Time bar (total: 13.7s)
| 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)
| 879.0ms | 6499× | body | 256 | valid |
| 483.0ms | 1063× | body | 1024 | valid |
| 207.0ms | 588× | body | 512 | valid |
| 37.0ms | 106× | 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)) |
| ✓ | 2.9b | (+.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 | 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 | alpha | @ | -inf | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
| 1.0ms | beta | @ | inf | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
| 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 (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) |
(-.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 (/.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) |
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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 |
|---|---|---|
| 14.5b | (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2) | |
| ▶ | 34.4b | (/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2) |
| ▶ | 47.4b | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
| 34.4b | (/.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) | |
| ▶ | 13.8b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| 32.3b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) | |
| 48.8b | (/.f64 (+.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))))) 2) | |
| ✓ | 14.2b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
| ▶ | 16.0b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| 61.7b | (/.f64 (+.f64 -1 1) 2) | |
| 48.3b | (/.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) | |
| ▶ | 37.4b | (/.f64 2 2) |
Compiled 477 to 353 computations (26% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 beta (+.f64 beta (+.f64 alpha 2))) |
| ✓ | 0.0b | (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) |
| ✓ | 2.9b | (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) |
Compiled 73 to 47 computations (35.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | beta | @ | 0 | (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) |
| 0.0ms | alpha | @ | inf | (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) |
| 0.0ms | alpha | @ | 0 | (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) |
| 0.0ms | beta | @ | 0 | (/.f64 beta (+.f64 beta (+.f64 alpha 2))) |
| 0.0ms | beta | @ | inf | (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) |
| 1× | batch-egg-rewrite |
| 1814× | associate-/r* |
| 1384× | associate-/l* |
| 850× | associate-/r/ |
| 464× | associate-/l/ |
| 270× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 63 |
| 1 | 257 | 63 |
| 2 | 3737 | 63 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) |
(/.f64 alpha (+.f64 beta (+.f64 alpha 2))) |
(/.f64 beta (+.f64 beta (+.f64 alpha 2))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 828× | associate-+l- |
| 654× | associate-+r- |
| 636× | *-commutative |
| 560× | associate-/l* |
| 542× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 596 | 12924 |
| 1 | 1805 | 12488 |
| 2 | 7115 | 12478 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) |
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(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
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(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1) |
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1) |
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1) |
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) 1) |
-1 |
(-.f64 (/.f64 alpha beta) 1) |
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1) |
-1 |
(-.f64 (/.f64 alpha beta) 1) |
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1) |
(/.f64 alpha (+.f64 beta 2)) |
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(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) |
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1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
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1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
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(/.f64 alpha (+.f64 2 alpha)) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) |
(/.f64 alpha beta) |
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))) |
(/.f64 alpha beta) |
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))) |
(/.f64 beta (+.f64 2 alpha)) |
(+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))) |
(+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) |
(/.f64 beta (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 4)))))) |
(/.f64 beta alpha) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(/.f64 beta alpha) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) |
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) |
(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 1) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))) |
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))) |
(*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))))) |
(*.f64 (+.f64 1 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (-.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)) |
(*.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) |
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)))) (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))) |
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(/.f64 1 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 1) |
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)) |
(/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))) |
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(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (sqrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))) (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (cbrt.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 1) (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 1) (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))) |
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(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 3) 1) (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))) (+.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 1))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 3) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (+.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))) |
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(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) |
(exp.f64 (log.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) |
| Outputs |
|---|
-1 |
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1) |
(+.f64 (/.f64 alpha (+.f64 beta 2)) -1) |
(+.f64 -1 (/.f64 alpha (+.f64 beta 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) -1) |
(+.f64 -1 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1) |
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) -1) |
(+.f64 -1 (+.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(neg.f64 (/.f64 (+.f64 beta 2) alpha)) |
(/.f64 (+.f64 -2 (neg.f64 beta)) alpha) |
(/.f64 (-.f64 -2 beta) alpha) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) |
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) |
(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) |
(-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) |
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)))) |
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (-.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(neg.f64 (/.f64 (+.f64 beta 2) alpha)) |
(/.f64 (+.f64 -2 (neg.f64 beta)) alpha) |
(/.f64 (-.f64 -2 beta) alpha) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) |
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) |
(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) |
(-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) |
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)))) |
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (-.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) |
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) -1) |
(+.f64 -1 (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (neg.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))) 1)) |
(+.f64 -1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta)))) |
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1) |
(+.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (neg.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))) (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3)))) -1) |
(+.f64 (-.f64 (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 3)) alpha) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta))) (+.f64 -1 (/.f64 alpha (+.f64 alpha 2)))) |
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) 1) |
(+.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 -1 (+.f64 (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha)))))) -1) |
(+.f64 (-.f64 (-.f64 (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 3)) alpha) (*.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4)) alpha)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta))) (+.f64 -1 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 -1 (-.f64 (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 3)) alpha) (-.f64 (*.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4)) alpha) (-.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta)))))) |
-1 |
(-.f64 (/.f64 alpha beta) 1) |
(+.f64 (/.f64 alpha beta) -1) |
(+.f64 -1 (/.f64 alpha beta)) |
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1) |
(+.f64 (+.f64 (/.f64 alpha beta) (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))) -1) |
(+.f64 (/.f64 (*.f64 (-.f64 -2 alpha) alpha) (*.f64 beta beta)) (+.f64 -1 (/.f64 alpha beta))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1) |
(+.f64 (/.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3)) (+.f64 (+.f64 (/.f64 alpha beta) (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))) -1)) |
(+.f64 (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 (-.f64 -2 alpha) alpha) (*.f64 beta beta))) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) -1)) |
-1 |
(-.f64 (/.f64 alpha beta) 1) |
(+.f64 (/.f64 alpha beta) -1) |
(+.f64 -1 (/.f64 alpha beta)) |
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1) |
(+.f64 (+.f64 (/.f64 alpha beta) (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))) -1) |
(+.f64 (/.f64 (*.f64 (-.f64 -2 alpha) alpha) (*.f64 beta beta)) (+.f64 -1 (/.f64 alpha beta))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1) |
(+.f64 (/.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3)) (+.f64 (+.f64 (/.f64 alpha beta) (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))) -1)) |
(+.f64 (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 (-.f64 -2 alpha) alpha) (*.f64 beta beta))) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) -1)) |
(/.f64 alpha (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) |
(fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) |
(-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) |
(+.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (fma.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) |
(+.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))) (-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)))) |
(+.f64 (-.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) |
1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1) |
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) |
(-.f64 1 (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 1 (/.f64 (-.f64 -2 beta) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (-.f64 1 (/.f64 (+.f64 beta 2) alpha))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 1 (/.f64 (-.f64 -2 beta) alpha))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 1 (/.f64 (-.f64 -2 beta) alpha))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) |
1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1) |
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) |
(-.f64 1 (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 1 (/.f64 (-.f64 -2 beta) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (-.f64 1 (/.f64 (+.f64 beta 2) alpha))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 1 (/.f64 (-.f64 -2 beta) alpha))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 1 (/.f64 (-.f64 -2 beta) alpha))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) |
(/.f64 alpha (+.f64 2 alpha)) |
(/.f64 alpha (+.f64 alpha 2)) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (neg.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha)))) |
(-.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta))) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (neg.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))) (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3)))) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 3)) alpha) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta)))) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 -1 (+.f64 (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha)))))) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (-.f64 (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 3)) alpha) (*.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4)) alpha)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta)))) |
(-.f64 (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 3)) alpha) (-.f64 (*.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4)) alpha) (-.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta))))) |
(/.f64 alpha beta) |
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) |
(+.f64 (/.f64 alpha beta) (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))) |
(+.f64 (/.f64 alpha beta) (/.f64 (*.f64 (-.f64 -2 alpha) alpha) (*.f64 beta beta))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) |
(+.f64 (+.f64 (/.f64 alpha beta) (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))) (/.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3))) |
(+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (-.f64 -2 alpha) alpha) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))) |
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(/.f64 alpha beta) |
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(/.f64 beta (+.f64 2 alpha)) |
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1 |
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1 |
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(/.f64 beta (+.f64 beta 2)) |
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(/.f64 beta alpha) |
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(fma.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 alpha alpha)) (/.f64 beta alpha)) |
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(/.f64 beta alpha) |
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(fma.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 alpha alpha)) (/.f64 beta alpha)) |
(-.f64 (/.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta alpha))) |
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(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) |
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(*.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) |
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(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 1) |
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(*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))) |
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(*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 2)) |
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))) |
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(*.f64 (/.f64 (/.f64 beta 1) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (+.f64 alpha (-.f64 2 beta))) |
(*.f64 (+.f64 alpha (-.f64 2 beta)) (/.f64 beta (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(/.f64 (*.f64 beta (+.f64 alpha (-.f64 2 beta))) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) |
(*.f64 (/.f64 (/.f64 beta 1) (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 4)) (+.f64 alpha (-.f64 beta 2))) |
(/.f64 (*.f64 beta (+.f64 alpha (+.f64 beta -2))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) -4)) |
(*.f64 (+.f64 alpha (+.f64 beta -2)) (/.f64 beta (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) -4))) |
(*.f64 (/.f64 (/.f64 beta 1) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 4 (*.f64 (+.f64 alpha beta) 2)))) |
(*.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))) (/.f64 beta (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) |
(/.f64 beta (/.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) 4) (*.f64 -2 (+.f64 alpha beta))))) |
(*.f64 (/.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (sqrt.f64 (-.f64 beta (+.f64 alpha 2)))) |
(*.f64 (sqrt.f64 (-.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))) |
(/.f64 (/.f64 beta (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (sqrt.f64 (+.f64 beta (-.f64 -2 alpha))))) |
(*.f64 (/.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (sqrt.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))) |
(*.f64 (sqrt.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))) (/.f64 beta (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (sqrt.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))) (/.f64 beta (*.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (hypot.f64 (pow.f64 (+.f64 alpha 2) 3/2) (pow.f64 beta 3/2))))) |
(*.f64 (/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (cbrt.f64 (-.f64 beta (+.f64 alpha 2)))) |
(*.f64 (cbrt.f64 (-.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))) |
(*.f64 (cbrt.f64 (+.f64 beta (-.f64 -2 alpha))) (/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))) |
(*.f64 (/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (cbrt.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))) |
(/.f64 (*.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) |
(*.f64 (cbrt.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))) (/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))) |
(pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1) |
(/.f64 beta (+.f64 alpha (+.f64 beta 2))) |
(/.f64 beta (+.f64 2 (+.f64 alpha beta))) |
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) |
(/.f64 beta (+.f64 alpha (+.f64 beta 2))) |
(/.f64 beta (+.f64 2 (+.f64 alpha beta))) |
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3) |
(/.f64 beta (+.f64 alpha (+.f64 beta 2))) |
(/.f64 beta (+.f64 2 (+.f64 alpha beta))) |
(pow.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) 1/3) |
(/.f64 beta (+.f64 alpha (+.f64 beta 2))) |
(/.f64 beta (+.f64 2 (+.f64 alpha beta))) |
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) -1) |
(/.f64 beta (+.f64 alpha (+.f64 beta 2))) |
(/.f64 beta (+.f64 2 (+.f64 alpha beta))) |
(neg.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta)))) |
(/.f64 (neg.f64 beta) (-.f64 -2 (+.f64 alpha beta))) |
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2)) |
(fabs.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) |
(log.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 beta (+.f64 alpha (+.f64 beta 2))) |
(/.f64 beta (+.f64 2 (+.f64 alpha beta))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) |
(/.f64 beta (+.f64 alpha (+.f64 beta 2))) |
(/.f64 beta (+.f64 2 (+.f64 alpha beta))) |
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3)) |
(/.f64 beta (+.f64 alpha (+.f64 beta 2))) |
(/.f64 beta (+.f64 2 (+.f64 alpha beta))) |
(cbrt.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3))) |
(/.f64 beta (+.f64 alpha (+.f64 beta 2))) |
(/.f64 beta (+.f64 2 (+.f64 alpha beta))) |
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 beta (+.f64 alpha (+.f64 beta 2))) |
(/.f64 beta (+.f64 2 (+.f64 alpha beta))) |
(exp.f64 (log.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 beta (+.f64 alpha (+.f64 beta 2))) |
(/.f64 beta (+.f64 2 (+.f64 alpha beta))) |
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1)) |
(/.f64 beta (+.f64 alpha (+.f64 beta 2))) |
(/.f64 beta (+.f64 2 (+.f64 alpha beta))) |
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 beta (+.f64 alpha (+.f64 beta 2))) |
(/.f64 beta (+.f64 2 (+.f64 alpha beta))) |
Compiled 6 to 6 computations (0% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 beta (+.f64 beta 2)) |
Compiled 29 to 21 computations (27.6% saved)
3 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)) |
| 1× | batch-egg-rewrite |
| 1564× | add-sqr-sqrt |
| 1540× | *-un-lft-identity |
| 1452× | add-cube-cbrt |
| 1438× | add-cbrt-cube |
| 1428× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 137 | 13 |
| 2 | 1864 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 beta (+.f64 beta 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (/.f64 1 (+.f64 beta 2)))))) (#(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 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 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 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta 2) beta) -1)))) (#(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 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)))))))) |
| 1× | egg-herbie |
| 1540× | associate-*r* |
| 1304× | associate-*l* |
| 866× | associate-+r+ |
| 854× | distribute-lft-in |
| 816× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 1249 |
| 1 | 309 | 1061 |
| 2 | 1107 | 907 |
| 3 | 5906 | 907 |
| 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)))) |
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1) |
(*.f64 beta (/.f64 1 (+.f64 beta 2))) |
(*.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 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 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 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1) |
(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)))) |
(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)))) |
| 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 1/2 beta (*.f64 beta (*.f64 beta -1/4))) |
(*.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 1 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta))) |
(+.f64 (+.f64 1 (/.f64 -2 beta)) (/.f64 4 (*.f64 beta 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 1 (+.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -8 (pow.f64 beta 3))) (/.f64 -2 beta))) |
(+.f64 1 (+.f64 (/.f64 -2 beta) (+.f64 (/.f64 4 (*.f64 beta 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 1 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta))) |
(+.f64 (+.f64 1 (/.f64 -2 beta)) (/.f64 4 (*.f64 beta 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 1 (+.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -8 (pow.f64 beta 3))) (/.f64 -2 beta))) |
(+.f64 1 (+.f64 (/.f64 -2 beta) (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -8 (pow.f64 beta 3))))) |
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 beta (/.f64 1 (+.f64 beta 2))) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(+.f64 1 (-.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 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.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 1 (-.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 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.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 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.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 1 (-.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 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (/.f64 1 (+.f64 beta 2)) beta) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.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 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (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 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))) |
(/.f64 (*.f64 beta (fma.f64 beta beta (fma.f64 beta -2 4))) (+.f64 (pow.f64 beta 3) 8)) |
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2))) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.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 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2))) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.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))) |
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(+.f64 1 (-.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 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 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 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.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 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(+.f64 1 (-.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 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.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 | |
|---|---|---|---|---|
| 1.0ms | beta | @ | 0 | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 1.0ms | alpha | @ | 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 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
| ✓ | 0.1b | (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) |
| ✓ | 2.5b | (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
| ✓ | 5.3b | (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) |
Compiled 113 to 66 computations (41.6% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | beta | @ | 0 | (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
| 3.0ms | beta | @ | inf | (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
| 3.0ms | alpha | @ | 0 | (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
| 2.0ms | alpha | @ | -inf | (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
| 2.0ms | alpha | @ | inf | (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
| 1× | batch-egg-rewrite |
| 910× | distribute-lft-neg-in |
| 836× | distribute-rgt-neg-in |
| 408× | +-commutative |
| 364× | add-sqr-sqrt |
| 356× | *-un-lft-identity |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 172 |
| 1 | 342 | 130 |
| 2 | 5334 | 130 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 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| 1× | egg-herbie |
| 1492× | associate-*r* |
| 1442× | +-commutative |
| 1212× | associate-*l* |
| 966× | associate-+r+ |
| 794× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1131 | 35592 |
| 1 | 3755 | 35206 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha)))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha))) (*.f64 -1 (*.f64 (pow.f64 beta 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 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.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)))))))) (*.f64 -1 (*.f64 (pow.f64 beta 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 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(/.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 -2 alpha)) beta) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 4 (/.f64 1 beta)))) (*.f64 -2 (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 4 (/.f64 1 beta)) (*.f64 -1 (/.f64 (+.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 -2 (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 4 (/.f64 1 beta)) (+.f64 (*.f64 -1 (/.f64 (+.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 -2 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)))) (pow.f64 beta 4))))))) (*.f64 -2 (/.f64 alpha beta))) |
(*.f64 -2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 2))) (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (*.f64 2 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (+.f64 2 alpha)) (pow.f64 beta 3)))))) |
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(-.f64 1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) |
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(*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) |
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(*.f64 -2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
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(+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) |
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(/.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))) |
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(-.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)) |
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(-.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))) |
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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)))) |
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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))))) |
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(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) |
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1 |
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 4 (/.f64 1 beta)))) |
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1 |
(+.f64 1 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))) |
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(/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) |
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1 |
(+.f64 (*.f64 -2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) 1) |
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1 |
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(/.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 -2 alpha)) (+.f64 2 (*.f64 2 alpha))) |
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2 |
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(/.f64 (-.f64 1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) |
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(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha) |
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
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(/.f64 (-.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))) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (neg.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 3)) (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 1)))) |
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 1) |
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 3) 1/3) |
(neg.f64 (-.f64 -1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 3)) |
(expm1.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(+.f64 1 (-.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) 0) |
(-.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1) |
(*.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) |
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))) |
(*.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)))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)) (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)))) |
(*.f64 (pow.f64 (-.f64 beta alpha) 2) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (pow.f64 (-.f64 beta alpha) 2) (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 2)) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) |
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))) |
(*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (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 -1 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) |
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))) |
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) (sqrt.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))) (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) |
(/.f64 1 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))) |
(/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) |
(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))) |
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) |
(/.f64 (pow.f64 (-.f64 beta alpha) 2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) |
(/.f64 (+.f64 alpha (neg.f64 beta)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha)))) |
(/.f64 (+.f64 alpha (neg.f64 beta)) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))) |
(/.f64 (*.f64 (+.f64 alpha (neg.f64 beta)) (+.f64 alpha (neg.f64 beta))) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha)))) |
(/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) |
(/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha (neg.f64 beta))) (-.f64 -2 (+.f64 beta alpha))) |
(/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 2))) |
(/.f64 (*.f64 (+.f64 alpha (neg.f64 beta)) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 -2 (+.f64 beta alpha))) |
(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha (neg.f64 beta))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -2 (+.f64 beta alpha)))) |
(/.f64 (*.f64 (+.f64 alpha (neg.f64 beta)) (-.f64 beta alpha)) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)) |
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) |
(log.f64 (+.f64 1 (expm1.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))) 6)) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) |
(exp.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(exp.f64 (*.f64 (*.f64 2 (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))) 2))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(+.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (neg.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1)) |
(+.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(+.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) |
(-.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 0) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) 1) |
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) |
(-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(*.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 2) (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 2) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 1) |
(*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) (-.f64 (/.f64 1 (-.f64 1 (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) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))) |
(*.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) |
(*.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) (-.f64 (/.f64 1 (-.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 (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) -1) (/.f64 1 (-.f64 -1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 2)) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(*.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 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) |
(*.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))) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (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))) 2))) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 2) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 2)) (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 2) |
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 3) |
(pow.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 3) 1/3) |
(pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 1) |
(pow.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) -1) |
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 -1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 2)) |
(log.f64 (exp.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 3) (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 3))) |
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(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 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
| Outputs |
|---|
(-.f64 1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) |
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(*.f64 2 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha)) |
(*.f64 2 (/.f64 (-.f64 (-.f64 beta (neg.f64 beta)) -2) alpha)) |
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(/.f64 (*.f64 -2 (-.f64 (neg.f64 beta) (+.f64 2 beta))) alpha) |
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(/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
(/.f64 (+.f64 2 (*.f64 alpha 2)) beta) |
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) |
(neg.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta)) |
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(-.f64 1 (/.f64 beta (+.f64 beta 2))) |
(-.f64 1 (/.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))) |
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2 |
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))) |
(+.f64 2 (neg.f64 (/.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)))) |
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2 |
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 beta 2) (*.f64 -1 beta)) alpha))) |
(+.f64 2 (neg.f64 (/.f64 (-.f64 (+.f64 2 beta) (neg.f64 beta)) alpha))) |
(+.f64 2 (neg.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) |
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(+.f64 2 (fma.f64 -1 (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 -1 (/.f64 (-.f64 (+.f64 2 beta) (neg.f64 beta)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))))) |
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(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) |
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) |
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(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 alpha beta)) (+.f64 alpha 2)) -2)) |
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(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -2 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 alpha beta)) (+.f64 alpha 2)) (fma.f64 (pow.f64 beta 3) (fma.f64 -2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (+.f64 alpha 2) alpha)) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))))) (*.f64 beta (*.f64 beta (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (*.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha))))))))) |
1 |
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 4 (/.f64 1 beta)))) |
(+.f64 1 (-.f64 (/.f64 (*.f64 alpha -2) beta) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)))))) (+.f64 (*.f64 4 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))) |
(+.f64 1 (-.f64 (fma.f64 -2 (/.f64 alpha beta) (+.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta)) (*.f64 -2 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))))) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta)))) |
(+.f64 (fma.f64 -2 (/.f64 alpha beta) (+.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta)) (*.f64 -2 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))))) (-.f64 1 (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 3)))))))) (+.f64 (*.f64 4 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))) |
(-.f64 (fma.f64 2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (+.f64 1 (fma.f64 -2 (/.f64 alpha beta) (+.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta)) (*.f64 -2 (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 3) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2))))))))) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta))) |
(-.f64 (fma.f64 2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (+.f64 1 (fma.f64 -2 (/.f64 alpha beta) (+.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta)) (*.f64 -2 (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 3) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2))) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))))))) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))) |
(+.f64 1 (/.f64 (*.f64 2 (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) beta)) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)))))) |
(+.f64 (+.f64 1 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta))) (fma.f64 2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) (*.f64 -2 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))))) |
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1 |
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1 |
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2 |
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(-.f64 (+.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 1 (/.f64 beta (+.f64 beta 2))))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (-.f64 1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2))) 2)) (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 beta 2)))) (/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 beta 2)))) (/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) alpha) (+.f64 (/.f64 1 (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.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 1 (/.f64 beta (+.f64 beta 2))))) (+.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) (+.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)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 beta 2)))) (/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (-.f64 1 (/.f64 beta (+.f64 beta 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 1 (/.f64 beta (+.f64 beta 2))))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (-.f64 1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2))) 2)) (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 beta 2)))) (/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))) (pow.f64 alpha 3))))) (/.f64 (pow.f64 beta 2) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) |
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(-.f64 (+.f64 (fma.f64 (-.f64 (neg.f64 (/.f64 (+.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 1 (/.f64 beta (+.f64 2 beta))))) (+.f64 (/.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (/.f64 (pow.f64 (-.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))))) (/.f64 (-.f64 (*.f64 (*.f64 2 (/.f64 beta (-.f64 1 (/.f64 beta (+.f64 2 beta))))) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta))) (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 (-.f64 1 (/.f64 beta (+.f64 2 beta))) 2))) (/.f64 (-.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (*.f64 alpha alpha) (fma.f64 (-.f64 (*.f64 (*.f64 2 (/.f64 beta (-.f64 1 (/.f64 beta (+.f64 2 beta))))) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta))) (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 (-.f64 1 (/.f64 beta (+.f64 2 beta))) 2))) alpha (/.f64 1 (-.f64 1 (/.f64 beta (+.f64 2 beta)))))) (*.f64 (pow.f64 alpha 3) (-.f64 (/.f64 (*.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))))))) (-.f64 1 (/.f64 beta (+.f64 2 beta)))) (+.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.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 1 (/.f64 beta (+.f64 2 beta))))) (+.f64 (/.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (/.f64 (pow.f64 (-.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))))) (/.f64 (-.f64 (*.f64 (*.f64 2 (/.f64 beta (-.f64 1 (/.f64 beta (+.f64 2 beta))))) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta))) (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 (-.f64 1 (/.f64 beta (+.f64 2 beta))) 2))) (/.f64 (-.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (/.f64 (-.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (pow.f64 (-.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (/.f64 (-.f64 (*.f64 (*.f64 2 (/.f64 beta (-.f64 1 (/.f64 beta (+.f64 2 beta))))) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta))) (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 (-.f64 1 (/.f64 beta (+.f64 2 beta))) 2))) (/.f64 (-.f64 1 (/.f64 beta (+.f64 2 beta))) (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))))))))) (/.f64 (*.f64 beta beta) (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 1 (/.f64 beta (+.f64 2 beta)))))) |
(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha) |
(/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) |
(/.f64 (-.f64 (-.f64 beta (neg.f64 beta)) -2) alpha) |
(-.f64 (+.f64 (/.f64 beta alpha) (*.f64 -1/2 (/.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)) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 beta (*.f64 -1 (+.f64 beta 2)))) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)))) |
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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)) |
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(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) |
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 2)) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 2) (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 2) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 1) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) |
(*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) (-.f64 (/.f64 1 (-.f64 1 (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) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) |
(*.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(*.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) (-.f64 (/.f64 1 (-.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 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))) |
(*.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)))) |
(*.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (-.f64 -1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(*.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 1 (-.f64 -1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))) |
(*.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 1 (-.f64 -1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 2)) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) 2)) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) 2)) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))))) |
(*.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 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) |
(*.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))) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(*.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)))) |
(*.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (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))) 2))) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))))) |
(*.f64 (/.f64 (sqrt.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 -2 (+.f64 alpha beta))))) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 2) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))) 2) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) 2) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 2)) (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) 2))) |
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) 2))) |
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 2) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) |
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 3) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) |
(pow.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 3) 1/3) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) |
(pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 1) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) |
(pow.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) -1) |
(/.f64 1 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))) |
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 -1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))) (-.f64 -1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (-.f64 -1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 2)) |
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) 2)) |
(log.f64 (exp.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) |
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 3)) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 3) (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) 3) (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 3) (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) 3))) |
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) |
Compiled 54043 to 37859 computations (29.9% saved)
17 alts after pruning (12 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1052 | 11 | 1063 |
| Fresh | 5 | 1 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 5 | 5 |
| Total | 1058 | 17 | 1075 |
| Status | Error | Program |
|---|---|---|
| 34.4b | (/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2) | |
| ▶ | 34.4b | (/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2) |
| ✓ | 47.4b | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
| ▶ | 50.3b | (/.f64 (/.f64 2 alpha) 2) |
| ▶ | 47.3b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) |
| 48.3b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha))) 2) | |
| ✓ | 13.8b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| 48.8b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) 2) | |
| 54.5b | (/.f64 (-.f64 (-.f64 (/.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta alpha))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) | |
| ▶ | 13.8b | (/.f64 (-.f64 (*.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) beta) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| 32.3b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) | |
| ✓ | 14.2b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
| ✓ | 16.0b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| ▶ | 35.9b | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| 47.7b | (/.f64 (*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha))) 2) | |
| 58.7b | (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) | |
| ✓ | 37.4b | (/.f64 2 2) |
Compiled 577 to 407 computations (29.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) |
| 0.0b | (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) | |
| ✓ | 0.1b | (*.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) beta) |
| 2.9b | (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) |
Compiled 96 to 59 computations (38.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | beta | @ | -inf | (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) |
| 0.0ms | alpha | @ | -inf | (*.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) beta) |
| 0.0ms | alpha | @ | inf | (*.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) beta) |
| 0.0ms | alpha | @ | 0 | (*.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) beta) |
| 0.0ms | beta | @ | 0 | (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) |
| 1× | batch-egg-rewrite |
| 1356× | associate-*l/ |
| 1066× | *-commutative |
| 746× | distribute-lft-in |
| 728× | associate-/r* |
| 722× | distribute-rgt-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 44 |
| 1 | 229 | 42 |
| 2 | 3094 | 38 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) beta) |
(/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) |
| Outputs |
|---|
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(+.f64 alpha beta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (+.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))))))))) |
| 1× | egg-herbie |
| 842× | associate-/l* |
| 746× | +-commutative |
| 672× | associate-+r+ |
| 560× | associate-+l+ |
| 522× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 484 | 7741 |
| 1 | 1447 | 7327 |
| 2 | 5869 | 7327 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 beta (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 4)))))) |
(/.f64 beta alpha) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(/.f64 beta alpha) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(/.f64 beta (+.f64 2 alpha)) |
(+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))) |
(+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) |
(/.f64 1 (+.f64 beta 2)) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)))) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))))) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 4))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)))))) |
(/.f64 1 alpha) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha)))) |
(/.f64 1 alpha) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha)))) |
(/.f64 1 (+.f64 2 alpha)) |
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (+.f64 2 alpha))) |
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (+.f64 2 alpha)))) |
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (+.f64 2 alpha))))) |
(/.f64 1 beta) |
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2)))) |
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))) |
(/.f64 1 beta) |
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2)))) |
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))) |
(+.f64 (*.f64 (/.f64 (neg.f64 beta) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) -2) (*.f64 (/.f64 (neg.f64 beta) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (+.f64 alpha beta))) |
(+.f64 (*.f64 (/.f64 (neg.f64 beta) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (+.f64 alpha beta)) (*.f64 (/.f64 (neg.f64 beta) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) -2)) |
(+.f64 (*.f64 (/.f64 (neg.f64 beta) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (+.f64 -2 alpha)) (*.f64 (/.f64 (neg.f64 beta) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) beta)) |
(+.f64 (*.f64 (/.f64 (neg.f64 beta) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (+.f64 -2 beta)) (*.f64 (/.f64 (neg.f64 beta) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) alpha)) |
(+.f64 (*.f64 (/.f64 (neg.f64 beta) (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))) 4) (*.f64 (/.f64 (neg.f64 beta) (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))) (*.f64 (+.f64 alpha beta) (+.f64 -2 (+.f64 alpha beta))))) |
(+.f64 (*.f64 (/.f64 (neg.f64 beta) (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))) (*.f64 (+.f64 alpha beta) (+.f64 -2 (+.f64 alpha beta)))) (*.f64 (/.f64 (neg.f64 beta) (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))) 4)) |
(+.f64 (*.f64 (/.f64 (neg.f64 beta) (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) 4)) (*.f64 (/.f64 (neg.f64 beta) (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))) (*.f64 -2 (+.f64 alpha beta)))) |
(+.f64 (*.f64 -2 (/.f64 (neg.f64 beta) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))) (*.f64 (+.f64 alpha beta) (/.f64 (neg.f64 beta) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))))) |
(+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (neg.f64 beta) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))) (*.f64 -2 (/.f64 (neg.f64 beta) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))))) |
(+.f64 (*.f64 (+.f64 -2 alpha) (/.f64 (neg.f64 beta) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))) (*.f64 beta (/.f64 (neg.f64 beta) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))))) |
(+.f64 (*.f64 (+.f64 -2 beta) (/.f64 (neg.f64 beta) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))) (*.f64 alpha (/.f64 (neg.f64 beta) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))))) |
(+.f64 (*.f64 4 (/.f64 (neg.f64 beta) (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)))) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 -2 (+.f64 alpha beta))) (/.f64 (neg.f64 beta) (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))))) |
(+.f64 (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 -2 (+.f64 alpha beta))) (/.f64 (neg.f64 beta) (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)))) (*.f64 4 (/.f64 (neg.f64 beta) (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))))) |
(+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) 4) (/.f64 (neg.f64 beta) (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)))) (*.f64 (*.f64 -2 (+.f64 alpha beta)) (/.f64 (neg.f64 beta) (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) 1) |
(/.f64 -1 (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)) |
(/.f64 beta (+.f64 2 (+.f64 alpha beta))) |
(/.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1) |
(/.f64 1 (/.f64 (+.f64 2 (+.f64 alpha beta)) beta)) |
(/.f64 (sqrt.f64 beta) (/.f64 (+.f64 2 (+.f64 alpha beta)) (sqrt.f64 beta))) |
(/.f64 (cbrt.f64 beta) (/.f64 (+.f64 2 (+.f64 alpha beta)) (pow.f64 (cbrt.f64 beta) 2))) |
(/.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (cbrt.f64 beta))) |
(/.f64 (neg.f64 beta) (-.f64 -2 (+.f64 alpha beta))) |
(/.f64 (neg.f64 beta) (neg.f64 (+.f64 2 (+.f64 alpha beta)))) |
(/.f64 (sqrt.f64 (neg.f64 beta)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (sqrt.f64 (neg.f64 beta)))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 beta)) (cbrt.f64 (neg.f64 beta))) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (cbrt.f64 (neg.f64 beta)))) |
(/.f64 (*.f64 -1 (sqrt.f64 beta)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (sqrt.f64 beta))) |
(/.f64 (*.f64 -1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (cbrt.f64 beta))) |
(/.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))) -1) |
(/.f64 (/.f64 beta (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) |
(/.f64 (/.f64 beta (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2)) |
(/.f64 (/.f64 beta -1) (-.f64 -2 (+.f64 alpha beta))) |
(/.f64 (/.f64 (neg.f64 beta) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) |
(/.f64 (/.f64 (neg.f64 beta) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2)) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta)))) |
(/.f64 (/.f64 (neg.f64 beta) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (/.f64 1 (+.f64 -2 (+.f64 alpha beta)))) |
(/.f64 (/.f64 (neg.f64 beta) (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))) (/.f64 1 (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 -2 (+.f64 alpha beta)))))) |
(/.f64 (/.f64 beta (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (neg.f64 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (neg.f64 (neg.f64 beta)) (+.f64 2 (+.f64 alpha beta))) |
(/.f64 (*.f64 (/.f64 -1 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) beta) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) |
(/.f64 (*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2)) beta) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta)))) |
(/.f64 (*.f64 (/.f64 beta -1) 1) (-.f64 -2 (+.f64 alpha beta))) |
(/.f64 (*.f64 (/.f64 (neg.f64 beta) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) 1) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) |
(/.f64 (*.f64 (/.f64 (neg.f64 beta) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2)) 1) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta)))) |
(/.f64 (*.f64 (neg.f64 (neg.f64 beta)) 1) (+.f64 2 (+.f64 alpha beta))) |
(/.f64 (*.f64 1 (/.f64 beta (sqrt.f64 (+.f64 2 (+.f64 alpha beta))))) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) |
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 beta (sqrt.f64 (+.f64 2 (+.f64 alpha beta))))) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 beta)) (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 beta)) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 2)) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta)))) |
(/.f64 (*.f64 -1 (/.f64 beta (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))))) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) |
(/.f64 (*.f64 -1 (/.f64 beta (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2)) |
(/.f64 (*.f64 (neg.f64 beta) (+.f64 -2 (+.f64 alpha beta))) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) |
(/.f64 (*.f64 (neg.f64 beta) (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 -2 (+.f64 alpha beta))))) (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))) |
(/.f64 (/.f64 beta 1) (+.f64 2 (+.f64 alpha beta))) |
(/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2)) (neg.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (/.f64 beta (*.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) (cbrt.f64 (+.f64 2 (+.f64 alpha beta))))) (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) |
(/.f64 (/.f64 beta (neg.f64 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))))) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) |
(/.f64 (/.f64 beta (neg.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta)))) |
(/.f64 (/.f64 (/.f64 beta -1) 1) (-.f64 -2 (+.f64 alpha beta))) |
(/.f64 (/.f64 (/.f64 beta -1) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2)) |
(/.f64 (/.f64 (/.f64 (neg.f64 beta) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) 1) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) |
(/.f64 (/.f64 (/.f64 (neg.f64 beta) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (cbrt.f64 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (/.f64 (/.f64 (neg.f64 beta) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (/.f64 (/.f64 (neg.f64 beta) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (sqrt.f64 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))))) (sqrt.f64 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (/.f64 (/.f64 (neg.f64 beta) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2)) 1) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta)))) |
(/.f64 (/.f64 (/.f64 (neg.f64 beta) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))) (sqrt.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (/.f64 (/.f64 (neg.f64 beta) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (cbrt.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta)))))) (cbrt.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (/.f64 (/.f64 (neg.f64 beta) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (/.f64 (/.f64 (neg.f64 beta) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))))) (cbrt.f64 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (/.f64 (neg.f64 (neg.f64 beta)) -1) (-.f64 -2 (+.f64 alpha beta))) |
(/.f64 (/.f64 (neg.f64 (neg.f64 beta)) 1) (+.f64 2 (+.f64 alpha beta))) |
(/.f64 (/.f64 (neg.f64 (neg.f64 beta)) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (neg.f64 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (/.f64 (neg.f64 (neg.f64 beta)) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2)) (neg.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (/.f64 (neg.f64 (neg.f64 beta)) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) |
(/.f64 (/.f64 (neg.f64 (neg.f64 beta)) (*.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) (cbrt.f64 (+.f64 2 (+.f64 alpha beta))))) (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) |
(/.f64 (/.f64 (neg.f64 (neg.f64 beta)) (neg.f64 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))))) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) |
(/.f64 (/.f64 (neg.f64 (neg.f64 beta)) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta)))) |
(pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 1) |
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))) 3) |
(pow.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 2)) |
(log.f64 (exp.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta)))))) |
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) 3) (pow.f64 beta 3))) |
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) |
(exp.f64 (log.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) |
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))) |
(+.f64 (*.f64 (/.f64 -1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) -2) (*.f64 (/.f64 -1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (+.f64 alpha beta))) |
(+.f64 (*.f64 (/.f64 -1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (+.f64 alpha beta)) (*.f64 (/.f64 -1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) -2)) |
(+.f64 (*.f64 (/.f64 -1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (+.f64 -2 alpha)) (*.f64 (/.f64 -1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) beta)) |
(+.f64 (*.f64 (/.f64 -1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (+.f64 -2 beta)) (*.f64 (/.f64 -1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) alpha)) |
(+.f64 (*.f64 (/.f64 -1 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))) 4) (*.f64 (/.f64 -1 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))) (*.f64 (+.f64 alpha beta) (+.f64 -2 (+.f64 alpha beta))))) |
(+.f64 (*.f64 (/.f64 -1 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))) (*.f64 (+.f64 alpha beta) (+.f64 -2 (+.f64 alpha beta)))) (*.f64 (/.f64 -1 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))) 4)) |
(+.f64 (*.f64 (/.f64 -1 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) 4)) (*.f64 (/.f64 -1 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))) (*.f64 -2 (+.f64 alpha beta)))) |
(+.f64 (*.f64 -2 (/.f64 -1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))) (*.f64 (+.f64 alpha beta) (/.f64 -1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))))) |
(+.f64 (*.f64 (+.f64 alpha beta) (/.f64 -1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))) (*.f64 -2 (/.f64 -1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))))) |
(+.f64 (*.f64 (+.f64 -2 alpha) (/.f64 -1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))) (*.f64 beta (/.f64 -1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))))) |
(+.f64 (*.f64 (+.f64 -2 beta) (/.f64 -1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))) (*.f64 alpha (/.f64 -1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))))) |
(+.f64 (*.f64 4 (/.f64 -1 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)))) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 -2 (+.f64 alpha beta))) (/.f64 -1 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))))) |
(+.f64 (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 -2 (+.f64 alpha beta))) (/.f64 -1 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)))) (*.f64 4 (/.f64 -1 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))))) |
(+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) 4) (/.f64 -1 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)))) (*.f64 (*.f64 -2 (+.f64 alpha beta)) (/.f64 -1 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))))) 1) |
(*.f64 -1 (/.f64 -1 (+.f64 2 (+.f64 alpha beta)))) |
(*.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) 1) |
(*.f64 1 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))))) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) 2)) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) 2) (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))))) |
(*.f64 (+.f64 -2 (+.f64 alpha beta)) (/.f64 -1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))) |
(*.f64 (/.f64 -1 (+.f64 2 (+.f64 alpha beta))) -1) |
(*.f64 (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 -2 (+.f64 alpha beta)))) (/.f64 -1 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (/.f64 -1 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2)) (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))))) |
(*.f64 (/.f64 -1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (+.f64 -2 (+.f64 alpha beta))) |
(*.f64 (/.f64 -1 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 -2 (+.f64 alpha beta))))) |
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (+.f64 (neg.f64 (+.f64 alpha beta)) 2)) |
(*.f64 (/.f64 1 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 -4 (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 -2 (+.f64 alpha beta))) -1))) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))) (neg.f64 (+.f64 -2 (+.f64 alpha beta)))) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)))) (neg.f64 (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 -2 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 1 (neg.f64 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))) (+.f64 -2 (+.f64 alpha beta))) |
(*.f64 (/.f64 1 (neg.f64 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)))) (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 -2 (+.f64 alpha beta))))) |
(*.f64 (/.f64 -1 (-.f64 4 (*.f64 (neg.f64 (+.f64 alpha beta)) (neg.f64 (+.f64 alpha beta))))) (+.f64 -2 (+.f64 alpha beta))) |
(*.f64 (/.f64 -1 (-.f64 (*.f64 (-.f64 -2 alpha) (-.f64 -2 alpha)) (*.f64 beta beta))) (+.f64 beta (-.f64 -2 alpha))) |
(*.f64 (/.f64 -1 (+.f64 -8 (pow.f64 (neg.f64 (+.f64 alpha beta)) 3))) (+.f64 4 (-.f64 (*.f64 (neg.f64 (+.f64 alpha beta)) (neg.f64 (+.f64 alpha beta))) (*.f64 -2 (neg.f64 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 -1 (-.f64 (pow.f64 (-.f64 -2 alpha) 3) (pow.f64 beta 3))) (+.f64 (*.f64 (-.f64 -2 alpha) (-.f64 -2 alpha)) (+.f64 (*.f64 beta beta) (*.f64 beta (-.f64 -2 alpha))))) |
(*.f64 (/.f64 (/.f64 -1 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (sqrt.f64 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))) (sqrt.f64 (+.f64 -2 (+.f64 alpha beta)))) |
(*.f64 (/.f64 (/.f64 -1 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (sqrt.f64 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)))) (sqrt.f64 (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 -2 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2)) (cbrt.f64 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))) (cbrt.f64 (+.f64 -2 (+.f64 alpha beta)))) |
(*.f64 (/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2)) (cbrt.f64 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)))) (cbrt.f64 (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 -2 (+.f64 alpha beta)))))) |
(pow.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) 1) |
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) 3) |
(pow.f64 (pow.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) 3) 1/3) |
(pow.f64 (+.f64 2 (+.f64 alpha beta)) -1) |
(neg.f64 (/.f64 -1 (+.f64 2 (+.f64 alpha beta)))) |
(sqrt.f64 (pow.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) 2)) |
(log.f64 (exp.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))))) |
(cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))) |
(log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))))) |
| Outputs |
|---|
(/.f64 beta (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (+.f64 beta 2))) |
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (+.f64 beta 2))) |
(-.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (+.f64 beta 2)))) |
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (+.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 alpha alpha))))) |
(+.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))) (*.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (*.f64 alpha alpha))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) (-.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (*.f64 alpha alpha)) (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 4)))))) |
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (+.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 alpha alpha))) (+.f64 (/.f64 beta (+.f64 beta 2)) (neg.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 3))))))) |
(-.f64 (+.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (*.f64 alpha alpha)) (-.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 4)) (pow.f64 alpha 3)))) (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))) |
(+.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (*.f64 alpha alpha)) (-.f64 (-.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))) (*.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 4)) (pow.f64 alpha 3)))) |
(/.f64 beta alpha) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha)) |
(fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 beta alpha)) |
(-.f64 (/.f64 beta alpha) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta 2) alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 (*.f64 (-.f64 -2 beta) beta) (*.f64 alpha alpha))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) |
(+.f64 (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 beta alpha)) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))) |
(+.f64 (-.f64 (/.f64 beta alpha) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta 2) alpha))) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 (-.f64 -2 beta) beta) (*.f64 alpha alpha)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta alpha) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))))) |
(-.f64 (-.f64 (+.f64 (/.f64 beta alpha) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta 2) alpha))) |
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 (*.f64 (-.f64 -2 beta) beta) (*.f64 alpha alpha)) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 3))))) |
(/.f64 beta alpha) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha)) |
(fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 beta alpha)) |
(-.f64 (/.f64 beta alpha) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta 2) alpha))) |
(+.f64 (/.f64 beta alpha) (/.f64 (*.f64 (-.f64 -2 beta) beta) (*.f64 alpha alpha))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) |
(+.f64 (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 beta alpha)) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))) |
(+.f64 (-.f64 (/.f64 beta alpha) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta 2) alpha))) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 (-.f64 -2 beta) beta) (*.f64 alpha alpha)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta alpha) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))))) |
(-.f64 (-.f64 (+.f64 (/.f64 beta alpha) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta 2) alpha))) |
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 (*.f64 (-.f64 -2 beta) beta) (*.f64 alpha alpha)) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 3))))) |
(/.f64 beta (+.f64 2 alpha)) |
(+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))) |
(+.f64 (/.f64 beta (+.f64 2 alpha)) (neg.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)))) |
(-.f64 (/.f64 beta (+.f64 2 alpha)) (/.f64 beta (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta))) |
(+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))) |
(+.f64 (/.f64 beta (+.f64 2 alpha)) (fma.f64 -1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))) |
(+.f64 (-.f64 (/.f64 beta (+.f64 2 alpha)) (/.f64 beta (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))) |
(fma.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 beta (+.f64 2 alpha)) (fma.f64 -1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))) |
(-.f64 (+.f64 (-.f64 (/.f64 beta (+.f64 2 alpha)) (/.f64 beta (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4))) |
(+.f64 (-.f64 (/.f64 beta (+.f64 2 alpha)) (/.f64 beta (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta))) (-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 1 (neg.f64 (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 1 (/.f64 (-.f64 -2 alpha) beta)) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)))) |
(+.f64 (+.f64 1 (/.f64 (-.f64 -2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) |
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta))))) |
(+.f64 (+.f64 1 (/.f64 (-.f64 -2 alpha) beta)) (-.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 1 (neg.f64 (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 1 (/.f64 (-.f64 -2 alpha) beta)) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)))) |
(+.f64 (+.f64 1 (/.f64 (-.f64 -2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) |
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta))))) |
(+.f64 (+.f64 1 (/.f64 (-.f64 -2 alpha) beta)) (-.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) |
(/.f64 1 (+.f64 beta 2)) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)))) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (neg.f64 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)))) |
(-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))))) |
(+.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 3))) (neg.f64 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)))) |
(-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 3))) (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 4))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)))))) |
(+.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 3))) (*.f64 -1 (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 4)) (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))))) |
(+.f64 (-.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 4))) (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)))) |
(+.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 4)))) |
(/.f64 1 alpha) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha)) |
(fma.f64 -1 (/.f64 (+.f64 beta 2) (*.f64 alpha alpha)) (/.f64 1 alpha)) |
(-.f64 (/.f64 1 alpha) (/.f64 (+.f64 beta 2) (*.f64 alpha alpha))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha))) |
(fma.f64 -1 (/.f64 (+.f64 beta 2) (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)))) |
(+.f64 (-.f64 (/.f64 1 alpha) (/.f64 (+.f64 beta 2) (*.f64 alpha alpha))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) |
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 (-.f64 -2 beta) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha)))) |
(fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (+.f64 beta 2) (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))))) |
(-.f64 (+.f64 (-.f64 (/.f64 1 alpha) (/.f64 (+.f64 beta 2) (*.f64 alpha alpha))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) |
(+.f64 (/.f64 1 alpha) (-.f64 (+.f64 (/.f64 (-.f64 -2 beta) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4)))) |
(/.f64 1 alpha) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha)) |
(fma.f64 -1 (/.f64 (+.f64 beta 2) (*.f64 alpha alpha)) (/.f64 1 alpha)) |
(-.f64 (/.f64 1 alpha) (/.f64 (+.f64 beta 2) (*.f64 alpha alpha))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha))) |
(fma.f64 -1 (/.f64 (+.f64 beta 2) (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)))) |
(+.f64 (-.f64 (/.f64 1 alpha) (/.f64 (+.f64 beta 2) (*.f64 alpha alpha))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) |
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 (-.f64 -2 beta) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha)))) |
(fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (+.f64 beta 2) (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))))) |
(-.f64 (+.f64 (-.f64 (/.f64 1 alpha) (/.f64 (+.f64 beta 2) (*.f64 alpha alpha))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) |
(+.f64 (/.f64 1 alpha) (-.f64 (+.f64 (/.f64 (-.f64 -2 beta) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4)))) |
(/.f64 1 (+.f64 2 alpha)) |
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (+.f64 2 alpha))) |
(fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) |
(-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) |
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (+.f64 2 alpha)))) |
(fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 3)))) |
(-.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 3))) (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) |
(+.f64 (/.f64 1 (+.f64 2 alpha)) (-.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)))) |
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (+.f64 2 alpha))))) |
(fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 3))))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 3))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (-.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4))) |
(/.f64 1 beta) |
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2)))) |
(+.f64 (/.f64 1 beta) (neg.f64 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)))) |
(+.f64 (/.f64 1 beta) (/.f64 (-.f64 -2 alpha) (*.f64 beta beta))) |
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))) |
(+.f64 (/.f64 1 beta) (fma.f64 -1 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))) |
(+.f64 (/.f64 (-.f64 -2 alpha) (*.f64 beta beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)) (/.f64 1 beta))) |
(+.f64 (/.f64 (-.f64 -2 alpha) (*.f64 beta beta)) (+.f64 (/.f64 1 beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))) |
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(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (/.f64 -1 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))))) |
(*.f64 (/.f64 -1 (sqrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (/.f64 1 (sqrt.f64 (-.f64 -2 (+.f64 beta alpha))))) |
(/.f64 (/.f64 -1 (sqrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2)) (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))))) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))) 2))) |
(/.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))) 2)) |
(*.f64 (/.f64 -1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (+.f64 -2 (+.f64 alpha beta))) |
(/.f64 (+.f64 2 (neg.f64 (+.f64 beta alpha))) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) |
(/.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 -4 (pow.f64 (+.f64 beta alpha) 2))) |
(*.f64 (/.f64 -1 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (neg.f64 (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) -2)))) (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3))) |
(/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) |
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (+.f64 (neg.f64 (+.f64 alpha beta)) 2)) |
(/.f64 (+.f64 2 (neg.f64 (+.f64 beta alpha))) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) |
(/.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 -4 (pow.f64 (+.f64 beta alpha) 2))) |
(*.f64 (/.f64 1 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 -4 (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 -2 (+.f64 alpha beta))) -1))) |
(/.f64 (neg.f64 (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) -2)))) (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3))) |
(/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))) (neg.f64 (+.f64 -2 (+.f64 alpha beta)))) |
(/.f64 (+.f64 2 (neg.f64 (+.f64 beta alpha))) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) |
(/.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 -4 (pow.f64 (+.f64 beta alpha) 2))) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)))) (neg.f64 (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 -2 (+.f64 alpha beta)))))) |
(/.f64 (neg.f64 (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) -2)))) (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3))) |
(/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) |
(*.f64 (/.f64 1 (neg.f64 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))) (+.f64 -2 (+.f64 alpha beta))) |
(/.f64 (+.f64 2 (neg.f64 (+.f64 beta alpha))) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) |
(/.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 -4 (pow.f64 (+.f64 beta alpha) 2))) |
(*.f64 (/.f64 1 (neg.f64 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)))) (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (neg.f64 (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) -2)))) (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3))) |
(/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) |
(*.f64 (/.f64 -1 (-.f64 4 (*.f64 (neg.f64 (+.f64 alpha beta)) (neg.f64 (+.f64 alpha beta))))) (+.f64 -2 (+.f64 alpha beta))) |
(/.f64 (+.f64 2 (neg.f64 (+.f64 beta alpha))) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) |
(/.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 -4 (pow.f64 (+.f64 beta alpha) 2))) |
(*.f64 (/.f64 -1 (-.f64 (*.f64 (-.f64 -2 alpha) (-.f64 -2 alpha)) (*.f64 beta beta))) (+.f64 beta (-.f64 -2 alpha))) |
(/.f64 (neg.f64 (+.f64 beta (-.f64 -2 alpha))) (-.f64 (*.f64 (-.f64 -2 alpha) (-.f64 -2 alpha)) (*.f64 beta beta))) |
(*.f64 (/.f64 -1 (+.f64 -8 (pow.f64 (neg.f64 (+.f64 alpha beta)) 3))) (+.f64 4 (-.f64 (*.f64 (neg.f64 (+.f64 alpha beta)) (neg.f64 (+.f64 alpha beta))) (*.f64 -2 (neg.f64 (+.f64 alpha beta)))))) |
(/.f64 (neg.f64 (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) -2)))) (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3))) |
(/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) |
(*.f64 (/.f64 -1 (-.f64 (pow.f64 (-.f64 -2 alpha) 3) (pow.f64 beta 3))) (+.f64 (*.f64 (-.f64 -2 alpha) (-.f64 -2 alpha)) (+.f64 (*.f64 beta beta) (*.f64 beta (-.f64 -2 alpha))))) |
(*.f64 (/.f64 -1 (-.f64 (pow.f64 (-.f64 -2 alpha) 3) (pow.f64 beta 3))) (fma.f64 (-.f64 -2 alpha) (-.f64 -2 alpha) (*.f64 beta (+.f64 beta (-.f64 -2 alpha))))) |
(/.f64 (neg.f64 (fma.f64 beta (+.f64 beta (-.f64 -2 alpha)) (*.f64 (-.f64 -2 alpha) (-.f64 -2 alpha)))) (-.f64 (pow.f64 (-.f64 -2 alpha) 3) (pow.f64 beta 3))) |
(*.f64 (/.f64 (/.f64 -1 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (sqrt.f64 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))) (sqrt.f64 (+.f64 -2 (+.f64 alpha beta)))) |
(*.f64 (/.f64 (/.f64 -1 (sqrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (sqrt.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)))) (sqrt.f64 (+.f64 (+.f64 beta alpha) -2))) |
(*.f64 (/.f64 -1 (*.f64 (sqrt.f64 (-.f64 -2 (+.f64 beta alpha))) (sqrt.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))))) (sqrt.f64 (+.f64 beta (+.f64 alpha -2)))) |
(*.f64 (/.f64 (/.f64 -1 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (sqrt.f64 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)))) (sqrt.f64 (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 -2 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 -1 (*.f64 (sqrt.f64 (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3))) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha))))) (sqrt.f64 (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) -2))))) |
(*.f64 (/.f64 -1 (*.f64 (sqrt.f64 (-.f64 -2 (+.f64 beta alpha))) (sqrt.f64 (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3))))) (sqrt.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4))) |
(*.f64 (/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2)) (cbrt.f64 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))) (cbrt.f64 (+.f64 -2 (+.f64 alpha beta)))) |
(*.f64 (/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))) 2)) (cbrt.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)))) (cbrt.f64 (+.f64 (+.f64 beta alpha) -2))) |
(*.f64 (/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))) 2)) (cbrt.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)))) (cbrt.f64 (+.f64 beta (+.f64 alpha -2)))) |
(*.f64 (/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2)) (cbrt.f64 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)))) (cbrt.f64 (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 -2 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 -1 (*.f64 (cbrt.f64 (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3))) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))) 2))) (cbrt.f64 (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 (+.f64 beta alpha) -2))))) |
(*.f64 (/.f64 -1 (*.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))) 2) (cbrt.f64 (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3))))) (cbrt.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2)) 4))) |
(pow.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) 1) |
(/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) |
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) 2) |
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) 2) |
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))) 3) |
(/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) |
(pow.f64 (pow.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) 3) 1/3) |
(/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) |
(pow.f64 (+.f64 2 (+.f64 alpha beta)) -1) |
(/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) |
(neg.f64 (/.f64 -1 (+.f64 2 (+.f64 alpha beta)))) |
(/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) |
(sqrt.f64 (pow.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) 2)) |
(sqrt.f64 (pow.f64 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) 2)) |
(fabs.f64 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha)))) |
(log.f64 (exp.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))))) |
(/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) |
(cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) 3)) |
(/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) |
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))))) |
(/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) |
(log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) |
Compiled 12 to 9 computations (25% saved)
Compiled 21 to 17 computations (19% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) |
| ✓ | 0.0b | (/.f64 (-.f64 -2 beta) alpha) |
| 0.0b | (/.f64 beta (+.f64 beta (+.f64 alpha 2))) |
Compiled 57 to 36 computations (36.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | beta | @ | 0 | (/.f64 (-.f64 -2 beta) alpha) |
| 1.0ms | alpha | @ | 0 | (/.f64 (-.f64 -2 beta) alpha) |
| 1.0ms | alpha | @ | inf | (/.f64 (-.f64 -2 beta) alpha) |
| 1.0ms | beta | @ | inf | (/.f64 (-.f64 -2 beta) alpha) |
| 1.0ms | beta | @ | 0 | (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) |
| 1× | batch-egg-rewrite |
| 1868× | distribute-lft-in |
| 1258× | associate-/r/ |
| 758× | associate-/l/ |
| 382× | +-commutative |
| 330× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 50 |
| 1 | 302 | 50 |
| 2 | 4832 | 50 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 -2 beta) alpha) |
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 alpha) (neg.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 alpha) (*.f64 1 (neg.f64 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 alpha) (*.f64 (/.f64 1 alpha) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 alpha) (*.f64 (/.f64 1 alpha) (*.f64 (neg.f64 beta) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 -2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 alpha) (neg.f64 beta)) (/.f64 -2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -2 alpha) (/.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -2 beta) alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -2 beta) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -2 beta) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 -2 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 -2 beta)) (*.f64 (sqrt.f64 (-.f64 -2 beta)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (*.f64 (cbrt.f64 (-.f64 -2 beta)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (-.f64 -2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 2) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 -2 beta) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (-.f64 -2 beta) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 alpha)) (+.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) 1) (/.f64 (sqrt.f64 (-.f64 -2 beta)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) alpha) (sqrt.f64 (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -2 beta)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 alpha (sqrt.f64 (-.f64 -2 beta)))) (sqrt.f64 (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 alpha (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2))) (cbrt.f64 (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) alpha) (cbrt.f64 (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 4 (*.f64 beta beta)) (/.f64 1 alpha)) (-.f64 4 (*.f64 beta beta))) (-.f64 -2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 4 (*.f64 beta beta)) (/.f64 1 alpha)) (+.f64 -8 (pow.f64 beta 3))) (+.f64 4 (-.f64 (*.f64 beta beta) (*.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 -8 (pow.f64 beta 3)) (/.f64 1 alpha)) (-.f64 16 (*.f64 (*.f64 beta (+.f64 -2 beta)) (*.f64 beta (+.f64 -2 beta))))) (-.f64 4 (*.f64 beta (+.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 -8 (pow.f64 beta 3)) (/.f64 1 alpha)) (+.f64 64 (pow.f64 (*.f64 beta (+.f64 -2 beta)) 3))) (+.f64 16 (-.f64 (*.f64 (*.f64 beta (+.f64 -2 beta)) (*.f64 beta (+.f64 -2 beta))) (*.f64 4 (*.f64 beta (+.f64 -2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -2 beta) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (-.f64 -2 beta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 -2 beta) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x 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| 1× | egg-herbie |
| 778× | associate-*r* |
| 696× | +-commutative |
| 664× | associate-*l* |
| 636× | *-commutative |
| 618× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 553 | 13812 |
| 1 | 1879 | 12862 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -2 alpha) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 -1 (/.f64 beta alpha)) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 beta alpha) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -2 beta)))) (neg.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 1) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 3) |
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))) |
(exp.f64 (log.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))) |
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta 2) alpha)) |
| Outputs |
|---|
(/.f64 -2 alpha) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 beta alpha)) |
(/.f64 (neg.f64 beta) alpha) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 beta alpha)) |
(/.f64 (neg.f64 beta) alpha) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(/.f64 2 alpha) |
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2))) (/.f64 2 alpha)) |
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) |
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2 (/.f64 1 alpha)))) |
(fma.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2))) (fma.f64 -1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 2 alpha))) |
(+.f64 (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 2 alpha) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 2 (/.f64 1 alpha))))) |
(fma.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2))) (fma.f64 -1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (/.f64 2 alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))) |
(+.f64 (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha 2))) (+.f64 (-.f64 (/.f64 2 alpha) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) |
(/.f64 beta alpha) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha))) |
(+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 2 alpha))) |
(+.f64 (/.f64 beta alpha) (+.f64 1 (/.f64 2 alpha))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha)))) |
(+.f64 1 (+.f64 (/.f64 2 alpha) (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 beta alpha)))) |
(+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (+.f64 alpha 2) beta)) (+.f64 1 (/.f64 2 alpha))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) |
(+.f64 1 (+.f64 (/.f64 2 alpha) (+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 beta alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))) |
(+.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (+.f64 alpha 2) beta)) (+.f64 1 (/.f64 2 alpha))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) |
(/.f64 beta alpha) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha))) |
(+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 2 alpha))) |
(+.f64 (/.f64 beta alpha) (+.f64 1 (/.f64 2 alpha))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha)))) |
(+.f64 1 (+.f64 (/.f64 2 alpha) (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 beta alpha)))) |
(+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (+.f64 alpha 2) beta)) (+.f64 1 (/.f64 2 alpha))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) |
(+.f64 1 (+.f64 (/.f64 2 alpha) (+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 beta alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))) |
(+.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (+.f64 alpha 2) beta)) (+.f64 1 (/.f64 2 alpha))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) |
(/.f64 (+.f64 beta 2) alpha) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha))))) |
(fma.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (/.f64 beta (+.f64 beta 2))))) |
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (/.f64 beta (+.f64 beta 2)))) (*.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha)))))) |
(fma.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 beta alpha) (+.f64 (+.f64 (/.f64 2 alpha) (/.f64 beta (+.f64 beta 2))) (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 alpha alpha)))))) |
(+.f64 (-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (/.f64 beta (+.f64 beta 2)))) (*.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) alpha)) (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 alpha alpha)))) |
(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha) |
(/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) |
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha)) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha))) |
(+.f64 (neg.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2)))) (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha)) |
(+.f64 (/.f64 (*.f64 (-.f64 -2 beta) (/.f64 beta alpha)) alpha) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha))) |
(+.f64 (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 (/.f64 (*.f64 (-.f64 -2 beta) (/.f64 beta alpha)) alpha) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha))) |
(+.f64 (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 (-.f64 (/.f64 (*.f64 (-.f64 -2 beta) (/.f64 beta alpha)) alpha) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)) |
(/.f64 (neg.f64 (fma.f64 -1 beta (-.f64 -2 beta))) alpha) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))) |
(fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha))) |
(-.f64 (/.f64 (*.f64 (-.f64 -2 beta) (/.f64 beta alpha)) alpha) (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) |
(fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) |
(+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 (*.f64 (-.f64 -2 beta) (/.f64 beta alpha)) alpha) (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (*.f64 (-.f64 -2 beta) (/.f64 beta alpha)) alpha) (-.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha)) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 3)))) |
(+.f64 (/.f64 -2 alpha) (neg.f64 (/.f64 beta alpha))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(+.f64 (/.f64 -2 alpha) (*.f64 1 (neg.f64 (/.f64 beta alpha)))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(+.f64 (/.f64 -2 alpha) (*.f64 (/.f64 1 alpha) (neg.f64 beta))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(+.f64 (/.f64 -2 alpha) (*.f64 (/.f64 1 alpha) (*.f64 (neg.f64 beta) 1))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(+.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 -2 alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(+.f64 (*.f64 (/.f64 1 alpha) (neg.f64 beta)) (/.f64 -2 alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -2 beta) alpha))) 1) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 (-.f64 -2 beta) (/.f64 1 alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 (/.f64 (-.f64 -2 beta) alpha) 1) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 1 (/.f64 (-.f64 -2 beta) alpha)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 (sqrt.f64 (-.f64 -2 beta)) (*.f64 (sqrt.f64 (-.f64 -2 beta)) (/.f64 1 alpha))) |
(*.f64 (sqrt.f64 (-.f64 -2 beta)) (*.f64 (/.f64 1 alpha) (sqrt.f64 (-.f64 -2 beta)))) |
(*.f64 (sqrt.f64 (-.f64 -2 beta)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) alpha)) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (*.f64 (cbrt.f64 (-.f64 -2 beta)) (/.f64 1 alpha))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (*.f64 (/.f64 1 alpha) (cbrt.f64 (-.f64 -2 beta)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (/.f64 (cbrt.f64 (-.f64 -2 beta)) alpha)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha))) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
(/.f64 (-.f64 -2 beta) alpha) |
(*.f64 (/.f64 1 alpha) (-.f64 -2 beta)) |
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha)) |
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(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) 3) (pow.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2) 3)) (*.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2)) (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) 3) (pow.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2) 3)) (*.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 4) (+.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 4) (*.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 6) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 6)) (*.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 4) (*.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2) (+.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2)))))) |
(/.f64 (-.f64 (*.f64 beta (/.f64 alpha (-.f64 -2 beta))) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 alpha (-.f64 -2 beta)))) |
(/.f64 (-.f64 (*.f64 beta (/.f64 alpha (-.f64 -2 beta))) (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 alpha (-.f64 -2 beta)) (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 beta (/.f64 alpha (-.f64 -2 beta)) (-.f64 -2 (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))) alpha) (-.f64 -2 beta)) |
(/.f64 (-.f64 (*.f64 beta (neg.f64 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 alpha))) |
(/.f64 (-.f64 (*.f64 alpha (neg.f64 beta)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))) (*.f64 alpha (neg.f64 (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (-.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 alpha beta))) (*.f64 alpha beta)) (*.f64 alpha (-.f64 -2 (+.f64 alpha beta)))) |
(/.f64 (-.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (-.f64 -2 beta))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha)) |
(/.f64 (-.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta))) (*.f64 alpha (/.f64 (+.f64 beta (+.f64 alpha 2)) beta))) |
(/.f64 (+.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 beta alpha))) |
(/.f64 (-.f64 (/.f64 alpha (-.f64 -2 beta)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) 1)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (/.f64 alpha (-.f64 -2 beta)))) |
(/.f64 (-.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta)) (*.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta))) |
(*.f64 (/.f64 (+.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)) (*.f64 (/.f64 alpha (-.f64 -2 beta)) (+.f64 alpha (+.f64 beta 2)))) beta) |
(/.f64 (-.f64 (neg.f64 alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (neg.f64 alpha))) |
(/.f64 (-.f64 (neg.f64 alpha) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta))) (*.f64 (neg.f64 alpha) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta))) |
(*.f64 (/.f64 (-.f64 (neg.f64 alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) (*.f64 alpha (-.f64 -2 (+.f64 alpha beta)))) beta) |
(/.f64 (-.f64 (*.f64 (neg.f64 beta) alpha) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -2 beta))) (*.f64 (-.f64 -2 (+.f64 beta alpha)) alpha)) |
(/.f64 (-.f64 (*.f64 alpha (neg.f64 beta)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))) (*.f64 alpha (neg.f64 (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (-.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 alpha beta))) (*.f64 alpha beta)) (*.f64 alpha (-.f64 -2 (+.f64 alpha beta)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (/.f64 alpha (-.f64 -2 beta))) (*.f64 (-.f64 -2 (+.f64 beta alpha)) 1)) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 alpha (-.f64 -2 beta)))) |
(/.f64 (fma.f64 (neg.f64 beta) (/.f64 alpha (-.f64 -2 beta)) (neg.f64 (-.f64 -2 (+.f64 alpha beta)))) (*.f64 (/.f64 alpha (-.f64 -2 beta)) (-.f64 -2 (+.f64 alpha beta)))) |
(*.f64 (/.f64 (-.f64 (/.f64 beta (/.f64 (+.f64 beta 2) alpha)) (-.f64 -2 (+.f64 alpha beta))) (*.f64 alpha (-.f64 -2 (+.f64 alpha beta)))) (-.f64 -2 beta)) |
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (neg.f64 alpha)) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 beta 2))) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 alpha))) |
(/.f64 (-.f64 (neg.f64 (*.f64 alpha (neg.f64 beta))) (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 alpha beta)))) (*.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta)))) |
(/.f64 (fma.f64 beta alpha (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2)))) (*.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2))) (neg.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2))) (-.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3))) (-.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2))) |
(/.f64 (neg.f64 (+.f64 (*.f64 beta alpha) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -2 beta)))) (neg.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (-.f64 (*.f64 alpha (neg.f64 beta)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))) (*.f64 alpha (neg.f64 (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (-.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 alpha beta))) (*.f64 alpha beta)) (*.f64 alpha (-.f64 -2 (+.f64 alpha beta)))) |
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 1) |
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 2) |
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 3) |
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) |
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 3) 1/3) |
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2)) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2)) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))) |
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))) |
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 3)) |
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))) |
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) |
(exp.f64 (log.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))) |
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 1)) |
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))) |
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) |
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) |
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) |
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta 2) alpha)) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 beta 2) alpha)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
| ✓ | 0.1b | (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) |
| 2.5b | (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) | |
| ✓ | 5.3b | (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) |
Compiled 163 to 77 computations (52.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 53.0ms | beta | @ | 0 | (/.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
| 7.0ms | alpha | @ | 0 | (/.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
| 6.0ms | beta | @ | inf | (/.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
| 5.0ms | beta | @ | -inf | (/.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
| 5.0ms | alpha | @ | inf | (/.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
| 1× | batch-egg-rewrite |
| 562× | +-commutative |
| 482× | add-sqr-sqrt |
| 470× | pow1 |
| 470× | *-un-lft-identity |
| 450× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 141 |
| 1 | 452 | 141 |
| 2 | 7286 | 141 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) |
(/.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 4)) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 6)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) 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(+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (neg.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) 3) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (log1p.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (log1p.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))))) |
| 1× | egg-herbie |
| 1444× | +-commutative |
| 974× | associate-+r+ |
| 882× | *-commutative |
| 840× | associate-*r* |
| 798× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 987 | 36225 |
| 1 | 3438 | 35849 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 (+.f64 1 (*.f64 beta (-.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 1 (*.f64 beta (-.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 alpha)) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6)))) (*.f64 beta (-.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(/.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 -2 alpha)) beta) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 4 (/.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) (+.f64 (*.f64 -2 (/.f64 alpha beta)) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 4 (/.f64 1 beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (/.f64 (*.f64 (-.f64 (pow.f64 alpha 2) (+.f64 (*.f64 (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3))))))) (+.f64 (*.f64 -2 (/.f64 alpha beta)) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 beta)) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (pow.f64 alpha 2) (+.f64 (*.f64 (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 4)) (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 alpha 2) (+.f64 (*.f64 (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 (pow.f64 alpha 2) (+.f64 (*.f64 (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 4)))))))))) (+.f64 (*.f64 -2 (/.f64 alpha beta)) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 2 alpha)) beta)) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha)))) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 2 alpha)) beta)))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha)))) (*.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 (pow.f64 alpha 2) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha))))) (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha)))) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 2 alpha)) beta))))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha)))) (*.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 (pow.f64 alpha 2) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha))))) (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha)))) (*.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 (pow.f64 alpha 2) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha))))) (pow.f64 (+.f64 2 alpha) 2))))))) (pow.f64 beta 4))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (pow.f64 alpha 2) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha))))) (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 4)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha)))) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 2 alpha)) beta))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) |
(-.f64 1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) |
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4)) (*.f64 -2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha) 1) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) |
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4)) (*.f64 -2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha) (+.f64 1 (*.f64 (pow.f64 alpha 2) (-.f64 (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (*.f64 -2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) |
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4)) (*.f64 -2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) alpha) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (*.f64 -2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 6))) (pow.f64 alpha 3)) (+.f64 1 (*.f64 (pow.f64 alpha 2) (-.f64 (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (*.f64 -2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) |
(/.f64 (-.f64 (+.f64 4 (*.f64 2 beta)) (*.f64 -2 beta)) alpha) |
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (*.f64 -2 beta) (+.f64 4 (*.f64 2 beta)))) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha))))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -2 (/.f64 beta alpha)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) (+.f64 4 (*.f64 2 beta))) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (*.f64 -2 beta) (+.f64 4 (*.f64 2 beta)))))) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 3)) (*.f64 4 (/.f64 1 alpha))))))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -2 (/.f64 beta alpha)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) (+.f64 4 (*.f64 2 beta))) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (*.f64 -2 beta) (+.f64 4 (*.f64 2 beta)))))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 (-.f64 (*.f64 -2 beta) (+.f64 4 (*.f64 2 beta))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (+.f64 4 (*.f64 2 beta))) (*.f64 (-.f64 (*.f64 -2 beta) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 4))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 4 (/.f64 1 alpha)) (/.f64 (*.f64 (-.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (*.f64 -2 beta) (+.f64 4 (*.f64 2 beta)))))) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 3))))))))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -2 (/.f64 beta alpha)))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta)) alpha)) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2)))) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta)) alpha)))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2)))) (*.f64 -2 (*.f64 (-.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2))))))) (+.f64 beta 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2)))) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta)) alpha))))) (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) |
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1 |
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1 |
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1 |
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1 |
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(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 (neg.f64 (-.f64 -2 (+.f64 beta alpha))) (-.f64 -2 (+.f64 beta alpha)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) (neg.f64 (-.f64 -2 (+.f64 beta alpha)))) |
(/.f64 (/.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (-.f64 -2 (+.f64 beta alpha))) 1) (-.f64 -2 (+.f64 beta alpha))) |
(/.f64 (/.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (-.f64 -2 (+.f64 beta alpha))) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha)))) |
(/.f64 (/.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (-.f64 -2 (+.f64 beta alpha))) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))) 2)) (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))) |
(/.f64 (neg.f64 (pow.f64 (-.f64 beta alpha) 2)) (neg.f64 (pow.f64 (-.f64 -2 (+.f64 beta alpha)) 2))) |
(/.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (-.f64 -2 (+.f64 beta alpha)))) (neg.f64 (-.f64 -2 (+.f64 beta alpha)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) 1) (*.f64 (neg.f64 (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 beta alpha)))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2) |
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2) 1) |
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 2) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 6) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 4)) |
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 6)) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) |
(exp.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 2)) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) |
(+.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (neg.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(+.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(-.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) 1) |
(*.f64 1 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) 2) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(*.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) |
(*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (/.f64 1 (neg.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.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 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 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 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) 2) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) 2) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3) 1/3) |
(pow.f64 (/.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) -1) |
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (neg.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) 3) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (log1p.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))))) |
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (log1p.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
| Outputs |
|---|
(-.f64 1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) |
(-.f64 (+.f64 1 (*.f64 beta (-.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(+.f64 1 (-.f64 (*.f64 beta (+.f64 (/.f64 (*.f64 (*.f64 alpha alpha) (+.f64 4 (*.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 4)) (*.f64 2 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 (*.f64 alpha (*.f64 alpha (+.f64 4 (*.f64 alpha 2)))) (pow.f64 (+.f64 alpha 2) 4)) (*.f64 2 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))) (-.f64 1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)))) |
(-.f64 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 1 (*.f64 beta (-.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4)) (-.f64 (/.f64 (-.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (*.f64 (*.f64 alpha alpha) (+.f64 4 (*.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 4 (*.f64 alpha 2)))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 1 (*.f64 beta (+.f64 (/.f64 (*.f64 (*.f64 alpha alpha) (+.f64 4 (*.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 4)) (*.f64 2 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) |
(-.f64 (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4)) (-.f64 (/.f64 (-.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (*.f64 alpha (*.f64 alpha (+.f64 4 (*.f64 alpha 2)))) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 4 (*.f64 alpha 2)))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 1 (*.f64 beta (+.f64 (/.f64 (*.f64 alpha (*.f64 alpha (+.f64 4 (*.f64 alpha 2)))) (pow.f64 (+.f64 alpha 2) 4)) (*.f64 2 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) |
(-.f64 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 alpha)) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6)))) (*.f64 beta (-.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4)) (-.f64 (/.f64 (-.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (*.f64 (*.f64 alpha alpha) (+.f64 4 (*.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 4 (*.f64 alpha 2)))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 1 (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 (+.f64 4 (*.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (-.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (*.f64 (*.f64 alpha alpha) (+.f64 4 (*.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 4 (*.f64 alpha 2)))))))) (-.f64 (/.f64 (*.f64 alpha -2) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 6) (+.f64 4 (*.f64 alpha 2)))))) (*.f64 beta (+.f64 (/.f64 (*.f64 (*.f64 alpha alpha) (+.f64 4 (*.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 4)) (*.f64 2 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))))))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) |
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1 |
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1 |
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1 |
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1 |
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(*.f64 1/2 (/.f64 (-.f64 (+.f64 4 (*.f64 2 beta)) (*.f64 -2 beta)) alpha)) |
(/.f64 (*.f64 1/2 (+.f64 4 (-.f64 (*.f64 2 beta) (*.f64 beta -2)))) alpha) |
(/.f64 (*.f64 (+.f64 4 (-.f64 (*.f64 2 beta) (*.f64 beta -2))) 1/2) alpha) |
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(*.f64 -1/2 (/.f64 (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta)) alpha)) |
(/.f64 (*.f64 -1/2 (+.f64 (+.f64 (*.f64 beta -2) -4) (*.f64 beta -2))) alpha) |
(/.f64 (*.f64 (+.f64 (*.f64 beta -2) (+.f64 (*.f64 beta -2) -4)) -1/2) alpha) |
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(*.f64 (/.f64 1 (pow.f64 (-.f64 (-.f64 -2 beta) alpha) 2)) (pow.f64 (-.f64 beta alpha) 2)) |
(pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2) |
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(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
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(+.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(-.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) 1) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 1 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
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(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
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(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) 2) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (/.f64 1 (neg.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2))) (/.f64 1 (neg.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (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)) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.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 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (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 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 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 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3))) (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (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)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) 2) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) 2) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2))) 2) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2))) 2) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.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)) |
(pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 3) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3) 1/3) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(pow.f64 (/.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) -1) |
(/.f64 1 (/.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)))) |
(/.f64 1 (/.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)))) |
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (neg.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2))) (/.f64 1 (neg.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) 3) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (log1p.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2))) (log1p.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 (+.f64 alpha 2) beta))))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2))) (log1p.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta)))))) |
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (log1p.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))) 1)) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2))) (log1p.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 (+.f64 alpha 2) beta))))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2))) (log1p.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta)))))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
Compiled 79205 to 54649 computations (31% saved)
23 alts after pruning (14 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1497 | 9 | 1506 |
| Fresh | 2 | 5 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 8 | 9 |
| Total | 1500 | 23 | 1523 |
| Status | Error | Program |
|---|---|---|
| ▶ | 57.2b | (/.f64 (/.f64 (-.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta)) (*.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta))) 2) |
| ▶ | 57.4b | (/.f64 (/.f64 (-.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (-.f64 -2 beta))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha)) 2) |
| 34.4b | (/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 beta alpha)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2) | |
| ✓ | 34.4b | (/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2) |
| 50.2b | (/.f64 (/.f64 (+.f64 beta 2) alpha) 2) | |
| 57.4b | (/.f64 (/.f64 (+.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 beta alpha))) 2) | |
| ✓ | 47.4b | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
| ▶ | 61.2b | (/.f64 (/.f64 beta alpha) 2) |
| ✓ | 50.3b | (/.f64 (/.f64 2 alpha) 2) |
| 47.6b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (-.f64 4 (*.f64 beta beta)) alpha) (/.f64 (-.f64 4 (*.f64 beta beta)) (-.f64 -2 beta)))) 2) | |
| ▶ | 58.7b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2) |
| 48.3b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha))) 2) | |
| ✓ | 13.8b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| 48.8b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) 2) | |
| 54.5b | (/.f64 (-.f64 (-.f64 (/.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta alpha))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) | |
| ✓ | 13.8b | (/.f64 (-.f64 (*.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) beta) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| ▶ | 32.3b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| ✓ | 14.2b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
| ✓ | 16.0b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| ✓ | 35.9b | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| 57.1b | (/.f64 (*.f64 (/.f64 (+.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)) (*.f64 (/.f64 alpha (-.f64 -2 beta)) (+.f64 alpha (+.f64 beta 2)))) beta) 2) | |
| 58.7b | (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) | |
| ✓ | 37.4b | (/.f64 2 2) |
Compiled 789 to 544 computations (31.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 alpha (+.f64 alpha 2)) |
| ✓ | 2.1b | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
Compiled 29 to 21 computations (27.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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 1 (/.f64 alpha (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | inf | (/.f64 alpha (+.f64 alpha 2)) |
| 0.0ms | alpha | @ | 0 | (/.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 |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 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| 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))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (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 (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 (+.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 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))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(*.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 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)) 2)) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (/.f64 alpha (+.f64 alpha 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)) 3))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)))) |
(*.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 (*.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 (-.f64 1 (/.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 (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 -1 (/.f64 alpha (+.f64 alpha 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 (/.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 alpha (+.f64 alpha 2)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 1))))) |
(*.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))) (fma.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) 1)) |
(/.f64 1 (/.f64 1 (+.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 alpha (+.f64 alpha 2)))) |
(*.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 (/.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))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (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 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (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 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 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 (sqrt.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))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (/.f64 (+.f64 (+.f64 1 (/.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 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.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 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.f64 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
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(/.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 13 to 6 computations (53.8% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 beta (+.f64 beta (+.f64 alpha 2))) | |
| ✓ | 0.0b | (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) |
Compiled 52 to 26 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | beta | @ | 0 | (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) |
| 0.0ms | alpha | @ | inf | (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) |
| 0.0ms | alpha | @ | -inf | (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) |
| 0.0ms | alpha | @ | 0 | (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) |
| 0.0ms | beta | @ | inf | (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) |
| 1× | batch-egg-rewrite |
| 1404× | distribute-lft-in |
| 1386× | associate-/r/ |
| 728× | associate-/l/ |
| 318× | add-sqr-sqrt |
| 308× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 35 |
| 1 | 292 | 31 |
| 2 | 4839 | 31 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1338× | associate-*r* |
| 1094× | associate-*l* |
| 986× | associate-/r* |
| 712× | distribute-lft-in |
| 696× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 469 | 14881 |
| 1 | 1658 | 14753 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))) |
(/.f64 beta alpha) |
(+.f64 1 (/.f64 beta alpha)) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) |
(/.f64 beta alpha) |
(+.f64 1 (/.f64 beta alpha)) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) |
(/.f64 beta alpha) |
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (+.f64 beta 2))))) |
(/.f64 (-.f64 beta (*.f64 -1 beta)) alpha) |
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(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 2) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta alpha) 3)))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 2) (neg.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))) (neg.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta alpha) 3)) (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha))) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)))))) (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta alpha) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) 3) (pow.f64 (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha))) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 (*.f64 (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha))) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)))) (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha))))))) |
(*.f64 (/.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 beta (+.f64 alpha 2)))) (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) alpha)) (-.f64 beta (+.f64 alpha 2))) |
(*.f64 (/.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 beta (+.f64 alpha 2)))) (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) alpha)) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 2))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)))) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta alpha) 3)))) |
(/.f64 1 (/.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (fma.f64 beta alpha (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 3) (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 2)) |
(/.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 2) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha))) |
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta alpha) 3)) (+.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta alpha) 3)) (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha))))) |
(/.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 beta (+.f64 alpha 2)))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))) |
(/.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 beta (+.f64 alpha 2)))) (*.f64 (-.f64 beta (+.f64 alpha 2)) alpha)) |
(/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 2) (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 2)) (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 3)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta alpha) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta alpha) 3))) (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) (*.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)))) (+.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha))))))) |
(/.f64 (*.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 beta (+.f64 alpha 2)))) (fma.f64 beta alpha (*.f64 beta (+.f64 beta (+.f64 alpha 2))))) (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) (*.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta alpha) 3))) (+.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 3) (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha))))) |
(/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) (fma.f64 beta alpha (*.f64 beta (+.f64 beta (+.f64 alpha 2))))) (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta alpha) 3)) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha))) (+.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 3) (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha))))) |
(/.f64 (*.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha))) (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (/.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 2))) alpha) |
(/.f64 (-.f64 (*.f64 (*.f64 beta alpha) (*.f64 beta alpha)) (*.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 beta (+.f64 beta (+.f64 alpha 2))))) (*.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (fma.f64 beta alpha (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 beta alpha) (*.f64 beta alpha)) (*.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 beta (+.f64 beta (+.f64 alpha 2))))) (*.f64 (*.f64 (-.f64 beta (+.f64 alpha 2)) alpha) (fma.f64 beta alpha (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 (/.f64 beta alpha) 2))) (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 3)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (*.f64 (pow.f64 (/.f64 beta alpha) 3) (pow.f64 (/.f64 beta alpha) 3))) (*.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)))) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta alpha) 3)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (*.f64 (pow.f64 (/.f64 beta alpha) 3) (pow.f64 (/.f64 beta alpha) 3))) (*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)))) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta alpha) 3)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 beta alpha) 3) (pow.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (*.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 (*.f64 beta alpha) (*.f64 beta alpha)) (+.f64 (*.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))) (*.f64 (*.f64 beta alpha) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 beta alpha) 3) (pow.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (*.f64 (*.f64 (-.f64 beta (+.f64 alpha 2)) alpha) (+.f64 (*.f64 (*.f64 beta alpha) (*.f64 beta alpha)) (+.f64 (*.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))) (*.f64 (*.f64 beta alpha) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) 3) (pow.f64 (pow.f64 (/.f64 beta alpha) 2) 3)) (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 (/.f64 beta alpha) 2)) (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 beta alpha) 2)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) 3) (pow.f64 (pow.f64 (/.f64 beta alpha) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)))) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.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 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta alpha) 3)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) 3) (pow.f64 (pow.f64 (/.f64 beta alpha) 3) 3)) (*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)))) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.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 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta alpha) 3)))))) |
(/.f64 (+.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta (/.f64 alpha beta))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 alpha beta))) |
(/.f64 (+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 beta (neg.f64 alpha))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 alpha))) |
(/.f64 (+.f64 (*.f64 beta (/.f64 alpha beta)) (*.f64 (-.f64 beta (+.f64 alpha 2)) 1)) (*.f64 (-.f64 beta (+.f64 alpha 2)) (/.f64 alpha beta))) |
(/.f64 (+.f64 (*.f64 (-.f64 beta (+.f64 alpha 2)) beta) (*.f64 beta (neg.f64 alpha))) (*.f64 (-.f64 beta (+.f64 alpha 2)) (neg.f64 alpha))) |
(/.f64 (+.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) beta)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha)) |
(/.f64 (+.f64 (/.f64 alpha beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) 1)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (/.f64 alpha beta))) |
(/.f64 (+.f64 (neg.f64 alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) beta)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (neg.f64 alpha))) |
(/.f64 (-.f64 (*.f64 beta (/.f64 alpha beta)) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 alpha beta))) |
(/.f64 (-.f64 (*.f64 beta (neg.f64 alpha)) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 alpha))) |
(/.f64 (-.f64 (*.f64 beta alpha) (*.f64 (-.f64 beta (+.f64 alpha 2)) beta)) (*.f64 (-.f64 beta (+.f64 alpha 2)) alpha)) |
(/.f64 (-.f64 (*.f64 beta (/.f64 alpha beta)) (*.f64 (-.f64 beta (+.f64 alpha 2)) 1)) (*.f64 (-.f64 beta (+.f64 alpha 2)) (/.f64 alpha beta))) |
(/.f64 (-.f64 (*.f64 beta (neg.f64 alpha)) (*.f64 (-.f64 beta (+.f64 alpha 2)) beta)) (*.f64 (-.f64 beta (+.f64 alpha 2)) (neg.f64 alpha))) |
(/.f64 (-.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) beta)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha)) |
(/.f64 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) 1)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (/.f64 alpha beta))) |
(/.f64 (-.f64 (neg.f64 alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) beta)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (neg.f64 alpha))) |
(/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 2) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta alpha) 3))) (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 3) (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)))))) |
(/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 2) (fma.f64 beta alpha (*.f64 beta (+.f64 beta (+.f64 alpha 2))))) (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta alpha) 3)) (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 2)) (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta alpha) 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta alpha) 3)) (fma.f64 beta alpha (*.f64 beta (+.f64 beta (+.f64 alpha 2))))) (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) (*.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (*.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 2)) (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) (*.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha))))) |
(/.f64 (*.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta alpha) 3))) (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) (*.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha))))))) |
(/.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 2)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta alpha) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)))))) |
(/.f64 (neg.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 beta (+.f64 alpha 2))))) (neg.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 1) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha))) 3) |
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha))))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)))) |
(exp.f64 (log.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)))) |
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) |
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) |
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta alpha)) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta alpha)) |
| Outputs |
|---|
(*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))) |
(fma.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha)) (neg.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)))) |
(fma.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha)) (/.f64 (*.f64 (neg.f64 beta) beta) (pow.f64 (+.f64 2 alpha) 2))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))) |
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(/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 2) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta alpha) 3))) (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 3) (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) 2) (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))) (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 3) (pow.f64 (/.f64 beta alpha) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) 3) (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (/.f64 (*.f64 beta (/.f64 beta alpha)) (+.f64 beta (+.f64 2 alpha))))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2) (+.f64 (pow.f64 (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 4) (*.f64 (pow.f64 (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2) (/.f64 beta (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 alpha beta)))))) (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (/.f64 beta alpha) 3))) |
(/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 2) (fma.f64 beta alpha (*.f64 beta (+.f64 beta (+.f64 alpha 2))))) (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 beta (+.f64 2 alpha)))) (/.f64 (/.f64 1 alpha) (+.f64 beta (+.f64 2 alpha)))) |
(*.f64 (/.f64 1 alpha) (/.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 2 (+.f64 beta alpha)))) (+.f64 2 (+.f64 beta alpha)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta alpha) 3)) (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 2)) (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta alpha) 3)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 3) (pow.f64 (/.f64 beta alpha) 3)) (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha))))) (/.f64 (pow.f64 (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) 2) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 3) (pow.f64 (/.f64 beta alpha) 3)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2) (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (/.f64 beta alpha) 3))) (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (/.f64 beta alpha) 3)) (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta alpha) 3)) (fma.f64 beta alpha (*.f64 beta (+.f64 beta (+.f64 alpha 2))))) (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) (*.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 3) (pow.f64 (/.f64 beta alpha) 3)) (fma.f64 beta alpha (*.f64 beta (+.f64 beta (+.f64 2 alpha))))) (*.f64 (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (*.f64 alpha (+.f64 beta (+.f64 2 alpha)))) (+.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))))))) |
(*.f64 (/.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 2 (+.f64 beta alpha)))) (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (/.f64 beta alpha) 3)) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (+.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))))))) |
(/.f64 (*.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 2)) (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) (*.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha))))) |
(*.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 beta (+.f64 2 alpha)))) (/.f64 (/.f64 1 alpha) (+.f64 beta (+.f64 2 alpha)))) |
(*.f64 (/.f64 1 alpha) (/.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 2 (+.f64 beta alpha)))) (+.f64 2 (+.f64 beta alpha)))) |
(/.f64 (*.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta alpha) 3))) (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) (*.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 3) (pow.f64 (/.f64 beta alpha) 3)) (fma.f64 beta alpha (*.f64 beta (+.f64 beta (+.f64 2 alpha))))) (*.f64 (*.f64 (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (*.f64 alpha (+.f64 beta (+.f64 2 alpha)))) (+.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))))))) |
(*.f64 (/.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 2 (+.f64 beta alpha)))) (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha))))) (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (/.f64 beta alpha) 3)) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (+.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))))))) |
(/.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 2)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)))) |
(/.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) 2)) (neg.f64 (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))))) |
(/.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2)) (neg.f64 (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta alpha) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 3) (pow.f64 (/.f64 beta alpha) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (/.f64 beta alpha) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))))))) |
(/.f64 (neg.f64 (fma.f64 beta alpha (*.f64 beta (+.f64 beta (+.f64 alpha 2))))) (neg.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (*.f64 beta (-.f64 (neg.f64 alpha) (+.f64 beta (+.f64 2 alpha)))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 alpha))) |
(/.f64 beta (/.f64 (*.f64 alpha (neg.f64 (+.f64 2 (+.f64 beta alpha)))) (-.f64 (neg.f64 alpha) (+.f64 2 (+.f64 beta alpha))))) |
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 1) |
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) |
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha))) 2) |
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) |
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha))) 3) |
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) |
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) |
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 3) 1/3) |
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) |
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 2)) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) 2)) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)))) |
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) |
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha))))) |
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) |
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 3)) |
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) |
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)))) |
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) |
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) |
(exp.f64 (log.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)))) |
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) |
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha))) 1)) |
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) |
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)))) |
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) |
(+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) |
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) |
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (/.f64 beta alpha)) |
(fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (/.f64 beta alpha)) |
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) |
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (/.f64 beta alpha)) |
(fma.f64 beta (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (/.f64 beta alpha)) |
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta alpha)) |
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (/.f64 beta alpha)) |
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (sqrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (/.f64 beta alpha)) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta alpha)) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) (/.f64 beta alpha)) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) 2) (cbrt.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))) (/.f64 beta alpha)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (-.f64 -2 beta)) |
| ✓ | 0.0b | (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) |
| ✓ | 0.1b | (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha) |
| ✓ | 10.1b | (/.f64 (-.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (-.f64 -2 beta))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha)) |
Compiled 105 to 65 computations (38.1% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 48.0ms | alpha | @ | inf | (/.f64 (-.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (-.f64 -2 beta))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha)) |
| 1.0ms | beta | @ | 0 | (/.f64 (-.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (-.f64 -2 beta))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha)) |
| 1.0ms | alpha | @ | -inf | (/.f64 (-.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (-.f64 -2 beta))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha)) |
| 1.0ms | beta | @ | inf | (/.f64 (-.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (-.f64 -2 beta))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha)) |
| 1.0ms | beta | @ | -inf | (/.f64 (-.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (-.f64 -2 beta))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha)) |
| 1× | batch-egg-rewrite |
| 968× | distribute-lft-neg-in |
| 904× | distribute-rgt-neg-in |
| 374× | +-commutative |
| 370× | add-sqr-sqrt |
| 360× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 142 |
| 1 | 345 | 142 |
| 2 | 5591 | 142 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (-.f64 -2 beta))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha)) |
(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha) |
(/.f64 (+.f64 beta (+.f64 alpha 2)) beta) |
(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (-.f64 -2 beta)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 alpha (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha)) (*.f64 (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha)) (*.f64 alpha (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 alpha (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha)) (*.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha)))) 1)))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) -2) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (neg.f64 beta)) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (*.f64 (neg.f64 beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (*.f64 -2 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 beta (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -2 beta) (/.f64 beta 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| 1× | egg-herbie |
| 700× | associate-/l* |
| 690× | associate-*r* |
| 660× | associate-*l* |
| 648× | associate-/r* |
| 628× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 541 | 11879 |
| 1 | 1649 | 11215 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 beta 2) alpha) |
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 beta (-.f64 1 (*.f64 -1 (+.f64 (*.f64 2 (/.f64 1 beta)) 1)))) (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha)))) 1) |
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (*.f64 beta (-.f64 1 (*.f64 -1 (+.f64 (*.f64 2 (/.f64 1 beta)) 1)))) (pow.f64 (+.f64 beta 2) 2))) alpha) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 beta (-.f64 1 (*.f64 -1 (+.f64 (*.f64 2 (/.f64 1 beta)) 1)))) (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha))))) 1) |
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (*.f64 beta (-.f64 1 (*.f64 -1 (+.f64 (*.f64 2 (/.f64 1 beta)) 1)))) (pow.f64 (+.f64 beta 2) 2))) alpha) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 beta (-.f64 1 (*.f64 -1 (+.f64 (*.f64 2 (/.f64 1 beta)) 1)))) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 beta (-.f64 1 (*.f64 -1 (+.f64 (*.f64 2 (/.f64 1 beta)) 1)))) (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha)))))) 1) |
(/.f64 (*.f64 beta (-.f64 1 (*.f64 -1 (/.f64 (+.f64 beta 2) beta)))) alpha) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) beta) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) (*.f64 beta (+.f64 beta 2)))) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) beta) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (/.f64 (*.f64 beta (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) (+.f64 beta 2))) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) (+.f64 beta 2))))) (pow.f64 alpha 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) (*.f64 beta (+.f64 beta 2)))) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) beta) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) (/.f64 (*.f64 beta (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) (+.f64 beta 2))) (pow.f64 alpha 2))) |
(/.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 beta)) 2)) alpha) |
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 2) beta) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 2) (+.f64 beta 2))) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 2) (+.f64 beta 2))))) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 2) beta) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 2) (*.f64 beta (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 2) (+.f64 beta 2))))) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 2) beta) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) |
(/.f64 2 alpha) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (+.f64 2 alpha) alpha))) (*.f64 -1 (/.f64 (+.f64 4 alpha) (*.f64 (+.f64 2 alpha) alpha)))))) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) alpha)) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) (*.f64 -1 (/.f64 (+.f64 4 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (+.f64 2 alpha) alpha))) (*.f64 -1 (/.f64 (+.f64 4 alpha) (*.f64 (+.f64 2 alpha) alpha)))))) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) alpha)) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) (*.f64 -1 (/.f64 (+.f64 4 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (+.f64 2 alpha) alpha))) (*.f64 -1 (/.f64 (+.f64 4 alpha) (*.f64 (+.f64 2 alpha) alpha)))))) (*.f64 2 (/.f64 1 alpha))))) |
(/.f64 beta alpha) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (+.f64 4 alpha) alpha)) (*.f64 2 (/.f64 1 alpha)))) (/.f64 beta alpha)) |
(-.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (+.f64 4 alpha) alpha)) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 (+.f64 2 alpha) (*.f64 beta alpha))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 alpha) alpha)) (*.f64 2 (/.f64 1 alpha)))) beta))) |
(-.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (+.f64 4 alpha) alpha)) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 2 (/.f64 (+.f64 2 alpha) alpha)) (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 alpha) alpha)) (*.f64 2 (/.f64 1 alpha))))))) (pow.f64 beta 2))) (*.f64 2 (/.f64 (+.f64 2 alpha) (*.f64 beta alpha)))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 alpha) alpha)) (*.f64 2 (/.f64 1 alpha)))) beta))) |
(/.f64 beta alpha) |
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(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (/.f64 (-.f64 alpha (*.f64 -1 (+.f64 4 alpha))) alpha)) (*.f64 -1 (/.f64 (+.f64 2 alpha) alpha)))) (*.f64 2 (/.f64 (+.f64 2 alpha) (*.f64 beta alpha))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 alpha (*.f64 -1 (+.f64 4 alpha))) alpha)) (*.f64 -1 (/.f64 (+.f64 2 alpha) alpha))) (+.f64 2 alpha)) beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 2 (/.f64 (+.f64 2 alpha) alpha)) (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 (/.f64 (-.f64 alpha (*.f64 -1 (+.f64 4 alpha))) alpha)) (*.f64 -1 (/.f64 (+.f64 2 alpha) alpha))))))) (pow.f64 beta 2))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (/.f64 (-.f64 alpha (*.f64 -1 (+.f64 4 alpha))) alpha)) (*.f64 -1 (/.f64 (+.f64 2 alpha) alpha)))) (*.f64 2 (/.f64 (+.f64 2 alpha) (*.f64 beta alpha)))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 alpha (*.f64 -1 (+.f64 4 alpha))) alpha)) (*.f64 -1 (/.f64 (+.f64 2 alpha) alpha))) (+.f64 2 alpha)) beta))) |
(/.f64 (*.f64 (+.f64 2 alpha) alpha) beta) |
(+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) beta) alpha) |
(+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) beta) alpha) |
(+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) beta) alpha) |
alpha |
(+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) beta) alpha) |
(+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) beta) alpha) |
(+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) beta) alpha) |
alpha |
(+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) beta) alpha) |
(+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) beta) alpha) |
(+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) beta) alpha) |
(/.f64 (*.f64 (+.f64 beta 2) alpha) beta) |
(+.f64 (/.f64 (pow.f64 alpha 2) beta) (/.f64 (*.f64 (+.f64 beta 2) alpha) beta)) |
(+.f64 (/.f64 (pow.f64 alpha 2) beta) (/.f64 (*.f64 (+.f64 beta 2) alpha) beta)) |
(+.f64 (/.f64 (pow.f64 alpha 2) beta) (/.f64 (*.f64 (+.f64 beta 2) alpha) beta)) |
(/.f64 (pow.f64 alpha 2) beta) |
(+.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 1) alpha) (/.f64 (pow.f64 alpha 2) beta)) |
(+.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 1) alpha) (/.f64 (pow.f64 alpha 2) beta)) |
(+.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 1) alpha) (/.f64 (pow.f64 alpha 2) beta)) |
(/.f64 (pow.f64 alpha 2) beta) |
(+.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 1) alpha) (/.f64 (pow.f64 alpha 2) beta)) |
(+.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 1) alpha) (/.f64 (pow.f64 alpha 2) beta)) |
(+.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 1) alpha) (/.f64 (pow.f64 alpha 2) beta)) |
(/.f64 (+.f64 2 alpha) beta) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 1 (/.f64 alpha beta))) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 1 (/.f64 alpha beta))) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 1 (/.f64 alpha beta))) |
1 |
(+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (/.f64 alpha beta) 1)) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (/.f64 alpha beta) 1)) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (/.f64 alpha beta) 1)) |
1 |
(+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (/.f64 alpha beta) 1)) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (/.f64 alpha beta) 1)) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (/.f64 alpha beta) 1)) |
(/.f64 (+.f64 beta 2) beta) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (/.f64 alpha beta) 1)) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (/.f64 alpha beta) 1)) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (/.f64 alpha beta) 1)) |
(/.f64 alpha beta) |
(+.f64 1 (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(+.f64 1 (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(+.f64 1 (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(/.f64 alpha beta) |
(+.f64 1 (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(+.f64 1 (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(+.f64 1 (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(*.f64 -2 (/.f64 (+.f64 2 alpha) beta)) |
(+.f64 (*.f64 -1 (+.f64 4 alpha)) (*.f64 -2 (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 (*.f64 -1 beta) (+.f64 (*.f64 -1 (+.f64 4 alpha)) (*.f64 -2 (/.f64 (+.f64 2 alpha) beta)))) |
(+.f64 (*.f64 -1 beta) (+.f64 (*.f64 -1 (+.f64 4 alpha)) (*.f64 -2 (/.f64 (+.f64 2 alpha) beta)))) |
(*.f64 -1 beta) |
(+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 4 alpha))) |
(+.f64 (*.f64 -1 beta) (+.f64 (*.f64 -1 (+.f64 4 alpha)) (*.f64 -2 (/.f64 (+.f64 2 alpha) beta)))) |
(+.f64 (*.f64 -1 beta) (+.f64 (*.f64 -1 (+.f64 4 alpha)) (*.f64 -2 (/.f64 (+.f64 2 alpha) beta)))) |
(*.f64 -1 beta) |
(+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 4 alpha))) |
(+.f64 (*.f64 -1 beta) (+.f64 (*.f64 -1 (+.f64 4 alpha)) (*.f64 -2 (/.f64 (+.f64 2 alpha) beta)))) |
(+.f64 (*.f64 -1 beta) (+.f64 (*.f64 -1 (+.f64 4 alpha)) (*.f64 -2 (/.f64 (+.f64 2 alpha) beta)))) |
(*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) beta)) |
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(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 1) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) beta))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 1) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) beta))) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) alpha) beta)) |
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(*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) alpha) beta)) |
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(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) beta)) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) alpha) beta))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) beta)) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) alpha) beta))) |
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(-.f64 (*.f64 alpha (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha)) (*.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha)))) 1) |
(*.f64 beta (-.f64 (/.f64 alpha (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha)) |
(*.f64 (*.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha)) 1) |
(*.f64 1 (*.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha))) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha))) (sqrt.f64 (*.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha)))) |
(*.f64 (sqrt.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)))) (*.f64 (sqrt.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha))) 2) (cbrt.f64 (*.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha)))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)))) 2) (*.f64 (cbrt.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha))) |
(*.f64 (*.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 1 alpha)) |
(*.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha) (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)))) |
(*.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) alpha)) |
(*.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha alpha) (/.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) alpha))) |
(*.f64 (+.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (neg.f64 alpha)) (/.f64 1 (*.f64 alpha (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)))) |
(*.f64 (/.f64 1 alpha) (*.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))) (/.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) (sqrt.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))) (-.f64 (/.f64 alpha (sqrt.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))) (/.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) 2)) (/.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) (cbrt.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) 2)) (-.f64 (/.f64 alpha (cbrt.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))) (/.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))))) |
(*.f64 (/.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))) beta) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)))) alpha) (/.f64 (sqrt.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)))) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)))) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (/.f64 (sqrt.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)))) alpha)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)))) 1) (/.f64 (sqrt.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)))) (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)))) (pow.f64 (cbrt.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) 2)) (/.f64 (sqrt.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)))) (cbrt.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)))) 2) alpha) (/.f64 (cbrt.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)))) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)))) 2) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (/.f64 (cbrt.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)))) alpha)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)))) (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)))) 2) (sqrt.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))) (/.f64 (cbrt.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)))) (sqrt.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)))) 2) (pow.f64 (cbrt.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) 2)) (cbrt.f64 (*.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha)))) |
(pow.f64 (*.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha))) 3) |
(pow.f64 (pow.f64 (*.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha)) 3) 1/3) |
(pow.f64 (/.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)))) -1) |
(neg.f64 (/.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) (*.f64 alpha (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)))) |
(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha)) 2)) |
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha))))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) 3) (pow.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha)))) |
(exp.f64 (log.f64 (*.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))) 1) |
(/.f64 alpha (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) |
(/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 beta alpha)) |
(/.f64 1 (/.f64 beta (*.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) beta) |
(/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) beta) |
(/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 beta)) (sqrt.f64 beta)) |
(/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta)) |
(/.f64 (*.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (neg.f64 beta)) |
(pow.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) 1) |
(pow.f64 (sqrt.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) 2) |
(pow.f64 (cbrt.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) 3) |
(pow.f64 (pow.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) 3) 1/3) |
(neg.f64 (*.f64 alpha (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) |
(sqrt.f64 (pow.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) alpha)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))))) |
(cbrt.f64 (pow.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) 3) (pow.f64 alpha 3))) |
(expm1.f64 (log1p.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))) |
(exp.f64 (log.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) 1) |
(*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 1 beta)) |
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) 1) |
(*.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) |
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 beta))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) 2) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 beta))) |
(*.f64 (/.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) |
(*.f64 (-.f64 -2 (+.f64 alpha beta)) (/.f64 1 (neg.f64 beta))) |
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (sqrt.f64 beta))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (cbrt.f64 beta))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 1) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) beta)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 beta))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) beta)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 beta))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) |
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) 3) 1/3) |
(pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) -1) |
(neg.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) (pow.f64 beta 3))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) |
(exp.f64 (log.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) |
(+.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) -2) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (neg.f64 beta))) |
(+.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (neg.f64 beta)) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) -2)) |
(+.f64 (*.f64 -2 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (*.f64 (neg.f64 beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) |
(+.f64 (*.f64 (neg.f64 beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (*.f64 -2 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) 1) |
(/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 beta (-.f64 -2 beta))) |
(/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) |
(/.f64 1 (/.f64 beta (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta)))) |
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta)) beta) |
(/.f64 (-.f64 4 (*.f64 beta beta)) (*.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 beta -2))) |
(/.f64 (-.f64 -8 (pow.f64 beta 3)) (*.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))) |
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 4 (*.f64 beta beta))) (*.f64 beta (+.f64 beta -2))) |
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -8 (pow.f64 beta 3))) (*.f64 beta (+.f64 4 (*.f64 beta (+.f64 beta -2))))) |
(/.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (-.f64 4 (*.f64 beta beta))) (+.f64 beta -2)) |
(/.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (-.f64 -8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) |
(/.f64 (*.f64 (-.f64 4 (*.f64 beta beta)) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (+.f64 beta -2)) |
(/.f64 (*.f64 (-.f64 -8 (pow.f64 beta 3)) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) |
(/.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta)) 1) beta) |
(/.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta)) (sqrt.f64 beta)) (sqrt.f64 beta)) |
(/.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta)) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta)) |
(/.f64 (*.f64 (-.f64 -2 beta) (-.f64 -2 (+.f64 alpha beta))) (neg.f64 beta)) |
(/.f64 (*.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 4 (*.f64 beta beta))) (*.f64 (neg.f64 beta) (+.f64 beta -2))) |
(/.f64 (*.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -8 (pow.f64 beta 3))) (*.f64 (neg.f64 beta) (+.f64 4 (*.f64 beta (+.f64 beta -2))))) |
(/.f64 (*.f64 (-.f64 4 (*.f64 beta beta)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta -2) beta)) |
(/.f64 (*.f64 (-.f64 4 (*.f64 beta beta)) 1) (*.f64 (+.f64 beta -2) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 (*.f64 (-.f64 4 (*.f64 beta beta)) (-.f64 -2 (+.f64 alpha beta))) (*.f64 (+.f64 beta -2) (neg.f64 beta))) |
(/.f64 (*.f64 (-.f64 -8 (pow.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) beta)) |
(/.f64 (*.f64 (-.f64 -8 (pow.f64 beta 3)) 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 (*.f64 (-.f64 -8 (pow.f64 beta 3)) (-.f64 -2 (+.f64 alpha beta))) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (neg.f64 beta))) |
(pow.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3) 1/3) |
(neg.f64 (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (-.f64 -2 beta))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) |
(exp.f64 (log.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) |
| Outputs |
|---|
(/.f64 (+.f64 beta 2) alpha) |
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 beta (-.f64 1 (*.f64 -1 (+.f64 (*.f64 2 (/.f64 1 beta)) 1)))) (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha)))) 1) |
(+.f64 (/.f64 beta alpha) (-.f64 (+.f64 (/.f64 beta (/.f64 (+.f64 beta 2) (-.f64 1 (neg.f64 (+.f64 1 (/.f64 2 beta)))))) (/.f64 2 alpha)) 1)) |
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 1 (+.f64 1 (/.f64 2 beta)))) (-.f64 (/.f64 2 alpha) 1))) |
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (*.f64 beta (-.f64 1 (*.f64 -1 (+.f64 (*.f64 2 (/.f64 1 beta)) 1)))) (pow.f64 (+.f64 beta 2) 2))) alpha) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 beta (-.f64 1 (*.f64 -1 (+.f64 (*.f64 2 (/.f64 1 beta)) 1)))) (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha))))) 1) |
(+.f64 (fma.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 1 (neg.f64 (+.f64 1 (/.f64 2 beta))))))) alpha (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (/.f64 (+.f64 beta 2) (-.f64 1 (neg.f64 (+.f64 1 (/.f64 2 beta)))))) (/.f64 2 alpha)))) -1) |
(+.f64 -1 (fma.f64 alpha (-.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 1 (+.f64 1 (/.f64 2 beta))))) (+.f64 (*.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 1 (+.f64 1 (/.f64 2 beta)))) (+.f64 (/.f64 2 alpha) (/.f64 beta alpha))))) |
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (*.f64 beta (-.f64 1 (*.f64 -1 (+.f64 (*.f64 2 (/.f64 1 beta)) 1)))) (pow.f64 (+.f64 beta 2) 2))) alpha) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 beta (-.f64 1 (*.f64 -1 (+.f64 (*.f64 2 (/.f64 1 beta)) 1)))) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 beta (-.f64 1 (*.f64 -1 (+.f64 (*.f64 2 (/.f64 1 beta)) 1)))) (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha)))))) 1) |
(+.f64 (fma.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 1 (neg.f64 (+.f64 1 (/.f64 2 beta))))))) alpha (+.f64 (/.f64 beta alpha) (fma.f64 (-.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 3) (-.f64 1 (neg.f64 (+.f64 1 (/.f64 2 beta)))))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (*.f64 alpha alpha) (+.f64 (/.f64 beta (/.f64 (+.f64 beta 2) (-.f64 1 (neg.f64 (+.f64 1 (/.f64 2 beta)))))) (/.f64 2 alpha))))) -1) |
(+.f64 -1 (+.f64 (+.f64 (/.f64 2 alpha) (fma.f64 (+.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (+.f64 1 (+.f64 1 (/.f64 2 beta)))) (/.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (*.f64 alpha alpha) (*.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 1 (+.f64 1 (/.f64 2 beta)))))) (fma.f64 alpha (-.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 1 (+.f64 1 (/.f64 2 beta))))) (/.f64 beta alpha)))) |
(/.f64 (*.f64 beta (-.f64 1 (*.f64 -1 (/.f64 (+.f64 beta 2) beta)))) alpha) |
(/.f64 (-.f64 1 (neg.f64 (/.f64 (+.f64 beta 2) beta))) (/.f64 alpha beta)) |
(*.f64 (/.f64 beta alpha) (+.f64 1 (/.f64 (+.f64 beta 2) beta))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) beta) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) |
(+.f64 (/.f64 (-.f64 1 (neg.f64 (/.f64 (+.f64 beta 2) beta))) (/.f64 alpha beta)) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (-.f64 1 (neg.f64 (/.f64 (+.f64 beta 2) beta))) (/.f64 (*.f64 alpha alpha) (*.f64 beta (+.f64 beta 2)))))) |
(+.f64 (*.f64 (/.f64 beta alpha) (+.f64 1 (/.f64 (+.f64 beta 2) beta))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 -1 (/.f64 (-.f64 -2 beta) beta)) (*.f64 (/.f64 alpha beta) (/.f64 alpha (+.f64 beta 2)))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) (*.f64 beta (+.f64 beta 2)))) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) beta) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) (/.f64 (*.f64 beta (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) (+.f64 beta 2))) (pow.f64 alpha 2))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (-.f64 1 (neg.f64 (/.f64 (+.f64 beta 2) beta))) (*.f64 beta (+.f64 beta 2)))) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (+.f64 (/.f64 (-.f64 1 (neg.f64 (/.f64 (+.f64 beta 2) beta))) (/.f64 alpha beta)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))) (/.f64 (-.f64 1 (neg.f64 (/.f64 (+.f64 beta 2) beta))) (/.f64 (*.f64 alpha alpha) (*.f64 beta (+.f64 beta 2))))) |
(+.f64 (+.f64 (*.f64 (/.f64 beta alpha) (+.f64 1 (/.f64 (+.f64 beta 2) beta))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (/.f64 (*.f64 (-.f64 -2 beta) (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) (+.f64 beta (*.f64 beta (/.f64 (+.f64 beta 2) beta)))))) (pow.f64 alpha 3)) (/.f64 (+.f64 -1 (/.f64 (-.f64 -2 beta) beta)) (*.f64 (/.f64 alpha beta) (/.f64 alpha (+.f64 beta 2)))))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) (+.f64 beta 2))))) (pow.f64 alpha 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) (*.f64 beta (+.f64 beta 2)))) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) beta) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) (/.f64 (*.f64 beta (*.f64 (-.f64 1 (*.f64 -1 (/.f64 (+.f64 beta 2) beta))) (+.f64 beta 2))) (pow.f64 alpha 2))) |
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(/.f64 beta alpha) |
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(/.f64 beta alpha) |
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alpha |
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alpha |
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(*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) beta) (/.f64 (-.f64 -8 (pow.f64 beta 3)) (fma.f64 beta (+.f64 beta -2) 4))) |
(/.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (-.f64 4 (*.f64 beta beta))) (+.f64 beta -2)) |
(*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) beta) (/.f64 (-.f64 4 (*.f64 beta beta)) (+.f64 beta -2))) |
(*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) beta) (/.f64 (-.f64 4 (*.f64 beta beta)) (+.f64 beta -2))) |
(/.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (-.f64 -8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) |
(*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) beta) (/.f64 (-.f64 -8 (pow.f64 beta 3)) (+.f64 4 (*.f64 beta (+.f64 beta -2))))) |
(*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) beta) (/.f64 (-.f64 -8 (pow.f64 beta 3)) (fma.f64 beta (+.f64 beta -2) 4))) |
(/.f64 (*.f64 (-.f64 4 (*.f64 beta beta)) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (+.f64 beta -2)) |
(*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) beta) (/.f64 (-.f64 4 (*.f64 beta beta)) (+.f64 beta -2))) |
(*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) beta) (/.f64 (-.f64 4 (*.f64 beta beta)) (+.f64 beta -2))) |
(/.f64 (*.f64 (-.f64 -8 (pow.f64 beta 3)) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) |
(*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) beta) (/.f64 (-.f64 -8 (pow.f64 beta 3)) (+.f64 4 (*.f64 beta (+.f64 beta -2))))) |
(*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) beta) (/.f64 (-.f64 -8 (pow.f64 beta 3)) (fma.f64 beta (+.f64 beta -2) 4))) |
(/.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta)) 1) beta) |
(*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) beta) (-.f64 -2 beta)) |
(*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (-.f64 -2 beta) beta)) |
(/.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta)) (sqrt.f64 beta)) (sqrt.f64 beta)) |
(*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) beta) (-.f64 -2 beta)) |
(*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (-.f64 -2 beta) beta)) |
(/.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta)) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta)) |
(*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) beta) (-.f64 -2 beta)) |
(*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (-.f64 -2 beta) beta)) |
(/.f64 (*.f64 (-.f64 -2 beta) (-.f64 -2 (+.f64 alpha beta))) (neg.f64 beta)) |
(/.f64 (-.f64 -2 beta) (/.f64 (neg.f64 beta) (-.f64 -2 (+.f64 beta alpha)))) |
(*.f64 (/.f64 (-.f64 -2 beta) (neg.f64 beta)) (-.f64 -2 (+.f64 beta alpha))) |
(/.f64 (*.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 4 (*.f64 beta beta))) (*.f64 (neg.f64 beta) (+.f64 beta -2))) |
(*.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 beta)) (/.f64 (-.f64 4 (*.f64 beta beta)) (+.f64 beta -2))) |
(/.f64 (*.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -8 (pow.f64 beta 3))) (*.f64 (neg.f64 beta) (+.f64 4 (*.f64 beta (+.f64 beta -2))))) |
(*.f64 (/.f64 (-.f64 -8 (pow.f64 beta 3)) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 beta))) |
(*.f64 (/.f64 (-.f64 -8 (pow.f64 beta 3)) (fma.f64 beta (+.f64 beta -2) 4)) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 beta))) |
(/.f64 (*.f64 (-.f64 4 (*.f64 beta beta)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta -2) beta)) |
(*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) beta) (/.f64 (-.f64 4 (*.f64 beta beta)) (+.f64 beta -2))) |
(*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) beta) (/.f64 (-.f64 4 (*.f64 beta beta)) (+.f64 beta -2))) |
(/.f64 (*.f64 (-.f64 4 (*.f64 beta beta)) 1) (*.f64 (+.f64 beta -2) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) beta) (/.f64 (-.f64 4 (*.f64 beta beta)) (+.f64 beta -2))) |
(*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) beta) (/.f64 (-.f64 4 (*.f64 beta beta)) (+.f64 beta -2))) |
(/.f64 (*.f64 (-.f64 4 (*.f64 beta beta)) (-.f64 -2 (+.f64 alpha beta))) (*.f64 (+.f64 beta -2) (neg.f64 beta))) |
(*.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 beta)) (/.f64 (-.f64 4 (*.f64 beta beta)) (+.f64 beta -2))) |
(/.f64 (*.f64 (-.f64 -8 (pow.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) beta)) |
(*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) beta) (/.f64 (-.f64 -8 (pow.f64 beta 3)) (+.f64 4 (*.f64 beta (+.f64 beta -2))))) |
(*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) beta) (/.f64 (-.f64 -8 (pow.f64 beta 3)) (fma.f64 beta (+.f64 beta -2) 4))) |
(/.f64 (*.f64 (-.f64 -8 (pow.f64 beta 3)) 1) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) beta) (/.f64 (-.f64 -8 (pow.f64 beta 3)) (+.f64 4 (*.f64 beta (+.f64 beta -2))))) |
(*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) beta) (/.f64 (-.f64 -8 (pow.f64 beta 3)) (fma.f64 beta (+.f64 beta -2) 4))) |
(/.f64 (*.f64 (-.f64 -8 (pow.f64 beta 3)) (-.f64 -2 (+.f64 alpha beta))) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (neg.f64 beta))) |
(*.f64 (/.f64 (-.f64 -8 (pow.f64 beta 3)) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 beta))) |
(*.f64 (/.f64 (-.f64 -8 (pow.f64 beta 3)) (fma.f64 beta (+.f64 beta -2) 4)) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 beta))) |
(pow.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1) |
(*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) beta) (-.f64 -2 beta)) |
(*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (-.f64 -2 beta) beta)) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 2) |
(*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) beta) (-.f64 -2 beta)) |
(*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (-.f64 -2 beta) beta)) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 3) |
(*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) beta) (-.f64 -2 beta)) |
(*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (-.f64 -2 beta) beta)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3) 1/3) |
(*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) beta) (-.f64 -2 beta)) |
(*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (-.f64 -2 beta) beta)) |
(neg.f64 (*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) |
(*.f64 (neg.f64 (-.f64 -2 beta)) (/.f64 (-.f64 -2 (+.f64 beta alpha)) beta)) |
(*.f64 (-.f64 -2 beta) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 beta))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -2 beta) beta) (+.f64 (+.f64 beta 2) alpha)) 2)) |
(fabs.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (-.f64 -2 beta) beta))) |
(log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (-.f64 -2 beta))) |
(*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) beta) (-.f64 -2 beta)) |
(*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (-.f64 -2 beta) beta)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))) |
(*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) beta) (-.f64 -2 beta)) |
(*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (-.f64 -2 beta) beta)) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3)) |
(*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) beta) (-.f64 -2 beta)) |
(*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (-.f64 -2 beta) beta)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) beta) (-.f64 -2 beta)) |
(*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (-.f64 -2 beta) beta)) |
(exp.f64 (log.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) beta) (-.f64 -2 beta)) |
(*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (-.f64 -2 beta) beta)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 1)) |
(*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) beta) (-.f64 -2 beta)) |
(*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (-.f64 -2 beta) beta)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 beta) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) beta) (-.f64 -2 beta)) |
(*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (-.f64 -2 beta) beta)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 alpha (-.f64 -2 beta)) |
| 0.0b | (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) | |
| ✓ | 0.1b | (*.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta)) |
| ✓ | 9.9b | (/.f64 (-.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta)) (*.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta))) |
Compiled 111 to 70 computations (36.9% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | beta | @ | 0 | (/.f64 (-.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta)) (*.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta))) |
| 5.0ms | alpha | @ | 0 | (*.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta)) |
| 2.0ms | alpha | @ | 0 | (/.f64 (-.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta)) (*.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta))) |
| 1.0ms | beta | @ | -inf | (/.f64 (-.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta)) (*.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta))) |
| 1.0ms | alpha | @ | inf | (/.f64 (-.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta)) (*.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta))) |
| 1× | batch-egg-rewrite |
| 1108× | distribute-lft-neg-in |
| 408× | +-commutative |
| 384× | add-sqr-sqrt |
| 374× | pow1 |
| 374× | *-un-lft-identity |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 129 |
| 1 | 355 | 129 |
| 2 | 6125 | 129 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta)) (*.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta))) |
(*.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta)) |
(/.f64 alpha (-.f64 -2 beta)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) beta)) (*.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (-.f64 -2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (-.f64 -2 beta)))) (/.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) beta)) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (-.f64 -2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 alpha (-.f64 -2 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 alpha (/.f64 -1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (-.f64 -2 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 alpha (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 -1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 beta))) (sqrt.f64 (/.f64 alpha (-.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 -1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 beta))) (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 beta))) 2) (cbrt.f64 (/.f64 alpha (-.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 beta 2)) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 -2 beta))) (/.f64 alpha (sqrt.f64 (-.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2)) (/.f64 alpha (cbrt.f64 (-.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (-.f64 4 (*.f64 beta beta))) (+.f64 -2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (-.f64 -8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (-.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (-.f64 -2 beta))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (-.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2)) (cbrt.f64 (/.f64 alpha (-.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (-.f64 -2 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 beta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 beta))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -2 beta) alpha) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 alpha (-.f64 -2 beta)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 alpha (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 alpha (-.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (-.f64 -2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 alpha (-.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 alpha (-.f64 -2 beta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 alpha (-.f64 -2 beta)))))))) |
| 1× | egg-herbie |
| 916× | times-frac |
| 892× | associate-/l* |
| 812× | associate-/r* |
| 766× | *-commutative |
| 662× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 569 | 15520 |
| 1 | 1848 | 13268 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 beta)) 1)) alpha) |
(+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))))) (*.f64 -1 (/.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 beta)) 1)) (+.f64 beta 2))))) (/.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 beta)) 1)) alpha)) |
(+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))))) (*.f64 -1 (/.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 beta)) 1)) (+.f64 beta 2))))) (+.f64 (/.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 beta)) 1)) alpha) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 beta)) 1)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 beta (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2)))) (+.f64 beta 2)))) alpha)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (-.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 beta)) 1)) (pow.f64 (+.f64 beta 2) 3)))))) (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))))) (*.f64 -1 (/.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 beta)) 1)) (+.f64 beta 2))))) (+.f64 (/.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 beta)) 1)) alpha) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 beta)) 1)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 beta (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2)))) (+.f64 beta 2)))) alpha))))) |
(/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (+.f64 beta 2))) alpha) |
(-.f64 (+.f64 (/.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 1) (+.f64 beta 2))) (pow.f64 alpha 2)) (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (+.f64 beta 2))) alpha)) (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (/.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 1) (+.f64 beta 2))) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 1) (+.f64 beta 2))) (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (+.f64 beta 2))) alpha))) (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (/.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 1) (+.f64 beta 2))) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 1) (+.f64 beta 2))) (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 1) (+.f64 beta 2))) (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4)) (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (+.f64 beta 2))) alpha)))) (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) |
(/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (+.f64 beta 2))) alpha) |
(-.f64 (+.f64 (/.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 1) (+.f64 beta 2))) (pow.f64 alpha 2)) (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (+.f64 beta 2))) alpha)) (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (/.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 1) (+.f64 beta 2))) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 1) (+.f64 beta 2))) (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (+.f64 beta 2))) alpha))) (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (/.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 1) (+.f64 beta 2))) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 1) (+.f64 beta 2))) (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 1) (+.f64 beta 2))) (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4)) (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (+.f64 beta 2))) alpha)))) (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) |
(/.f64 2 alpha) |
(+.f64 (*.f64 -1 (*.f64 beta (-.f64 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/2 alpha) 1) (*.f64 (+.f64 2 alpha) alpha))) (*.f64 2 (/.f64 1 (*.f64 (+.f64 2 alpha) alpha)))) (/.f64 1 alpha)))) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/2 alpha) 1) (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))))) (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/2 alpha) 1) (*.f64 (+.f64 2 alpha) alpha))) (*.f64 2 (/.f64 1 (*.f64 (+.f64 2 alpha) alpha)))) (/.f64 1 alpha)))) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/2 alpha) 1) (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))))) (+.f64 2 alpha))) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/2 alpha) 1) (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))))) (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/2 alpha) 1) (*.f64 (+.f64 2 alpha) alpha))) (*.f64 2 (/.f64 1 (*.f64 (+.f64 2 alpha) alpha)))) (/.f64 1 alpha)))) (*.f64 2 (/.f64 1 alpha))))) |
(/.f64 beta alpha) |
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) alpha)) (+.f64 (/.f64 beta alpha) (*.f64 4 (/.f64 1 alpha))))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) alpha)) 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) alpha)) (+.f64 2 (*.f64 4 (/.f64 1 alpha)))) (+.f64 2 alpha)))) beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) alpha)) (+.f64 2 (+.f64 (/.f64 beta alpha) (*.f64 4 (/.f64 1 alpha)))))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) alpha)) 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) alpha)) (+.f64 2 (*.f64 4 (/.f64 1 alpha)))) (+.f64 2 alpha)))) beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) alpha)) (+.f64 2 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) alpha)) 2) (*.f64 -1 (*.f64 (+.f64 2 alpha) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) alpha)) (*.f64 4 (/.f64 1 alpha))))))) (+.f64 2 alpha)) (pow.f64 beta 2)) (+.f64 (/.f64 beta alpha) (*.f64 4 (/.f64 1 alpha))))))) |
(/.f64 beta alpha) |
(+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 (+.f64 2 alpha))) alpha)) (*.f64 -1 (/.f64 (+.f64 2 alpha) alpha)))) (/.f64 beta alpha)) |
(-.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 (+.f64 2 alpha))) alpha)) (*.f64 -1 (/.f64 (+.f64 2 alpha) alpha)))) (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha)))) (*.f64 2 alpha)) (*.f64 beta alpha))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 (+.f64 2 alpha))) alpha)) (*.f64 -1 (/.f64 (+.f64 2 alpha) alpha)))) beta))) |
(-.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 (+.f64 2 alpha))) alpha)) (*.f64 -1 (/.f64 (+.f64 2 alpha) alpha)))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha)))) (*.f64 2 alpha)) (*.f64 beta alpha))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 alpha) (*.f64 4 alpha)) alpha)) (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha)))) (*.f64 2 alpha)) alpha)) (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 (+.f64 2 alpha))) alpha)) (*.f64 -1 (/.f64 (+.f64 2 alpha) alpha))))))))) (pow.f64 beta 2)))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 (+.f64 2 alpha))) alpha)) (*.f64 -1 (/.f64 (+.f64 2 alpha) alpha)))) beta))) |
(*.f64 -1 (/.f64 alpha beta)) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 beta (+.f64 beta 2))))) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 beta (+.f64 beta 2))))) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 beta (+.f64 beta 2))))) |
(*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 beta (+.f64 beta 2)))) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 beta (+.f64 beta 2))))) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 beta (+.f64 beta 2))))) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 beta (+.f64 beta 2))))) |
(*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 beta (+.f64 beta 2)))) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 beta (+.f64 beta 2))))) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 beta (+.f64 beta 2))))) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 beta (+.f64 beta 2))))) |
(*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) beta)) |
(+.f64 (*.f64 -1 (-.f64 (*.f64 1/2 alpha) (*.f64 1/4 (*.f64 (+.f64 2 alpha) alpha)))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) beta))) |
(+.f64 (*.f64 -1 (-.f64 (*.f64 1/2 alpha) (*.f64 1/4 (*.f64 (+.f64 2 alpha) alpha)))) (+.f64 (*.f64 1/2 (*.f64 beta (-.f64 (*.f64 1/2 alpha) (*.f64 1/4 (*.f64 (+.f64 2 alpha) alpha))))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) beta)))) |
(+.f64 (*.f64 -1 (-.f64 (*.f64 1/2 alpha) (*.f64 1/4 (*.f64 (+.f64 2 alpha) alpha)))) (+.f64 (*.f64 1/2 (*.f64 beta (-.f64 (*.f64 1/2 alpha) (*.f64 1/4 (*.f64 (+.f64 2 alpha) alpha))))) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 1/2 alpha) (*.f64 1/4 (*.f64 (+.f64 2 alpha) alpha))))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) beta))))) |
(*.f64 -1 (/.f64 alpha beta)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 2 alpha)) (pow.f64 beta 2))) (*.f64 -1 (/.f64 alpha beta))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 2 (/.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 2 alpha)) (pow.f64 beta 3))))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 2 alpha)) (pow.f64 beta 3))) (*.f64 -4 (/.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 2 alpha)) (pow.f64 beta 4)))))) |
(*.f64 -1 (/.f64 alpha beta)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 2 alpha)) (pow.f64 beta 2))) (*.f64 -1 (/.f64 alpha beta))) |
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(*.f64 -1 (/.f64 alpha (+.f64 beta 2))) |
(*.f64 -1 (/.f64 alpha (+.f64 beta 2))) |
(*.f64 -1 (/.f64 alpha (+.f64 beta 2))) |
(*.f64 -1 (/.f64 alpha (+.f64 beta 2))) |
(*.f64 -1 (/.f64 alpha (+.f64 beta 2))) |
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(*.f64 -1 (/.f64 alpha (+.f64 beta 2))) |
(*.f64 -1 (/.f64 alpha (+.f64 beta 2))) |
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(*.f64 -1 (/.f64 alpha (+.f64 beta 2))) |
(*.f64 -1 (/.f64 alpha (+.f64 beta 2))) |
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(+.f64 (*.f64 8 (/.f64 alpha (pow.f64 beta 4))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 2 (/.f64 alpha (pow.f64 beta 2))) (*.f64 -4 (/.f64 alpha (pow.f64 beta 3)))))) |
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(pow.f64 (/.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (+.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)) (/.f64 (+.f64 alpha (+.f64 beta 2)) beta))) -1) |
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(/.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (/.f64 (-.f64 -2 beta) alpha) beta)) |
(/.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 beta (/.f64 (-.f64 -2 beta) alpha))) |
(/.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (/.f64 (-.f64 -2 beta) alpha)) |
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(/.f64 (neg.f64 alpha) (*.f64 (+.f64 beta 2) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 (neg.f64 alpha) (*.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 beta 2))) |
(/.f64 (*.f64 (/.f64 alpha (-.f64 -2 beta)) (-.f64 -2 (+.f64 alpha beta))) (neg.f64 beta)) |
(/.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (neg.f64 alpha)) (+.f64 beta 2)) |
(/.f64 (*.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (*.f64 (-.f64 -2 beta) (neg.f64 beta))) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) 1) beta) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) (sqrt.f64 beta)) (sqrt.f64 beta)) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta)) |
(/.f64 (/.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) 1) (-.f64 -2 beta)) |
(/.f64 (/.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (sqrt.f64 (-.f64 -2 beta))) (sqrt.f64 (-.f64 -2 beta))) |
(/.f64 (/.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2)) (cbrt.f64 (-.f64 -2 beta))) |
(/.f64 (*.f64 (-.f64 -2 (+.f64 alpha beta)) (/.f64 alpha (-.f64 -2 beta))) (neg.f64 beta)) |
(/.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta) alpha) (+.f64 beta 2)) |
(/.f64 (*.f64 (-.f64 -2 (+.f64 alpha beta)) alpha) (*.f64 (+.f64 beta 2) beta)) |
(/.f64 (*.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) (*.f64 (+.f64 beta 2) (neg.f64 beta))) |
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 alpha)) (*.f64 beta (+.f64 beta 2))) |
(/.f64 (*.f64 (-.f64 -2 (+.f64 alpha beta)) (neg.f64 alpha)) (*.f64 (neg.f64 beta) (+.f64 beta 2))) |
(pow.f64 (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) beta) 1) |
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) beta)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) beta)) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) beta) 3) 1/3) |
(neg.f64 (*.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) beta) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (/.f64 alpha (-.f64 -2 beta)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) beta)))) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) beta) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 alpha (-.f64 -2 beta)) 3) (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) 3) (pow.f64 (/.f64 alpha (-.f64 -2 beta)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) beta))) |
(exp.f64 (log.f64 (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) beta))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) beta)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) beta))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 beta)))) 1) |
(*.f64 alpha (/.f64 -1 (+.f64 beta 2))) |
(*.f64 (/.f64 alpha (-.f64 -2 beta)) 1) |
(*.f64 1 (/.f64 alpha (-.f64 -2 beta))) |
(*.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 -1 (+.f64 beta 2)))) |
(*.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 beta))) (sqrt.f64 (/.f64 alpha (-.f64 -2 beta)))) |
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 -1 (+.f64 beta 2)))) |
(*.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 beta))) (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 beta))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 beta))) 2) (cbrt.f64 (/.f64 alpha (-.f64 -2 beta)))) |
(*.f64 (/.f64 -1 (+.f64 beta 2)) alpha) |
(*.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta 2))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -2 beta))) (/.f64 alpha (sqrt.f64 (-.f64 -2 beta)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2)) (/.f64 alpha (cbrt.f64 (-.f64 -2 beta)))) |
(*.f64 (/.f64 alpha (-.f64 4 (*.f64 beta beta))) (+.f64 -2 beta)) |
(*.f64 (/.f64 alpha (-.f64 -8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 -2 beta)))) |
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (-.f64 -2 beta))) |
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (-.f64 -2 beta)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (-.f64 -2 beta))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (-.f64 -2 beta))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (-.f64 -2 beta)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2)) (cbrt.f64 (/.f64 alpha (-.f64 -2 beta)))) |
(pow.f64 (/.f64 alpha (-.f64 -2 beta)) 1) |
(pow.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 beta))) 2) |
(pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 beta))) 3) |
(pow.f64 (/.f64 (-.f64 -2 beta) alpha) -1) |
(pow.f64 (pow.f64 (/.f64 alpha (-.f64 -2 beta)) 3) 1/3) |
(neg.f64 (/.f64 alpha (+.f64 beta 2))) |
(sqrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 beta)) 2)) |
(log.f64 (exp.f64 (/.f64 alpha (-.f64 -2 beta)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (-.f64 -2 beta))))) |
(cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 beta)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 beta)))) |
(exp.f64 (log.f64 (/.f64 alpha (-.f64 -2 beta)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (-.f64 -2 beta))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 alpha (-.f64 -2 beta)))) |
| Outputs |
|---|
(/.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 beta)) 1)) alpha) |
(/.f64 beta (/.f64 alpha (+.f64 1 (/.f64 2 beta)))) |
(/.f64 (+.f64 beta 2) alpha) |
(+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))))) (*.f64 -1 (/.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 beta)) 1)) (+.f64 beta 2))))) (/.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 beta)) 1)) alpha)) |
(fma.f64 -1 (*.f64 -1 (-.f64 (*.f64 beta (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2)))) (/.f64 beta (/.f64 (+.f64 beta 2) (+.f64 1 (/.f64 2 beta)))))) (/.f64 beta (/.f64 alpha (+.f64 1 (/.f64 2 beta))))) |
(-.f64 (/.f64 (+.f64 beta 2) alpha) (fma.f64 -1 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (/.f64 (+.f64 beta 2) (+.f64 beta 2)))) |
(+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))))) (*.f64 -1 (/.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 beta)) 1)) (+.f64 beta 2))))) (+.f64 (/.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 beta)) 1)) alpha) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 beta)) 1)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 beta (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2)))) (+.f64 beta 2)))) alpha)))) |
(+.f64 (fma.f64 -1 (*.f64 -1 (-.f64 (*.f64 beta (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2)))) (/.f64 beta (/.f64 (+.f64 beta 2) (+.f64 1 (/.f64 2 beta)))))) (/.f64 beta (/.f64 alpha (+.f64 1 (/.f64 2 beta))))) (neg.f64 (*.f64 alpha (*.f64 -1 (-.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 1 (/.f64 2 beta)))) (/.f64 (*.f64 beta (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2)))) (+.f64 beta 2))))))) |
(-.f64 (-.f64 (/.f64 (+.f64 beta 2) alpha) (fma.f64 -1 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (/.f64 (+.f64 beta 2) (+.f64 beta 2)))) (*.f64 alpha (+.f64 (/.f64 (-.f64 -2 beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 beta 2))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (-.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 beta)) 1)) (pow.f64 (+.f64 beta 2) 3)))))) (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))))) (*.f64 -1 (/.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 beta)) 1)) (+.f64 beta 2))))) (+.f64 (/.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 beta)) 1)) alpha) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 beta)) 1)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 beta (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2)))) (+.f64 beta 2)))) alpha))))) |
(fma.f64 -1 (*.f64 (*.f64 alpha alpha) (*.f64 -1 (-.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))))) (/.f64 (*.f64 beta (+.f64 1 (/.f64 2 beta))) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (fma.f64 -1 (*.f64 -1 (-.f64 (*.f64 beta (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2)))) (/.f64 beta (/.f64 (+.f64 beta 2) (+.f64 1 (/.f64 2 beta)))))) (/.f64 beta (/.f64 alpha (+.f64 1 (/.f64 2 beta))))) (neg.f64 (*.f64 alpha (*.f64 -1 (-.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 1 (/.f64 2 beta)))) (/.f64 (*.f64 beta (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2)))) (+.f64 beta 2)))))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (+.f64 beta 2) alpha) (fma.f64 -1 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (/.f64 (+.f64 beta 2) (+.f64 beta 2)))) (*.f64 alpha (+.f64 (/.f64 (-.f64 -2 beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 beta 2))))) (*.f64 alpha (*.f64 alpha (fma.f64 -1 (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 3)))))) |
(/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (+.f64 beta 2))) alpha) |
(/.f64 (*.f64 beta (*.f64 (+.f64 beta 2) (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))))) alpha) |
(/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (/.f64 alpha (+.f64 beta 2))) |
(-.f64 (+.f64 (/.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 1) (+.f64 beta 2))) (pow.f64 alpha 2)) (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (+.f64 beta 2))) alpha)) (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (/.f64 (*.f64 beta (*.f64 (+.f64 beta 2) (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))))) alpha) (/.f64 beta (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 1 (/.f64 2 beta)) (+.f64 beta 2))))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (-.f64 (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (/.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))) |
(-.f64 (+.f64 (/.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 1) (+.f64 beta 2))) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 1) (+.f64 beta 2))) (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (+.f64 beta 2))) alpha))) (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) |
(+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 1 (/.f64 2 beta)) (+.f64 beta 2)))) (-.f64 (fma.f64 -1 (/.f64 (*.f64 beta (-.f64 (*.f64 (+.f64 1 (/.f64 2 beta)) (+.f64 beta 2)) (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (/.f64 (*.f64 beta (*.f64 (+.f64 beta 2) (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))))) alpha)) (/.f64 beta (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (/.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 (*.f64 (-.f64 -2 beta) (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3)) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))))) |
(-.f64 (+.f64 (/.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 1) (+.f64 beta 2))) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 1) (+.f64 beta 2))) (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 1) (+.f64 beta 2))) (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4)) (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (+.f64 beta 2))) alpha)))) (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 1 (/.f64 2 beta)) (+.f64 beta 2)))) (fma.f64 -1 (/.f64 (*.f64 beta (-.f64 (*.f64 (+.f64 1 (/.f64 2 beta)) (+.f64 beta 2)) (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (+.f64 (/.f64 (*.f64 beta (*.f64 (+.f64 beta 2) (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))))) alpha) (/.f64 (*.f64 beta (-.f64 (*.f64 (+.f64 1 (/.f64 2 beta)) (+.f64 beta 2)) (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 2)))))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 (+.f64 (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (/.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 2)))) (-.f64 (/.f64 (*.f64 (-.f64 -2 beta) (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3)) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))))) |
(/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (+.f64 beta 2))) alpha) |
(/.f64 (*.f64 beta (*.f64 (+.f64 beta 2) (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))))) alpha) |
(/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (/.f64 alpha (+.f64 beta 2))) |
(-.f64 (+.f64 (/.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 1) (+.f64 beta 2))) (pow.f64 alpha 2)) (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (+.f64 beta 2))) alpha)) (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (/.f64 (*.f64 beta (*.f64 (+.f64 beta 2) (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))))) alpha) (/.f64 beta (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 1 (/.f64 2 beta)) (+.f64 beta 2))))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (-.f64 (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (/.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))) |
(-.f64 (+.f64 (/.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 1) (+.f64 beta 2))) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 2 (/.f64 1 beta)) 1) (+.f64 beta 2))) (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (+.f64 beta 2))) alpha))) (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) |
(+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 1 (/.f64 2 beta)) (+.f64 beta 2)))) (-.f64 (fma.f64 -1 (/.f64 (*.f64 beta (-.f64 (*.f64 (+.f64 1 (/.f64 2 beta)) (+.f64 beta 2)) (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (/.f64 (*.f64 beta (*.f64 (+.f64 beta 2) (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))))) alpha)) (/.f64 beta (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))))) |
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(/.f64 2 alpha) |
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(/.f64 beta alpha) |
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(/.f64 beta alpha) |
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(*.f64 -1 (/.f64 alpha beta)) |
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(fma.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) beta) (*.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) alpha) (-.f64 -2 beta)) (*.f64 (*.f64 (/.f64 (/.f64 alpha (-.f64 -2 beta)) (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 -2 beta)) beta)) |
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(/.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 beta (/.f64 (-.f64 -2 beta) alpha))) |
(*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta))) |
(*.f64 alpha (/.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta (-.f64 -2 beta)))) |
(/.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (/.f64 (-.f64 -2 beta) alpha)) |
(*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta))) |
(*.f64 alpha (/.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta (-.f64 -2 beta)))) |
(/.f64 1 (/.f64 beta (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)))) |
(*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta))) |
(*.f64 alpha (/.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta (-.f64 -2 beta)))) |
(/.f64 1 (/.f64 (-.f64 -2 beta) (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)))) |
(*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta))) |
(*.f64 alpha (/.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta (-.f64 -2 beta)))) |
(/.f64 1 (/.f64 (*.f64 beta (-.f64 -2 beta)) (*.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta))) |
(*.f64 alpha (/.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta (-.f64 -2 beta)))) |
(/.f64 1 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta))) |
(*.f64 alpha (/.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta (-.f64 -2 beta)))) |
(/.f64 1 (*.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 -2 beta) alpha))) |
(*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta))) |
(*.f64 alpha (/.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta (-.f64 -2 beta)))) |
(/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) beta) |
(*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta))) |
(*.f64 alpha (/.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta (-.f64 -2 beta)))) |
(/.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (-.f64 -2 beta)) |
(*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta))) |
(*.f64 alpha (/.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta (-.f64 -2 beta)))) |
(/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 beta (-.f64 -2 beta))) |
(*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta))) |
(*.f64 alpha (/.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta (-.f64 -2 beta)))) |
(/.f64 (-.f64 -2 (+.f64 alpha beta)) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (neg.f64 beta))) |
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (neg.f64 beta))) |
(*.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (-.f64 (-.f64 -2 alpha) beta) (neg.f64 beta))) |
(/.f64 (-.f64 -2 (+.f64 alpha beta)) (*.f64 (neg.f64 beta) (/.f64 (-.f64 -2 beta) alpha))) |
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (neg.f64 beta))) |
(*.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (-.f64 (-.f64 -2 alpha) beta) (neg.f64 beta))) |
(/.f64 (neg.f64 alpha) (*.f64 (+.f64 beta 2) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 (neg.f64 alpha) (/.f64 (*.f64 beta (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 2))) |
(/.f64 (neg.f64 alpha) (*.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 beta 2))) |
(/.f64 (neg.f64 alpha) (/.f64 (*.f64 beta (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 2))) |
(/.f64 (*.f64 (/.f64 alpha (-.f64 -2 beta)) (-.f64 -2 (+.f64 alpha beta))) (neg.f64 beta)) |
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (neg.f64 beta))) |
(*.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (-.f64 (-.f64 -2 alpha) beta) (neg.f64 beta))) |
(/.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (neg.f64 alpha)) (+.f64 beta 2)) |
(/.f64 (neg.f64 alpha) (/.f64 (*.f64 beta (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 2))) |
(/.f64 (*.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (*.f64 (-.f64 -2 beta) (neg.f64 beta))) |
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (neg.f64 beta))) |
(*.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (-.f64 (-.f64 -2 alpha) beta) (neg.f64 beta))) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) 1) beta) |
(*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta))) |
(*.f64 alpha (/.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta (-.f64 -2 beta)))) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) (sqrt.f64 beta)) (sqrt.f64 beta)) |
(/.f64 (/.f64 alpha (/.f64 (-.f64 -2 beta) (+.f64 alpha (+.f64 beta 2)))) (*.f64 (sqrt.f64 beta) (sqrt.f64 beta))) |
(/.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (-.f64 -2 beta)) alpha) (*.f64 (sqrt.f64 beta) (sqrt.f64 beta))) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta)) |
(/.f64 (/.f64 alpha (/.f64 (-.f64 -2 beta) (+.f64 alpha (+.f64 beta 2)))) (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2))) |
(/.f64 alpha (*.f64 (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 alpha))))) |
(/.f64 (/.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) 1) (-.f64 -2 beta)) |
(*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta))) |
(*.f64 alpha (/.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta (-.f64 -2 beta)))) |
(/.f64 (/.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (sqrt.f64 (-.f64 -2 beta))) (sqrt.f64 (-.f64 -2 beta))) |
(/.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (*.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 (-.f64 -2 beta)))) |
(/.f64 (*.f64 (/.f64 alpha beta) (+.f64 beta (+.f64 2 alpha))) (*.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 (-.f64 -2 beta)))) |
(/.f64 (/.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2)) (cbrt.f64 (-.f64 -2 beta))) |
(/.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (*.f64 (cbrt.f64 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2))) |
(*.f64 (/.f64 alpha (cbrt.f64 (-.f64 -2 beta))) (/.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) beta) (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2))) |
(/.f64 (*.f64 (-.f64 -2 (+.f64 alpha beta)) (/.f64 alpha (-.f64 -2 beta))) (neg.f64 beta)) |
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (neg.f64 beta))) |
(*.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (-.f64 (-.f64 -2 alpha) beta) (neg.f64 beta))) |
(/.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta) alpha) (+.f64 beta 2)) |
(/.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) beta) (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 (/.f64 alpha beta) (/.f64 (-.f64 (-.f64 -2 alpha) beta) (+.f64 beta 2))) |
(/.f64 (*.f64 (-.f64 -2 (+.f64 alpha beta)) alpha) (*.f64 (+.f64 beta 2) beta)) |
(/.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) beta) (/.f64 (+.f64 beta 2) alpha)) |
(*.f64 (/.f64 alpha beta) (/.f64 (-.f64 (-.f64 -2 alpha) beta) (+.f64 beta 2))) |
(/.f64 (*.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) (*.f64 (+.f64 beta 2) (neg.f64 beta))) |
(*.f64 (/.f64 (neg.f64 alpha) (+.f64 beta 2)) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 beta))) |
(*.f64 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (*.f64 beta (-.f64 -2 beta))) (neg.f64 alpha)) |
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 alpha)) (*.f64 beta (+.f64 beta 2))) |
(/.f64 (neg.f64 alpha) (/.f64 (*.f64 beta (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 2))) |
(/.f64 (*.f64 (-.f64 -2 (+.f64 alpha beta)) (neg.f64 alpha)) (*.f64 (neg.f64 beta) (+.f64 beta 2))) |
(*.f64 (/.f64 (neg.f64 alpha) (+.f64 beta 2)) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 beta))) |
(*.f64 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (*.f64 beta (-.f64 -2 beta))) (neg.f64 alpha)) |
(pow.f64 (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) beta) 1) |
(*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta))) |
(*.f64 alpha (/.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta (-.f64 -2 beta)))) |
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) beta)) 2) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta)))) 2) |
(pow.f64 (sqrt.f64 (*.f64 alpha (/.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta (-.f64 -2 beta))))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) beta)) 3) |
(*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta))) |
(*.f64 alpha (/.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta (-.f64 -2 beta)))) |
(pow.f64 (pow.f64 (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) beta) 3) 1/3) |
(*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta))) |
(*.f64 alpha (/.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta (-.f64 -2 beta)))) |
(neg.f64 (*.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta))) |
(*.f64 (/.f64 (neg.f64 alpha) (+.f64 beta 2)) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 beta))) |
(*.f64 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (*.f64 beta (-.f64 -2 beta))) (neg.f64 alpha)) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) beta) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta))) 2)) |
(sqrt.f64 (pow.f64 (*.f64 alpha (/.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta (-.f64 -2 beta)))) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta)) (/.f64 alpha (-.f64 -2 beta)))) |
(*.f64 (/.f64 alpha (-.f64 -2 beta)) (log.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) beta)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) beta)))) |
(*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta))) |
(*.f64 alpha (/.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta (-.f64 -2 beta)))) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) beta) 3)) |
(*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta))) |
(*.f64 alpha (/.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta (-.f64 -2 beta)))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 alpha (-.f64 -2 beta)) 3) (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 alpha (-.f64 -2 beta)) 3) (pow.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) beta) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) 3) (pow.f64 (/.f64 alpha (-.f64 -2 beta)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 alpha (-.f64 -2 beta)) 3) (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 alpha (-.f64 -2 beta)) 3) (pow.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) beta) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) beta))) |
(*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta))) |
(*.f64 alpha (/.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta (-.f64 -2 beta)))) |
(exp.f64 (log.f64 (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) beta))) |
(*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta))) |
(*.f64 alpha (/.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta (-.f64 -2 beta)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) beta)) 1)) |
(*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta))) |
(*.f64 alpha (/.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta (-.f64 -2 beta)))) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)) beta))) |
(*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta))) |
(*.f64 alpha (/.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta (-.f64 -2 beta)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 beta)))) 1) |
(/.f64 alpha (-.f64 -2 beta)) |
(*.f64 alpha (/.f64 -1 (+.f64 beta 2))) |
(/.f64 (neg.f64 alpha) (+.f64 beta 2)) |
(*.f64 (/.f64 alpha (-.f64 -2 beta)) 1) |
(/.f64 alpha (-.f64 -2 beta)) |
(*.f64 1 (/.f64 alpha (-.f64 -2 beta))) |
(/.f64 alpha (-.f64 -2 beta)) |
(*.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 -1 (+.f64 beta 2)))) |
(*.f64 (sqrt.f64 alpha) (*.f64 (/.f64 -1 (+.f64 beta 2)) (sqrt.f64 alpha))) |
(*.f64 (/.f64 -1 (+.f64 beta 2)) (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha))) |
(*.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 beta))) (sqrt.f64 (/.f64 alpha (-.f64 -2 beta)))) |
(/.f64 alpha (-.f64 -2 beta)) |
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 -1 (+.f64 beta 2)))) |
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (/.f64 -1 (+.f64 beta 2)) (cbrt.f64 alpha))) |
(/.f64 (*.f64 (*.f64 -1 (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) (+.f64 beta 2)) |
(*.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 beta))) (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 beta))) 2)) |
(/.f64 alpha (-.f64 -2 beta)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 beta))) 2) (cbrt.f64 (/.f64 alpha (-.f64 -2 beta)))) |
(/.f64 alpha (-.f64 -2 beta)) |
(*.f64 (/.f64 -1 (+.f64 beta 2)) alpha) |
(/.f64 (neg.f64 alpha) (+.f64 beta 2)) |
(*.f64 (neg.f64 alpha) (/.f64 1 (+.f64 beta 2))) |
(/.f64 (neg.f64 alpha) (+.f64 beta 2)) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -2 beta))) (/.f64 alpha (sqrt.f64 (-.f64 -2 beta)))) |
(/.f64 (/.f64 alpha (sqrt.f64 (-.f64 -2 beta))) (sqrt.f64 (-.f64 -2 beta))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2)) (/.f64 alpha (cbrt.f64 (-.f64 -2 beta)))) |
(/.f64 (/.f64 alpha (cbrt.f64 (-.f64 -2 beta))) (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2)) |
(*.f64 (/.f64 alpha (-.f64 4 (*.f64 beta beta))) (+.f64 -2 beta)) |
(*.f64 (/.f64 alpha (-.f64 4 (*.f64 beta beta))) (+.f64 beta -2)) |
(*.f64 (/.f64 alpha (-.f64 -8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 -2 beta)))) |
(*.f64 (/.f64 alpha (-.f64 -8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) |
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (-.f64 -2 beta))) |
(*.f64 (sqrt.f64 alpha) (/.f64 (sqrt.f64 alpha) (-.f64 -2 beta))) |
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (-.f64 -2 beta)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (-.f64 -2 beta))) |
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 (cbrt.f64 alpha) (-.f64 -2 beta))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (-.f64 -2 beta))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (-.f64 -2 beta)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2)) (cbrt.f64 (/.f64 alpha (-.f64 -2 beta)))) |
(*.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 beta))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (/.f64 alpha (-.f64 -2 beta))))) |
(pow.f64 (/.f64 alpha (-.f64 -2 beta)) 1) |
(/.f64 alpha (-.f64 -2 beta)) |
(pow.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 beta))) 2) |
(/.f64 alpha (-.f64 -2 beta)) |
(pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 beta))) 3) |
(/.f64 alpha (-.f64 -2 beta)) |
(pow.f64 (/.f64 (-.f64 -2 beta) alpha) -1) |
(/.f64 alpha (-.f64 -2 beta)) |
(pow.f64 (pow.f64 (/.f64 alpha (-.f64 -2 beta)) 3) 1/3) |
(/.f64 alpha (-.f64 -2 beta)) |
(neg.f64 (/.f64 alpha (+.f64 beta 2))) |
(/.f64 (neg.f64 alpha) (+.f64 beta 2)) |
(sqrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 beta)) 2)) |
(log.f64 (exp.f64 (/.f64 alpha (-.f64 -2 beta)))) |
(/.f64 alpha (-.f64 -2 beta)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (-.f64 -2 beta))))) |
(/.f64 alpha (-.f64 -2 beta)) |
(cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 beta)) 3)) |
(/.f64 alpha (-.f64 -2 beta)) |
(expm1.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 beta)))) |
(/.f64 alpha (-.f64 -2 beta)) |
(exp.f64 (log.f64 (/.f64 alpha (-.f64 -2 beta)))) |
(/.f64 alpha (-.f64 -2 beta)) |
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (-.f64 -2 beta))) 1)) |
(/.f64 alpha (-.f64 -2 beta)) |
(log1p.f64 (expm1.f64 (/.f64 alpha (-.f64 -2 beta)))) |
(/.f64 alpha (-.f64 -2 beta)) |
Compiled 54595 to 35184 computations (35.6% saved)
17 alts after pruning (8 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1618 | 6 | 1624 |
| Fresh | 7 | 2 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 4 | 9 | 13 |
| Total | 1630 | 17 | 1647 |
| Status | Error | Program |
|---|---|---|
| 18.6b | (/.f64 (/.f64 (-.f64 alpha (/.f64 (-.f64 -2 beta) (/.f64 beta alpha))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha)) 2) | |
| 50.2b | (/.f64 (/.f64 (+.f64 beta 2) alpha) 2) | |
| ✓ | 47.4b | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
| ✓ | 61.2b | (/.f64 (/.f64 beta alpha) 2) |
| ✓ | 50.3b | (/.f64 (/.f64 2 alpha) 2) |
| ✓ | 13.8b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| 51.4b | (/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) | |
| ✓ | 32.3b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| 34.2b | (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) | |
| ✓ | 14.2b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
| 58.7b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 2) | |
| ✓ | 16.0b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| ✓ | 35.9b | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| 53.5b | (/.f64 (*.f64 (/.f64 beta alpha) (+.f64 2 (/.f64 2 beta))) 2) | |
| 58.7b | (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) | |
| ✓ | 37.4b | (/.f64 2 2) |
| 33.3b | (/.f64 1 2) |
Compiled 193 to 149 computations (22.8% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (/.f64 beta 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 (+.f64 beta 2) alpha) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
(/.f64 (*.f64 (/.f64 beta alpha) (+.f64 2 (/.f64 2 beta))) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 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 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
(/.f64 (-.f64 (*.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) beta) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
(/.f64 (/.f64 (-.f64 alpha (/.f64 (-.f64 -2 beta) (/.f64 beta alpha))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha)) 2) |
(/.f64 (-.f64 (-.f64 (/.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta alpha))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
(/.f64 (/.f64 (+.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 beta alpha))) 2) |
(/.f64 (/.f64 (-.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (-.f64 -2 beta))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (-.f64 4 (*.f64 beta beta)) alpha) (/.f64 (-.f64 4 (*.f64 beta beta)) (-.f64 -2 beta)))) 2) |
(/.f64 (*.f64 (/.f64 (+.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)) (*.f64 (/.f64 alpha (-.f64 -2 beta)) (+.f64 alpha (+.f64 beta 2)))) beta) 2) |
(/.f64 (/.f64 (-.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta)) (*.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta))) 2) |
(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2) |
(/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2) |
(/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 beta alpha)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2) |
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha))) 2) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 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 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha))) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) 2) |
(/.f64 (+.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))))) 2) |
| Outputs |
|---|
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha))) 2) |
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2) |
5 calls:
| 123.0ms | beta |
| 87.0ms | alpha |
| 37.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 13.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 11.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| Error | Segments | Branch |
|---|---|---|
| 1.5b | 3 | alpha |
| 10.1b | 4 | beta |
| 0.1b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.1b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.1b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 768 to 496 computations (35.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999977093236676 | -0.9764815253438713 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (/.f64 beta 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 (+.f64 beta 2) alpha) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
(/.f64 (*.f64 (/.f64 beta alpha) (+.f64 2 (/.f64 2 beta))) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 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 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
(/.f64 (-.f64 (*.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) beta) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
(/.f64 (/.f64 (-.f64 alpha (/.f64 (-.f64 -2 beta) (/.f64 beta alpha))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha)) 2) |
(/.f64 (-.f64 (-.f64 (/.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta alpha))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
(/.f64 (/.f64 (+.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 beta alpha))) 2) |
(/.f64 (/.f64 (-.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (-.f64 -2 beta))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (-.f64 4 (*.f64 beta beta)) alpha) (/.f64 (-.f64 4 (*.f64 beta beta)) (-.f64 -2 beta)))) 2) |
(/.f64 (*.f64 (/.f64 (+.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)) (*.f64 (/.f64 alpha (-.f64 -2 beta)) (+.f64 alpha (+.f64 beta 2)))) beta) 2) |
(/.f64 (/.f64 (-.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta)) (*.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta))) 2) |
(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2) |
(/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2) |
(/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 beta alpha)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2) |
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2) |
| Outputs |
|---|
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
5 calls:
| 107.0ms | beta |
| 55.0ms | alpha |
| 17.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 8.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 8.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| Error | Segments | Branch |
|---|---|---|
| 1.5b | 3 | alpha |
| 10.1b | 4 | 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 553 to 354 computations (36% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999996819804 | -0.9999977093236676 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (/.f64 beta 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 (+.f64 beta 2) alpha) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
(/.f64 (*.f64 (/.f64 beta alpha) (+.f64 2 (/.f64 2 beta))) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 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 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) |
| Outputs |
|---|
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
5 calls:
| 25.0ms | beta |
| 17.0ms | alpha |
| 12.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 8.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 5.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| Error | Segments | Branch |
|---|---|---|
| 2.6b | 2 | alpha |
| 13.0b | 3 | 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 213 to 151 computations (29.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999996819804 | -0.9999977093236676 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (/.f64 beta 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 (+.f64 beta 2) alpha) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
(/.f64 (*.f64 (/.f64 beta alpha) (+.f64 2 (/.f64 2 beta))) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 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 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 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:
| 74.0ms | beta |
| 17.0ms | alpha |
| 12.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 6.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 5.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| Error | Segments | Branch |
|---|---|---|
| 2.6b | 2 | alpha |
| 13.0b | 3 | 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 198 to 141 computations (28.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999996819804 | -0.9999977093236676 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (/.f64 beta 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 (+.f64 beta 2) alpha) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
(/.f64 (*.f64 (/.f64 beta alpha) (+.f64 2 (/.f64 2 beta))) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha)) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
2 calls:
| 28.0ms | beta |
| 15.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 4.0b | 2 | alpha |
| 13.4b | 4 | beta |
Compiled 119 to 88 computations (26.1% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 45.0ms | 204894.63896612095 | 588646432860.442 |
| 43.0ms | 144× | body | 256 | valid |
Compiled 236 to 195 computations (17.4% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (/.f64 beta 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 (+.f64 beta 2) alpha) 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 (+.f64 beta 2) alpha) 2) |
2 calls:
| 23.0ms | beta |
| 11.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 6.8b | 2 | alpha |
| 13.4b | 4 | beta |
Compiled 75 to 59 computations (21.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 204894.63896612095 | 588646432860.442 |
| 17.0ms | 144× | body | 256 | valid |
Compiled 218 to 177 computations (18.8% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (/.f64 beta 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 (+.f64 beta 2) alpha) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 2 2) |
2 calls:
| 24.0ms | beta |
| 20.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 20.6b | 4 | alpha |
| 15.0b | 4 | beta |
Compiled 57 to 45 computations (21.1% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 3.400633982856209e-8 | 6691.281648847649 |
| 21.0ms | -9.537766084022049e-122 | -1.4510036002564935e-123 |
| 19.0ms | -4.666376492431491e-44 | -1.5367699036857747e-47 |
| 41.0ms | 313× | body | 256 | valid |
| 15.0ms | 53× | body | 1024 | valid |
| 5.0ms | 27× | body | 512 | valid |
| 2.0ms | 7× | body | 2048 | valid |
Compiled 450 to 405 computations (10% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (/.f64 beta alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
| Outputs |
|---|
(/.f64 1 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 1 2) |
(/.f64 2 2) |
2 calls:
| 39.0ms | beta |
| 17.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 21.3b | 4 | alpha |
| 15.3b | 4 | beta |
Compiled 36 to 28 computations (22.2% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 3.400633982856209e-8 | 6691.281648847649 |
| 18.0ms | -9.537766084022049e-122 | -1.4510036002564935e-123 |
| 18.0ms | -4.666376492431491e-44 | -1.5367699036857747e-47 |
| 35.0ms | 310× | body | 256 | valid |
| 14.0ms | 53× | body | 1024 | valid |
| 5.0ms | 31× | body | 512 | valid |
| 2.0ms | 6× | body | 2048 | valid |
Compiled 350 to 330 computations (5.7% saved)
Total -45.2b remaining (-270.1%)
Threshold costs -45.2b (-270.1%)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
| Outputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
2 calls:
| 12.0ms | alpha |
| 6.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 29.9b | 4 | alpha |
| 16.7b | 2 | beta |
Compiled 19 to 17 computations (10.5% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 62.0ms | 3.400633982856209e-8 | 6691.281648847649 |
| 46.0ms | 28× | body | 1024 | valid |
| 12.0ms | 123× | body | 256 | valid |
| 2.0ms | 9× | body | 512 | valid |
Compiled 140 to 135 computations (3.6% saved)
| 1× | egg-herbie |
| 108× | +-commutative |
| 102× | *-commutative |
| 66× | neg-sub0 |
| 58× | sub-neg |
| 56× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 730 |
| 1 | 109 | 730 |
| 2 | 138 | 730 |
| 3 | 179 | 730 |
| 4 | 215 | 730 |
| 5 | 249 | 730 |
| 6 | 296 | 730 |
| 7 | 348 | 730 |
| 8 | 389 | 730 |
| 9 | 414 | 730 |
| 10 | 423 | 730 |
| 11 | 425 | 730 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -2206763817411543/2251799813685248) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) 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)) -9007181240342483/9007199254740992) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007181240342483/9007199254740992) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.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 (+.f64 alpha beta) 2)) -9007181240342483/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)) |
(if (<=.f64 alpha 200000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)) |
(if (<=.f64 alpha 1200000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2)) |
(if (<=.f64 beta -6376330159619673/411376139330301510538742295639337626245683966408394965837152256) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta -2209589721858645/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2)))) |
(if (<=.f64 beta -6376330159619673/411376139330301510538742295639337626245683966408394965837152256) (/.f64 1 2) (if (<=.f64 beta -2209589721858645/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2)))) |
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2)) |
(/.f64 1 2) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -2206763817411543/2251799813685248) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) 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 beta alpha) 2)) -2206763817411543/2251799813685248) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) 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 beta alpha) 2)) -2206763817411543/2251799813685248) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (-.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 beta alpha) 2)) -2206763817411543/2251799813685248) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.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)) -9007181240342483/9007199254740992) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007181240342483/9007199254740992) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007181240342483/9007199254740992) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007181240342483/9007199254740992) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.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 (+.f64 beta alpha) 2)) -9007181240342483/9007199254740992) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007181240342483/9007199254740992) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007181240342483/9007199254740992) (/.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 (+.f64 beta alpha) 2)) -9007181240342483/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) |
(if (<=.f64 alpha 200000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)) |
(if (<=.f64 alpha 200000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)) |
(if (<=.f64 alpha 1200000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2)) |
(if (<=.f64 alpha 1200000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2)) |
(if (<=.f64 beta -6376330159619673/411376139330301510538742295639337626245683966408394965837152256) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta -2209589721858645/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2)))) |
(if (<=.f64 beta -6376330159619673/411376139330301510538742295639337626245683966408394965837152256) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta -2209589721858645/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) 1))) |
(if (<=.f64 beta -6376330159619673/411376139330301510538742295639337626245683966408394965837152256) (/.f64 1 2) (if (<=.f64 beta -2209589721858645/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2)))) |
(if (<=.f64 beta -6376330159619673/411376139330301510538742295639337626245683966408394965837152256) 1/2 (if (<=.f64 beta -2209589721858645/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) 1/2 1))) |
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2)) |
(if (<=.f64 beta 2) 1/2 1) |
(/.f64 1 2) |
1/2 |
Compiled 292 to 212 computations (27.4% saved)
| 2× | egg-herbie |
| 982× | associate-/l* |
| 828× | associate-+l- |
| 722× | fma-def |
| 710× | distribute-lft-in |
| 708× | 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 |
| 0 | 596 | 12924 |
| 1 | 1805 | 12488 |
| 2 | 7115 | 12478 |
| 1× | node limit |
| 1× | node limit |
Compiled 160 to 115 computations (28.1% saved)
Compiled 274 to 188 computations (31.4% saved)
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