Time bar (total: 11.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 56.2% | 43.8% | 0% | 0% | 0% | 0 |
| 0% | 0% | 56.2% | 43.8% | 0% | 0% | 0% | 1 |
| 0% | 0% | 56.2% | 43.8% | 0% | 0% | 0% | 2 |
| 25% | 14% | 42.1% | 43.8% | 0% | 0% | 0% | 3 |
| 37.5% | 21.1% | 35.1% | 43.8% | 0% | 0% | 0% | 4 |
| 56.3% | 31.6% | 24.6% | 43.8% | 0% | 0% | 0% | 5 |
| 65.6% | 36.9% | 19.3% | 43.8% | 0% | 0% | 0% | 6 |
| 76.6% | 43% | 13.2% | 43.8% | 0% | 0% | 0% | 7 |
| 82% | 46.1% | 10.1% | 43.8% | 0% | 0% | 0% | 8 |
| 87.9% | 49.4% | 6.8% | 43.8% | 0% | 0% | 0% | 9 |
| 90.8% | 51% | 5.2% | 43.8% | 0% | 0% | 0% | 10 |
| 93.8% | 52.7% | 3.5% | 43.8% | 0% | 0% | 0% | 11 |
| 95.4% | 53.6% | 2.6% | 43.8% | 0% | 0% | 0% | 12 |
Compiled 22 to 16 computations (27.3% saved)
| 1.1s | 6520× | body | 256 | valid |
| 692.0ms | 1068× | body | 1024 | valid |
| 110.0ms | 593× | body | 512 | valid |
| 53.0ms | 75× | body | 2048 | valid |
| 2× | egg-herbie |
| 1084× | fma-neg |
| 902× | associate-+l- |
| 768× | div-sub |
| 742× | associate--l- |
| 622× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 74 |
| 1 | 41 | 74 |
| 2 | 64 | 74 |
| 3 | 110 | 74 |
| 4 | 200 | 74 |
| 5 | 438 | 66 |
| 6 | 956 | 66 |
| 7 | 2718 | 66 |
| 8 | 5961 | 66 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) 2 4))) |
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2)))) 2) |
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2))) 2) |
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) 2 4))) |
Compiled 17 to 13 computations (23.5% saved)
| 1× | egg-herbie |
| 982× | associate-/l* |
| 722× | fma-def |
| 710× | distribute-lft-in |
| 708× | associate-+l- |
| 618× | associate--l- |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 37 |
| 1 | 25 | 37 |
| 2 | 41 | 37 |
| 3 | 69 | 37 |
| 4 | 117 | 37 |
| 5 | 255 | 33 |
| 6 | 463 | 33 |
| 7 | 845 | 33 |
| 8 | 1720 | 33 |
| 9 | 3940 | 33 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2) |
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) 2 4))) |
(-.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) -2 -4))) |
Compiled 65 to 39 computations (40% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 | 1 | 5 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 5 | 1 | 6 |
| Status | Error | Program |
|---|---|---|
| ▶ | 14.2b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
Compiled 15 to 11 computations (26.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) |
| ✓ | 1.2b | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
Compiled 50 to 23 computations (54% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
| 1.0ms | alpha | @ | inf | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
| 1.0ms | beta | @ | 0 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
| 1.0ms | alpha | @ | -inf | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
| 1.0ms | beta | @ | 0 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) |
| 1× | batch-egg-rewrite |
| 1652× | associate-/l* |
| 1468× | associate-/r/ |
| 762× | associate-/l/ |
| 280× | +-commutative |
| 274× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 56 |
| 1 | 259 | 56 |
| 2 | 3844 | 56 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 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| 1× | egg-herbie |
| 924× | distribute-lft-in |
| 812× | distribute-rgt-in |
| 734× | *-commutative |
| 724× | +-commutative |
| 570× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 608 | 12724 |
| 1 | 2161 | 12284 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(/.f64 beta (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))) |
-1 |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2)))) 1) |
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 0) |
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1) |
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
(-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(*.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1) |
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(*.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1)) (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 3) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) |
(/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (-.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 3) 1) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1) |
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3) |
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3)) |
(expm1.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) |
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) |
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 0) |
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) |
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(+.f64 (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) |
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1) |
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) |
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1)) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2) |
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 1)) |
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) |
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (-.f64 -2 (+.f64 beta alpha)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (*.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (*.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 1 (-.f64 -2 (+.f64 beta alpha))) (neg.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (+.f64 beta (+.f64 alpha 2))) (cbrt.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (neg.f64 (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (-.f64 (-.f64 2 beta) alpha)) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (+.f64 (*.f64 beta beta) (-.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)) (*.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2))) (cbrt.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2))) |
(*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) 1) (neg.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 1) (/.f64 1 (+.f64 beta alpha))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (-.f64 beta alpha)) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta alpha) (/.f64 1 (-.f64 beta alpha)))) (-.f64 beta alpha)) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta alpha) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (-.f64 beta alpha)))) (sqrt.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta alpha) (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (-.f64 beta alpha)))) (cbrt.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (neg.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (-.f64 alpha beta)) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (neg.f64 (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))))) (-.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 alpha (+.f64 beta alpha)) 3))) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (-.f64 (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))) (*.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (sqrt.f64 (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (cbrt.f64 (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (-.f64 alpha 2))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 beta (-.f64 alpha 2)))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) |
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1) |
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3) |
(neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
| Outputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (*.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta beta))) (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) |
(fma.f64 -1 (/.f64 (*.f64 (+.f64 alpha 1) 2) beta) 2) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 (+.f64 alpha 1) 2) beta) 2) (+.f64 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) |
(-.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 (+.f64 alpha 1) 2) beta) 2) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 beta 3) alpha))) (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (fma.f64 -1 (*.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 alpha 2)) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 (neg.f64 (+.f64 (*.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 alpha 2)) (/.f64 alpha beta))) (-.f64 (+.f64 2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (/.f64 beta (+.f64 2 beta))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta)))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))))) |
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(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))) |
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))))) |
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
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(-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) |
(-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
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(+.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (neg.f64 beta) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha)))) (+.f64 (+.f64 (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) (neg.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))) |
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) |
(/.f64 (neg.f64 (fma.f64 -1 beta (-.f64 -2 beta))) alpha) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) |
(*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) |
(fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 4)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 4)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))))) |
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) |
(/.f64 (neg.f64 alpha) (+.f64 alpha 2)) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) |
(fma.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) |
(fma.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) |
(fma.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 1)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 (neg.f64 (+.f64 (*.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 alpha 2)) (/.f64 alpha beta))) (-.f64 (-.f64 1 (/.f64 2 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 (neg.f64 (+.f64 (*.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 alpha 2)) (/.f64 alpha beta))) (-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 1)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 (neg.f64 (+.f64 (*.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 alpha 2)) (/.f64 alpha beta))) (-.f64 (-.f64 1 (/.f64 2 beta)) (/.f64 alpha beta))) |
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(/.f64 beta (+.f64 beta 2)) |
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-1 |
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(-.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1)) |
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-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1) |
(fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) -1) |
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(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2) |
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2) |
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(/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (-.f64 alpha beta))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (neg.f64 (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 (+.f64 alpha 2) beta)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (neg.f64 (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 alpha (+.f64 2 beta)))) (neg.f64 (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))))) (-.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha)))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 (+.f64 alpha 2) beta)) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (-.f64 (*.f64 beta (pow.f64 beta 3)) (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha beta) 2)))) (-.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 alpha beta)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 alpha (+.f64 2 beta))) (-.f64 (pow.f64 beta 4) (*.f64 alpha (*.f64 (pow.f64 (+.f64 alpha beta) 2) alpha)))) (-.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 alpha beta)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 alpha (+.f64 beta alpha)) 3))) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (-.f64 (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))) (*.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 alpha (+.f64 alpha beta)) 3)) (/.f64 1 (+.f64 (+.f64 alpha 2) beta)))) (+.f64 (*.f64 beta (pow.f64 beta 3)) (*.f64 (*.f64 alpha (+.f64 alpha beta)) (-.f64 (*.f64 alpha (+.f64 alpha beta)) (*.f64 beta beta))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 (+.f64 (pow.f64 beta 6) (pow.f64 (*.f64 alpha (+.f64 alpha beta)) 3)) (+.f64 alpha (+.f64 2 beta)))) (+.f64 (pow.f64 beta 4) (*.f64 alpha (*.f64 (+.f64 alpha beta) (-.f64 (*.f64 alpha (+.f64 alpha beta)) (*.f64 beta beta)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (sqrt.f64 (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta)))) (sqrt.f64 (+.f64 beta (+.f64 alpha -2)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) (sqrt.f64 (+.f64 alpha (+.f64 -2 beta)))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (cbrt.f64 (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2))) (cbrt.f64 (+.f64 beta (+.f64 alpha -2)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) (cbrt.f64 (+.f64 alpha (+.f64 -2 beta)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))) (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (*.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 beta (-.f64 alpha 2)))) |
(/.f64 (*.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 beta (+.f64 alpha -2)))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) |
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (/.f64 (*.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (+.f64 -2 beta))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2))) |
(*.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) |
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) |
(/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (-.f64 alpha 2))) |
(*.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) |
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) |
(/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (*.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))))) |
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))) (/.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (*.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))))) |
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))) (/.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) |
(/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 (-.f64 -2 beta) alpha)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
Compiled 12222 to 7914 computations (35.2% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 343 | 11 | 354 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 343 | 12 | 355 |
| Status | Error | Program |
|---|---|---|
| 14.3b | (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2) | |
| ▶ | 47.2b | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
| ▶ | 14.1b | (/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3))))) 2) |
| ▶ | 14.2b | (/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2) |
| 33.3b | (/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) 2) | |
| 32.4b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) | |
| ✓ | 14.2b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
| ▶ | 15.9b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| 61.7b | (/.f64 (+.f64 -1 1) 2) | |
| 48.4b | (/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2) | |
| 47.2b | (/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2) | |
| ▶ | 38.4b | (/.f64 2 2) |
Compiled 481 to 351 computations (27% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6) |
| ✓ | 1.1b | (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3) 3)) |
| ✓ | 2.6b | (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) |
| ✓ | 2.6b | (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
Compiled 342 to 205 computations (40.1% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | alpha | @ | inf | (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3) 3)) |
| 13.0ms | alpha | @ | -inf | (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3) 3)) |
| 9.0ms | beta | @ | inf | (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3) 3)) |
| 9.0ms | alpha | @ | 0 | (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3) 3)) |
| 6.0ms | beta | @ | 0 | (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3) 3)) |
| 1× | batch-egg-rewrite |
| 1438× | associate-/r/ |
| 460× | +-commutative |
| 446× | associate-+l+ |
| 436× | add-sqr-sqrt |
| 420× | *-un-lft-identity |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 136 |
| 1 | 436 | 136 |
| 2 | 6111 | 136 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) |
(+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3) 3)) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6) |
| Outputs |
|---|
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beta beta)) 3)) (pow.f64 (-.f64 (+.f64 alpha 2) beta) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (pow.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) 3)) (pow.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (-.f64 beta alpha) 3)) (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (-.f64 beta alpha) 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 18))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 6 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 6 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))))))) |
| 1× | egg-herbie |
| 1310× | associate-/r* |
| 998× | +-commutative |
| 784× | *-commutative |
| 782× | associate-*r/ |
| 634× | fma-def |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1456 | 58038 |
| 1 | 5313 | 57882 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))))))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))))) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))))) |
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
(-.f64 (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 beta 4))))))) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4))))) |
(-.f64 1 (/.f64 beta (+.f64 beta 2))) |
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha))) (/.f64 beta (+.f64 beta 2))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))))) (/.f64 beta (+.f64 beta 2))) |
2 |
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))) |
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) |
2 |
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 beta 2) (*.f64 -1 beta)) alpha))) |
(+.f64 2 (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 beta 2) (*.f64 -1 beta)) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) |
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 beta 2) (*.f64 -1 beta)) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) |
(-.f64 1 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)))) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))) (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) alpha) (+.f64 2 alpha))))))) (*.f64 -1 (*.f64 beta (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))))))) (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))) (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) alpha) (+.f64 2 alpha))))))) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) alpha) (+.f64 2 alpha))) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) alpha) (+.f64 2 alpha))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha)) (+.f64 2 alpha))) (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))) (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)))))))))) (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)))) |
(/.f64 (-.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) (+.f64 (*.f64 -2 alpha) (*.f64 -1 alpha))) beta) |
(-.f64 (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 6 (/.f64 1 beta)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)))) (pow.f64 beta 2)))))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -2 (/.f64 alpha beta)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 6 (/.f64 1 beta)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha)))))) (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -2 (*.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (+.f64 2 alpha))))))) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)))) (pow.f64 beta 2))))))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -2 (/.f64 alpha beta)))) |
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(/.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta) |
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(-.f64 1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) |
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2 |
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2 |
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2 |
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1 |
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1 |
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(/.f64 (pow.f64 beta 6) (pow.f64 (+.f64 beta 2) 6)) |
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1 |
(+.f64 1 (*.f64 -2 (/.f64 (-.f64 (+.f64 beta (*.f64 2 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))) (*.f64 -1 (+.f64 beta 2))) alpha))) |
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1 |
(+.f64 1 (*.f64 2 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 2 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (+.f64 beta 2)) alpha))) |
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(+.f64 1 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) |
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9)))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 18)) (/.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9)))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 27)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 18)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9)))) |
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 18))) |
(*.f64 (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 18)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 27))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 18)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 18))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 18)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 27))) (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 18)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 27)) (-.f64 1 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 18) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9)) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 18) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9))))) (+.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 18)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 27)) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 18) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9)) 3))) (+.f64 1 (-.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 18) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9)) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 18) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9))) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 18) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9))))) |
(/.f64 1 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 18)))) |
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 18)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9)) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 27)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 18)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 27)) (-.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 18)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 18) 1) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9) 1)) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 18))) (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9)))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 27))) (neg.f64 (-.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 18)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9)))) |
(pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9)) 1) |
(pow.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9/2)) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9)) 2)) |
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9)) 3)) |
(expm1.f64 (log.f64 (+.f64 2 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9)))) |
(exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9))) |
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9)) 1)) |
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9)))) |
(fma.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9) 1) |
(fma.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6) 1) |
(fma.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1) |
(fma.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9/2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9/2) 1) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))) 1) |
(*.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) |
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) |
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6) 1) |
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9/2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3/2)) |
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3/2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9/2)) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 12)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) |
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 12))) |
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) |
(*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) |
(*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (pow.f64 (-.f64 beta alpha) 6) (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 6)) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 6) (pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 6)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) 6) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 6)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (-.f64 beta alpha) 3)) (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) (-.f64 (+.f64 alpha 2) beta)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (-.f64 beta alpha) 3)) (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (-.f64 beta alpha) 3)) (pow.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) 3)) (pow.f64 (-.f64 (+.f64 alpha 2) beta) 3)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (-.f64 beta alpha) 3)) (pow.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) 3)) (pow.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2)))) 3)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) (-.f64 (+.f64 alpha 2) beta)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (pow.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) 3)) (pow.f64 (-.f64 (+.f64 alpha 2) beta) 3)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (pow.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) 3)) (pow.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2)))) 3)) |
(/.f64 (*.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (-.f64 beta alpha) 3)) (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))) |
(/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (-.f64 beta alpha) 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) |
(/.f64 (*.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 12)) |
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 18)) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))) |
(exp.f64 (*.f64 6 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(exp.f64 (*.f64 (*.f64 6 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))) |
| Outputs |
|---|
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 1) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))) |
(+.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) 1) (*.f64 (neg.f64 beta) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 (neg.f64 beta) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))))))) |
(+.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) 1) (fma.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (*.f64 (*.f64 beta beta) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)))))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (fma.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (*.f64 (*.f64 beta beta) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3))))))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))))) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))))) |
(+.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) 1) (fma.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3))) (neg.f64 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (fma.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3))) (neg.f64 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))))))))) |
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
(/.f64 (+.f64 2 (*.f64 alpha 2)) beta) |
(-.f64 (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))) |
(-.f64 (fma.f64 2 (/.f64 alpha beta) (+.f64 (/.f64 2 beta) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3))))) |
(-.f64 (fma.f64 2 (/.f64 alpha beta) (+.f64 (/.f64 2 beta) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 beta 4))))))) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) |
(-.f64 (fma.f64 2 (/.f64 alpha beta) (+.f64 (/.f64 2 beta) (+.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 beta 4)))))) (+.f64 (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (/.f64 (pow.f64 beta 4) alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))) |
(-.f64 (fma.f64 2 (/.f64 alpha beta) (+.f64 (/.f64 2 beta) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 beta 4))))))) (+.f64 (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (/.f64 (pow.f64 beta 4) alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) |
(/.f64 (neg.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) beta) |
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2 |
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2 |
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(-.f64 1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) |
(-.f64 1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) |
(+.f64 1 (-.f64 (neg.f64 (*.f64 alpha (*.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) -3))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)))) |
(+.f64 1 (-.f64 (neg.f64 (*.f64 alpha (/.f64 (*.f64 (*.f64 beta beta) -3) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (+.f64 beta 2))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha)))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) |
(+.f64 1 (-.f64 (*.f64 -1 (+.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (/.f64 (*.f64 2 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (pow.f64 (+.f64 2 beta) 2))))) (fma.f64 2 (/.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))) (*.f64 alpha (*.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) -3)))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)))) |
(+.f64 1 (-.f64 (*.f64 -1 (+.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))))) (fma.f64 2 (/.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))) (*.f64 alpha (/.f64 (*.f64 (*.f64 beta beta) -3) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (+.f64 beta 2))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (/.f64 (*.f64 beta (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (+.f64 beta 2))) (*.f64 -2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 2))))) (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 3)))))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) |
(+.f64 1 (-.f64 (fma.f64 -1 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (/.f64 (*.f64 2 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (pow.f64 (+.f64 2 beta) 2))))) (fma.f64 2 (/.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))) (*.f64 -1 (+.f64 (*.f64 alpha (*.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) -3)) (*.f64 (pow.f64 alpha 3) (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (/.f64 (*.f64 2 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (pow.f64 (+.f64 2 beta) 2)))) (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (*.f64 -2 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (+.f64 2 beta)) (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))))))) (fma.f64 -1 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (*.f64 -2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))))))))))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)))) |
(+.f64 1 (-.f64 (fma.f64 -1 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))))) (fma.f64 2 (/.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))) (*.f64 -1 (+.f64 (*.f64 alpha (/.f64 (*.f64 (*.f64 beta beta) -3) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (*.f64 (pow.f64 alpha 3) (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))) (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (*.f64 -2 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (+.f64 2 beta)) (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))))))) (fma.f64 -1 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (/.f64 (*.f64 -2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2)))))))))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 2) (+.f64 (*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (/.f64 beta alpha))) |
(-.f64 (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 2) (fma.f64 2 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) (/.f64 beta alpha))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (+.f64 (*.f64 -1 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2))) (*.f64 -2 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)))) (pow.f64 alpha 2))) 2)) (+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)))) |
(-.f64 (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (fma.f64 -1 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (*.f64 -2 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)))) (*.f64 alpha alpha)) 2)) (fma.f64 2 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) (/.f64 beta alpha))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (+.f64 (*.f64 -1 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2))) (*.f64 -2 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (-.f64 beta (*.f64 -1 (+.f64 beta 2)))) (*.f64 -1 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))))))) (pow.f64 alpha 3))) 2))) (+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)))) |
(-.f64 (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (fma.f64 -1 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (*.f64 -2 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)))) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (pow.f64 (+.f64 2 beta) 2) (fma.f64 2 (*.f64 (+.f64 2 beta) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (fma.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (-.f64 beta (+.f64 (neg.f64 beta) -2)) (neg.f64 (*.f64 -2 (+.f64 (*.f64 (+.f64 2 beta) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (+.f64 (neg.f64 beta) -2))))))))) (pow.f64 alpha 3)) 2))) (fma.f64 2 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) (/.f64 beta alpha))) |
2 |
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 beta 2) (+.f64 (*.f64 -1 beta) (*.f64 2 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))))) alpha))) |
(+.f64 2 (neg.f64 (/.f64 (+.f64 beta (-.f64 2 (fma.f64 -1 beta (*.f64 2 (-.f64 (neg.f64 beta) (+.f64 2 beta)))))) alpha))) |
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 (-.f64 beta (fma.f64 -1 beta (*.f64 2 (-.f64 (neg.f64 beta) (+.f64 2 beta)))))) alpha))) |
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))) (*.f64 -2 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)))) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (+.f64 beta 2) (+.f64 (*.f64 -1 beta) (*.f64 2 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))))) alpha)))) |
(+.f64 2 (*.f64 -1 (+.f64 (/.f64 (fma.f64 -1 (fma.f64 -2 (*.f64 (+.f64 2 beta) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)) (fma.f64 -2 (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2) (*.f64 (+.f64 2 beta) (-.f64 (neg.f64 beta) (+.f64 2 beta))))) (*.f64 alpha alpha)) (/.f64 (+.f64 beta (-.f64 2 (fma.f64 -1 beta (*.f64 2 (-.f64 (neg.f64 beta) (+.f64 2 beta)))))) alpha)))) |
(+.f64 2 (*.f64 -1 (+.f64 (/.f64 (fma.f64 -1 (fma.f64 -2 (*.f64 (+.f64 2 beta) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)) (fma.f64 -2 (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2) (*.f64 (+.f64 2 beta) (-.f64 (neg.f64 beta) (+.f64 2 beta))))) (*.f64 alpha alpha)) (/.f64 (+.f64 2 (-.f64 beta (fma.f64 -1 beta (*.f64 2 (-.f64 (neg.f64 beta) (+.f64 2 beta)))))) alpha)))) |
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2 |
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1 |
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1 |
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(/.f64 (pow.f64 beta 6) (pow.f64 (+.f64 beta 2) 6)) |
(/.f64 (pow.f64 beta 6) (pow.f64 (+.f64 2 beta) 6)) |
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(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 beta 3) (*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha)) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) 2) (*.f64 2 (/.f64 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (+.f64 beta 2))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 3))))) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 (pow.f64 beta 6) (pow.f64 (+.f64 beta 2) 6)))) |
(fma.f64 2 (/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha (*.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) -3)))) (fma.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) -3) 2) (/.f64 (*.f64 2 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (/.f64 (*.f64 2 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (pow.f64 (+.f64 2 beta) 2))))) (fma.f64 2 (/.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))))) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 (pow.f64 beta 6) (pow.f64 (+.f64 2 beta) 6)))) |
(fma.f64 2 (/.f64 (pow.f64 beta 3) (/.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (/.f64 (*.f64 (*.f64 beta beta) -3) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) alpha)) (fma.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 beta beta) -3) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) 2) (/.f64 (*.f64 2 (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))))) (fma.f64 2 (/.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))))) (*.f64 alpha alpha) (/.f64 (pow.f64 beta 6) (pow.f64 (+.f64 2 beta) 6)))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 beta 3) (*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha)) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) 2) (*.f64 2 (/.f64 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (+.f64 beta 2))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 3))))) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 beta 6) (pow.f64 (+.f64 beta 2) 6)) (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (+.f64 beta 2))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (/.f64 (*.f64 beta (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (+.f64 beta 2))) (*.f64 -2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 2))))) (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 beta 3)) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (+.f64 (/.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (+.f64 beta 2))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))))))) (pow.f64 alpha 3))))) |
(fma.f64 2 (/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha (*.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) -3)))) (+.f64 (fma.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) -3) 2) (/.f64 (*.f64 2 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (/.f64 (*.f64 2 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (pow.f64 (+.f64 2 beta) 2))))) (fma.f64 2 (/.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))))) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 (pow.f64 beta 6) (pow.f64 (+.f64 2 beta) 6))) (*.f64 (pow.f64 alpha 3) (fma.f64 (*.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) -3) (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (/.f64 (*.f64 2 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (pow.f64 (+.f64 2 beta) 2))))) (fma.f64 2 (/.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (fma.f64 2 (/.f64 (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (/.f64 (*.f64 2 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (pow.f64 (+.f64 2 beta) 2)))) (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (*.f64 -2 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (+.f64 2 beta)) (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))))))) (fma.f64 -1 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (*.f64 -2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))))))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 beta 3))) (*.f64 (*.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) -3) (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (/.f64 (*.f64 2 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (pow.f64 (+.f64 2 beta) 2))))) (fma.f64 2 (/.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))))))))) |
(fma.f64 2 (/.f64 (pow.f64 beta 3) (/.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (/.f64 (*.f64 (*.f64 beta beta) -3) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) alpha)) (+.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 beta beta) -3) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) 2) (/.f64 (*.f64 2 (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))))) (fma.f64 2 (/.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))))) (*.f64 alpha alpha) (/.f64 (pow.f64 beta 6) (pow.f64 (+.f64 2 beta) 6))) (*.f64 (pow.f64 alpha 3) (fma.f64 (/.f64 (*.f64 (*.f64 beta beta) -3) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))))) (fma.f64 2 (/.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (fma.f64 2 (/.f64 (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))) (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (*.f64 -2 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (+.f64 2 beta)) (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))))))) (fma.f64 -1 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (/.f64 (*.f64 -2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2)))))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 beta 3))) (*.f64 (/.f64 (*.f64 (*.f64 beta beta) -3) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))))) (fma.f64 2 (/.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))))))))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 (-.f64 (+.f64 beta (*.f64 2 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))) (*.f64 -1 (+.f64 beta 2))) alpha))) |
(+.f64 1 (*.f64 -2 (/.f64 (+.f64 beta (-.f64 (*.f64 2 (-.f64 beta (+.f64 (neg.f64 beta) -2))) (+.f64 (neg.f64 beta) -2))) alpha))) |
(+.f64 1 (*.f64 -2 (/.f64 (+.f64 (*.f64 2 (-.f64 beta (+.f64 (neg.f64 beta) -2))) (-.f64 beta (+.f64 (neg.f64 beta) -2))) alpha))) |
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1 |
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(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
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(*.f64 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) |
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(*.f64 (/.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 6) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 3)) (pow.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) 3)) (pow.f64 (+.f64 alpha (-.f64 2 beta)) 3)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (-.f64 beta alpha) 3)) (pow.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) 3)) (pow.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2)))) 3)) |
(*.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3) (/.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) 3) (pow.f64 (-.f64 beta alpha) 3))) (pow.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2)))) 3)) |
(*.f64 (/.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 6) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 3)) (pow.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) 3)) (pow.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2)))) 3)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) (-.f64 (+.f64 alpha 2) beta)) |
(*.f64 (*.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) (+.f64 alpha (-.f64 2 beta))) |
(/.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 6) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 3)) (+.f64 alpha (-.f64 2 beta))) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2))))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 6) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 3)) (*.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (pow.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) 3)) (pow.f64 (-.f64 (+.f64 alpha 2) beta) 3)) |
(*.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3) (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) 3) (pow.f64 (-.f64 beta alpha) 3))) (pow.f64 (+.f64 alpha (-.f64 2 beta)) 3)) |
(*.f64 (/.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 6) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 3)) (pow.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) 3)) (pow.f64 (+.f64 alpha (-.f64 2 beta)) 3)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (pow.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) 3)) (pow.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2)))) 3)) |
(*.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3) (/.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) 3) (pow.f64 (-.f64 beta alpha) 3))) (pow.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2)))) 3)) |
(*.f64 (/.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 6) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 3)) (pow.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) 3)) (pow.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2)))) 3)) |
(/.f64 (*.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (-.f64 beta alpha) 3)) (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 6) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6) |
(/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (-.f64 beta alpha) 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 6) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6) |
(/.f64 (*.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 6) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 12)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 12)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 12)) |
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 6) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 6) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 18)) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 18)) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 18)) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 6) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6) |
(exp.f64 (*.f64 6 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(pow.f64 (exp.f64 6) (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) |
(pow.f64 (exp.f64 6) (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(exp.f64 (*.f64 (*.f64 6 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1)) |
(pow.f64 (exp.f64 6) (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) |
(pow.f64 (exp.f64 6) (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 6) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6) |
Compiled 6 to 6 computations (0% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 beta (+.f64 beta 2)) 1) |
| ✓ | 0.0b | (/.f64 beta (+.f64 beta 2)) |
Compiled 29 to 21 computations (27.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | beta | @ | inf | (/.f64 beta (+.f64 beta 2)) |
| 0.0ms | beta | @ | 0 | (/.f64 beta (+.f64 beta 2)) |
| 0.0ms | beta | @ | -inf | (/.f64 beta (+.f64 beta 2)) |
| 0.0ms | beta | @ | -inf | (+.f64 (/.f64 beta (+.f64 beta 2)) 1) |
| 0.0ms | beta | @ | inf | (+.f64 (/.f64 beta (+.f64 beta 2)) 1) |
| 1× | batch-egg-rewrite |
| 1986× | add-sqr-sqrt |
| 1962× | *-un-lft-identity |
| 1846× | add-cube-cbrt |
| 1832× | add-cbrt-cube |
| 178× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 1 | 180 | 32 |
| 2 | 2431 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 beta (+.f64 beta 2)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (*.f64 (/.f64 1 (+.f64 beta 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 2)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta 2) beta) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1))))) |
| 1× | egg-herbie |
| 992× | fma-def |
| 832× | times-frac |
| 784× | associate-/l* |
| 770× | unswap-sqr |
| 644× | associate-*r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 197 | 2706 |
| 1 | 481 | 2460 |
| 2 | 1722 | 2280 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 beta) |
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2))) |
(+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))) |
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
1 |
(+.f64 1 (*.f64 1/2 beta)) |
(+.f64 1 (+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(*.f64 beta (/.f64 1 (+.f64 beta 2))) |
(*.f64 beta (*.f64 (/.f64 1 (+.f64 beta 2)) 1)) |
(*.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(*.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2)))) |
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (+.f64 beta 2)) beta) |
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2)) |
(*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))) |
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2))) |
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2) |
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3) |
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1) |
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3) |
(neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2))) |
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) |
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta 2))))) |
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) |
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2)))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) 1) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(*.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(*.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2))))) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 3) |
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1) |
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1) |
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1) |
| Outputs |
|---|
(*.f64 1/2 beta) |
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2))) |
(fma.f64 1/2 beta (*.f64 -1/4 (*.f64 beta beta))) |
(fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/2 beta)) |
(*.f64 beta (+.f64 1/2 (*.f64 beta -1/4))) |
(+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))) |
(fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3)))) |
(fma.f64 1/2 beta (*.f64 (*.f64 beta beta) (+.f64 -1/4 (*.f64 beta 1/8)))) |
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))) |
(fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3))))) |
(fma.f64 1/2 beta (fma.f64 -1/16 (pow.f64 beta 4) (*.f64 (*.f64 beta beta) (+.f64 -1/4 (*.f64 beta 1/8))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 beta))) |
(-.f64 1 (/.f64 2 beta)) |
(+.f64 1 (/.f64 -2 beta)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))) |
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 -2 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))) |
(-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta))) (/.f64 8 (pow.f64 beta 3))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 4 beta) beta) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 beta))) |
(-.f64 1 (/.f64 2 beta)) |
(+.f64 1 (/.f64 -2 beta)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))) |
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 -2 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))) |
(-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta))) (/.f64 8 (pow.f64 beta 3))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 4 beta) beta) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3))))) |
1 |
(+.f64 1 (*.f64 1/2 beta)) |
(+.f64 (*.f64 1/2 beta) 1) |
(fma.f64 1/2 beta 1) |
(+.f64 1 (+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2)))) |
(+.f64 (fma.f64 1/2 beta (*.f64 -1/4 (*.f64 beta beta))) 1) |
(+.f64 (*.f64 beta (*.f64 beta -1/4)) (fma.f64 1/2 beta 1)) |
(fma.f64 1/2 beta (fma.f64 beta (*.f64 beta -1/4) 1)) |
(+.f64 1 (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))) |
(+.f64 (fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3)))) 1) |
(+.f64 (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3))) (fma.f64 1/2 beta 1)) |
(+.f64 (*.f64 beta (+.f64 1/2 (*.f64 beta -1/4))) (fma.f64 1/8 (pow.f64 beta 3) 1)) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 2 (/.f64 -2 beta)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))) |
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 2 (/.f64 -2 beta))) |
(+.f64 2 (+.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 -2 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 2 (-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 (+.f64 2 (/.f64 (/.f64 4 beta) beta)) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3)))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 2 (/.f64 -2 beta)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))) |
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 2 (/.f64 -2 beta))) |
(+.f64 2 (+.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 -2 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 2 (-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 (+.f64 2 (/.f64 (/.f64 4 beta) beta)) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3)))) |
(-.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 beta (/.f64 1 (+.f64 beta 2))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 beta (*.f64 (/.f64 1 (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (/.f64 1 (+.f64 beta 2)) beta) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2))) |
(/.f64 (neg.f64 beta) (-.f64 -2 beta)) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2)))) |
(/.f64 (/.f64 beta (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2))) |
(/.f64 beta (*.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2)))) |
(/.f64 (/.f64 beta (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) |
(/.f64 beta (*.f64 (cbrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))) |
(*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2)) |
(*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))) |
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))) |
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta beta (+.f64 4 (*.f64 beta -2)))) |
(/.f64 beta (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (fma.f64 beta -2 4)))) |
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2)))) |
(/.f64 (/.f64 beta (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) |
(/.f64 beta (*.f64 (cbrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2)))) |
(/.f64 (/.f64 beta (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2))) |
(/.f64 beta (*.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))) |
(/.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 beta) 2))) |
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2))) |
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2))) |
(/.f64 (neg.f64 beta) (-.f64 -2 beta)) |
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta 2))))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) 1) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(*.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2))))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (*.f64 (/.f64 beta (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) 1)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1)) |
(/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (*.f64 (/.f64 beta (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) 1)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1)) |
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (*.f64 (/.f64 beta (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) 1)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1)) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2))))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (*.f64 (/.f64 beta (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) 1)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1)) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (*.f64 (/.f64 beta (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) 1)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1)) |
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) 2) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 3) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3) 1/3) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
Compiled 29 to 21 computations (27.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | alpha | @ | 0 | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 0.0ms | beta | @ | 0 | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 0.0ms | beta | @ | inf | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 0.0ms | alpha | @ | inf | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 0.0ms | alpha | @ | -inf | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 1× | batch-egg-rewrite |
| 1958× | add-sqr-sqrt |
| 1936× | *-un-lft-identity |
| 1814× | add-cube-cbrt |
| 1796× | add-cbrt-cube |
| 178× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 176 | 15 |
| 2 | 2351 | 15 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 beta 2) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 2 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (fma.f64 2 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))))))) |
| 1× | egg-herbie |
| 1000× | associate-+r+ |
| 782× | associate-+l+ |
| 750× | *-commutative |
| 578× | associate-*r/ |
| 400× | associate-*l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 972 |
| 1 | 214 | 960 |
| 2 | 838 | 732 |
| 3 | 3745 | 732 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 2 (/.f64 beta alpha)) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 2 (/.f64 beta alpha)) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) 1) |
(*.f64 (fma.f64 2 beta 2) (/.f64 1 alpha)) |
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1) |
(*.f64 1 (/.f64 (fma.f64 2 beta 2) alpha)) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))) |
(*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) |
(*.f64 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 (neg.f64 alpha))) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha)) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3) |
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1) |
(neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha))) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2)) |
(log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha)))) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
| Outputs |
|---|
(/.f64 2 alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(*.f64 (/.f64 2 alpha) beta) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(*.f64 (/.f64 2 alpha) beta) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) 1) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (fma.f64 2 beta 2) (/.f64 1 alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 1 (/.f64 (fma.f64 2 beta 2) alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 (neg.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha))) |
(/.f64 (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (fma.f64 2 beta 2) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha))) |
(/.f64 (fma.f64 2 beta 2) (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha))) |
(/.f64 (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (fma.f64 2 beta 2) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha))) |
(/.f64 (fma.f64 2 beta 2) (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 (cbrt.f64 alpha) 2)) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha)))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 1)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
| ✓ | 0.0b | (/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) |
| ✓ | 0.0b | (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) |
| ✓ | 1.2b | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
Compiled 82 to 50 computations (39% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | beta | @ | 0 | (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
| 2.0ms | alpha | @ | inf | (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
| 1.0ms | alpha | @ | 0 | (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
| 1.0ms | alpha | @ | -inf | (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
| 1.0ms | beta | @ | inf | (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
| 1× | batch-egg-rewrite |
| 1744× | associate-/l* |
| 1400× | associate-/r/ |
| 318× | +-commutative |
| 312× | add-sqr-sqrt |
| 302× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 124 |
| 1 | 315 | 124 |
| 2 | 4454 | 124 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) |
(/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) |
(/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2))) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 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alpha (+.f64 beta 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)))) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) 1) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) -1) (cbrt.f64 (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) 1)) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) 1) (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))))))) |
| 1× | egg-herbie |
| 1112× | *-commutative |
| 1016× | +-commutative |
| 1004× | associate-*r* |
| 958× | associate-/l* |
| 874× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 973 | 30070 |
| 1 | 3156 | 29928 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(/.f64 beta (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))) |
-1 |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2)))) 1) |
(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 -1 (*.f64 beta (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2))))))) |
(+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (*.f64 -1 (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 3))))))) (+.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 -1 (*.f64 beta (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))))))) |
(+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (*.f64 -1 (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 3))))))) (+.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (*.f64 -1 (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 3)))))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 3))))))))))) |
1/2 |
(+.f64 1/2 (*.f64 1/4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))) |
(+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 1/4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 (*.f64 2 alpha)))) (+.f64 (*.f64 1/4 (-.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 1/4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 2 (*.f64 2 alpha)))))) (pow.f64 beta 3))) (+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 1/4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))))) |
1/2 |
(+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) 1/2) |
(+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 1/2 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (*.f64 -1/4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)))) (pow.f64 beta 2))))) |
(+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 (*.f64 -1/8 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (*.f64 -1/4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))))) (pow.f64 beta 3))) (+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (*.f64 -1/4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)))) (pow.f64 beta 2))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (+.f64 2 alpha)) (pow.f64 beta 3))) (*.f64 -1/4 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)))))))) |
(/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) |
(+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)) (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2)))) |
(+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (-.f64 (*.f64 -1 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3)) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))))) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)) (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2))))) |
(/.f64 alpha (+.f64 2 (*.f64 2 beta))) |
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 (*.f64 2 beta))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2)))) |
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 (*.f64 2 beta))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) alpha))))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2)))) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (*.f64 (+.f64 2 (*.f64 2 beta)) alpha))))) |
(-.f64 (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 2 (*.f64 2 beta))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) alpha))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) alpha)) (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2)))) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (*.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (-.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2)) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2)))) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (+.f64 2 (*.f64 2 beta)))))) (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (-.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2))))) (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2))))))))) |
(*.f64 -1 (/.f64 alpha (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) |
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(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 1) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) (sqrt.f64 -1)) (sqrt.f64 (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2) 1) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2) -1) (cbrt.f64 (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1)) (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 3) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2))) 1) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2))) -1) (cbrt.f64 (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3))) (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)))) |
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1) |
(pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) -1) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 3) |
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 3)) |
(expm1.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) -1)) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))) |
(fma.f64 (-.f64 beta alpha) (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) 1) |
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) 1) |
(*.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))) |
(*.f64 1 (neg.f64 (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) |
(*.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 1) |
(*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2)) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) |
(*.f64 -1 (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))) |
(*.f64 (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) -1) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)) |
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3))) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) -1) (pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) -1)) |
(*.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1) (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)) 1)) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))) |
(*.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1) (-.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 3) 1)) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)) (+.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1)))) |
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2)))) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) |
(*.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1))) |
(*.f64 (/.f64 1 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) |
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2) 1) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2)) |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2)) 1) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2)) -1) (cbrt.f64 (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1))) |
(*.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)) |
(*.f64 (/.f64 -1 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)))) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) 1) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) -1) (cbrt.f64 (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1))) |
(*.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) 1)) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1)) |
(*.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) 1) (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1))) |
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1) |
(pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 1) |
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) |
(exp.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) -1)) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) |
| Outputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (*.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta beta))) (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (-.f64 (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))))) (/.f64 alpha (+.f64 alpha 2)))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (-.f64 (/.f64 alpha (/.f64 beta (/.f64 (+.f64 alpha 2) beta))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (-.f64 (+.f64 (/.f64 alpha (/.f64 beta (/.f64 (+.f64 alpha 2) beta))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 beta 3) alpha))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 beta (/.f64 (+.f64 alpha 2) beta))) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 beta 3)))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 beta (/.f64 (+.f64 alpha 2) beta))) (fma.f64 -1 (/.f64 alpha beta) 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (/.f64 beta (+.f64 2 beta))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta)))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))) |
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) |
(-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) |
(-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 beta (/.f64 alpha (/.f64 (+.f64 2 beta) alpha)))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
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(+.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 2 beta) alpha))) (/.f64 (neg.f64 beta) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))))) (+.f64 (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (neg.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))) (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3))))) |
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha)))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 2 beta) alpha))) (+.f64 (/.f64 (neg.f64 beta) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (/.f64 (pow.f64 alpha 4) beta)))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) |
(*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 4)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 4)) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))))))) |
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) |
(/.f64 (neg.f64 alpha) (+.f64 alpha 2)) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) |
(fma.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) |
(fma.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) |
(fma.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 1)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 beta (/.f64 (+.f64 alpha 2) beta))) (fma.f64 -1 (/.f64 alpha beta) 1)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 beta 3)))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 beta (/.f64 (+.f64 alpha 2) beta))) (fma.f64 -1 (/.f64 alpha beta) 1)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 1)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 beta (/.f64 (+.f64 alpha 2) beta))) (fma.f64 -1 (/.f64 alpha beta) 1)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 beta 3)))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 beta (/.f64 (+.f64 alpha 2) beta))) (fma.f64 -1 (/.f64 alpha beta) 1)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(/.f64 beta (+.f64 beta 2)) |
(/.f64 beta (+.f64 2 beta)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))) |
(fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) |
(fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha))))) |
(+.f64 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))) |
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)))))) |
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.f64 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha))))) |
-1 |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1)) |
(-.f64 (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(+.f64 (/.f64 beta alpha) (-.f64 (neg.f64 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1))) |
(+.f64 (/.f64 beta alpha) (-.f64 (/.f64 (*.f64 (+.f64 (neg.f64 beta) -2) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1))) |
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))))) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1)) |
(+.f64 (fma.f64 -1 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (/.f64 alpha (/.f64 (+.f64 2 beta) alpha))) (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))) (-.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1) |
(fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) -1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) 1) |
(+.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 2 beta) (/.f64 (*.f64 alpha alpha) (-.f64 (neg.f64 beta) (+.f64 2 beta))))) -1) |
(+.f64 -1 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 2 beta) (/.f64 (*.f64 alpha alpha) (-.f64 (neg.f64 beta) (+.f64 2 beta)))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2)))) 1) |
(+.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (+.f64 2 beta) (/.f64 (*.f64 alpha alpha) (-.f64 (neg.f64 beta) (+.f64 2 beta)))))) -1) |
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (-.f64 (neg.f64 beta) (+.f64 2 beta)))) (/.f64 (+.f64 2 beta) (/.f64 (*.f64 alpha alpha) (-.f64 (neg.f64 beta) (+.f64 2 beta))))) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) -1)) |
(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (*.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta beta))) (/.f64 alpha (+.f64 alpha 2))) |
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(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (-.f64 (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))))) (/.f64 alpha (+.f64 alpha 2)))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (-.f64 (/.f64 alpha (/.f64 beta (/.f64 (+.f64 alpha 2) beta))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (-.f64 (+.f64 (/.f64 alpha (/.f64 beta (/.f64 (+.f64 alpha 2) beta))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 beta 3) alpha))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 beta (/.f64 (+.f64 alpha 2) beta))) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 beta 3)))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 beta (/.f64 (+.f64 alpha 2) beta))) (fma.f64 -1 (/.f64 alpha beta) 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (/.f64 beta (+.f64 2 beta))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta)))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))) |
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) |
(-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) |
(-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 beta (/.f64 alpha (/.f64 (+.f64 2 beta) alpha)))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (neg.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))) |
(+.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 2 beta) alpha))) (/.f64 (neg.f64 beta) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))))) (+.f64 (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (neg.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))) (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3))))) |
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha)))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (/.f64 alpha (/.f64 (+.f64 2 beta) alpha))) (+.f64 (/.f64 (neg.f64 beta) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (/.f64 (pow.f64 alpha 4) beta)))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) |
(*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
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(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))))) |
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(/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) |
(/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
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(+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (*.f64 -1 (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 3))))))) (+.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 -1 (*.f64 beta (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))))))) |
(fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (/.f64 (/.f64 alpha (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))))) (+.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (*.f64 (neg.f64 beta) (+.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (/.f64 (/.f64 alpha (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (pow.f64 (+.f64 alpha 2) 2)))))) |
(fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (fma.f64 -1 (/.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))))) (/.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))) (+.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (*.f64 (neg.f64 beta) (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))))) |
(+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (*.f64 -1 (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 3))))))) (+.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (*.f64 -1 (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 3)))))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 3))))))))))) |
(fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (/.f64 (/.f64 alpha (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))))) (+.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (*.f64 -1 (+.f64 (*.f64 beta (+.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (/.f64 (/.f64 alpha (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (/.f64 (/.f64 alpha (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))))) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (/.f64 (/.f64 alpha (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))))))))))) |
(fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (fma.f64 -1 (/.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))))) (/.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))) (+.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (*.f64 -1 (+.f64 (*.f64 beta (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (fma.f64 -1 (/.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))))) (/.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))))) (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))))))))))) |
1/2 |
(+.f64 1/2 (*.f64 1/4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))) |
(+.f64 1/2 (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1/4)) |
(+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 1/4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))) |
(+.f64 1/2 (fma.f64 -1 (/.f64 (fma.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 1/4 (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))))) (*.f64 beta beta)) (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1/4))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 (*.f64 2 alpha)))) (+.f64 (*.f64 1/4 (-.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 1/4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 2 (*.f64 2 alpha)))))) (pow.f64 beta 3))) (+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 1/4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))))) |
(fma.f64 -1 (/.f64 (fma.f64 1/8 (*.f64 (+.f64 2 (*.f64 alpha 2)) (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2)))) (fma.f64 1/4 (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) alpha) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 1/2 (*.f64 (+.f64 2 (*.f64 alpha 2)) (fma.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 1/4 (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))))))))) (pow.f64 beta 3)) (+.f64 1/2 (fma.f64 -1 (/.f64 (fma.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 1/4 (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))))) (*.f64 beta beta)) (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1/4)))) |
(fma.f64 -1 (/.f64 (fma.f64 1/8 (*.f64 (+.f64 2 (*.f64 alpha 2)) (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2)))) (fma.f64 1/4 (-.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (neg.f64 alpha)) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 (+.f64 2 (*.f64 alpha 2)) (*.f64 1/2 (fma.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 1/4 (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))))))))) (pow.f64 beta 3)) (+.f64 1/2 (fma.f64 -1 (/.f64 (fma.f64 -1/8 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 1/4 (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))))) (*.f64 beta beta)) (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1/4)))) |
1/2 |
(+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) 1/2) |
(fma.f64 -1/4 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) 1/2) |
(+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 1/2 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (*.f64 -1/4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)))) (pow.f64 beta 2))))) |
(+.f64 (fma.f64 -1/4 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) 1/2) (neg.f64 (/.f64 (fma.f64 -1/8 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) -1/4)) (*.f64 beta beta)))) |
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(/.f64 alpha (+.f64 2 (*.f64 2 beta))) |
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(/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) |
(*.f64 (/.f64 1 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) |
(/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) |
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2) 1) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2)) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -1/2) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -1/2) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1))) |
(*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -1/2) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))) (sqrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2)) 1) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) |
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -2)) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2)) -1) (cbrt.f64 (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -2)) -1) (cbrt.f64 (/.f64 -1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -2)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -2)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -2)) (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -2)) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))) (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) |
(*.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)) |
(/.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) |
(*.f64 (/.f64 -1 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)))) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) 1) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) -1) (cbrt.f64 (/.f64 -1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) |
(*.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2)))) |
(*.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) |
(*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2)))) |
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1))) |
(*.f64 (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2)))) |
(/.f64 (/.f64 (*.f64 1 (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))) |
(*.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) 1)) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1)) |
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3) -1) (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6) -1))) |
(*.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6)))) |
(*.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) 1) (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1))) |
(*.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3) 3))) (-.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3) 3))) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))) |
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 1) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -1/2) 2) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))) 3) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 3) 1/3) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) -2)) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 3)) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(exp.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(exp.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) -1)) |
(exp.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1)) |
(exp.f64 (neg.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))) |
(/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
Compiled 111445 to 77853 computations (30.1% saved)
16 alts after pruning (12 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1198 | 7 | 1205 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 1201 | 16 | 1217 |
| Status | Error | Program |
|---|---|---|
| 14.3b | (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2) | |
| ✓ | 47.2b | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
| ▶ | 59.5b | (/.f64 (/.f64 2 (/.f64 alpha beta)) 2) |
| ▶ | 49.4b | (/.f64 (/.f64 2 alpha) 2) |
| 15.9b | (/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) 2) | |
| ▶ | 0.2b | (/.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) 2) |
| 33.3b | (/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) 2) | |
| 42.7b | (/.f64 (-.f64 2 (/.f64 2 beta)) 2) | |
| 32.4b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) | |
| ✓ | 14.2b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
| ✓ | 15.9b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| ▶ | 35.6b | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| 59.5b | (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) | |
| 48.4b | (/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2) | |
| ▶ | 47.2b | (/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2) |
| ✓ | 38.4b | (/.f64 2 2) |
Compiled 462 to 358 computations (22.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (+.f64 beta 2) 2) |
| ✓ | 0.1b | (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) |
| ✓ | 0.1b | (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) |
| ✓ | 10.1b | (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) |
Compiled 220 to 168 computations (23.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | alpha | @ | -inf | (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) |
| 7.0ms | beta | @ | -inf | (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) |
| 2.0ms | alpha | @ | inf | (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) |
| 1.0ms | alpha | @ | 0 | (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) |
| 1.0ms | alpha | @ | 0 | (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) |
| 1× | batch-egg-rewrite |
| 494× | associate-+l+ |
| 474× | add-sqr-sqrt |
| 464× | *-un-lft-identity |
| 460× | pow1 |
| 442× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 184 |
| 1 | 456 | 172 |
| 2 | 7142 | 172 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 beta (pow.f64 (+.f64 beta 2) 2)) |
(*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) |
(/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) |
(pow.f64 (+.f64 beta 2) 2) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 beta 2) 2))))) (#(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 (+.f64 beta 2) 2) (*.f64 beta (+.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 (exp.f64 (log1p.f64 (pow.f64 (+.f64 beta 2) 2))) 1)))) (#(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 1 (pow.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 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))))) (#(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 (*.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 (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 (+.f64 8 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))) (fma.f64 beta beta (-.f64 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 /.f64 (*.f64 (+.f64 beta 2) (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 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 8 (pow.f64 beta 3)) (+.f64 beta 2)) (fma.f64 beta beta (-.f64 4 (*.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) (fma.f64 beta beta (-.f64 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 (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))) (+.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 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 log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta 2) 2))))))) |
| 1× | egg-herbie |
| 1460× | associate-+r+ |
| 1374× | associate-+l+ |
| 756× | associate-*r* |
| 630× | associate-*l* |
| 574× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 526 | 12819 |
| 1 | 1550 | 12131 |
| 2 | 6653 | 12119 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/4 beta) |
(+.f64 (*.f64 1/4 beta) (*.f64 -1/4 (pow.f64 beta 2))) |
(+.f64 (*.f64 1/4 beta) (+.f64 (*.f64 3/16 (pow.f64 beta 3)) (*.f64 -1/4 (pow.f64 beta 2)))) |
(+.f64 (*.f64 1/4 beta) (+.f64 (*.f64 3/16 (pow.f64 beta 3)) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 -1/8 (pow.f64 beta 4))))) |
(/.f64 1 beta) |
(-.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 12 (/.f64 1 (pow.f64 beta 3)))) (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 12 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 beta 4))) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))) |
(/.f64 1 beta) |
(-.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 12 (/.f64 1 (pow.f64 beta 3)))) (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 12 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 beta 4))) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))) |
(*.f64 1/2 alpha) |
(+.f64 (*.f64 1/2 alpha) (*.f64 -1/8 (*.f64 (pow.f64 beta 2) alpha))) |
(+.f64 (*.f64 1/8 (*.f64 (pow.f64 beta 3) alpha)) (+.f64 (*.f64 1/2 alpha) (*.f64 -1/8 (*.f64 (pow.f64 beta 2) alpha)))) |
(+.f64 (*.f64 -3/32 (*.f64 (pow.f64 beta 4) alpha)) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 beta 3) alpha)) (+.f64 (*.f64 1/2 alpha) (*.f64 -1/8 (*.f64 (pow.f64 beta 2) alpha))))) |
(*.f64 2 (/.f64 alpha beta)) |
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 -6 (/.f64 alpha (pow.f64 beta 2)))) |
(+.f64 (*.f64 16 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 -6 (/.f64 alpha (pow.f64 beta 2))))) |
(+.f64 (*.f64 16 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 -40 (/.f64 alpha (pow.f64 beta 4))) (*.f64 -6 (/.f64 alpha (pow.f64 beta 2)))))) |
(*.f64 2 (/.f64 alpha beta)) |
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 -6 (/.f64 alpha (pow.f64 beta 2)))) |
(+.f64 (*.f64 16 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 -6 (/.f64 alpha (pow.f64 beta 2))))) |
(+.f64 (*.f64 16 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 -40 (/.f64 alpha (pow.f64 beta 4))) (*.f64 -6 (/.f64 alpha (pow.f64 beta 2)))))) |
(/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) |
(+.f64 (/.f64 (*.f64 beta (+.f64 1/2 (*.f64 1/2 alpha))) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (/.f64 1 (+.f64 1 (*.f64 1/2 alpha)))) |
(+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 3))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)))))) (+.f64 (/.f64 (*.f64 beta (+.f64 1/2 (*.f64 1/2 alpha))) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))))) |
(+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 3))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)))))) (+.f64 (/.f64 (*.f64 beta (+.f64 1/2 (*.f64 1/2 alpha))) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/2 alpha)) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 3))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))))) (+.f64 1/2 (*.f64 1/2 alpha))) (+.f64 1 (*.f64 1/2 alpha)))) (/.f64 (*.f64 (-.f64 1/2 (*.f64 -1/2 alpha)) (+.f64 1/2 (*.f64 1/2 alpha))) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 3))))))))) |
2 |
(+.f64 2 (*.f64 -4 (/.f64 (+.f64 1/2 (*.f64 1/2 alpha)) beta))) |
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 (+.f64 1/2 (*.f64 1/2 alpha)) beta)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2)) (*.f64 4 (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha))))) (pow.f64 beta 2))))) |
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 (+.f64 1/2 (*.f64 1/2 alpha)) beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 (-.f64 (+.f64 1/2 (*.f64 4 alpha)) (+.f64 (*.f64 5/2 alpha) (*.f64 -2 (-.f64 (*.f64 -3/2 alpha) (*.f64 -1 alpha)))))) (+.f64 (*.f64 -2 (*.f64 (+.f64 (*.f64 -8 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2)) (*.f64 4 (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha))))) (+.f64 1/2 (*.f64 1/2 alpha)))) (*.f64 -8 (*.f64 (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha))) (+.f64 1/2 (*.f64 1/2 alpha)))))) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2)) (*.f64 4 (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha))))) (pow.f64 beta 2)))))) |
2 |
(+.f64 2 (*.f64 4 (/.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) beta))) |
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha)))) (*.f64 -8 (pow.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) 2))) (pow.f64 beta 2))) (*.f64 4 (/.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) beta)))) |
(+.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 -4 alpha) (+.f64 1/2 (+.f64 (*.f64 -5/2 alpha) (*.f64 2 (-.f64 (*.f64 -3/2 alpha) (*.f64 -1 alpha)))))) (pow.f64 beta 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 4 (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha)))) (*.f64 -8 (pow.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) 2))) (-.f64 (*.f64 -1/2 alpha) 1/2)) (pow.f64 beta 3))) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha)))) (*.f64 -8 (pow.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) 2))) (pow.f64 beta 2))) (+.f64 (*.f64 -8 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha)))) (pow.f64 beta 3))) (*.f64 4 (/.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) beta))))))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) alpha))) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) (pow.f64 alpha 2)))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) alpha))) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 4) (*.f64 (pow.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) 2) (pow.f64 alpha 3))))) (+.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) (pow.f64 alpha 2)))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) alpha))) (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha)) |
(-.f64 (/.f64 1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha)) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) (pow.f64 alpha 2)))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) 2) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) (pow.f64 alpha 3))))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) (pow.f64 alpha 2)))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) 2) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) (pow.f64 alpha 3))))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) 2) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (*.f64 (pow.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) 2) (pow.f64 alpha 4))))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) (pow.f64 alpha 2))))))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (*.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 alpha 2)))) (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (*.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 4) (*.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (*.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 4) (*.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 5) (*.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 4) (pow.f64 alpha 4))))))) |
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))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)))) 1) |
(*.f64 beta (pow.f64 (+.f64 beta 2) -2)) |
(*.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) 1) |
(*.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))) |
(*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) |
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (pow.f64 (+.f64 beta 2) -2))) |
(*.f64 (/.f64 (sqrt.f64 beta) (+.f64 beta 2)) (/.f64 (sqrt.f64 beta) (+.f64 beta 2))) |
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (pow.f64 (+.f64 beta 2) -2))) |
(*.f64 (cbrt.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))) (cbrt.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4)))) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4))) (cbrt.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)))) |
(*.f64 (pow.f64 (+.f64 beta 2) -2) beta) |
(*.f64 (neg.f64 beta) (/.f64 1 (neg.f64 (pow.f64 (+.f64 beta 2) 2)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4))) (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))) |
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (pow.f64 (+.f64 beta 2) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (pow.f64 (+.f64 beta 2) 2))) |
(*.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 (pow.f64 (+.f64 beta 2) 4))) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (+.f64 beta 2)) (/.f64 (cbrt.f64 beta) (+.f64 beta 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 (pow.f64 (+.f64 beta 2) 4))) (cbrt.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)))) |
(pow.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 beta) (+.f64 beta 2)) 2) |
(pow.f64 (cbrt.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))) 3) |
(pow.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) beta) -1) |
(pow.f64 (pow.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) 3) 1/3) |
(neg.f64 (/.f64 beta (neg.f64 (pow.f64 (+.f64 beta 2) 2)))) |
(sqrt.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4))) |
(log.f64 (pow.f64 (exp.f64 beta) (pow.f64 (+.f64 beta 2) -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))))) |
(cbrt.f64 (pow.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)))) |
(exp.f64 (log.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)))) |
(+.f64 (*.f64 alpha (*.f64 beta (pow.f64 (+.f64 beta 2) -2))) (*.f64 alpha (/.f64 1 (+.f64 beta 2)))) |
(+.f64 (*.f64 alpha (/.f64 1 (+.f64 beta 2))) (*.f64 alpha (*.f64 beta (pow.f64 (+.f64 beta 2) -2)))) |
(+.f64 (*.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) alpha) (*.f64 (/.f64 1 (+.f64 beta 2)) alpha)) |
(+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) alpha) (*.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) alpha)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha))) 1) |
(/.f64 (*.f64 alpha (-.f64 (pow.f64 (+.f64 beta 2) -2) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4)))) (-.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 beta (pow.f64 (+.f64 beta 2) -2)))) |
(/.f64 (*.f64 alpha (+.f64 (pow.f64 (+.f64 beta 2) -3) (pow.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) 3))) (+.f64 (pow.f64 (+.f64 beta 2) -2) (-.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))))) |
(/.f64 (*.f64 alpha (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))) (pow.f64 (+.f64 beta 2) 3)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) -2) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4))) alpha) (-.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 beta (pow.f64 (+.f64 beta 2) -2)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) -3) (pow.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) 3)) alpha) (+.f64 (pow.f64 (+.f64 beta 2) -2) (-.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))))) |
(/.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) alpha) (pow.f64 (+.f64 beta 2) 3)) |
(pow.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) 1) |
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha)) 3) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) 2)) |
(log.f64 (pow.f64 (exp.f64 alpha) (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha)))) |
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) 3) (pow.f64 alpha 3))) |
(cbrt.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha))) |
(exp.f64 (log.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))))) 1) |
(*.f64 1 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2))))))) |
(*.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) 1) |
(*.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) -1/2) (pow.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) -1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2))))))) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) -2)) (/.f64 1 (cbrt.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))))) |
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))))) |
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 (pow.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 4)))) (-.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -3) (pow.f64 (*.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)) 3))) (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 4)) (/.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3))))) |
(*.f64 (/.f64 1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3)) |
(*.f64 (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -1/2) (/.f64 (sqrt.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha)) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) -1) (pow.f64 (hypot.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -1/2) (/.f64 (sqrt.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha)) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) -1)) |
(pow.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) -1) |
(pow.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) 1) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) -1/2) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2))))))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) -2)) |
(log.f64 (exp.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2))))))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))))) |
(exp.f64 (neg.f64 (log.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2))))))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))))) |
(+.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 beta 2) 2)) |
(+.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 2 (+.f64 beta 2))) |
(+.f64 (*.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) |
(+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 beta (+.f64 beta 2))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 beta 2) 2))) 1) |
(*.f64 (+.f64 beta 2) (+.f64 beta 2)) |
(*.f64 (pow.f64 (+.f64 beta 2) 2) 1) |
(*.f64 1 (pow.f64 (+.f64 beta 2) 2)) |
(*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (pow.f64 (+.f64 beta 2) 4))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 (cbrt.f64 (+.f64 beta 2)) (+.f64 beta 2))) |
(*.f64 (*.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2))) |
(*.f64 (*.f64 (+.f64 beta 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (+.f64 beta 2))) |
(/.f64 (*.f64 (fma.f64 beta beta -4) (fma.f64 beta beta -4)) (*.f64 (+.f64 beta -2) (+.f64 beta -2))) |
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))) |
(/.f64 (*.f64 (+.f64 beta 2) (fma.f64 beta beta -4)) (+.f64 beta -2)) |
(/.f64 (*.f64 (+.f64 beta 2) (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))) |
(/.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 beta 2)) (+.f64 beta -2)) |
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 beta 2)) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))) |
(/.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 8 (pow.f64 beta 3))) (*.f64 (+.f64 beta -2) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))) |
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (fma.f64 beta beta -4)) (*.f64 (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))) (+.f64 beta -2))) |
(sqrt.f64 (pow.f64 (+.f64 beta 2) 4)) |
(log.f64 (exp.f64 (pow.f64 (+.f64 beta 2) 2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 beta 2) 2)))) |
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 beta 2) 2))) |
(exp.f64 (*.f64 2 (log.f64 (+.f64 beta 2)))) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 beta 2))) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta 2) 2))) |
| Outputs |
|---|
(*.f64 1/4 beta) |
(+.f64 (*.f64 1/4 beta) (*.f64 -1/4 (pow.f64 beta 2))) |
(fma.f64 1/4 beta (*.f64 -1/4 (*.f64 beta beta))) |
(fma.f64 1/4 beta (*.f64 beta (*.f64 beta -1/4))) |
(+.f64 (*.f64 1/4 beta) (+.f64 (*.f64 3/16 (pow.f64 beta 3)) (*.f64 -1/4 (pow.f64 beta 2)))) |
(fma.f64 1/4 beta (fma.f64 3/16 (pow.f64 beta 3) (*.f64 -1/4 (*.f64 beta beta)))) |
(fma.f64 1/4 beta (fma.f64 3/16 (pow.f64 beta 3) (*.f64 beta (*.f64 beta -1/4)))) |
(+.f64 (*.f64 1/4 beta) (+.f64 (*.f64 3/16 (pow.f64 beta 3)) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 -1/8 (pow.f64 beta 4))))) |
(fma.f64 1/4 beta (fma.f64 3/16 (pow.f64 beta 3) (fma.f64 -1/4 (*.f64 beta beta) (*.f64 -1/8 (pow.f64 beta 4))))) |
(fma.f64 1/4 beta (fma.f64 3/16 (pow.f64 beta 3) (fma.f64 -1/8 (pow.f64 beta 4) (*.f64 beta (*.f64 beta -1/4))))) |
(/.f64 1 beta) |
(-.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) |
(-.f64 (/.f64 1 beta) (/.f64 4 (*.f64 beta beta))) |
(+.f64 (/.f64 1 beta) (/.f64 -4 (*.f64 beta beta))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 12 (/.f64 1 (pow.f64 beta 3)))) (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) |
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 12 (pow.f64 beta 3)) (/.f64 4 (*.f64 beta beta)))) |
(+.f64 (/.f64 12 (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (/.f64 -4 (*.f64 beta beta)))) |
(+.f64 (+.f64 (/.f64 1 beta) (/.f64 -4 (*.f64 beta beta))) (/.f64 12 (pow.f64 beta 3))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 12 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 beta 4))) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))) |
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 12 (pow.f64 beta 3)) (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 32 (pow.f64 beta 4))))) |
(+.f64 (+.f64 (/.f64 12 (pow.f64 beta 3)) (-.f64 (/.f64 1 beta) (/.f64 32 (pow.f64 beta 4)))) (/.f64 -4 (*.f64 beta beta))) |
(+.f64 (/.f64 12 (pow.f64 beta 3)) (+.f64 (-.f64 (/.f64 1 beta) (/.f64 32 (pow.f64 beta 4))) (/.f64 -4 (*.f64 beta beta)))) |
(/.f64 1 beta) |
(-.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) |
(-.f64 (/.f64 1 beta) (/.f64 4 (*.f64 beta beta))) |
(+.f64 (/.f64 1 beta) (/.f64 -4 (*.f64 beta beta))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 12 (/.f64 1 (pow.f64 beta 3)))) (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) |
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 12 (pow.f64 beta 3)) (/.f64 4 (*.f64 beta beta)))) |
(+.f64 (/.f64 12 (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (/.f64 -4 (*.f64 beta beta)))) |
(+.f64 (+.f64 (/.f64 1 beta) (/.f64 -4 (*.f64 beta beta))) (/.f64 12 (pow.f64 beta 3))) |
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 12 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 beta 4))) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))) |
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 12 (pow.f64 beta 3)) (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 32 (pow.f64 beta 4))))) |
(+.f64 (+.f64 (/.f64 12 (pow.f64 beta 3)) (-.f64 (/.f64 1 beta) (/.f64 32 (pow.f64 beta 4)))) (/.f64 -4 (*.f64 beta beta))) |
(+.f64 (/.f64 12 (pow.f64 beta 3)) (+.f64 (-.f64 (/.f64 1 beta) (/.f64 32 (pow.f64 beta 4))) (/.f64 -4 (*.f64 beta beta)))) |
(*.f64 1/2 alpha) |
(+.f64 (*.f64 1/2 alpha) (*.f64 -1/8 (*.f64 (pow.f64 beta 2) alpha))) |
(fma.f64 1/2 alpha (*.f64 (*.f64 -1/8 (*.f64 beta beta)) alpha)) |
(*.f64 alpha (+.f64 (*.f64 (*.f64 beta beta) -1/8) 1/2)) |
(+.f64 (*.f64 1/8 (*.f64 (pow.f64 beta 3) alpha)) (+.f64 (*.f64 1/2 alpha) (*.f64 -1/8 (*.f64 (pow.f64 beta 2) alpha)))) |
(fma.f64 1/8 (*.f64 (pow.f64 beta 3) alpha) (fma.f64 1/2 alpha (*.f64 (*.f64 -1/8 (*.f64 beta beta)) alpha))) |
(fma.f64 1/8 (*.f64 (pow.f64 beta 3) alpha) (*.f64 alpha (+.f64 (*.f64 (*.f64 beta beta) -1/8) 1/2))) |
(+.f64 (*.f64 -3/32 (*.f64 (pow.f64 beta 4) alpha)) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 beta 3) alpha)) (+.f64 (*.f64 1/2 alpha) (*.f64 -1/8 (*.f64 (pow.f64 beta 2) alpha))))) |
(fma.f64 -3/32 (*.f64 (pow.f64 beta 4) alpha) (fma.f64 1/8 (*.f64 (pow.f64 beta 3) alpha) (fma.f64 1/2 alpha (*.f64 (*.f64 -1/8 (*.f64 beta beta)) alpha)))) |
(fma.f64 -3/32 (*.f64 (pow.f64 beta 4) alpha) (fma.f64 1/8 (*.f64 (pow.f64 beta 3) alpha) (*.f64 alpha (+.f64 (*.f64 (*.f64 beta beta) -1/8) 1/2)))) |
(*.f64 2 (/.f64 alpha beta)) |
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 -6 (/.f64 alpha (pow.f64 beta 2)))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 (*.f64 -6 alpha) (*.f64 beta beta))) |
(fma.f64 2 (/.f64 alpha beta) (*.f64 (/.f64 -6 beta) (/.f64 alpha beta))) |
(+.f64 (*.f64 16 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 -6 (/.f64 alpha (pow.f64 beta 2))))) |
(fma.f64 16 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 2 (/.f64 alpha beta) (/.f64 (*.f64 -6 alpha) (*.f64 beta beta)))) |
(fma.f64 16 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 2 (/.f64 alpha beta) (*.f64 (/.f64 -6 beta) (/.f64 alpha beta)))) |
(+.f64 (*.f64 16 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 -40 (/.f64 alpha (pow.f64 beta 4))) (*.f64 -6 (/.f64 alpha (pow.f64 beta 2)))))) |
(fma.f64 16 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 2 (/.f64 alpha beta) (fma.f64 -40 (/.f64 alpha (pow.f64 beta 4)) (/.f64 (*.f64 -6 alpha) (*.f64 beta beta))))) |
(fma.f64 16 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 2 (/.f64 alpha beta) (fma.f64 -6 (/.f64 alpha (*.f64 beta beta)) (/.f64 (*.f64 alpha -40) (pow.f64 beta 4))))) |
(*.f64 2 (/.f64 alpha beta)) |
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 -6 (/.f64 alpha (pow.f64 beta 2)))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 (*.f64 -6 alpha) (*.f64 beta beta))) |
(fma.f64 2 (/.f64 alpha beta) (*.f64 (/.f64 -6 beta) (/.f64 alpha beta))) |
(+.f64 (*.f64 16 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 -6 (/.f64 alpha (pow.f64 beta 2))))) |
(fma.f64 16 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 2 (/.f64 alpha beta) (/.f64 (*.f64 -6 alpha) (*.f64 beta beta)))) |
(fma.f64 16 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 2 (/.f64 alpha beta) (*.f64 (/.f64 -6 beta) (/.f64 alpha beta)))) |
(+.f64 (*.f64 16 (/.f64 alpha (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 -40 (/.f64 alpha (pow.f64 beta 4))) (*.f64 -6 (/.f64 alpha (pow.f64 beta 2)))))) |
(fma.f64 16 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 2 (/.f64 alpha beta) (fma.f64 -40 (/.f64 alpha (pow.f64 beta 4)) (/.f64 (*.f64 -6 alpha) (*.f64 beta beta))))) |
(fma.f64 16 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 2 (/.f64 alpha beta) (fma.f64 -6 (/.f64 alpha (*.f64 beta beta)) (/.f64 (*.f64 alpha -40) (pow.f64 beta 4))))) |
(/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) |
(/.f64 1 (fma.f64 1/2 alpha 1)) |
(+.f64 (/.f64 (*.f64 beta (+.f64 1/2 (*.f64 1/2 alpha))) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (/.f64 1 (+.f64 1 (*.f64 1/2 alpha)))) |
(+.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) (/.f64 beta (/.f64 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2) (+.f64 1/2 (*.f64 1/2 alpha))))) |
(+.f64 (/.f64 1 (fma.f64 1/2 alpha 1)) (/.f64 beta (/.f64 (pow.f64 (fma.f64 1/2 alpha 1) 2) (fma.f64 1/2 alpha 1/2)))) |
(+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 3))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)))))) (+.f64 (/.f64 (*.f64 beta (+.f64 1/2 (*.f64 1/2 alpha))) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))))) |
(fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (*.f64 alpha -1/2) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 3)) (/.f64 1/2 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)))) (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) (/.f64 beta (/.f64 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2) (+.f64 1/2 (*.f64 1/2 alpha)))))) |
(+.f64 (/.f64 1 (fma.f64 1/2 alpha 1)) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 1/2 alpha 1) 2) -1/2)) (-.f64 (/.f64 1/2 (pow.f64 (fma.f64 1/2 alpha 1) 2)) (/.f64 (pow.f64 (fma.f64 1/2 alpha 1/2) 2) (pow.f64 (fma.f64 1/2 alpha 1) 3)))) (/.f64 beta (/.f64 (pow.f64 (fma.f64 1/2 alpha 1) 2) (fma.f64 1/2 alpha 1/2))))) |
(+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 3))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)))))) (+.f64 (/.f64 (*.f64 beta (+.f64 1/2 (*.f64 1/2 alpha))) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/2 alpha)) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 3))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2))))) (+.f64 1/2 (*.f64 1/2 alpha))) (+.f64 1 (*.f64 1/2 alpha)))) (/.f64 (*.f64 (-.f64 1/2 (*.f64 -1/2 alpha)) (+.f64 1/2 (*.f64 1/2 alpha))) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 3))))))))) |
(fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (*.f64 alpha -1/2) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 3)) (/.f64 1/2 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)))) (+.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) (/.f64 beta (/.f64 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2) (+.f64 1/2 (*.f64 1/2 alpha))))) (neg.f64 (*.f64 (pow.f64 beta 3) (fma.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/2 alpha)) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (fma.f64 -1 (/.f64 (-.f64 (/.f64 (*.f64 alpha -1/2) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 3)) (/.f64 1/2 (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 2)))) (/.f64 (+.f64 1 (*.f64 1/2 alpha)) (+.f64 1/2 (*.f64 1/2 alpha)))) (/.f64 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2) (pow.f64 (+.f64 1 (*.f64 1/2 alpha)) 3)))))))) |
(+.f64 (-.f64 (/.f64 1 (fma.f64 1/2 alpha 1)) (*.f64 (pow.f64 beta 3) (-.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 1/2 alpha 1/2) 2) (pow.f64 (fma.f64 1/2 alpha 1) 3)) (*.f64 (/.f64 (-.f64 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 1/2 alpha 1) 2) -1/2)) (-.f64 (/.f64 1/2 (pow.f64 (fma.f64 1/2 alpha 1) 2)) (/.f64 (pow.f64 (fma.f64 1/2 alpha 1/2) 2) (pow.f64 (fma.f64 1/2 alpha 1) 3)))) (fma.f64 1/2 alpha 1)) (fma.f64 1/2 alpha 1/2))) (/.f64 (fma.f64 1/2 alpha 1/2) (pow.f64 (fma.f64 1/2 alpha 1) 2))))) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 alpha (/.f64 (pow.f64 (fma.f64 1/2 alpha 1) 2) -1/2)) (-.f64 (/.f64 1/2 (pow.f64 (fma.f64 1/2 alpha 1) 2)) (/.f64 (pow.f64 (fma.f64 1/2 alpha 1/2) 2) (pow.f64 (fma.f64 1/2 alpha 1) 3)))) (/.f64 beta (/.f64 (pow.f64 (fma.f64 1/2 alpha 1) 2) (fma.f64 1/2 alpha 1/2))))) |
2 |
(+.f64 2 (*.f64 -4 (/.f64 (+.f64 1/2 (*.f64 1/2 alpha)) beta))) |
(fma.f64 -4 (/.f64 (fma.f64 1/2 alpha 1/2) beta) 2) |
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 (+.f64 1/2 (*.f64 1/2 alpha)) beta)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2)) (*.f64 4 (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha))))) (pow.f64 beta 2))))) |
(+.f64 2 (fma.f64 -4 (/.f64 (+.f64 1/2 (*.f64 1/2 alpha)) beta) (neg.f64 (/.f64 (fma.f64 -8 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2) (*.f64 4 (-.f64 (*.f64 alpha -3/2) (+.f64 1/2 (neg.f64 alpha))))) (*.f64 beta beta))))) |
(-.f64 (fma.f64 -4 (/.f64 (fma.f64 1/2 alpha 1/2) beta) 2) (/.f64 (fma.f64 (pow.f64 (fma.f64 1/2 alpha 1/2) 2) -8 (*.f64 4 (fma.f64 alpha -1/2 -1/2))) (*.f64 beta beta))) |
(+.f64 2 (+.f64 (*.f64 -4 (/.f64 (+.f64 1/2 (*.f64 1/2 alpha)) beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 (-.f64 (+.f64 1/2 (*.f64 4 alpha)) (+.f64 (*.f64 5/2 alpha) (*.f64 -2 (-.f64 (*.f64 -3/2 alpha) (*.f64 -1 alpha)))))) (+.f64 (*.f64 -2 (*.f64 (+.f64 (*.f64 -8 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2)) (*.f64 4 (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha))))) (+.f64 1/2 (*.f64 1/2 alpha)))) (*.f64 -8 (*.f64 (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha))) (+.f64 1/2 (*.f64 1/2 alpha)))))) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2)) (*.f64 4 (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha))))) (pow.f64 beta 2)))))) |
(+.f64 2 (fma.f64 -4 (/.f64 (+.f64 1/2 (*.f64 1/2 alpha)) beta) (*.f64 -1 (+.f64 (/.f64 (fma.f64 4 (+.f64 1/2 (-.f64 (*.f64 4 alpha) (fma.f64 5/2 alpha (*.f64 -2 (*.f64 alpha -1/2))))) (fma.f64 -2 (*.f64 (+.f64 1/2 (*.f64 1/2 alpha)) (fma.f64 -8 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2) (*.f64 4 (-.f64 (*.f64 alpha -3/2) (+.f64 1/2 (neg.f64 alpha)))))) (*.f64 -8 (*.f64 (+.f64 1/2 (*.f64 1/2 alpha)) (-.f64 (*.f64 alpha -3/2) (+.f64 1/2 (neg.f64 alpha))))))) (pow.f64 beta 3)) (/.f64 (fma.f64 -8 (pow.f64 (+.f64 1/2 (*.f64 1/2 alpha)) 2) (*.f64 4 (-.f64 (*.f64 alpha -3/2) (+.f64 1/2 (neg.f64 alpha))))) (*.f64 beta beta)))))) |
(+.f64 (fma.f64 -4 (/.f64 (fma.f64 1/2 alpha 1/2) beta) 2) (-.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 1/2 alpha 1/2) 2) -8 (*.f64 4 (fma.f64 alpha -1/2 -1/2)))) (*.f64 beta beta)) (/.f64 (fma.f64 4 (-.f64 (fma.f64 4 alpha 1/2) (fma.f64 alpha 5/2 alpha)) (*.f64 (fma.f64 1/2 alpha 1/2) (+.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 1/2 alpha 1/2) 2) -8 (*.f64 4 (fma.f64 alpha -1/2 -1/2))) -2) (*.f64 -8 (fma.f64 alpha -1/2 -1/2))))) (pow.f64 beta 3)))) |
2 |
(+.f64 2 (*.f64 4 (/.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) beta))) |
(+.f64 2 (*.f64 4 (/.f64 (fma.f64 -1/2 alpha -1/2) beta))) |
(fma.f64 4 (/.f64 (fma.f64 alpha -1/2 -1/2) beta) 2) |
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha)))) (*.f64 -8 (pow.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) 2))) (pow.f64 beta 2))) (*.f64 4 (/.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) beta)))) |
(+.f64 2 (fma.f64 -1 (/.f64 (fma.f64 4 (-.f64 (*.f64 alpha -3/2) (+.f64 1/2 (neg.f64 alpha))) (*.f64 -8 (pow.f64 (fma.f64 -1/2 alpha -1/2) 2))) (*.f64 beta beta)) (*.f64 4 (/.f64 (fma.f64 -1/2 alpha -1/2) beta)))) |
(+.f64 2 (-.f64 (*.f64 4 (/.f64 (fma.f64 alpha -1/2 -1/2) beta)) (/.f64 (fma.f64 4 (fma.f64 alpha -1/2 -1/2) (*.f64 -8 (pow.f64 (fma.f64 alpha -1/2 -1/2) 2))) (*.f64 beta beta)))) |
(+.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 -4 alpha) (+.f64 1/2 (+.f64 (*.f64 -5/2 alpha) (*.f64 2 (-.f64 (*.f64 -3/2 alpha) (*.f64 -1 alpha)))))) (pow.f64 beta 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 (*.f64 4 (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha)))) (*.f64 -8 (pow.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) 2))) (-.f64 (*.f64 -1/2 alpha) 1/2)) (pow.f64 beta 3))) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha)))) (*.f64 -8 (pow.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) 2))) (pow.f64 beta 2))) (+.f64 (*.f64 -8 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) (-.f64 (*.f64 -3/2 alpha) (+.f64 1/2 (*.f64 -1 alpha)))) (pow.f64 beta 3))) (*.f64 4 (/.f64 (-.f64 (*.f64 -1/2 alpha) 1/2) beta))))))) |
(fma.f64 4 (/.f64 (-.f64 (-.f64 (*.f64 alpha -4) 1/2) (fma.f64 -5/2 alpha (*.f64 2 (*.f64 alpha -1/2)))) (pow.f64 beta 3)) (fma.f64 -2 (/.f64 (fma.f64 4 (-.f64 (*.f64 alpha -3/2) (+.f64 1/2 (neg.f64 alpha))) (*.f64 -8 (pow.f64 (fma.f64 -1/2 alpha -1/2) 2))) (/.f64 (pow.f64 beta 3) (fma.f64 -1/2 alpha -1/2))) (+.f64 2 (fma.f64 -1 (/.f64 (fma.f64 4 (-.f64 (*.f64 alpha -3/2) (+.f64 1/2 (neg.f64 alpha))) (*.f64 -8 (pow.f64 (fma.f64 -1/2 alpha -1/2) 2))) (*.f64 beta beta)) (fma.f64 -8 (/.f64 (fma.f64 -1/2 alpha -1/2) (/.f64 (pow.f64 beta 3) (-.f64 (*.f64 alpha -3/2) (+.f64 1/2 (neg.f64 alpha))))) (*.f64 4 (/.f64 (fma.f64 -1/2 alpha -1/2) beta))))))) |
(fma.f64 4 (/.f64 (-.f64 (fma.f64 alpha -4 -1/2) (fma.f64 alpha -5/2 (neg.f64 alpha))) (pow.f64 beta 3)) (+.f64 (-.f64 (fma.f64 4 (/.f64 (fma.f64 alpha -1/2 -1/2) beta) (/.f64 (*.f64 -8 (pow.f64 (fma.f64 alpha -1/2 -1/2) 2)) (pow.f64 beta 3))) (/.f64 (fma.f64 4 (fma.f64 alpha -1/2 -1/2) (*.f64 -8 (pow.f64 (fma.f64 alpha -1/2 -1/2) 2))) (*.f64 beta beta))) (fma.f64 -2 (*.f64 (/.f64 (fma.f64 4 (fma.f64 alpha -1/2 -1/2) (*.f64 -8 (pow.f64 (fma.f64 alpha -1/2 -1/2) 2))) (pow.f64 beta 3)) (fma.f64 alpha -1/2 -1/2)) 2))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) alpha))) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (fma.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 alpha (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))))) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 1 (+.f64 beta 2)) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) (*.f64 alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))))) |
(+.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) (pow.f64 alpha 2)))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) alpha))) (/.f64 beta (+.f64 beta 2))))) |
(fma.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) (*.f64 alpha alpha))) (+.f64 1 (fma.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 alpha (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))))) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 1 (+.f64 beta 2)) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) (*.f64 alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) (+.f64 1 (*.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 1 (+.f64 beta 2)) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) 2)) (*.f64 alpha alpha)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 1 (+.f64 beta 2)) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) (*.f64 alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) (*.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 1 (+.f64 beta 2)) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) 2)) (*.f64 alpha alpha)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 4) (*.f64 (pow.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) 2) (pow.f64 alpha 3))))) (+.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) (pow.f64 alpha 2)))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) alpha))) (/.f64 beta (+.f64 beta 2)))))) |
(fma.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) (*.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 4) (pow.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) 2)) (pow.f64 alpha 3))) (fma.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) (*.f64 alpha alpha))) (+.f64 1 (fma.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 alpha (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))))) (/.f64 beta (+.f64 beta 2)))))) |
(+.f64 (+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 1 (+.f64 beta 2)) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) (*.f64 alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))))) (fma.f64 (neg.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 1 (+.f64 beta 2)) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) (*.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 4) (pow.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 1 (+.f64 beta 2)) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) 2))) (*.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 1 (+.f64 beta 2)) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) 2)) (*.f64 alpha alpha)))) |
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(/.f64 (/.f64 1 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))))) alpha) |
(/.f64 (/.f64 1 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 1 (+.f64 beta 2)) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) alpha) |
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(+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) 2)) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) (pow.f64 alpha 3)))) (-.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))))) alpha) (/.f64 (/.f64 1 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) (*.f64 alpha alpha)))))) |
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(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) 2) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) (pow.f64 alpha 3))))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) 2) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (*.f64 (pow.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) 2) (pow.f64 alpha 4))))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))) (pow.f64 alpha 2))))))) |
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(+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 1 (+.f64 beta 2)) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) 2)) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 1 (+.f64 beta 2)) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) (*.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) (-.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 1 (+.f64 beta 2)) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) alpha) (/.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 1 (+.f64 beta 2)) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) (*.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 1 (+.f64 beta 2)) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) (*.f64 (*.f64 alpha alpha) (+.f64 1 (/.f64 beta (+.f64 beta 2)))))))) (/.f64 1 (*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 1 (+.f64 beta 2)) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) 2) (pow.f64 alpha 4)) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 1 (+.f64 beta 2)) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) 2)))))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))))) |
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(fma.f64 -1 (/.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))))) (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (pow.f64 (*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (*.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 4) (*.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)))) |
(fma.f64 -1 (/.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (*.f64 alpha alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 4) (*.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 3))))) |
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))))) (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (pow.f64 (*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) 2))) (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 4) (pow.f64 (*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) 3))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (*.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 4) (*.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 5) (*.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 4) (pow.f64 alpha 4))))))) |
(fma.f64 -1 (/.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (*.f64 alpha alpha)) (+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 4) (*.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 3)))) (neg.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 5) (*.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 4)))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 4) (pow.f64 (*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) 3)) (-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))))) (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 5) (*.f64 (pow.f64 alpha 4) (pow.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) 4))))) (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (pow.f64 (*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) 2))) |
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))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)))) 1) |
(*.f64 beta (pow.f64 (+.f64 beta 2) -2)) |
(*.f64 beta (pow.f64 (+.f64 beta 2) -2)) |
(*.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) 1) |
(*.f64 beta (pow.f64 (+.f64 beta 2) -2)) |
(*.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))) |
(*.f64 beta (pow.f64 (+.f64 beta 2) -2)) |
(*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) |
(*.f64 beta (pow.f64 (+.f64 beta 2) -2)) |
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (pow.f64 (+.f64 beta 2) -2))) |
(*.f64 beta (pow.f64 (+.f64 beta 2) -2)) |
(*.f64 (/.f64 (sqrt.f64 beta) (+.f64 beta 2)) (/.f64 (sqrt.f64 beta) (+.f64 beta 2))) |
(*.f64 beta (pow.f64 (+.f64 beta 2) -2)) |
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (pow.f64 (+.f64 beta 2) -2))) |
(*.f64 beta (pow.f64 (+.f64 beta 2) -2)) |
(*.f64 (cbrt.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))) (cbrt.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4)))) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4))) (cbrt.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)))) |
(*.f64 (cbrt.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))) (cbrt.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4)))) |
(*.f64 (pow.f64 (+.f64 beta 2) -2) beta) |
(*.f64 beta (pow.f64 (+.f64 beta 2) -2)) |
(*.f64 (neg.f64 beta) (/.f64 1 (neg.f64 (pow.f64 (+.f64 beta 2) 2)))) |
(*.f64 beta (pow.f64 (+.f64 beta 2) -2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4))) (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))) |
(/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 beta 2) 4))) |
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (pow.f64 (+.f64 beta 2) 2))) |
(*.f64 beta (pow.f64 (+.f64 beta 2) -2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (pow.f64 (+.f64 beta 2) 2))) |
(*.f64 beta (pow.f64 (+.f64 beta 2) -2)) |
(*.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 (pow.f64 (+.f64 beta 2) 4))) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4))) (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))) |
(/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (pow.f64 (+.f64 beta 2) 4))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (+.f64 beta 2)) (/.f64 (cbrt.f64 beta) (+.f64 beta 2))) |
(*.f64 beta (pow.f64 (+.f64 beta 2) -2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 (pow.f64 (+.f64 beta 2) 4))) (cbrt.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)))) |
(*.f64 (cbrt.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)))) |
(pow.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) 1) |
(*.f64 beta (pow.f64 (+.f64 beta 2) -2)) |
(pow.f64 (/.f64 (sqrt.f64 beta) (+.f64 beta 2)) 2) |
(*.f64 beta (pow.f64 (+.f64 beta 2) -2)) |
(pow.f64 (cbrt.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))) 3) |
(*.f64 beta (pow.f64 (+.f64 beta 2) -2)) |
(pow.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) beta) -1) |
(*.f64 beta (pow.f64 (+.f64 beta 2) -2)) |
(pow.f64 (pow.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) 3) 1/3) |
(*.f64 beta (pow.f64 (+.f64 beta 2) -2)) |
(neg.f64 (/.f64 beta (neg.f64 (pow.f64 (+.f64 beta 2) 2)))) |
(*.f64 beta (pow.f64 (+.f64 beta 2) -2)) |
(sqrt.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4))) |
(log.f64 (pow.f64 (exp.f64 beta) (pow.f64 (+.f64 beta 2) -2))) |
(*.f64 beta (pow.f64 (+.f64 beta 2) -2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))))) |
(*.f64 beta (pow.f64 (+.f64 beta 2) -2)) |
(cbrt.f64 (pow.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) 3)) |
(*.f64 beta (pow.f64 (+.f64 beta 2) -2)) |
(expm1.f64 (log1p.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)))) |
(*.f64 beta (pow.f64 (+.f64 beta 2) -2)) |
(exp.f64 (log.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)))) |
(*.f64 beta (pow.f64 (+.f64 beta 2) -2)) |
(exp.f64 (*.f64 (log.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2))) 1)) |
(*.f64 beta (pow.f64 (+.f64 beta 2) -2)) |
(log1p.f64 (expm1.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)))) |
(*.f64 beta (pow.f64 (+.f64 beta 2) -2)) |
(+.f64 (*.f64 alpha (*.f64 beta (pow.f64 (+.f64 beta 2) -2))) (*.f64 alpha (/.f64 1 (+.f64 beta 2)))) |
(*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) |
(+.f64 (*.f64 alpha (/.f64 1 (+.f64 beta 2))) (*.f64 alpha (*.f64 beta (pow.f64 (+.f64 beta 2) -2)))) |
(*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) |
(+.f64 (*.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) alpha) (*.f64 (/.f64 1 (+.f64 beta 2)) alpha)) |
(*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) alpha) (*.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) alpha)) |
(*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha))) 1) |
(*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) |
(/.f64 (*.f64 alpha (-.f64 (pow.f64 (+.f64 beta 2) -2) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4)))) (-.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 beta (pow.f64 (+.f64 beta 2) -2)))) |
(/.f64 alpha (/.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 beta (pow.f64 (+.f64 beta 2) -2))) (-.f64 (pow.f64 (+.f64 beta 2) -2) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4))))) |
(*.f64 (/.f64 alpha (-.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 beta (pow.f64 (+.f64 beta 2) -2)))) (-.f64 (pow.f64 (+.f64 beta 2) -2) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4)))) |
(/.f64 (*.f64 alpha (+.f64 (pow.f64 (+.f64 beta 2) -3) (pow.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) 3))) (+.f64 (pow.f64 (+.f64 beta 2) -2) (-.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))))) |
(/.f64 (*.f64 alpha (+.f64 (pow.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) 3) (pow.f64 (+.f64 beta 2) -3))) (+.f64 (pow.f64 (+.f64 beta 2) -2) (-.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) 3) (pow.f64 (+.f64 beta 2) -3)) (-.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4)) (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (+.f64 beta 2) -2)))) alpha) |
(/.f64 (*.f64 alpha (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))) (pow.f64 (+.f64 beta 2) 3)) |
(/.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta)) (/.f64 (pow.f64 (+.f64 beta 2) 3) alpha)) |
(*.f64 (/.f64 alpha (pow.f64 (+.f64 beta 2) 3)) (*.f64 (+.f64 beta 2) (fma.f64 beta 2 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) -2) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4))) alpha) (-.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 beta (pow.f64 (+.f64 beta 2) -2)))) |
(/.f64 alpha (/.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 beta (pow.f64 (+.f64 beta 2) -2))) (-.f64 (pow.f64 (+.f64 beta 2) -2) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4))))) |
(*.f64 (/.f64 alpha (-.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 beta (pow.f64 (+.f64 beta 2) -2)))) (-.f64 (pow.f64 (+.f64 beta 2) -2) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) -3) (pow.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) 3)) alpha) (+.f64 (pow.f64 (+.f64 beta 2) -2) (-.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))))) |
(/.f64 (*.f64 alpha (+.f64 (pow.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) 3) (pow.f64 (+.f64 beta 2) -3))) (+.f64 (pow.f64 (+.f64 beta 2) -2) (-.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) -2)) 3) (pow.f64 (+.f64 beta 2) -3)) (-.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 4)) (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (+.f64 beta 2) -2)))) alpha) |
(/.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) alpha) (pow.f64 (+.f64 beta 2) 3)) |
(/.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta)) (/.f64 (pow.f64 (+.f64 beta 2) 3) alpha)) |
(*.f64 (/.f64 alpha (pow.f64 (+.f64 beta 2) 3)) (*.f64 (+.f64 beta 2) (fma.f64 beta 2 2))) |
(pow.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) 1) |
(*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) |
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha)) 2) |
(*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) |
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha)) 3) |
(*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) 3) 1/3) |
(*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) |
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) 2)) |
(sqrt.f64 (pow.f64 (*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) 2)) |
(fabs.f64 (*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))))) |
(log.f64 (pow.f64 (exp.f64 alpha) (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))))) |
(*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) |
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(*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) |
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) 3)) |
(*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) |
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(*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) |
(cbrt.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) 3))) |
(*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) |
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(*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) |
(exp.f64 (log.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha))) |
(*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha)) 1)) |
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(log.f64 (exp.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))))) |
(/.f64 1 (fma.f64 (*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 1 (fma.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) (*.f64 alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2))))))))) |
(/.f64 1 (fma.f64 (*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 1 (fma.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) (*.f64 alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) 3)) |
(/.f64 1 (fma.f64 (*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 1 (fma.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) (*.f64 alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))))) |
(/.f64 1 (fma.f64 (*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 1 (fma.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) (*.f64 alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(exp.f64 (neg.f64 (log.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))))) |
(/.f64 1 (fma.f64 (*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 1 (fma.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) (*.f64 alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) -1)) |
(/.f64 1 (fma.f64 (*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 1 (fma.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) (*.f64 alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2))))))) 1)) |
(/.f64 1 (fma.f64 (*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 1 (fma.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) (*.f64 alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))))) |
(/.f64 1 (fma.f64 (*.f64 alpha (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2)))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 1 (fma.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) -2) (/.f64 1 (+.f64 beta 2))) (*.f64 alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)) (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(+.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 beta 2) 2)) |
(pow.f64 (+.f64 beta 2) 2) |
(+.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 2 (+.f64 beta 2))) |
(pow.f64 (+.f64 beta 2) 2) |
(+.f64 (*.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) |
(pow.f64 (+.f64 beta 2) 2) |
(+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 beta (+.f64 beta 2))) |
(pow.f64 (+.f64 beta 2) 2) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 beta 2) 2))) 1) |
(pow.f64 (+.f64 beta 2) 2) |
(*.f64 (+.f64 beta 2) (+.f64 beta 2)) |
(pow.f64 (+.f64 beta 2) 2) |
(*.f64 (pow.f64 (+.f64 beta 2) 2) 1) |
(pow.f64 (+.f64 beta 2) 2) |
(*.f64 1 (pow.f64 (+.f64 beta 2) 2)) |
(pow.f64 (+.f64 beta 2) 2) |
(*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))) |
(pow.f64 (+.f64 beta 2) 2) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (pow.f64 (+.f64 beta 2) 4))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 (cbrt.f64 (+.f64 beta 2)) (+.f64 beta 2))) |
(pow.f64 (+.f64 beta 2) 2) |
(*.f64 (*.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2))) |
(pow.f64 (+.f64 beta 2) 2) |
(*.f64 (*.f64 (+.f64 beta 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (+.f64 beta 2))) |
(pow.f64 (+.f64 beta 2) 2) |
(/.f64 (*.f64 (fma.f64 beta beta -4) (fma.f64 beta beta -4)) (*.f64 (+.f64 beta -2) (+.f64 beta -2))) |
(*.f64 (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)) (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2))) |
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))) |
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta beta (-.f64 4 (+.f64 beta beta)))) (fma.f64 beta beta (-.f64 4 (+.f64 beta beta)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (+.f64 4 (*.f64 beta -2)))) (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (+.f64 4 (*.f64 beta -2))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) (/.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 4 (*.f64 beta (+.f64 beta -2))))) |
(/.f64 (*.f64 (+.f64 beta 2) (fma.f64 beta beta -4)) (+.f64 beta -2)) |
(/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4))) |
(*.f64 (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)) (+.f64 beta 2)) |
(/.f64 (*.f64 (+.f64 beta 2) (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))) |
(/.f64 (+.f64 beta 2) (/.f64 (fma.f64 beta beta (-.f64 4 (+.f64 beta beta))) (+.f64 (pow.f64 beta 3) 8))) |
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (+.f64 4 (*.f64 beta -2)))) (+.f64 beta 2)) |
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) (+.f64 beta 2)) |
(/.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 beta 2)) (+.f64 beta -2)) |
(/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4))) |
(*.f64 (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)) (+.f64 beta 2)) |
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 beta 2)) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))) |
(/.f64 (+.f64 beta 2) (/.f64 (fma.f64 beta beta (-.f64 4 (+.f64 beta beta))) (+.f64 (pow.f64 beta 3) 8))) |
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (+.f64 4 (*.f64 beta -2)))) (+.f64 beta 2)) |
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) (+.f64 beta 2)) |
(/.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 8 (pow.f64 beta 3))) (*.f64 (+.f64 beta -2) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))) |
(/.f64 (/.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 (pow.f64 beta 3) 8)) (+.f64 beta -2)) (fma.f64 beta beta (-.f64 4 (+.f64 beta beta)))) |
(*.f64 (/.f64 (fma.f64 beta beta -4) (fma.f64 beta beta (+.f64 4 (*.f64 beta -2)))) (/.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 beta -2))) |
(*.f64 (/.f64 (fma.f64 beta beta -4) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) (/.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 beta -2))) |
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (fma.f64 beta beta -4)) (*.f64 (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))) (+.f64 beta -2))) |
(/.f64 (/.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 (pow.f64 beta 3) 8)) (+.f64 beta -2)) (fma.f64 beta beta (-.f64 4 (+.f64 beta beta)))) |
(*.f64 (/.f64 (fma.f64 beta beta -4) (fma.f64 beta beta (+.f64 4 (*.f64 beta -2)))) (/.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 beta -2))) |
(*.f64 (/.f64 (fma.f64 beta beta -4) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) (/.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 beta -2))) |
(sqrt.f64 (pow.f64 (+.f64 beta 2) 4)) |
(log.f64 (exp.f64 (pow.f64 (+.f64 beta 2) 2))) |
(pow.f64 (+.f64 beta 2) 2) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 beta 2) 2)))) |
(pow.f64 (+.f64 beta 2) 2) |
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3)) |
(pow.f64 (+.f64 beta 2) 2) |
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 beta 2) 2))) |
(pow.f64 (+.f64 beta 2) 2) |
(exp.f64 (*.f64 2 (log.f64 (+.f64 beta 2)))) |
(pow.f64 (+.f64 beta 2) 2) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 beta 2))) 1)) |
(pow.f64 (+.f64 beta 2) 2) |
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta 2) 2))) |
(pow.f64 (+.f64 beta 2) 2) |
Compiled 12 to 9 computations (25% saved)
Compiled 21 to 17 computations (19% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (/.f64 2 (/.f64 alpha beta)) 2) |
| ✓ | 0.6b | (/.f64 2 (/.f64 alpha beta)) |
Compiled 20 to 10 computations (50% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | beta | @ | 0 | (/.f64 2 (/.f64 alpha beta)) |
| 0.0ms | beta | @ | inf | (/.f64 2 (/.f64 alpha beta)) |
| 0.0ms | alpha | @ | 0 | (/.f64 2 (/.f64 alpha beta)) |
| 0.0ms | alpha | @ | inf | (/.f64 2 (/.f64 alpha beta)) |
| 0.0ms | beta | @ | -inf | (/.f64 (/.f64 2 (/.f64 alpha beta)) 2) |
| 1× | batch-egg-rewrite |
| 1910× | add-sqr-sqrt |
| 1884× | *-un-lft-identity |
| 1768× | add-cube-cbrt |
| 1750× | add-cbrt-cube |
| 178× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 1 | 182 | 20 |
| 2 | 2477 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 beta alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) (sqrt.f64 (*.f64 2 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 2) (cbrt.f64 (*.f64 2 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 alpha) beta)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (/.f64 (neg.f64 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 alpha) 1) beta)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 alpha) (sqrt.f64 beta)) (sqrt.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 alpha) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (neg.f64 alpha)) (neg.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 beta alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (*.f64 2 beta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 beta alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 beta alpha)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 beta alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 beta alpha) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (/.f64 2 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 beta alpha)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) (*.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 beta alpha)) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (cbrt.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 2) (*.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 alpha) (*.f64 beta 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (/.f64 beta alpha)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) beta)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 alpha)) (neg.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 beta (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 alpha)) (/.f64 (sqrt.f64 beta) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 beta) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha beta) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 beta alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 beta alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 beta alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 2 (/.f64 beta alpha)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 beta alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 beta alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 beta) (log.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 beta alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 beta alpha))))))) |
| 1× | egg-herbie |
| 1548× | associate-/r* |
| 1540× | associate-/l* |
| 1092× | unswap-sqr |
| 916× | *-commutative |
| 758× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 153 | 1282 |
| 1 | 356 | 1234 |
| 2 | 2136 | 1234 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha)))) 1) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 beta (/.f64 2 alpha)) |
(*.f64 (*.f64 2 (/.f64 beta alpha)) 1) |
(*.f64 (/.f64 beta alpha) 2) |
(*.f64 1 (*.f64 2 (/.f64 beta alpha))) |
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) (sqrt.f64 (*.f64 2 (/.f64 beta alpha)))) |
(*.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 2) (cbrt.f64 (*.f64 2 (/.f64 beta alpha)))) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 -2 (/.f64 1 (/.f64 (neg.f64 alpha) beta))) |
(*.f64 (*.f64 (/.f64 2 alpha) 1) beta) |
(*.f64 (*.f64 (/.f64 2 alpha) (sqrt.f64 beta)) (sqrt.f64 beta)) |
(*.f64 (*.f64 (/.f64 2 alpha) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta)) |
(*.f64 (/.f64 2 (neg.f64 alpha)) (neg.f64 beta)) |
(pow.f64 (*.f64 2 (/.f64 beta alpha)) 1) |
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 2) |
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 3) |
(pow.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3) 1/3) |
(pow.f64 (/.f64 alpha (*.f64 2 beta)) -1) |
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 2)) |
(log.f64 (pow.f64 (exp.f64 2) (/.f64 beta alpha))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 beta alpha))))) |
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha)))) |
(exp.f64 (log.f64 (*.f64 2 (/.f64 beta alpha)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 beta alpha))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 beta alpha)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta alpha))) 1) |
(*.f64 2 (*.f64 (/.f64 beta alpha) 1/2)) |
(*.f64 2 (/.f64 1 (/.f64 2 (/.f64 beta alpha)))) |
(*.f64 beta (/.f64 1 alpha)) |
(*.f64 (*.f64 2 (/.f64 beta alpha)) 1/2) |
(*.f64 (/.f64 beta alpha) 1) |
(*.f64 1 (/.f64 beta alpha)) |
(*.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 (/.f64 beta alpha))) |
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) (*.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 1/2)) |
(*.f64 (cbrt.f64 (/.f64 beta alpha)) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (cbrt.f64 (/.f64 beta alpha))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 2) (*.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 1/2)) |
(*.f64 (/.f64 2 alpha) (*.f64 beta 1/2)) |
(*.f64 1/2 (*.f64 2 (/.f64 beta alpha))) |
(*.f64 (*.f64 -2 (/.f64 beta alpha)) -1/2) |
(*.f64 (/.f64 1 alpha) beta) |
(*.f64 (/.f64 1 (neg.f64 alpha)) (neg.f64 beta)) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 beta (sqrt.f64 alpha))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha))) |
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) alpha)) |
(*.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 alpha)) (/.f64 (sqrt.f64 beta) (sqrt.f64 alpha))) |
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) alpha)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 beta) (sqrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 alpha))) |
(pow.f64 (/.f64 alpha beta) -1) |
(pow.f64 (/.f64 beta alpha) 1) |
(pow.f64 (sqrt.f64 (/.f64 beta alpha)) 2) |
(pow.f64 (cbrt.f64 (/.f64 beta alpha)) 3) |
(pow.f64 (pow.f64 (/.f64 beta alpha) 3) 1/3) |
(neg.f64 (/.f64 (*.f64 2 (/.f64 beta alpha)) -2)) |
(sqrt.f64 (pow.f64 (/.f64 beta alpha) 2)) |
(log.f64 (exp.f64 (/.f64 beta alpha))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta alpha)))) |
(cbrt.f64 (pow.f64 (/.f64 beta alpha) 3)) |
(expm1.f64 (log1p.f64 (/.f64 beta alpha))) |
(exp.f64 (log.f64 (/.f64 beta alpha))) |
(exp.f64 (-.f64 (log.f64 beta) (log.f64 alpha))) |
(exp.f64 (*.f64 (log.f64 (/.f64 beta alpha)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 beta alpha))) |
| Outputs |
|---|
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha)))) 1) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 beta (/.f64 2 alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 (*.f64 2 (/.f64 beta alpha)) 1) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 (/.f64 beta alpha) 2) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 1 (*.f64 2 (/.f64 beta alpha))) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) (sqrt.f64 (*.f64 2 (/.f64 beta alpha)))) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 2)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 2) (cbrt.f64 (*.f64 2 (/.f64 beta alpha)))) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 -2 (/.f64 1 (/.f64 (neg.f64 alpha) beta))) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 (*.f64 (/.f64 2 alpha) 1) beta) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 (*.f64 (/.f64 2 alpha) (sqrt.f64 beta)) (sqrt.f64 beta)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 (*.f64 (/.f64 2 alpha) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 (/.f64 2 (neg.f64 alpha)) (neg.f64 beta)) |
(*.f64 2 (/.f64 beta alpha)) |
(pow.f64 (*.f64 2 (/.f64 beta alpha)) 1) |
(*.f64 2 (/.f64 beta alpha)) |
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 2) |
(*.f64 2 (/.f64 beta alpha)) |
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 3) |
(*.f64 2 (/.f64 beta alpha)) |
(pow.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3) 1/3) |
(*.f64 2 (/.f64 beta alpha)) |
(pow.f64 (/.f64 alpha (*.f64 2 beta)) -1) |
(*.f64 2 (/.f64 beta alpha)) |
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 2)) |
(fabs.f64 (*.f64 2 (/.f64 beta alpha))) |
(log.f64 (pow.f64 (exp.f64 2) (/.f64 beta alpha))) |
(*.f64 2 (/.f64 beta alpha)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 beta alpha))))) |
(*.f64 2 (/.f64 beta alpha)) |
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3)) |
(*.f64 2 (/.f64 beta alpha)) |
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha)))) |
(*.f64 2 (/.f64 beta alpha)) |
(exp.f64 (log.f64 (*.f64 2 (/.f64 beta alpha)))) |
(*.f64 2 (/.f64 beta alpha)) |
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 beta alpha))) 1)) |
(*.f64 2 (/.f64 beta alpha)) |
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 beta alpha)))) |
(*.f64 2 (/.f64 beta alpha)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta alpha))) 1) |
(/.f64 beta alpha) |
(*.f64 2 (*.f64 (/.f64 beta alpha) 1/2)) |
(/.f64 beta alpha) |
(*.f64 2 (/.f64 1 (/.f64 2 (/.f64 beta alpha)))) |
(/.f64 beta alpha) |
(*.f64 beta (/.f64 1 alpha)) |
(/.f64 beta alpha) |
(*.f64 (*.f64 2 (/.f64 beta alpha)) 1/2) |
(/.f64 beta alpha) |
(*.f64 (/.f64 beta alpha) 1) |
(/.f64 beta alpha) |
(*.f64 1 (/.f64 beta alpha)) |
(/.f64 beta alpha) |
(*.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) (*.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 1/2)) |
(/.f64 beta alpha) |
(*.f64 (cbrt.f64 (/.f64 beta alpha)) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)) |
(/.f64 beta alpha) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (cbrt.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 2) (*.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 1/2)) |
(/.f64 beta alpha) |
(*.f64 (/.f64 2 alpha) (*.f64 beta 1/2)) |
(/.f64 beta alpha) |
(*.f64 1/2 (*.f64 2 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
(*.f64 (*.f64 -2 (/.f64 beta alpha)) -1/2) |
(/.f64 beta alpha) |
(*.f64 (/.f64 1 alpha) beta) |
(/.f64 beta alpha) |
(*.f64 (/.f64 1 (neg.f64 alpha)) (neg.f64 beta)) |
(/.f64 beta alpha) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 beta (sqrt.f64 alpha))) |
(/.f64 (/.f64 beta (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(/.f64 beta (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha))) |
(/.f64 (/.f64 beta (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 beta (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) alpha)) |
(/.f64 beta alpha) |
(*.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 alpha)) (/.f64 (sqrt.f64 beta) (sqrt.f64 alpha))) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 beta (sqrt.f64 alpha))) |
(/.f64 (/.f64 beta (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(/.f64 beta (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha))) |
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha))) |
(/.f64 (/.f64 beta (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 beta (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) alpha)) |
(/.f64 beta alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 beta) (sqrt.f64 alpha))) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 beta (sqrt.f64 alpha))) |
(/.f64 (/.f64 beta (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(/.f64 beta (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 alpha))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha))) |
(/.f64 (/.f64 beta (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 beta (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha))) |
(pow.f64 (/.f64 alpha beta) -1) |
(/.f64 beta alpha) |
(pow.f64 (/.f64 beta alpha) 1) |
(/.f64 beta alpha) |
(pow.f64 (sqrt.f64 (/.f64 beta alpha)) 2) |
(/.f64 beta alpha) |
(pow.f64 (cbrt.f64 (/.f64 beta alpha)) 3) |
(/.f64 beta alpha) |
(pow.f64 (pow.f64 (/.f64 beta alpha) 3) 1/3) |
(/.f64 beta alpha) |
(neg.f64 (/.f64 (*.f64 2 (/.f64 beta alpha)) -2)) |
(/.f64 beta alpha) |
(sqrt.f64 (pow.f64 (/.f64 beta alpha) 2)) |
(fabs.f64 (/.f64 beta alpha)) |
(log.f64 (exp.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta alpha)))) |
(/.f64 beta alpha) |
(cbrt.f64 (pow.f64 (/.f64 beta alpha) 3)) |
(/.f64 beta alpha) |
(expm1.f64 (log1p.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
(exp.f64 (log.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
(exp.f64 (-.f64 (log.f64 beta) (log.f64 alpha))) |
(/.f64 beta alpha) |
(exp.f64 (*.f64 (log.f64 (/.f64 beta alpha)) 1)) |
(/.f64 beta alpha) |
(log1p.f64 (expm1.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) |
| ✓ | 0.0b | (-.f64 (neg.f64 beta) (+.f64 2 beta)) |
Compiled 44 to 25 computations (43.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | alpha | @ | inf | (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) |
| 0.0ms | alpha | @ | 0 | (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) |
| 0.0ms | beta | @ | 0 | (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) |
| 0.0ms | beta | @ | -inf | (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) |
| 0.0ms | beta | @ | inf | (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) |
| 1× | batch-egg-rewrite |
| 1670× | associate-/r* |
| 1614× | associate-*l/ |
| 1350× | associate-/l* |
| 1060× | *-commutative |
| 250× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 40 |
| 1 | 233 | 32 |
| 2 | 3557 | 32 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (neg.f64 beta) (+.f64 2 beta)) |
(/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 beta (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 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| 1× | egg-herbie |
| 1156× | +-commutative |
| 732× | associate-+l- |
| 654× | associate--l+ |
| 552× | associate-/l* |
| 508× | associate--r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 399 | 8173 |
| 1 | 1078 | 6619 |
| 2 | 6050 | 6611 |
| 1× | node limit |
| Inputs |
|---|
-2 |
(-.f64 (*.f64 -2 beta) 2) |
(-.f64 (*.f64 -2 beta) 2) |
(-.f64 (*.f64 -2 beta) 2) |
(*.f64 -2 beta) |
(-.f64 (*.f64 -2 beta) 2) |
(-.f64 (*.f64 -2 beta) 2) |
(-.f64 (*.f64 -2 beta) 2) |
(*.f64 -2 beta) |
(-.f64 (*.f64 -2 beta) 2) |
(-.f64 (*.f64 -2 beta) 2) |
(-.f64 (*.f64 -2 beta) 2) |
(/.f64 -2 alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 -2 (/.f64 beta alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 -2 (/.f64 beta alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
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(-.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) 1) |
(-.f64 (/.f64 0 alpha) (+.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta 2) alpha))) |
(-.f64 (/.f64 0 alpha) (-.f64 (/.f64 beta alpha) (neg.f64 (/.f64 (+.f64 beta 2) alpha)))) |
(-.f64 (/.f64 (+.f64 beta -2) alpha) (/.f64 beta alpha)) |
(*.f64 (+.f64 beta (+.f64 beta -2)) (/.f64 1 alpha)) |
(*.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 1) |
(*.f64 1 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) |
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (/.f64 1 alpha))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (*.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) (/.f64 1 alpha))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) |
(*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 -1 alpha)) |
(*.f64 (/.f64 1 alpha) (+.f64 beta (+.f64 beta -2))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (/.f64 1 alpha)) (sqrt.f64 (+.f64 beta (+.f64 beta -2)))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) (/.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2)) |
(*.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha))) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta (+.f64 beta -2)) (sqrt.f64 alpha))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta (+.f64 beta -2)) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (/.f64 -1 alpha) (+.f64 2 (+.f64 beta beta))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) 1) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) alpha)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) alpha) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) 1)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) alpha)) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) alpha) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) (sqrt.f64 alpha))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) (sqrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (sqrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) |
(pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 3) 1/3) |
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 beta -2))) -1) |
(neg.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) (neg.f64 alpha))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) |
(exp.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) |
| Outputs |
|---|
-2 |
(-.f64 (*.f64 -2 beta) 2) |
(fma.f64 -2 beta -2) |
(-.f64 (*.f64 -2 beta) 2) |
(fma.f64 -2 beta -2) |
(-.f64 (*.f64 -2 beta) 2) |
(fma.f64 -2 beta -2) |
(*.f64 -2 beta) |
(-.f64 (*.f64 -2 beta) 2) |
(fma.f64 -2 beta -2) |
(-.f64 (*.f64 -2 beta) 2) |
(fma.f64 -2 beta -2) |
(-.f64 (*.f64 -2 beta) 2) |
(fma.f64 -2 beta -2) |
(*.f64 -2 beta) |
(-.f64 (*.f64 -2 beta) 2) |
(fma.f64 -2 beta -2) |
(-.f64 (*.f64 -2 beta) 2) |
(fma.f64 -2 beta -2) |
(-.f64 (*.f64 -2 beta) 2) |
(fma.f64 -2 beta -2) |
(/.f64 -2 alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -2 (/.f64 beta alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -2 (/.f64 beta alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(+.f64 beta (+.f64 beta -2)) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)))) |
(+.f64 beta (+.f64 beta (+.f64 -2 (fma.f64 (+.f64 -2 beta) 1 (+.f64 beta 2))))) |
(+.f64 (fma.f64 beta 2 -2) (+.f64 (fma.f64 beta 2 -2) 2)) |
(+.f64 (fma.f64 beta 2 -2) (+.f64 2 (fma.f64 beta 2 -2))) |
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))) |
(+.f64 (+.f64 -2 (+.f64 beta beta)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))) |
(+.f64 (fma.f64 beta 2 -2) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))) |
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)))) |
(+.f64 (+.f64 -2 (+.f64 beta beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))) |
(+.f64 (fma.f64 beta 2 -2) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2))) |
(+.f64 beta (+.f64 beta (+.f64 -2 (fma.f64 (+.f64 -2 beta) 1 (+.f64 beta 2))))) |
(+.f64 (fma.f64 beta 2 -2) (+.f64 (fma.f64 beta 2 -2) 2)) |
(+.f64 (fma.f64 beta 2 -2) (+.f64 2 (fma.f64 beta 2 -2))) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))) |
(+.f64 (+.f64 -2 (+.f64 beta beta)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))) |
(+.f64 (fma.f64 beta 2 -2) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))) |
(+.f64 (+.f64 -2 (+.f64 beta beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))) |
(+.f64 (fma.f64 beta 2 -2) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)) (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)))) |
(+.f64 (+.f64 -2 (+.f64 beta beta)) (*.f64 2 (fma.f64 (+.f64 -2 beta) 1 (+.f64 beta 2)))) |
(fma.f64 2 (+.f64 (fma.f64 beta 2 -2) 2) (fma.f64 beta 2 -2)) |
(fma.f64 2 (+.f64 2 (fma.f64 beta 2 -2)) (fma.f64 beta 2 -2)) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)) (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)))) |
(+.f64 (+.f64 beta (+.f64 beta (+.f64 -2 (fma.f64 (+.f64 -2 beta) 1 (+.f64 beta 2))))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))) |
(+.f64 (+.f64 (fma.f64 beta 2 -2) 2) (+.f64 (fma.f64 beta 2 -2) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))) |
(+.f64 (+.f64 2 (fma.f64 beta 2 -2)) (+.f64 (fma.f64 beta 2 -2) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)) (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)))) |
(+.f64 (+.f64 beta (+.f64 beta (+.f64 -2 (fma.f64 (+.f64 -2 beta) 1 (+.f64 beta 2))))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))) |
(+.f64 (+.f64 (fma.f64 beta 2 -2) 2) (+.f64 (fma.f64 beta 2 -2) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)))) |
(+.f64 (+.f64 2 (fma.f64 beta 2 -2)) (+.f64 (fma.f64 beta 2 -2) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)))) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))) |
(+.f64 (+.f64 beta (+.f64 beta (+.f64 -2 (fma.f64 (+.f64 -2 beta) 1 (+.f64 beta 2))))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))) |
(+.f64 (+.f64 (fma.f64 beta 2 -2) 2) (+.f64 (fma.f64 beta 2 -2) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))) |
(+.f64 (+.f64 2 (fma.f64 beta 2 -2)) (+.f64 (fma.f64 beta 2 -2) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))) |
(+.f64 beta (+.f64 (+.f64 -2 beta) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))))) |
(fma.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)) (fma.f64 beta 2 -2)) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))) |
(+.f64 (+.f64 (+.f64 -2 (+.f64 beta beta)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))) |
(+.f64 (fma.f64 beta 2 -2) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)))) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)))) |
(+.f64 (+.f64 beta (+.f64 beta (+.f64 -2 (fma.f64 (+.f64 -2 beta) 1 (+.f64 beta 2))))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))) |
(+.f64 (+.f64 (fma.f64 beta 2 -2) 2) (+.f64 (fma.f64 beta 2 -2) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)))) |
(+.f64 (+.f64 2 (fma.f64 beta 2 -2)) (+.f64 (fma.f64 beta 2 -2) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)))) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)))) |
(+.f64 (+.f64 (+.f64 -2 (+.f64 beta beta)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))) |
(+.f64 (fma.f64 beta 2 -2) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)))) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)))) |
(+.f64 (+.f64 -2 (+.f64 beta beta)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)))) |
(fma.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)) (fma.f64 beta 2 -2)) |
(+.f64 (+.f64 beta -2) beta) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(+.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)))) |
(+.f64 beta (+.f64 beta (+.f64 -2 (fma.f64 (+.f64 -2 beta) 1 (+.f64 beta 2))))) |
(+.f64 (fma.f64 beta 2 -2) (+.f64 (fma.f64 beta 2 -2) 2)) |
(+.f64 (fma.f64 beta 2 -2) (+.f64 2 (fma.f64 beta 2 -2))) |
(+.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))) |
(+.f64 (+.f64 -2 (+.f64 beta beta)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))) |
(+.f64 (fma.f64 beta 2 -2) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))) |
(+.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)))) |
(+.f64 (+.f64 -2 (+.f64 beta beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))) |
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(+.f64 0 (+.f64 beta (+.f64 beta -2))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(+.f64 (+.f64 beta beta) -2) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)) (+.f64 beta (+.f64 beta -2))) |
(+.f64 beta (+.f64 beta (+.f64 -2 (fma.f64 (+.f64 -2 beta) 1 (+.f64 beta 2))))) |
(+.f64 (fma.f64 beta 2 -2) (+.f64 (fma.f64 beta 2 -2) 2)) |
(+.f64 (fma.f64 beta 2 -2) (+.f64 2 (fma.f64 beta 2 -2))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)) (+.f64 beta (+.f64 beta -2))) |
(+.f64 (+.f64 -2 (+.f64 beta beta)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))) |
(+.f64 (fma.f64 beta 2 -2) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)) (+.f64 beta (+.f64 beta -2))) |
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(+.f64 (+.f64 (+.f64 beta -2) 0) beta) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(+.f64 (-.f64 (+.f64 beta -2) 0) beta) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(+.f64 (-.f64 beta (exp.f64 (log.f64 (+.f64 3 beta)))) 1) |
(+.f64 1 (-.f64 beta (+.f64 beta 3))) |
(-.f64 beta (+.f64 beta 2)) |
(+.f64 -2 (-.f64 beta beta)) |
(+.f64 (-.f64 beta (/.f64 4 (+.f64 beta 2))) (/.f64 (*.f64 beta beta) (+.f64 beta 2))) |
(+.f64 beta (+.f64 (/.f64 -4 (+.f64 beta 2)) (*.f64 (/.f64 beta (+.f64 beta 2)) beta))) |
(+.f64 beta (+.f64 (*.f64 (/.f64 beta (+.f64 beta 2)) beta) (/.f64 -4 (+.f64 beta 2)))) |
(+.f64 (-.f64 (+.f64 beta -2) (exp.f64 (log1p.f64 beta))) 1) |
(+.f64 1 (+.f64 beta (-.f64 -2 (exp.f64 (log1p.f64 beta))))) |
(+.f64 beta (-.f64 -2 (expm1.f64 (log1p.f64 beta)))) |
(*.f64 (+.f64 beta (+.f64 beta -2)) 1) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(*.f64 1 (+.f64 beta (+.f64 beta -2))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (sqrt.f64 (+.f64 beta (+.f64 beta -2)))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(*.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2)) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (cbrt.f64 (+.f64 beta (+.f64 beta -2)))) |
(+.f64 -2 (+.f64 beta beta)) |
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(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 beta 2 2)) |
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(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (fma.f64 beta 2 2)))) |
(*.f64 (+.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2))) (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2))) (+.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (+.f64 2 (+.f64 beta beta))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) |
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (+.f64 2 (+.f64 beta beta))) |
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 beta 2 2)) |
(*.f64 (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) |
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))) |
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (fma.f64 beta 2 2)))) |
(/.f64 (+.f64 beta (+.f64 beta -2)) 1) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(/.f64 1 (/.f64 -1 (+.f64 2 (+.f64 beta beta)))) |
(fma.f64 -2 beta -2) |
(/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 beta -2))))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(/.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 beta -2))))) |
(+.f64 -2 (+.f64 beta beta)) |
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(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 beta 2 2)) |
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(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 beta 2 2)) |
(/.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 (+.f64 2 (+.f64 beta beta)) (+.f64 beta (+.f64 beta -2)))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
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(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (fma.f64 beta 2 2)))) |
(/.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))) (+.f64 beta (+.f64 beta -2)))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
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(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (+.f64 2 (+.f64 beta beta))) (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)))) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 beta 2 2))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))) (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))) (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (fma.f64 beta 2 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (+.f64 2 (+.f64 beta beta)) (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 2 (+.f64 beta beta))) (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)))) |
(/.f64 (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (fma.f64 beta 2 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))) (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (fma.f64 beta 2 2))) (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta (+.f64 beta -2))) |
(neg.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (+.f64 -2 (+.f64 beta beta)))) |
(/.f64 (+.f64 (*.f64 beta (neg.f64 beta)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 beta 2 -2)) |
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (neg.f64 beta))) (fma.f64 beta 2 -2)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))))) |
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(*.f64 (fma.f64 beta 2 -2) (/.f64 (-.f64 beta (+.f64 -2 beta)) (fma.f64 beta 2 2))) |
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(*.f64 (fma.f64 beta 2 -2) (/.f64 (+.f64 -2 (-.f64 beta beta)) (fma.f64 beta 2 -2))) |
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(*.f64 (fma.f64 beta 2 -2) (/.f64 (+.f64 -2 (-.f64 beta beta)) (fma.f64 beta 2 -2))) |
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(log.f64 (exp.f64 (+.f64 beta (+.f64 beta -2)))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 beta -2))))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 3)) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 beta -2)))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(exp.f64 (log.f64 (+.f64 beta (+.f64 beta -2)))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 beta -2)))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(fma.f64 1 beta (+.f64 beta -2)) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta -2)) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta -2)) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(fma.f64 -1 beta (+.f64 beta -2)) |
(+.f64 1 (-.f64 beta (+.f64 beta 3))) |
(-.f64 beta (+.f64 beta 2)) |
(+.f64 -2 (-.f64 beta beta)) |
(+.f64 (/.f64 beta alpha) (neg.f64 (/.f64 (+.f64 beta 2) alpha))) |
(-.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) |
(+.f64 (neg.f64 (/.f64 (+.f64 beta 2) alpha)) (/.f64 beta alpha)) |
(-.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) |
(+.f64 (-.f64 (/.f64 (+.f64 beta -2) alpha) (/.f64 0 alpha)) (/.f64 beta alpha)) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(-.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) 1) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(-.f64 (/.f64 0 alpha) (+.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta 2) alpha))) |
(-.f64 0 (+.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta 2) alpha))) |
(-.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha) (/.f64 beta alpha)) |
(-.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta alpha)) |
(-.f64 (/.f64 0 alpha) (-.f64 (/.f64 beta alpha) (neg.f64 (/.f64 (+.f64 beta 2) alpha)))) |
(-.f64 0 (+.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta 2) alpha))) |
(-.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha) (/.f64 beta alpha)) |
(-.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta alpha)) |
(-.f64 (/.f64 (+.f64 beta -2) alpha) (/.f64 beta alpha)) |
(-.f64 (/.f64 (+.f64 -2 beta) alpha) (/.f64 beta alpha)) |
(*.f64 (+.f64 beta (+.f64 beta -2)) (/.f64 1 alpha)) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(*.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 1) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(*.f64 1 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (*.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 2)) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 -2 (+.f64 beta beta)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (+.f64 beta beta))) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 -2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 -2)) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 -1 alpha)) |
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 (/.f64 1 alpha) (+.f64 beta (+.f64 beta -2))) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (/.f64 1 alpha)) (sqrt.f64 (+.f64 beta (+.f64 beta -2)))) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) (/.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2)) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(*.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha))) |
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 alpha)) (+.f64 -2 (+.f64 beta beta))) (sqrt.f64 alpha)) |
(/.f64 (/.f64 (fma.f64 beta 2 -2) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta (+.f64 beta -2)) (sqrt.f64 alpha))) |
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 alpha)) (+.f64 -2 (+.f64 beta beta))) (sqrt.f64 alpha)) |
(/.f64 (/.f64 (fma.f64 beta 2 -2) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta (+.f64 beta -2)) (cbrt.f64 alpha))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 -2 (+.f64 beta beta)) (cbrt.f64 alpha))) |
(/.f64 (/.f64 (fma.f64 beta 2 -2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha)) |
(*.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 -2 (+.f64 beta beta)) (cbrt.f64 alpha))) |
(/.f64 (/.f64 (fma.f64 beta 2 -2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha)) |
(*.f64 (/.f64 -1 alpha) (+.f64 2 (+.f64 beta beta))) |
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 2 alpha))) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) 1) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) alpha)) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) alpha) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) 1)) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (cbrt.f64 alpha))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 -2 (+.f64 beta beta)) (cbrt.f64 alpha))) |
(/.f64 (/.f64 (fma.f64 beta 2 -2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 -2 (+.f64 beta beta)) (cbrt.f64 alpha))) |
(/.f64 (/.f64 (fma.f64 beta 2 -2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) alpha)) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) alpha) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) 1)) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) (sqrt.f64 alpha))) |
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 alpha)) (+.f64 -2 (+.f64 beta beta))) (sqrt.f64 alpha)) |
(/.f64 (/.f64 (fma.f64 beta 2 -2) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) (sqrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (sqrt.f64 alpha))) |
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 alpha)) (+.f64 -2 (+.f64 beta beta))) (sqrt.f64 alpha)) |
(/.f64 (/.f64 (fma.f64 beta 2 -2) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 -2 (+.f64 beta beta)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (+.f64 beta beta))) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 -2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 -2)) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 1) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 2) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 3) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(pow.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 3) 1/3) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 beta -2))) -1) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(neg.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) (neg.f64 alpha))) |
(/.f64 (neg.f64 (+.f64 -2 (+.f64 beta beta))) (neg.f64 alpha)) |
(/.f64 (+.f64 (*.f64 -2 beta) 2) (neg.f64 alpha)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -2 (+.f64 beta beta)) alpha) 2)) |
(fabs.f64 (/.f64 (fma.f64 beta 2 -2) alpha)) |
(log.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)))) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 3)) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(exp.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
Compiled 22815 to 17256 computations (24.4% saved)
13 alts after pruning (6 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 621 | 3 | 624 |
| Fresh | 4 | 3 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 6 | 8 |
| Total | 627 | 13 | 640 |
| Status | Error | Program |
|---|---|---|
| ✓ | 47.2b | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
| ✓ | 49.4b | (/.f64 (/.f64 2 alpha) 2) |
| ▶ | 15.9b | (/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) 2) |
| 20.6b | (/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2) | |
| ▶ | 42.7b | (/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
| ▶ | 32.4b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| ✓ | 14.2b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
| ✓ | 15.9b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| ✓ | 35.6b | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| ✓ | 47.2b | (/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2) |
| ▶ | 59.5b | (/.f64 beta alpha) |
| ✓ | 38.4b | (/.f64 2 2) |
| ▶ | 59.5b | (*.f64 (/.f64 1 alpha) beta) |
Compiled 187 to 154 computations (17.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (/.f64 beta (+.f64 beta 2)) 1) | |
| ✓ | 0.0b | (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
| ✓ | 0.0b | (/.f64 1 (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
| 0.0b | (/.f64 beta (+.f64 beta 2)) |
Compiled 53 to 41 computations (22.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | beta | @ | inf | (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
| 0.0ms | beta | @ | -inf | (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
| 0.0ms | beta | @ | 0 | (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
| 0.0ms | beta | @ | 0 | (/.f64 1 (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
| 0.0ms | beta | @ | inf | (/.f64 1 (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
| 1× | batch-egg-rewrite |
| 1312× | associate-/r* |
| 922× | *-commutative |
| 870× | associate-/l* |
| 648× | associate-/r/ |
| 472× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 44 |
| 1 | 233 | 44 |
| 2 | 2932 | 44 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
| Outputs |
|---|
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(+.f64 1 (/.f64 beta (+.f64 beta 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))))))) |
| 1× | egg-herbie |
| 1808× | unswap-sqr |
| 1022× | associate-/r/ |
| 708× | associate-/l/ |
| 584× | associate-+l+ |
| 566× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 353 | 6692 |
| 1 | 1024 | 6390 |
| 2 | 3530 | 6362 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 1/2 beta)) |
(+.f64 1 (+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
1 |
(+.f64 1 (*.f64 -1/2 beta)) |
(+.f64 (*.f64 1/2 (pow.f64 beta 2)) (+.f64 1 (*.f64 -1/2 beta))) |
(+.f64 (*.f64 1/2 (pow.f64 beta 2)) (+.f64 (*.f64 -1/2 (pow.f64 beta 3)) (+.f64 1 (*.f64 -1/2 beta)))) |
1/2 |
(+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) (*.f64 1/2 (/.f64 1 (pow.f64 beta 2)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) (+.f64 1/2 (*.f64 1/2 (/.f64 1 (pow.f64 beta 3))))) (*.f64 1/2 (/.f64 1 (pow.f64 beta 2)))) |
1/2 |
(+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) (*.f64 1/2 (/.f64 1 (pow.f64 beta 2)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) (+.f64 1/2 (*.f64 1/2 (/.f64 1 (pow.f64 beta 3))))) (*.f64 1/2 (/.f64 1 (pow.f64 beta 2)))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (*.f64 -1 (/.f64 beta (-.f64 -2 beta)))) |
(+.f64 1 (*.f64 (/.f64 beta (-.f64 -2 beta)) -1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(+.f64 (*.f64 -1 (/.f64 beta (-.f64 -2 beta))) 1) |
(+.f64 (*.f64 (/.f64 beta (-.f64 -2 beta)) -1) 1) |
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 0) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 beta (+.f64 beta 2))))) 1) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(-.f64 (+.f64 2 (/.f64 beta (+.f64 beta 2))) 1) |
(*.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1) |
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))))) |
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2) (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2) (neg.f64 (neg.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))))) |
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (-.f64 -2 beta)))))) |
(*.f64 -1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))) |
(*.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))) -1) |
(*.f64 (sqrt.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))) (neg.f64 (sqrt.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))) (cbrt.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))) (neg.f64 (cbrt.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2))) (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (neg.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2)) (neg.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(*.f64 (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) |
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (-.f64 -2 beta))))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -1/2) -1) (pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -1/2) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)) -1) (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))) -1)) |
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))) -1) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)) -1)) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) (+.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 1) (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2) 1) (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2))) 1) (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2))) (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (sqrt.f64 -1)) (sqrt.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2) -1) (cbrt.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1)) (+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2))) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) (+.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (/.f64 beta (+.f64 beta 2)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) 3) (pow.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2))) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2))) (-.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2))) (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2))) -1) (cbrt.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))) (sqrt.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))) (cbrt.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))))) (cbrt.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2))) (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1) |
(pow.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) -1) |
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) 1/3) |
(neg.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (-.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (-.f64 -2 beta))))))) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3)) |
(expm1.f64 (log.f64 (+.f64 2 (/.f64 beta (+.f64 beta 2))))) |
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) |
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1) |
(fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1) |
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1) |
(+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) (/.f64 beta (+.f64 beta 2))) (*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) -1)) |
(+.f64 (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (-.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))) |
(+.f64 (*.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1))) (*.f64 -1 (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)))) |
(+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)))) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2))) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))) |
(+.f64 (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2))) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)))) (*.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) 1) |
(*.f64 1 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(*.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 1) |
(*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -1/2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -1/2)) |
(*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))))) |
(*.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)) (/.f64 -1 (cbrt.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)) (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))))) |
(*.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1))) |
(*.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (-.f64 -2 beta)))) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)))) |
(*.f64 -1 (/.f64 1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))) |
(*.f64 (/.f64 1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))) -1) |
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))) (cbrt.f64 (/.f64 1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))))) (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2)) (/.f64 -1 (cbrt.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (+.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (-.f64 -2 beta))))) |
(*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (/.f64 -1 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2))) (/.f64 1 (cbrt.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2) -1)) |
(*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -1/2) 1) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -1/2)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)) 1) (/.f64 -1 (cbrt.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2)) 1) (/.f64 -1 (cbrt.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))))) |
(*.f64 (/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (-.f64 -2 beta)))) (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) 1)) (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1)) |
(*.f64 (/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (-.f64 -2 beta)))) (+.f64 1 (pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)))) |
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)))) (/.f64 -1 (cbrt.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))))) |
(*.f64 (/.f64 1 (+.f64 (neg.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) 1)) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (-.f64 -2 beta)))))) |
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -1/2) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (-.f64 -2 beta)))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -1/2) (sqrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1))) (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)) -1) (cbrt.f64 (/.f64 1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (-.f64 -2 beta)))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1))) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(*.f64 (/.f64 -1 (+.f64 (neg.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) 1)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(*.f64 (/.f64 -1 (+.f64 -1 (neg.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)))) (+.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (-.f64 -2 beta))))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2)) -1) (cbrt.f64 (/.f64 1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (-.f64 -2 beta)))))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1))) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(*.f64 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) 1)) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))) |
(*.f64 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (-.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) 3) 1)) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))))) (sqrt.f64 (/.f64 1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))) (cbrt.f64 (/.f64 1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))))) (cbrt.f64 (/.f64 1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))))) |
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -1/2)) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)))) (/.f64 -1 (cbrt.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))))) |
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -1) |
(pow.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 1) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -1/2) 2) |
(pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 3) 1/3) |
(neg.f64 (/.f64 1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2))))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 1/2 beta)) |
(fma.f64 1/2 beta 1) |
(+.f64 1 (+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2)))) |
(+.f64 1 (fma.f64 1/2 beta (*.f64 -1/4 (*.f64 beta beta)))) |
(+.f64 1 (fma.f64 1/2 beta (*.f64 beta (*.f64 beta -1/4)))) |
(+.f64 1 (*.f64 beta (+.f64 1/2 (*.f64 beta -1/4)))) |
(+.f64 1 (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))) |
(+.f64 1 (fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3))))) |
(+.f64 (fma.f64 1/2 beta 1) (*.f64 (*.f64 beta beta) (+.f64 -1/4 (*.f64 beta 1/8)))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 2 (/.f64 -2 beta)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))) |
(+.f64 2 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta))) |
(+.f64 (+.f64 2 (/.f64 -2 beta)) (/.f64 (/.f64 4 beta) beta)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))) |
(+.f64 2 (-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 (+.f64 (+.f64 2 (/.f64 -2 beta)) (/.f64 (/.f64 4 beta) beta)) (/.f64 -8 (pow.f64 beta 3))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 2 (/.f64 -2 beta)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))) |
(+.f64 2 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta))) |
(+.f64 (+.f64 2 (/.f64 -2 beta)) (/.f64 (/.f64 4 beta) beta)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3))))) |
(+.f64 2 (-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 (+.f64 (+.f64 2 (/.f64 -2 beta)) (/.f64 (/.f64 4 beta) beta)) (/.f64 -8 (pow.f64 beta 3))) |
1 |
(+.f64 1 (*.f64 -1/2 beta)) |
(+.f64 1 (*.f64 beta -1/2)) |
(fma.f64 beta -1/2 1) |
(+.f64 (*.f64 1/2 (pow.f64 beta 2)) (+.f64 1 (*.f64 -1/2 beta))) |
(fma.f64 1/2 (*.f64 beta beta) (+.f64 1 (*.f64 beta -1/2))) |
(fma.f64 1/2 (*.f64 beta beta) (fma.f64 beta -1/2 1)) |
(+.f64 (*.f64 1/2 (pow.f64 beta 2)) (+.f64 (*.f64 -1/2 (pow.f64 beta 3)) (+.f64 1 (*.f64 -1/2 beta)))) |
(fma.f64 1/2 (*.f64 beta beta) (fma.f64 -1/2 (pow.f64 beta 3) (+.f64 1 (*.f64 beta -1/2)))) |
(fma.f64 1/2 (*.f64 beta beta) (fma.f64 (pow.f64 beta 3) -1/2 (fma.f64 beta -1/2 1))) |
1/2 |
(+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) |
(+.f64 1/2 (/.f64 1/2 beta)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) (*.f64 1/2 (/.f64 1 (pow.f64 beta 2)))) |
(+.f64 (/.f64 1/2 beta) (-.f64 1/2 (/.f64 1/2 (*.f64 beta beta)))) |
(+.f64 1/2 (+.f64 (/.f64 1/2 beta) (/.f64 -1/2 (*.f64 beta beta)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) (+.f64 1/2 (*.f64 1/2 (/.f64 1 (pow.f64 beta 3))))) (*.f64 1/2 (/.f64 1 (pow.f64 beta 2)))) |
(-.f64 (+.f64 (+.f64 1/2 (/.f64 1/2 beta)) (/.f64 1/2 (pow.f64 beta 3))) (/.f64 1/2 (*.f64 beta beta))) |
(+.f64 (+.f64 1/2 (/.f64 1/2 beta)) (+.f64 (/.f64 1/2 (pow.f64 beta 3)) (/.f64 -1/2 (*.f64 beta beta)))) |
(+.f64 1/2 (+.f64 (/.f64 1/2 beta) (+.f64 (/.f64 1/2 (pow.f64 beta 3)) (/.f64 -1/2 (*.f64 beta beta))))) |
1/2 |
(+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) |
(+.f64 1/2 (/.f64 1/2 beta)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) 1/2) (*.f64 1/2 (/.f64 1 (pow.f64 beta 2)))) |
(+.f64 (/.f64 1/2 beta) (-.f64 1/2 (/.f64 1/2 (*.f64 beta beta)))) |
(+.f64 1/2 (+.f64 (/.f64 1/2 beta) (/.f64 -1/2 (*.f64 beta beta)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) (+.f64 1/2 (*.f64 1/2 (/.f64 1 (pow.f64 beta 3))))) (*.f64 1/2 (/.f64 1 (pow.f64 beta 2)))) |
(-.f64 (+.f64 (+.f64 1/2 (/.f64 1/2 beta)) (/.f64 1/2 (pow.f64 beta 3))) (/.f64 1/2 (*.f64 beta beta))) |
(+.f64 (+.f64 1/2 (/.f64 1/2 beta)) (+.f64 (/.f64 1/2 (pow.f64 beta 3)) (/.f64 -1/2 (*.f64 beta beta)))) |
(+.f64 1/2 (+.f64 (/.f64 1/2 beta) (+.f64 (/.f64 1/2 (pow.f64 beta 3)) (/.f64 -1/2 (*.f64 beta beta))))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (*.f64 -1 (/.f64 beta (-.f64 -2 beta)))) |
(fma.f64 -1 (/.f64 beta (-.f64 -2 beta)) 1) |
(-.f64 1 (/.f64 beta (-.f64 -2 beta))) |
(+.f64 1 (*.f64 (/.f64 beta (-.f64 -2 beta)) -1)) |
(fma.f64 -1 (/.f64 beta (-.f64 -2 beta)) 1) |
(-.f64 1 (/.f64 beta (-.f64 -2 beta))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (/.f64 beta (-.f64 -2 beta))) 1) |
(fma.f64 -1 (/.f64 beta (-.f64 -2 beta)) 1) |
(-.f64 1 (/.f64 beta (-.f64 -2 beta))) |
(+.f64 (*.f64 (/.f64 beta (-.f64 -2 beta)) -1) 1) |
(fma.f64 -1 (/.f64 beta (-.f64 -2 beta)) 1) |
(-.f64 1 (/.f64 beta (-.f64 -2 beta))) |
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 0) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 beta (+.f64 beta 2))))) 1) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(-.f64 (+.f64 2 (/.f64 beta (+.f64 beta 2))) 1) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
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(*.f64 (cbrt.f64 (/.f64 1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (-.f64 -2 beta)))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 beta (-.f64 -2 beta)) (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)))) (cbrt.f64 (+.f64 (/.f64 beta (-.f64 -2 beta)) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1))) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)))) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(*.f64 (/.f64 -1 (+.f64 (neg.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) 1)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(*.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2))) (/.f64 1 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)))) |
(/.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2))) (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))) |
(*.f64 (/.f64 -1 (+.f64 -1 (neg.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)))) (+.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (-.f64 -2 beta))))) |
(*.f64 (+.f64 -1 (neg.f64 (+.f64 (/.f64 beta (-.f64 -2 beta)) (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)))) (/.f64 1 (-.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)))) |
(/.f64 (-.f64 -1 (+.f64 (/.f64 beta (-.f64 -2 beta)) (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))) (-.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2)) -1) (cbrt.f64 (/.f64 1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))))) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2)))) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))) (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (-.f64 -2 beta)))))) |
(*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 beta (-.f64 -2 beta)) (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)))) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2)))) |
(*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 beta (-.f64 -2 beta)) (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)))) (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 beta (-.f64 -2 beta)) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)))) (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1))) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2)))) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)))))) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))))) |
(*.f64 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) 1)) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))) |
(*.f64 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 4) -1)) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))) |
(*.f64 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 4))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))) |
(*.f64 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (-.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) 3) 1)) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)))) |
(*.f64 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) 3) -1)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 4) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)))) |
(*.f64 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 6))) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 4) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)))) |
(*.f64 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 6))) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 4)))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))))) (sqrt.f64 (/.f64 1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))))) |
(/.f64 -1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))) (cbrt.f64 (/.f64 1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))))) (cbrt.f64 (/.f64 1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))))) |
(/.f64 -1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))) |
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -1/2)) |
(*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)))) (/.f64 -1 (cbrt.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))))) |
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2))) (cbrt.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))) |
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)) (neg.f64 (cbrt.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))))) |
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -1) |
(/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(pow.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 1) |
(/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -1/2) 2) |
(/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))) 3) |
(/.f64 -1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 3) 1/3) |
(/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(neg.f64 (/.f64 1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta))))) |
(/.f64 -1 (+.f64 -1 (/.f64 beta (-.f64 -2 beta)))) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2))))))) |
(/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 3)) |
(/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(exp.f64 (neg.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) |
Compiled 7 to 3 computations (57.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 1 alpha) beta) |
Compiled 13 to 8 computations (38.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | alpha | @ | 0 | (*.f64 (/.f64 1 alpha) beta) |
| 0.0ms | alpha | @ | -inf | (*.f64 (/.f64 1 alpha) beta) |
| 0.0ms | beta | @ | inf | (*.f64 (/.f64 1 alpha) beta) |
| 0.0ms | alpha | @ | inf | (*.f64 (/.f64 1 alpha) beta) |
| 0.0ms | beta | @ | -inf | (*.f64 (/.f64 1 alpha) beta) |
| 1× | batch-egg-rewrite |
| 1280× | add-sqr-sqrt |
| 1264× | *-un-lft-identity |
| 1174× | add-cube-cbrt |
| 1156× | add-cbrt-cube |
| 1142× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 7 |
| 1 | 138 | 7 |
| 2 | 1628 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 alpha) beta) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 beta alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 beta) (/.f64 alpha (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 alpha (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 beta -1) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 beta) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 beta 1) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 beta (sqrt.f64 alpha)) (sqrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 beta (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 beta) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 beta alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 beta alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 beta alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 beta alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 beta alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 beta alpha))))))) |
| 1× | egg-herbie |
| 1022× | associate--l- |
| 852× | associate--r- |
| 808× | associate-/l/ |
| 504× | *-commutative |
| 498× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 315 |
| 1 | 122 | 315 |
| 2 | 393 | 315 |
| 3 | 2054 | 315 |
| 4 | 6749 | 315 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(-.f64 (+.f64 1 (/.f64 beta alpha)) 1) |
(/.f64 1 (/.f64 alpha beta)) |
(/.f64 beta alpha) |
(/.f64 (sqrt.f64 beta) (/.f64 alpha (sqrt.f64 beta))) |
(/.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 alpha (cbrt.f64 beta))) |
(/.f64 (*.f64 beta -1) (neg.f64 alpha)) |
(/.f64 (*.f64 -1 beta) (neg.f64 alpha)) |
(/.f64 (/.f64 beta 1) alpha) |
(/.f64 (/.f64 beta (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(/.f64 (/.f64 beta (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha)) |
(/.f64 (neg.f64 beta) (neg.f64 alpha)) |
(pow.f64 (/.f64 beta alpha) 1) |
(pow.f64 (sqrt.f64 (/.f64 beta alpha)) 2) |
(pow.f64 (cbrt.f64 (/.f64 beta alpha)) 3) |
(pow.f64 (pow.f64 (/.f64 beta alpha) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 beta alpha) 2)) |
(log.f64 (exp.f64 (/.f64 beta alpha))) |
(cbrt.f64 (pow.f64 (/.f64 beta alpha) 3)) |
(expm1.f64 (log1p.f64 (/.f64 beta alpha))) |
(exp.f64 (log.f64 (/.f64 beta alpha))) |
(log1p.f64 (expm1.f64 (/.f64 beta alpha))) |
| Outputs |
|---|
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(-.f64 (+.f64 1 (/.f64 beta alpha)) 1) |
(/.f64 beta alpha) |
(/.f64 1 (/.f64 alpha beta)) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 (sqrt.f64 beta) (/.f64 alpha (sqrt.f64 beta))) |
(/.f64 beta alpha) |
(/.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 alpha (cbrt.f64 beta))) |
(/.f64 beta alpha) |
(/.f64 (*.f64 beta -1) (neg.f64 alpha)) |
(/.f64 beta alpha) |
(/.f64 (*.f64 -1 beta) (neg.f64 alpha)) |
(/.f64 beta alpha) |
(/.f64 (/.f64 beta 1) alpha) |
(/.f64 beta alpha) |
(/.f64 (/.f64 beta (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(/.f64 beta alpha) |
(/.f64 (/.f64 beta (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha)) |
(/.f64 beta alpha) |
(/.f64 (neg.f64 beta) (neg.f64 alpha)) |
(/.f64 beta alpha) |
(pow.f64 (/.f64 beta alpha) 1) |
(/.f64 beta alpha) |
(pow.f64 (sqrt.f64 (/.f64 beta alpha)) 2) |
(/.f64 beta alpha) |
(pow.f64 (cbrt.f64 (/.f64 beta alpha)) 3) |
(/.f64 beta alpha) |
(pow.f64 (pow.f64 (/.f64 beta alpha) 3) 1/3) |
(/.f64 beta alpha) |
(sqrt.f64 (pow.f64 (/.f64 beta alpha) 2)) |
(/.f64 beta alpha) |
(log.f64 (exp.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
(cbrt.f64 (pow.f64 (/.f64 beta alpha) 3)) |
(/.f64 beta alpha) |
(expm1.f64 (log1p.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
(exp.f64 (log.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
(log1p.f64 (expm1.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
Compiled 19 to 15 computations (21.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 alpha (+.f64 alpha 2)) |
| ✓ | 1.9b | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
Compiled 29 to 21 computations (27.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | alpha | @ | -inf | (/.f64 alpha (+.f64 alpha 2)) |
| 0.0ms | alpha | @ | inf | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | -inf | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | 0 | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | inf | (/.f64 alpha (+.f64 alpha 2)) |
| 1× | batch-egg-rewrite |
| 1378× | associate-*r/ |
| 948× | associate-*l/ |
| 902× | associate-/r* |
| 796× | *-commutative |
| 678× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 1 | 180 | 32 |
| 2 | 2431 | 32 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(/.f64 alpha (+.f64 alpha 2)) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha 1) 1) (/.f64 1 (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 alpha 2)) (cbrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 alpha) (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 alpha) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 alpha 2) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha 1) (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (sqrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (fma.f64 alpha alpha -4))) (sqrt.f64 (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (cbrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (fma.f64 alpha alpha -4))) (cbrt.f64 (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 alpha (-.f64 -2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))))))) |
| 1× | egg-herbie |
| 1420× | associate-/r/ |
| 826× | associate-+l+ |
| 686× | associate-+r+ |
| 600× | +-commutative |
| 492× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 395 | 7727 |
| 1 | 1123 | 6943 |
| 2 | 4260 | 6921 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 alpha)) |
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(*.f64 1/2 alpha) |
(+.f64 (*.f64 1/2 alpha) (*.f64 -1/4 (pow.f64 alpha 2))) |
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2)))) |
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha)))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1) |
(+.f64 (-.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1) |
(*.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) |
(*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1) |
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(*.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) |
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (/.f64 alpha (+.f64 alpha 2))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (-.f64 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (-.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1)))) |
(/.f64 1 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))) |
(/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (/.f64 (+.f64 alpha 2) alpha))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (-.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 3)) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 3)) (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha))))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (-.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) 1) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3)) 1) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (-.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) 1) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) 1) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (/.f64 (+.f64 alpha 2) alpha))) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 3)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) 1) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1) |
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3)) |
(expm1.f64 (log.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha))))) |
(exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))) |
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(+.f64 (*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) alpha) (*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) -2)) |
(+.f64 (*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha alpha)) (*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 -2 alpha)))) |
(+.f64 (*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 -2 alpha))) (*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha alpha))) |
(+.f64 (*.f64 alpha (/.f64 alpha (fma.f64 alpha alpha -4))) (*.f64 -2 (/.f64 alpha (fma.f64 alpha alpha -4)))) |
(+.f64 (*.f64 (*.f64 alpha alpha) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))) (*.f64 (+.f64 4 (*.f64 -2 alpha)) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))))) |
(+.f64 (*.f64 (+.f64 4 (*.f64 -2 alpha)) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))) (*.f64 (*.f64 alpha alpha) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))))) |
(-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) |
(*.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(*.f64 alpha (/.f64 1 (+.f64 alpha 2))) |
(*.f64 (/.f64 alpha (+.f64 alpha 2)) 1) |
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (sqrt.f64 alpha) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2))) |
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)) |
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2))) |
(*.f64 (+.f64 alpha -2) (/.f64 alpha (fma.f64 alpha alpha -4))) |
(*.f64 (/.f64 1 (+.f64 alpha 2)) alpha) |
(*.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))) |
(*.f64 (neg.f64 alpha) (/.f64 -1 (+.f64 alpha 2))) |
(*.f64 (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)) (sqrt.f64 alpha)) |
(*.f64 (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)) (/.f64 (sqrt.f64 alpha) 1)) |
(*.f64 (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)) (pow.f64 (cbrt.f64 alpha) 2)) |
(*.f64 (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 alpha 1) (/.f64 1 (+.f64 alpha 2))) |
(*.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (/.f64 1 (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) |
(*.f64 (/.f64 1 (fma.f64 alpha alpha -4)) (*.f64 alpha (+.f64 alpha -2))) |
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2)) |
(*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) |
(*.f64 (/.f64 -1 (+.f64 alpha 2)) (neg.f64 alpha)) |
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2))) |
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))) (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (/.f64 (/.f64 alpha 1) 1) (/.f64 1 (+.f64 alpha 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 alpha 2)) (cbrt.f64 alpha)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 alpha (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 alpha -2)) |
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 alpha 2) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha)) |
(*.f64 (/.f64 alpha (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha)) |
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 (/.f64 alpha 1) (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha)) |
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (sqrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (fma.f64 alpha alpha -4))) (sqrt.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (cbrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (fma.f64 alpha alpha -4))) (cbrt.f64 (+.f64 alpha -2))) |
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1) |
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) |
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3) |
(pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1) |
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3) |
(neg.f64 (/.f64 alpha (-.f64 -2 alpha))) |
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) |
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))) |
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 alpha)) |
(fma.f64 -1/2 alpha 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))) |
(+.f64 1 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha)))) |
(+.f64 1 (fma.f64 -1/2 alpha (*.f64 alpha (*.f64 alpha 1/4)))) |
(+.f64 1 (*.f64 alpha (+.f64 -1/2 (*.f64 alpha 1/4)))) |
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))) |
(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 1 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha))))) |
(+.f64 (fma.f64 -1/2 alpha (*.f64 alpha (*.f64 alpha 1/4))) (fma.f64 -1/8 (pow.f64 alpha 3) 1)) |
(+.f64 (*.f64 alpha (+.f64 -1/2 (*.f64 alpha 1/4))) (fma.f64 -1/8 (pow.f64 alpha 3) 1)) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) |
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) |
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) |
(*.f64 1/2 alpha) |
(*.f64 alpha 1/2) |
(+.f64 (*.f64 1/2 alpha) (*.f64 -1/4 (pow.f64 alpha 2))) |
(fma.f64 1/2 alpha (*.f64 -1/4 (*.f64 alpha alpha))) |
(fma.f64 alpha 1/2 (*.f64 alpha (*.f64 alpha -1/4))) |
(*.f64 alpha (+.f64 1/2 (*.f64 alpha -1/4))) |
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2)))) |
(fma.f64 1/2 alpha (fma.f64 1/8 (pow.f64 alpha 3) (*.f64 -1/4 (*.f64 alpha alpha)))) |
(fma.f64 alpha 1/2 (fma.f64 (pow.f64 alpha 3) 1/8 (*.f64 alpha (*.f64 alpha -1/4)))) |
(fma.f64 alpha 1/2 (*.f64 (*.f64 alpha alpha) (+.f64 -1/4 (*.f64 alpha 1/8)))) |
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))) |
(fma.f64 1/2 alpha (fma.f64 -1/16 (pow.f64 alpha 4) (fma.f64 1/8 (pow.f64 alpha 3) (*.f64 -1/4 (*.f64 alpha alpha))))) |
(fma.f64 alpha 1/2 (fma.f64 (pow.f64 alpha 4) -1/16 (fma.f64 (pow.f64 alpha 3) 1/8 (*.f64 alpha (*.f64 alpha -1/4))))) |
(fma.f64 alpha 1/2 (fma.f64 (pow.f64 alpha 4) -1/16 (*.f64 (*.f64 alpha alpha) (+.f64 -1/4 (*.f64 alpha 1/8))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 1 (/.f64 2 alpha)) |
(+.f64 1 (/.f64 -2 alpha)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha)))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3)))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))))) |
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 1 (-.f64 (/.f64 -2 alpha) (/.f64 8 (pow.f64 alpha 3))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 1 (/.f64 2 alpha)) |
(+.f64 1 (/.f64 -2 alpha)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha)))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3)))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))))) |
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 1 (-.f64 (/.f64 -2 alpha) (/.f64 8 (pow.f64 alpha 3))))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(+.f64 (-.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1) |
(+.f64 1 (-.f64 0 (/.f64 alpha (+.f64 alpha 2)))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(*.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) |
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(*.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 alpha (/.f64 1 (+.f64 alpha 2))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 alpha (+.f64 alpha 2)) 1) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (sqrt.f64 alpha) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (+.f64 alpha -2) (/.f64 alpha (fma.f64 alpha alpha -4))) |
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2)) |
(/.f64 (+.f64 alpha -2) (/.f64 (fma.f64 alpha alpha -4) alpha)) |
(*.f64 (/.f64 1 (+.f64 alpha 2)) alpha) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))) |
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (+.f64 (*.f64 alpha alpha) (+.f64 4 (*.f64 alpha -2)))) |
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (fma.f64 alpha (+.f64 alpha -2) 4)) |
(*.f64 (neg.f64 alpha) (/.f64 -1 (+.f64 alpha 2))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)) (sqrt.f64 alpha)) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)) (/.f64 (sqrt.f64 alpha) 1)) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)) (pow.f64 (cbrt.f64 alpha) 2)) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1)) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2)))) |
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2)))) |
(/.f64 (*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) 1) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) |
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) |
(*.f64 (/.f64 alpha 1) (/.f64 1 (+.f64 alpha 2))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (/.f64 1 (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2)))) |
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2))) |
(*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) |
(/.f64 (*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) 1) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) |
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) |
(*.f64 (/.f64 1 (fma.f64 alpha alpha -4)) (*.f64 alpha (+.f64 alpha -2))) |
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2)) |
(/.f64 (+.f64 alpha -2) (/.f64 (fma.f64 alpha alpha -4) alpha)) |
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (+.f64 (*.f64 alpha alpha) (+.f64 4 (*.f64 alpha -2)))) |
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (fma.f64 alpha (+.f64 alpha -2) 4)) |
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2)) |
(/.f64 (+.f64 alpha -2) (/.f64 (fma.f64 alpha alpha -4) alpha)) |
(*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) |
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (+.f64 (*.f64 alpha alpha) (+.f64 4 (*.f64 alpha -2)))) |
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (fma.f64 alpha (+.f64 alpha -2) 4)) |
(*.f64 (/.f64 -1 (+.f64 alpha 2)) (neg.f64 alpha)) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2)))) |
(/.f64 (*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) 1) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) |
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) |
(*.f64 (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))) (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) |
(/.f64 (*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) 1) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) |
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2)))) |
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2))) |
(*.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2)))) |
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) |
(*.f64 (/.f64 (/.f64 alpha 1) 1) (/.f64 1 (+.f64 alpha 2))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 alpha 2)) (cbrt.f64 alpha)) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha)) |
(*.f64 (/.f64 alpha (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 alpha (+.f64 -8 (neg.f64 (pow.f64 alpha 3)))) (+.f64 -4 (neg.f64 (*.f64 alpha (+.f64 alpha -2))))) |
(/.f64 (*.f64 alpha (+.f64 -4 (*.f64 alpha (-.f64 2 alpha)))) (-.f64 -8 (pow.f64 alpha 3))) |
(/.f64 (neg.f64 alpha) (/.f64 (-.f64 -8 (pow.f64 alpha 3)) (fma.f64 alpha (+.f64 alpha -2) 4))) |
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 alpha -2)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha)) |
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) |
(*.f64 (/.f64 alpha (+.f64 -8 (neg.f64 (pow.f64 alpha 3)))) (+.f64 -4 (neg.f64 (*.f64 alpha (+.f64 alpha -2))))) |
(/.f64 (*.f64 alpha (+.f64 -4 (*.f64 alpha (-.f64 2 alpha)))) (-.f64 -8 (pow.f64 alpha 3))) |
(/.f64 (neg.f64 alpha) (/.f64 (-.f64 -8 (pow.f64 alpha 3)) (fma.f64 alpha (+.f64 alpha -2) 4))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 alpha 2) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha)) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 alpha (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha)) |
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha)) |
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 alpha (+.f64 -8 (neg.f64 (pow.f64 alpha 3)))) (+.f64 -4 (neg.f64 (*.f64 alpha (+.f64 alpha -2))))) |
(/.f64 (*.f64 alpha (+.f64 -4 (*.f64 alpha (-.f64 2 alpha)))) (-.f64 -8 (pow.f64 alpha 3))) |
(/.f64 (neg.f64 alpha) (/.f64 (-.f64 -8 (pow.f64 alpha 3)) (fma.f64 alpha (+.f64 alpha -2) 4))) |
(*.f64 (/.f64 (/.f64 alpha 1) (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha)) |
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (sqrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) 8))) (sqrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) 8))) (sqrt.f64 (fma.f64 alpha (+.f64 alpha -2) 4))) |
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (fma.f64 alpha alpha -4))) (sqrt.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 alpha (*.f64 (sqrt.f64 (fma.f64 alpha alpha -4)) (sqrt.f64 (+.f64 alpha 2)))) (sqrt.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (cbrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 alpha (*.f64 (cbrt.f64 (+.f64 (pow.f64 alpha 3) 8)) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) (cbrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 alpha (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (cbrt.f64 (+.f64 (pow.f64 alpha 3) 8)))) (cbrt.f64 (fma.f64 alpha (+.f64 alpha -2) 4))) |
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (fma.f64 alpha alpha -4))) (cbrt.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 alpha (*.f64 (cbrt.f64 (fma.f64 alpha alpha -4)) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) (cbrt.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 (/.f64 alpha (cbrt.f64 (fma.f64 alpha alpha -4))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 alpha -2))) |
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(neg.f64 (/.f64 alpha (-.f64 -2 alpha))) |
(/.f64 (neg.f64 alpha) (-.f64 -2 alpha)) |
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) |
(fabs.f64 (/.f64 alpha (+.f64 alpha 2))) |
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
Compiled 14951 to 12002 computations (19.7% saved)
15 alts after pruning (3 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 661 | 2 | 663 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 11 | 11 |
| Total | 661 | 15 | 676 |
| Status | Error | Program |
|---|---|---|
| ✓ | 47.2b | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
| ✓ | 49.4b | (/.f64 (/.f64 2 alpha) 2) |
| ✓ | 15.9b | (/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) 2) |
| 20.6b | (/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2) | |
| ✓ | 42.7b | (/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
| ✓ | 32.4b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| 34.3b | (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) | |
| ✓ | 14.2b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
| ✓ | 15.9b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| ✓ | 35.6b | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| ✓ | 47.2b | (/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2) |
| ✓ | 59.5b | (/.f64 beta alpha) |
| ✓ | 38.4b | (/.f64 2 2) |
| 33.3b | (/.f64 1 2) | |
| ✓ | 59.5b | (*.f64 (/.f64 1 alpha) beta) |
Compiled 143 to 119 computations (16.8% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
(*.f64 (/.f64 1 alpha) beta) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2) |
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) 2) |
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2) |
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2) |
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2) |
(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) 2) |
(/.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) 2) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3))))) 2) |
| Outputs |
|---|
(/.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) 2) |
5 calls:
| 15.0ms | alpha |
| 13.0ms | beta |
| 9.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 5.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 4.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 1 | alpha |
| 0.2b | 1 | beta |
| 0.2b | 1 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.2b | 1 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.2b | 1 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 396 to 281 computations (29% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
(*.f64 (/.f64 1 alpha) beta) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2) |
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) 2) |
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2) |
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2) |
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2) |
(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) 2) |
| Outputs |
|---|
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2) |
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2) |
5 calls:
| 98.0ms | alpha |
| 22.0ms | beta |
| 13.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 8.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 6.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| Error | Segments | Branch |
|---|---|---|
| 3.2b | 2 | alpha |
| 3.0b | 2 | beta |
| 0.0b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.0b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.0b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 290 to 208 computations (28.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999998562271 | -0.9998175852828025 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
(*.f64 (/.f64 1 alpha) beta) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2) |
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) 2) |
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2) |
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2) |
5 calls:
| 53.0ms | beta |
| 31.0ms | alpha |
| 13.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 7.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 6.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| Error | Segments | Branch |
|---|---|---|
| 3.2b | 2 | alpha |
| 3.0b | 2 | beta |
| 0.2b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.2b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.2b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 223 to 165 computations (26% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999998562271 | -0.9998175852828025 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
(*.f64 (/.f64 1 alpha) beta) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2) |
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) 2) |
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
5 calls:
| 58.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 21.0ms | beta |
| 21.0ms | alpha |
| 12.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 5.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| Error | Segments | Branch |
|---|---|---|
| 3.2b | 2 | alpha |
| 3.0b | 2 | beta |
| 0.2b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.2b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.2b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 209 to 156 computations (25.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999998562271 | -0.9998175852828025 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
(*.f64 (/.f64 1 alpha) beta) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2) |
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2) |
| Outputs |
|---|
(/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
2 calls:
| 52.0ms | alpha |
| 18.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 4.7b | 2 | alpha |
| 3.2b | 2 | beta |
Compiled 114 to 89 computations (21.9% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 3.874828854215552e-19 | 3.598825894129103e-17 |
| 10.0ms | 83× | body | 256 | valid |
| 6.0ms | 24× | body | 1024 | valid |
| 1.0ms | 4× | body | 512 | valid |
| 0.0ms | 1× | body | 2048 | valid |
Compiled 188 to 162 computations (13.8% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
(*.f64 (/.f64 1 alpha) beta) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
2 calls:
| 29.0ms | beta |
| 15.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 7.2b | 2 | alpha |
| 14.8b | 2 | beta |
Compiled 85 to 66 computations (22.4% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 2.0603887504003167e+53 | 3.6497435376684866e+55 |
| 12.0ms | 112× | body | 256 | valid |
Compiled 160 to 134 computations (16.3% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
(*.f64 (/.f64 1 alpha) beta) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
2 calls:
| 43.0ms | beta |
| 39.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 18.8b | 6 | alpha |
| 16.8b | 2 | beta |
Compiled 67 to 52 computations (22.4% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 60.0ms | 0.029438284551059662 | 37.08169461748627 |
| 51.0ms | 91× | body | 256 | valid |
| 5.0ms | 21× | body | 1024 | valid |
| 3.0ms | 16× | body | 512 | valid |
Compiled 180 to 159 computations (11.7% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
(*.f64 (/.f64 1 alpha) beta) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 2 2) |
2 calls:
| 48.0ms | alpha |
| 14.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 18.9b | 6 | alpha |
| 17.2b | 2 | beta |
Compiled 53 to 41 computations (22.6% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.029438284551059662 | 37.08169461748627 |
| 10.0ms | 102× | body | 256 | valid |
| 3.0ms | 13× | body | 1024 | valid |
| 2.0ms | 13× | body | 512 | valid |
Compiled 148 to 135 computations (8.8% saved)
Total -45.0b remaining (-255.6%)
Threshold costs -45.0b (-255.6%)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
(*.f64 (/.f64 1 alpha) beta) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
| Outputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
2 calls:
| 81.0ms | alpha |
| 14.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 19.2b | 6 | alpha |
| 17.6b | 2 | beta |
Compiled 39 to 29 computations (25.6% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 0.029438284551059662 | 37.08169461748627 |
| 10.0ms | 98× | body | 256 | valid |
| 5.0ms | 17× | body | 1024 | valid |
| 2.0ms | 13× | body | 512 | valid |
Compiled 116 to 111 computations (4.3% saved)
| 1× | egg-herbie |
| 88× | +-commutative |
| 86× | *-commutative |
| 66× | distribute-lft-neg-in |
| 54× | neg-sub0 |
| 46× | distribute-neg-in |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 654 |
| 1 | 118 | 654 |
| 2 | 143 | 650 |
| 3 | 170 | 646 |
| 4 | 204 | 646 |
| 5 | 260 | 646 |
| 6 | 298 | 646 |
| 7 | 334 | 646 |
| 8 | 367 | 646 |
| 9 | 390 | 646 |
| 10 | 399 | 646 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) 2) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503149267407759/4503599627370496) (/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503149267407759/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503149267407759/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)) |
(if (<=.f64 beta 1419768672255617/40564819207303340847894502572032) (/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)) |
(if (<=.f64 alpha 299999999999999997966284602308488392938512532583219200) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2)) |
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2)) |
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2)) |
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2)) |
(/.f64 1 2) |
| Outputs |
|---|
(/.f64 (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) 2) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503149267407759/4503599627370496) (/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -4503149267407759/4503599627370496) (/.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha)))) 2) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 2 alpha))) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -4503149267407759/4503599627370496) (/.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (-.f64 -2 beta) beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha))) 2) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 2 alpha))) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -4503149267407759/4503599627370496) (/.f64 (-.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha))) 2) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 2 alpha))) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503149267407759/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -4503149267407759/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 2 alpha))) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4503149267407759/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -4503149267407759/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -4503149267407759/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 2 (+.f64 beta alpha)))) 2)) |
(if (<=.f64 beta 1419768672255617/40564819207303340847894502572032) (/.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 alpha))) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)) |
(if (<=.f64 beta 1419768672255617/40564819207303340847894502572032) (/.f64 (/.f64 1 (+.f64 1 (*.f64 alpha 1/2))) 2) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)) |
(if (<=.f64 alpha 299999999999999997966284602308488392938512532583219200) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2)) |
(if (<=.f64 alpha 299999999999999997966284602308488392938512532583219200) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2)) |
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2)) |
(if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2)) |
(if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2)) |
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2)) |
(if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) 1) |
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2)) |
(if (<=.f64 beta 2) 1/2 1) |
(/.f64 1 2) |
1/2 |
Compiled 256 to 195 computations (23.8% saved)
| 3× | egg-herbie |
| 982× | associate-/l* |
| 982× | associate-/l* |
| 924× | distribute-lft-in |
| 812× | distribute-rgt-in |
| 734× | *-commutative |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 37 |
| 1 | 25 | 37 |
| 2 | 41 | 37 |
| 3 | 69 | 37 |
| 4 | 117 | 37 |
| 5 | 255 | 33 |
| 6 | 463 | 33 |
| 7 | 845 | 33 |
| 8 | 1720 | 33 |
| 9 | 3940 | 33 |
| 0 | 608 | 12724 |
| 1 | 2161 | 12284 |
| 0 | 12 | 37 |
| 1 | 25 | 37 |
| 2 | 41 | 37 |
| 3 | 69 | 37 |
| 4 | 117 | 37 |
| 5 | 255 | 33 |
| 6 | 463 | 33 |
| 7 | 845 | 33 |
| 8 | 1720 | 33 |
| 9 | 3940 | 33 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 258 to 186 computations (27.9% saved)
Compiled 238 to 173 computations (27.3% saved)
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