+.f64 beta 1) (+.f64 beta 2)) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (*.f64 alpha alpha) (fma.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 beta (+.f64 beta 2))))) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (*.f64 alpha alpha) (fma.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 beta (+.f64 beta 2))))) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2)))))) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (*.f64 alpha alpha) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3) (fma.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 beta (+.f64 beta 2)))))) |
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(*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) |
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(/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) |
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(+.f64 1 alpha) |
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) |
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(*.f64 -1 (-.f64 (*.f64 -1 alpha) 1)) |
(neg.f64 (fma.f64 -1 alpha -1)) |
(neg.f64 (-.f64 -1 alpha)) |
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) |
(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3))) |
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(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (fma.f64 -1 (*.f64 (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3))) (-.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3))) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 (+.f64 beta 3) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 (+.f64 beta 3) 2)) (+.f64 beta (+.f64 (*.f64 beta 2) 7))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 (+.f64 beta 3) 2))) (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3))) (-.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3))) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 (+.f64 beta 3) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3)) (+.f64 beta (+.f64 (*.f64 beta 2) 7)))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 (+.f64 beta 3) 2))))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3))) (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3))) (fma.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3))) (-.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3))) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 (+.f64 beta 3) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) alpha (neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3))) (-.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3))) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 (+.f64 beta 3) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 (+.f64 beta 3) 2)) (+.f64 beta (+.f64 (*.f64 beta 2) 7))))))))))) |
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2)) |
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) |
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3))) |
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(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3))) |
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(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) |
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(/.f64 (+.f64 beta 1) alpha) |
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(-.f64 (+.f64 (-.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta 1) (fma.f64 beta 2 4))))) (*.f64 (fma.f64 beta 2 4) (fma.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2) (*.f64 (fma.f64 beta 2 4) (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta 1) (fma.f64 beta 2 4)))))))) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (-.f64 (+.f64 (/.f64 1 alpha) (/.f64 1 (*.f64 alpha alpha))) (/.f64 (fma.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2) (*.f64 (fma.f64 beta 2 4) (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta 1) (fma.f64 beta 2 4)))))) (pow.f64 alpha 3))))) (*.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) (fma.f64 beta 2 4))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) alpha)) |
(/.f64 (+.f64 beta 1) alpha) |
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(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (-.f64 -1 alpha) beta)) (/.f64 (fma.f64 2 alpha 4) (/.f64 (*.f64 beta beta) (-.f64 -1 alpha))))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) beta)) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 beta 3)))))) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 beta 2)))) |
(+.f64 (fma.f64 -2 (/.f64 (+.f64 1 (-.f64 alpha (*.f64 (*.f64 (+.f64 2 alpha) (fma.f64 -1 alpha -1)) -2))) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 alpha (*.f64 beta beta)) (fma.f64 -1 (/.f64 (fma.f64 -1 alpha -1) beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 3) (fma.f64 -1 alpha -1))))))) (*.f64 2 (/.f64 (+.f64 2 alpha) (/.f64 (*.f64 beta beta) (fma.f64 -1 alpha -1))))) |
(fma.f64 -2 (*.f64 (/.f64 (+.f64 1 (-.f64 alpha (*.f64 (+.f64 2 alpha) (*.f64 (-.f64 -1 alpha) -2)))) (pow.f64 beta 3)) (+.f64 2 alpha)) (+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (-.f64 -1 alpha) beta)) (*.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)) (-.f64 -1 alpha)))) (/.f64 (fma.f64 2 alpha 4) (/.f64 (*.f64 beta beta) (-.f64 -1 alpha))))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) beta)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) 1)) (*.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (*.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1))))))) (+.f64 2 alpha))) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)))) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4)))))))) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 beta 2)))) |
(+.f64 (fma.f64 -2 (/.f64 (+.f64 1 (-.f64 alpha (*.f64 (*.f64 (+.f64 2 alpha) (fma.f64 -1 alpha -1)) -2))) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 alpha (*.f64 beta beta)) (+.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 alpha -1) beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 3) (fma.f64 -1 alpha -1)))) (neg.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 alpha) (fma.f64 (pow.f64 (+.f64 2 alpha) 2) (fma.f64 -1 alpha -1) (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 1 (-.f64 alpha (*.f64 (*.f64 (+.f64 2 alpha) (fma.f64 -1 alpha -1)) -2))))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (-.f64 alpha (*.f64 (*.f64 (+.f64 2 alpha) (fma.f64 -1 alpha -1)) -2))))) (pow.f64 beta 4))))))) (*.f64 2 (/.f64 (+.f64 2 alpha) (/.f64 (*.f64 beta beta) (fma.f64 -1 alpha -1))))) |
(+.f64 (+.f64 (fma.f64 -2 (*.f64 (/.f64 (+.f64 1 (-.f64 alpha (*.f64 (+.f64 2 alpha) (*.f64 (-.f64 -1 alpha) -2)))) (pow.f64 beta 3)) (+.f64 2 alpha)) (/.f64 1 (*.f64 beta beta))) (+.f64 (-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (-.f64 -1 alpha) beta)) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)) (-.f64 -1 alpha)) (/.f64 (fma.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (-.f64 alpha (*.f64 (+.f64 2 alpha) (*.f64 (-.f64 -1 alpha) -2)))) (*.f64 (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 1 (-.f64 alpha (*.f64 (+.f64 2 alpha) (*.f64 (-.f64 -1 alpha) -2))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 -1 alpha))) (fma.f64 2 alpha 4))) (pow.f64 beta 4))))) (/.f64 (fma.f64 2 alpha 4) (/.f64 (*.f64 beta beta) (-.f64 -1 alpha)))) |
Compiled 29820 to 21665 computations (27.3% saved)
19 alts after pruning (18 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 533 | 18 | 551 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 534 | 19 | 553 |
| Status | Error | Program |
|---|---|---|
| 28.7b | (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta))) (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) 3) (*.f64 (+.f64 alpha (+.f64 2 beta)) 3))) (-.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta)) (*.f64 (+.f64 alpha (+.f64 2 beta)) 3))))) | |
| 10.4b | (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))) 2)) | |
| ▶ | 2.9b | (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
| 10.7b | (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 3))) | |
| 9.9b | (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (+.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (*.f64 2 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))) | |
| ✓ | 9.9b | (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))) |
| ▶ | 61.9b | (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha))) |
| ▶ | 29.0b | (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
| 12.1b | (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (-.f64 beta (+.f64 alpha 2)))) | |
| 62.8b | (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) | |
| ▶ | 1.5b | (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))) |
| ▶ | 1.6b | (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
| 37.4b | (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta))) | |
| 27.1b | (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) | |
| 1.6b | (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))) | |
| 16.8b | (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))) | |
| 10.5b | (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) | |
| 10.6b | (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))))) | |
| 62.0b | (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) |
Compiled 975 to 691 computations (29.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))) |
| ✓ | 0.1b | (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))) |
| ✓ | 3.4b | (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) |
| ✓ | 14.3b | (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) |
Compiled 112 to 76 computations (32.1% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | alpha | @ | 0 | (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) |
| 5.0ms | beta | @ | -inf | (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) |
| 4.0ms | alpha | @ | 0 | (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) |
| 4.0ms | beta | @ | 0 | (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) |
| 2.0ms | beta | @ | 0 | (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) |
| 1× | batch-egg-rewrite |
| 402× | fma-neg_binary64 |
| 366× | log1p-udef_binary64 |
| 365× | expm1-udef_binary64 |
| 213× | add-sqr-sqrt_binary64 |
| 207× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 116 |
| 1 | 411 | 97 |
| 2 | 6609 | 97 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) |
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) |
(*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 beta) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 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(neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (+.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (+.f64 beta (+.f64 alpha 2))) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 beta (+.f64 alpha 2))) (/.f64 (sqrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (cbrt.f64 (+.f64 1 beta)) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) (/.f64 (+.f64 1 beta) (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) (/.f64 (sqrt.f64 (+.f64 1 beta)) (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))) (/.f64 (+.f64 1 beta) (sqrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (sqrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 beta 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| 1× | egg-herbie |
| 619× | distribute-rgt-in_binary64 |
| 613× | distribute-lft-in_binary64 |
| 576× | fma-def_binary64 |
| 381× | associate-*r*_binary64 |
| 356× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 509 | 7482 |
| 1 | 1955 | 7107 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) |
(+.f64 (*.f64 beta (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))))) (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))) |
(+.f64 (*.f64 beta (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))))) (+.f64 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2)) (+.f64 2 alpha)) (sqrt.f64 (+.f64 3 alpha)))))) (pow.f64 beta 2)))) |
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(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) |
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(*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (+.f64 beta 2)))) (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) alpha)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (+.f64 beta 2)))) (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) alpha) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))))) (pow.f64 alpha 2)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))) (+.f64 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2))) (sqrt.f64 (+.f64 beta 3)))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 3)))) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))))))) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (+.f64 beta 2)))) (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) alpha) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))))) (pow.f64 alpha 2))))) |
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) |
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(+.f64 (*.f64 beta (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (*.f64 -1 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))))) (+.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2))) (+.f64 2 alpha)) (sqrt.f64 (+.f64 3 alpha)))) (*.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))))))) |
(+.f64 (*.f64 beta (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (*.f64 -1 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))))) (+.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2))) (sqrt.f64 (+.f64 3 alpha)))) (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2)) (+.f64 3 alpha))))) (+.f64 2 alpha)) (sqrt.f64 (+.f64 3 alpha)))))))) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2))) (+.f64 2 alpha)) (sqrt.f64 (+.f64 3 alpha)))) (*.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))))))))) |
(*.f64 (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 2)) |
(+.f64 (*.f64 (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 2)) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 3))) alpha)) |
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (+.f64 beta 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 2)) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 3))) alpha))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (+.f64 beta 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 5))) (+.f64 beta 2))) (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))) (pow.f64 alpha 3)) (+.f64 (*.f64 (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 2)) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 3))) alpha)))) |
(*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 3 alpha))) |
(+.f64 (*.f64 beta (+.f64 (sqrt.f64 (+.f64 3 alpha)) (*.f64 1/2 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))))) (*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 3 alpha)))) |
(+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1/8 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))))) (+.f64 (*.f64 beta (+.f64 (sqrt.f64 (+.f64 3 alpha)) (*.f64 1/2 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))))) (*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 3 alpha))))) |
(+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1/8 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))))) (+.f64 (*.f64 beta (+.f64 (sqrt.f64 (+.f64 3 alpha)) (*.f64 1/2 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))))) (+.f64 (*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 3 alpha))) (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/16 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 5))))) (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))))))) |
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) |
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(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))) |
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2)) |
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2)) |
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(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) |
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(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2)))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4)))))) |
(+.f64 (/.f64 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))) (pow.f64 beta 5)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)))))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4))))))))) |
| Outputs |
|---|
(*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) |
(*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 alpha 3)))) |
(/.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 2 alpha)) |
(+.f64 (*.f64 beta (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))))) (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))) |
(fma.f64 beta (fma.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))))) (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))))) |
(fma.f64 beta (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (/.f64 -1/2 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))))) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 2 alpha))) |
(+.f64 (*.f64 beta (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))))) (+.f64 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2)) (+.f64 2 alpha)) (sqrt.f64 (+.f64 3 alpha)))))) (pow.f64 beta 2)))) |
(fma.f64 beta (fma.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))))) (fma.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (*.f64 (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 2 alpha)) (sqrt.f64 (+.f64 alpha 3)))))) (*.f64 beta beta)))) |
(fma.f64 beta (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (/.f64 -1/2 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))))) (fma.f64 (fma.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) (fma.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 2 alpha)) (sqrt.f64 (+.f64 alpha 3))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 beta beta) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 2 alpha)))) |
(+.f64 (*.f64 beta (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))))) (+.f64 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2))) (sqrt.f64 (+.f64 3 alpha)))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2)) (+.f64 3 alpha)))) (+.f64 2 alpha)) (sqrt.f64 (+.f64 3 alpha)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))))))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2)) (+.f64 2 alpha)) (sqrt.f64 (+.f64 3 alpha)))))) (pow.f64 beta 2))))) |
(fma.f64 beta (fma.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (*.f64 -1/2 (*.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))))) (fma.f64 (/.f64 1 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (fma.f64 (pow.f64 beta 3) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (+.f64 alpha 3)) (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (+.f64 alpha 3)) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 alpha 3)))) (+.f64 2 alpha))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))))) (*.f64 (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 2 alpha)) (sqrt.f64 (+.f64 alpha 3)))))) (*.f64 beta beta))))) |
(+.f64 (fma.f64 beta (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (/.f64 -1/2 (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))))) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 2 alpha))) (fma.f64 (pow.f64 beta 3) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (sqrt.f64 (+.f64 alpha 3)) (+.f64 (*.f64 (*.f64 1/2 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2))) (*.f64 -1/2 (/.f64 (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 alpha 3)) (/.f64 1 (pow.f64 (+.f64 alpha 3) 4))) (+.f64 2 alpha))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 4)))))) (*.f64 (fma.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) (fma.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 2 alpha)) (sqrt.f64 (+.f64 alpha 3))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 beta beta)))) |
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) |
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (+.f64 3 beta)))) |
(+.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (*.f64 alpha (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) (*.f64 -1/2 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))))))) |
(fma.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (*.f64 alpha (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))))))) |
(fma.f64 alpha (-.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))))) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (+.f64 3 beta))))) |
(+.f64 (*.f64 (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 1)) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 alpha 2)) (+.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (*.f64 alpha (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) (*.f64 -1/2 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))))) |
(fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (*.f64 1/2 (+.f64 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (/.f64 (+.f64 2 beta) (+.f64 1 beta))) (sqrt.f64 (+.f64 3 beta))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))))))) (*.f64 alpha alpha) (fma.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (*.f64 alpha (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))))))))) |
(fma.f64 (fma.f64 1/2 (fma.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 2 beta) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)))) (sqrt.f64 (+.f64 3 beta)) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta)))) (*.f64 alpha alpha) (fma.f64 alpha (-.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))))) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (+.f64 3 beta)))))) |
(+.f64 (*.f64 (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 1)) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 alpha 2)) (+.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (+.f64 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (sqrt.f64 (+.f64 beta 3)))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 3)))) (+.f64 beta 1)) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))))))) (*.f64 alpha (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) (*.f64 -1/2 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))))))))) |
(fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (*.f64 1/2 (+.f64 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (/.f64 (+.f64 2 beta) (+.f64 1 beta))) (sqrt.f64 (+.f64 3 beta))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))))))) (*.f64 alpha alpha) (fma.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (fma.f64 (pow.f64 alpha 3) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta))) (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (sqrt.f64 (+.f64 3 beta)))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (+.f64 3 beta)) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (+.f64 3 beta)))) (/.f64 (+.f64 2 beta) (+.f64 1 beta)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 4)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))))))) (*.f64 alpha (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))))))))) |
(fma.f64 (fma.f64 1/2 (fma.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 2 beta) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)))) (sqrt.f64 (+.f64 3 beta)) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta)))) (*.f64 alpha alpha) (fma.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (fma.f64 (pow.f64 alpha 3) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta))) (-.f64 (*.f64 (sqrt.f64 (+.f64 3 beta)) (+.f64 (*.f64 (*.f64 -1/2 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2))) (*.f64 -1/2 (/.f64 (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 4)) (/.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2) (+.f64 3 beta))) (/.f64 1 (pow.f64 (+.f64 3 beta) 4))) (/.f64 (+.f64 2 beta) (+.f64 1 beta)))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 4)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))))) (*.f64 alpha (-.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))))))))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (/.f64 1 (+.f64 2 beta))) |
(/.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 2 beta)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (+.f64 beta 2)))) (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) alpha)) |
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (/.f64 1 (+.f64 2 beta)) (*.f64 alpha (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (/.f64 1 (+.f64 2 beta))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))))))) |
(fma.f64 alpha (fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (+.f64 2 beta)) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 2))))) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 2 beta))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (+.f64 beta 2)))) (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) alpha) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))))) (pow.f64 alpha 2)))) |
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (/.f64 1 (+.f64 2 beta)) (fma.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (/.f64 1 (+.f64 2 beta))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))))) alpha (*.f64 (*.f64 alpha alpha) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (+.f64 3 beta)) (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (+.f64 2 beta))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))))))))) |
(+.f64 (/.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 2 beta)) (fma.f64 (*.f64 alpha alpha) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (/.f64 (+.f64 2 beta) (sqrt.f64 (+.f64 3 beta)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 2)))))) (*.f64 alpha (fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (+.f64 2 beta)) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 2)))))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))) (+.f64 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2))) (sqrt.f64 (+.f64 beta 3)))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 3)))) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))))))) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (+.f64 beta 2)))) (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))) alpha) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))) 2)) (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))))) (pow.f64 alpha 2))))) |
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (/.f64 1 (+.f64 2 beta)) (fma.f64 (pow.f64 alpha 3) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (+.f64 3 beta)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (+.f64 3 beta)) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (+.f64 3 beta)))) (+.f64 2 beta))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 4))))))) (fma.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (/.f64 1 (+.f64 2 beta))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))))) alpha (*.f64 (*.f64 alpha alpha) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (+.f64 3 beta)) (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (+.f64 2 beta))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))))))))) |
(+.f64 (/.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 2 beta)) (fma.f64 (pow.f64 alpha 3) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 2)))) (+.f64 (*.f64 (sqrt.f64 (+.f64 3 beta)) (+.f64 (*.f64 (*.f64 1/2 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 2)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2))) (*.f64 -1/2 (/.f64 (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 4)) (/.f64 (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2) (+.f64 3 beta))) (/.f64 1 (pow.f64 (+.f64 3 beta) 4))) (+.f64 2 beta))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 4)))))) (fma.f64 (*.f64 alpha alpha) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) 2)) (/.f64 (+.f64 2 beta) (sqrt.f64 (+.f64 3 beta)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 2)))))) (*.f64 alpha (fma.f64 -1/2 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) (+.f64 2 beta)) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 2))))))))) |
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) |
(+.f64 (*.f64 beta (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (*.f64 -1 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))))) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))) |
(fma.f64 beta (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) |
(fma.f64 beta (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) -1/2)) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) |
(+.f64 (*.f64 beta (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (*.f64 -1 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))))) (+.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2))) (+.f64 2 alpha)) (sqrt.f64 (+.f64 3 alpha)))) (*.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))))))) |
(fma.f64 beta (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (fma.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (*.f64 (*.f64 beta beta) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 2 alpha) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha)))))))) |
(fma.f64 beta (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) -1/2)) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (fma.f64 (*.f64 beta beta) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha)) (*.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2))) (*.f64 (sqrt.f64 (+.f64 alpha 3)) 1/2)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))))) |
(+.f64 (*.f64 beta (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (*.f64 -1 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))))) (+.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))) (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2))) (sqrt.f64 (+.f64 3 alpha)))) (*.f64 -1/2 (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2)) (+.f64 3 alpha))))) (+.f64 2 alpha)) (sqrt.f64 (+.f64 3 alpha)))))))) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)))) 2))) (+.f64 2 alpha)) (sqrt.f64 (+.f64 3 alpha)))) (*.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))))))))) |
(fma.f64 beta (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (fma.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (fma.f64 (pow.f64 beta 3) (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha))) (*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (+.f64 alpha 3)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 (sqrt.f64 (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 2 alpha) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 4)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 alpha 3))))))))))) (*.f64 (*.f64 beta beta) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 2 alpha) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha))))))))) |
(fma.f64 beta (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) -1/2)) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (fma.f64 (pow.f64 beta 3) (-.f64 (*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha))) (*.f64 (sqrt.f64 (+.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2)) (+.f64 alpha 3)) (/.f64 1 (pow.f64 (+.f64 alpha 3) 4)))))))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (*.f64 (*.f64 beta beta) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha)) (*.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) 2))) (*.f64 (sqrt.f64 (+.f64 alpha 3)) 1/2)))))))) |
(*.f64 (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 2)) |
(*.f64 (+.f64 2 beta) (sqrt.f64 (+.f64 3 beta))) |
(+.f64 (*.f64 (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 2)) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 3))) alpha)) |
(fma.f64 (sqrt.f64 (+.f64 3 beta)) (+.f64 2 beta) (*.f64 alpha (fma.f64 1/2 (*.f64 (+.f64 2 beta) (sqrt.f64 (/.f64 1 (+.f64 3 beta)))) (sqrt.f64 (+.f64 3 beta))))) |
(fma.f64 alpha (fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 3 beta)))) (+.f64 2 beta) (sqrt.f64 (+.f64 3 beta))) (*.f64 (+.f64 2 beta) (sqrt.f64 (+.f64 3 beta)))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (+.f64 beta 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 2)) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 3))) alpha))) |
(fma.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (*.f64 -1/8 (*.f64 (+.f64 2 beta) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))))) (*.f64 alpha alpha) (fma.f64 (sqrt.f64 (+.f64 3 beta)) (+.f64 2 beta) (*.f64 alpha (fma.f64 1/2 (*.f64 (+.f64 2 beta) (sqrt.f64 (/.f64 1 (+.f64 3 beta)))) (sqrt.f64 (+.f64 3 beta)))))) |
(fma.f64 (*.f64 alpha alpha) (fma.f64 -1/8 (*.f64 (+.f64 2 beta) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 3 beta))))) (fma.f64 alpha (fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 3 beta)))) (+.f64 2 beta) (sqrt.f64 (+.f64 3 beta))) (*.f64 (+.f64 2 beta) (sqrt.f64 (+.f64 3 beta))))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (+.f64 beta 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 5))) (+.f64 beta 2))) (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))) (pow.f64 alpha 3)) (+.f64 (*.f64 (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 2)) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 3))) (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 3))) alpha)))) |
(fma.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 3 beta))) (*.f64 -1/8 (*.f64 (+.f64 2 beta) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))))) (*.f64 alpha alpha) (fma.f64 (fma.f64 1/16 (*.f64 (+.f64 2 beta) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 5)))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) -1/8)) (pow.f64 alpha 3) (fma.f64 (sqrt.f64 (+.f64 3 beta)) (+.f64 2 beta) (*.f64 alpha (fma.f64 1/2 (*.f64 (+.f64 2 beta) (sqrt.f64 (/.f64 1 (+.f64 3 beta)))) (sqrt.f64 (+.f64 3 beta))))))) |
(fma.f64 (*.f64 alpha alpha) (fma.f64 -1/8 (*.f64 (+.f64 2 beta) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 3 beta))))) (fma.f64 (pow.f64 alpha 3) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3))) -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 5))) (*.f64 (+.f64 2 beta) 1/16))) (fma.f64 alpha (fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 3 beta)))) (+.f64 2 beta) (sqrt.f64 (+.f64 3 beta))) (*.f64 (+.f64 2 beta) (sqrt.f64 (+.f64 3 beta)))))) |
(*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 3 alpha))) |
(*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 alpha 3))) |
(+.f64 (*.f64 beta (+.f64 (sqrt.f64 (+.f64 3 alpha)) (*.f64 1/2 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))))) (*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 3 alpha)))) |
(fma.f64 beta (+.f64 (sqrt.f64 (+.f64 alpha 3)) (*.f64 1/2 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (+.f64 alpha 3)))))) (*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 alpha 3)))) |
(fma.f64 beta (fma.f64 (+.f64 1 (*.f64 alpha 1/2)) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (sqrt.f64 (+.f64 alpha 3))) (*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 alpha 3)))) |
(+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1/8 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))))) (+.f64 (*.f64 beta (+.f64 (sqrt.f64 (+.f64 3 alpha)) (*.f64 1/2 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))))) (*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 3 alpha))))) |
(fma.f64 (*.f64 beta beta) (fma.f64 -1/8 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) 1/2)) (fma.f64 beta (+.f64 (sqrt.f64 (+.f64 alpha 3)) (*.f64 1/2 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (+.f64 alpha 3)))))) (*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 alpha 3))))) |
(fma.f64 (*.f64 beta beta) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (*.f64 (+.f64 2 alpha) -1/8))) (fma.f64 beta (fma.f64 (+.f64 1 (*.f64 alpha 1/2)) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (sqrt.f64 (+.f64 alpha 3))) (*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 alpha 3))))) |
(+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1/8 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 3 alpha)))))) (+.f64 (*.f64 beta (+.f64 (sqrt.f64 (+.f64 3 alpha)) (*.f64 1/2 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (+.f64 3 alpha))))))) (+.f64 (*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 3 alpha))) (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/16 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 5))))) (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3))))))))) |
(fma.f64 (*.f64 beta beta) (fma.f64 -1/8 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) 1/2)) (fma.f64 beta (+.f64 (sqrt.f64 (+.f64 alpha 3)) (*.f64 1/2 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (+.f64 alpha 3)))))) (fma.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 alpha 3)) (*.f64 (pow.f64 beta 3) (fma.f64 1/16 (*.f64 (+.f64 2 alpha) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 5)))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) -1/8)))))) |
(fma.f64 (*.f64 beta beta) (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) (*.f64 (+.f64 2 alpha) -1/8))) (fma.f64 beta (fma.f64 (+.f64 1 (*.f64 alpha 1/2)) (sqrt.f64 (/.f64 1 (+.f64 alpha 3))) (sqrt.f64 (+.f64 alpha 3))) (fma.f64 (pow.f64 beta 3) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3))) -1/8 (*.f64 (+.f64 2 alpha) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 5))) 1/16))) (*.f64 (+.f64 2 alpha) (sqrt.f64 (+.f64 alpha 3)))))) |
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) |
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2))) |
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha))) |
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(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (fma.f64 -1 (*.f64 (/.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 3 beta) 2)) (/.f64 (fma.f64 (+.f64 3 beta) (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 4)))) (/.f64 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (+.f64 3 beta) (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 3 beta) 2)) (/.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 7)) (pow.f64 (+.f64 2 beta) 4)))) (+.f64 3 beta)) (/.f64 (fma.f64 (+.f64 3 beta) (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 (+.f64 3 beta) 2))) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 3 beta) 2)) (/.f64 (fma.f64 (+.f64 3 beta) (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 4)))) (/.f64 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2)) (+.f64 beta (+.f64 (*.f64 2 beta) 7)))) (/.f64 beta (*.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 (+.f64 3 beta) 2))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 3 beta) 2)) (/.f64 (fma.f64 (+.f64 3 beta) (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 4)))) alpha (neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (/.f64 beta (+.f64 3 beta)) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 3 beta) 2)) (/.f64 (fma.f64 (+.f64 3 beta) (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 4)))) (/.f64 (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (+.f64 3 beta) (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 3 beta) 2)) (/.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 7)) (pow.f64 (+.f64 2 beta) 4)))))))))) |
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2)) |
(/.f64 (+.f64 1 beta) (*.f64 alpha alpha)) |
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha) |
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(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 4 (*.f64 3 alpha))))) (pow.f64 beta 3)))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4)))))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha))))) (pow.f64 beta 3)) (/.f64 alpha (*.f64 beta beta))) (neg.f64 (/.f64 (fma.f64 -1 (*.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)))))) (*.f64 (neg.f64 (+.f64 1 alpha)) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4))))) |
(+.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 4 (*.f64 3 alpha))))) (pow.f64 beta 3))) (-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (neg.f64 (fma.f64 (+.f64 3 (+.f64 4 (*.f64 3 alpha))) (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 4 (*.f64 3 alpha))))) (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4)))) |
(+.f64 (/.f64 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))) (pow.f64 beta 5)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)))))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4))))))))) |
(+.f64 (/.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (/.f64 (pow.f64 beta 5) (fma.f64 -1 (*.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)))))) (*.f64 (neg.f64 (+.f64 1 alpha)) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))))))) (fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 5) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha))))))) (+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha))))) (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 5) (*.f64 (+.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 beta beta)) (neg.f64 (/.f64 (fma.f64 -1 (*.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)))))) (*.f64 (neg.f64 (+.f64 1 alpha)) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4))))))))) |
(+.f64 (-.f64 (*.f64 (/.f64 (+.f64 3 (+.f64 4 (*.f64 3 alpha))) (pow.f64 beta 5)) (neg.f64 (fma.f64 (+.f64 3 (+.f64 4 (*.f64 3 alpha))) (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 4 (*.f64 3 alpha))))) (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 (/.f64 (-.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 5)) (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 4 (*.f64 3 alpha))))))) (+.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 4 (*.f64 3 alpha))))) (pow.f64 beta 3))) (-.f64 (-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (neg.f64 (fma.f64 (+.f64 3 (+.f64 4 (*.f64 3 alpha))) (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 4 (*.f64 3 alpha))))) (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4))) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (pow.f64 beta 5) (+.f64 alpha 3)))))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.7b | (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
Compiled 18 to 9 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | beta | @ | 0 | (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
| 1.0ms | alpha | @ | 0 | (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
| 1.0ms | alpha | @ | -inf | (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
| 0.0ms | beta | @ | inf | (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
| 0.0ms | alpha | @ | inf | (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
| 1× | batch-egg-rewrite |
| 809× | pow1_binary64 |
| 757× | add-log-exp_binary64 |
| 756× | log1p-expm1-u_binary64 |
| 756× | expm1-log1p-u_binary64 |
| 740× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 149 | 10 |
| 2 | 2055 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (pow.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) 2) (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (cbrt.f64 (+.f64 1 alpha)) (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta) (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 alpha)) (*.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (*.f64 beta (neg.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 beta -2) (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) 1) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) beta) (/.f64 (cbrt.f64 (+.f64 1 alpha)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 beta 4))) (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (cbrt.f64 (pow.f64 beta 4))) (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (cbrt.f64 (pow.f64 beta 4))) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 (cbrt.f64 beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (neg.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 beta 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1 alpha)) (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (*.f64 beta beta) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 alpha) (log.f64 (pow.f64 beta -2)))))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 560× | cube-prod_binary64 |
| 554× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
| 434× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 285 |
| 1 | 19 | 285 |
| 2 | 30 | 285 |
| 3 | 53 | 285 |
| 4 | 121 | 285 |
| 5 | 363 | 285 |
| 6 | 1349 | 285 |
| 7 | 2197 | 285 |
| 8 | 2361 | 285 |
| 9 | 2545 | 285 |
| 10 | 2753 | 285 |
| 11 | 3052 | 285 |
| 12 | 3443 | 285 |
| 13 | 3926 | 285 |
| 14 | 4492 | 285 |
| 15 | 5182 | 285 |
| 16 | 6015 | 285 |
| 17 | 6409 | 285 |
| 18 | 6697 | 285 |
| 19 | 6973 | 285 |
| 20 | 7047 | 285 |
| 21 | 7081 | 285 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (pow.f64 beta 2)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(/.f64 alpha (pow.f64 beta 2)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(/.f64 alpha (pow.f64 beta 2)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
| Outputs |
|---|
(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (*.f64 beta beta)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(/.f64 (/.f64 alpha beta) beta) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(/.f64 (/.f64 alpha beta) beta) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) | |
| ✓ | 4.1b | (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha))) |
| ✓ | 9.2b | (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)) |
Compiled 56 to 33 computations (41.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | beta | @ | inf | (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)) |
| 1.0ms | beta | @ | 0 | (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha))) |
| 1.0ms | beta | @ | inf | (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha))) |
| 1.0ms | beta | @ | -inf | (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha))) |
| 1.0ms | alpha | @ | 0 | (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha))) |
| 1× | batch-egg-rewrite |
| 665× | fma-def_binary64 |
| 402× | fma-neg_binary64 |
| 300× | log-div_binary64 |
| 271× | log1p-udef_binary64 |
| 268× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 38 |
| 1 | 311 | 38 |
| 2 | 5059 | 38 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)) |
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (*.f64 alpha alpha)) (*.f64 (+.f64 alpha 2) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha 2) (*.f64 alpha alpha)) (*.f64 beta (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 beta alpha) (*.f64 alpha alpha)) (*.f64 2 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 alpha alpha) beta) (*.f64 (*.f64 alpha alpha) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 alpha alpha) (+.f64 alpha 2)) (*.f64 (*.f64 alpha alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 alpha alpha) (+.f64 beta alpha)) (*.f64 (*.f64 alpha alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 alpha alpha)) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 alpha alpha)) (-.f64 (-.f64 beta alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 alpha alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (-.f64 beta alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) (pow.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3) (pow.f64 (*.f64 alpha alpha) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 alpha alpha) 3) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (*.f64 alpha alpha) (*.f64 (+.f64 alpha 2) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha 2) (*.f64 alpha alpha) (*.f64 beta (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 alpha alpha) beta (*.f64 (*.f64 alpha alpha) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 alpha alpha) (+.f64 alpha 2) (*.f64 (*.f64 alpha alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 alpha alpha) (+.f64 beta alpha) (*.f64 (*.f64 alpha alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 beta alpha) (*.f64 alpha alpha) (*.f64 2 (*.f64 alpha alpha))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (/.f64 1 (/.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 1) (/.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (/.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) (log1p.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) (log1p.f64 beta))) 1)))))) |
| 1× | egg-herbie |
| 738× | fma-def_binary64 |
| 688× | distribute-rgt-in_binary64 |
| 657× | distribute-lft-in_binary64 |
| 631× | times-frac_binary64 |
| 448× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 190 | 2294 |
| 1 | 648 | 2251 |
| 2 | 2637 | 2103 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) |
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) |
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) |
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) |
(*.f64 beta (pow.f64 alpha 2)) |
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) |
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) |
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) |
(*.f64 beta (pow.f64 alpha 2)) |
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) |
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) |
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) |
(*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) |
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3)) |
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3)) |
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3)) |
(pow.f64 alpha 3) |
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3)) |
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3)) |
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3)) |
(pow.f64 alpha 3) |
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3)) |
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3)) |
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3)) |
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) alpha)) (/.f64 1 (*.f64 (+.f64 beta 2) alpha))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))) |
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2)) |
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 3))) |
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 3))) |
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 5)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 3))) |
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2)) |
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 2))))) (pow.f64 alpha 4)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (pow.f64 alpha 3)))))) |
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 2))))) (pow.f64 alpha 4)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 2))))) (pow.f64 alpha 5))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (pow.f64 alpha 3))))))) |
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) |
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 2 alpha) alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))))) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 2 alpha) alpha)))) |
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 2 alpha) alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))))) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) alpha)) (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)))))))) |
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 2 alpha) alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))))) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) alpha))))) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) alpha)) (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))))))))) |
(/.f64 (+.f64 1 alpha) (pow.f64 alpha 2)) |
(-.f64 (+.f64 (/.f64 1 (*.f64 beta (pow.f64 alpha 2))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 beta (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 beta (pow.f64 alpha 2))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 1 (*.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2))) (+.f64 2 alpha)) (pow.f64 beta 2))) (/.f64 1 alpha))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 beta (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 beta (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 1 (*.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2))) (+.f64 2 alpha)) (pow.f64 beta 2))) (/.f64 1 alpha)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 beta (pow.f64 alpha 2)))) |
(/.f64 (+.f64 1 alpha) (pow.f64 alpha 2)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2)))) beta)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2)))) beta)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2)))) (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 1 alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2)))) beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2)))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2)))) (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 1 alpha))))) |
| Outputs |
|---|
(*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) |
(*.f64 (+.f64 2 alpha) (*.f64 alpha alpha)) |
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) |
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha))) |
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta))) |
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) |
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha))) |
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta))) |
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) |
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha))) |
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta))) |
(*.f64 beta (pow.f64 alpha 2)) |
(*.f64 (*.f64 alpha alpha) beta) |
(*.f64 alpha (*.f64 alpha beta)) |
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) |
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha))) |
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta))) |
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) |
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha))) |
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta))) |
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) |
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha))) |
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta))) |
(*.f64 beta (pow.f64 alpha 2)) |
(*.f64 (*.f64 alpha alpha) beta) |
(*.f64 alpha (*.f64 alpha beta)) |
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) |
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha))) |
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta))) |
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) |
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha))) |
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta))) |
(+.f64 (*.f64 beta (pow.f64 alpha 2)) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) |
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha))) |
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta))) |
(*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) |
(*.f64 (*.f64 alpha alpha) (+.f64 2 beta)) |
(*.f64 alpha (*.f64 alpha (+.f64 2 beta))) |
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3)) |
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha))) |
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta))) |
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3)) |
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha))) |
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta))) |
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3)) |
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha))) |
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta))) |
(pow.f64 alpha 3) |
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3)) |
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha))) |
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta))) |
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3)) |
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha))) |
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta))) |
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3)) |
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha))) |
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta))) |
(pow.f64 alpha 3) |
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3)) |
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha))) |
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta))) |
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3)) |
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha))) |
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta))) |
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3)) |
(*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 2 alpha))) |
(*.f64 alpha (*.f64 alpha (+.f64 (+.f64 2 alpha) beta))) |
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) |
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 alpha alpha) (+.f64 2 beta))) |
(/.f64 (+.f64 beta 1) (*.f64 alpha (*.f64 alpha (+.f64 2 beta)))) |
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) (+.f64 2 beta)) |
(-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) alpha)) (/.f64 1 (*.f64 (+.f64 beta 2) alpha))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))) |
(+.f64 (/.f64 beta (*.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (-.f64 (+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (+.f64 (/.f64 (/.f64 beta (+.f64 2 beta)) alpha) (/.f64 (/.f64 1 (+.f64 2 beta)) alpha))) (+.f64 (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 2 beta) 2)))))) |
(-.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 alpha (*.f64 alpha (+.f64 2 beta)))) (+.f64 (/.f64 beta (*.f64 alpha (+.f64 2 beta))) (/.f64 1 (*.f64 alpha (+.f64 2 beta))))) (-.f64 (/.f64 beta (*.f64 alpha (*.f64 alpha (+.f64 2 beta)))) (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 2 beta) 2)))) |
(+.f64 (/.f64 (/.f64 (/.f64 beta (+.f64 2 beta)) alpha) alpha) (+.f64 (/.f64 1 (*.f64 alpha (*.f64 alpha (+.f64 2 beta)))) (+.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 2 beta)) alpha) (/.f64 1 (*.f64 alpha (+.f64 2 beta)))) (-.f64 (/.f64 -1 (*.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 2 beta) 2))))))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))) |
(+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (-.f64 (+.f64 (/.f64 beta (*.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (+.f64 (/.f64 (/.f64 beta (+.f64 2 beta)) alpha) (+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (+.f64 (/.f64 (/.f64 1 (+.f64 2 beta)) alpha) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (+.f64 (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))))))) |
(+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (+.f64 (/.f64 beta (*.f64 alpha (*.f64 alpha (+.f64 2 beta)))) (-.f64 (+.f64 (/.f64 1 (*.f64 alpha (*.f64 alpha (+.f64 2 beta)))) (+.f64 (+.f64 (/.f64 1 (*.f64 alpha (+.f64 2 beta))) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (*.f64 alpha (+.f64 2 beta))))) (+.f64 (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (+.f64 (+.f64 (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) |
(+.f64 (+.f64 (/.f64 (/.f64 (/.f64 beta (+.f64 2 beta)) alpha) alpha) (+.f64 (+.f64 (/.f64 1 (*.f64 alpha (+.f64 2 beta))) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (+.f64 (/.f64 1 (*.f64 alpha (*.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 beta (+.f64 2 beta)) alpha)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (+.f64 (+.f64 (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))) |
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(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 2 alpha) alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))))) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) alpha))))) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) alpha)) (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))))))))) |
(fma.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (*.f64 alpha alpha))) (/.f64 1 (*.f64 alpha (+.f64 2 alpha)))) (+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (*.f64 alpha alpha))) (fma.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) (+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)) alpha))) (+.f64 (/.f64 1 (*.f64 alpha (+.f64 2 alpha))) (*.f64 (*.f64 beta beta) (-.f64 (+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))) (+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))))))) |
(+.f64 (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 3))) (-.f64 (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 4))))) (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 3))) (-.f64 (-.f64 (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 (/.f64 1 alpha) (+.f64 2 alpha)))) (fma.f64 beta (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 1 alpha) (+.f64 2 alpha)) alpha) (/.f64 (/.f64 1 alpha) (+.f64 2 alpha))) (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (/.f64 (/.f64 1 alpha) (+.f64 2 alpha)) alpha))) |
(+.f64 (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 (/.f64 1 (*.f64 alpha alpha)) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 -1 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 -1 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))))) (fma.f64 beta (*.f64 beta (+.f64 (-.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 alpha alpha)) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3))) (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 -1 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 (/.f64 1 alpha) (+.f64 2 alpha)))) (fma.f64 beta (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (*.f64 alpha alpha))) (+.f64 (-.f64 (/.f64 (/.f64 1 alpha) (+.f64 2 alpha)) (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 -1 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (*.f64 alpha alpha))))) |
(/.f64 (+.f64 1 alpha) (pow.f64 alpha 2)) |
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) |
(-.f64 (+.f64 (/.f64 1 (*.f64 beta (pow.f64 alpha 2))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 beta (pow.f64 alpha 2)))) |
(+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) beta)) (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 alpha beta)) (/.f64 1 alpha))) (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 2 alpha) (*.f64 alpha alpha))))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 alpha beta)) (/.f64 1 alpha))) (-.f64 (/.f64 1 (*.f64 alpha (*.f64 alpha beta))) (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 2 alpha) (*.f64 alpha alpha))))) |
(fma.f64 (/.f64 (fma.f64 alpha -1 -1) beta) (/.f64 (+.f64 2 alpha) (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (+.f64 (/.f64 (/.f64 1 alpha) beta) (/.f64 1 alpha)) (/.f64 1 (*.f64 alpha (*.f64 alpha beta)))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 beta (pow.f64 alpha 2))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 1 (*.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2))) (+.f64 2 alpha)) (pow.f64 beta 2))) (/.f64 1 alpha))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 beta (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) beta)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 alpha beta)) (fma.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha)) (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 alpha alpha) (+.f64 2 alpha)))) (/.f64 (*.f64 beta beta) (+.f64 2 alpha))) (/.f64 1 alpha))))) (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 2 alpha) (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (-.f64 (/.f64 1 (*.f64 alpha beta)) (/.f64 (+.f64 2 alpha) (/.f64 (*.f64 beta beta) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (-.f64 (/.f64 1 alpha) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 alpha 1)) (*.f64 alpha alpha))))))) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))) (-.f64 (/.f64 1 (*.f64 alpha (*.f64 alpha beta))) (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 2 alpha) (*.f64 alpha alpha))))) |
(fma.f64 (/.f64 (fma.f64 alpha -1 -1) beta) (/.f64 (+.f64 2 alpha) (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 alpha (*.f64 alpha beta))) (+.f64 (/.f64 (/.f64 1 alpha) beta) (+.f64 (-.f64 (/.f64 1 alpha) (*.f64 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)) (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha)) (*.f64 (/.f64 (+.f64 2 alpha) (*.f64 alpha alpha)) (+.f64 alpha 1))))) (/.f64 1 (*.f64 alpha alpha)))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 beta (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 1 (*.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2))) (+.f64 2 alpha)) (pow.f64 beta 2))) (/.f64 1 alpha)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 beta (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 (*.f64 alpha alpha) beta)) (+.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 alpha beta)) (fma.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha)) (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 alpha alpha) (+.f64 2 alpha)))) (/.f64 (*.f64 beta beta) (+.f64 2 alpha))) (/.f64 1 alpha)))) (/.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha)) (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 alpha alpha) (+.f64 2 alpha)))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 2 alpha) (*.f64 alpha alpha)))) |
(+.f64 (/.f64 1 (*.f64 alpha (*.f64 alpha beta))) (+.f64 (+.f64 (-.f64 (/.f64 1 (*.f64 alpha beta)) (/.f64 (+.f64 2 alpha) (/.f64 (*.f64 beta beta) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (-.f64 (/.f64 1 alpha) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 alpha 1)) (*.f64 alpha alpha))))))) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))) (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (-.f64 (/.f64 1 alpha) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 alpha 1)) (*.f64 alpha alpha)))) (pow.f64 beta 3)) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 2 alpha) (*.f64 alpha alpha)))))) |
(fma.f64 (/.f64 (fma.f64 alpha -1 -1) beta) (/.f64 (+.f64 2 alpha) (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 alpha (*.f64 alpha beta))) (+.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha)) (*.f64 (/.f64 (+.f64 2 alpha) (*.f64 alpha alpha)) (+.f64 alpha 1))) (pow.f64 beta 3)) (pow.f64 (+.f64 2 alpha) 2) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 (/.f64 1 alpha) beta))) (-.f64 (/.f64 1 alpha) (*.f64 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)) (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha)) (*.f64 (/.f64 (+.f64 2 alpha) (*.f64 alpha alpha)) (+.f64 alpha 1)))))))) |
(/.f64 (+.f64 1 alpha) (pow.f64 alpha 2)) |
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2)))) beta)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))) |
(fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 alpha alpha) (+.f64 2 alpha))))) beta) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha)) (/.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 alpha 1)) (*.f64 alpha alpha))) beta)) |
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (+.f64 (+.f64 2 alpha) -1)) beta))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2)))) beta)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2)))) (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 1 alpha)))) |
(fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 alpha alpha) (+.f64 2 alpha))))) beta) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (*.f64 -1 (-.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 alpha alpha) (+.f64 2 alpha))))) (/.f64 (*.f64 beta beta) (+.f64 2 alpha)))))) |
(+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha)) (/.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 alpha 1)) (*.f64 alpha alpha))) beta)) (*.f64 (/.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 alpha 1)) (*.f64 alpha alpha))) beta) (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (+.f64 (+.f64 2 alpha) -1)) beta) (/.f64 (+.f64 2 alpha) beta) (/.f64 1 alpha)) (-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (+.f64 (+.f64 2 alpha) -1)) beta))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2)))) beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2)))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2)))) (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 1 alpha))))) |
(fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 alpha alpha) (+.f64 2 alpha))))) beta) (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 alpha alpha) (+.f64 2 alpha))))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (*.f64 -1 (-.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 alpha alpha) (+.f64 2 alpha))))) (/.f64 (*.f64 beta beta) (+.f64 2 alpha))))))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (*.f64 (/.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 alpha 1)) (*.f64 alpha alpha))) beta) (/.f64 (+.f64 2 alpha) beta)))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 3) (fma.f64 -1 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 alpha 1)) (*.f64 alpha alpha)))))) (/.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 alpha 1)) (*.f64 alpha alpha))) beta)) |
(+.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (+.f64 (+.f64 2 alpha) -1)) (*.f64 beta beta)) (+.f64 2 alpha) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))) (*.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (+.f64 (+.f64 2 alpha) -1)) beta) (-.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
| ✓ | 0.0b | (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) |
| ✓ | 0.0b | (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)) |
| ✓ | 1.6b | (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) |
Compiled 89 to 59 computations (33.7% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | beta | @ | -inf | (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) |
| 3.0ms | alpha | @ | 0 | (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) |
| 2.0ms | beta | @ | -inf | (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) |
| 2.0ms | beta | @ | 0 | (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) |
| 1.0ms | alpha | @ | -inf | (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) |
| 1× | batch-egg-rewrite |
| 414× | fma-neg_binary64 |
| 363× | log1p-udef_binary64 |
| 362× | expm1-udef_binary64 |
| 210× | add-sqr-sqrt_binary64 |
| 205× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 88 |
| 1 | 398 | 82 |
| 2 | 6730 | 82 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) |
(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)) |
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
| Outputs |
|---|
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(/.f64 (+.f64 alpha 1) (/.f64 (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 1 beta)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 1 beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 1 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 1 beta))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) 3) (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (+.f64 1 beta)))) 1)))))) |
| 1× | egg-herbie |
| 768× | distribute-rgt-in_binary64 |
| 751× | distribute-lft-in_binary64 |
| 554× | fma-def_binary64 |
| 333× | associate-/r*_binary64 |
| 329× | times-frac_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 527 | 7826 |
| 1 | 2144 | 7301 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) |
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))) (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha)))) |
(/.f64 1 alpha) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 1 alpha)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))))) (*.f64 -1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha)))) |
(/.f64 1 alpha) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 3)) (/.f64 1 alpha)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 3)) (/.f64 1 alpha))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2)))) |
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 5 (*.f64 2 alpha)) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3))))))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (*.f64 (+.f64 5 (*.f64 2 alpha)) (+.f64 3 alpha))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)))) (+.f64 5 (*.f64 2 alpha))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2)))))) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha)) (pow.f64 beta 3)))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) 2) (+.f64 1 alpha)))) (pow.f64 beta 4)))))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) 2) (+.f64 1 alpha))))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) 2) (+.f64 1 alpha)))) (pow.f64 beta 4)))))))) |
(*.f64 (+.f64 beta 3) (+.f64 beta 2)) |
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)) |
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) |
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) |
(pow.f64 alpha 2) |
(+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)) |
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) |
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) |
(pow.f64 alpha 2) |
(+.f64 (pow.f64 alpha 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) alpha))) |
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) alpha)))) |
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) alpha)))) |
(*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) |
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) |
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2))) |
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2))) |
(pow.f64 beta 2) |
(+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)) |
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2))) |
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2))) |
(pow.f64 beta 2) |
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 2)) |
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 2))) |
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 2))) |
(/.f64 1 (+.f64 2 alpha)) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha)))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))) |
1 |
(+.f64 (/.f64 1 beta) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))) |
(+.f64 (/.f64 1 beta) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 1 (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 2)))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 1 (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 2))))))) |
(/.f64 (+.f64 beta 1) (+.f64 beta 2)) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 beta 1) alpha) |
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))))) |
(/.f64 (+.f64 beta 1) alpha) |
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))))) |
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) |
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha))) |
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))) |
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2)) |
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3))) |
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3))) |
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))))))) (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3))) |
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4)))))) |
(+.f64 (/.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))))) (pow.f64 alpha 5)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 5))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4))))))))) |
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) |
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))) |
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))) |
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2)))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4)))))) |
(+.f64 (/.f64 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))) (pow.f64 beta 5)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)))))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4))))))))) |
| Outputs |
|---|
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) |
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) |
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha)) |
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha)) |
(fma.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))) |
(fma.f64 -1 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 beta 2))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha))) |
(-.f64 (fma.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))) (*.f64 (*.f64 alpha alpha) (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (fma.f64 beta 2 5) (+.f64 beta 2)) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))) (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha)))) |
(fma.f64 (-.f64 (+.f64 (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (*.f64 (/.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 beta 2)))) (+.f64 beta 2)))))) (pow.f64 alpha 3) (fma.f64 -1 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 beta 2))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha)))) |
(fma.f64 (-.f64 (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))) (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (fma.f64 beta 2 5) (+.f64 beta 2)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (fma.f64 beta 2 5) (+.f64 beta 2)) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 3))))) (pow.f64 alpha 3) (-.f64 (fma.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))) (*.f64 (*.f64 alpha alpha) (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (fma.f64 beta 2 5) (+.f64 beta 2)) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))))) |
(/.f64 1 alpha) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 1 alpha)) |
(fma.f64 -1 (/.f64 (+.f64 (*.f64 beta 2) 4) (*.f64 alpha alpha)) (/.f64 1 alpha)) |
(-.f64 (/.f64 1 alpha) (/.f64 (fma.f64 beta 2 4) (*.f64 alpha alpha))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha))) |
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1 |
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1 |
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(/.f64 (+.f64 beta 1) (+.f64 beta 2)) |
(/.f64 (+.f64 1 beta) (+.f64 beta 2)) |
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(/.f64 (+.f64 beta 1) alpha) |
(/.f64 (+.f64 1 beta) alpha) |
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(+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (+.f64 1 beta) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (-.f64 (/.f64 1 alpha) (/.f64 (+.f64 1 beta) (/.f64 alpha (/.f64 (+.f64 beta 2) alpha))))) |
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(/.f64 (+.f64 beta 1) alpha) |
(/.f64 (+.f64 1 beta) alpha) |
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(+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (+.f64 1 beta) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (-.f64 (/.f64 1 alpha) (/.f64 (+.f64 1 beta) (/.f64 alpha (/.f64 (+.f64 beta 2) alpha))))) |
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) |
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) |
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) |
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2)) |
(/.f64 (+.f64 1 beta) (*.f64 alpha alpha)) |
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2)) |
(/.f64 (+.f64 1 beta) (*.f64 alpha alpha)) |
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(+.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))) (pow.f64 beta 3))) (-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (neg.f64 (fma.f64 (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))) (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))) (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 (+.f64 -4 (*.f64 alpha -2)) (+.f64 3 alpha)) (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4)))) |
(+.f64 (/.f64 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))) (pow.f64 beta 5)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)))))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4))))))))) |
(+.f64 (/.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (/.f64 (pow.f64 beta 5) (fma.f64 -1 (*.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)))))) (*.f64 (neg.f64 (+.f64 1 alpha)) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))))))) (fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 5) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha))))))) (+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha))))) (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 5) (*.f64 (+.f64 3 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 beta beta)) (neg.f64 (/.f64 (fma.f64 -1 (*.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)))))) (*.f64 (neg.f64 (+.f64 1 alpha)) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4))))))))) |
(+.f64 (-.f64 (*.f64 (/.f64 (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))) (pow.f64 beta 5)) (neg.f64 (fma.f64 (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))) (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))) (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 (+.f64 -4 (*.f64 alpha -2)) (+.f64 3 alpha)) (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 -4 (*.f64 alpha -2)) (+.f64 3 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 5)) (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))))) (+.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))) (pow.f64 beta 3))) (-.f64 (-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (neg.f64 (fma.f64 (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))) (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))) (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 (+.f64 -4 (*.f64 alpha -2)) (+.f64 3 alpha)) (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 5)) (*.f64 (+.f64 3 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (+.f64 beta 2) 2) |
| ✓ | 0.1b | (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
| ✓ | 18.9b | (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) |
Compiled 67 to 47 computations (29.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | beta | @ | inf | (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
| 3.0ms | beta | @ | 0 | (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
| 2.0ms | alpha | @ | 0 | (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
| 2.0ms | beta | @ | -inf | (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
| 2.0ms | alpha | @ | inf | (/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
| 1× | batch-egg-rewrite |
| 937× | prod-diff_binary64 |
| 603× | fma-def_binary64 |
| 387× | fma-neg_binary64 |
| 280× | log1p-udef_binary64 |
| 278× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 42 |
| 1 | 320 | 42 |
| 2 | 4869 | 42 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) |
(/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(pow.f64 (+.f64 beta 2) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 2) (pow.f64 (+.f64 beta 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 2) (pow.f64 (+.f64 beta 2) 4))) (cbrt.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (*.f64 (cbrt.f64 (+.f64 beta 1)) (pow.f64 (+.f64 beta 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 beta 2)) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 beta 1)) (*.f64 (sqrt.f64 (+.f64 beta 1)) (pow.f64 (+.f64 beta 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 beta) -1) (/.f64 1 (neg.f64 (pow.f64 (+.f64 beta 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta 2) -2) (+.f64 beta 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 1)) (pow.f64 (+.f64 beta 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) 1) (/.f64 (sqrt.f64 (+.f64 beta 1)) (pow.f64 (+.f64 beta 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (+.f64 beta 1) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (+.f64 beta 2)) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4))) (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (cbrt.f64 (pow.f64 (+.f64 beta 2) 4))) (cbrt.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (cbrt.f64 (pow.f64 (+.f64 beta 2) 4))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 beta 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 beta 1) (neg.f64 (pow.f64 (+.f64 beta 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 2) (pow.f64 (+.f64 beta 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 beta 1)) (pow.f64 (+.f64 beta 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 beta) (*.f64 2 (log.f64 (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (*.f64 2 (log.f64 (+.f64 beta 2)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 alpha 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2)) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 alpha 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 alpha 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beta (+.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2)) (+.f64 (neg.f64 (+.f64 beta alpha)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 alpha 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 alpha 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 alpha 3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) -2)) 3) (pow.f64 (+.f64 beta (+.f64 alpha 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 alpha 3))))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 2 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 beta 2) beta) (*.f64 (+.f64 beta 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) beta))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 beta 2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 2) (+.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta 2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 (cbrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2)) (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 beta beta -4) (fma.f64 beta beta -4)) (*.f64 (-.f64 beta 2) (-.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 8 (pow.f64 beta 3))) (*.f64 (-.f64 beta 2) (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (fma.f64 beta beta -4)) (*.f64 (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2)) (-.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 beta 2)) (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 beta 2)) (-.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 beta 2) (+.f64 8 (pow.f64 beta 3))) (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 beta 2) (fma.f64 beta beta -4)) (-.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 beta 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 beta 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 beta 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 beta 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (+.f64 beta 2) (*.f64 2 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (+.f64 beta 2) (*.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 beta 2) beta (*.f64 (+.f64 beta 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 beta 2) 2 (*.f64 (+.f64 beta 2) beta)))))) |
| 1× | egg-herbie |
| 775× | times-frac_binary64 |
| 745× | associate-*l*_binary64 |
| 529× | associate-/r*_binary64 |
| 464× | associate-/l*_binary64 |
| 314× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 190 | 2127 |
| 1 | 672 | 2014 |
| 2 | 2883 | 1918 |
| 1× | node limit |
| Inputs |
|---|
1/4 |
(+.f64 1/4 (*.f64 -1/16 (pow.f64 beta 2))) |
(+.f64 1/4 (+.f64 (*.f64 -1/16 (pow.f64 beta 2)) (*.f64 1/16 (pow.f64 beta 3)))) |
(+.f64 (*.f64 -3/64 (pow.f64 beta 4)) (+.f64 1/4 (+.f64 (*.f64 -1/16 (pow.f64 beta 2)) (*.f64 1/16 (pow.f64 beta 3))))) |
(/.f64 1 beta) |
(-.f64 (/.f64 1 beta) (*.f64 3 (/.f64 1 (pow.f64 beta 2)))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3 (/.f64 1 (pow.f64 beta 2)))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 beta 4))) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))) |
(/.f64 1 beta) |
(-.f64 (/.f64 1 beta) (*.f64 3 (/.f64 1 (pow.f64 beta 2)))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3 (/.f64 1 (pow.f64 beta 2)))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 beta 4))) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))) |
(/.f64 1/4 (+.f64 3 alpha)) |
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta)) |
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/16 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha)))))))) |
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/16 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha)))))) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 alpha)) (+.f64 3 alpha))) (*.f64 -1/4 (/.f64 (*.f64 (+.f64 (*.f64 1/16 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha)))))))))) |
(/.f64 1 (pow.f64 beta 2)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (*.f64 4 (+.f64 3 alpha)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (*.f64 4 (+.f64 3 alpha)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 4 (*.f64 4 (+.f64 3 alpha))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (*.f64 4 (+.f64 3 alpha)))) (+.f64 7 alpha))) (*.f64 4 (+.f64 3 alpha)))) (pow.f64 beta 5)))))) |
(/.f64 1 (pow.f64 beta 2)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 3)))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -4 (+.f64 3 alpha)) 4)) (*.f64 (+.f64 1 (*.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha))) (pow.f64 beta 4)))))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -4 (/.f64 (+.f64 3 alpha) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -4 (+.f64 3 alpha)) 4)) (*.f64 (+.f64 1 (*.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha))) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (+.f64 7 alpha) (+.f64 (*.f64 (+.f64 7 alpha) (+.f64 1 (*.f64 -1 (+.f64 7 alpha)))) (*.f64 -1 (-.f64 (*.f64 -4 (+.f64 3 alpha)) 4)))) (pow.f64 beta 5)) (/.f64 (*.f64 (-.f64 (*.f64 -4 (+.f64 3 alpha)) 4) (+.f64 1 (*.f64 -1 (+.f64 7 alpha)))) (pow.f64 beta 5)))))))) |
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) |
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha)))) |
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 beta 3)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 4) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 4) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 beta 3)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha)))))) |
(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 4)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))))) |
(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 4)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))))) |
4 |
(+.f64 4 (*.f64 4 beta)) |
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2))) |
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2))) |
(pow.f64 beta 2) |
(+.f64 (*.f64 4 beta) (pow.f64 beta 2)) |
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2))) |
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2))) |
(pow.f64 beta 2) |
(+.f64 (*.f64 4 beta) (pow.f64 beta 2)) |
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2))) |
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2))) |
| Outputs |
|---|
1/4 |
(+.f64 1/4 (*.f64 -1/16 (pow.f64 beta 2))) |
(+.f64 1/4 (*.f64 -1/16 (*.f64 beta beta))) |
(fma.f64 -1/16 (*.f64 beta beta) 1/4) |
(+.f64 1/4 (+.f64 (*.f64 -1/16 (pow.f64 beta 2)) (*.f64 1/16 (pow.f64 beta 3)))) |
(+.f64 1/4 (fma.f64 -1/16 (*.f64 beta beta) (*.f64 1/16 (pow.f64 beta 3)))) |
(+.f64 1/4 (*.f64 (*.f64 beta beta) (+.f64 -1/16 (*.f64 1/16 beta)))) |
(+.f64 (*.f64 -3/64 (pow.f64 beta 4)) (+.f64 1/4 (+.f64 (*.f64 -1/16 (pow.f64 beta 2)) (*.f64 1/16 (pow.f64 beta 3))))) |
(fma.f64 -3/64 (pow.f64 beta 4) (+.f64 1/4 (fma.f64 -1/16 (*.f64 beta beta) (*.f64 1/16 (pow.f64 beta 3))))) |
(+.f64 (fma.f64 -1/16 (*.f64 beta beta) (*.f64 1/16 (pow.f64 beta 3))) (fma.f64 -3/64 (pow.f64 beta 4) 1/4)) |
(+.f64 (*.f64 (*.f64 beta beta) (+.f64 -1/16 (*.f64 1/16 beta))) (fma.f64 -3/64 (pow.f64 beta 4) 1/4)) |
(/.f64 1 beta) |
(-.f64 (/.f64 1 beta) (*.f64 3 (/.f64 1 (pow.f64 beta 2)))) |
(-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta))) |
(+.f64 (/.f64 1 beta) (/.f64 -3 (*.f64 beta beta))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3 (/.f64 1 (pow.f64 beta 2)))) |
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 8 (pow.f64 beta 3)) (/.f64 3 (*.f64 beta beta)))) |
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 8 (pow.f64 beta 3)) (/.f64 -3 (*.f64 beta beta)))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 beta 4))) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))) |
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 8 (pow.f64 beta 3)) (+.f64 (/.f64 3 (*.f64 beta beta)) (/.f64 20 (pow.f64 beta 4))))) |
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 8 (pow.f64 beta 3)) (-.f64 (/.f64 -20 (pow.f64 beta 4)) (/.f64 3 (*.f64 beta beta))))) |
(/.f64 1 beta) |
(-.f64 (/.f64 1 beta) (*.f64 3 (/.f64 1 (pow.f64 beta 2)))) |
(-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta))) |
(+.f64 (/.f64 1 beta) (/.f64 -3 (*.f64 beta beta))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3 (/.f64 1 (pow.f64 beta 2)))) |
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 8 (pow.f64 beta 3)) (/.f64 3 (*.f64 beta beta)))) |
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 8 (pow.f64 beta 3)) (/.f64 -3 (*.f64 beta beta)))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 beta 4))) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))) |
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 8 (pow.f64 beta 3)) (+.f64 (/.f64 3 (*.f64 beta beta)) (/.f64 20 (pow.f64 beta 4))))) |
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 8 (pow.f64 beta 3)) (-.f64 (/.f64 -20 (pow.f64 beta 4)) (/.f64 3 (*.f64 beta beta))))) |
(/.f64 1/4 (+.f64 3 alpha)) |
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta)) |
(+.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 beta (+.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 -1/16 (/.f64 (+.f64 4 (+.f64 12 (*.f64 alpha 4))) (pow.f64 (+.f64 3 alpha) 2)))))) |
(fma.f64 beta (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 1/16 (/.f64 (+.f64 16 (*.f64 4 alpha)) (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 1/4 (+.f64 3 alpha))) |
(fma.f64 beta (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (+.f64 1/4 (*.f64 (+.f64 3 alpha) 1/4)) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1/4 (+.f64 3 alpha))) |
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/16 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha)))))))) |
(+.f64 (/.f64 1/4 (+.f64 3 alpha)) (fma.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 -1/16 (/.f64 (+.f64 4 (+.f64 12 (*.f64 alpha 4))) (pow.f64 (+.f64 3 alpha) 2)))) beta (neg.f64 (*.f64 (*.f64 beta beta) (fma.f64 1/16 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 3 alpha) 2)) (*.f64 1/4 (/.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 -1/16 (/.f64 (+.f64 4 (+.f64 12 (*.f64 alpha 4))) (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 (+.f64 3 alpha) (+.f64 4 (+.f64 12 (*.f64 alpha 4))))))))))) |
(-.f64 (fma.f64 beta (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 1/16 (/.f64 (+.f64 16 (*.f64 4 alpha)) (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 1/4 (+.f64 3 alpha))) (*.f64 (*.f64 beta beta) (fma.f64 1/16 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 3 alpha) 2)) (/.f64 (*.f64 (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 1/16 (/.f64 (+.f64 16 (*.f64 4 alpha)) (pow.f64 (+.f64 3 alpha) 2)))) 1/4) (/.f64 (+.f64 3 alpha) (+.f64 16 (*.f64 4 alpha))))))) |
(+.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 beta (-.f64 (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (+.f64 1/4 (*.f64 (+.f64 3 alpha) 1/4)) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 (fma.f64 1/4 (*.f64 (/.f64 (+.f64 16 (*.f64 4 alpha)) (+.f64 3 alpha)) (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (+.f64 1/4 (*.f64 (+.f64 3 alpha) 1/4)) (pow.f64 (+.f64 3 alpha) 2)))) (*.f64 (/.f64 1/16 (pow.f64 (+.f64 3 alpha) 2)) (+.f64 alpha 7))) beta)))) |
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/16 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha)))))) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 alpha)) (+.f64 3 alpha))) (*.f64 -1/4 (/.f64 (*.f64 (+.f64 (*.f64 1/16 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha)))))))))) |
(+.f64 (/.f64 1/4 (+.f64 3 alpha)) (fma.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 -1/16 (/.f64 (+.f64 4 (+.f64 12 (*.f64 alpha 4))) (pow.f64 (+.f64 3 alpha) 2)))) beta (fma.f64 -1 (*.f64 (*.f64 beta beta) (fma.f64 1/16 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 3 alpha) 2)) (*.f64 1/4 (/.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 -1/16 (/.f64 (+.f64 4 (+.f64 12 (*.f64 alpha 4))) (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 (+.f64 3 alpha) (+.f64 4 (+.f64 12 (*.f64 alpha 4)))))))) (neg.f64 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1/16 (pow.f64 (+.f64 3 alpha) 2)) (fma.f64 1/4 (/.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 -1/16 (/.f64 (+.f64 4 (+.f64 12 (*.f64 alpha 4))) (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 (+.f64 3 alpha) (+.f64 alpha 7))) (*.f64 -1/4 (/.f64 (fma.f64 1/16 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 3 alpha) 2)) (*.f64 1/4 (/.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 -1/16 (/.f64 (+.f64 4 (+.f64 12 (*.f64 alpha 4))) (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 (+.f64 3 alpha) (+.f64 4 (+.f64 12 (*.f64 alpha 4))))))) (/.f64 (+.f64 3 alpha) (+.f64 4 (+.f64 12 (*.f64 alpha 4))))))))))))) |
(+.f64 (/.f64 1/4 (+.f64 3 alpha)) (fma.f64 beta (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 1/16 (/.f64 (+.f64 16 (*.f64 4 alpha)) (pow.f64 (+.f64 3 alpha) 2)))) (neg.f64 (fma.f64 (*.f64 beta beta) (fma.f64 1/16 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 3 alpha) 2)) (/.f64 (*.f64 (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 1/16 (/.f64 (+.f64 16 (*.f64 4 alpha)) (pow.f64 (+.f64 3 alpha) 2)))) 1/4) (/.f64 (+.f64 3 alpha) (+.f64 16 (*.f64 4 alpha))))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1/16 (pow.f64 (+.f64 3 alpha) 2)) (fma.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 1/16 (/.f64 (+.f64 16 (*.f64 4 alpha)) (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 (+.f64 3 alpha) (+.f64 alpha 7))) (/.f64 (*.f64 (*.f64 -1/4 (fma.f64 1/16 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 3 alpha) 2)) (/.f64 (*.f64 (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 1/16 (/.f64 (+.f64 16 (*.f64 4 alpha)) (pow.f64 (+.f64 3 alpha) 2)))) 1/4) (/.f64 (+.f64 3 alpha) (+.f64 16 (*.f64 4 alpha)))))) (+.f64 16 (*.f64 4 alpha))) (+.f64 3 alpha))))))))) |
(-.f64 (fma.f64 beta (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (+.f64 1/4 (*.f64 (+.f64 3 alpha) 1/4)) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1/4 (+.f64 3 alpha))) (*.f64 (*.f64 beta beta) (+.f64 (fma.f64 1/4 (*.f64 (/.f64 (+.f64 16 (*.f64 4 alpha)) (+.f64 3 alpha)) (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (+.f64 1/4 (*.f64 (+.f64 3 alpha) 1/4)) (pow.f64 (+.f64 3 alpha) 2)))) (*.f64 (/.f64 1/16 (pow.f64 (+.f64 3 alpha) 2)) (+.f64 alpha 7))) (*.f64 (+.f64 (/.f64 1/16 (pow.f64 (+.f64 3 alpha) 2)) (fma.f64 1/4 (*.f64 (/.f64 (+.f64 alpha 7) (+.f64 3 alpha)) (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (+.f64 1/4 (*.f64 (+.f64 3 alpha) 1/4)) (pow.f64 (+.f64 3 alpha) 2)))) (*.f64 (/.f64 (fma.f64 1/4 (*.f64 (/.f64 (+.f64 16 (*.f64 4 alpha)) (+.f64 3 alpha)) (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (+.f64 1/4 (*.f64 (+.f64 3 alpha) 1/4)) (pow.f64 (+.f64 3 alpha) 2)))) (*.f64 (/.f64 1/16 (pow.f64 (+.f64 3 alpha) 2)) (+.f64 alpha 7))) (+.f64 3 alpha)) (*.f64 (+.f64 16 (*.f64 4 alpha)) -1/4)))) beta)))) |
(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (*.f64 beta beta)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3)))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (neg.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)))) |
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (*.f64 4 (+.f64 3 alpha)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))))) |
(fma.f64 -1 (/.f64 (+.f64 4 (fma.f64 -1 (*.f64 (+.f64 alpha 7) (+.f64 alpha 6)) (+.f64 12 (*.f64 alpha 4)))) (pow.f64 beta 4)) (+.f64 (/.f64 1 (*.f64 beta beta)) (neg.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))))) |
(-.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))) (/.f64 (+.f64 (+.f64 16 (*.f64 4 alpha)) (*.f64 (+.f64 alpha 7) (+.f64 (neg.f64 alpha) -6))) (pow.f64 beta 4))) |
(+.f64 (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3)) (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (fma.f64 (+.f64 alpha 7) (-.f64 -6 alpha) (+.f64 16 (*.f64 4 alpha))) (pow.f64 beta 4)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (*.f64 4 (+.f64 3 alpha)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 4 (*.f64 4 (+.f64 3 alpha))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (*.f64 4 (+.f64 3 alpha)))) (+.f64 7 alpha))) (*.f64 4 (+.f64 3 alpha)))) (pow.f64 beta 5)))))) |
(fma.f64 -1 (/.f64 (+.f64 4 (fma.f64 -1 (*.f64 (+.f64 alpha 7) (+.f64 alpha 6)) (+.f64 12 (*.f64 alpha 4)))) (pow.f64 beta 4)) (+.f64 (/.f64 1 (*.f64 beta beta)) (*.f64 -1 (+.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)) (/.f64 (fma.f64 -1 (*.f64 (+.f64 4 (+.f64 12 (*.f64 alpha 4))) (+.f64 alpha 6)) (fma.f64 -1 (*.f64 (+.f64 alpha 7) (+.f64 4 (fma.f64 -1 (*.f64 (+.f64 alpha 7) (+.f64 alpha 6)) (+.f64 12 (*.f64 alpha 4))))) (+.f64 12 (*.f64 alpha 4)))) (pow.f64 beta 5)))))) |
(-.f64 (-.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))) (/.f64 (-.f64 (fma.f64 4 (+.f64 3 alpha) (*.f64 (+.f64 alpha 7) (neg.f64 (+.f64 (+.f64 16 (*.f64 4 alpha)) (*.f64 (+.f64 alpha 7) (+.f64 (neg.f64 alpha) -6)))))) (*.f64 (+.f64 16 (*.f64 4 alpha)) (+.f64 alpha 6))) (pow.f64 beta 5))) (/.f64 (+.f64 (+.f64 16 (*.f64 4 alpha)) (*.f64 (+.f64 alpha 7) (+.f64 (neg.f64 alpha) -6))) (pow.f64 beta 4))) |
(+.f64 (-.f64 (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3)) (/.f64 (fma.f64 (-.f64 -6 alpha) (+.f64 16 (*.f64 4 alpha)) (fma.f64 4 (+.f64 3 alpha) (*.f64 (-.f64 -7 alpha) (fma.f64 (+.f64 alpha 7) (-.f64 -6 alpha) (+.f64 16 (*.f64 4 alpha)))))) (pow.f64 beta 5))) (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (fma.f64 (+.f64 alpha 7) (-.f64 -6 alpha) (+.f64 16 (*.f64 4 alpha))) (pow.f64 beta 4)))) |
(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (*.f64 beta beta)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 3)))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (neg.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)))) |
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -4 (+.f64 3 alpha)) 4)) (*.f64 (+.f64 1 (*.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha))) (pow.f64 beta 4)))))) |
(fma.f64 -1 (/.f64 (+.f64 4 (fma.f64 -1 (*.f64 (+.f64 alpha 7) (+.f64 alpha 6)) (+.f64 12 (*.f64 alpha 4)))) (pow.f64 beta 4)) (+.f64 (/.f64 1 (*.f64 beta beta)) (neg.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))))) |
(-.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))) (/.f64 (+.f64 (+.f64 16 (*.f64 4 alpha)) (*.f64 (+.f64 alpha 7) (+.f64 (neg.f64 alpha) -6))) (pow.f64 beta 4))) |
(+.f64 (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3)) (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (fma.f64 (+.f64 alpha 7) (-.f64 -6 alpha) (+.f64 16 (*.f64 4 alpha))) (pow.f64 beta 4)))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -4 (/.f64 (+.f64 3 alpha) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -4 (+.f64 3 alpha)) 4)) (*.f64 (+.f64 1 (*.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha))) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (+.f64 7 alpha) (+.f64 (*.f64 (+.f64 7 alpha) (+.f64 1 (*.f64 -1 (+.f64 7 alpha)))) (*.f64 -1 (-.f64 (*.f64 -4 (+.f64 3 alpha)) 4)))) (pow.f64 beta 5)) (/.f64 (*.f64 (-.f64 (*.f64 -4 (+.f64 3 alpha)) 4) (+.f64 1 (*.f64 -1 (+.f64 7 alpha)))) (pow.f64 beta 5)))))))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -4 (/.f64 (+.f64 3 alpha) (pow.f64 beta 5)) (+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 7) (pow.f64 beta 3)) (/.f64 1 (pow.f64 beta 3))) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 alpha 7) (+.f64 1 (neg.f64 (+.f64 alpha 7))) (neg.f64 (fma.f64 -4 (+.f64 3 alpha) -4))) (pow.f64 beta 4)) (+.f64 (/.f64 (*.f64 (+.f64 alpha 7) (fma.f64 (+.f64 alpha 7) (+.f64 1 (neg.f64 (+.f64 alpha 7))) (neg.f64 (fma.f64 -4 (+.f64 3 alpha) -4)))) (pow.f64 beta 5)) (/.f64 (fma.f64 -4 (+.f64 3 alpha) -4) (/.f64 (pow.f64 beta 5) (+.f64 1 (neg.f64 (+.f64 alpha 7)))))))))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -4 (/.f64 (+.f64 3 alpha) (pow.f64 beta 5)) (+.f64 (-.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 (+.f64 alpha 7) (pow.f64 beta 3))) (-.f64 (+.f64 (*.f64 (/.f64 (+.f64 alpha 7) (pow.f64 beta 5)) (fma.f64 (+.f64 alpha 7) (+.f64 (neg.f64 alpha) -6) (neg.f64 (fma.f64 (+.f64 3 alpha) -4 -4)))) (*.f64 (/.f64 (fma.f64 (+.f64 3 alpha) -4 -4) (pow.f64 beta 5)) (+.f64 (neg.f64 alpha) -6))) (/.f64 (fma.f64 (+.f64 alpha 7) (+.f64 (neg.f64 alpha) -6) (neg.f64 (fma.f64 (+.f64 3 alpha) -4 -4))) (pow.f64 beta 4)))))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -4 (/.f64 (+.f64 3 alpha) (pow.f64 beta 5)) (+.f64 (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3)) (+.f64 (*.f64 (/.f64 (+.f64 alpha 7) (pow.f64 beta 5)) (fma.f64 (+.f64 alpha 7) (-.f64 -6 alpha) (+.f64 16 (*.f64 4 alpha)))) (-.f64 (/.f64 (*.f64 (+.f64 16 (*.f64 4 alpha)) (+.f64 alpha 6)) (pow.f64 beta 5)) (/.f64 (fma.f64 (+.f64 alpha 7) (-.f64 -6 alpha) (+.f64 16 (*.f64 4 alpha))) (pow.f64 beta 4))))))) |
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) |
(/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) |
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha)))) |
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (neg.f64 (*.f64 alpha (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2)))))))) |
(+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (*.f64 alpha (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))))))) |
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 (*.f64 alpha beta) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2)))))) |
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 beta 3)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha))))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (neg.f64 (*.f64 alpha (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2)))))))) (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2)))) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)))) |
(+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (+.f64 (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (*.f64 alpha (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2)))))) (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2)))) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))))) |
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 (*.f64 alpha beta) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))))) (*.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta 3)) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 4) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 4) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 beta 3)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha)))))) |
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 4))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 4))))) (+.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (neg.f64 (*.f64 alpha (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2)))))))) (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2)))) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))))) |
(+.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (*.f64 alpha (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))))))) (fma.f64 (neg.f64 (pow.f64 alpha 3)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 4))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 4)))) (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2)))) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 (*.f64 alpha beta) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2)))))) (-.f64 (*.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta 3)) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 2))))) (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 3) 4)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 3) 4))))))) |
(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) |
(/.f64 (+.f64 beta 1) (*.f64 alpha (pow.f64 (+.f64 beta 2) 2))) |
(/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) alpha) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))) |
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (+.f64 (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 beta 2) 2))))) |
(-.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) alpha) (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)))) |
(+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) alpha) (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) alpha) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))) |
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (+.f64 (+.f64 (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))))) |
(-.f64 (fma.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) alpha) (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 beta 2) 2))))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) alpha) (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) alpha)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 (neg.f64 (+.f64 beta 3)) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 4)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))))) |
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (+.f64 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 beta 2) 2))))))) |
(-.f64 (fma.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) alpha) (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 4))))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)))) |
(+.f64 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 4)))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) alpha) (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) alpha) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)))))) |
(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) |
(/.f64 (+.f64 beta 1) (*.f64 alpha (pow.f64 (+.f64 beta 2) 2))) |
(/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) alpha) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))) |
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (+.f64 (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 beta 2) 2))))) |
(-.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) alpha) (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)))) |
(+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) alpha) (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) alpha) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))) |
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (+.f64 (+.f64 (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))))) |
(-.f64 (fma.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) alpha) (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 beta 2) 2))))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) alpha) (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) alpha)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 (neg.f64 (+.f64 beta 3)) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 4)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))))) |
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (+.f64 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 beta 2) 2))))))) |
(-.f64 (fma.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) alpha) (/.f64 beta (*.f64 alpha (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 4))))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)))) |
(+.f64 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 4)))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) alpha) (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) alpha) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)))))) |
4 |
(+.f64 4 (*.f64 4 beta)) |
(+.f64 4 (*.f64 beta 4)) |
(fma.f64 beta 4 4) |
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2))) |
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta))) |
(+.f64 4 (*.f64 beta (+.f64 beta 4))) |
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2))) |
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta))) |
(+.f64 4 (*.f64 beta (+.f64 beta 4))) |
(pow.f64 beta 2) |
(*.f64 beta beta) |
(+.f64 (*.f64 4 beta) (pow.f64 beta 2)) |
(fma.f64 4 beta (*.f64 beta beta)) |
(*.f64 beta (+.f64 beta 4)) |
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2))) |
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta))) |
(+.f64 4 (*.f64 beta (+.f64 beta 4))) |
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2))) |
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta))) |
(+.f64 4 (*.f64 beta (+.f64 beta 4))) |
(pow.f64 beta 2) |
(*.f64 beta beta) |
(+.f64 (*.f64 4 beta) (pow.f64 beta 2)) |
(fma.f64 4 beta (*.f64 beta beta)) |
(*.f64 beta (+.f64 beta 4)) |
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2))) |
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta))) |
(+.f64 4 (*.f64 beta (+.f64 beta 4))) |
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2))) |
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta))) |
(+.f64 4 (*.f64 beta (+.f64 beta 4))) |
Compiled 48080 to 35604 computations (25.9% saved)
21 alts after pruning (19 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1028 | 17 | 1045 |
| Fresh | 11 | 2 | 13 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 1043 | 21 | 1064 |
| Status | Error | Program |
|---|---|---|
| 28.4b | (*.f64 (pow.f64 beta -2) (+.f64 1 alpha)) | |
| 2.9b | (/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) | |
| 3.1b | (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) | |
| 37.4b | (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta))) | |
| 29.1b | (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) | |
| 34.1b | (/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) | |
| ✓ | 9.9b | (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))) |
| 35.8b | (+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta)) | |
| ▶ | 35.4b | (/.f64 1/4 (+.f64 3 alpha)) |
| ▶ | 24.6b | (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 1) |
| 2.2b | (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) | |
| ✓ | 29.0b | (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
| 27.6b | (*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)) | |
| ▶ | 28.1b | (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)) |
| ▶ | 15.1b | (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 1 (+.f64 2 alpha))) |
| 30.0b | (/.f64 1 (*.f64 beta beta)) | |
| 2.6b | (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) | |
| 27.1b | (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) | |
| ▶ | 1.8b | (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
| 42.0b | (/.f64 (/.f64 alpha beta) beta) | |
| 29.0b | (/.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
Compiled 714 to 537 computations (24.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
| 0.0b | (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) | |
| ✓ | 0.0b | (*.f64 (+.f64 5 (*.f64 2 beta)) alpha) |
| ✓ | 1.6b | (/.f64 (+.f64 alpha 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) |
Compiled 122 to 87 computations (28.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | alpha | @ | inf | (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
| 3.0ms | alpha | @ | 0 | (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
| 3.0ms | alpha | @ | -inf | (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
| 3.0ms | beta | @ | 0 | (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
| 2.0ms | beta | @ | -inf | (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
| 1× | batch-egg-rewrite |
| 260× | add-sqr-sqrt_binary64 |
| 253× | *-un-lft-identity_binary64 |
| 253× | pow1_binary64 |
| 244× | add-cbrt-cube_binary64 |
| 244× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 77 |
| 1 | 517 | 71 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 alpha 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) |
(*.f64 (+.f64 5 (*.f64 2 beta)) alpha) |
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (fma.f64 beta 2 5)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 alpha 1) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (fma.f64 beta 2 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (/.f64 1 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (fma.f64 beta 2 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (fma.f64 beta 2 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (fma.f64 beta 2 5))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (fma.f64 beta 2 5))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 (+.f64 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| 1× | egg-herbie |
| 551× | distribute-rgt-in_binary64 |
| 543× | distribute-lft-in_binary64 |
| 338× | fma-def_binary64 |
| 313× | associate-+r+_binary64 |
| 306× | times-frac_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 416 | 7125 |
| 1 | 1724 | 6346 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) |
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))) |
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (*.f64 (pow.f64 (+.f64 5 (*.f64 2 beta)) 2) (pow.f64 alpha 3))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha)))) |
(/.f64 1 (+.f64 5 (*.f64 2 beta))) |
(-.f64 (+.f64 (/.f64 1 (+.f64 5 (*.f64 2 beta))) (/.f64 1 (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (pow.f64 (+.f64 5 (*.f64 2 beta)) 2) alpha))) |
(-.f64 (+.f64 (/.f64 1 (+.f64 5 (*.f64 2 beta))) (+.f64 (/.f64 1 (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (*.f64 (-.f64 (/.f64 1 (+.f64 5 (*.f64 2 beta))) (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 5 (*.f64 2 beta)) 2))) (+.f64 beta 2))) (*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2)))))) (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (pow.f64 (+.f64 5 (*.f64 2 beta)) 2) alpha))) |
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(/.f64 (+.f64 1 alpha) (+.f64 6 (*.f64 5 alpha))) |
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
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(*.f64 5 alpha) |
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(*.f64 2 (*.f64 beta alpha)) |
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(*.f64 2 (*.f64 beta alpha)) |
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) |
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)) |
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)) |
(-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (*.f64 (+.f64 beta 2) (+.f64 5 (*.f64 2 beta)))))) (*.f64 (pow.f64 (+.f64 5 (*.f64 2 beta)) 2) (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 beta (*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 5 (*.f64 2 beta)) 2) (pow.f64 alpha 3)))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (+.f64 5 (*.f64 2 beta))) (/.f64 1 (+.f64 5 (*.f64 2 beta)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 2) (+.f64 5 (*.f64 2 beta)))) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (pow.f64 (+.f64 5 (*.f64 2 beta)) 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (*.f64 (+.f64 beta 2) (+.f64 5 (*.f64 2 beta)))))) (*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 3))) (/.f64 1 (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (*.f64 (+.f64 beta 2) (+.f64 5 (*.f64 2 beta)))))) (*.f64 (pow.f64 (+.f64 5 (*.f64 2 beta)) 2) (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 beta (*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (+.f64 5 (*.f64 2 beta))) (/.f64 1 (+.f64 5 (*.f64 2 beta)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 2) (+.f64 5 (*.f64 2 beta)))) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (pow.f64 (+.f64 5 (*.f64 2 beta)) 2)))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 5 (*.f64 2 beta))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (+.f64 5 (*.f64 2 beta))) (/.f64 1 (+.f64 5 (*.f64 2 beta)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (*.f64 (+.f64 beta 2) (+.f64 5 (*.f64 2 beta)))))) (pow.f64 (+.f64 5 (*.f64 2 beta)) 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 2) (+.f64 5 (*.f64 2 beta)))) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (+.f64 5 (*.f64 2 beta))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 5 (*.f64 2 beta)) 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (*.f64 (+.f64 beta 2) (+.f64 5 (*.f64 2 beta)))))) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 5 (*.f64 2 beta)) 2) (pow.f64 alpha 3)))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (+.f64 5 (*.f64 2 beta))) (/.f64 1 (+.f64 5 (*.f64 2 beta)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 2) (+.f64 5 (*.f64 2 beta)))) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (pow.f64 (+.f64 5 (*.f64 2 beta)) 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (*.f64 (+.f64 beta 2) (+.f64 5 (*.f64 2 beta)))))) (*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 3))) (/.f64 1 (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (*.f64 (+.f64 beta 2) (+.f64 5 (*.f64 2 beta)))))) (*.f64 (pow.f64 (+.f64 5 (*.f64 2 beta)) 2) (pow.f64 alpha 2))))) |
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) |
(+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (+.f64 (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))) beta))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (+.f64 (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))) beta)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))) (/.f64 1 (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (+.f64 (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (/.f64 1 (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 6 (*.f64 5 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))) beta))))) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha))))) (pow.f64 beta 4))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 5 (*.f64 2 alpha))) (+.f64 6 (*.f64 5 alpha))))) (pow.f64 beta 4))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5))))))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2)))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5))))))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -2 alpha) 5)) (*.f64 -1 (+.f64 6 (*.f64 5 alpha)))))) (*.f64 -1 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5)))) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5)))))))))) (pow.f64 beta 4)))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5))))))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5))))))) (+.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -2 alpha) 5)) (*.f64 -1 (+.f64 6 (*.f64 5 alpha))))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -2 alpha) 5)) (*.f64 -1 (+.f64 6 (*.f64 5 alpha)))))) (*.f64 -1 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5)))) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5)))))))))) (pow.f64 beta 4))) (/.f64 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (+.f64 6 (*.f64 5 alpha))) (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -2 alpha) 5))))) (*.f64 -1 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5)))) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5))))))))))) (pow.f64 beta 5)))))))) |
| Outputs |
|---|
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) |
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) |
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha)) |
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha)) |
(fma.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))) |
(fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 beta 2)) (*.f64 alpha alpha)))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha))) |
(-.f64 (fma.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))) (*.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (*.f64 alpha alpha) (/.f64 (+.f64 beta 2) (fma.f64 beta 2 5))))) |
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (*.f64 (pow.f64 (+.f64 5 (*.f64 2 beta)) 2) (pow.f64 alpha 3))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha)))) |
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(/.f64 1 (+.f64 5 (*.f64 2 beta))) |
(/.f64 1 (+.f64 5 (*.f64 beta 2))) |
(/.f64 1 (fma.f64 beta 2 5)) |
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(/.f64 1 (+.f64 5 (*.f64 2 beta))) |
(/.f64 1 (+.f64 5 (*.f64 beta 2))) |
(/.f64 1 (fma.f64 beta 2 5)) |
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(/.f64 (+.f64 1 alpha) (+.f64 6 (*.f64 5 alpha))) |
(/.f64 (+.f64 1 alpha) (fma.f64 5 alpha 6)) |
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(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (+.f64 5 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 beta 2)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 beta 2))) (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (+.f64 5 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (+.f64 5 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 beta 2)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (+.f64 5 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))) |
(fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 1 beta) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 3) (+.f64 5 (*.f64 beta 2)))))))) alpha (fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 1 beta) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 3) (+.f64 5 (*.f64 beta 2)))))))) (+.f64 beta 3)) (/.f64 (+.f64 5 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 1 beta)) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 1 beta) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 3) (+.f64 5 (*.f64 beta 2)))))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 3) (+.f64 5 (*.f64 beta 2))))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 3) (+.f64 5 (*.f64 beta 2))))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (*.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 1 beta)) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 1 beta) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 3) (+.f64 5 (*.f64 beta 2)))))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 3) (+.f64 5 (*.f64 beta 2))))))))))))) |
(fma.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 1 beta) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 3 (fma.f64 beta 2 5)))))))) (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (*.f64 alpha alpha) (fma.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 1 beta) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 3 (fma.f64 beta 2 5)))))))) (+.f64 beta 3)) (/.f64 (+.f64 beta 2) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 3 (fma.f64 beta 2 5))))) (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 beta 2 5) (pow.f64 (+.f64 beta 2) 4))))))) (*.f64 (pow.f64 alpha 3) (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 1 beta) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 3 (fma.f64 beta 2 5)))))))) (+.f64 beta 3)) (/.f64 (fma.f64 beta 2 5) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 3) (+.f64 beta (+.f64 3 (fma.f64 beta 2 5))))) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 1 beta) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 3 (fma.f64 beta 2 5)))))))) (+.f64 beta 3)) (/.f64 (+.f64 beta 2) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 3 (fma.f64 beta 2 5))))) (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 beta 2 5) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2))))))) |
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)) |
(/.f64 (+.f64 1 beta) (*.f64 alpha (+.f64 5 (*.f64 beta 2)))) |
(/.f64 (+.f64 1 beta) (*.f64 alpha (fma.f64 beta 2 5))) |
(-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 beta 2)))) (*.f64 (pow.f64 (+.f64 5 (*.f64 2 beta)) 2) (pow.f64 alpha 2)))) |
(+.f64 (/.f64 beta (*.f64 alpha (+.f64 5 (*.f64 beta 2)))) (-.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 5 (*.f64 beta 2))) (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 alpha (+.f64 5 (*.f64 beta 2)))) (/.f64 beta (*.f64 (+.f64 5 (*.f64 beta 2)) (*.f64 alpha alpha))))) (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 5 (*.f64 beta 2)) 2)) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 3) (+.f64 5 (*.f64 beta 2)))) (*.f64 alpha alpha))))) |
(+.f64 (/.f64 beta (*.f64 alpha (fma.f64 beta 2 5))) (+.f64 (+.f64 (/.f64 1 (*.f64 alpha (fma.f64 beta 2 5))) (/.f64 beta (*.f64 alpha (*.f64 alpha (fma.f64 beta 2 5))))) (-.f64 (/.f64 1 (*.f64 alpha (*.f64 alpha (fma.f64 beta 2 5)))) (/.f64 (+.f64 1 beta) (*.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta 2)) (/.f64 (pow.f64 (fma.f64 beta 2 5) 2) (+.f64 beta (+.f64 3 (fma.f64 beta 2 5))))))))) |
(-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 beta (*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 5 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 5 (*.f64 2 beta)) 2)) (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 beta 2))) (-.f64 (+.f64 (/.f64 beta (+.f64 5 (*.f64 2 beta))) (/.f64 1 (+.f64 5 (*.f64 2 beta)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (+.f64 5 (*.f64 2 beta))))) (pow.f64 (+.f64 5 (*.f64 2 beta)) 2)))) (+.f64 5 (*.f64 2 beta)))) (pow.f64 alpha 3))) (/.f64 1 (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 beta 2)))) (*.f64 (pow.f64 (+.f64 5 (*.f64 2 beta)) 2) (pow.f64 alpha 2)))) |
(+.f64 (/.f64 beta (*.f64 alpha (+.f64 5 (*.f64 beta 2)))) (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 5 (*.f64 beta 2)) (*.f64 alpha alpha))) (+.f64 (/.f64 (/.f64 1 (+.f64 5 (*.f64 beta 2))) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 5 (*.f64 beta 2)) 2)) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 3) (+.f64 5 (*.f64 beta 2)))) (/.f64 (+.f64 5 (*.f64 beta 2)) (-.f64 (+.f64 (/.f64 1 (+.f64 5 (*.f64 beta 2))) (/.f64 beta (+.f64 5 (*.f64 beta 2)))) (/.f64 (+.f64 1 beta) (/.f64 (pow.f64 (+.f64 5 (*.f64 beta 2)) 2) (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 3) (+.f64 5 (*.f64 beta 2)))))))))) (pow.f64 alpha 3)) (/.f64 1 (*.f64 alpha (+.f64 5 (*.f64 beta 2))))))) (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 5 (*.f64 beta 2)) 2)) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 3) (+.f64 5 (*.f64 beta 2)))) (*.f64 alpha alpha))))) |
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(+.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 (-.f64 alpha (fma.f64 alpha -2 -5))))) (pow.f64 beta 3))) (-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (neg.f64 (fma.f64 (+.f64 1 alpha) (-.f64 (*.f64 (fma.f64 alpha -2 -5) (+.f64 2 alpha)) (fma.f64 5 alpha 6)) (*.f64 (+.f64 2 (-.f64 alpha (fma.f64 alpha -2 -5))) (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 (-.f64 alpha (fma.f64 alpha -2 -5)))))))) (pow.f64 beta 4)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5))))))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5))))))) (+.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -2 alpha) 5)) (*.f64 -1 (+.f64 6 (*.f64 5 alpha))))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -2 alpha) 5)) (*.f64 -1 (+.f64 6 (*.f64 5 alpha)))))) (*.f64 -1 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5)))) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5)))))))))) (pow.f64 beta 4))) (/.f64 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (+.f64 6 (*.f64 5 alpha))) (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -2 alpha) 5))))) (*.f64 -1 (*.f64 (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5)))) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -2 alpha) 5))))))))))) (pow.f64 beta 5)))))))) |
(fma.f64 -1 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 5) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)))) (+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (neg.f64 (fma.f64 -2 alpha -5))))))) (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (neg.f64 (fma.f64 -2 alpha -5))))))) (/.f64 (pow.f64 beta 5) (fma.f64 (+.f64 2 alpha) (fma.f64 -2 alpha -5) (neg.f64 (+.f64 6 (*.f64 5 alpha)))))) (+.f64 (/.f64 alpha (*.f64 beta beta)) (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 (*.f64 (+.f64 1 alpha) (fma.f64 (+.f64 2 alpha) (fma.f64 -2 alpha -5) (neg.f64 (+.f64 6 (*.f64 5 alpha))))) (*.f64 (+.f64 2 (+.f64 alpha (neg.f64 (fma.f64 -2 alpha -5)))) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (neg.f64 (fma.f64 -2 alpha -5)))))))))) (pow.f64 beta 4)) (/.f64 (*.f64 (+.f64 2 (+.f64 alpha (neg.f64 (fma.f64 -2 alpha -5)))) (*.f64 -1 (+.f64 (*.f64 (+.f64 1 alpha) (fma.f64 (+.f64 2 alpha) (fma.f64 -2 alpha -5) (neg.f64 (+.f64 6 (*.f64 5 alpha))))) (*.f64 (+.f64 2 (+.f64 alpha (neg.f64 (fma.f64 -2 alpha -5)))) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha (neg.f64 (fma.f64 -2 alpha -5))))))))))) (pow.f64 beta 5)))))))) |
(-.f64 (+.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 (-.f64 alpha (fma.f64 alpha -2 -5))))) (pow.f64 beta 3))) (-.f64 (+.f64 (/.f64 alpha (*.f64 beta beta)) (-.f64 (*.f64 (/.f64 (+.f64 2 (-.f64 alpha (fma.f64 alpha -2 -5))) (pow.f64 beta 5)) (neg.f64 (fma.f64 (+.f64 1 alpha) (-.f64 (*.f64 (fma.f64 alpha -2 -5) (+.f64 2 alpha)) (fma.f64 5 alpha 6)) (*.f64 (+.f64 2 (-.f64 alpha (fma.f64 alpha -2 -5))) (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 (-.f64 alpha (fma.f64 alpha -2 -5))))))))) (/.f64 (neg.f64 (fma.f64 (+.f64 1 alpha) (-.f64 (*.f64 (fma.f64 alpha -2 -5) (+.f64 2 alpha)) (fma.f64 5 alpha 6)) (*.f64 (+.f64 2 (-.f64 alpha (fma.f64 alpha -2 -5))) (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 (-.f64 alpha (fma.f64 alpha -2 -5)))))))) (pow.f64 beta 4)))) (*.f64 (/.f64 (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 (-.f64 alpha (fma.f64 alpha -2 -5))))) (pow.f64 beta 5)) (-.f64 (*.f64 (fma.f64 alpha -2 -5) (+.f64 2 alpha)) (fma.f64 5 alpha 6))))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 5)) (*.f64 (fma.f64 5 alpha 6) (+.f64 2 alpha)))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1/4 (+.f64 3 alpha)) |
Compiled 13 to 10 computations (23.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | alpha | @ | 0 | (/.f64 1/4 (+.f64 3 alpha)) |
| 0.0ms | alpha | @ | inf | (/.f64 1/4 (+.f64 3 alpha)) |
| 0.0ms | alpha | @ | -inf | (/.f64 1/4 (+.f64 3 alpha)) |
| 1× | batch-egg-rewrite |
| 700× | pow1_binary64 |
| 661× | add-log-exp_binary64 |
| 661× | log1p-expm1-u_binary64 |
| 661× | expm1-log1p-u_binary64 |
| 651× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 139 | 7 |
| 2 | 1733 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/4 (+.f64 3 alpha)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 1 (+.f64 3 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (+.f64 3 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/4 (+.f64 3 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (+.f64 3 alpha))) (pow.f64 (cbrt.f64 (/.f64 1/4 (+.f64 3 alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (+.f64 3 alpha))) 2) (cbrt.f64 (/.f64 1/4 (+.f64 3 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/4 (+.f64 3 alpha))) (sqrt.f64 (/.f64 1/4 (+.f64 3 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (/.f64 1 (neg.f64 (+.f64 3 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 3 alpha)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (+.f64 27 (pow.f64 alpha 3))) (+.f64 9 (*.f64 alpha (-.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (-.f64 9 (*.f64 alpha alpha))) (-.f64 3 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 (+.f64 3 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/4 (+.f64 3 alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/4 (+.f64 3 alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/4 (+.f64 3 alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 3 alpha) 4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/16 (pow.f64 (+.f64 3 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/4 (+.f64 3 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/4 (+.f64 3 alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/4 (+.f64 3 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/4 (+.f64 3 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/4 (+.f64 3 alpha)))))))) |
| 1× | egg-herbie |
| 793× | fma-def_binary64 |
| 734× | associate-*l*_binary64 |
| 500× | associate-*r*_binary64 |
| 417× | times-frac_binary64 |
| 289× | associate-/l/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 183 |
| 1 | 101 | 181 |
| 2 | 245 | 178 |
| 3 | 664 | 171 |
| 4 | 1985 | 168 |
| 5 | 7504 | 168 |
| 1× | node limit |
| Inputs |
|---|
1/12 |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(+.f64 1/12 (+.f64 (*.f64 -1/36 alpha) (*.f64 1/108 (pow.f64 alpha 2)))) |
(+.f64 1/12 (+.f64 (*.f64 -1/36 alpha) (+.f64 (*.f64 1/108 (pow.f64 alpha 2)) (*.f64 -1/324 (pow.f64 alpha 3))))) |
(/.f64 1/4 alpha) |
(-.f64 (*.f64 1/4 (/.f64 1 alpha)) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (+.f64 (*.f64 27/4 (/.f64 1 (pow.f64 alpha 4))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2))))) |
(/.f64 1/4 alpha) |
(-.f64 (*.f64 1/4 (/.f64 1 alpha)) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (+.f64 (*.f64 27/4 (/.f64 1 (pow.f64 alpha 4))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2))))) |
| Outputs |
|---|
1/12 |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(fma.f64 -1/36 alpha 1/12) |
(+.f64 1/12 (+.f64 (*.f64 -1/36 alpha) (*.f64 1/108 (pow.f64 alpha 2)))) |
(+.f64 1/12 (fma.f64 -1/36 alpha (*.f64 1/108 (*.f64 alpha alpha)))) |
(fma.f64 -1/36 alpha (fma.f64 alpha (*.f64 alpha 1/108) 1/12)) |
(fma.f64 alpha (fma.f64 alpha 1/108 -1/36) 1/12) |
(+.f64 1/12 (+.f64 (*.f64 -1/36 alpha) (+.f64 (*.f64 1/108 (pow.f64 alpha 2)) (*.f64 -1/324 (pow.f64 alpha 3))))) |
(+.f64 1/12 (fma.f64 -1/36 alpha (fma.f64 1/108 (*.f64 alpha alpha) (*.f64 -1/324 (pow.f64 alpha 3))))) |
(+.f64 1/12 (fma.f64 -1/324 (pow.f64 alpha 3) (*.f64 alpha (+.f64 -1/36 (*.f64 alpha 1/108))))) |
(fma.f64 alpha (*.f64 alpha (fma.f64 alpha -1/324 1/108)) (fma.f64 -1/36 alpha 1/12)) |
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha -1/324 1/108) -1/36) 1/12) |
(/.f64 1/4 alpha) |
(-.f64 (*.f64 1/4 (/.f64 1 alpha)) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 1/4 alpha) (/.f64 3/4 (*.f64 alpha alpha))) |
(-.f64 (/.f64 1/4 alpha) (/.f64 (/.f64 3/4 alpha) alpha)) |
(+.f64 (/.f64 1/4 alpha) (/.f64 -3/4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (-.f64 (/.f64 1/4 alpha) (/.f64 3/4 (*.f64 alpha alpha)))) |
(+.f64 (-.f64 (/.f64 1/4 alpha) (/.f64 (/.f64 3/4 alpha) alpha)) (/.f64 9/4 (pow.f64 alpha 3))) |
(+.f64 (/.f64 1/4 alpha) (-.f64 (/.f64 9/4 (pow.f64 alpha 3)) (/.f64 (/.f64 3/4 alpha) alpha))) |
(+.f64 (/.f64 1/4 alpha) (+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (/.f64 -3/4 (*.f64 alpha alpha)))) |
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (+.f64 (*.f64 27/4 (/.f64 1 (pow.f64 alpha 4))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (/.f64 1/4 alpha) (/.f64 9/4 (pow.f64 alpha 3))) (+.f64 (/.f64 3/4 (*.f64 alpha alpha)) (/.f64 27/4 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (-.f64 (-.f64 (/.f64 1/4 alpha) (/.f64 (/.f64 3/4 alpha) alpha)) (/.f64 27/4 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 1/4 alpha) (+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (+.f64 (/.f64 -3/4 (*.f64 alpha alpha)) (/.f64 -27/4 (pow.f64 alpha 4))))) |
(+.f64 (/.f64 1/4 alpha) (+.f64 (/.f64 -27/4 (pow.f64 alpha 4)) (+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (/.f64 -3/4 (*.f64 alpha alpha))))) |
(/.f64 1/4 alpha) |
(-.f64 (*.f64 1/4 (/.f64 1 alpha)) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 1/4 alpha) (/.f64 3/4 (*.f64 alpha alpha))) |
(-.f64 (/.f64 1/4 alpha) (/.f64 (/.f64 3/4 alpha) alpha)) |
(+.f64 (/.f64 1/4 alpha) (/.f64 -3/4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (-.f64 (/.f64 1/4 alpha) (/.f64 3/4 (*.f64 alpha alpha)))) |
(+.f64 (-.f64 (/.f64 1/4 alpha) (/.f64 (/.f64 3/4 alpha) alpha)) (/.f64 9/4 (pow.f64 alpha 3))) |
(+.f64 (/.f64 1/4 alpha) (-.f64 (/.f64 9/4 (pow.f64 alpha 3)) (/.f64 (/.f64 3/4 alpha) alpha))) |
(+.f64 (/.f64 1/4 alpha) (+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (/.f64 -3/4 (*.f64 alpha alpha)))) |
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (+.f64 (*.f64 27/4 (/.f64 1 (pow.f64 alpha 4))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (/.f64 1/4 alpha) (/.f64 9/4 (pow.f64 alpha 3))) (+.f64 (/.f64 3/4 (*.f64 alpha alpha)) (/.f64 27/4 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (-.f64 (-.f64 (/.f64 1/4 alpha) (/.f64 (/.f64 3/4 alpha) alpha)) (/.f64 27/4 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 1/4 alpha) (+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (+.f64 (/.f64 -3/4 (*.f64 alpha alpha)) (/.f64 -27/4 (pow.f64 alpha 4))))) |
(+.f64 (/.f64 1/4 alpha) (+.f64 (/.f64 -27/4 (pow.f64 alpha 4)) (+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (/.f64 -3/4 (*.f64 alpha alpha))))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (/.f64 alpha beta) beta) |
| ✓ | 0.7b | (/.f64 1 (*.f64 beta beta)) |
| ✓ | 5.2b | (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)) |
Compiled 32 to 11 computations (65.6% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | alpha | @ | -inf | (/.f64 (/.f64 alpha beta) beta) |
| 1.0ms | beta | @ | 0 | (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)) |
| 1.0ms | alpha | @ | 0 | (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)) |
| 1.0ms | alpha | @ | inf | (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)) |
| 1.0ms | beta | @ | inf | (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)) |
| 1× | batch-egg-rewrite |
| 515× | log-prod_binary64 |
| 408× | pow-prod-down_binary64 |
| 356× | fma-def_binary64 |
| 260× | pow2_binary64 |
| 260× | log-div_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 30 |
| 1 | 203 | 24 |
| 2 | 3271 | 22 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 (/.f64 alpha beta) beta) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 beta -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 beta -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 beta -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 beta -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 beta -2)) (cbrt.f64 (pow.f64 beta -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 beta -4)) (cbrt.f64 (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 beta (neg.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cbrt.f64 beta) beta)) (cbrt.f64 (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 beta -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 beta beta) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 beta -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 beta -4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 beta 3) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 beta 4) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 beta 6) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 beta -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 beta) -6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 beta) 2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 beta) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 beta) -4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 beta -6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 beta (neg.f64 beta))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 beta -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 beta -6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (log.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 beta)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -2 (log.f64 beta)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 beta) -2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 beta -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 beta -6)) 1/3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 alpha (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 alpha) (pow.f64 beta -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 alpha) (pow.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 alpha) (pow.f64 beta -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 alpha) (pow.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 alpha (pow.f64 beta -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 alpha (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 alpha (pow.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha beta) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 alpha (pow.f64 beta -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 alpha (pow.f64 beta -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 alpha) beta) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 alpha) beta) 4)) (cbrt.f64 (*.f64 alpha (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 beta -2)) (/.f64 (/.f64 alpha beta) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 alpha beta)) 2) (*.f64 (cbrt.f64 (/.f64 alpha beta)) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 alpha) beta) (/.f64 (sqrt.f64 alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (/.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 alpha beta)) (*.f64 (sqrt.f64 (/.f64 alpha beta)) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 1 (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cbrt.f64 beta) beta)) (/.f64 alpha (pow.f64 (cbrt.f64 beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 alpha alpha)) 1) (/.f64 (cbrt.f64 alpha) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 alpha alpha)) beta) (/.f64 (cbrt.f64 alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (/.f64 1 beta) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 alpha alpha)) (*.f64 (cbrt.f64 beta) beta)) (cbrt.f64 (*.f64 alpha (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 alpha) (*.f64 (cbrt.f64 beta) beta)) (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha 1) (pow.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 alpha beta)) 2) 1) (/.f64 (cbrt.f64 (/.f64 alpha beta)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 alpha beta)) 1) (/.f64 (sqrt.f64 (/.f64 alpha beta)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 alpha beta)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (*.f64 alpha (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 alpha beta)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (/.f64 alpha beta)) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 beta -1/2) (/.f64 (/.f64 alpha beta) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (sqrt.f64 beta)) (pow.f64 beta -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 alpha beta)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (/.f64 alpha beta)) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 alpha (pow.f64 beta -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 alpha) beta) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 alpha (pow.f64 beta -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 alpha) beta) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 alpha) beta) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 beta (/.f64 beta alpha)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 beta (/.f64 beta alpha)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 beta beta) alpha) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 alpha) (cbrt.f64 (pow.f64 beta -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 beta -6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 alpha beta) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 alpha) beta) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 alpha) (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 alpha (pow.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 alpha) beta) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 alpha (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 alpha (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 alpha (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 alpha (pow.f64 beta -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 alpha (pow.f64 beta -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 alpha) beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 alpha) beta) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 beta (/.f64 beta alpha))) -1)))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 560× | fabs-mul_binary64 |
| 560× | cube-prod_binary64 |
| 523× | pow-sqr_binary64 |
| 434× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 537 |
| 1 | 19 | 537 |
| 2 | 30 | 537 |
| 3 | 53 | 537 |
| 4 | 121 | 537 |
| 5 | 363 | 537 |
| 6 | 1350 | 537 |
| 7 | 2199 | 537 |
| 8 | 2363 | 537 |
| 9 | 2547 | 537 |
| 10 | 2755 | 537 |
| 11 | 3052 | 537 |
| 12 | 3445 | 537 |
| 13 | 3928 | 537 |
| 14 | 4496 | 537 |
| 15 | 5184 | 537 |
| 16 | 6023 | 537 |
| 17 | 6417 | 537 |
| 18 | 6707 | 537 |
| 19 | 6983 | 537 |
| 20 | 7059 | 537 |
| 21 | 7095 | 537 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 1 (pow.f64 beta 2)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(/.f64 alpha (pow.f64 beta 2)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(/.f64 alpha (pow.f64 beta 2)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (pow.f64 beta 2)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (pow.f64 beta 2)) |
| Outputs |
|---|
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2)) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (*.f64 beta beta)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) |
(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(/.f64 alpha (pow.f64 beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)) | |
| 1.6b | (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) |
Compiled 69 to 46 computations (33.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (+.f64 2 alpha)) |
| 0.0b | (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)) | |
| ✓ | 0.0b | (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 1 (+.f64 2 alpha))) |
| 1.6b | (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) |
Compiled 81 to 55 computations (32.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | beta | @ | -inf | (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 1 (+.f64 2 alpha))) |
| 4.0ms | alpha | @ | 0 | (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 1 (+.f64 2 alpha))) |
| 3.0ms | alpha | @ | -inf | (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 1 (+.f64 2 alpha))) |
| 2.0ms | beta | @ | 0 | (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 1 (+.f64 2 alpha))) |
| 2.0ms | alpha | @ | inf | (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 1 (+.f64 2 alpha))) |
| 1× | batch-egg-rewrite |
| 402× | fma-neg_binary64 |
| 356× | log1p-udef_binary64 |
| 355× | expm1-udef_binary64 |
| 209× | add-sqr-sqrt_binary64 |
| 203× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 35 |
| 1 | 400 | 35 |
| 2 | 6535 | 35 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 1 (+.f64 2 alpha))) |
(/.f64 1 (+.f64 2 alpha)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 3 beta)))) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (+.f64 alpha 2) (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 alpha 2) (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2))) (+.f64 alpha 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 alpha 1) (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha 2) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 alpha 1) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 alpha 1) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) (/.f64 1 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) (+.f64 alpha 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) 2) (/.f64 (+.f64 alpha 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) (/.f64 (+.f64 alpha 2) (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 3 beta)))) (+.f64 (neg.f64 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (+.f64 (neg.f64 alpha) -2) (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (neg.f64 alpha)) (neg.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (neg.f64 alpha)) (*.f64 (+.f64 (neg.f64 alpha) -2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (neg.f64 alpha)) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (neg.f64 (+.f64 alpha (+.f64 3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (*.f64 (+.f64 alpha 2) (+.f64 alpha (+.f64 3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) (+.f64 (neg.f64 alpha) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (neg.f64 (+.f64 alpha (+.f64 3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (neg.f64 alpha)) 1) (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (neg.f64 (+.f64 alpha (+.f64 3 beta)))) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) 1) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 alpha 1) -1) (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) (+.f64 (neg.f64 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (neg.f64 alpha)) -1) (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (neg.f64 (+.f64 alpha (+.f64 3 beta)))) (+.f64 (neg.f64 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) -1) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 (neg.f64 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 -1 (neg.f64 alpha))) (*.f64 (+.f64 (neg.f64 alpha) -2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (neg.f64 (+.f64 alpha (+.f64 3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 (neg.f64 alpha) -2) (+.f64 alpha (+.f64 3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) 1) (+.f64 alpha 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 3 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) 2))) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 1 (+.f64 alpha 2))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (neg.f64 (+.f64 alpha (+.f64 3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (+.f64 alpha 2))) (+.f64 alpha (+.f64 3 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) (+.f64 (neg.f64 alpha) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) -1) (+.f64 (neg.f64 alpha) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 -1 (neg.f64 alpha))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (neg.f64 (+.f64 alpha (+.f64 3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 3 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) 3) (pow.f64 (+.f64 alpha 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) 3) (pow.f64 (/.f64 1 (+.f64 alpha 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 alpha 2)) 3) (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 alpha 2))))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha 2))) (cbrt.f64 (pow.f64 (+.f64 alpha 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 alpha 2) -1/2) (pow.f64 (+.f64 alpha 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (neg.f64 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 alpha 2)) -1) (pow.f64 (sqrt.f64 (+.f64 alpha 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 alpha (-.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 alpha 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 alpha 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 alpha 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 alpha 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 alpha 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 alpha 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha 2))) 1)))))) |
| 1× | egg-herbie |
| 346× | distribute-rgt-in_binary64 |
| 336× | distribute-lft-in_binary64 |
| 288× | fma-def_binary64 |
| 254× | distribute-rgt-neg-in_binary64 |
| 254× | distribute-neg-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 258 | 3032 |
| 1 | 1056 | 2757 |
| 2 | 5162 | 2753 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) |
(+.f64 (*.f64 alpha (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) |
(+.f64 (*.f64 alpha (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 1/4 (/.f64 (+.f64 7 (*.f64 2 beta)) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2))))) |
(+.f64 (*.f64 alpha (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 7 (*.f64 2 beta)) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 1/4 (/.f64 (+.f64 7 (*.f64 2 beta)) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (pow.f64 alpha 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 1/4 (/.f64 (+.f64 7 (*.f64 2 beta)) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2)))))) |
(/.f64 1 (pow.f64 alpha 2)) |
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 beta)) (pow.f64 alpha 3)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 5) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 6 (*.f64 2 beta)) (+.f64 7 (*.f64 2 beta)))) (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 beta)) (pow.f64 alpha 3))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 beta)) (+.f64 (*.f64 (+.f64 beta 5) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 6 (*.f64 2 beta)) (+.f64 7 (*.f64 2 beta)))) (*.f64 2 (+.f64 beta 3)))))) (*.f64 -1 (*.f64 (+.f64 6 (*.f64 2 beta)) (+.f64 (*.f64 (+.f64 beta 5) (+.f64 beta 2)) (*.f64 2 (+.f64 beta 3))))))) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 5) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 6 (*.f64 2 beta)) (+.f64 7 (*.f64 2 beta)))) (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 beta)) (pow.f64 alpha 3)))))) |
(/.f64 1 (pow.f64 alpha 2)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)))) (*.f64 (+.f64 beta (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) 2)) (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) (+.f64 beta 2)))))) (pow.f64 alpha 4)))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 (+.f64 beta 3)) 2))) (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) (+.f64 beta 2))))) (pow.f64 alpha 5)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 5))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)))) (*.f64 (+.f64 1 (*.f64 -1 (+.f64 beta (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) 2)))) (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) (+.f64 beta 2)))) (+.f64 beta (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) 2))) (pow.f64 alpha 5)) (+.f64 (/.f64 1 (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)))) (*.f64 (+.f64 beta (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) 2)) (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) (+.f64 beta 2)))))) (pow.f64 alpha 4))))))))) |
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 3)))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 2))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 3)))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 2))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 3)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 3)))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 5 (*.f64 2 alpha))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))))))) |
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) |
(+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 beta 3) (+.f64 2 alpha)))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (+.f64 2 alpha))) (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 beta 3) (+.f64 2 alpha))))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (+.f64 2 alpha))) (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 beta 3) (+.f64 2 alpha)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 5 (*.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (+.f64 2 alpha))) (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 5 (*.f64 2 alpha)) (+.f64 3 alpha))))) (pow.f64 beta 5))))))) |
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) |
(+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) 2)) (pow.f64 (+.f64 2 alpha) 3)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2)))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) 2)) (pow.f64 (+.f64 2 alpha) 3)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) 2)) (pow.f64 (+.f64 2 alpha) 3)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 5) (+.f64 2 alpha)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 3 alpha))) (*.f64 (pow.f64 beta 5) (+.f64 2 alpha))))))))) |
1/2 |
(+.f64 1/2 (*.f64 -1/4 alpha)) |
(+.f64 (*.f64 1/8 (pow.f64 alpha 2)) (+.f64 1/2 (*.f64 -1/4 alpha))) |
(+.f64 (*.f64 1/8 (pow.f64 alpha 2)) (+.f64 1/2 (+.f64 (*.f64 -1/4 alpha) (*.f64 -1/16 (pow.f64 alpha 3))))) |
(/.f64 1 alpha) |
(-.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 4))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) |
(/.f64 1 alpha) |
(-.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 4))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) |
| Outputs |
|---|
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) |
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)) |
(+.f64 (*.f64 alpha (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) |
(fma.f64 alpha (-.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)) (/.f64 (*.f64 1/4 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 10 (*.f64 (*.f64 beta 2) 2)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))) |
(fma.f64 alpha (+.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)) (*.f64 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 10 (*.f64 beta 4))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) -1/4)) (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))) |
(+.f64 (*.f64 alpha (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 1/4 (/.f64 (+.f64 7 (*.f64 2 beta)) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2))))) |
(+.f64 (fma.f64 alpha (-.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)) (/.f64 (*.f64 1/4 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 10 (*.f64 (*.f64 beta 2) 2)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))) (neg.f64 (*.f64 (fma.f64 1/2 (*.f64 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 10 (*.f64 (*.f64 beta 2) 2))) (+.f64 beta 3)) (/.f64 (-.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2)) (/.f64 (*.f64 1/4 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 10 (*.f64 (*.f64 beta 2) 2)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 2))) (/.f64 (*.f64 1/4 (+.f64 (*.f64 beta 2) 7)) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 alpha alpha)))) |
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(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (+.f64 2 alpha))) (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 beta 3) (+.f64 2 alpha)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 5 (*.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (+.f64 2 alpha))) (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 5 (*.f64 2 alpha)) (+.f64 3 alpha))))) (pow.f64 beta 5))))))) |
(fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2))) (*.f64 (+.f64 alpha 1) (+.f64 3 alpha))) (pow.f64 beta 4)) (+.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 2 alpha)) (/.f64 (/.f64 alpha (*.f64 beta beta)) (+.f64 2 alpha))) (*.f64 -1 (+.f64 (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 5 (*.f64 2 alpha))) (*.f64 (+.f64 2 alpha) (pow.f64 beta 3))) (/.f64 (fma.f64 -1 (*.f64 (+.f64 5 (*.f64 2 alpha)) (fma.f64 -1 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2))) (*.f64 (+.f64 alpha 1) (+.f64 3 alpha)))) (neg.f64 (*.f64 (+.f64 alpha 1) (*.f64 (+.f64 3 alpha) (+.f64 5 (*.f64 2 alpha)))))) (pow.f64 beta 5)))))) |
(-.f64 (+.f64 (/.f64 (/.f64 (/.f64 1 beta) beta) (+.f64 2 alpha)) (fma.f64 -1 (fma.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (/.f64 (fma.f64 2 alpha 5) (+.f64 2 alpha)) (/.f64 (neg.f64 (fma.f64 (fma.f64 2 alpha 5) (-.f64 (*.f64 (+.f64 alpha 1) (+.f64 3 alpha)) (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 alpha) (pow.f64 (fma.f64 2 alpha 5) 2)))) (*.f64 (+.f64 3 alpha) (*.f64 (+.f64 alpha 1) (fma.f64 2 alpha 5))))) (pow.f64 beta 5))) (/.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 beta beta)))) (/.f64 (-.f64 (*.f64 (+.f64 alpha 1) (+.f64 3 alpha)) (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 alpha) (pow.f64 (fma.f64 2 alpha 5) 2)))) (pow.f64 beta 4))) |
(+.f64 (-.f64 (+.f64 (/.f64 (/.f64 (/.f64 1 beta) beta) (+.f64 2 alpha)) (-.f64 (/.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 beta beta)) (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (pow.f64 beta 3))) (fma.f64 2 alpha 5)))) (/.f64 (-.f64 (*.f64 (+.f64 alpha 1) (+.f64 3 alpha)) (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 alpha) (pow.f64 (fma.f64 2 alpha 5) 2)))) (pow.f64 beta 4))) (/.f64 (fma.f64 (fma.f64 2 alpha 5) (-.f64 (*.f64 (+.f64 alpha 1) (+.f64 3 alpha)) (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 alpha) (pow.f64 (fma.f64 2 alpha 5) 2)))) (*.f64 (+.f64 3 alpha) (*.f64 (+.f64 alpha 1) (fma.f64 2 alpha 5)))) (pow.f64 beta 5))) |
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) |
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (*.f64 beta beta))) |
(/.f64 (+.f64 alpha 1) (*.f64 beta (*.f64 beta (+.f64 2 alpha)))) |
(+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2))))) |
(+.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 2 alpha)) (/.f64 (/.f64 alpha (*.f64 beta beta)) (+.f64 2 alpha))) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (/.f64 (*.f64 -1 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (+.f64 2 alpha) 2)))) |
(+.f64 (/.f64 (/.f64 (/.f64 1 beta) beta) (+.f64 2 alpha)) (fma.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (/.f64 (neg.f64 (*.f64 (+.f64 2 alpha) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 beta beta)))) |
(+.f64 (/.f64 (/.f64 (/.f64 1 beta) beta) (+.f64 2 alpha)) (fma.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (/.f64 (*.f64 (+.f64 -2 (neg.f64 alpha)) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 beta beta)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) 2)) (pow.f64 (+.f64 2 alpha) 3)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2)))))) |
(fma.f64 -1 (/.f64 (fma.f64 (+.f64 alpha 1) (+.f64 3 alpha) (neg.f64 (/.f64 (+.f64 alpha 1) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (*.f64 -1 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (pow.f64 (+.f64 2 alpha) 2))) 2))))) (pow.f64 beta 4)) (+.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 2 alpha)) (/.f64 (/.f64 alpha (*.f64 beta beta)) (+.f64 2 alpha))) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (/.f64 (*.f64 -1 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (+.f64 2 alpha) 2))))) |
(-.f64 (+.f64 (/.f64 (/.f64 (/.f64 1 beta) beta) (+.f64 2 alpha)) (fma.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (/.f64 (neg.f64 (*.f64 (+.f64 2 alpha) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 beta beta)))) (/.f64 (-.f64 (*.f64 (+.f64 alpha 1) (+.f64 3 alpha)) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (neg.f64 (*.f64 (+.f64 2 alpha) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha)))) 2))) (pow.f64 beta 4))) |
(+.f64 (fma.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (/.f64 (*.f64 (+.f64 -2 (neg.f64 alpha)) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 beta beta))) (-.f64 (/.f64 (/.f64 (/.f64 1 beta) beta) (+.f64 2 alpha)) (/.f64 (-.f64 (*.f64 (+.f64 alpha 1) (+.f64 3 alpha)) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 (+.f64 -2 (neg.f64 alpha)) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha))) 2))) (pow.f64 beta 4)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) 2)) (pow.f64 (+.f64 2 alpha) 3)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) 2)) (pow.f64 (+.f64 2 alpha) 3)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 5) (+.f64 2 alpha)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 3 alpha))) (*.f64 (pow.f64 beta 5) (+.f64 2 alpha))))))))) |
(fma.f64 -1 (/.f64 (fma.f64 (+.f64 alpha 1) (+.f64 3 alpha) (neg.f64 (/.f64 (+.f64 alpha 1) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (*.f64 -1 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (pow.f64 (+.f64 2 alpha) 2))) 2))))) (pow.f64 beta 4)) (+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 2 alpha)) (fma.f64 -1 (*.f64 (/.f64 (fma.f64 (+.f64 alpha 1) (+.f64 3 alpha) (neg.f64 (/.f64 (+.f64 alpha 1) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (*.f64 -1 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (pow.f64 (+.f64 2 alpha) 2))) 2))))) (pow.f64 beta 5)) (/.f64 (*.f64 -1 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha))) (+.f64 (+.f64 (/.f64 (/.f64 alpha (*.f64 beta beta)) (+.f64 2 alpha)) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (/.f64 (*.f64 -1 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (+.f64 2 alpha) 2)))) (neg.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 5)) (/.f64 (*.f64 (+.f64 3 alpha) (*.f64 -1 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha)))))))) |
(-.f64 (+.f64 (/.f64 (/.f64 (/.f64 1 beta) beta) (+.f64 2 alpha)) (-.f64 (-.f64 (fma.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (/.f64 (neg.f64 (*.f64 (+.f64 2 alpha) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 beta beta))) (*.f64 (/.f64 (*.f64 (neg.f64 (+.f64 alpha 1)) (*.f64 (+.f64 2 alpha) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha)) (/.f64 (+.f64 3 alpha) (pow.f64 beta 5)))) (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 alpha 1) (+.f64 3 alpha)) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (neg.f64 (*.f64 (+.f64 2 alpha) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha)))) 2))) (pow.f64 beta 5)) (/.f64 (neg.f64 (*.f64 (+.f64 2 alpha) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha))))) (/.f64 (-.f64 (*.f64 (+.f64 alpha 1) (+.f64 3 alpha)) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (neg.f64 (*.f64 (+.f64 2 alpha) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha)))) 2))) (pow.f64 beta 4))) |
(+.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (/.f64 (*.f64 (+.f64 -2 (neg.f64 alpha)) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 beta beta))) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 beta 5)) (/.f64 (+.f64 3 alpha) (/.f64 (+.f64 2 alpha) (*.f64 (+.f64 -2 (neg.f64 alpha)) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha))))))) (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 alpha 1) (+.f64 3 alpha)) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 (+.f64 -2 (neg.f64 alpha)) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha))) 2))) (pow.f64 beta 5)) (/.f64 (*.f64 (+.f64 -2 (neg.f64 alpha)) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha))) (+.f64 2 alpha)))) (-.f64 (/.f64 (/.f64 (/.f64 1 beta) beta) (+.f64 2 alpha)) (/.f64 (-.f64 (*.f64 (+.f64 alpha 1) (+.f64 3 alpha)) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 (*.f64 (+.f64 -2 (neg.f64 alpha)) (+.f64 (+.f64 3 alpha) (+.f64 2 alpha))) 2))) (pow.f64 beta 4)))) |
1/2 |
(+.f64 1/2 (*.f64 -1/4 alpha)) |
(+.f64 1/2 (*.f64 alpha -1/4)) |
(fma.f64 alpha -1/4 1/2) |
(+.f64 (*.f64 1/8 (pow.f64 alpha 2)) (+.f64 1/2 (*.f64 -1/4 alpha))) |
(fma.f64 1/8 (*.f64 alpha alpha) (+.f64 1/2 (*.f64 alpha -1/4))) |
(fma.f64 (*.f64 alpha alpha) 1/8 (fma.f64 alpha -1/4 1/2)) |
(+.f64 (*.f64 1/8 (pow.f64 alpha 2)) (+.f64 1/2 (+.f64 (*.f64 -1/4 alpha) (*.f64 -1/16 (pow.f64 alpha 3))))) |
(fma.f64 1/8 (*.f64 alpha alpha) (+.f64 1/2 (fma.f64 -1/4 alpha (*.f64 (pow.f64 alpha 3) -1/16)))) |
(+.f64 (fma.f64 (*.f64 alpha alpha) 1/8 (fma.f64 alpha -1/4 1/2)) (*.f64 (pow.f64 alpha 3) -1/16)) |
(/.f64 1 alpha) |
(-.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 1 alpha) (/.f64 2 (*.f64 alpha alpha))) |
(+.f64 (/.f64 1 alpha) (/.f64 -2 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 4 (pow.f64 alpha 3)) (-.f64 (/.f64 1 alpha) (/.f64 2 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 4))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) |
(+.f64 (/.f64 4 (pow.f64 alpha 3)) (-.f64 (/.f64 1 alpha) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (/.f64 8 (pow.f64 alpha 4))))) |
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (/.f64 8 (pow.f64 alpha 4))))) |
(+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (+.f64 (/.f64 1 alpha) (/.f64 -2 (*.f64 alpha alpha))) (/.f64 -8 (pow.f64 alpha 4)))) |
(/.f64 1 alpha) |
(-.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 1 alpha) (/.f64 2 (*.f64 alpha alpha))) |
(+.f64 (/.f64 1 alpha) (/.f64 -2 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 4 (pow.f64 alpha 3)) (-.f64 (/.f64 1 alpha) (/.f64 2 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 4))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) |
(+.f64 (/.f64 4 (pow.f64 alpha 3)) (-.f64 (/.f64 1 alpha) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (/.f64 8 (pow.f64 alpha 4))))) |
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (/.f64 8 (pow.f64 alpha 4))))) |
(+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (+.f64 (/.f64 1 alpha) (/.f64 -2 (*.f64 alpha alpha))) (/.f64 -8 (pow.f64 alpha 4)))) |
Compiled 38601 to 28507 computations (26.1% saved)
27 alts after pruning (23 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 949 | 13 | 962 |
| Fresh | 4 | 10 | 14 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 4 | 6 |
| Total | 956 | 27 | 983 |
| Status | Error | Program |
|---|---|---|
| 28.4b | (*.f64 (pow.f64 beta -2) (+.f64 1 alpha)) | |
| 34.4b | (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (+.f64 2 alpha))) | |
| ▶ | 2.9b | (/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
| 3.1b | (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) | |
| 37.4b | (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta))) | |
| 29.1b | (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) | |
| 34.1b | (/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) | |
| 25.6b | (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1) | |
| 35.8b | (+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta)) | |
| ✓ | 9.9b | (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))) |
| ▶ | 34.7b | (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) |
| 25.0b | (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) 1) | |
| ✓ | 35.4b | (/.f64 1/4 (+.f64 3 alpha)) |
| ✓ | 29.0b | (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
| 35.5b | (+.f64 1/12 (*.f64 -1/36 alpha)) | |
| 28.1b | (+.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (*.f64 beta (/.f64 beta alpha)) -1)) | |
| ▶ | 62.4b | (/.f64 1/4 alpha) |
| 24.6b | (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1) | |
| 35.5b | (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 6 (*.f64 5 alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) | |
| 27.6b | (*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)) | |
| ✓ | 28.1b | (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)) |
| 35.8b | 1/12 | |
| ▶ | 33.1b | (-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1) |
| ▶ | 2.6b | (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
| 30.0b | (/.f64 1 (*.f64 beta beta)) | |
| 29.4b | (+.f64 (/.f64 1 (*.f64 beta beta)) (*.f64 (/.f64 (cbrt.f64 (*.f64 alpha alpha)) beta) (/.f64 (cbrt.f64 alpha) beta))) | |
| 42.0b | (/.f64 (/.f64 alpha beta) beta) |
Compiled 747 to 572 computations (23.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (+.f64 beta 2)) |
| ✓ | 0.0b | (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
| 0.0b | (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) | |
| ✓ | 0.1b | (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) |
Compiled 66 to 47 computations (28.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | beta | @ | 0 | (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
| 2.0ms | alpha | @ | 0 | (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
| 2.0ms | beta | @ | -inf | (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
| 2.0ms | beta | @ | inf | (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
| 2.0ms | beta | @ | 0 | (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) |
| 1× | batch-egg-rewrite |
| 830× | prod-diff_binary64 |
| 311× | expm1-udef_binary64 |
| 311× | log1p-udef_binary64 |
| 182× | add-sqr-sqrt_binary64 |
| 176× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 48 |
| 1 | 371 | 45 |
| 2 | 5654 | 45 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) |
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(/.f64 1 (+.f64 beta 2)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 beta 2))) (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta 2) -1/2) (pow.f64 (+.f64 beta 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 beta 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 beta 2)) -1) (pow.f64 (sqrt.f64 (+.f64 beta 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 beta beta -4)) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (*.f64 beta beta))) (-.f64 2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 beta 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 beta 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 beta 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 beta 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 beta 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 beta 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 beta 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta 2))) 1)))))) |
| 1× | egg-herbie |
| 623× | associate-*l*_binary64 |
| 622× | associate-*r*_binary64 |
| 343× | associate-/r*_binary64 |
| 251× | associate-*l/_binary64 |
| 245× | times-frac_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 219 | 2279 |
| 1 | 738 | 2227 |
| 2 | 2914 | 2100 |
| 1× | node limit |
| Inputs |
|---|
1/6 |
(+.f64 (*.f64 -5/36 beta) 1/6) |
(+.f64 (*.f64 -5/36 beta) (+.f64 1/6 (*.f64 19/216 (pow.f64 beta 2)))) |
(+.f64 (*.f64 -5/36 beta) (+.f64 1/6 (+.f64 (*.f64 -65/1296 (pow.f64 beta 3)) (*.f64 19/216 (pow.f64 beta 2))))) |
(/.f64 1 (pow.f64 beta 2)) |
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (*.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))) |
(/.f64 1 (pow.f64 beta 2)) |
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (*.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))) |
(/.f64 1/6 (+.f64 2 alpha)) |
(+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 7 alpha)) (+.f64 2 alpha))) (+.f64 (*.f64 1/36 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))))) |
(/.f64 1 (pow.f64 beta 2)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3)))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4))))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 6 (+.f64 2 alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (+.f64 7 alpha))))) (pow.f64 beta 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4)))))) |
(/.f64 1 (pow.f64 beta 2)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 3)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha)) (*.f64 -1 (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 3))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha)) (*.f64 -1 (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6))) (pow.f64 beta 4))) (+.f64 (*.f64 -6 (/.f64 (+.f64 2 alpha) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 7 alpha))) (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6)) (pow.f64 beta 5)) (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 7 alpha) (+.f64 1 (*.f64 -1 (+.f64 7 alpha)))) (*.f64 -1 (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6))) (+.f64 7 alpha)) (pow.f64 beta 5)))))))) |
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) |
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))) |
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5)))) (pow.f64 alpha 3))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))))) |
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3)))))) |
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3)))))) |
1/2 |
(+.f64 (*.f64 -1/4 beta) 1/2) |
(+.f64 (*.f64 -1/4 beta) (+.f64 1/2 (*.f64 1/8 (pow.f64 beta 2)))) |
(+.f64 (*.f64 -1/4 beta) (+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 beta 2)) (*.f64 -1/16 (pow.f64 beta 3))))) |
(/.f64 1 beta) |
(-.f64 (/.f64 1 beta) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 4))) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))) |
(/.f64 1 beta) |
(-.f64 (/.f64 1 beta) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 4))) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))) |
| Outputs |
|---|
1/6 |
(+.f64 (*.f64 -5/36 beta) 1/6) |
(fma.f64 -5/36 beta 1/6) |
(+.f64 (*.f64 -5/36 beta) (+.f64 1/6 (*.f64 19/216 (pow.f64 beta 2)))) |
(+.f64 (fma.f64 -5/36 beta 1/6) (*.f64 19/216 (*.f64 beta beta))) |
(fma.f64 -5/36 beta (fma.f64 19/216 (*.f64 beta beta) 1/6)) |
(+.f64 (*.f64 -5/36 beta) (+.f64 1/6 (+.f64 (*.f64 -65/1296 (pow.f64 beta 3)) (*.f64 19/216 (pow.f64 beta 2))))) |
(+.f64 (fma.f64 -5/36 beta 1/6) (fma.f64 -65/1296 (pow.f64 beta 3) (*.f64 19/216 (*.f64 beta beta)))) |
(+.f64 (fma.f64 -5/36 beta 1/6) (fma.f64 19/216 (*.f64 beta beta) (*.f64 -65/1296 (pow.f64 beta 3)))) |
(+.f64 (fma.f64 -5/36 beta 1/6) (*.f64 (*.f64 beta beta) (+.f64 19/216 (*.f64 beta -65/1296)))) |
(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (*.f64 beta beta)) |
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))) |
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 5 (pow.f64 beta 3))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -5 (pow.f64 beta 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 5 (pow.f64 beta 3)))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 -5 (pow.f64 beta 3)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (*.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 19 (pow.f64 beta 4))) (+.f64 (/.f64 5 (pow.f64 beta 3)) (/.f64 65 (pow.f64 beta 5)))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 65 (pow.f64 beta 5)))) (/.f64 -5 (pow.f64 beta 3))) |
(+.f64 (/.f64 -5 (pow.f64 beta 3)) (+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 65 (pow.f64 beta 5))))) |
(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (*.f64 beta beta)) |
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))) |
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 5 (pow.f64 beta 3))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -5 (pow.f64 beta 3))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 5 (pow.f64 beta 3)))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 -5 (pow.f64 beta 3)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (*.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 19 (pow.f64 beta 4))) (+.f64 (/.f64 5 (pow.f64 beta 3)) (/.f64 65 (pow.f64 beta 5)))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 65 (pow.f64 beta 5)))) (/.f64 -5 (pow.f64 beta 3))) |
(+.f64 (/.f64 -5 (pow.f64 beta 3)) (+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 65 (pow.f64 beta 5))))) |
(/.f64 1/6 (+.f64 2 alpha)) |
(+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))) |
(fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha))) |
(fma.f64 beta (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 1/36 (/.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 3 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha))) |
(fma.f64 beta (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (+.f64 (*.f64 (+.f64 4 alpha) 1/12) (*.f64 (+.f64 2 alpha) 1/18)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1/6 (+.f64 2 alpha))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))) |
(fma.f64 -1 (*.f64 (*.f64 beta beta) (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))))) (*.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2))))) (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha)))) |
(-.f64 (fma.f64 beta (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 1/36 (/.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 3 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha))) (*.f64 beta (*.f64 beta (fma.f64 1/6 (*.f64 (/.f64 (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 1/36 (/.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 3 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha)) (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 3 alpha)))) (/.f64 (+.f64 7/36 (*.f64 1/36 alpha)) (pow.f64 (+.f64 2 alpha) 2)))))) |
(-.f64 (fma.f64 beta (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (+.f64 (*.f64 (+.f64 4 alpha) 1/12) (*.f64 (+.f64 2 alpha) 1/18)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1/6 (+.f64 2 alpha))) (*.f64 beta (*.f64 beta (fma.f64 1/6 (*.f64 (/.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 3 alpha))) (+.f64 2 alpha)) (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (+.f64 (*.f64 (+.f64 4 alpha) 1/12) (*.f64 (+.f64 2 alpha) 1/18)) (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (/.f64 1/36 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 alpha 7)))))) |
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(+.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (-.f64 (/.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 3))) (/.f64 (+.f64 beta 2) (*.f64 alpha alpha))) (*.f64 alpha (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 3)))))) |
(+.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (-.f64 (/.f64 alpha (/.f64 (+.f64 beta 2) (+.f64 (/.f64 (*.f64 beta alpha) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 alpha (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))))) (+.f64 (/.f64 (*.f64 beta alpha) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 alpha (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))))) |
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5)))) (pow.f64 alpha 3))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))))) |
(+.f64 (/.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (/.f64 (+.f64 beta 2) (*.f64 alpha alpha))) (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5)))) (pow.f64 alpha 3)) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)))))) |
(+.f64 (/.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 3))) (/.f64 (+.f64 beta 2) (*.f64 alpha alpha))) (+.f64 (-.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 5)) (+.f64 beta 3)) (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 5))) (pow.f64 alpha 3))) (fma.f64 (neg.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 3)))) alpha (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))))) |
(+.f64 (/.f64 alpha (/.f64 (+.f64 beta 2) (+.f64 (/.f64 (*.f64 beta alpha) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 alpha (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))))) (+.f64 (-.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5)))) (pow.f64 alpha 3))) (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 (*.f64 beta alpha) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 alpha (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))))) |
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) |
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))) |
(/.f64 (+.f64 beta 1) (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) |
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 alpha (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))))) |
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))) (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (/.f64 beta (*.f64 alpha (+.f64 beta 2))) (+.f64 beta 3))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha))) |
(+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 beta (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3))))) |
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2)))))) |
(+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (/.f64 beta (*.f64 alpha (+.f64 beta 2))) (+.f64 beta 3))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2)))) |
(+.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 alpha (+.f64 beta 2))) (/.f64 beta (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha)) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3)))))) |
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))))))) |
(+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (/.f64 beta (*.f64 alpha (+.f64 beta 2))) (+.f64 beta 3))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha))) (-.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 2)))) |
(+.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 beta (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha)) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1))) |
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) |
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))) |
(/.f64 (+.f64 beta 1) (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) |
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 alpha (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))))) |
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))) (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (/.f64 beta (*.f64 alpha (+.f64 beta 2))) (+.f64 beta 3))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha))) |
(+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 beta (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3))))) |
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2)))))) |
(+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (/.f64 beta (*.f64 alpha (+.f64 beta 2))) (+.f64 beta 3))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2)))) |
(+.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 alpha (+.f64 beta 2))) (/.f64 beta (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha)) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3)))))) |
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))))))) |
(+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (/.f64 beta (*.f64 alpha (+.f64 beta 2))) (+.f64 beta 3))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha))) (-.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 2)))) |
(+.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 beta (*.f64 alpha (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha)) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1))) |
1/2 |
(+.f64 (*.f64 -1/4 beta) 1/2) |
(fma.f64 -1/4 beta 1/2) |
(fma.f64 beta -1/4 1/2) |
(+.f64 (*.f64 -1/4 beta) (+.f64 1/2 (*.f64 1/8 (pow.f64 beta 2)))) |
(+.f64 (fma.f64 -1/4 beta 1/2) (*.f64 (*.f64 beta beta) 1/8)) |
(fma.f64 beta -1/4 (fma.f64 (*.f64 beta beta) 1/8 1/2)) |
(+.f64 (*.f64 -1/4 beta) (+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 beta 2)) (*.f64 -1/16 (pow.f64 beta 3))))) |
(+.f64 (fma.f64 -1/4 beta 1/2) (fma.f64 1/8 (*.f64 beta beta) (*.f64 (pow.f64 beta 3) -1/16))) |
(+.f64 (fma.f64 beta -1/4 1/2) (fma.f64 (*.f64 beta beta) 1/8 (*.f64 (pow.f64 beta 3) -1/16))) |
(+.f64 (fma.f64 beta -1/4 1/2) (*.f64 (*.f64 beta beta) (+.f64 1/8 (*.f64 -1/16 beta)))) |
(/.f64 1 beta) |
(-.f64 (/.f64 1 beta) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) |
(-.f64 (/.f64 1 beta) (/.f64 2 (*.f64 beta beta))) |
(+.f64 (/.f64 1 beta) (/.f64 -2 (*.f64 beta beta))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) |
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 4 (pow.f64 beta 3)) (/.f64 2 (*.f64 beta beta)))) |
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 4 (pow.f64 beta 3)) (/.f64 -2 (*.f64 beta beta)))) |
(+.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (/.f64 -2 (*.f64 beta beta)))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 4))) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))) |
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 4 (pow.f64 beta 3))) (+.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 8 (pow.f64 beta 4)))) |
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 8 (pow.f64 beta 4))))) |
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 -2 (*.f64 beta beta)) (/.f64 -8 (pow.f64 beta 4))))) |
(/.f64 1 beta) |
(-.f64 (/.f64 1 beta) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) |
(-.f64 (/.f64 1 beta) (/.f64 2 (*.f64 beta beta))) |
(+.f64 (/.f64 1 beta) (/.f64 -2 (*.f64 beta beta))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) |
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 4 (pow.f64 beta 3)) (/.f64 2 (*.f64 beta beta)))) |
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 4 (pow.f64 beta 3)) (/.f64 -2 (*.f64 beta beta)))) |
(+.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (/.f64 -2 (*.f64 beta beta)))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 4))) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))) |
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 4 (pow.f64 beta 3))) (+.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 8 (pow.f64 beta 4)))) |
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 8 (pow.f64 beta 4))))) |
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 -2 (*.f64 beta beta)) (/.f64 -8 (pow.f64 beta 4))))) |
Compiled 7 to 5 computations (28.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 1/4 (+.f64 3 alpha)) | |
| ✓ | 3.6b | (-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1) |
Compiled 30 to 25 computations (16.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1) |
| 1.0ms | alpha | @ | inf | (-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1) |
| 1.0ms | alpha | @ | -inf | (-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1) |
| 1× | batch-egg-rewrite |
| 565× | unpow-prod-down_binary64 |
| 381× | prod-diff_binary64 |
| 379× | fma-def_binary64 |
| 366× | log-prod_binary64 |
| 239× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 13 |
| 1 | 214 | 7 |
| 2 | 2943 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 (+.f64 3 alpha)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/4 (+.f64 3 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (+.f64 3 alpha)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (+.f64 3 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/4 (+.f64 3 alpha))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/4 (+.f64 3 alpha))))))))) (#(struct:change #<rule 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(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 2) (+.f64 (/.f64 1/4 (+.f64 3 alpha)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1/4 (+.f64 3 alpha)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1/4 (+.f64 3 alpha)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (+.f64 3 alpha) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (+.f64 3 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (neg.f64 (+.f64 (neg.f64 alpha) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/4 (+.f64 (neg.f64 alpha) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1/4 (+.f64 3 alpha))))) (+.f64 (pow.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 2) (+.f64 (/.f64 1/4 (+.f64 3 alpha)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1/4 (+.f64 3 alpha))))) (+.f64 (pow.f64 (+.f64 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(/.f64 1/4 (+.f64 3 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 1/4 (+.f64 3 alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/4 (+.f64 3 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/4 (+.f64 3 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/4 (+.f64 3 alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/4 (+.f64 3 alpha)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/4 (/.f64 1 (+.f64 3 alpha)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/4 (+.f64 3 alpha)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x 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((x fma.f64 (-.f64 1 (/.f64 1/16 (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (-.f64 1 (/.f64 1/4 (+.f64 3 alpha)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1)) 2) (cbrt.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1)) (sqrt.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 1/4 (+.f64 3 alpha))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1/2 (sqrt.f64 (+.f64 3 alpha))) 1) (-.f64 (/.f64 1/2 (sqrt.f64 (+.f64 3 alpha))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/4 (+.f64 27 (pow.f64 alpha 3))) (fma.f64 alpha (-.f64 alpha 3) 9) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/4 (-.f64 9 (*.f64 alpha alpha))) (-.f64 3 alpha) 0))))) |
| 1× | egg-herbie |
| 793× | fma-def_binary64 |
| 734× | associate-*l*_binary64 |
| 500× | associate-*r*_binary64 |
| 417× | times-frac_binary64 |
| 289× | associate-/l/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 183 |
| 1 | 101 | 181 |
| 2 | 245 | 178 |
| 3 | 664 | 171 |
| 4 | 1985 | 168 |
| 5 | 7504 | 168 |
| 1× | node limit |
| Inputs |
|---|
1/12 |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(+.f64 1/12 (+.f64 (*.f64 -1/36 alpha) (*.f64 1/108 (pow.f64 alpha 2)))) |
(+.f64 1/12 (+.f64 (*.f64 -1/36 alpha) (+.f64 (*.f64 1/108 (pow.f64 alpha 2)) (*.f64 -1/324 (pow.f64 alpha 3))))) |
(/.f64 1/4 alpha) |
(-.f64 (*.f64 1/4 (/.f64 1 alpha)) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (+.f64 (*.f64 27/4 (/.f64 1 (pow.f64 alpha 4))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2))))) |
(/.f64 1/4 alpha) |
(-.f64 (*.f64 1/4 (/.f64 1 alpha)) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (+.f64 (*.f64 27/4 (/.f64 1 (pow.f64 alpha 4))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2))))) |
| Outputs |
|---|
1/12 |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(fma.f64 -1/36 alpha 1/12) |
(+.f64 1/12 (+.f64 (*.f64 -1/36 alpha) (*.f64 1/108 (pow.f64 alpha 2)))) |
(+.f64 1/12 (fma.f64 -1/36 alpha (*.f64 1/108 (*.f64 alpha alpha)))) |
(fma.f64 -1/36 alpha (fma.f64 alpha (*.f64 alpha 1/108) 1/12)) |
(fma.f64 alpha (fma.f64 alpha 1/108 -1/36) 1/12) |
(+.f64 1/12 (+.f64 (*.f64 -1/36 alpha) (+.f64 (*.f64 1/108 (pow.f64 alpha 2)) (*.f64 -1/324 (pow.f64 alpha 3))))) |
(+.f64 1/12 (fma.f64 -1/36 alpha (fma.f64 1/108 (*.f64 alpha alpha) (*.f64 -1/324 (pow.f64 alpha 3))))) |
(+.f64 1/12 (fma.f64 -1/324 (pow.f64 alpha 3) (*.f64 alpha (+.f64 -1/36 (*.f64 alpha 1/108))))) |
(fma.f64 alpha (*.f64 alpha (fma.f64 alpha -1/324 1/108)) (fma.f64 -1/36 alpha 1/12)) |
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha -1/324 1/108) -1/36) 1/12) |
(/.f64 1/4 alpha) |
(-.f64 (*.f64 1/4 (/.f64 1 alpha)) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 1/4 alpha) (/.f64 3/4 (*.f64 alpha alpha))) |
(-.f64 (/.f64 1/4 alpha) (/.f64 (/.f64 3/4 alpha) alpha)) |
(+.f64 (/.f64 1/4 alpha) (/.f64 -3/4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (-.f64 (/.f64 1/4 alpha) (/.f64 3/4 (*.f64 alpha alpha)))) |
(+.f64 (-.f64 (/.f64 1/4 alpha) (/.f64 (/.f64 3/4 alpha) alpha)) (/.f64 9/4 (pow.f64 alpha 3))) |
(+.f64 (/.f64 1/4 alpha) (-.f64 (/.f64 9/4 (pow.f64 alpha 3)) (/.f64 (/.f64 3/4 alpha) alpha))) |
(+.f64 (/.f64 1/4 alpha) (+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (/.f64 -3/4 (*.f64 alpha alpha)))) |
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (+.f64 (*.f64 27/4 (/.f64 1 (pow.f64 alpha 4))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (/.f64 1/4 alpha) (/.f64 9/4 (pow.f64 alpha 3))) (+.f64 (/.f64 3/4 (*.f64 alpha alpha)) (/.f64 27/4 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (-.f64 (-.f64 (/.f64 1/4 alpha) (/.f64 (/.f64 3/4 alpha) alpha)) (/.f64 27/4 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 1/4 alpha) (+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (+.f64 (/.f64 -3/4 (*.f64 alpha alpha)) (/.f64 -27/4 (pow.f64 alpha 4))))) |
(+.f64 (/.f64 1/4 alpha) (+.f64 (/.f64 -27/4 (pow.f64 alpha 4)) (+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (/.f64 -3/4 (*.f64 alpha alpha))))) |
(/.f64 1/4 alpha) |
(-.f64 (*.f64 1/4 (/.f64 1 alpha)) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 1/4 alpha) (/.f64 3/4 (*.f64 alpha alpha))) |
(-.f64 (/.f64 1/4 alpha) (/.f64 (/.f64 3/4 alpha) alpha)) |
(+.f64 (/.f64 1/4 alpha) (/.f64 -3/4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (-.f64 (/.f64 1/4 alpha) (/.f64 3/4 (*.f64 alpha alpha)))) |
(+.f64 (-.f64 (/.f64 1/4 alpha) (/.f64 (/.f64 3/4 alpha) alpha)) (/.f64 9/4 (pow.f64 alpha 3))) |
(+.f64 (/.f64 1/4 alpha) (-.f64 (/.f64 9/4 (pow.f64 alpha 3)) (/.f64 (/.f64 3/4 alpha) alpha))) |
(+.f64 (/.f64 1/4 alpha) (+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (/.f64 -3/4 (*.f64 alpha alpha)))) |
(-.f64 (+.f64 (*.f64 9/4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/4 (/.f64 1 alpha))) (+.f64 (*.f64 27/4 (/.f64 1 (pow.f64 alpha 4))) (*.f64 3/4 (/.f64 1 (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (/.f64 1/4 alpha) (/.f64 9/4 (pow.f64 alpha 3))) (+.f64 (/.f64 3/4 (*.f64 alpha alpha)) (/.f64 27/4 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (-.f64 (-.f64 (/.f64 1/4 alpha) (/.f64 (/.f64 3/4 alpha) alpha)) (/.f64 27/4 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 1/4 alpha) (+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (+.f64 (/.f64 -3/4 (*.f64 alpha alpha)) (/.f64 -27/4 (pow.f64 alpha 4))))) |
(+.f64 (/.f64 1/4 alpha) (+.f64 (/.f64 -27/4 (pow.f64 alpha 4)) (+.f64 (/.f64 9/4 (pow.f64 alpha 3)) (/.f64 -3/4 (*.f64 alpha alpha))))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)) |
| ✓ | 1.2b | (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) |
Compiled 43 to 33 computations (23.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | inf | (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) |
| 1.0ms | alpha | @ | -inf | (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) |
| 1.0ms | alpha | @ | 0 | (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) |
| 1.0ms | alpha | @ | inf | (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)) |
| 1.0ms | alpha | @ | 0 | (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)) |
| 1× | batch-egg-rewrite |
| 631× | log-prod_binary64 |
| 414× | prod-diff_binary64 |
| 336× | fma-def_binary64 |
| 238× | expm1-udef_binary64 |
| 238× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 32 |
| 1 | 278 | 28 |
| 2 | 3972 | 28 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) |
(*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha)) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha 5 6)) (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (fma.f64 alpha 5 6) (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (fma.f64 alpha 5 6) (+.f64 alpha 2)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 alpha 5 6) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 alpha 5) 2 12) (*.f64 alpha (fma.f64 alpha 5 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 alpha (fma.f64 alpha 5 6)) (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (*.f64 alpha 5) 2 12) 1) (*.f64 (*.f64 alpha (fma.f64 alpha 5 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 6 (+.f64 alpha 2)) (*.f64 (*.f64 alpha 5) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 alpha 5) (+.f64 alpha 2)) (*.f64 6 (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha 2) 6) (*.f64 (+.f64 alpha 2) (*.f64 alpha 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha 2) (*.f64 alpha 5)) (*.f64 (+.f64 alpha 2) 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 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(*.f64 25 (*.f64 alpha alpha))) (+.f64 alpha 2)) (+.f64 6 (*.f64 -5 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 alpha 3)) (fma.f64 alpha 5 6)) (fma.f64 alpha (-.f64 alpha 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 alpha alpha)) (fma.f64 alpha 5 6)) (-.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 alpha 5 6) (+.f64 8 (pow.f64 alpha 3))) (fma.f64 alpha (-.f64 alpha 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 alpha 5 6) (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 alpha 2) (fma.f64 125 (pow.f64 alpha 3) 216)) (fma.f64 (*.f64 alpha 5) (fma.f64 alpha 5 -6) 36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 alpha 2) (-.f64 36 (*.f64 25 (*.f64 alpha alpha)))) (+.f64 6 (*.f64 -5 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 alpha 5 6) (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 alpha 5 6) (+.f64 alpha 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 alpha 5 6) (+.f64 alpha 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 alpha 5 6) (+.f64 alpha 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 alpha 5 6) (+.f64 alpha 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 alpha 2)) (fma.f64 alpha 5 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 alpha 5 6) (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 alpha (fma.f64 alpha 5 6))) (exp.f64 (fma.f64 (*.f64 alpha 5) 2 12))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 alpha 5 6) (+.f64 alpha 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 alpha 5 6) 3) (pow.f64 (+.f64 alpha 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (fma.f64 alpha 5 6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 alpha 5 6) (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 alpha 5 6) (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 alpha 5 6) (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 alpha 5 6) (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (*.f64 alpha 5) 2 12) (*.f64 alpha (fma.f64 alpha 5 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 alpha (fma.f64 alpha 5 6)) (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha (fma.f64 alpha 5 6) (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 (+.f64 alpha 2) (*.f64 (*.f64 alpha 5) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 alpha 5) (+.f64 alpha 2) (*.f64 6 (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 alpha 5 6) alpha (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 alpha 5 6) 2 (*.f64 alpha (fma.f64 alpha 5 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (fma.f64 alpha 5 6) (*.f64 alpha (fma.f64 alpha 5 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha 2) 6 (*.f64 (+.f64 alpha 2) (*.f64 alpha 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha 2) (*.f64 alpha 5) (*.f64 (+.f64 alpha 2) 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha 5 6) 2)) (*.f64 (cbrt.f64 (fma.f64 alpha 5 6)) alpha) (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha 5 6) 2)) (*.f64 (cbrt.f64 (fma.f64 alpha 5 6)) 2) (*.f64 alpha (fma.f64 alpha 5 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (fma.f64 alpha 5 6)) (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 alpha 5 6)) (*.f64 (sqrt.f64 (fma.f64 alpha 5 6)) alpha) (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 alpha 5 6)) (*.f64 (sqrt.f64 (fma.f64 alpha 5 6)) 2) (*.f64 alpha (fma.f64 alpha 5 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (fma.f64 alpha 5 6)) (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (*.f64 alpha 5) 2 12) 1 (*.f64 (*.f64 alpha (fma.f64 alpha 5 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 (*.f64 alpha 5) 2 12)) (cbrt.f64 (fma.f64 (*.f64 alpha 5) 2 12))) (cbrt.f64 (fma.f64 (*.f64 alpha 5) 2 12)) (*.f64 alpha (fma.f64 alpha 5 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 alpha (fma.f64 alpha 5 6))) (cbrt.f64 (*.f64 alpha (fma.f64 alpha 5 6)))) (cbrt.f64 (*.f64 alpha (fma.f64 alpha 5 6))) (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (*.f64 alpha 5) 2 12)) (sqrt.f64 (fma.f64 (*.f64 alpha 5) 2 12)) (*.f64 alpha (fma.f64 alpha 5 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 alpha (fma.f64 alpha 5 6))) (sqrt.f64 (*.f64 alpha (fma.f64 alpha 5 6))) (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (fma.f64 alpha 5 6)) (sqrt.f64 alpha)) (*.f64 (sqrt.f64 (fma.f64 alpha 5 6)) (sqrt.f64 alpha)) (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 alpha) (sqrt.f64 (fma.f64 alpha 5 6))) (*.f64 (sqrt.f64 alpha) (sqrt.f64 (fma.f64 alpha 5 6))) (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 alpha 5 6) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha) (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 alpha 5 6) (sqrt.f64 alpha)) (sqrt.f64 alpha) (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 alpha (cbrt.f64 (pow.f64 (fma.f64 alpha 5 6) 2))) (cbrt.f64 (fma.f64 alpha 5 6)) (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 alpha (sqrt.f64 (fma.f64 alpha 5 6))) (sqrt.f64 (fma.f64 alpha 5 6)) (fma.f64 (*.f64 alpha 5) 2 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 (fma.f64 alpha 5 6) 2))) (cbrt.f64 (fma.f64 alpha 5 6)) (*.f64 alpha (fma.f64 alpha 5 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (fma.f64 alpha 5 6))) (sqrt.f64 (fma.f64 alpha 5 6)) (*.f64 alpha (fma.f64 alpha 5 6))))))) |
| 1× | egg-herbie |
| 825× | fma-def_binary64 |
| 774× | distribute-neg-frac_binary64 |
| 417× | times-frac_binary64 |
| 376× | distribute-rgt-neg-in_binary64 |
| 352× | distribute-lft-neg-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 311 |
| 1 | 117 | 295 |
| 2 | 277 | 290 |
| 3 | 725 | 261 |
| 4 | 2130 | 258 |
| 5 | 6061 | 258 |
| 1× | node limit |
| Inputs |
|---|
1/12 |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(+.f64 1/12 (+.f64 (*.f64 -1/36 alpha) (*.f64 1/432 (pow.f64 alpha 2)))) |
(+.f64 1/12 (+.f64 (*.f64 -1/36 alpha) (+.f64 (*.f64 1/432 (pow.f64 alpha 2)) (*.f64 11/1296 (pow.f64 alpha 3))))) |
(/.f64 1/5 alpha) |
(-.f64 (*.f64 1/5 (/.f64 1 alpha)) (*.f64 11/25 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 116/125 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/5 (/.f64 1 alpha))) (*.f64 11/25 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 116/125 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/5 (/.f64 1 alpha))) (+.f64 (*.f64 11/25 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1196/625 (/.f64 1 (pow.f64 alpha 4))))) |
(/.f64 1/5 alpha) |
(-.f64 (*.f64 1/5 (/.f64 1 alpha)) (*.f64 11/25 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 116/125 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/5 (/.f64 1 alpha))) (*.f64 11/25 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 116/125 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/5 (/.f64 1 alpha))) (+.f64 (*.f64 11/25 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1196/625 (/.f64 1 (pow.f64 alpha 4))))) |
12 |
(+.f64 12 (*.f64 16 alpha)) |
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (+.f64 12 (*.f64 16 alpha))) |
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (+.f64 12 (*.f64 16 alpha))) |
(*.f64 5 (pow.f64 alpha 2)) |
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (*.f64 16 alpha)) |
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (+.f64 12 (*.f64 16 alpha))) |
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (+.f64 12 (*.f64 16 alpha))) |
(*.f64 5 (pow.f64 alpha 2)) |
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (*.f64 16 alpha)) |
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (+.f64 12 (*.f64 16 alpha))) |
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (+.f64 12 (*.f64 16 alpha))) |
| Outputs |
|---|
1/12 |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(fma.f64 -1/36 alpha 1/12) |
(+.f64 1/12 (+.f64 (*.f64 -1/36 alpha) (*.f64 1/432 (pow.f64 alpha 2)))) |
(+.f64 1/12 (fma.f64 -1/36 alpha (*.f64 1/432 (*.f64 alpha alpha)))) |
(+.f64 1/12 (fma.f64 -1/36 alpha (*.f64 alpha (*.f64 alpha 1/432)))) |
(fma.f64 -1/36 alpha (fma.f64 alpha (*.f64 alpha 1/432) 1/12)) |
(fma.f64 alpha (fma.f64 alpha 1/432 -1/36) 1/12) |
(+.f64 1/12 (+.f64 (*.f64 -1/36 alpha) (+.f64 (*.f64 1/432 (pow.f64 alpha 2)) (*.f64 11/1296 (pow.f64 alpha 3))))) |
(+.f64 1/12 (fma.f64 -1/36 alpha (fma.f64 1/432 (*.f64 alpha alpha) (*.f64 11/1296 (pow.f64 alpha 3))))) |
(+.f64 (fma.f64 -1/36 alpha 1/12) (*.f64 (*.f64 alpha alpha) (+.f64 1/432 (*.f64 alpha 11/1296)))) |
(fma.f64 (*.f64 alpha alpha) (fma.f64 alpha 11/1296 1/432) (fma.f64 -1/36 alpha 1/12)) |
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha 11/1296 1/432) -1/36) 1/12) |
(/.f64 1/5 alpha) |
(-.f64 (*.f64 1/5 (/.f64 1 alpha)) (*.f64 11/25 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 1/5 alpha) (/.f64 11/25 (*.f64 alpha alpha))) |
(+.f64 (/.f64 1/5 alpha) (/.f64 -11/25 (*.f64 alpha alpha))) |
(+.f64 (/.f64 1/5 alpha) (/.f64 (/.f64 -11/25 alpha) alpha)) |
(-.f64 (+.f64 (*.f64 116/125 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/5 (/.f64 1 alpha))) (*.f64 11/25 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 116/125 (pow.f64 alpha 3)) (-.f64 (/.f64 1/5 alpha) (/.f64 11/25 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 1/5 alpha) (/.f64 116/125 (pow.f64 alpha 3))) (/.f64 -11/25 (*.f64 alpha alpha))) |
(+.f64 (/.f64 1/5 alpha) (-.f64 (/.f64 116/125 (pow.f64 alpha 3)) (/.f64 11/25 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 1/5 alpha) (+.f64 (/.f64 116/125 (pow.f64 alpha 3)) (/.f64 (/.f64 -11/25 alpha) alpha))) |
(-.f64 (+.f64 (*.f64 116/125 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/5 (/.f64 1 alpha))) (+.f64 (*.f64 11/25 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1196/625 (/.f64 1 (pow.f64 alpha 4))))) |
(-.f64 (+.f64 (/.f64 1/5 alpha) (/.f64 116/125 (pow.f64 alpha 3))) (+.f64 (/.f64 11/25 (*.f64 alpha alpha)) (/.f64 1196/625 (pow.f64 alpha 4)))) |
(+.f64 (+.f64 (/.f64 1/5 alpha) (/.f64 116/125 (pow.f64 alpha 3))) (-.f64 (/.f64 -11/25 (*.f64 alpha alpha)) (/.f64 1196/625 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 116/125 (pow.f64 alpha 3)) (+.f64 (/.f64 1/5 alpha) (-.f64 (/.f64 -11/25 (*.f64 alpha alpha)) (/.f64 1196/625 (pow.f64 alpha 4))))) |
(+.f64 (/.f64 1/5 alpha) (+.f64 (/.f64 -11/25 (*.f64 alpha alpha)) (+.f64 (/.f64 116/125 (pow.f64 alpha 3)) (/.f64 -1196/625 (pow.f64 alpha 4))))) |
(+.f64 (/.f64 1/5 alpha) (+.f64 (/.f64 116/125 (pow.f64 alpha 3)) (+.f64 (/.f64 (/.f64 -11/25 alpha) alpha) (/.f64 -1196/625 (pow.f64 alpha 4))))) |
(/.f64 1/5 alpha) |
(-.f64 (*.f64 1/5 (/.f64 1 alpha)) (*.f64 11/25 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 1/5 alpha) (/.f64 11/25 (*.f64 alpha alpha))) |
(+.f64 (/.f64 1/5 alpha) (/.f64 -11/25 (*.f64 alpha alpha))) |
(+.f64 (/.f64 1/5 alpha) (/.f64 (/.f64 -11/25 alpha) alpha)) |
(-.f64 (+.f64 (*.f64 116/125 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/5 (/.f64 1 alpha))) (*.f64 11/25 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 116/125 (pow.f64 alpha 3)) (-.f64 (/.f64 1/5 alpha) (/.f64 11/25 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 1/5 alpha) (/.f64 116/125 (pow.f64 alpha 3))) (/.f64 -11/25 (*.f64 alpha alpha))) |
(+.f64 (/.f64 1/5 alpha) (-.f64 (/.f64 116/125 (pow.f64 alpha 3)) (/.f64 11/25 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 1/5 alpha) (+.f64 (/.f64 116/125 (pow.f64 alpha 3)) (/.f64 (/.f64 -11/25 alpha) alpha))) |
(-.f64 (+.f64 (*.f64 116/125 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/5 (/.f64 1 alpha))) (+.f64 (*.f64 11/25 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1196/625 (/.f64 1 (pow.f64 alpha 4))))) |
(-.f64 (+.f64 (/.f64 1/5 alpha) (/.f64 116/125 (pow.f64 alpha 3))) (+.f64 (/.f64 11/25 (*.f64 alpha alpha)) (/.f64 1196/625 (pow.f64 alpha 4)))) |
(+.f64 (+.f64 (/.f64 1/5 alpha) (/.f64 116/125 (pow.f64 alpha 3))) (-.f64 (/.f64 -11/25 (*.f64 alpha alpha)) (/.f64 1196/625 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 116/125 (pow.f64 alpha 3)) (+.f64 (/.f64 1/5 alpha) (-.f64 (/.f64 -11/25 (*.f64 alpha alpha)) (/.f64 1196/625 (pow.f64 alpha 4))))) |
(+.f64 (/.f64 1/5 alpha) (+.f64 (/.f64 -11/25 (*.f64 alpha alpha)) (+.f64 (/.f64 116/125 (pow.f64 alpha 3)) (/.f64 -1196/625 (pow.f64 alpha 4))))) |
(+.f64 (/.f64 1/5 alpha) (+.f64 (/.f64 116/125 (pow.f64 alpha 3)) (+.f64 (/.f64 (/.f64 -11/25 alpha) alpha) (/.f64 -1196/625 (pow.f64 alpha 4))))) |
12 |
(+.f64 12 (*.f64 16 alpha)) |
(+.f64 12 (*.f64 alpha 16)) |
(fma.f64 alpha 16 12) |
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (+.f64 12 (*.f64 16 alpha))) |
(fma.f64 5 (*.f64 alpha alpha) (+.f64 12 (*.f64 alpha 16))) |
(fma.f64 (*.f64 alpha alpha) 5 (fma.f64 alpha 16 12)) |
(fma.f64 alpha 16 (fma.f64 alpha (*.f64 alpha 5) 12)) |
(fma.f64 alpha (fma.f64 alpha 5 16) 12) |
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (+.f64 12 (*.f64 16 alpha))) |
(fma.f64 5 (*.f64 alpha alpha) (+.f64 12 (*.f64 alpha 16))) |
(fma.f64 (*.f64 alpha alpha) 5 (fma.f64 alpha 16 12)) |
(fma.f64 alpha 16 (fma.f64 alpha (*.f64 alpha 5) 12)) |
(fma.f64 alpha (fma.f64 alpha 5 16) 12) |
(*.f64 5 (pow.f64 alpha 2)) |
(*.f64 (*.f64 alpha alpha) 5) |
(*.f64 alpha (*.f64 alpha 5)) |
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (*.f64 16 alpha)) |
(fma.f64 5 (*.f64 alpha alpha) (*.f64 alpha 16)) |
(fma.f64 alpha 16 (*.f64 alpha (*.f64 alpha 5))) |
(*.f64 alpha (+.f64 16 (*.f64 alpha 5))) |
(*.f64 alpha (fma.f64 alpha 5 16)) |
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (+.f64 12 (*.f64 16 alpha))) |
(fma.f64 5 (*.f64 alpha alpha) (+.f64 12 (*.f64 alpha 16))) |
(fma.f64 (*.f64 alpha alpha) 5 (fma.f64 alpha 16 12)) |
(fma.f64 alpha 16 (fma.f64 alpha (*.f64 alpha 5) 12)) |
(fma.f64 alpha (fma.f64 alpha 5 16) 12) |
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (+.f64 12 (*.f64 16 alpha))) |
(fma.f64 5 (*.f64 alpha alpha) (+.f64 12 (*.f64 alpha 16))) |
(fma.f64 (*.f64 alpha alpha) 5 (fma.f64 alpha 16 12)) |
(fma.f64 alpha 16 (fma.f64 alpha (*.f64 alpha 5) 12)) |
(fma.f64 alpha (fma.f64 alpha 5 16) 12) |
(*.f64 5 (pow.f64 alpha 2)) |
(*.f64 (*.f64 alpha alpha) 5) |
(*.f64 alpha (*.f64 alpha 5)) |
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (*.f64 16 alpha)) |
(fma.f64 5 (*.f64 alpha alpha) (*.f64 alpha 16)) |
(fma.f64 alpha 16 (*.f64 alpha (*.f64 alpha 5))) |
(*.f64 alpha (+.f64 16 (*.f64 alpha 5))) |
(*.f64 alpha (fma.f64 alpha 5 16)) |
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (+.f64 12 (*.f64 16 alpha))) |
(fma.f64 5 (*.f64 alpha alpha) (+.f64 12 (*.f64 alpha 16))) |
(fma.f64 (*.f64 alpha alpha) 5 (fma.f64 alpha 16 12)) |
(fma.f64 alpha 16 (fma.f64 alpha (*.f64 alpha 5) 12)) |
(fma.f64 alpha (fma.f64 alpha 5 16) 12) |
(+.f64 (*.f64 5 (pow.f64 alpha 2)) (+.f64 12 (*.f64 16 alpha))) |
(fma.f64 5 (*.f64 alpha alpha) (+.f64 12 (*.f64 alpha 16))) |
(fma.f64 (*.f64 alpha alpha) 5 (fma.f64 alpha 16 12)) |
(fma.f64 alpha 16 (fma.f64 alpha (*.f64 alpha 5) 12)) |
(fma.f64 alpha (fma.f64 alpha 5 16) 12) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 beta (+.f64 beta 4)) |
| ✓ | 0.1b | (/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
| ✓ | 18.9b | (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) |
Compiled 79 to 54 computations (31.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
| 1.0ms | alpha | @ | inf | (/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
| 1.0ms | alpha | @ | -inf | (/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
| 1.0ms | beta | @ | 0 | (/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
| 1.0ms | beta | @ | 0 | (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) |
| 1× | batch-egg-rewrite |
| 972× | prod-diff_binary64 |
| 328× | log1p-udef_binary64 |
| 192× | add-sqr-sqrt_binary64 |
| 188× | *-un-lft-identity_binary64 |
| 188× | pow1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 48 |
| 1 | 370 | 44 |
| 2 | 5739 | 44 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) |
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(*.f64 beta (+.f64 beta 4)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 1 (fma.f64 beta (+.f64 beta 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))) 2) (cbrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (*.f64 (cbrt.f64 (+.f64 beta 1)) (/.f64 1 (fma.f64 beta (+.f64 beta 4) 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(-.f64 (log1p.f64 beta) (log.f64 (fma.f64 beta (+.f64 beta 4) 4))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta (+.f64 alpha 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (*.f64 (/.f64 1 (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta (+.f64 alpha 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4))) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (/.f64 1 (fma.f64 beta (+.f64 beta 4) 4)) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) 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(/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta (+.f64 alpha 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta (+.f64 alpha 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (fma.f64 beta (+.f64 beta 4) 4) (+.f64 beta 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (neg.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta (+.f64 alpha 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta beta) (*.f64 beta 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta 4) (*.f64 beta beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 beta beta) 1) (*.f64 (*.f64 beta 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 beta (+.f64 beta 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 beta 4) 3)) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (-.f64 (*.f64 (*.f64 beta 4) (*.f64 beta 4)) (*.f64 (*.f64 beta beta) (*.f64 beta 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (*.f64 beta 4) (*.f64 beta 4))) (-.f64 (*.f64 beta beta) (*.f64 beta 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 64 (pow.f64 beta 3)) beta) (fma.f64 beta beta (-.f64 16 (*.f64 beta 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 beta beta -16) beta) (+.f64 beta -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 beta (+.f64 64 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 16 (*.f64 beta 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 beta (fma.f64 beta beta -16)) (+.f64 beta -4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 beta (+.f64 beta 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 beta (+.f64 beta 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 beta (+.f64 beta 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 beta (+.f64 beta 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 beta (+.f64 beta 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 beta 4)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 beta (+.f64 beta 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 beta (+.f64 beta 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 beta (+.f64 beta 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 beta (+.f64 beta 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 beta (+.f64 beta 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 beta (+.f64 beta 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta beta (*.f64 beta 4)))))) |
| 1× | egg-herbie |
| 713× | associate-*r*_binary64 |
| 712× | associate-*l*_binary64 |
| 500× | times-frac_binary64 |
| 403× | associate-/r*_binary64 |
| 371× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 196 | 2237 |
| 1 | 682 | 2046 |
| 2 | 2891 | 1971 |
| 1× | node limit |
| Inputs |
|---|
1/4 |
(+.f64 1/4 (*.f64 -1/16 (pow.f64 beta 2))) |
(+.f64 1/4 (+.f64 (*.f64 -1/16 (pow.f64 beta 2)) (*.f64 1/16 (pow.f64 beta 3)))) |
(+.f64 (*.f64 -3/64 (pow.f64 beta 4)) (+.f64 1/4 (+.f64 (*.f64 -1/16 (pow.f64 beta 2)) (*.f64 1/16 (pow.f64 beta 3))))) |
(/.f64 1 beta) |
(-.f64 (/.f64 1 beta) (*.f64 3 (/.f64 1 (pow.f64 beta 2)))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3 (/.f64 1 (pow.f64 beta 2)))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 beta 4))) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))) |
(/.f64 1 beta) |
(-.f64 (/.f64 1 beta) (*.f64 3 (/.f64 1 (pow.f64 beta 2)))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3 (/.f64 1 (pow.f64 beta 2)))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 beta 4))) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))) |
(/.f64 1/4 (+.f64 3 alpha)) |
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta)) |
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/16 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha)))))))) |
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/16 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha)))))) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 alpha)) (+.f64 3 alpha))) (*.f64 -1/4 (/.f64 (*.f64 (+.f64 (*.f64 1/16 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha)))))))))) |
(/.f64 1 (pow.f64 beta 2)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (*.f64 4 (+.f64 3 alpha)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (*.f64 4 (+.f64 3 alpha)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 4 (*.f64 4 (+.f64 3 alpha))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (*.f64 4 (+.f64 3 alpha)))) (+.f64 7 alpha))) (*.f64 4 (+.f64 3 alpha)))) (pow.f64 beta 5)))))) |
(/.f64 1 (pow.f64 beta 2)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 3)))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -4 (+.f64 3 alpha)) 4)) (*.f64 (+.f64 1 (*.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha))) (pow.f64 beta 4)))))) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -4 (/.f64 (+.f64 3 alpha) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -4 (+.f64 3 alpha)) 4)) (*.f64 (+.f64 1 (*.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha))) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (+.f64 7 alpha) (+.f64 (*.f64 (+.f64 7 alpha) (+.f64 1 (*.f64 -1 (+.f64 7 alpha)))) (*.f64 -1 (-.f64 (*.f64 -4 (+.f64 3 alpha)) 4)))) (pow.f64 beta 5)) (/.f64 (*.f64 (-.f64 (*.f64 -4 (+.f64 3 alpha)) 4) (+.f64 1 (*.f64 -1 (+.f64 7 alpha)))) (pow.f64 beta 5)))))))) |
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) |
(+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (+.f64 (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2)))) alpha)))) |
(+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (+.f64 (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2)))) alpha)) (/.f64 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 2)) (+.f64 beta 3))))) |
(+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (+.f64 (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2)))) alpha)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 4))) (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 4)))))) (/.f64 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 2)) (+.f64 beta 3)))))) |
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 3))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 4)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 3))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)))))) |
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 3))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 4)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 3))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)))))) |
(*.f64 4 beta) |
(+.f64 (pow.f64 beta 2) (*.f64 4 beta)) |
(+.f64 (pow.f64 beta 2) (*.f64 4 beta)) |
(+.f64 (pow.f64 beta 2) (*.f64 4 beta)) |
(pow.f64 beta 2) |
(+.f64 (*.f64 4 beta) (pow.f64 beta 2)) |
(+.f64 (*.f64 4 beta) (pow.f64 beta 2)) |
(+.f64 (*.f64 4 beta) (pow.f64 beta 2)) |
(pow.f64 beta 2) |
(+.f64 (*.f64 4 beta) (pow.f64 beta 2)) |
(+.f64 (*.f64 4 beta) (pow.f64 beta 2)) |
(+.f64 (*.f64 4 beta) (pow.f64 beta 2)) |
| Outputs |
|---|
1/4 |
(+.f64 1/4 (*.f64 -1/16 (pow.f64 beta 2))) |
(+.f64 1/4 (*.f64 -1/16 (*.f64 beta beta))) |
(fma.f64 -1/16 (*.f64 beta beta) 1/4) |
(+.f64 1/4 (+.f64 (*.f64 -1/16 (pow.f64 beta 2)) (*.f64 1/16 (pow.f64 beta 3)))) |
(+.f64 1/4 (fma.f64 -1/16 (*.f64 beta beta) (*.f64 1/16 (pow.f64 beta 3)))) |
(+.f64 1/4 (*.f64 (*.f64 beta beta) (+.f64 -1/16 (*.f64 1/16 beta)))) |
(+.f64 (*.f64 -3/64 (pow.f64 beta 4)) (+.f64 1/4 (+.f64 (*.f64 -1/16 (pow.f64 beta 2)) (*.f64 1/16 (pow.f64 beta 3))))) |
(fma.f64 -3/64 (pow.f64 beta 4) (+.f64 1/4 (fma.f64 -1/16 (*.f64 beta beta) (*.f64 1/16 (pow.f64 beta 3))))) |
(+.f64 (fma.f64 -1/16 (*.f64 beta beta) (*.f64 1/16 (pow.f64 beta 3))) (fma.f64 -3/64 (pow.f64 beta 4) 1/4)) |
(+.f64 (*.f64 (*.f64 beta beta) (+.f64 -1/16 (*.f64 1/16 beta))) (fma.f64 -3/64 (pow.f64 beta 4) 1/4)) |
(/.f64 1 beta) |
(-.f64 (/.f64 1 beta) (*.f64 3 (/.f64 1 (pow.f64 beta 2)))) |
(-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta))) |
(+.f64 (/.f64 1 beta) (/.f64 -3 (*.f64 beta beta))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3 (/.f64 1 (pow.f64 beta 2)))) |
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 8 (pow.f64 beta 3)) (/.f64 3 (*.f64 beta beta)))) |
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 8 (pow.f64 beta 3)) (/.f64 -3 (*.f64 beta beta)))) |
(+.f64 (/.f64 8 (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (/.f64 -3 (*.f64 beta beta)))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 beta 4))) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))) |
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 8 (pow.f64 beta 3)) (+.f64 (/.f64 3 (*.f64 beta beta)) (/.f64 20 (pow.f64 beta 4))))) |
(+.f64 (+.f64 (/.f64 8 (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (/.f64 -3 (*.f64 beta beta)))) (/.f64 -20 (pow.f64 beta 4))) |
(/.f64 1 beta) |
(-.f64 (/.f64 1 beta) (*.f64 3 (/.f64 1 (pow.f64 beta 2)))) |
(-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta))) |
(+.f64 (/.f64 1 beta) (/.f64 -3 (*.f64 beta beta))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3 (/.f64 1 (pow.f64 beta 2)))) |
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 8 (pow.f64 beta 3)) (/.f64 3 (*.f64 beta beta)))) |
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 8 (pow.f64 beta 3)) (/.f64 -3 (*.f64 beta beta)))) |
(+.f64 (/.f64 8 (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (/.f64 -3 (*.f64 beta beta)))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 20 (/.f64 1 (pow.f64 beta 4))) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))) |
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 8 (pow.f64 beta 3)) (+.f64 (/.f64 3 (*.f64 beta beta)) (/.f64 20 (pow.f64 beta 4))))) |
(+.f64 (+.f64 (/.f64 8 (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (/.f64 -3 (*.f64 beta beta)))) (/.f64 -20 (pow.f64 beta 4))) |
(/.f64 1/4 (+.f64 3 alpha)) |
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta)) |
(+.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 beta (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 1/16 (/.f64 (+.f64 4 (+.f64 12 (*.f64 4 alpha))) (pow.f64 (+.f64 3 alpha) 2)))))) |
(fma.f64 beta (+.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (*.f64 -1/16 (+.f64 16 (*.f64 4 alpha))) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1/4 (+.f64 3 alpha))) |
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/16 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha)))))))) |
(+.f64 (/.f64 1/4 (+.f64 3 alpha)) (fma.f64 (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 1/16 (/.f64 (+.f64 4 (+.f64 12 (*.f64 4 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta (neg.f64 (*.f64 (*.f64 beta beta) (fma.f64 1/16 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 3 alpha) 2)) (*.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 1/16 (/.f64 (+.f64 4 (+.f64 12 (*.f64 4 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 (+.f64 3 alpha) (+.f64 4 (+.f64 12 (*.f64 4 alpha))))))))))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (*.f64 -1/16 (+.f64 16 (*.f64 4 alpha))) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1/4 (+.f64 3 alpha))) (*.f64 (*.f64 beta beta) (fma.f64 1/16 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 3 alpha) 2)) (/.f64 (*.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (*.f64 -1/16 (+.f64 16 (*.f64 4 alpha))) (pow.f64 (+.f64 3 alpha) 2))) 1/4) (/.f64 (+.f64 3 alpha) (+.f64 16 (*.f64 4 alpha))))))) |
(+.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 beta (-.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (*.f64 -1/16 (+.f64 16 (*.f64 4 alpha))) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 (fma.f64 1/4 (*.f64 (/.f64 (+.f64 16 (*.f64 4 alpha)) (+.f64 3 alpha)) (+.f64 (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (*.f64 -1/16 (+.f64 16 (*.f64 4 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (*.f64 (/.f64 1/16 (pow.f64 (+.f64 3 alpha) 2)) (+.f64 alpha 7))) beta)))) |
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/16 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha)))))) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 alpha)) (+.f64 3 alpha))) (*.f64 -1/4 (/.f64 (*.f64 (+.f64 (*.f64 1/16 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha)))) (+.f64 4 (*.f64 4 (+.f64 3 alpha)))) (+.f64 3 alpha)))))))))) |
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(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (*.f64 beta beta)) |
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(/.f64 1 (pow.f64 beta 2)) |
(/.f64 1 (*.f64 beta beta)) |
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 3)))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (neg.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)))) |
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3))) |
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(fma.f64 -1 (/.f64 (+.f64 4 (fma.f64 -1 (*.f64 (+.f64 alpha 7) (+.f64 alpha 6)) (+.f64 12 (*.f64 4 alpha)))) (pow.f64 beta 4)) (+.f64 (/.f64 1 (*.f64 beta beta)) (neg.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))))) |
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) |
(/.f64 (+.f64 beta 1) (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (+.f64 beta 3))) |
(+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (+.f64 (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2)))) alpha)))) |
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(+.f64 (/.f64 beta (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (+.f64 beta 3))) (-.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (fma.f64 beta (+.f64 beta 4) 4)) (*.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta 3)) (+.f64 (/.f64 beta (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (pow.f64 (+.f64 beta 3) 2)))))) (+.f64 (*.f64 (/.f64 beta (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (pow.f64 (+.f64 beta 3) 2))) alpha) (/.f64 alpha (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (pow.f64 (+.f64 beta 3) 2)))))) |
(+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (+.f64 (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2)))) alpha)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 4))) (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 4)))))) (/.f64 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 2)) (+.f64 beta 3)))))) |
(+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (+.f64 (/.f64 (/.f64 1 (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 beta 3)) (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2))))) (fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 4))) (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 4))))) (/.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 (+.f64 beta 3) 2)))) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))))))) |
(+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 (/.f64 (/.f64 1 (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta 3)) (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 beta (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (pow.f64 (+.f64 beta 3) 2)))) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (pow.f64 (+.f64 beta 3) 4))) (/.f64 beta (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (pow.f64 (+.f64 beta 3) 4)))))) (*.f64 alpha (+.f64 (/.f64 beta (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (pow.f64 (+.f64 beta 3) 2)))))))) |
(+.f64 (/.f64 beta (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (+.f64 beta 3))) (+.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 (*.f64 (/.f64 beta (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (pow.f64 (+.f64 beta 3) 2))) alpha) (/.f64 alpha (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (pow.f64 (+.f64 beta 3) 2))))) (*.f64 (*.f64 alpha alpha) (-.f64 (/.f64 (+.f64 (/.f64 beta (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (pow.f64 (+.f64 beta 3) 2)))) (+.f64 beta 3)) (*.f64 (+.f64 (/.f64 (/.f64 1 (fma.f64 beta (+.f64 beta 4) 4)) (pow.f64 (+.f64 beta 3) 4)) (/.f64 beta (*.f64 (fma.f64 beta (+.f64 beta 4) 4) (pow.f64 (+.f64 beta 3) 4)))) alpha))))) |
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)) |
(/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 4 (*.f64 beta (+.f64 beta 4))))) |
(/.f64 (+.f64 beta 1) (*.f64 alpha (fma.f64 beta (+.f64 beta 4) 4))) |
(/.f64 (/.f64 (+.f64 beta 1) alpha) (fma.f64 beta (+.f64 beta 4) 4)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)))) |
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (+.f64 (/.f64 beta (*.f64 alpha (+.f64 4 (*.f64 beta (+.f64 beta 4))))) (/.f64 1 (*.f64 alpha (+.f64 4 (*.f64 beta (+.f64 beta 4))))))) |
(-.f64 (+.f64 (/.f64 (/.f64 beta alpha) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 1 (*.f64 alpha (fma.f64 beta (+.f64 beta 4) 4)))) (*.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)))) |
(+.f64 (/.f64 (/.f64 beta (fma.f64 beta (+.f64 beta 4) 4)) alpha) (-.f64 (/.f64 (/.f64 1 alpha) (fma.f64 beta (+.f64 beta 4) 4)) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta 3)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 3))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha))))) |
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (+.f64 (/.f64 beta (*.f64 alpha (+.f64 4 (*.f64 beta (+.f64 beta 4))))) (+.f64 (/.f64 1 (*.f64 alpha (+.f64 4 (*.f64 beta (+.f64 beta 4))))) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)))))) |
(-.f64 (+.f64 (/.f64 (/.f64 beta alpha) (fma.f64 beta (+.f64 beta 4) 4)) (fma.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (/.f64 1 (*.f64 alpha (fma.f64 beta (+.f64 beta 4) 4))))) (*.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)))) |
(+.f64 (/.f64 (/.f64 beta (fma.f64 beta (+.f64 beta 4) 4)) alpha) (-.f64 (fma.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (/.f64 (/.f64 1 alpha) (fma.f64 beta (+.f64 beta 4) 4))) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta 3)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 4)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 3))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)))))) |
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (+.f64 (/.f64 beta (*.f64 alpha (+.f64 4 (*.f64 beta (+.f64 beta 4))))) (fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (/.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (*.f64 alpha (+.f64 4 (*.f64 beta (+.f64 beta 4))))) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))))))) |
(-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (/.f64 1 (*.f64 alpha (fma.f64 beta (+.f64 beta 4) 4)))) (-.f64 (/.f64 (/.f64 beta alpha) (fma.f64 beta (+.f64 beta 4) 4)) (*.f64 (/.f64 (pow.f64 (+.f64 beta 3) 3) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 (+.f64 beta 1) (pow.f64 alpha 4))))) (*.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 (/.f64 1 alpha) (fma.f64 beta (+.f64 beta 4) 4)) (*.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (/.f64 (neg.f64 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 alpha 4))))) (-.f64 (/.f64 (/.f64 beta (fma.f64 beta (+.f64 beta 4) 4)) alpha) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta 3)))) |
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)) |
(/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 4 (*.f64 beta (+.f64 beta 4))))) |
(/.f64 (+.f64 beta 1) (*.f64 alpha (fma.f64 beta (+.f64 beta 4) 4))) |
(/.f64 (/.f64 (+.f64 beta 1) alpha) (fma.f64 beta (+.f64 beta 4) 4)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)))) |
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (+.f64 (/.f64 beta (*.f64 alpha (+.f64 4 (*.f64 beta (+.f64 beta 4))))) (/.f64 1 (*.f64 alpha (+.f64 4 (*.f64 beta (+.f64 beta 4))))))) |
(-.f64 (+.f64 (/.f64 (/.f64 beta alpha) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 1 (*.f64 alpha (fma.f64 beta (+.f64 beta 4) 4)))) (*.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)))) |
(+.f64 (/.f64 (/.f64 beta (fma.f64 beta (+.f64 beta 4) 4)) alpha) (-.f64 (/.f64 (/.f64 1 alpha) (fma.f64 beta (+.f64 beta 4) 4)) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta 3)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 3))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha))))) |
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (+.f64 (/.f64 beta (*.f64 alpha (+.f64 4 (*.f64 beta (+.f64 beta 4))))) (+.f64 (/.f64 1 (*.f64 alpha (+.f64 4 (*.f64 beta (+.f64 beta 4))))) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)))))) |
(-.f64 (+.f64 (/.f64 (/.f64 beta alpha) (fma.f64 beta (+.f64 beta 4) 4)) (fma.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (/.f64 1 (*.f64 alpha (fma.f64 beta (+.f64 beta 4) 4))))) (*.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)))) |
(+.f64 (/.f64 (/.f64 beta (fma.f64 beta (+.f64 beta 4) 4)) alpha) (-.f64 (fma.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (/.f64 (/.f64 1 alpha) (fma.f64 beta (+.f64 beta 4) 4))) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta 3)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 2)))) (+.f64 (/.f64 beta (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 4)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (pow.f64 alpha 3))) (/.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) alpha)))))) |
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (+.f64 (/.f64 beta (*.f64 alpha (+.f64 4 (*.f64 beta (+.f64 beta 4))))) (fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (/.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (*.f64 alpha (+.f64 4 (*.f64 beta (+.f64 beta 4))))) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))))))) |
(-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (/.f64 1 (*.f64 alpha (fma.f64 beta (+.f64 beta 4) 4)))) (-.f64 (/.f64 (/.f64 beta alpha) (fma.f64 beta (+.f64 beta 4) 4)) (*.f64 (/.f64 (pow.f64 (+.f64 beta 3) 3) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 (+.f64 beta 1) (pow.f64 alpha 4))))) (*.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 (/.f64 1 alpha) (fma.f64 beta (+.f64 beta 4) 4)) (*.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (/.f64 (neg.f64 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 alpha 4))))) (-.f64 (/.f64 (/.f64 beta (fma.f64 beta (+.f64 beta 4) 4)) alpha) (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) (fma.f64 beta (+.f64 beta 4) 4)) (+.f64 beta 3)))) |
(*.f64 4 beta) |
(*.f64 beta 4) |
(+.f64 (pow.f64 beta 2) (*.f64 4 beta)) |
(*.f64 beta (+.f64 beta 4)) |
(+.f64 (pow.f64 beta 2) (*.f64 4 beta)) |
(*.f64 beta (+.f64 beta 4)) |
(+.f64 (pow.f64 beta 2) (*.f64 4 beta)) |
(*.f64 beta (+.f64 beta 4)) |
(pow.f64 beta 2) |
(*.f64 beta beta) |
(+.f64 (*.f64 4 beta) (pow.f64 beta 2)) |
(*.f64 beta (+.f64 beta 4)) |
(+.f64 (*.f64 4 beta) (pow.f64 beta 2)) |
(*.f64 beta (+.f64 beta 4)) |
(+.f64 (*.f64 4 beta) (pow.f64 beta 2)) |
(*.f64 beta (+.f64 beta 4)) |
(pow.f64 beta 2) |
(*.f64 beta beta) |
(+.f64 (*.f64 4 beta) (pow.f64 beta 2)) |
(*.f64 beta (+.f64 beta 4)) |
(+.f64 (*.f64 4 beta) (pow.f64 beta 2)) |
(*.f64 beta (+.f64 beta 4)) |
(+.f64 (*.f64 4 beta) (pow.f64 beta 2)) |
(*.f64 beta (+.f64 beta 4)) |
Compiled 17774 to 13747 computations (22.7% saved)
25 alts after pruning (21 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 687 | 10 | 697 |
| Fresh | 7 | 11 | 18 |
| Picked | 1 | 0 | 1 |
| Done | 4 | 4 | 8 |
| Total | 699 | 25 | 724 |
| Status | Error | Program |
|---|---|---|
| 34.4b | (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (+.f64 2 alpha))) | |
| 35.8b | 1/12 | |
| 36.3b | (*.f64 (+.f64 (*.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) | |
| 28.4b | (*.f64 (pow.f64 beta -2) (+.f64 1 alpha)) | |
| 2.6b | (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (+.f64 beta 2))) | |
| 29.1b | (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) | |
| 9.1b | (/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) | |
| ✓ | 9.9b | (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))) |
| 25.6b | (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1) | |
| 25.0b | (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) 1) | |
| ✓ | 35.4b | (/.f64 1/4 (+.f64 3 alpha)) |
| ✓ | 29.0b | (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
| 34.1b | (/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) | |
| 29.4b | (+.f64 (/.f64 1 (*.f64 beta beta)) (*.f64 (/.f64 (cbrt.f64 (*.f64 alpha alpha)) beta) (/.f64 (cbrt.f64 alpha) beta))) | |
| 32.8b | (+.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 1) | |
| 35.5b | (/.f64 (+.f64 1 alpha) (+.f64 12 (*.f64 16 alpha))) | |
| 42.0b | (/.f64 (/.f64 alpha beta) beta) | |
| 36.8b | (-.f64 (+.f64 1 1/12) 1) | |
| 27.6b | (*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)) | |
| ✓ | 28.1b | (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)) |
| 35.5b | (+.f64 1/12 (*.f64 -1/36 alpha)) | |
| 62.4b | (/.f64 1/5 alpha) | |
| 30.0b | (/.f64 1 (*.f64 beta beta)) | |
| 28.1b | (+.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (*.f64 beta (/.f64 beta alpha)) -1)) | |
| 24.6b | (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1) |
Compiled 319 to 243 computations (23.8% saved)
| Inputs |
|---|
1/12 |
1/12 |
(/.f64 1/5 alpha) |
(/.f64 1/4 alpha) |
(-.f64 (+.f64 1 1/12) 1) |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 1/4 (+.f64 3 alpha)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 (/.f64 alpha beta) beta) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) |
(+.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 1) |
(/.f64 (+.f64 1 alpha) (+.f64 12 (*.f64 16 alpha))) |
(-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1) |
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)) |
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1) |
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) 1) |
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)) |
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1) |
(/.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(*.f64 (+.f64 (*.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) |
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (+.f64 beta 2))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (+.f64 2 alpha))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 1) |
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha))) |
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta))) |
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 6 (*.f64 5 alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 1 (+.f64 2 alpha))) |
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))) |
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))) |
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))) |
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (+.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (*.f64 2 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))) |
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta))) (*.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) 3) (*.f64 (+.f64 alpha (+.f64 2 beta)) 3))) (-.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta)) (*.f64 (+.f64 alpha (+.f64 2 beta)) 3))))) |
(*.f64 (pow.f64 beta -2) (+.f64 1 alpha)) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (*.f64 beta (/.f64 beta alpha)) -1)) |
(/.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 4 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) beta)) |
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (-.f64 beta (+.f64 alpha 2)))) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (*.f64 (/.f64 (cbrt.f64 (*.f64 alpha alpha)) beta) (/.f64 (cbrt.f64 alpha) beta))) |
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))) 2)) |
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))))) |
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 3))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta))))) |
| Outputs |
|---|
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (+.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (*.f64 2 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))) |
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
4 calls:
| 94.0ms | alpha |
| 93.0ms | (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
| 66.0ms | beta |
| 27.0ms | (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 2 | alpha |
| 0.1b | 2 | beta |
| 0.1b | 2 | (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
| 0.1b | 2 | (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
Compiled 1076 to 739 computations (31.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 1.0725411168713128e+49 | 1.4656568209839102e+49 |
Compiled 42 to 28 computations (33.3% saved)
| Inputs |
|---|
1/12 |
1/12 |
(/.f64 1/5 alpha) |
(/.f64 1/4 alpha) |
(-.f64 (+.f64 1 1/12) 1) |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 1/4 (+.f64 3 alpha)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 (/.f64 alpha beta) beta) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) |
(+.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 1) |
(/.f64 (+.f64 1 alpha) (+.f64 12 (*.f64 16 alpha))) |
(-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1) |
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)) |
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1) |
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) 1) |
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)) |
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1) |
(/.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(*.f64 (+.f64 (*.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) |
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (+.f64 beta 2))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (+.f64 2 alpha))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 1) |
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha))) |
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta))) |
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 6 (*.f64 5 alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 1 (+.f64 2 alpha))) |
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))) |
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))) |
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))) |
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
| Outputs |
|---|
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))) |
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
4 calls:
| 398.0ms | alpha |
| 97.0ms | beta |
| 66.0ms | (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
| 44.0ms | (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 2 | alpha |
| 0.1b | 2 | beta |
| 0.1b | 2 | (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
| 0.1b | 2 | (/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
Compiled 738 to 510 computations (30.9% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 71.0ms | 1.0725411168713128e+49 | 1.4656568209839102e+49 |
Compiled 42 to 28 computations (33.3% saved)
| Inputs |
|---|
1/12 |
1/12 |
(/.f64 1/5 alpha) |
(/.f64 1/4 alpha) |
(-.f64 (+.f64 1 1/12) 1) |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 1/4 (+.f64 3 alpha)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 (/.f64 alpha beta) beta) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) |
(+.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 1) |
(/.f64 (+.f64 1 alpha) (+.f64 12 (*.f64 16 alpha))) |
(-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1) |
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)) |
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1) |
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) 1) |
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)) |
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1) |
(/.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(*.f64 (+.f64 (*.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) |
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (+.f64 beta 2))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (+.f64 2 alpha))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 1) |
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha))) |
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta))) |
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 6 (*.f64 5 alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 1 (+.f64 2 alpha))) |
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))) |
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
2 calls:
| 97.0ms | beta |
| 61.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 1.6b | 1 | alpha |
| 0.1b | 2 | beta |
Compiled 575 to 404 computations (29.7% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 100.0ms | 1.4725359173985118e+146 | 4.70479597452253e+147 |
Compiled 42 to 28 computations (33.3% saved)
| Inputs |
|---|
1/12 |
1/12 |
(/.f64 1/5 alpha) |
(/.f64 1/4 alpha) |
(-.f64 (+.f64 1 1/12) 1) |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 1/4 (+.f64 3 alpha)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 (/.f64 alpha beta) beta) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) |
(+.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 1) |
(/.f64 (+.f64 1 alpha) (+.f64 12 (*.f64 16 alpha))) |
(-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1) |
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)) |
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1) |
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) 1) |
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)) |
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1) |
(/.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(*.f64 (+.f64 (*.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) |
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (+.f64 beta 2))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (+.f64 2 alpha))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 1) |
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha))) |
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta))) |
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 6 (*.f64 5 alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 1 (+.f64 2 alpha))) |
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))) |
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (-.f64 1 (/.f64 (+.f64 1 alpha) beta))) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
2 calls:
| 97.0ms | beta |
| 81.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 0.9b | 2 | alpha |
| 0.4b | 2 | beta |
Compiled 525 to 370 computations (29.5% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 46.0ms | 4441594.753858191 | 57677257694792.734 |
Compiled 42 to 28 computations (33.3% saved)
| Inputs |
|---|
1/12 |
1/12 |
(/.f64 1/5 alpha) |
(/.f64 1/4 alpha) |
(-.f64 (+.f64 1 1/12) 1) |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 1/4 (+.f64 3 alpha)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 (/.f64 alpha beta) beta) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) |
(+.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 1) |
(/.f64 (+.f64 1 alpha) (+.f64 12 (*.f64 16 alpha))) |
(-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1) |
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)) |
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1) |
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) 1) |
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)) |
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1) |
(/.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(*.f64 (+.f64 (*.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) |
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (+.f64 beta 2))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (+.f64 2 alpha))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 1) |
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha))) |
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta))) |
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 6 (*.f64 5 alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
| Outputs |
|---|
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
2 calls:
| 75.0ms | beta |
| 67.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 0.9b | 2 | alpha |
| 0.7b | 2 | beta |
Compiled 397 to 281 computations (29.2% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 37.0ms | 4441594.753858191 | 57677257694792.734 |
Compiled 42 to 28 computations (33.3% saved)
| Inputs |
|---|
1/12 |
1/12 |
(/.f64 1/5 alpha) |
(/.f64 1/4 alpha) |
(-.f64 (+.f64 1 1/12) 1) |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 1/4 (+.f64 3 alpha)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 (/.f64 alpha beta) beta) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) |
(+.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 1) |
(/.f64 (+.f64 1 alpha) (+.f64 12 (*.f64 16 alpha))) |
(-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1) |
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)) |
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1) |
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) 1) |
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)) |
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1) |
(/.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(*.f64 (+.f64 (*.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) |
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (+.f64 beta 2))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (+.f64 2 alpha))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 1) |
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha))) |
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta))) |
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 6 (*.f64 5 alpha))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
| Outputs |
|---|
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) |
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
2 calls:
| 83.0ms | alpha |
| 40.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 2 | alpha |
| 0.7b | 2 | beta |
Compiled 359 to 253 computations (29.5% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 48.0ms | 4441594.753858191 | 57677257694792.734 |
Compiled 42 to 28 computations (33.3% saved)
| Inputs |
|---|
1/12 |
1/12 |
(/.f64 1/5 alpha) |
(/.f64 1/4 alpha) |
(-.f64 (+.f64 1 1/12) 1) |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 1/4 (+.f64 3 alpha)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 (/.f64 alpha beta) beta) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) |
(+.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 1) |
(/.f64 (+.f64 1 alpha) (+.f64 12 (*.f64 16 alpha))) |
(-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1) |
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)) |
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1) |
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) 1) |
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)) |
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1) |
(/.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(*.f64 (+.f64 (*.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) |
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
| Outputs |
|---|
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) |
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)) |
2 calls:
| 106.0ms | alpha |
| 39.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 6.3b | 4 | alpha |
| 0.8b | 2 | beta |
Compiled 240 to 171 computations (28.8% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 54.0ms | 4441594.753858191 | 57677257694792.734 |
Compiled 42 to 28 computations (33.3% saved)
| Inputs |
|---|
1/12 |
1/12 |
(/.f64 1/5 alpha) |
(/.f64 1/4 alpha) |
(-.f64 (+.f64 1 1/12) 1) |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 1/4 (+.f64 3 alpha)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 (/.f64 alpha beta) beta) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) |
(+.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 1) |
(/.f64 (+.f64 1 alpha) (+.f64 12 (*.f64 16 alpha))) |
(-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1) |
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)) |
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1) |
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) 1) |
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)) |
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 2 alpha))) |
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1) |
(/.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(*.f64 (+.f64 (*.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) |
| Outputs |
|---|
(/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) |
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)) |
2 calls:
| 114.0ms | alpha |
| 47.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 16.7b | 6 | alpha |
| 1.1b | 2 | beta |
Compiled 210 to 150 computations (28.6% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 48.0ms | 0.7314148262823104 | 1650272.7288955017 |
Compiled 42 to 28 computations (33.3% saved)
| Inputs |
|---|
1/12 |
1/12 |
(/.f64 1/5 alpha) |
(/.f64 1/4 alpha) |
(-.f64 (+.f64 1 1/12) 1) |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 1/4 (+.f64 3 alpha)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 (/.f64 alpha beta) beta) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) |
(+.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 1) |
(/.f64 (+.f64 1 alpha) (+.f64 12 (*.f64 16 alpha))) |
(-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1) |
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)) |
| Outputs |
|---|
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)) |
2 calls:
| 53.0ms | alpha |
| 30.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 18.0b | 6 | alpha |
| 1.4b | 2 | beta |
Compiled 101 to 72 computations (28.7% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 36.0ms | 0.7314148262823104 | 1650272.7288955017 |
Compiled 42 to 28 computations (33.3% saved)
| Inputs |
|---|
1/12 |
1/12 |
(/.f64 1/5 alpha) |
(/.f64 1/4 alpha) |
(-.f64 (+.f64 1 1/12) 1) |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 1/4 (+.f64 3 alpha)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 (/.f64 alpha beta) beta) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) |
(+.f64 (+.f64 (/.f64 1/4 (+.f64 3 alpha)) -1) 1) |
(/.f64 (+.f64 1 alpha) (+.f64 12 (*.f64 16 alpha))) |
(-.f64 (+.f64 1 (/.f64 1/4 (+.f64 3 alpha))) 1) |
| Outputs |
|---|
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(/.f64 (+.f64 1 alpha) (*.f64 beta beta)) |
2 calls:
| 94.0ms | alpha |
| 17.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 19.3b | 6 | alpha |
| 2.8b | 2 | beta |
Compiled 92 to 66 computations (28.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 0.7314148262823104 | 1650272.7288955017 |
Compiled 42 to 28 computations (33.3% saved)
| Inputs |
|---|
1/12 |
1/12 |
(/.f64 1/5 alpha) |
(/.f64 1/4 alpha) |
(-.f64 (+.f64 1 1/12) 1) |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 1/4 (+.f64 3 alpha)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 (/.f64 alpha beta) beta) |
| Outputs |
|---|
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 (/.f64 alpha beta) beta) |
2 calls:
| 88.0ms | alpha |
| 20.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 18.4b | 7 | alpha |
| 2.6b | 3 | beta |
Compiled 51 to 36 computations (29.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 57.0ms | 6.096931076142862e+149 | 3.580309712052024e+150 |
| 57.0ms | 0.7314148262823104 | 1650272.7288955017 |
Compiled 42 to 28 computations (33.3% saved)
| Inputs |
|---|
1/12 |
1/12 |
(/.f64 1/5 alpha) |
(/.f64 1/4 alpha) |
(-.f64 (+.f64 1 1/12) 1) |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(/.f64 1 (*.f64 beta beta)) |
(/.f64 1/4 (+.f64 3 alpha)) |
(/.f64 1 (*.f64 beta beta)) |
| Outputs |
|---|
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(/.f64 1 (*.f64 beta beta)) |
2 calls:
| 70.0ms | alpha |
| 50.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 20.0b | 6 | alpha |
| 3.7b | 2 | beta |
Compiled 46 to 34 computations (26.1% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 32.0ms | 0.7314148262823104 | 1650272.7288955017 |
Compiled 42 to 28 computations (33.3% saved)
| Inputs |
|---|
1/12 |
1/12 |
(/.f64 1/5 alpha) |
(/.f64 1/4 alpha) |
(-.f64 (+.f64 1 1/12) 1) |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
| Outputs |
|---|
(+.f64 1/12 (*.f64 -1/36 alpha)) |
2 calls:
| 6.0ms | beta |
| 5.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 35.5b | 1 | alpha |
| 35.5b | 1 | beta |
Compiled 31 to 25 computations (19.4% saved)
Total -26.7b remaining (-74.6%)
Threshold costs -26.7b (-74.6%)
| Inputs |
|---|
1/12 |
1/12 |
(/.f64 1/5 alpha) |
(/.f64 1/4 alpha) |
(-.f64 (+.f64 1 1/12) 1) |
| Outputs |
|---|
1/12 |
2 calls:
| 4.0ms | alpha |
| 4.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 35.8b | 1 | alpha |
| 35.8b | 1 | beta |
Compiled 21 to 17 computations (19% saved)
| 1× | egg-herbie |
| 17× | +-commutative_binary64 |
| 13× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 540 |
| 1 | 119 | 540 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 beta 10725411168713127790024774960002278099492441948160) (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (+.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (*.f64 2 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))) |
(if (<=.f64 beta 10725411168713127790024774960002278099492441948160) (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))) |
(if (<=.f64 beta 147253591739851183944828060705955426100149252050579912058043012703277047450699708693841671888721153368158581513142540918428200595706503221959720960) (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))) |
(if (<=.f64 beta 4769126052476525/1073741824) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))) |
(if (<=.f64 beta 4769126052476525/1073741824) (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))) |
(if (<=.f64 beta 4769126052476525/1073741824) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))) |
(if (<=.f64 beta 4769126052476525/1073741824) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))) |
(if (<=.f64 beta 3293999539098269/4503599627370496) (/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) (*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))) |
(if (<=.f64 beta 3293999539098269/4503599627370496) (+.f64 1/12 (*.f64 -1/36 alpha)) (*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))) |
(if (<=.f64 beta 3293999539098269/4503599627370496) (+.f64 1/12 (*.f64 -1/36 alpha)) (/.f64 (+.f64 1 alpha) (*.f64 beta beta))) |
(if (<=.f64 beta 3293999539098269/4503599627370496) (+.f64 1/12 (*.f64 -1/36 alpha)) (if (<=.f64 beta 609693107614286182042800896108541665389955905159774557849297027751423571441926346749853161484541502827223429552554250380764396273666011939767242981376) (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))) |
(if (<=.f64 beta 3293999539098269/4503599627370496) (+.f64 1/12 (*.f64 -1/36 alpha)) (/.f64 1 (*.f64 beta beta))) |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
1/12 |
| Outputs |
|---|
(if (<=.f64 beta 10725411168713127790024774960002278099492441948160) (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (+.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (*.f64 2 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))) |
(if (<=.f64 beta 10725411168713127790024774960002278099492441948160) (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (*.f64 2 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 1 (+.f64 (+.f64 beta alpha) 2)))) |
(if (<=.f64 beta 10725411168713127790024774960002278099492441948160) (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))) |
(if (<=.f64 beta 10725411168713127790024774960002278099492441948160) (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 beta alpha) 3)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 1 (+.f64 (+.f64 beta alpha) 2)))) |
(if (<=.f64 beta 147253591739851183944828060705955426100149252050579912058043012703277047450699708693841671888721153368158581513142540918428200595706503221959720960) (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))) |
(if (<=.f64 beta 147253591739851183944828060705955426100149252050579912058043012703277047450699708693841671888721153368158581513142540918428200595706503221959720960) (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 1 (+.f64 (+.f64 beta alpha) 2)))) |
(if (<=.f64 beta 4769126052476525/1073741824) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))) |
(if (<=.f64 beta 4769126052476525/1073741824) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta 4)))) (+.f64 1 (+.f64 (+.f64 beta alpha) 2))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 1 (+.f64 (+.f64 beta alpha) 2)))) |
(if (<=.f64 beta 4769126052476525/1073741824) (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))) |
(if (<=.f64 beta 4769126052476525/1073741824) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 1 (+.f64 (+.f64 beta alpha) 2)))) |
(if (<=.f64 beta 4769126052476525/1073741824) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))) |
(if (<=.f64 beta 4769126052476525/1073741824) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 1 (+.f64 (+.f64 beta alpha) 2)))) |
(if (<=.f64 beta 4769126052476525/1073741824) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))) |
(if (<=.f64 beta 4769126052476525/1073741824) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta 4))) (+.f64 beta 3))) (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 1 beta))) |
(if (<=.f64 beta 3293999539098269/4503599627370496) (/.f64 1/4 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) (*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))) |
(if (<=.f64 beta 3293999539098269/4503599627370496) (/.f64 1/4 (+.f64 1 (+.f64 (+.f64 beta alpha) 2))) (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 1 beta))) |
(if (<=.f64 beta 3293999539098269/4503599627370496) (+.f64 1/12 (*.f64 -1/36 alpha)) (*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))) |
(if (<=.f64 beta 3293999539098269/4503599627370496) (+.f64 1/12 (*.f64 alpha -1/36)) (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 1 beta))) |
(if (<=.f64 beta 3293999539098269/4503599627370496) (+.f64 1/12 (*.f64 -1/36 alpha)) (/.f64 (+.f64 1 alpha) (*.f64 beta beta))) |
(if (<=.f64 beta 3293999539098269/4503599627370496) (+.f64 1/12 (*.f64 alpha -1/36)) (/.f64 (+.f64 alpha 1) (*.f64 beta beta))) |
(if (<=.f64 beta 3293999539098269/4503599627370496) (+.f64 1/12 (*.f64 -1/36 alpha)) (if (<=.f64 beta 609693107614286182042800896108541665389955905159774557849297027751423571441926346749853161484541502827223429552554250380764396273666011939767242981376) (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))) |
(if (<=.f64 beta 3293999539098269/4503599627370496) (+.f64 1/12 (*.f64 alpha -1/36)) (if (<=.f64 beta 609693107614286182042800896108541665389955905159774557849297027751423571441926346749853161484541502827223429552554250380764396273666011939767242981376) (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta))) |
(if (<=.f64 beta 3293999539098269/4503599627370496) (+.f64 1/12 (*.f64 -1/36 alpha)) (/.f64 1 (*.f64 beta beta))) |
(if (<=.f64 beta 3293999539098269/4503599627370496) (+.f64 1/12 (*.f64 alpha -1/36)) (/.f64 1 (*.f64 beta beta))) |
(+.f64 1/12 (*.f64 -1/36 alpha)) |
(+.f64 1/12 (*.f64 alpha -1/36)) |
1/12 |
Compiled 397 to 285 computations (28.2% saved)
| 1× | egg-herbie |
| 681× | distribute-rgt-in_binary64 |
| 661× | distribute-lft-in_binary64 |
| 485× | associate-*l*_binary64 |
| 473× | associate-/l/_binary64 |
| 389× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 40 |
| 1 | 36 | 38 |
| 2 | 117 | 38 |
| 3 | 624 | 37 |
| 4 | 4304 | 37 |
| 5 | 4993 | 37 |
| 6 | 5254 | 37 |
| 7 | 5793 | 37 |
| 8 | 6311 | 37 |
| 9 | 6324 | 37 |
| 10 | 6554 | 37 |
| 11 | 6681 | 37 |
| 12 | 6824 | 37 |
| 13 | 7124 | 37 |
| 14 | 7928 | 37 |
| 1× | node limit |
Compiled 798 to 552 computations (30.8% saved)
Compiled 483 to 327 computations (32.3% saved)
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