Time bar (total: 19.9s)
| 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)
| 2.0s | 6498× | body | 256 | valid |
| 522.0ms | 1039× | body | 1024 | valid |
| 276.0ms | 620× | body | 512 | valid |
| 67.0ms | 99× | 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 |
|---|---|---|
| ▶ | 77.3% | (/.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 |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) |
| ✓ | 96.5% | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
Compiled 50 to 23 computations (54% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | beta | @ | -inf | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
| 1.0ms | alpha | @ | 0 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
| 1.0ms | alpha | @ | inf | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
| 1.0ms | beta | @ | 0 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
| 1.0ms | beta | @ | 0 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) |
| 1× | batch-egg-rewrite |
| 1652× | associate-/l* |
| 1468× | associate-/r/ |
| 762× | associate-/l/ |
| 280× | +-commutative |
| 274× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 56 |
| 1 | 259 | 56 |
| 2 | 3844 | 56 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 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| 1× | egg-herbie |
| 924× | distribute-lft-in |
| 812× | distribute-rgt-in |
| 734× | *-commutative |
| 724× | +-commutative |
| 570× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 608 | 12724 |
| 1 | 2161 | 12284 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(/.f64 beta (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))) |
-1 |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2)))) 1) |
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 0) |
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1) |
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
(-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(*.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1) |
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(*.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1)) (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 3) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) |
(/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (-.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 3) 1) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1) |
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3) |
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3)) |
(expm1.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) |
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) |
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 0) |
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) |
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(+.f64 (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) |
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1) |
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) |
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1)) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2) |
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 1)) |
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) |
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (-.f64 -2 (+.f64 beta alpha)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (*.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (*.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 1 (-.f64 -2 (+.f64 beta alpha))) (neg.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (+.f64 beta (+.f64 alpha 2))) (cbrt.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (neg.f64 (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (-.f64 (-.f64 2 beta) alpha)) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (+.f64 (*.f64 beta beta) (-.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)) (*.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2))) (cbrt.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2))) |
(*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) 1) (neg.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 1) (/.f64 1 (+.f64 beta alpha))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (-.f64 beta alpha)) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta alpha) (/.f64 1 (-.f64 beta alpha)))) (-.f64 beta alpha)) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta alpha) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (-.f64 beta alpha)))) (sqrt.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta alpha) (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (-.f64 beta alpha)))) (cbrt.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (neg.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (-.f64 alpha beta)) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (neg.f64 (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))))) (-.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 alpha (+.f64 beta alpha)) 3))) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (-.f64 (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))) (*.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (sqrt.f64 (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (cbrt.f64 (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (-.f64 alpha 2))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 beta (-.f64 alpha 2)))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) |
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1) |
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3) |
(neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
| Outputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (*.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta beta))) (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) |
(fma.f64 -1 (/.f64 (*.f64 (+.f64 alpha 1) 2) beta) 2) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 (+.f64 alpha 1) 2) beta) 2) (+.f64 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) |
(-.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 (+.f64 alpha 1) 2) beta) 2) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 beta 3) alpha))) (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (fma.f64 -1 (*.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 alpha 2)) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 (neg.f64 (+.f64 (*.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 alpha 2)) (/.f64 alpha beta))) (-.f64 (+.f64 2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (/.f64 beta (+.f64 2 beta))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta)))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))))) |
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(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))) |
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))))) |
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
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(-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) |
(-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
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(+.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (neg.f64 beta) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha)))) (+.f64 (+.f64 (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) (neg.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))) |
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) |
(/.f64 (neg.f64 (fma.f64 -1 beta (-.f64 -2 beta))) alpha) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) |
(*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) |
(fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 4)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 4)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))))) |
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) |
(/.f64 (neg.f64 alpha) (+.f64 alpha 2)) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) |
(fma.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) |
(fma.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) |
(fma.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 1)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 (neg.f64 (+.f64 (*.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 alpha 2)) (/.f64 alpha beta))) (-.f64 (-.f64 1 (/.f64 2 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 (neg.f64 (+.f64 (*.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 alpha 2)) (/.f64 alpha beta))) (-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 1)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 (neg.f64 (+.f64 (*.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 alpha 2)) (/.f64 alpha beta))) (-.f64 (-.f64 1 (/.f64 2 beta)) (/.f64 alpha beta))) |
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(/.f64 beta (+.f64 beta 2)) |
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-1 |
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(-.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1)) |
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-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1) |
(fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) -1) |
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(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2) |
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2) |
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(/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (-.f64 alpha beta))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (neg.f64 (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 (+.f64 alpha 2) beta)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (neg.f64 (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 alpha (+.f64 2 beta)))) (neg.f64 (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))))) (-.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha)))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 (+.f64 alpha 2) beta)) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (-.f64 (*.f64 beta (pow.f64 beta 3)) (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha beta) 2)))) (-.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 alpha beta)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 alpha (+.f64 2 beta))) (-.f64 (pow.f64 beta 4) (*.f64 alpha (*.f64 (pow.f64 (+.f64 alpha beta) 2) alpha)))) (-.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 alpha beta)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 alpha (+.f64 beta alpha)) 3))) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (-.f64 (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))) (*.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 alpha (+.f64 alpha beta)) 3)) (/.f64 1 (+.f64 (+.f64 alpha 2) beta)))) (+.f64 (*.f64 beta (pow.f64 beta 3)) (*.f64 (*.f64 alpha (+.f64 alpha beta)) (-.f64 (*.f64 alpha (+.f64 alpha beta)) (*.f64 beta beta))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 (+.f64 (pow.f64 beta 6) (pow.f64 (*.f64 alpha (+.f64 alpha beta)) 3)) (+.f64 alpha (+.f64 2 beta)))) (+.f64 (pow.f64 beta 4) (*.f64 alpha (*.f64 (+.f64 alpha beta) (-.f64 (*.f64 alpha (+.f64 alpha beta)) (*.f64 beta beta)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (sqrt.f64 (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta)))) (sqrt.f64 (+.f64 beta (+.f64 alpha -2)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) (sqrt.f64 (+.f64 alpha (+.f64 -2 beta)))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (cbrt.f64 (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2))) (cbrt.f64 (+.f64 beta (+.f64 alpha -2)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) (cbrt.f64 (+.f64 alpha (+.f64 -2 beta)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))) (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (*.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 beta (-.f64 alpha 2)))) |
(/.f64 (*.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 beta (+.f64 alpha -2)))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) |
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (/.f64 (*.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (+.f64 -2 beta))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2))) |
(*.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) |
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) |
(/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (-.f64 alpha 2))) |
(*.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) |
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) |
(/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (*.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))))) |
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))) (/.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (*.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))))) |
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))) (/.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) |
(/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 (-.f64 -2 beta) alpha)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
Compiled 12222 to 7914 computations (35.2% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 345 | 9 | 354 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 345 | 10 | 355 |
| Status | Error | Program |
|---|---|---|
| ▶ | 49.5% | (/.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) |
| ▶ | 26.6% | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
| 50.1% | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) | |
| ✓ | 77.3% | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
| ▶ | 75.4% | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| 30.9% | (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) | |
| 3.6% | (/.f64 (+.f64 -1 1) 2) | |
| 23.1% | (/.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) | |
| ▶ | 77.3% | (/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2) |
| ▶ | 38.7% | (/.f64 2 2) |
Compiled 287 to 225 computations (21.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) |
| ✓ | 100.0% | (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
| ✓ | 96.5% | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
| ✓ | 96.5% | (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) |
Compiled 77 to 45 computations (41.6% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | beta | @ | inf | (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
| 1.0ms | alpha | @ | 0 | (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
| 1.0ms | beta | @ | 0 | (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
| 1.0ms | beta | @ | -inf | (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
| 1.0ms | alpha | @ | inf | (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
| 1× | batch-egg-rewrite |
| 1838× | associate-/r* |
| 1528× | associate-/l* |
| 324× | +-commutative |
| 316× | add-sqr-sqrt |
| 308× | *-un-lft-identity |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 122 |
| 1 | 311 | 122 |
| 2 | 4351 | 122 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) |
| Outputs |
|---|
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(2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) |
| 1× | egg-herbie |
| 904× | fma-def |
| 796× | +-commutative |
| 566× | associate-*r* |
| 542× | associate-+r+ |
| 512× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 648 | 18827 |
| 1 | 1934 | 17985 |
| 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 (*.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)))))) |
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 beta (*.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))) |
(+.f64 (*.f64 (pow.f64 beta 2) (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/2 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 beta (*.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))) |
(+.f64 (*.f64 (pow.f64 beta 2) (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/2 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 beta (*.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))) (*.f64 (pow.f64 beta 3) (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))) (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))))) |
(exp.f64 2) |
(+.f64 (exp.f64 2) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 alpha)) (exp.f64 2)) beta))) |
(+.f64 (/.f64 (*.f64 (exp.f64 2) (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 (+.f64 2 alpha) alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 2)) (+.f64 (exp.f64 2) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 alpha)) (exp.f64 2)) beta)))) |
(+.f64 (/.f64 (*.f64 (exp.f64 2) (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 (+.f64 2 alpha) alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 2)) (+.f64 (exp.f64 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 (*.f64 2 alpha)))) (*.f64 -1/6 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 3)))) (pow.f64 (+.f64 2 alpha) 3)) (exp.f64 2)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 alpha)) (exp.f64 2)) beta))))) |
(exp.f64 2) |
(+.f64 (exp.f64 2) (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (exp.f64 2)) beta)) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (exp.f64 2)) (pow.f64 beta 2)) (+.f64 (exp.f64 2) (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (exp.f64 2)) beta))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 2) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (+.f64 (*.f64 -1/6 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 3)) (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))))) (pow.f64 beta 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (exp.f64 2)) (pow.f64 beta 2)) (+.f64 (exp.f64 2) (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (exp.f64 2)) beta)))) |
(exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 -1 (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)))) |
(+.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 1/2 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2))) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2))) (*.f64 -1 (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha))))) |
(+.f64 (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 -1 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (*.f64 -1/6 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 3)))))) (+.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 1/2 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2))) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2))) (*.f64 -1 (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)))))) |
1 |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))))))) (+.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))))) |
1 |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (+.f64 (*.f64 -1 (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3))) (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 3)))) (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 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 0) |
(+.f64 0 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 1)) |
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)))) |
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta 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 (+.f64 0 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.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 (+.f64 0 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) |
(-.f64 (+.f64 0 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) 1) |
(-.f64 (+.f64 0 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) |
(-.f64 (+.f64 0 (/.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 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 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) |
(*.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 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 1 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 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 1 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (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))) 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 1 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 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 (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 1 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))) |
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(+.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 beta alpha) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)) |
(*.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 1 (+.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)))) (cbrt.f64 (pow.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))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (cbrt.f64 (pow.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 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) |
(*.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))))) |
(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 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (-.f64 (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 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 (*.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) |
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) |
(-.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))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta beta))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.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 2 (/.f64 (fma.f64 alpha 2 2) beta)) (-.f64 (-.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))) |
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 2 (/.f64 alpha beta)) (+.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 (-.f64 (-.f64 2 (/.f64 alpha beta)) (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (-.f64 (fma.f64 alpha -1 -2) alpha))) (+.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 (+.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (-.f64 (fma.f64 alpha -1 -2) alpha))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (fma.f64 alpha -1 -2) alpha)))) (+.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 beta (+.f64 2 beta)) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 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 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))))) |
(+.f64 (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 1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 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)))))) |
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))))) |
(-.f64 (+.f64 (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 1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (fma.f64 2 beta 2) 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)))) |
(fma.f64 2 (/.f64 beta alpha) (+.f64 (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (*.f64 beta (-.f64 -2 beta)) (*.f64 alpha alpha)))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (neg.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))) |
(+.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))))) (+.f64 (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (neg.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))) (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (-.f64 (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 3))) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))))) |
(*.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 beta -1 (-.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)))) |
(fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) |
(-.f64 (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (/.f64 (fma.f64 beta -1 (-.f64 -2 beta)) 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 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 (fma.f64 beta -1 (-.f64 -2 beta)) 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)))))) |
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(+.f64 (-.f64 (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (/.f64 (fma.f64 beta -1 (-.f64 -2 beta)) alpha)) (+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))) |
(-.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 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (-.f64 (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 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 (*.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) |
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) |
(-.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))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta beta))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.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)))) |
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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 2 (/.f64 alpha beta)) (+.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 (-.f64 (-.f64 2 (/.f64 alpha beta)) (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (-.f64 (fma.f64 alpha -1 -2) alpha))) (+.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 (+.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (-.f64 (fma.f64 alpha -1 -2) alpha))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (fma.f64 alpha -1 -2) alpha)))) (+.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 beta (+.f64 2 beta)) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) |
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(+.f64 (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 1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 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)))))) |
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))))) |
(-.f64 (+.f64 (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 1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (fma.f64 2 beta 2) 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)))) |
(fma.f64 2 (/.f64 beta alpha) (+.f64 (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (*.f64 beta (-.f64 -2 beta)) (*.f64 alpha alpha)))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
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(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))))) (+.f64 (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (neg.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))) (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (-.f64 (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 3))) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))))) |
(*.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 beta -1 (-.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)))) |
(fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) |
(-.f64 (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (/.f64 (fma.f64 beta -1 (-.f64 -2 beta)) 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 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (/.f64 (fma.f64 beta -1 (-.f64 -2 beta)) 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 (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (/.f64 (fma.f64 beta -1 (-.f64 -2 beta)) alpha)) (+.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))) |
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) |
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 beta (*.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))) |
(+.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (*.f64 beta (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) |
(fma.f64 beta (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(+.f64 (*.f64 (pow.f64 beta 2) (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/2 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 beta (*.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))) |
(fma.f64 (*.f64 beta beta) (*.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (*.f64 1/2 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (*.f64 beta (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) |
(+.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (*.f64 (+.f64 (*.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (fma.f64 1/2 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))))) 1) (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) |
(+.f64 (*.f64 (pow.f64 beta 2) (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/2 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 beta (*.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))) (*.f64 (pow.f64 beta 3) (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))) (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))))) |
(fma.f64 (*.f64 beta beta) (*.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (*.f64 1/2 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (fma.f64 beta (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (*.f64 (pow.f64 beta 3) (*.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (fma.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (fma.f64 1/6 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 3) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))))))) |
(+.f64 (fma.f64 beta (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (*.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 1/6 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 3) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))))) (*.f64 (+.f64 (*.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (fma.f64 1/2 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))))) 1) (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) |
(exp.f64 2) |
(+.f64 (exp.f64 2) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 alpha)) (exp.f64 2)) beta))) |
(+.f64 (exp.f64 2) (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) (/.f64 beta (exp.f64 2))))) |
(-.f64 (exp.f64 2) (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) (exp.f64 2))) |
(+.f64 (/.f64 (*.f64 (exp.f64 2) (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 (+.f64 2 alpha) alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 2)) (+.f64 (exp.f64 2) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 alpha)) (exp.f64 2)) beta)))) |
(+.f64 (+.f64 (exp.f64 2) (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) (/.f64 beta (exp.f64 2))))) (/.f64 (*.f64 (exp.f64 2) (-.f64 (fma.f64 1/2 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 alpha (+.f64 alpha 2))) (neg.f64 (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 beta beta))) |
(+.f64 (-.f64 (exp.f64 2) (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) (exp.f64 2))) (*.f64 (/.f64 (exp.f64 2) (*.f64 beta beta)) (fma.f64 1/2 (pow.f64 (fma.f64 alpha 2 2) 2) (fma.f64 alpha (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2))))) |
(+.f64 (/.f64 (*.f64 (exp.f64 2) (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 (+.f64 2 alpha) alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 2)) (+.f64 (exp.f64 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 (*.f64 2 alpha)))) (*.f64 -1/6 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 3)))) (pow.f64 (+.f64 2 alpha) 3)) (exp.f64 2)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 alpha)) (exp.f64 2)) beta))))) |
(+.f64 (/.f64 (*.f64 (exp.f64 2) (-.f64 (fma.f64 1/2 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 alpha (+.f64 alpha 2))) (neg.f64 (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 beta beta)) (+.f64 (exp.f64 2) (+.f64 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) (/.f64 beta (exp.f64 2)))) (/.f64 (-.f64 (fma.f64 -1 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -1 (*.f64 (+.f64 2 (*.f64 alpha 2)) (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 -1/6 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 3)))) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (pow.f64 beta 3) (exp.f64 2)))))) |
(+.f64 (*.f64 (/.f64 (exp.f64 2) (*.f64 beta beta)) (fma.f64 1/2 (pow.f64 (fma.f64 alpha 2 2) 2) (fma.f64 alpha (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 (-.f64 (exp.f64 2) (*.f64 (/.f64 (fma.f64 alpha 2 2) beta) (exp.f64 2))) (*.f64 (/.f64 (+.f64 (-.f64 (*.f64 -1/6 (pow.f64 (fma.f64 alpha 2 2) 3)) (*.f64 (fma.f64 alpha 2 2) (fma.f64 alpha (+.f64 alpha 2) (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (fma.f64 alpha -1 -2) alpha))) (pow.f64 beta 3)) (exp.f64 2)))) |
(exp.f64 2) |
(+.f64 (exp.f64 2) (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (exp.f64 2)) beta)) |
(+.f64 (exp.f64 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 beta (exp.f64 2)))) |
(+.f64 (exp.f64 2) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (/.f64 beta (exp.f64 2)))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (exp.f64 2)) (pow.f64 beta 2)) (+.f64 (exp.f64 2) (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (exp.f64 2)) beta))) |
(+.f64 (+.f64 (exp.f64 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 beta (exp.f64 2)))) (/.f64 (fma.f64 -1 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (*.f64 1/2 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2))) (/.f64 (*.f64 beta beta) (exp.f64 2)))) |
(+.f64 (+.f64 (exp.f64 2) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (/.f64 beta (exp.f64 2)))) (/.f64 (exp.f64 2) (/.f64 (*.f64 beta beta) (fma.f64 1/2 (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 2) (*.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (fma.f64 alpha -1 -2)))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 2) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (+.f64 (*.f64 -1/6 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 3)) (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))))) (pow.f64 beta 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (exp.f64 2)) (pow.f64 beta 2)) (+.f64 (exp.f64 2) (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (exp.f64 2)) beta)))) |
(fma.f64 -1 (/.f64 (*.f64 (exp.f64 2) (fma.f64 -1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (fma.f64 -1/6 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3) (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2))))) (pow.f64 beta 3)) (+.f64 (+.f64 (exp.f64 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 beta (exp.f64 2)))) (/.f64 (fma.f64 -1 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (*.f64 1/2 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2))) (/.f64 (*.f64 beta beta) (exp.f64 2))))) |
(-.f64 (+.f64 (+.f64 (exp.f64 2) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (/.f64 beta (exp.f64 2)))) (/.f64 (exp.f64 2) (/.f64 (*.f64 beta beta) (fma.f64 1/2 (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 2) (*.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (fma.f64 alpha -1 -2)))))) (*.f64 (/.f64 (exp.f64 2) (pow.f64 beta 3)) (-.f64 (fma.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 2) (*.f64 -1/6 (pow.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) 3))) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (fma.f64 alpha -1 -2) alpha))))) |
(exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) |
(+.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 -1 (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)))) |
(+.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (neg.f64 (*.f64 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))))))) |
(-.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (*.f64 alpha (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))))))) |
(+.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 1/2 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2))) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2))) (*.f64 -1 (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha))))) |
(+.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (fma.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (*.f64 (*.f64 alpha alpha) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 1/2 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))) (neg.f64 (*.f64 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))))))) |
(-.f64 (*.f64 (+.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (fma.f64 1/2 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) 1) (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (*.f64 alpha (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))))))) |
(+.f64 (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 -1 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (*.f64 -1/6 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 3)))))) (+.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 1/2 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2))) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2))) (*.f64 -1 (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)))))) |
(fma.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (*.f64 (pow.f64 alpha 3) (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))) (fma.f64 -1 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (*.f64 -1/6 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 3))))) (+.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (fma.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (*.f64 (*.f64 alpha alpha) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 1/2 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))) (neg.f64 (*.f64 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))))))))) |
(fma.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (*.f64 (pow.f64 alpha 3) (-.f64 (-.f64 (*.f64 -1/6 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))))) (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (fma.f64 1/2 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) 1) (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (*.f64 alpha (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))))))) |
1 |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 1 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))) (/.f64 (*.f64 beta (+.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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-1 |
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(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(pow.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3) 1/3) |
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(pow.f64 (E.f64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) |
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(pow.f64 (exp.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))) |
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)) |
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)) |
(fabs.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) |
(log.f64 (exp.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) |
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) |
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3)) |
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) |
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) |
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 0) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(+.f64 1 (+.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))) |
(+.f64 0 (/.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))) |
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2))) (-.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) 1)) |
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2))) (+.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))) -1)) |
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))) (+.f64 -1 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (-.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) 1)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(+.f64 (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.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))) |
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(-.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 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) (+.f64 1 (/.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 -1 (/.f64 -1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))) |
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(*.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))) |
(*.f64 1 (/.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))) |
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.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))) |
(*.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 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (-.f64 -2 (+.f64 beta alpha)))) |
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (-.f64 -2 (+.f64 alpha beta)))) |
(/.f64 (+.f64 (neg.f64 beta) alpha) (-.f64 (-.f64 -2 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 (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) |
(*.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 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.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))) |
(*.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 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 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 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(*.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 1 (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta)))) |
(/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) |
(*.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) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) |
(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 1 (-.f64 -2 (+.f64 alpha beta)))) |
(/.f64 (+.f64 (neg.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)) |
(fabs.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(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 6 to 6 computations (0% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 beta (+.f64 beta 2)) |
Compiled 29 to 21 computations (27.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | beta | @ | -inf | (/.f64 beta (+.f64 beta 2)) |
| 0.0ms | beta | @ | inf | (/.f64 beta (+.f64 beta 2)) |
| 0.0ms | beta | @ | 0 | (/.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 |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
Compiled 29 to 21 computations (27.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | beta | @ | 0 | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 1.0ms | beta | @ | inf | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 1.0ms | alpha | @ | 0 | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 1.0ms | beta | @ | -inf | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 1.0ms | 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 |
|---|---|---|
| ✓ | 99.9% | (/.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)))) |
| ✓ | 99.9% | (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) |
| ✓ | 95.4% | (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
| ✓ | 92.0% | (-.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 | |
|---|---|---|---|---|
| 11.0ms | 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)))) |
| 8.0ms | 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)))) |
| 7.0ms | alpha | @ | 0 | (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
| 5.0ms | 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)))) |
| 4.0ms | 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)))) |
| 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 |
|---|
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(/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 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(#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))))))) |
| 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)))))) |
(+.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 (*.f64 2 (/.f64 (*.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 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 3))) (+.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 1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 beta 2)))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 beta 2))) (*.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)))) (pow.f64 alpha 2))))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 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)))) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 beta 2))) (*.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)))) (pow.f64 alpha 2)))))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) |
(*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) |
(+.f64 (*.f64 -1 (/.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 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha))) |
(+.f64 (*.f64 -1 (/.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 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)))) |
(+.f64 (*.f64 -1 (/.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 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4)))))) |
(*.f64 -2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 3)) (*.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) |
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2 |
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2 |
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(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 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 1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))) |
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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 52780 to 37321 computations (29.3% saved)
12 alts after pruning (8 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 999 | 6 | 1005 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 1003 | 12 | 1015 |
| Status | Error | Program |
|---|---|---|
| ▶ | 49.5% | (/.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) |
| ✓ | 26.6% | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
| ▶ | 19.9% | (/.f64 (/.f64 2 alpha) 2) |
| 23.1% | (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (/.f64 (fma.f64 beta -1 (-.f64 -2 beta)) alpha)) 2) | |
| ▶ | 50.1% | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| ✓ | 77.3% | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
| ✓ | 75.4% | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| ▶ | 46.5% | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| 30.9% | (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) | |
| 10.8% | (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) | |
| ▶ | 50.1% | (/.f64 (log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2) |
| ✓ | 38.7% | (/.f64 2 2) |
Compiled 296 to 222 computations (25% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 alpha (+.f64 alpha 2)) |
| ✓ | 96.9% | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
Compiled 29 to 21 computations (27.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | alpha | @ | inf | (/.f64 alpha (+.f64 alpha 2)) |
| 0.0ms | alpha | @ | inf | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | -inf | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | 0 | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | 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 |
|---|
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(/.f64 alpha 1) (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (sqrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (fma.f64 alpha alpha -4))) (sqrt.f64 (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (cbrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (fma.f64 alpha alpha -4))) (cbrt.f64 (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 alpha (-.f64 -2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))))))) |
| 1× | egg-herbie |
| 1420× | associate-/r/ |
| 826× | associate-+l+ |
| 686× | associate-+r+ |
| 600× | +-commutative |
| 492× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 395 | 7727 |
| 1 | 1123 | 6943 |
| 2 | 4260 | 6921 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 alpha)) |
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(*.f64 1/2 alpha) |
(+.f64 (*.f64 1/2 alpha) (*.f64 -1/4 (pow.f64 alpha 2))) |
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2)))) |
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha)))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1) |
(+.f64 (-.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1) |
(*.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) |
(*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1) |
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(*.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) |
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (/.f64 alpha (+.f64 alpha 2))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (-.f64 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (-.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1)))) |
(/.f64 1 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))) |
(/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (/.f64 (+.f64 alpha 2) alpha))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (-.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 3)) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 3)) (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha))))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (-.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) 1) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3)) 1) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (-.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) 1) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) 1) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (/.f64 (+.f64 alpha 2) alpha))) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 3)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) 1) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1) |
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3)) |
(expm1.f64 (log.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha))))) |
(exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))) |
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(+.f64 (*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) alpha) (*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) -2)) |
(+.f64 (*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha alpha)) (*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 -2 alpha)))) |
(+.f64 (*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 -2 alpha))) (*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha alpha))) |
(+.f64 (*.f64 alpha (/.f64 alpha (fma.f64 alpha alpha -4))) (*.f64 -2 (/.f64 alpha (fma.f64 alpha alpha -4)))) |
(+.f64 (*.f64 (*.f64 alpha alpha) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))) (*.f64 (+.f64 4 (*.f64 -2 alpha)) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))))) |
(+.f64 (*.f64 (+.f64 4 (*.f64 -2 alpha)) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))) (*.f64 (*.f64 alpha alpha) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))))) |
(-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) |
(*.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(*.f64 alpha (/.f64 1 (+.f64 alpha 2))) |
(*.f64 (/.f64 alpha (+.f64 alpha 2)) 1) |
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (sqrt.f64 alpha) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2))) |
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)) |
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2))) |
(*.f64 (+.f64 alpha -2) (/.f64 alpha (fma.f64 alpha alpha -4))) |
(*.f64 (/.f64 1 (+.f64 alpha 2)) alpha) |
(*.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))) |
(*.f64 (neg.f64 alpha) (/.f64 -1 (+.f64 alpha 2))) |
(*.f64 (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)) (sqrt.f64 alpha)) |
(*.f64 (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)) (/.f64 (sqrt.f64 alpha) 1)) |
(*.f64 (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)) (pow.f64 (cbrt.f64 alpha) 2)) |
(*.f64 (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 alpha 1) (/.f64 1 (+.f64 alpha 2))) |
(*.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (/.f64 1 (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) |
(*.f64 (/.f64 1 (fma.f64 alpha alpha -4)) (*.f64 alpha (+.f64 alpha -2))) |
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2)) |
(*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) |
(*.f64 (/.f64 -1 (+.f64 alpha 2)) (neg.f64 alpha)) |
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2))) |
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))) (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (/.f64 (/.f64 alpha 1) 1) (/.f64 1 (+.f64 alpha 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 alpha 2)) (cbrt.f64 alpha)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 alpha (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 alpha -2)) |
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 alpha 2) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha)) |
(*.f64 (/.f64 alpha (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha)) |
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 (/.f64 alpha 1) (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha)) |
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (sqrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (fma.f64 alpha alpha -4))) (sqrt.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (cbrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (fma.f64 alpha alpha -4))) (cbrt.f64 (+.f64 alpha -2))) |
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1) |
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) |
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3) |
(pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1) |
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3) |
(neg.f64 (/.f64 alpha (-.f64 -2 alpha))) |
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) |
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))) |
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 alpha)) |
(fma.f64 -1/2 alpha 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))) |
(+.f64 1 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha)))) |
(+.f64 1 (fma.f64 -1/2 alpha (*.f64 alpha (*.f64 alpha 1/4)))) |
(+.f64 1 (*.f64 alpha (+.f64 -1/2 (*.f64 alpha 1/4)))) |
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))) |
(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 1 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha))))) |
(+.f64 (fma.f64 -1/2 alpha (*.f64 alpha (*.f64 alpha 1/4))) (fma.f64 -1/8 (pow.f64 alpha 3) 1)) |
(+.f64 (*.f64 alpha (+.f64 -1/2 (*.f64 alpha 1/4))) (fma.f64 -1/8 (pow.f64 alpha 3) 1)) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) |
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) |
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) |
(*.f64 1/2 alpha) |
(*.f64 alpha 1/2) |
(+.f64 (*.f64 1/2 alpha) (*.f64 -1/4 (pow.f64 alpha 2))) |
(fma.f64 1/2 alpha (*.f64 -1/4 (*.f64 alpha alpha))) |
(fma.f64 alpha 1/2 (*.f64 alpha (*.f64 alpha -1/4))) |
(*.f64 alpha (+.f64 1/2 (*.f64 alpha -1/4))) |
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2)))) |
(fma.f64 1/2 alpha (fma.f64 1/8 (pow.f64 alpha 3) (*.f64 -1/4 (*.f64 alpha alpha)))) |
(fma.f64 alpha 1/2 (fma.f64 (pow.f64 alpha 3) 1/8 (*.f64 alpha (*.f64 alpha -1/4)))) |
(fma.f64 alpha 1/2 (*.f64 (*.f64 alpha alpha) (+.f64 -1/4 (*.f64 alpha 1/8)))) |
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))) |
(fma.f64 1/2 alpha (fma.f64 -1/16 (pow.f64 alpha 4) (fma.f64 1/8 (pow.f64 alpha 3) (*.f64 -1/4 (*.f64 alpha alpha))))) |
(fma.f64 alpha 1/2 (fma.f64 (pow.f64 alpha 4) -1/16 (fma.f64 (pow.f64 alpha 3) 1/8 (*.f64 alpha (*.f64 alpha -1/4))))) |
(fma.f64 alpha 1/2 (fma.f64 (pow.f64 alpha 4) -1/16 (*.f64 (*.f64 alpha alpha) (+.f64 -1/4 (*.f64 alpha 1/8))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 1 (/.f64 2 alpha)) |
(+.f64 1 (/.f64 -2 alpha)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha)))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3)))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))))) |
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 1 (-.f64 (/.f64 -2 alpha) (/.f64 8 (pow.f64 alpha 3))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 1 (/.f64 2 alpha)) |
(+.f64 1 (/.f64 -2 alpha)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha)))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3)))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))))) |
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 1 (-.f64 (/.f64 -2 alpha) (/.f64 8 (pow.f64 alpha 3))))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(+.f64 (-.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1) |
(+.f64 1 (-.f64 0 (/.f64 alpha (+.f64 alpha 2)))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(*.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
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(+.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 alpha (+.f64 (pow.f64 alpha 3) 8)) (+.f64 (*.f64 alpha alpha) (+.f64 4 (*.f64 alpha -2)))) |
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (fma.f64 alpha (+.f64 alpha -2) 4)) |
(+.f64 (*.f64 (+.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 alpha (+.f64 (pow.f64 alpha 3) 8)) (+.f64 (*.f64 alpha alpha) (+.f64 4 (*.f64 alpha -2)))) |
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (fma.f64 alpha (+.f64 alpha -2) 4)) |
(-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 alpha (/.f64 1 (+.f64 alpha 2))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 alpha (+.f64 alpha 2)) 1) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (sqrt.f64 alpha) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (+.f64 alpha -2) (/.f64 alpha (fma.f64 alpha alpha -4))) |
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2)) |
(/.f64 (+.f64 alpha -2) (/.f64 (fma.f64 alpha alpha -4) alpha)) |
(*.f64 (/.f64 1 (+.f64 alpha 2)) alpha) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))) |
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (+.f64 (*.f64 alpha alpha) (+.f64 4 (*.f64 alpha -2)))) |
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (fma.f64 alpha (+.f64 alpha -2) 4)) |
(*.f64 (neg.f64 alpha) (/.f64 -1 (+.f64 alpha 2))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)) (sqrt.f64 alpha)) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)) (/.f64 (sqrt.f64 alpha) 1)) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)) (pow.f64 (cbrt.f64 alpha) 2)) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1)) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2)))) |
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2)))) |
(/.f64 (*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) 1) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) |
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) |
(*.f64 (/.f64 alpha 1) (/.f64 1 (+.f64 alpha 2))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (/.f64 1 (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2)))) |
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2))) |
(*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) |
(/.f64 (*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) 1) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) |
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) |
(*.f64 (/.f64 1 (fma.f64 alpha alpha -4)) (*.f64 alpha (+.f64 alpha -2))) |
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2)) |
(/.f64 (+.f64 alpha -2) (/.f64 (fma.f64 alpha alpha -4) alpha)) |
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (+.f64 (*.f64 alpha alpha) (+.f64 4 (*.f64 alpha -2)))) |
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (fma.f64 alpha (+.f64 alpha -2) 4)) |
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2)) |
(/.f64 (+.f64 alpha -2) (/.f64 (fma.f64 alpha alpha -4) alpha)) |
(*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) |
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (+.f64 (*.f64 alpha alpha) (+.f64 4 (*.f64 alpha -2)))) |
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (fma.f64 alpha (+.f64 alpha -2) 4)) |
(*.f64 (/.f64 -1 (+.f64 alpha 2)) (neg.f64 alpha)) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2)))) |
(/.f64 (*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) 1) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) |
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) |
(*.f64 (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))) (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) |
(/.f64 (*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) 1) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) |
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2)))) |
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2))) |
(*.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2)))) |
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) |
(*.f64 (/.f64 (/.f64 alpha 1) 1) (/.f64 1 (+.f64 alpha 2))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 alpha 2)) (cbrt.f64 alpha)) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha)) |
(*.f64 (/.f64 alpha (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 alpha (+.f64 -8 (neg.f64 (pow.f64 alpha 3)))) (+.f64 -4 (neg.f64 (*.f64 alpha (+.f64 alpha -2))))) |
(/.f64 (*.f64 alpha (+.f64 -4 (*.f64 alpha (-.f64 2 alpha)))) (-.f64 -8 (pow.f64 alpha 3))) |
(/.f64 (neg.f64 alpha) (/.f64 (-.f64 -8 (pow.f64 alpha 3)) (fma.f64 alpha (+.f64 alpha -2) 4))) |
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 alpha -2)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha)) |
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) |
(*.f64 (/.f64 alpha (+.f64 -8 (neg.f64 (pow.f64 alpha 3)))) (+.f64 -4 (neg.f64 (*.f64 alpha (+.f64 alpha -2))))) |
(/.f64 (*.f64 alpha (+.f64 -4 (*.f64 alpha (-.f64 2 alpha)))) (-.f64 -8 (pow.f64 alpha 3))) |
(/.f64 (neg.f64 alpha) (/.f64 (-.f64 -8 (pow.f64 alpha 3)) (fma.f64 alpha (+.f64 alpha -2) 4))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 alpha 2) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha)) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 alpha (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha)) |
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha)) |
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 alpha (+.f64 -8 (neg.f64 (pow.f64 alpha 3)))) (+.f64 -4 (neg.f64 (*.f64 alpha (+.f64 alpha -2))))) |
(/.f64 (*.f64 alpha (+.f64 -4 (*.f64 alpha (-.f64 2 alpha)))) (-.f64 -8 (pow.f64 alpha 3))) |
(/.f64 (neg.f64 alpha) (/.f64 (-.f64 -8 (pow.f64 alpha 3)) (fma.f64 alpha (+.f64 alpha -2) 4))) |
(*.f64 (/.f64 (/.f64 alpha 1) (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha)) |
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (sqrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) 8))) (sqrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) 8))) (sqrt.f64 (fma.f64 alpha (+.f64 alpha -2) 4))) |
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (fma.f64 alpha alpha -4))) (sqrt.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 alpha (*.f64 (sqrt.f64 (fma.f64 alpha alpha -4)) (sqrt.f64 (+.f64 alpha 2)))) (sqrt.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (cbrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 alpha (*.f64 (cbrt.f64 (+.f64 (pow.f64 alpha 3) 8)) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) (cbrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 alpha (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (cbrt.f64 (+.f64 (pow.f64 alpha 3) 8)))) (cbrt.f64 (fma.f64 alpha (+.f64 alpha -2) 4))) |
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (fma.f64 alpha alpha -4))) (cbrt.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 alpha (*.f64 (cbrt.f64 (fma.f64 alpha alpha -4)) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) (cbrt.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 (/.f64 alpha (cbrt.f64 (fma.f64 alpha alpha -4))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 alpha -2))) |
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(neg.f64 (/.f64 alpha (-.f64 -2 alpha))) |
(/.f64 (neg.f64 alpha) (-.f64 -2 alpha)) |
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) |
(fabs.f64 (/.f64 alpha (+.f64 alpha 2))) |
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
Compiled 12 to 9 computations (25% saved)
Compiled 21 to 17 computations (19% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 99.9% | (/.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)))) |
| ✓ | 99.9% | (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) |
| 95.4% | (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) | |
| ✓ | 92.0% | (-.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 | |
|---|---|---|---|---|
| 8.0ms | 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)))) |
| 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 | 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)))) |
| 4.0ms | 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)))) |
| 4.0ms | 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 |
|---|
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(#(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)))) |
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1 |
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1 |
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1 |
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1 |
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(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) 3) 1/3) |
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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)))) |
(/.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))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 100.0% | (/.f64 alpha (+.f64 alpha 2)) | |
| ✓ | 100.0% | (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
| 96.9% | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) | |
| ✓ | 96.9% | (log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
Compiled 48 to 36 computations (25% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | alpha | @ | 0 | (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
| 0.0ms | alpha | @ | inf | (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
| 0.0ms | alpha | @ | -inf | (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
| 0.0ms | alpha | @ | 0 | (log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
| 0.0ms | alpha | @ | inf | (log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
| 1× | batch-egg-rewrite |
| 1448× | associate-*r/ |
| 986× | associate-*l/ |
| 948× | *-commutative |
| 930× | associate-/r* |
| 686× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 42 |
| 1 | 229 | 42 |
| 2 | 2834 | 42 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1398× | associate-/r* |
| 1030× | associate-/l/ |
| 954× | *-commutative |
| 680× | associate-/r/ |
| 644× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 344 | 7076 |
| 1 | 919 | 6892 |
| 2 | 3543 | 6824 |
| 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))))) |
(exp.f64 1) |
(+.f64 (*.f64 -1/2 (*.f64 alpha (exp.f64 1))) (exp.f64 1)) |
(+.f64 (*.f64 -1/2 (*.f64 alpha (exp.f64 1))) (+.f64 (*.f64 3/8 (*.f64 (pow.f64 alpha 2) (exp.f64 1))) (exp.f64 1))) |
(+.f64 (*.f64 -1/2 (*.f64 alpha (exp.f64 1))) (+.f64 (*.f64 3/8 (*.f64 (pow.f64 alpha 2) (exp.f64 1))) (+.f64 (*.f64 -13/48 (*.f64 (pow.f64 alpha 3) (exp.f64 1))) (exp.f64 1)))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 alpha))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 alpha 3))) (+.f64 1 (*.f64 2 (/.f64 1 alpha)))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 alpha))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 alpha 3))) (+.f64 1 (*.f64 2 (/.f64 1 alpha)))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) |
(+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 0) |
(+.f64 0 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) |
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2))) |
(+.f64 (+.f64 0 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 1) |
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(log.f64 (exp.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) |
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) |
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3)) |
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) |
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 1 (/.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 (*.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 1/4 (*.f64 alpha alpha))) (fma.f64 -1/8 (pow.f64 alpha 3) 1)) |
(+.f64 (fma.f64 -1/2 alpha 1) (*.f64 (*.f64 alpha alpha) (+.f64 1/4 (*.f64 alpha -1/8)))) |
(/.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 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.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 2 alpha) (-.f64 (/.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 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.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 2 alpha) (-.f64 (/.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))))) |
(exp.f64 1) |
(E.f64) |
(+.f64 (*.f64 -1/2 (*.f64 alpha (exp.f64 1))) (exp.f64 1)) |
(fma.f64 -1/2 (*.f64 alpha (E.f64)) (E.f64)) |
(*.f64 (fma.f64 -1/2 alpha 1) (E.f64)) |
(+.f64 (*.f64 -1/2 (*.f64 alpha (exp.f64 1))) (+.f64 (*.f64 3/8 (*.f64 (pow.f64 alpha 2) (exp.f64 1))) (exp.f64 1))) |
(fma.f64 -1/2 (*.f64 alpha (E.f64)) (fma.f64 3/8 (*.f64 (*.f64 alpha alpha) (E.f64)) (E.f64))) |
(fma.f64 -1/2 (*.f64 alpha (E.f64)) (fma.f64 3/8 (*.f64 alpha (*.f64 alpha (E.f64))) (E.f64))) |
(*.f64 (E.f64) (+.f64 1 (*.f64 alpha (+.f64 -1/2 (*.f64 alpha 3/8))))) |
(+.f64 (*.f64 -1/2 (*.f64 alpha (exp.f64 1))) (+.f64 (*.f64 3/8 (*.f64 (pow.f64 alpha 2) (exp.f64 1))) (+.f64 (*.f64 -13/48 (*.f64 (pow.f64 alpha 3) (exp.f64 1))) (exp.f64 1)))) |
(fma.f64 -1/2 (*.f64 alpha (E.f64)) (fma.f64 3/8 (*.f64 (*.f64 alpha alpha) (E.f64)) (fma.f64 -13/48 (*.f64 (pow.f64 alpha 3) (E.f64)) (E.f64)))) |
(+.f64 (*.f64 (E.f64) (+.f64 (*.f64 (*.f64 alpha alpha) 3/8) (*.f64 (pow.f64 alpha 3) -13/48))) (*.f64 (fma.f64 -1/2 alpha 1) (E.f64))) |
(+.f64 (E.f64) (*.f64 (E.f64) (+.f64 (*.f64 alpha (+.f64 -1/2 (*.f64 alpha 3/8))) (*.f64 (pow.f64 alpha 3) -13/48)))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(+.f64 1 (/.f64 2 alpha)) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 alpha))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 1 (-.f64 (/.f64 2 alpha) (/.f64 2 (*.f64 alpha alpha)))) |
(+.f64 1 (+.f64 (/.f64 2 alpha) (/.f64 -2 (*.f64 alpha alpha)))) |
(-.f64 (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 alpha 3))) (+.f64 1 (*.f64 2 (/.f64 1 alpha)))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 4/3 (pow.f64 alpha 3)) (+.f64 1 (-.f64 (/.f64 2 alpha) (/.f64 2 (*.f64 alpha alpha))))) |
(+.f64 (+.f64 1 (/.f64 2 alpha)) (+.f64 (/.f64 4/3 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha)))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -2 (*.f64 alpha alpha))) (/.f64 4/3 (pow.f64 alpha 3)))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(+.f64 1 (/.f64 2 alpha)) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 alpha))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 1 (-.f64 (/.f64 2 alpha) (/.f64 2 (*.f64 alpha alpha)))) |
(+.f64 1 (+.f64 (/.f64 2 alpha) (/.f64 -2 (*.f64 alpha alpha)))) |
(-.f64 (+.f64 (*.f64 4/3 (/.f64 1 (pow.f64 alpha 3))) (+.f64 1 (*.f64 2 (/.f64 1 alpha)))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 4/3 (pow.f64 alpha 3)) (+.f64 1 (-.f64 (/.f64 2 alpha) (/.f64 2 (*.f64 alpha alpha))))) |
(+.f64 (+.f64 1 (/.f64 2 alpha)) (+.f64 (/.f64 4/3 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha)))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -2 (*.f64 alpha alpha))) (/.f64 4/3 (pow.f64 alpha 3)))) |
(+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 0) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 0 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) |
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) |
(+.f64 (+.f64 0 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 1) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) |
(+.f64 (-.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) |
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 0 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 1) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (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 alpha (+.f64 alpha 2)))) |
(-.f64 (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (/.f64 (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 (+.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 1 (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (-.f64 1 (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 0 (exp.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) 1) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 0 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (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 alpha (+.f64 alpha 2)))) |
(-.f64 (+.f64 0 (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (/.f64 (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 (+.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 1 (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) |
(*.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) |
(*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 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)) 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 (+.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 1 (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (-.f64 1 (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 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 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 (+.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 1 (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (-.f64 1 (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)) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(*.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 (+.f64 1 (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 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (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 (+.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 (-.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 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 2)))))) (-.f64 1 (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (/.f64 alpha (+.f64 alpha 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 (/.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 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
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(/.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2) (/.f64 (cbrt.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2)))) (cbrt.f64 (E.f64)))) |
(*.f64 (/.f64 (cbrt.f64 (E.f64)) (cbrt.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2) (/.f64 (cbrt.f64 (E.f64)) (cbrt.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2)))))) |
(/.f64 (/.f64 (E.f64) 1) (exp.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (/.f64 (E.f64) (sqrt.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))) (sqrt.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))) |
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (/.f64 (E.f64) (*.f64 (cbrt.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2)))) (cbrt.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2)))))) (cbrt.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))) |
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(pow.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1) |
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2) |
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 3) |
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(pow.f64 (pow.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3) 1/3) |
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(pow.f64 (E.f64) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)) |
(fabs.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(log.f64 (exp.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) |
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) |
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3)) |
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) |
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) |
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
Compiled 62753 to 45580 computations (27.4% saved)
17 alts after pruning (9 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1205 | 6 | 1211 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 7 | 8 |
| Total | 1206 | 17 | 1223 |
| Status | Error | Program |
|---|---|---|
| 49.4% | (/.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)))))) 3) 2) | |
| ▶ | 50.0% | (/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) |
| ✓ | 26.6% | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
| ✓ | 19.9% | (/.f64 (/.f64 2 alpha) 2) |
| ▶ | 49.5% | (/.f64 (/.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)))) 2) |
| 23.1% | (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (/.f64 (fma.f64 beta -1 (-.f64 -2 beta)) alpha)) 2) | |
| 18.2% | (/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) | |
| ✓ | 50.1% | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| ▶ | 47.7% | (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
| ✓ | 77.3% | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
| ✓ | 75.4% | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| ✓ | 46.5% | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| ▶ | 30.9% | (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) |
| 10.8% | (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) | |
| ✓ | 50.1% | (/.f64 (log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2) |
| ✓ | 38.7% | (/.f64 2 2) |
| ▶ | 49.8% | (/.f64 1 2) |
Compiled 412 to 318 computations (22.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 100.0% | (/.f64 alpha (+.f64 alpha 2)) | |
| ✓ | 100.0% | (/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
| ✓ | 100.0% | (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha))) |
| ✓ | 96.9% | (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) |
Compiled 97 to 68 computations (29.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | inf | (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) |
| 0.0ms | alpha | @ | 0 | (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) |
| 0.0ms | alpha | @ | -inf | (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) |
| 0.0ms | alpha | @ | inf | (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha))) |
| 0.0ms | alpha | @ | 0 | (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha))) |
| 1× | batch-egg-rewrite |
| 1724× | associate-/l/ |
| 1220× | distribute-lft-in |
| 350× | add-sqr-sqrt |
| 338× | pow1 |
| 338× | *-un-lft-identity |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 93 |
| 1 | 337 | 93 |
| 2 | 5059 | 63 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) |
(*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha))) |
(/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 3) (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 alpha (-.f64 -2 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha (/.f64 1 (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))) (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2) (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 1))))) |
| 1× | egg-herbie |
| 744× | +-commutative |
| 740× | times-frac |
| 690× | associate-/r* |
| 610× | associate-/l* |
| 592× | associate-+r- |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 465 | 8011 |
| 1 | 1315 | 7691 |
| 2 | 6639 | 7663 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/4 (pow.f64 alpha 2))) |
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2)))) |
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 -3/16 (pow.f64 alpha 4)) (*.f64 -1/4 (pow.f64 alpha 2))))) |
(/.f64 4 alpha) |
(-.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) (*.f64 80 (/.f64 1 (pow.f64 alpha 4))))) |
(/.f64 4 alpha) |
(-.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) (*.f64 80 (/.f64 1 (pow.f64 alpha 4))))) |
(*.f64 1/4 (pow.f64 alpha 2)) |
(+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (*.f64 1/4 (pow.f64 alpha 2))) |
(+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -1/8 (pow.f64 alpha 5)) (+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 2))))) |
1 |
(-.f64 1 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (*.f64 4 (/.f64 1 alpha))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha)))) |
1 |
(-.f64 1 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (*.f64 4 (/.f64 1 alpha))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha)))) |
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 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) |
(+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) 1) |
(+.f64 (-.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 1) |
(*.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 1) |
(*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))) |
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))))) |
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)))) |
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))) (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6)))) |
(/.f64 1 (*.f64 1 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))))) |
(/.f64 1 (*.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))) (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 1) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))) (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1)) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6))) (*.f64 1 (neg.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)))))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))) (*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6))) (*.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6)) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6)) (*.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4) 3)) (*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4) (*.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6) 3)) (*.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))) (+.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6))) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6)))) |
(pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 1) |
(pow.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 2)) |
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 3)) |
(expm1.f64 (log.f64 (+.f64 2 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))) |
(exp.f64 (log1p.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) |
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 1)) |
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))) |
(+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1)) |
(+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) 0) |
(+.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1) 1) |
(+.f64 (*.f64 (/.f64 alpha (*.f64 (-.f64 4 (*.f64 alpha alpha)) (/.f64 (+.f64 alpha 2) alpha))) alpha) (*.f64 (/.f64 alpha (*.f64 (-.f64 4 (*.f64 alpha alpha)) (/.f64 (+.f64 alpha 2) alpha))) -2)) |
(+.f64 (*.f64 (/.f64 alpha (*.f64 (-.f64 4 (*.f64 alpha alpha)) (/.f64 (+.f64 alpha 2) alpha))) -2) (*.f64 (/.f64 alpha (*.f64 (-.f64 4 (*.f64 alpha alpha)) (/.f64 (+.f64 alpha 2) alpha))) alpha)) |
(+.f64 (*.f64 (/.f64 alpha (*.f64 (-.f64 -8 (pow.f64 alpha 3)) (/.f64 (+.f64 alpha 2) alpha))) 4) (*.f64 (/.f64 alpha (*.f64 (-.f64 -8 (pow.f64 alpha 3)) (/.f64 (+.f64 alpha 2) alpha))) (*.f64 alpha (+.f64 alpha -2)))) |
(+.f64 (*.f64 (/.f64 alpha (*.f64 (-.f64 -8 (pow.f64 alpha 3)) (/.f64 (+.f64 alpha 2) alpha))) (*.f64 alpha (+.f64 alpha -2))) (*.f64 (/.f64 alpha (*.f64 (-.f64 -8 (pow.f64 alpha 3)) (/.f64 (+.f64 alpha 2) alpha))) 4)) |
(+.f64 (*.f64 (/.f64 alpha (*.f64 (-.f64 -8 (pow.f64 alpha 3)) (/.f64 (+.f64 alpha 2) alpha))) (+.f64 4 (*.f64 alpha alpha))) (*.f64 (/.f64 alpha (*.f64 (-.f64 -8 (pow.f64 alpha 3)) (/.f64 (+.f64 alpha 2) alpha))) (*.f64 alpha -2))) |
(-.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 1) |
(-.f64 0 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) |
(/.f64 1 (*.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (+.f64 alpha 2) alpha))) |
(/.f64 1 (/.f64 (pow.f64 (-.f64 -2 alpha) 2) (*.f64 alpha alpha))) |
(/.f64 1 (/.f64 (-.f64 -2 alpha) (/.f64 alpha (/.f64 (+.f64 alpha 2) alpha)))) |
(/.f64 1 (*.f64 1 (*.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (+.f64 alpha 2) alpha)))) |
(/.f64 1 (*.f64 1 (/.f64 (pow.f64 (-.f64 -2 alpha) 2) (*.f64 alpha alpha)))) |
(/.f64 1 (*.f64 1 (/.f64 (-.f64 -2 alpha) (/.f64 alpha (/.f64 (+.f64 alpha 2) alpha))))) |
(/.f64 alpha (/.f64 (pow.f64 (-.f64 -2 alpha) 2) alpha)) |
(/.f64 alpha (/.f64 (-.f64 -2 alpha) (/.f64 alpha (-.f64 -2 alpha)))) |
(/.f64 alpha (*.f64 (/.f64 (+.f64 alpha 2) alpha) (-.f64 -2 alpha))) |
(/.f64 alpha (*.f64 (/.f64 (+.f64 alpha 2) alpha) (+.f64 alpha 2))) |
(/.f64 alpha (*.f64 (-.f64 -2 alpha) (/.f64 (+.f64 alpha 2) alpha))) |
(/.f64 alpha (*.f64 (+.f64 alpha 2) (/.f64 (+.f64 alpha 2) alpha))) |
(/.f64 alpha (*.f64 1 (/.f64 (pow.f64 (-.f64 -2 alpha) 2) alpha))) |
(/.f64 alpha (*.f64 1 (/.f64 (-.f64 -2 alpha) (/.f64 alpha (-.f64 -2 alpha))))) |
(/.f64 alpha (*.f64 1 (*.f64 (/.f64 (+.f64 alpha 2) alpha) (-.f64 -2 alpha)))) |
(/.f64 alpha (*.f64 1 (*.f64 (-.f64 -2 alpha) (/.f64 (+.f64 alpha 2) alpha)))) |
(/.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 (+.f64 alpha 2) alpha)) |
(/.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) 1) |
(/.f64 (sqrt.f64 alpha) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (-.f64 -2 alpha) (sqrt.f64 alpha)))) |
(/.f64 (sqrt.f64 alpha) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (+.f64 alpha 2) (sqrt.f64 alpha)))) |
(/.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (-.f64 -2 alpha) (cbrt.f64 alpha)))) |
(/.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (+.f64 alpha 2) (cbrt.f64 alpha)))) |
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) |
(/.f64 (*.f64 alpha alpha) (pow.f64 (-.f64 -2 alpha) 2)) |
(/.f64 (/.f64 alpha (/.f64 (+.f64 alpha 2) alpha)) (-.f64 -2 alpha)) |
(/.f64 (/.f64 alpha (/.f64 (+.f64 alpha 2) alpha)) (+.f64 alpha 2)) |
(/.f64 (neg.f64 alpha) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (-.f64 -2 alpha))) |
(/.f64 (neg.f64 alpha) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (+.f64 alpha 2))) |
(/.f64 (neg.f64 alpha) (*.f64 1 (*.f64 (/.f64 (+.f64 alpha 2) alpha) (+.f64 alpha 2)))) |
(/.f64 (sqrt.f64 (/.f64 alpha (/.f64 (+.f64 alpha 2) alpha))) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (sqrt.f64 (-.f64 -2 alpha)))) |
(/.f64 (*.f64 (neg.f64 alpha) (neg.f64 alpha)) (pow.f64 (+.f64 alpha 2) 2)) |
(/.f64 (*.f64 (neg.f64 alpha) (neg.f64 alpha)) (pow.f64 (-.f64 -2 alpha) 2)) |
(/.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (-.f64 -2 alpha) (+.f64 alpha 2))) |
(/.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (+.f64 alpha 2) (-.f64 -2 alpha))) |
(/.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 1 (*.f64 (-.f64 -2 alpha) (+.f64 alpha 2)))) |
(/.f64 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (neg.f64 alpha)) (-.f64 -2 alpha)) |
(/.f64 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (neg.f64 alpha)) (+.f64 alpha 2)) |
(/.f64 (*.f64 (neg.f64 alpha) (/.f64 alpha (-.f64 -2 alpha))) (-.f64 -2 alpha)) |
(/.f64 (*.f64 (neg.f64 alpha) (/.f64 alpha (-.f64 -2 alpha))) (+.f64 alpha 2)) |
(/.f64 (*.f64 (neg.f64 alpha) alpha) (*.f64 (-.f64 -2 alpha) (+.f64 alpha 2))) |
(/.f64 (*.f64 (neg.f64 alpha) alpha) (*.f64 (+.f64 alpha 2) (-.f64 -2 alpha))) |
(/.f64 (*.f64 (neg.f64 alpha) alpha) (*.f64 1 (*.f64 (+.f64 alpha 2) (-.f64 -2 alpha)))) |
(/.f64 (/.f64 alpha 1) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (-.f64 -2 alpha))) |
(/.f64 (/.f64 alpha 1) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (+.f64 alpha 2))) |
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (sqrt.f64 (+.f64 alpha 2)))) |
(/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (cbrt.f64 (+.f64 alpha 2)))) |
(/.f64 (/.f64 alpha (*.f64 (sqrt.f64 (-.f64 -2 alpha)) (/.f64 (+.f64 alpha 2) alpha))) (sqrt.f64 (-.f64 -2 alpha))) |
(/.f64 (/.f64 alpha (*.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2) (/.f64 (+.f64 alpha 2) alpha))) (cbrt.f64 (-.f64 -2 alpha))) |
(/.f64 (/.f64 alpha (sqrt.f64 (-.f64 -2 alpha))) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (sqrt.f64 (-.f64 -2 alpha)))) |
(/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2)) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (cbrt.f64 (-.f64 -2 alpha)))) |
(/.f64 (*.f64 (neg.f64 alpha) 1) (*.f64 (-.f64 -2 alpha) (/.f64 (+.f64 alpha 2) alpha))) |
(/.f64 (*.f64 (neg.f64 alpha) 1) (*.f64 (+.f64 alpha 2) (/.f64 (+.f64 alpha 2) alpha))) |
(/.f64 (*.f64 (neg.f64 alpha) 1) (*.f64 1 (*.f64 (+.f64 alpha 2) (/.f64 (+.f64 alpha 2) alpha)))) |
(/.f64 -1 (*.f64 (/.f64 (+.f64 alpha 2) alpha) (/.f64 (+.f64 alpha 2) alpha))) |
(/.f64 -1 (*.f64 (/.f64 (+.f64 alpha 2) alpha) (neg.f64 (/.f64 (+.f64 alpha 2) alpha)))) |
(/.f64 (neg.f64 (neg.f64 alpha)) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (-.f64 -2 alpha))) |
(/.f64 (neg.f64 (neg.f64 alpha)) (*.f64 (/.f64 (+.f64 alpha 2) alpha) (+.f64 alpha 2))) |
(/.f64 (neg.f64 (*.f64 alpha alpha)) (pow.f64 (-.f64 -2 alpha) 2)) |
(/.f64 (neg.f64 (*.f64 alpha alpha)) (neg.f64 (pow.f64 (-.f64 -2 alpha) 2))) |
(/.f64 (neg.f64 (*.f64 alpha alpha)) (*.f64 1 (neg.f64 (pow.f64 (-.f64 -2 alpha) 2)))) |
(/.f64 (neg.f64 (/.f64 alpha (/.f64 (+.f64 alpha 2) alpha))) (-.f64 -2 alpha)) |
(/.f64 (neg.f64 (/.f64 alpha (/.f64 (+.f64 alpha 2) alpha))) (+.f64 alpha 2)) |
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) |
(pow.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) 1) |
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2) 3) |
(pow.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6) 1/3) |
(neg.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)) |
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) |
(log.f64 (/.f64 1 (exp.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))) |
(cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6)) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) |
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (-.f64 -2 alpha))) 2)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1) |
(+.f64 (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) (neg.f64 (/.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) |
(+.f64 (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) (*.f64 1 (neg.f64 (/.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))) |
(+.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))) |
(+.f64 (-.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 1) |
(+.f64 (*.f64 (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) 1) (*.f64 (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) |
(+.f64 (*.f64 (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (*.f64 (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) 1)) |
(+.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 1) (*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (/.f64 alpha (-.f64 -2 alpha)))) |
(+.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) 1) (*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))) |
(+.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) 1)) |
(-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(-.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 0) |
(-.f64 0 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) |
(-.f64 (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) (/.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha))))) 1) |
(-.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha))) 1) |
(*.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))) |
(*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1) |
(*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (/.f64 -1 (+.f64 (/.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 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)))) |
(*.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 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3)) (/.f64 1 (-.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)))) |
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1) (/.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (-.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(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) |
(pow.f64 (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) -1) |
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))) |
(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)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 3) (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)))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(fma.f64 1 (/.f64 alpha (-.f64 -2 alpha)) 1) |
(fma.f64 alpha (/.f64 1 (+.f64 alpha 2)) 1) |
(fma.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))) (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2) (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 1) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/4 (pow.f64 alpha 2))) |
(+.f64 1 (*.f64 -1/4 (*.f64 alpha alpha))) |
(fma.f64 -1/4 (*.f64 alpha alpha) 1) |
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2)))) |
(+.f64 1 (fma.f64 1/4 (pow.f64 alpha 3) (*.f64 -1/4 (*.f64 alpha alpha)))) |
(+.f64 1 (fma.f64 1/4 (pow.f64 alpha 3) (*.f64 (*.f64 -1/4 alpha) alpha))) |
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 -3/16 (pow.f64 alpha 4)) (*.f64 -1/4 (pow.f64 alpha 2))))) |
(+.f64 1 (fma.f64 1/4 (pow.f64 alpha 3) (fma.f64 -3/16 (pow.f64 alpha 4) (*.f64 -1/4 (*.f64 alpha alpha))))) |
(+.f64 1 (fma.f64 1/4 (pow.f64 alpha 3) (fma.f64 -3/16 (pow.f64 alpha 4) (*.f64 (*.f64 -1/4 alpha) alpha)))) |
(/.f64 4 alpha) |
(-.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 4 alpha) (/.f64 12 (*.f64 alpha alpha))) |
(-.f64 (/.f64 4 alpha) (/.f64 (/.f64 12 alpha) alpha)) |
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (/.f64 12 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 4 alpha) (-.f64 (/.f64 32 (pow.f64 alpha 3)) (/.f64 (/.f64 12 alpha) alpha))) |
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) (*.f64 80 (/.f64 1 (pow.f64 alpha 4))))) |
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (+.f64 (/.f64 12 (*.f64 alpha alpha)) (/.f64 80 (pow.f64 alpha 4))))) |
(-.f64 (+.f64 (/.f64 4 alpha) (-.f64 (/.f64 32 (pow.f64 alpha 3)) (/.f64 (/.f64 12 alpha) alpha))) (/.f64 80 (pow.f64 alpha 4))) |
(/.f64 4 alpha) |
(-.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 4 alpha) (/.f64 12 (*.f64 alpha alpha))) |
(-.f64 (/.f64 4 alpha) (/.f64 (/.f64 12 alpha) alpha)) |
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (/.f64 12 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 4 alpha) (-.f64 (/.f64 32 (pow.f64 alpha 3)) (/.f64 (/.f64 12 alpha) alpha))) |
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) (*.f64 80 (/.f64 1 (pow.f64 alpha 4))))) |
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (+.f64 (/.f64 12 (*.f64 alpha alpha)) (/.f64 80 (pow.f64 alpha 4))))) |
(-.f64 (+.f64 (/.f64 4 alpha) (-.f64 (/.f64 32 (pow.f64 alpha 3)) (/.f64 (/.f64 12 alpha) alpha))) (/.f64 80 (pow.f64 alpha 4))) |
(*.f64 1/4 (pow.f64 alpha 2)) |
(*.f64 1/4 (*.f64 alpha alpha)) |
(*.f64 alpha (*.f64 alpha 1/4)) |
(+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (*.f64 1/4 (pow.f64 alpha 2))) |
(fma.f64 -1/4 (pow.f64 alpha 3) (*.f64 1/4 (*.f64 alpha alpha))) |
(fma.f64 -1/4 (pow.f64 alpha 3) (*.f64 alpha (*.f64 alpha 1/4))) |
(+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 2)))) |
(fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 3/16 (pow.f64 alpha 4) (*.f64 1/4 (*.f64 alpha alpha)))) |
(fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 1/4 (*.f64 alpha alpha) (*.f64 (pow.f64 alpha 4) 3/16))) |
(+.f64 (*.f64 -1/8 (pow.f64 alpha 5)) (+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 2))))) |
(fma.f64 -1/8 (pow.f64 alpha 5) (fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 3/16 (pow.f64 alpha 4) (*.f64 1/4 (*.f64 alpha alpha))))) |
(fma.f64 -1/8 (pow.f64 alpha 5) (fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 1/4 (*.f64 alpha alpha) (*.f64 (pow.f64 alpha 4) 3/16)))) |
1 |
(-.f64 1 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 1 (/.f64 4 alpha)) |
(+.f64 1 (/.f64 -4 alpha)) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (*.f64 4 (/.f64 1 alpha))) |
(+.f64 (/.f64 12 (*.f64 alpha alpha)) (-.f64 1 (/.f64 4 alpha))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 12 alpha) alpha) (/.f64 -4 alpha))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha)))) |
(-.f64 (+.f64 1 (/.f64 12 (*.f64 alpha alpha))) (+.f64 (/.f64 4 alpha) (/.f64 32 (pow.f64 alpha 3)))) |
(+.f64 (/.f64 (/.f64 12 alpha) alpha) (-.f64 (+.f64 1 (/.f64 -4 alpha)) (/.f64 32 (pow.f64 alpha 3)))) |
1 |
(-.f64 1 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 1 (/.f64 4 alpha)) |
(+.f64 1 (/.f64 -4 alpha)) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (*.f64 4 (/.f64 1 alpha))) |
(+.f64 (/.f64 12 (*.f64 alpha alpha)) (-.f64 1 (/.f64 4 alpha))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 12 alpha) alpha) (/.f64 -4 alpha))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha)))) |
(-.f64 (+.f64 1 (/.f64 12 (*.f64 alpha alpha))) (+.f64 (/.f64 4 alpha) (/.f64 32 (pow.f64 alpha 3)))) |
(+.f64 (/.f64 (/.f64 12 alpha) alpha) (-.f64 (+.f64 1 (/.f64 -4 alpha)) (/.f64 32 (pow.f64 alpha 3)))) |
1 |
(+.f64 1 (*.f64 -1/2 alpha)) |
(+.f64 1 (*.f64 alpha -1/2)) |
(fma.f64 alpha -1/2 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 (*.f64 alpha (*.f64 alpha 1/4)) (fma.f64 alpha -1/2 1)) |
(+.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))))) |
(fma.f64 (pow.f64 alpha 3) -1/8 (+.f64 (*.f64 alpha (*.f64 alpha 1/4)) (fma.f64 alpha -1/2 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 2 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha)))) |
(-.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 8 (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 16 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 2 alpha) (-.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha))) (/.f64 16 (pow.f64 alpha 4)))) |
(/.f64 2 alpha) |
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(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (+.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))) |
(+.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) 1)) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (+.f64 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 1)) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (+.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))) |
(-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(+.f64 1 (-.f64 0 (/.f64 alpha (-.f64 -2 alpha)))) |
(-.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 0) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(-.f64 0 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) |
(+.f64 1 (-.f64 0 (/.f64 alpha (-.f64 -2 alpha)))) |
(-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(-.f64 (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) (/.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha))))) 1) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(-.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha))) 1) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(*.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) |
(/.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) |
(*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) |
(*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) |
(/.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 (/.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 1 (/.f64 alpha (-.f64 -2 alpha))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) |
(/.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) |
(*.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 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) |
(/.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3)) (/.f64 1 (-.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3)) 1) (-.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3)) (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1) (/.f64 1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))) |
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (-.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (-.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) |
(pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 3) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3) 1/3) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(pow.f64 (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) -1) |
(+.f64 1 (-.f64 0 (/.f64 alpha (-.f64 -2 alpha)))) |
(-.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) |
(/.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 2)) |
(fabs.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) |
(log.f64 (exp.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3)) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 3) (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3))) |
(expm1.f64 (log.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha))))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))) 1)) |
(exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))) |
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(fma.f64 1 (/.f64 alpha (-.f64 -2 alpha)) 1) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(fma.f64 alpha (/.f64 1 (+.f64 alpha 2)) 1) |
(+.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(fma.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))) (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 1) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2) (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 1) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
Compiled 7 to 7 computations (0% saved)
Compiled 21 to 17 computations (19% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
Compiled 54 to 42 computations (22.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
| 1.0ms | beta | @ | -inf | (/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
| 0.0ms | beta | @ | 0 | (/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
| 0.0ms | alpha | @ | inf | (/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
| 0.0ms | beta | @ | inf | (/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
| 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 alpha)) beta) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 alpha 2) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 2 alpha 2) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (fma.f64 2 alpha 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 2 alpha 2)) (/.f64 1 (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (fma.f64 2 alpha 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 2 alpha 2) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta))))))) |
| 1× | egg-herbie |
| 990× | associate-+r+ |
| 780× | associate-+l+ |
| 766× | *-commutative |
| 580× | associate-*r/ |
| 396× | associate-*l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 972 |
| 1 | 217 | 960 |
| 2 | 841 | 732 |
| 3 | 3780 | 732 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 beta) |
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(*.f64 2 (/.f64 alpha beta)) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(*.f64 2 (/.f64 alpha beta)) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta))) 1) |
(*.f64 (fma.f64 2 alpha 2) (/.f64 1 beta)) |
(*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1) |
(*.f64 1 (/.f64 (fma.f64 2 alpha 2) beta)) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta))) |
(*.f64 (/.f64 1 beta) (fma.f64 2 alpha 2)) |
(*.f64 (neg.f64 (fma.f64 2 alpha 2)) (/.f64 1 (neg.f64 beta))) |
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) beta)) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (cbrt.f64 beta))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) beta)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (sqrt.f64 beta))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 3) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3) 1/3) |
(pow.f64 (/.f64 beta (fma.f64 2 alpha 2)) -1) |
(neg.f64 (/.f64 (fma.f64 2 alpha 2) (neg.f64 beta))) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 2)) |
(log.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta)))) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(exp.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
| Outputs |
|---|
(/.f64 2 beta) |
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 (/.f64 2 beta) alpha) |
(/.f64 2 (/.f64 beta alpha)) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 2 (/.f64 alpha beta)) |
(*.f64 (/.f64 2 beta) alpha) |
(/.f64 2 (/.f64 beta alpha)) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta))) 1) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (fma.f64 2 alpha 2) (/.f64 1 beta)) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 1 (/.f64 (fma.f64 2 alpha 2) beta)) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2)) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (/.f64 1 beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (/.f64 1 beta) (fma.f64 2 alpha 2)) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (neg.f64 (fma.f64 2 alpha 2)) (/.f64 1 (neg.f64 beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta))) |
(/.f64 (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2)) |
(/.f64 (fma.f64 2 alpha 2) (*.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta))) |
(/.f64 (fma.f64 2 alpha 2) (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) beta)) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (cbrt.f64 beta))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta))) |
(/.f64 (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2)) |
(/.f64 (fma.f64 2 alpha 2) (*.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta))) |
(/.f64 (fma.f64 2 alpha 2) (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 beta) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) beta)) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (sqrt.f64 beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (pow.f64 (cbrt.f64 beta) 2))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2)) (pow.f64 (cbrt.f64 beta) 2)) |
(pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 1) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 2) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 3) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3) 1/3) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(pow.f64 (/.f64 beta (fma.f64 2 alpha 2)) -1) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(neg.f64 (/.f64 (fma.f64 2 alpha 2) (neg.f64 beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 2)) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(log.f64 (exp.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta)))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) 3)) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(exp.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 alpha 2) beta)) 1)) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) |
(/.f64 (fma.f64 2 alpha 2) beta) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 100.0% | (/.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)))) |
| ✓ | 99.9% | (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2) |
| 95.4% | (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) | |
| ✓ | 92.0% | (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) |
Compiled 160 to 95 computations (40.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | beta | @ | 0 | (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) |
| 4.0ms | beta | @ | inf | (/.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)))) |
| 4.0ms | alpha | @ | 0 | (/.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)))) |
| 3.0ms | beta | @ | -inf | (/.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)))) |
| 3.0ms | alpha | @ | -inf | (/.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)))) |
| 1× | batch-egg-rewrite |
| 598× | +-commutative |
| 510× | add-sqr-sqrt |
| 496× | *-un-lft-identity |
| 494× | pow1 |
| 476× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 147 |
| 1 | 479 | 141 |
| 2 | 7513 | 141 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) |
(pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2) |
(/.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)))) |
| 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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(#(struct:change #<rule egg-rr> (2) ((x 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 alpha (+.f64 beta 2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x 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 alpha (+.f64 beta 2)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x 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 alpha (+.f64 beta 2))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta 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 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(+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))))) |
| 1× | egg-herbie |
| 1172× | +-commutative |
| 1118× | associate-/l* |
| 1086× | associate-*r* |
| 1066× | *-commutative |
| 808× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 915 | 30698 |
| 1 | 3132 | 30452 |
| 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 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.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 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.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 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 4))))))) (*.f64 -2 (/.f64 alpha beta))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 2 alpha)) beta)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) (+.f64 2 alpha))) (pow.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) 2)) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 2 alpha)) beta))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) (+.f64 2 alpha))) (pow.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) 2)) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) 2) (+.f64 2 alpha)) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 2 alpha)) beta))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 2 (*.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 2 (*.f64 (pow.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) (+.f64 2 alpha))) (pow.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) 2)) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) 2) (+.f64 2 alpha)) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 2 alpha)) beta)))))) |
(-.f64 1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 beta 2)))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 beta 2))) (*.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)))) (pow.f64 alpha 2))))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 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)))) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 beta 2))) (*.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)))) (pow.f64 alpha 2)))))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) |
(*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) |
(+.f64 (*.f64 -1 (/.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 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha))) |
(+.f64 (*.f64 -1 (/.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 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)))) |
(+.f64 (*.f64 -1 (/.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 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4)))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta)) alpha)) |
(+.f64 (*.f64 -1 (/.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 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta)) alpha))) |
(+.f64 (*.f64 -1 (/.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 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 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta)) alpha)) (*.f64 2 (/.f64 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2)) (pow.f64 alpha 3)))))) |
(+.f64 (*.f64 -1 (/.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 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 (*.f64 2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta)) alpha)) (*.f64 2 (/.f64 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2)) (pow.f64 alpha 3))))))) |
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(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha) |
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(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (*.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 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2))) (*.f64 -1/2 (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 beta (*.f64 -1 (+.f64 beta 2))))))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (-.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))))))) |
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(*.f64 -1/2 (/.f64 (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta)) alpha)) |
(-.f64 (+.f64 (*.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 -1/2 (/.f64 (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta)) alpha))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (+.f64 beta 2) (*.f64 -1 beta)) (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta))) (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 1/4 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta)))) (*.f64 1/2 (*.f64 (-.f64 (+.f64 beta 2) (*.f64 -1 beta)) (-.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2))) (*.f64 1/4 (*.f64 (-.f64 (+.f64 beta 2) (*.f64 -1 beta)) (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta))))))))) (pow.f64 alpha 3))) (+.f64 (*.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 -1/2 (/.f64 (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta)) alpha)))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (+.f64 beta 2) (*.f64 -1 beta)) (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta))) (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 1/4 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta)))) (*.f64 1/2 (*.f64 (-.f64 (+.f64 beta 2) (*.f64 -1 beta)) (-.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2))) (*.f64 1/4 (*.f64 (-.f64 (+.f64 beta 2) (*.f64 -1 beta)) (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta))))))))) (pow.f64 alpha 3))) (+.f64 (*.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 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta)) alpha))))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (-.f64 (+.f64 beta 2) (*.f64 -1 beta)) (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta))) (pow.f64 alpha 2))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta)) (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (+.f64 beta 2) (*.f64 -1 beta)) (-.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))))) (+.f64 (*.f64 1/4 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta)))) (*.f64 1/2 (*.f64 (-.f64 (+.f64 beta 2) (*.f64 -1 beta)) (-.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2))) (*.f64 1/4 (*.f64 (-.f64 (+.f64 beta 2) (*.f64 -1 beta)) (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta)))))))))) (pow.f64 alpha 4))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (-.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2))) (*.f64 1/4 (*.f64 (-.f64 (+.f64 beta 2) (*.f64 -1 beta)) (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta)))))) (pow.f64 alpha 4))))))) |
(+.f64 1 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) |
(+.f64 1 (*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) 1)) |
(+.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) 1) |
(+.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) 1) 1) |
(*.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) |
(*.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))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)))) |
(*.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)) |
(*.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)))) |
(*.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)))) |
(*.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) (-.f64 -2 (+.f64 beta alpha))) 4))))) |
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 4)))) |
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(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta 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 alpha (+.f64 beta 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 alpha (+.f64 beta 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 alpha (+.f64 beta 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 alpha (+.f64 beta 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 alpha (+.f64 beta 2))))))) |
(exp.f64 (log.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 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 alpha (+.f64 beta 2)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)))) -1)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 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 alpha (+.f64 beta 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 1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))) |
(-.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 1 (-.f64 (*.f64 2 (/.f64 (*.f64 beta (*.f64 alpha (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))))) (+.f64 alpha 2))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)))) |
(+.f64 1 (-.f64 (/.f64 (*.f64 2 beta) (/.f64 (/.f64 (+.f64 alpha 2) alpha) (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha)))) |
(-.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 1 (-.f64 (fma.f64 2 (/.f64 (*.f64 beta (*.f64 alpha (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))))) (+.f64 alpha 2)) (neg.f64 (*.f64 (*.f64 beta 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))))))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)))) |
(+.f64 (fma.f64 2 (/.f64 beta (/.f64 (/.f64 (+.f64 alpha 2) alpha) (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))))) (*.f64 (+.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)))) (*.f64 (neg.f64 beta) beta))) (-.f64 1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha)))) |
(-.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 1 (-.f64 (fma.f64 2 (/.f64 (*.f64 beta (*.f64 alpha (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))))) (+.f64 alpha 2)) (*.f64 -1 (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 (*.f64 beta 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)))))))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)))) |
(+.f64 1 (-.f64 (fma.f64 2 (/.f64 beta (/.f64 (/.f64 (+.f64 alpha 2) alpha) (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))))) (*.f64 -1 (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))))))))) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha)))) |
(/.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 -2 alpha)) beta) |
(/.f64 (+.f64 4 (-.f64 (*.f64 alpha 2) (*.f64 alpha -2))) 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 (fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 beta beta)) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta))) (*.f64 2 (/.f64 alpha beta))) |
(+.f64 (/.f64 alpha (/.f64 beta 2)) (fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 beta beta)) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 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 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.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 (fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 beta beta)) (+.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta)) (neg.f64 (/.f64 (fma.f64 2 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (*.f64 -2 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)))) (pow.f64 beta 3))))) (*.f64 2 (/.f64 alpha beta))) |
(+.f64 (/.f64 alpha (/.f64 beta 2)) (+.f64 (fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 beta beta)) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta))) (neg.f64 (/.f64 (fma.f64 2 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (*.f64 (+.f64 alpha 2) (*.f64 -2 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)))) (pow.f64 beta 3))))) |
(-.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 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.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 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 4))))))) (*.f64 -2 (/.f64 alpha beta))) |
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 beta beta)) (+.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta)) (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (*.f64 -2 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)))) (pow.f64 beta 3)) (neg.f64 (/.f64 (fma.f64 -2 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (*.f64 3 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)))) (pow.f64 beta 4)))))) (*.f64 2 (/.f64 alpha beta))) |
(+.f64 (/.f64 alpha (/.f64 beta 2)) (+.f64 (fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 beta beta)) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta))) (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (*.f64 (+.f64 alpha 2) (*.f64 -2 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)))) (pow.f64 beta 3)) (neg.f64 (/.f64 (fma.f64 -2 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (*.f64 3 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)))) (pow.f64 beta 4)))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 2 alpha)) beta)) |
(neg.f64 (/.f64 (+.f64 (+.f64 -4 (*.f64 alpha -2)) (*.f64 alpha -2)) beta)) |
(neg.f64 (/.f64 (+.f64 -4 (-.f64 (*.f64 alpha -2) (*.f64 alpha 2))) beta)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) (+.f64 2 alpha))) (pow.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) 2)) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 2 alpha)) beta))) |
(*.f64 -1 (+.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 alpha 2) (-.f64 alpha (+.f64 -2 (neg.f64 alpha)))) (pow.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) 2)) (*.f64 beta beta)) (/.f64 (+.f64 (+.f64 -4 (*.f64 alpha -2)) (*.f64 alpha -2)) beta))) |
(fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (+.f64 alpha 2) (-.f64 alpha (+.f64 -2 (neg.f64 alpha)))) (pow.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) 2)) (*.f64 beta beta)) (neg.f64 (/.f64 (+.f64 -4 (-.f64 (*.f64 alpha -2) (*.f64 alpha 2))) beta))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) (+.f64 2 alpha))) (pow.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) 2)) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) 2) (+.f64 2 alpha)) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 2 alpha)) beta))))) |
(fma.f64 2 (/.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (+.f64 alpha 2) (-.f64 alpha (+.f64 -2 (neg.f64 alpha)))) (pow.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) 2)) (*.f64 beta beta)) (fma.f64 2 (/.f64 (pow.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) 2) (/.f64 (pow.f64 beta 3) (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 (+.f64 -4 (*.f64 alpha -2)) (*.f64 alpha -2)) beta))))) |
(fma.f64 2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 alpha (+.f64 -2 (neg.f64 alpha))))) (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (+.f64 alpha 2) (-.f64 alpha (+.f64 -2 (neg.f64 alpha)))) (pow.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) 2)) (*.f64 beta beta)) (fma.f64 2 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 3) (pow.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) 2))) (neg.f64 (/.f64 (+.f64 -4 (-.f64 (*.f64 alpha -2) (*.f64 alpha 2))) beta))))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 2 (*.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 2 (*.f64 (pow.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) (+.f64 2 alpha))) (pow.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) 2)) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) 2) (+.f64 2 alpha)) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 2 alpha)) beta)))))) |
(fma.f64 2 (/.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 -1 (/.f64 (fma.f64 (pow.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) 2) (pow.f64 (+.f64 alpha 2) 2) (*.f64 2 (+.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (-.f64 alpha (+.f64 -2 (neg.f64 alpha)))) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) 2))))) (pow.f64 beta 4)) (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (+.f64 alpha 2) (-.f64 alpha (+.f64 -2 (neg.f64 alpha)))) (pow.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) 2)) (*.f64 beta beta)) (fma.f64 2 (/.f64 (pow.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) 2) (/.f64 (pow.f64 beta 3) (+.f64 alpha 2))) (neg.f64 (/.f64 (+.f64 (+.f64 -4 (*.f64 alpha -2)) (*.f64 alpha -2)) beta)))))) |
(fma.f64 2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 alpha (+.f64 -2 (neg.f64 alpha))))) (fma.f64 -1 (/.f64 (fma.f64 (pow.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) 2) (pow.f64 (+.f64 alpha 2) 2) (*.f64 2 (+.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) 2)) (*.f64 (pow.f64 (+.f64 alpha 2) 3) (-.f64 alpha (+.f64 -2 (neg.f64 alpha))))))) (pow.f64 beta 4)) (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (+.f64 alpha 2) (-.f64 alpha (+.f64 -2 (neg.f64 alpha)))) (pow.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) 2)) (*.f64 beta beta)) (fma.f64 2 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 3) (pow.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) 2))) (neg.f64 (/.f64 (+.f64 -4 (-.f64 (*.f64 alpha -2) (*.f64 alpha 2))) beta)))))) |
(-.f64 1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) |
(-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) |
(-.f64 1 (*.f64 beta (/.f64 beta (pow.f64 (+.f64 2 beta) 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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(-.f64 (+.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 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))))) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta))) |
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1 |
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(/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) |
(/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) |
(*.f64 beta (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) |
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1 |
(+.f64 (*.f64 -2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) 1) |
(fma.f64 -2 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) 1) |
(fma.f64 -2 (/.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) alpha) 1) |
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(fma.f64 -2 (/.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) alpha) (fma.f64 -2 (/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (-.f64 beta (+.f64 -2 (neg.f64 beta))))) (+.f64 1 (fma.f64 -2 (/.f64 (pow.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) 2) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta))) (fma.f64 2 (/.f64 (+.f64 2 beta) (/.f64 (*.f64 alpha alpha) (-.f64 beta (+.f64 -2 (neg.f64 beta))))) (/.f64 (pow.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) 2) (*.f64 alpha alpha))))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2))) alpha))) |
(+.f64 1 (neg.f64 (/.f64 (+.f64 (*.f64 2 beta) (*.f64 2 (+.f64 2 beta))) alpha))) |
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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 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (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 beta (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (-.f64 1 (/.f64 beta (+.f64 2 beta))) (-.f64 (*.f64 2 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (*.f64 (+.f64 2 beta) (-.f64 1 (/.f64 beta (+.f64 2 beta)))) beta))) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (pow.f64 (-.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (-.f64 1 (*.f64 beta (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))))))) (*.f64 alpha alpha) (fma.f64 (-.f64 (*.f64 2 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (*.f64 (+.f64 2 beta) (-.f64 1 (/.f64 beta (+.f64 2 beta)))) beta))) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (pow.f64 (-.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (-.f64 1 (*.f64 beta (/.f64 beta (pow.f64 (+.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 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (-.f64 1 (/.f64 beta (+.f64 2 beta))) (-.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 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (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 beta (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (-.f64 1 (/.f64 beta (+.f64 2 beta))) (-.f64 (*.f64 2 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (*.f64 (+.f64 2 beta) (-.f64 1 (/.f64 beta (+.f64 2 beta)))) beta))) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (pow.f64 (-.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (-.f64 1 (*.f64 beta (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))))))))) (+.f64 (/.f64 (-.f64 1 (*.f64 beta (/.f64 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 2 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (*.f64 (+.f64 2 beta) (-.f64 1 (/.f64 beta (+.f64 2 beta)))) beta))) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (pow.f64 (-.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (-.f64 1 (*.f64 beta (/.f64 beta (pow.f64 (+.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 (/.f64 beta (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 beta (+.f64 -2 (neg.f64 beta))) alpha) |
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(+.f64 (/.f64 beta alpha) (-.f64 (*.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (*.f64 alpha alpha)) -1/2) (fma.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) (/.f64 (*.f64 alpha alpha) (-.f64 beta (+.f64 (neg.f64 beta) -2)))) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)))) |
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(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (*.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 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2))) (*.f64 -1/2 (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 beta (*.f64 -1 (+.f64 beta 2))))))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (-.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))))))) |
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(*.f64 -1/2 (/.f64 (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta)) alpha)) |
(*.f64 (/.f64 (+.f64 (+.f64 (*.f64 -2 beta) -4) (*.f64 -2 beta)) alpha) -1/2) |
(*.f64 (/.f64 (+.f64 (+.f64 (*.f64 beta -2) -4) (*.f64 beta -2)) alpha) -1/2) |
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(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
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(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(exp.f64 (log.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))) 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 alpha (+.f64 beta 2)))))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))) 2))) (log1p.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)))) -1)) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 1)) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))) 2)) (-.f64 1 (/.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 alpha (+.f64 beta 2))))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
Compiled 50646 to 36648 computations (27.6% saved)
17 alts after pruning (6 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 947 | 2 | 949 |
| Fresh | 0 | 4 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 11 | 12 |
| Total | 949 | 17 | 966 |
| Status | Error | Program |
|---|---|---|
| 49.4% | (/.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)))))) 3) 2) | |
| ✓ | 50.0% | (/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) |
| ✓ | 26.6% | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
| ✓ | 19.9% | (/.f64 (/.f64 2 alpha) 2) |
| 49.5% | (/.f64 (/.f64 1 (/.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) 2) | |
| 23.1% | (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (/.f64 (fma.f64 beta -1 (-.f64 -2 beta)) alpha)) 2) | |
| 18.2% | (/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) | |
| ✓ | 50.1% | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| ✓ | 47.7% | (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
| ✓ | 77.3% | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
| ✓ | 75.4% | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| ✓ | 46.5% | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| 34.3% | (/.f64 (+.f64 (*.f64 -1 (/.f64 2 (/.f64 beta alpha))) 2) 2) | |
| 10.8% | (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) | |
| ✓ | 50.1% | (/.f64 (log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2) |
| ✓ | 38.7% | (/.f64 2 2) |
| ✓ | 49.8% | (/.f64 1 2) |
Compiled 253 to 193 computations (23.7% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (+.f64 (/.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 -1 (/.f64 2 (/.f64 beta alpha))) 2) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 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 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 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 1 (/.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) 2) |
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (/.f64 (fma.f64 beta -1 (-.f64 -2 beta)) 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 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)))) 2) |
(/.f64 (log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2) |
(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 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)))))) 3) 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:
| 180.0ms | beta |
| 110.0ms | alpha |
| 29.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 11.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 10.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| Error | Segments | Branch |
|---|---|---|
| 92.1% | 2 | alpha |
| 79.2% | 3 | beta |
| 99.9% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 99.9% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 99.9% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 431 to 293 computations (32% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999999999118 | -0.96538036374561 |
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 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 (+.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 -1 (/.f64 2 (/.f64 beta alpha))) 2) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
2 calls:
| 95.0ms | alpha |
| 45.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 90.3% | 2 | alpha |
| 77.3% | 3 | beta |
Compiled 107 to 86 computations (19.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 9.658618111932282e+19 | 1.4690509257446485e+22 |
| 21.0ms | 112× | body | 256 | valid |
Compiled 188 to 155 computations (17.6% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
2 calls:
| 134.0ms | alpha |
| 32.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 85.0% | 4 | alpha |
| 77.3% | 3 | beta |
Compiled 63 to 52 computations (17.5% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 41.0ms | 9.336253750180865e+134 | 7.380995387257246e+137 |
| 9.0ms | 9.118067045163995e+110 | 1.0241316797511224e+111 |
| 22.0ms | 9.658618111932282e+19 | 1.4690509257446485e+22 |
| 37.0ms | 115× | body | 512 | valid |
| 28.0ms | 157× | body | 256 | valid |
Compiled 360 to 304 computations (15.6% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 2 2) |
2 calls:
| 66.0ms | beta |
| 47.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 66.8% | 4 | alpha |
| 75.7% | 4 | beta |
Compiled 45 to 38 computations (15.6% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 53.0ms | 0.05525238354536461 | 2.1672285042835 |
| 29.0ms | -1.1063963174647077e-278 | -3.5403119596957434e-281 |
| 52.0ms | -1.772101978390271e-231 | -3.1056949059890337e-268 |
| 54.0ms | 301× | body | 256 | valid |
| 40.0ms | 67× | body | 1024 | valid |
| 11.0ms | 41× | body | 512 | valid |
| 3.0ms | 7× | body | 2048 | valid |
Compiled 474 to 424 computations (10.5% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 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:
| 59.0ms | beta |
| 37.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 66.2% | 4 | alpha |
| 74.8% | 4 | beta |
Compiled 31 to 26 computations (16.1% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 0.05525238354536461 | 2.1672285042835 |
| 32.0ms | -1.1063963174647077e-278 | -3.5403119596957434e-281 |
| 59.0ms | -1.772101978390271e-231 | -3.1056949059890337e-268 |
| 46.0ms | 310× | body | 256 | valid |
| 25.0ms | 53× | body | 1024 | valid |
| 14.0ms | 44× | body | 512 | valid |
| 4.0ms | 9× | body | 2048 | valid |
Compiled 370 to 346 computations (6.5% saved)
Total -44.6b remaining (-257.5%)
Threshold costs -44.60b (-257.5%)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
| Outputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
2 calls:
| 51.0ms | alpha |
| 10.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 56.7% | 2 | alpha |
| 72.9% | 2 | beta |
Compiled 19 to 17 computations (10.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 0.05525238354536461 | 2.1672285042835 |
| 11.0ms | 80× | body | 256 | valid |
| 7.0ms | 19× | body | 1024 | valid |
| 3.0ms | 13× | body | 512 | valid |
Compiled 104 to 99 computations (4.8% saved)
| 1× | egg-herbie |
| 18× | +-commutative |
| 6× | *-commutative |
| 4× | sub-neg |
| 4× | not-or |
| 4× | if-if-or-not |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 385 |
| 1 | 85 | 367 |
| 2 | 92 | 367 |
| 3 | 97 | 363 |
| 4 | 99 | 363 |
| 5 | 100 | 363 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -2206763817411543/2251799813685248) (/.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 132000000000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)) |
(if (<=.f64 alpha 145000000000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (if (<=.f64 alpha 999999999999999956819772641641815758405104477258378281795396215622882607621111488153942930947432322044748890112) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 alpha 1750000000000000134940230698715878327904847151219676697037722280829512646992659688421430962853758811086272231776699205339730017792294912) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2)))) |
(if (<=.f64 beta -8178592996627807/18587711355972288284975781226873757001640752520742430738197148241449258214505054669314603931201954382372484047377412163130682315569311321347385382263779932822287135505593248424283580122928721710877989947279392965075846858835973501101963736754358226037650563818176798910297066860183552) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta -2299208036583997/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2)))) |
(if (<=.f64 beta -6133944747470855/18587711355972288284975781226873757001640752520742430738197148241449258214505054669314603931201954382372484047377412163130682315569311321347385382263779932822287135505593248424283580122928721710877989947279392965075846858835973501101963736754358226037650563818176798910297066860183552) (/.f64 1 2) (if (<=.f64 beta -3512678944781107/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 4278419646001971/2251799813685248) (/.f64 1 2) (/.f64 2 2)))) |
(if (<=.f64 beta 2308094809027379/1125899906842624) (/.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 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)) -2206763817411543/2251799813685248) (/.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 132000000000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)) |
(if (<=.f64 alpha 132000000000000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)) |
(if (<=.f64 alpha 145000000000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (if (<=.f64 alpha 999999999999999956819772641641815758405104477258378281795396215622882607621111488153942930947432322044748890112) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 alpha 1750000000000000134940230698715878327904847151219676697037722280829512646992659688421430962853758811086272231776699205339730017792294912) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2)))) |
(if (<=.f64 alpha 145000000000000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (if (or (<=.f64 alpha 999999999999999956819772641641815758405104477258378281795396215622882607621111488153942930947432322044748890112) (not (<=.f64 alpha 1750000000000000134940230698715878327904847151219676697037722280829512646992659688421430962853758811086272231776699205339730017792294912))) (/.f64 (/.f64 2 alpha) 2) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) |
(if (or (<=.f64 alpha 145000000000000000000) (not (or (<=.f64 alpha 999999999999999956819772641641815758405104477258378281795396215622882607621111488153942930947432322044748890112) (not (<=.f64 alpha 1750000000000000134940230698715878327904847151219676697037722280829512646992659688421430962853758811086272231776699205339730017792294912))))) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2)) |
(if (or (<=.f64 alpha 145000000000000000000) (and (not (<=.f64 alpha 999999999999999956819772641641815758405104477258378281795396215622882607621111488153942930947432322044748890112)) (<=.f64 alpha 1750000000000000134940230698715878327904847151219676697037722280829512646992659688421430962853758811086272231776699205339730017792294912))) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2)) |
(if (<=.f64 beta -8178592996627807/18587711355972288284975781226873757001640752520742430738197148241449258214505054669314603931201954382372484047377412163130682315569311321347385382263779932822287135505593248424283580122928721710877989947279392965075846858835973501101963736754358226037650563818176798910297066860183552) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta -2299208036583997/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2)))) |
(if (<=.f64 beta -8178592996627807/18587711355972288284975781226873757001640752520742430738197148241449258214505054669314603931201954382372484047377412163130682315569311321347385382263779932822287135505593248424283580122928721710877989947279392965075846858835973501101963736754358226037650563818176798910297066860183552) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta -2299208036583997/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) 1))) |
(if (<=.f64 beta -6133944747470855/18587711355972288284975781226873757001640752520742430738197148241449258214505054669314603931201954382372484047377412163130682315569311321347385382263779932822287135505593248424283580122928721710877989947279392965075846858835973501101963736754358226037650563818176798910297066860183552) (/.f64 1 2) (if (<=.f64 beta -3512678944781107/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 4278419646001971/2251799813685248) (/.f64 1 2) (/.f64 2 2)))) |
(if (<=.f64 beta -6133944747470855/18587711355972288284975781226873757001640752520742430738197148241449258214505054669314603931201954382372484047377412163130682315569311321347385382263779932822287135505593248424283580122928721710877989947279392965075846858835973501101963736754358226037650563818176798910297066860183552) 1/2 (if (<=.f64 beta -3512678944781107/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 4278419646001971/2251799813685248) 1/2 1))) |
(if (<=.f64 beta 2308094809027379/1125899906842624) (/.f64 1 2) (/.f64 2 2)) |
(if (<=.f64 beta 2308094809027379/1125899906842624) 1/2 1) |
(/.f64 1 2) |
1/2 |
Compiled 156 to 122 computations (21.8% 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 |
Compiled 28 to 19 computations (32.1% saved)
Compiled 144 to 110 computations (23.6% saved)
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