Time bar (total: 10.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 56.2% | 43.8% | 0% | 0% | 0% | 0 |
| 0% | 0% | 56.2% | 43.8% | 0% | 0% | 0% | 1 |
| 0% | 0% | 56.2% | 43.8% | 0% | 0% | 0% | 2 |
| 25% | 14% | 42.1% | 43.8% | 0% | 0% | 0% | 3 |
| 37.5% | 21.1% | 35.1% | 43.8% | 0% | 0% | 0% | 4 |
| 56.3% | 31.6% | 24.6% | 43.8% | 0% | 0% | 0% | 5 |
| 65.6% | 36.9% | 19.3% | 43.8% | 0% | 0% | 0% | 6 |
| 76.6% | 43% | 13.2% | 43.8% | 0% | 0% | 0% | 7 |
| 82% | 46.1% | 10.1% | 43.8% | 0% | 0% | 0% | 8 |
| 87.9% | 49.4% | 6.8% | 43.8% | 0% | 0% | 0% | 9 |
| 90.8% | 51% | 5.2% | 43.8% | 0% | 0% | 0% | 10 |
| 93.8% | 52.7% | 3.5% | 43.8% | 0% | 0% | 0% | 11 |
| 95.4% | 53.6% | 2.6% | 43.8% | 0% | 0% | 0% | 12 |
Compiled 22 to 16 computations (27.3% saved)
| 998.0ms | 6491× | body | 256 | valid |
| 389.0ms | 1018× | body | 1024 | valid |
| 121.0ms | 639× | body | 512 | valid |
| 113.0ms | 108× | 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 |
|---|---|---|
| ▶ | 17.2b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
Compiled 15 to 11 computations (26.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) |
| ✓ | 1.9b | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
Compiled 50 to 23 computations (54% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | -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 | beta | @ | 0 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
| 1.0ms | alpha | @ | inf | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
| 1.0ms | beta | @ | 0 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) |
| 1× | batch-egg-rewrite |
| 1652× | associate-/l* |
| 1468× | associate-/r/ |
| 762× | associate-/l/ |
| 280× | +-commutative |
| 274× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 56 |
| 1 | 259 | 56 |
| 2 | 3844 | 56 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 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| 1× | egg-herbie |
| 924× | distribute-lft-in |
| 812× | distribute-rgt-in |
| 734× | *-commutative |
| 724× | +-commutative |
| 570× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 608 | 12724 |
| 1 | 2161 | 12284 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(/.f64 beta (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))) |
-1 |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2)))) 1) |
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 0) |
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1) |
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
(-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(*.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1) |
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(*.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1)) (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 3) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) |
(/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1))) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (-.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 3) 1) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1) |
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3) |
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3)) |
(expm1.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) |
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) |
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 0) |
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) |
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(+.f64 (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) |
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1) |
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) |
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) 1)) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2) |
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 1)) |
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) |
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (-.f64 -2 (+.f64 beta alpha)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (*.f64 (-.f64 beta alpha) (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (*.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 1 (-.f64 -2 (+.f64 beta alpha))) (neg.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (+.f64 beta (+.f64 alpha 2))) (cbrt.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (neg.f64 (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2))) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (-.f64 (-.f64 2 beta) alpha)) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (+.f64 (*.f64 beta beta) (-.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)) (*.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2))) (cbrt.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2))) |
(*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) 1) (neg.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 1) (/.f64 1 (+.f64 beta alpha))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (-.f64 beta alpha)) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta alpha) (/.f64 1 (-.f64 beta alpha)))) (-.f64 beta alpha)) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta alpha) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (-.f64 beta alpha)))) (sqrt.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta alpha) (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (-.f64 beta alpha)))) (cbrt.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (neg.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (-.f64 alpha beta)) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (neg.f64 (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))))) (-.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 alpha (+.f64 beta alpha)) 3))) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (-.f64 (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))) (*.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (sqrt.f64 (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (cbrt.f64 (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (-.f64 alpha 2))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 beta (-.f64 alpha 2)))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) |
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1) |
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3) |
(neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
| Outputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (*.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta beta))) (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) |
(fma.f64 -1 (/.f64 (*.f64 (+.f64 alpha 1) 2) beta) 2) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 (+.f64 alpha 1) 2) beta) 2) (+.f64 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) |
(-.f64 (+.f64 (+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 (+.f64 alpha 1) 2) beta) 2) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 beta 3) alpha))) (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (fma.f64 -1 (*.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 alpha 2)) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 (neg.f64 (+.f64 (*.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 alpha 2)) (/.f64 alpha beta))) (-.f64 (+.f64 2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (/.f64 beta (+.f64 2 beta))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta)))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))))) |
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(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))) |
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))))) |
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
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(-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) |
(-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
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(+.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (neg.f64 beta) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha)))) (+.f64 (+.f64 (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) (neg.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))) |
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) |
(/.f64 (neg.f64 (fma.f64 -1 beta (-.f64 -2 beta))) alpha) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) |
(*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) |
(fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 4)) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 4)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))))) |
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) |
(/.f64 (neg.f64 alpha) (+.f64 alpha 2)) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) |
(fma.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) |
(fma.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) |
(fma.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 1)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 (neg.f64 (+.f64 (*.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 alpha 2)) (/.f64 alpha beta))) (-.f64 (-.f64 1 (/.f64 2 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 (neg.f64 (+.f64 (*.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 alpha 2)) (/.f64 alpha beta))) (-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 1)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 (neg.f64 (+.f64 (*.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 alpha 2)) (/.f64 alpha beta))) (-.f64 (-.f64 1 (/.f64 2 beta)) (/.f64 alpha beta))) |
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(/.f64 beta (+.f64 beta 2)) |
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-1 |
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(-.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1)) |
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-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1) |
(fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) -1) |
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(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2) |
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 2) |
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(/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (-.f64 alpha beta))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (neg.f64 (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 (+.f64 alpha 2) beta)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (neg.f64 (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 alpha (+.f64 2 beta)))) (neg.f64 (fma.f64 beta beta (*.f64 alpha (-.f64 alpha beta))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))))) (-.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha)))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 (+.f64 alpha 2) beta)) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (-.f64 (*.f64 beta (pow.f64 beta 3)) (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha beta) 2)))) (-.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 alpha beta)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 alpha (+.f64 2 beta))) (-.f64 (pow.f64 beta 4) (*.f64 alpha (*.f64 (pow.f64 (+.f64 alpha beta) 2) alpha)))) (-.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 alpha beta)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 alpha (+.f64 beta alpha)) 3))) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (-.f64 (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))) (*.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 alpha (+.f64 alpha beta)) 3)) (/.f64 1 (+.f64 (+.f64 alpha 2) beta)))) (+.f64 (*.f64 beta (pow.f64 beta 3)) (*.f64 (*.f64 alpha (+.f64 alpha beta)) (-.f64 (*.f64 alpha (+.f64 alpha beta)) (*.f64 beta beta))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 (+.f64 (pow.f64 beta 6) (pow.f64 (*.f64 alpha (+.f64 alpha beta)) 3)) (+.f64 alpha (+.f64 2 beta)))) (+.f64 (pow.f64 beta 4) (*.f64 alpha (*.f64 (+.f64 alpha beta) (-.f64 (*.f64 alpha (+.f64 alpha beta)) (*.f64 beta beta)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (sqrt.f64 (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta)))) (sqrt.f64 (+.f64 beta (+.f64 alpha -2)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) (sqrt.f64 (+.f64 alpha (+.f64 -2 beta)))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (cbrt.f64 (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2))) (cbrt.f64 (+.f64 beta (+.f64 alpha -2)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) (cbrt.f64 (+.f64 alpha (+.f64 -2 beta)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))) (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (*.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 beta (-.f64 alpha 2)))) |
(/.f64 (*.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 beta (+.f64 alpha -2)))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) |
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (/.f64 (*.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (+.f64 -2 beta))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2))) |
(*.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) |
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) |
(/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (-.f64 alpha 2))) |
(*.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) |
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))) |
(*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) |
(/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (*.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))))) |
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))) (/.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 beta (-.f64 alpha 2)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha 2) beta)) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (*.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))))) |
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))) (/.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) |
(/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 (-.f64 -2 beta) alpha)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
Compiled 12222 to 7914 computations (35.2% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 346 | 8 | 354 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 347 | 8 | 355 |
| Status | Error | Program |
|---|---|---|
| ▶ | 17.5b | (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2) |
| ▶ | 44.3b | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
| 35.4b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) | |
| ▶ | 18.8b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| 61.5b | (/.f64 (+.f64 -1 1) 2) | |
| ▶ | 38.0b | (/.f64 (*.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)) 2) |
| 46.0b | (/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2) | |
| ▶ | 37.3b | (/.f64 2 2) |
Compiled 244 to 190 computations (22.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 17.5b | (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) |
Compiled 50 to 31 computations (38% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | inf | (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) |
| 1.0ms | alpha | @ | -inf | (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) |
| 1.0ms | beta | @ | 0 | (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) |
| 1.0ms | alpha | @ | 0 | (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) |
| 1.0ms | beta | @ | inf | (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) |
| 1× | batch-egg-rewrite |
| 1812× | associate-*l/ |
| 1318× | distribute-lft-in |
| 606× | associate-/r* |
| 420× | associate-/r/ |
| 346× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 33 |
| 1 | 269 | 31 |
| 2 | 3663 | 31 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (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 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 1 (/.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 beta (+.f64 alpha 2)))))))))) |
| 1× | egg-herbie |
| 1406× | associate-*r* |
| 1214× | associate-*l* |
| 1030× | +-commutative |
| 852× | associate-/l* |
| 690× | associate-/r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 211 | 3400 |
| 1 | 641 | 3252 |
| 2 | 2561 | 3230 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) |
(+.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 -1 (/.f64 alpha (+.f64 2 alpha)))))) |
(+.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 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))))))) |
2 |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3))))))))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 3)) (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.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 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 2 (/.f64 1 alpha))))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -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 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 2 (/.f64 1 alpha))))))))) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1) |
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 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 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(exp.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
| Outputs |
|---|
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 1 (neg.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (+.f64 1 (neg.f64 (/.f64 alpha (+.f64 alpha 2))))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (/.f64 alpha (+.f64 alpha 2))) |
(+.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 -1 (/.f64 alpha (+.f64 2 alpha)))))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (+.f64 1 (fma.f64 (*.f64 beta beta) (-.f64 (neg.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (neg.f64 (/.f64 alpha (+.f64 alpha 2)))))) |
(+.f64 (-.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 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 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))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1)) |
(+.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 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))))))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (+.f64 1 (fma.f64 (*.f64 beta beta) (-.f64 (neg.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 -1 (/.f64 alpha (+.f64 alpha 2)) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))))) |
(+.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))) (-.f64 (*.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)))) (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1)) |
(+.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))) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1)) |
2 |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))) |
(fma.f64 -1 (/.f64 alpha beta) (+.f64 2 (neg.f64 (/.f64 (+.f64 alpha 2) beta)))) |
(-.f64 (-.f64 2 (/.f64 (+.f64 alpha 2) beta)) (/.f64 alpha beta)) |
(+.f64 (/.f64 (-.f64 -2 alpha) beta) (-.f64 2 (/.f64 alpha beta))) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) |
(fma.f64 -1 (/.f64 alpha beta) (+.f64 2 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))))) |
(+.f64 (-.f64 (-.f64 2 (/.f64 (+.f64 alpha 2) beta)) (/.f64 alpha beta)) (+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(+.f64 (+.f64 (/.f64 (-.f64 -2 alpha) beta) (-.f64 2 (/.f64 alpha beta))) (+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3))))))))) |
(fma.f64 -1 (/.f64 alpha beta) (+.f64 2 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))))))) |
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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)) |
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(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (fma.f64 2 beta 2) alpha) |
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(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) |
(neg.f64 (/.f64 (*.f64 -1 (+.f64 beta (+.f64 2 beta))) alpha)) |
(/.f64 (*.f64 1 (+.f64 (+.f64 beta beta) 2)) alpha) |
(/.f64 (*.f64 1 (fma.f64 2 beta 2)) alpha) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) |
(fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (*.f64 -1 (+.f64 (/.f64 (*.f64 -1 (+.f64 beta (+.f64 2 beta))) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))) |
(-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 -1 beta -2) beta) (*.f64 alpha alpha)) (/.f64 (-.f64 (fma.f64 -1 beta -2) beta) alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) |
(-.f64 (-.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (-.f64 -2 beta)) (/.f64 (neg.f64 (fma.f64 2 beta 2)) alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) |
(fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 beta (+.f64 2 beta))) alpha) (*.f64 -1 (+.f64 (/.f64 (*.f64 -1 (+.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (+.f64 beta beta) 2))) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (-.f64 (fma.f64 -1 beta -2) beta) alpha)) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))) |
(-.f64 (-.f64 (-.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (-.f64 -2 beta)) (/.f64 (neg.f64 (fma.f64 2 beta 2)) alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (neg.f64 (fma.f64 2 beta 2))) (pow.f64 alpha 3))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))))) |
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(-.f64 (-.f64 (-.f64 (-.f64 (-.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (+.f64 beta beta) 2))) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (-.f64 (fma.f64 -1 beta -2) beta) alpha)) (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3)))) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))) |
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(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1) |
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(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
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(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
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(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) -1)) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) -1) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (-.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 1) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) -1)) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) -1) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (-.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 1) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2)) |
(fabs.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(exp.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1)) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.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 |
|---|---|---|
| ✓ | 0.0b | (/.f64 beta (+.f64 beta 2)) |
Compiled 29 to 21 computations (27.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | beta | @ | 0 | (/.f64 beta (+.f64 beta 2)) |
| 0.0ms | beta | @ | inf | (/.f64 beta (+.f64 beta 2)) |
| 0.0ms | beta | @ | -inf | (/.f64 beta (+.f64 beta 2)) |
| 1× | batch-egg-rewrite |
| 1564× | add-sqr-sqrt |
| 1540× | *-un-lft-identity |
| 1452× | add-cube-cbrt |
| 1438× | add-cbrt-cube |
| 1428× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 137 | 13 |
| 2 | 1864 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 beta (+.f64 beta 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 2)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta 2) beta) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2)))))))) |
| 1× | egg-herbie |
| 1540× | associate-*r* |
| 1304× | associate-*l* |
| 866× | associate-+r+ |
| 854× | distribute-lft-in |
| 816× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 1249 |
| 1 | 309 | 1061 |
| 2 | 1107 | 907 |
| 3 | 5906 | 907 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 beta) |
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2))) |
(+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))) |
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1) |
(*.f64 beta (/.f64 1 (+.f64 beta 2))) |
(*.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(*.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2)))) |
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (+.f64 beta 2)) beta) |
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2)) |
(*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))) |
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2))) |
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2) |
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3) |
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1) |
(neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2))) |
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) |
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2)))) |
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) |
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2)))) |
| Outputs |
|---|
(*.f64 1/2 beta) |
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2))) |
(fma.f64 1/2 beta (*.f64 -1/4 (*.f64 beta beta))) |
(fma.f64 1/2 beta (*.f64 beta (*.f64 beta -1/4))) |
(*.f64 beta (+.f64 1/2 (*.f64 beta -1/4))) |
(+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))) |
(fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3)))) |
(fma.f64 1/2 beta (*.f64 (*.f64 beta beta) (+.f64 -1/4 (*.f64 beta 1/8)))) |
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))) |
(fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3))))) |
(fma.f64 1/2 beta (fma.f64 -1/16 (pow.f64 beta 4) (*.f64 (*.f64 beta beta) (+.f64 -1/4 (*.f64 beta 1/8))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 beta))) |
(-.f64 1 (/.f64 2 beta)) |
(+.f64 1 (/.f64 -2 beta)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta))) |
(+.f64 (+.f64 1 (/.f64 -2 beta)) (/.f64 4 (*.f64 beta beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -8 (pow.f64 beta 3))) (/.f64 -2 beta))) |
(+.f64 1 (+.f64 (/.f64 -2 beta) (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -8 (pow.f64 beta 3))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 beta))) |
(-.f64 1 (/.f64 2 beta)) |
(+.f64 1 (/.f64 -2 beta)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta))) |
(+.f64 (+.f64 1 (/.f64 -2 beta)) (/.f64 4 (*.f64 beta beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -8 (pow.f64 beta 3))) (/.f64 -2 beta))) |
(+.f64 1 (+.f64 (/.f64 -2 beta) (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -8 (pow.f64 beta 3))))) |
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 beta (/.f64 1 (+.f64 beta 2))) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2)))) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2)) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2)))) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (/.f64 1 (+.f64 beta 2)) beta) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2))) |
(/.f64 (neg.f64 beta) (-.f64 -2 beta)) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2)))) |
(/.f64 (/.f64 beta (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2))) |
(/.f64 beta (*.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2)))) |
(/.f64 (/.f64 beta (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) |
(/.f64 beta (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2)) |
(*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))) |
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))) |
(/.f64 (*.f64 beta (fma.f64 beta beta (fma.f64 beta -2 4))) (+.f64 (pow.f64 beta 3) 8)) |
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2))) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2)))) |
(/.f64 (/.f64 beta (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) |
(/.f64 beta (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2))) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2)))) |
(/.f64 (/.f64 beta (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2))) |
(/.f64 beta (*.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))) |
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2))) |
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2))) |
(/.f64 (neg.f64 beta) (-.f64 -2 beta)) |
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
Compiled 29 to 21 computations (27.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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 | @ | 0 | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 0.0ms | alpha | @ | -inf | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 0.0ms | beta | @ | -inf | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 1× | batch-egg-rewrite |
| 1958× | add-sqr-sqrt |
| 1936× | *-un-lft-identity |
| 1814× | add-cube-cbrt |
| 1796× | add-cbrt-cube |
| 178× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 176 | 15 |
| 2 | 2351 | 15 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 beta 2) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 2 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (fma.f64 2 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))))))) |
| 1× | egg-herbie |
| 1000× | associate-+r+ |
| 782× | associate-+l+ |
| 750× | *-commutative |
| 578× | associate-*r/ |
| 400× | associate-*l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 972 |
| 1 | 214 | 960 |
| 2 | 838 | 732 |
| 3 | 3745 | 732 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 2 (/.f64 beta alpha)) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 2 (/.f64 beta alpha)) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) 1) |
(*.f64 (fma.f64 2 beta 2) (/.f64 1 alpha)) |
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1) |
(*.f64 1 (/.f64 (fma.f64 2 beta 2) alpha)) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))) |
(*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) |
(*.f64 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 (neg.f64 alpha))) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha)) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3) |
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1) |
(neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha))) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2)) |
(log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha)))) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
| Outputs |
|---|
(/.f64 2 alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(*.f64 (/.f64 2 alpha) beta) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(*.f64 (/.f64 2 alpha) beta) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) 1) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (fma.f64 2 beta 2) (/.f64 1 alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 1 (/.f64 (fma.f64 2 beta 2) alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 (neg.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha))) |
(/.f64 (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (fma.f64 2 beta 2) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha))) |
(/.f64 (fma.f64 2 beta 2) (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha))) |
(/.f64 (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (fma.f64 2 beta 2) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha))) |
(/.f64 (fma.f64 2 beta 2) (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 (cbrt.f64 alpha) 2)) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha)))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 1)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) |
| ✓ | 0.0b | (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) |
| ✓ | 1.8b | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) |
| ✓ | 3.7b | (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) |
Compiled 131 to 79 computations (39.7% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | beta | @ | -inf | (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) |
| 1.0ms | beta | @ | inf | (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) |
| 1.0ms | alpha | @ | -inf | (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) |
| 1.0ms | beta | @ | 0 | (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) |
| 1.0ms | alpha | @ | inf | (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) |
| 1× | batch-egg-rewrite |
| 1666× | associate-/l* |
| 1142× | associate-/r/ |
| 360× | +-commutative |
| 338× | add-sqr-sqrt |
| 330× | *-un-lft-identity |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 124 |
| 1 | 319 | 124 |
| 2 | 4760 | 124 |
| 1× | node limit |
| Inputs |
|---|
(+.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) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) |
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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-2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) |
| 1× | egg-herbie |
| 1386× | associate-*r* |
| 1332× | associate-*l* |
| 1156× | +-commutative |
| 886× | associate-+r+ |
| 680× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1144 | 32613 |
| 1 | 3705 | 32521 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (*.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)))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.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 (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))))))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.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 (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 (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)))))))) 1) |
(/.f64 (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) beta) |
(-.f64 (+.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 2 (/.f64 alpha beta)) (*.f64 4 (/.f64 1 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 (*.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 2 (/.f64 alpha beta)) (*.f64 4 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 4)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 3))) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4)))))))))) (+.f64 (*.f64 4 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))) |
(*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 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 -1 alpha) (+.f64 2 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 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 -2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))))) (pow.f64 beta 3)))))) |
(+.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 (*.f64 2 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4))) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 -2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))))) (pow.f64 beta 3))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 4)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 4))))))))) |
(-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) 1) |
(-.f64 (+.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 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) 1) |
(-.f64 (+.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 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (*.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)))) 1) |
(-.f64 (+.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 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.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 (+.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))))) 1) |
(*.f64 -2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) |
(+.f64 (*.f64 -2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 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 -2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (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 -2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2))))))))) |
(*.f64 2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2)))) |
(+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (+.f64 beta 2)))) (pow.f64 alpha 3)))))) |
(+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 4)) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (+.f64 beta 2)))) (pow.f64 alpha 3))))))))) |
(*.f64 -1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 -1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) |
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(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
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(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 beta 4)))))) |
(/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (*.f64 -1 (/.f64 alpha beta))) (+.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)) (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)))) (+.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)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4)))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))) 1) |
(-.f64 (+.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)))) 1) |
(-.f64 (+.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 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))))) 1) |
-2 |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) (+.f64 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 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) (+.f64 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)))))) |
-2 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 2) |
(-.f64 (+.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)))) 2) |
(-.f64 (+.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))))) 2) |
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) |
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (*.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 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.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 (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 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.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 (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 (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)))))))) |
1 |
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 4 (/.f64 1 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 (+.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)))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 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 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 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 -2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))))) (pow.f64 beta 3))))))) |
(/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) |
(+.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 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) |
(+.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 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (*.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 (*.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 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.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 (+.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))))) |
1 |
(+.f64 (*.f64 -2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) 1) |
(+.f64 (*.f64 -2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2))))) |
(+.f64 (*.f64 -2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2)) (*.f64 2 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))))))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2))))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (+.f64 beta 2)))) (pow.f64 alpha 3))) (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 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 -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) |
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(-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1) |
(-.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1) 2) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 4) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1))) |
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(pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1) 1) |
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(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)) 3) |
(pow.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1) 3) 1/3) |
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(log.f64 (exp.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)))) |
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1) 3)) |
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(exp.f64 (log.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) |
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(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1) |
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(-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) |
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2) |
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) |
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)) |
(-.f64 (exp.f64 (log.f64 (+.f64 0 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 1) |
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(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1/2) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3) |
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) -1) |
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1/3) |
(neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)) |
(fabs.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) |
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
| Outputs |
|---|
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1) |
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) -1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (*.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)))) 1) |
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (*.f64 -2 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 alpha (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))))))) 1)) |
(+.f64 (*.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))) (+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) -1)) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.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 (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))))))) 1) |
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (fma.f64 -2 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 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 beta beta))) 1)) |
(+.f64 (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)) (*.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 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) -1)) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.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 (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 (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)))))))) 1) |
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (fma.f64 -2 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 alpha (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 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 (*.f64 2 (-.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 (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 beta beta)))) 1)) |
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (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 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 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 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) beta) |
(/.f64 (-.f64 (-.f64 (*.f64 alpha -2) 4) (*.f64 alpha 2)) beta) |
(-.f64 (+.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 2 (/.f64 alpha beta)) (*.f64 4 (/.f64 1 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))))))) (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 (*.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 2 (/.f64 alpha beta)) (*.f64 4 (/.f64 1 beta)))) |
(-.f64 (fma.f64 2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (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 (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 4)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 3))) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4)))))))))) (+.f64 (*.f64 4 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))) |
(-.f64 (fma.f64 -2 (/.f64 alpha beta) (+.f64 (+.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 2)))) (fma.f64 2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (fma.f64 2 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 -2 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (*.f64 -2 (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 3) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2))) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 3)))))))))) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta))) |
(-.f64 (fma.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)))) (fma.f64 2 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 -2 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (*.f64 -2 (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 3) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2))) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 3)))))))) (+.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 2)))))) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta))) |
(*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) |
(*.f64 2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 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 -1 alpha) (+.f64 2 alpha)) beta)))) |
(+.f64 (/.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))))))) |
(+.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 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 -2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))))) (pow.f64 beta 3)))))) |
(+.f64 (/.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) (fma.f64 -2 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (neg.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 (*.f64 -2 (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (pow.f64 beta 3)))))) |
(+.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 (*.f64 2 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4))) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 -2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))))) (pow.f64 beta 3))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 4)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 4))))))))) |
(+.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta)) (fma.f64 -2 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (fma.f64 2 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 (*.f64 -2 (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (pow.f64 beta 3)) (+.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 -2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 3)))))))))) |
(-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) 1) |
(+.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) -1) |
(+.f64 -1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) |
(-.f64 (+.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 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) 1) |
(+.f64 (fma.f64 -2 (/.f64 (*.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) alpha) (+.f64 2 beta)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) -1) |
(+.f64 -1 (fma.f64 -2 (/.f64 (*.f64 alpha (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 2 beta)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)))) |
(-.f64 (+.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 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (*.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)))) 1) |
(+.f64 (+.f64 (fma.f64 -2 (/.f64 (*.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) alpha) (+.f64 2 beta)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (*.f64 alpha alpha) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))))) -1) |
(+.f64 -1 (+.f64 (fma.f64 -2 (/.f64 (*.f64 alpha (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 2 beta)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (*.f64 alpha (*.f64 alpha (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (/.f64 (*.f64 (*.f64 2 beta) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 (+.f64 2 beta) 2))))))) |
(-.f64 (+.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 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.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 (+.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))))) 1) |
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(*.f64 -2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) |
(*.f64 -2 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha)) |
(*.f64 -2 (/.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) alpha)) |
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(*.f64 2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(*.f64 2 (/.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) alpha)) |
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(*.f64 -1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))) |
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(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) |
(neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) |
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(/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta) |
(/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) |
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(-.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (neg.f64 (/.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)) (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (fma.f64 -1 (/.f64 alpha beta) (/.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 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4)))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (neg.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 3)))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (fma.f64 -1 (/.f64 alpha beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (neg.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 3))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(+.f64 (/.f64 beta (+.f64 2 beta)) -1) |
(+.f64 -1 (/.f64 beta (+.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))) 1) |
(+.f64 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))) -1) |
(+.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 (+.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)))) 1) |
(+.f64 (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)))) -1) |
(+.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 (*.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 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))))) 1) |
(+.f64 (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (pow.f64 alpha 3)) (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))))) -1) |
(+.f64 -1 (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (pow.f64 alpha 3)) (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)))))) |
-2 |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) |
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) -2) |
(+.f64 -2 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) (+.f64 2 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (+.f64 2 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) (+.f64 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)))))) |
(-.f64 (+.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (+.f64 (+.f64 2 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) (neg.f64 (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))))) |
(+.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (+.f64 2 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) (/.f64 (*.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))))) |
-2 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 2) |
(fma.f64 -1 (/.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) alpha) -2) |
(-.f64 (+.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)))) 2) |
(+.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) -2) |
(+.f64 -2 (*.f64 -1 (+.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) |
(-.f64 (+.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))))) 2) |
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(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 -1 (/.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) alpha) -2))) |
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) |
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (*.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 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 -2 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 alpha (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)))))))) |
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (*.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)))) |
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.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 (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 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -2 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 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 beta beta)))) |
(+.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)) (*.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 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.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 (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 (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 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -2 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 alpha (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 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 (*.f64 2 (-.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 (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 beta beta))))) |
(+.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 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 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 -2 (/.f64 alpha 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 (+.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 (+.f64 1 (fma.f64 2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (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))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))) |
(+.f64 1 (*.f64 2 (/.f64 (-.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)))))) |
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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 beta (+.f64 beta 2)) |
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-1 |
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(-.f64 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 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 (-.f64 (neg.f64 beta) beta) 2) alpha) -1) |
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(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (-.f64 beta (+.f64 alpha 2))) |
(/.f64 (*.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha beta) 2)) (*.f64 alpha (+.f64 (+.f64 alpha beta) 2))) (-.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 (+.f64 alpha beta) 2) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) |
(/.f64 (*.f64 (-.f64 (*.f64 beta (+.f64 2 (+.f64 alpha beta))) (*.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (-.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.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 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha beta) 2)) (*.f64 alpha (+.f64 (+.f64 alpha beta) 2))) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))) |
(/.f64 (*.f64 (-.f64 (*.f64 beta (+.f64 2 (+.f64 alpha beta))) (*.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 2 (-.f64 beta alpha))))) (*.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha (+.f64 beta 2)))) (-.f64 beta (+.f64 alpha 2))) |
(/.f64 (*.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha beta) 2)) (*.f64 alpha (+.f64 (+.f64 alpha beta) 2))) (-.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 (+.f64 alpha beta) 2) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) |
(/.f64 (*.f64 (-.f64 (*.f64 beta (+.f64 2 (+.f64 alpha beta))) (*.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (-.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (+.f64 alpha (+.f64 beta 2)))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))) |
(*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha beta) 2)) (*.f64 alpha (+.f64 (+.f64 alpha beta) 2))) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))) |
(/.f64 (*.f64 (-.f64 (*.f64 beta (+.f64 2 (+.f64 alpha beta))) (*.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 2 (-.f64 beta alpha))))) (*.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (*.f64 (-.f64 beta (+.f64 alpha 2)) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))) |
(*.f64 (*.f64 (-.f64 beta (+.f64 alpha 2)) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha beta) 2)) (*.f64 alpha (+.f64 (+.f64 alpha beta) 2))) (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))) |
(*.f64 (-.f64 beta (+.f64 alpha 2)) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 2 (-.f64 beta alpha)))) (/.f64 (-.f64 (*.f64 beta (+.f64 2 (+.f64 alpha beta))) (*.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (-.f64 beta (+.f64 alpha 2)))) |
(*.f64 (*.f64 (-.f64 beta (+.f64 alpha 2)) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha beta) 2)) (*.f64 alpha (+.f64 (+.f64 alpha beta) 2))) (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))) |
(*.f64 (-.f64 beta (+.f64 alpha 2)) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 2 (-.f64 beta alpha)))) (/.f64 (-.f64 (*.f64 beta (+.f64 2 (+.f64 alpha beta))) (*.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1/2) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2)) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) -1) |
(/.f64 1 (/.f64 (+.f64 (+.f64 alpha beta) 2) (-.f64 beta alpha))) |
(/.f64 1 (/.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha))) |
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1/3) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) |
(/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 alpha beta))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2)) |
(fabs.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) |
(fabs.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))) |
(fabs.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) |
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) |
Compiled 55970 to 36595 computations (34.6% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1198 | 4 | 1202 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 4 | 4 |
| Total | 1200 | 10 | 1210 |
| Status | Error | Program |
|---|---|---|
| ✓ | 17.5b | (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2) |
| ✓ | 44.3b | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
| ▶ | 46.6b | (/.f64 (/.f64 2 alpha) 2) |
| ▶ | 35.4b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| ✓ | 18.8b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| ▶ | 39.0b | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| ▶ | 38.0b | (/.f64 (*.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) -1)) 2) |
| ▶ | 59.6b | (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
| 46.0b | (/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2) | |
| ✓ | 37.3b | (/.f64 2 2) |
Compiled 253 to 189 computations (25.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 alpha (+.f64 alpha 2)) |
| ✓ | 2.4b | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
Compiled 29 to 21 computations (27.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | alpha | @ | inf | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | 0 | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | -inf | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | inf | (/.f64 alpha (+.f64 alpha 2)) |
| 0.0ms | alpha | @ | 0 | (/.f64 alpha (+.f64 alpha 2)) |
| 1× | batch-egg-rewrite |
| 1378× | associate-*r/ |
| 948× | associate-*l/ |
| 902× | associate-/r* |
| 796× | *-commutative |
| 678× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 1 | 180 | 32 |
| 2 | 2431 | 32 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(/.f64 alpha (+.f64 alpha 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 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| 1× | egg-herbie |
| 1420× | associate-/r/ |
| 826× | associate-+l+ |
| 686× | associate-+r+ |
| 600× | +-commutative |
| 492× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 395 | 7727 |
| 1 | 1123 | 6943 |
| 2 | 4260 | 6921 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 alpha)) |
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(*.f64 1/2 alpha) |
(+.f64 (*.f64 1/2 alpha) (*.f64 -1/4 (pow.f64 alpha 2))) |
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2)))) |
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha)))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1) |
(+.f64 (-.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1) |
(*.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) |
(*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1) |
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(*.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) |
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (/.f64 alpha (+.f64 alpha 2))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (-.f64 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (-.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1)))) |
(/.f64 1 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))) |
(/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (/.f64 (+.f64 alpha 2) alpha))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (-.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 3)) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 3)) (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha))))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (-.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) 1) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3)) 1) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (-.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) 1) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) 1) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (/.f64 (+.f64 alpha 2) alpha))) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 3)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) 1) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1) |
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3)) |
(expm1.f64 (log.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha))))) |
(exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))) |
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(+.f64 (*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) alpha) (*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) -2)) |
(+.f64 (*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha alpha)) (*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 -2 alpha)))) |
(+.f64 (*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 -2 alpha))) (*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha alpha))) |
(+.f64 (*.f64 alpha (/.f64 alpha (fma.f64 alpha alpha -4))) (*.f64 -2 (/.f64 alpha (fma.f64 alpha alpha -4)))) |
(+.f64 (*.f64 (*.f64 alpha alpha) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))) (*.f64 (+.f64 4 (*.f64 -2 alpha)) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))))) |
(+.f64 (*.f64 (+.f64 4 (*.f64 -2 alpha)) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))) (*.f64 (*.f64 alpha alpha) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))))) |
(-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) |
(*.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(*.f64 alpha (/.f64 1 (+.f64 alpha 2))) |
(*.f64 (/.f64 alpha (+.f64 alpha 2)) 1) |
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (sqrt.f64 alpha) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2))) |
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)) |
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2))) |
(*.f64 (+.f64 alpha -2) (/.f64 alpha (fma.f64 alpha alpha -4))) |
(*.f64 (/.f64 1 (+.f64 alpha 2)) alpha) |
(*.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))) |
(*.f64 (neg.f64 alpha) (/.f64 -1 (+.f64 alpha 2))) |
(*.f64 (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)) (sqrt.f64 alpha)) |
(*.f64 (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)) (/.f64 (sqrt.f64 alpha) 1)) |
(*.f64 (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)) (pow.f64 (cbrt.f64 alpha) 2)) |
(*.f64 (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 alpha 1) (/.f64 1 (+.f64 alpha 2))) |
(*.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (/.f64 1 (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) |
(*.f64 (/.f64 1 (fma.f64 alpha alpha -4)) (*.f64 alpha (+.f64 alpha -2))) |
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2)) |
(*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) |
(*.f64 (/.f64 -1 (+.f64 alpha 2)) (neg.f64 alpha)) |
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2))) |
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))) (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (/.f64 (/.f64 alpha 1) 1) (/.f64 1 (+.f64 alpha 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 alpha 2)) (cbrt.f64 alpha)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 alpha (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 alpha -2)) |
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 alpha 2) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha)) |
(*.f64 (/.f64 alpha (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha)) |
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 (/.f64 alpha 1) (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha)) |
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (sqrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (fma.f64 alpha alpha -4))) (sqrt.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (cbrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (fma.f64 alpha alpha -4))) (cbrt.f64 (+.f64 alpha -2))) |
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1) |
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) |
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3) |
(pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1) |
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3) |
(neg.f64 (/.f64 alpha (-.f64 -2 alpha))) |
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) |
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))) |
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 alpha)) |
(fma.f64 -1/2 alpha 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))) |
(+.f64 1 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha)))) |
(+.f64 1 (fma.f64 -1/2 alpha (*.f64 alpha (*.f64 alpha 1/4)))) |
(+.f64 1 (*.f64 alpha (+.f64 -1/2 (*.f64 alpha 1/4)))) |
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))) |
(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 1 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha))))) |
(+.f64 (fma.f64 -1/2 alpha (*.f64 alpha (*.f64 alpha 1/4))) (fma.f64 -1/8 (pow.f64 alpha 3) 1)) |
(+.f64 (*.f64 alpha (+.f64 -1/2 (*.f64 alpha 1/4))) (fma.f64 -1/8 (pow.f64 alpha 3) 1)) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) |
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) |
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) |
(*.f64 1/2 alpha) |
(*.f64 alpha 1/2) |
(+.f64 (*.f64 1/2 alpha) (*.f64 -1/4 (pow.f64 alpha 2))) |
(fma.f64 1/2 alpha (*.f64 -1/4 (*.f64 alpha alpha))) |
(fma.f64 alpha 1/2 (*.f64 alpha (*.f64 alpha -1/4))) |
(*.f64 alpha (+.f64 1/2 (*.f64 alpha -1/4))) |
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2)))) |
(fma.f64 1/2 alpha (fma.f64 1/8 (pow.f64 alpha 3) (*.f64 -1/4 (*.f64 alpha alpha)))) |
(fma.f64 alpha 1/2 (fma.f64 (pow.f64 alpha 3) 1/8 (*.f64 alpha (*.f64 alpha -1/4)))) |
(fma.f64 alpha 1/2 (*.f64 (*.f64 alpha alpha) (+.f64 -1/4 (*.f64 alpha 1/8)))) |
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))) |
(fma.f64 1/2 alpha (fma.f64 -1/16 (pow.f64 alpha 4) (fma.f64 1/8 (pow.f64 alpha 3) (*.f64 -1/4 (*.f64 alpha alpha))))) |
(fma.f64 alpha 1/2 (fma.f64 (pow.f64 alpha 4) -1/16 (fma.f64 (pow.f64 alpha 3) 1/8 (*.f64 alpha (*.f64 alpha -1/4))))) |
(fma.f64 alpha 1/2 (fma.f64 (pow.f64 alpha 4) -1/16 (*.f64 (*.f64 alpha alpha) (+.f64 -1/4 (*.f64 alpha 1/8))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 1 (/.f64 2 alpha)) |
(+.f64 1 (/.f64 -2 alpha)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha)))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3)))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))))) |
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 1 (-.f64 (/.f64 -2 alpha) (/.f64 8 (pow.f64 alpha 3))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 1 (/.f64 2 alpha)) |
(+.f64 1 (/.f64 -2 alpha)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha)))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3)))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))))) |
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 1 (-.f64 (/.f64 -2 alpha) (/.f64 8 (pow.f64 alpha 3))))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(+.f64 (-.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1) |
(+.f64 1 (-.f64 0 (/.f64 alpha (+.f64 alpha 2)))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(*.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(*.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (/.f64 alpha (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (-.f64 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (-.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (-.f64 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (-.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (-.f64 1 (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 -1 (/.f64 alpha (+.f64 alpha 2)))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 1))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 3))) (fma.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) 1)) |
(/.f64 1 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (/.f64 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))) |
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.f64 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
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(*.f64 (/.f64 (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)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
| ✓ | 0.0b | (*.f64 2 (/.f64 beta alpha)) |
Compiled 20 to 10 computations (50% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | beta | @ | -inf | (*.f64 2 (/.f64 beta alpha)) |
| 2.0ms | beta | @ | inf | (*.f64 2 (/.f64 beta alpha)) |
| 1.0ms | beta | @ | 0 | (*.f64 2 (/.f64 beta alpha)) |
| 1.0ms | alpha | @ | inf | (*.f64 2 (/.f64 beta alpha)) |
| 0.0ms | alpha | @ | 0 | (*.f64 2 (/.f64 beta alpha)) |
| 1× | batch-egg-rewrite |
| 1700× | add-sqr-sqrt |
| 1674× | *-un-lft-identity |
| 1574× | add-cube-cbrt |
| 1558× | add-cbrt-cube |
| 172× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 1 | 177 | 20 |
| 2 | 2323 | 20 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 alpha (*.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 beta) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 beta)) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 beta) 2) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 beta) 1) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 beta) (sqrt.f64 alpha)) (sqrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 beta) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 beta)) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 beta alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 beta alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 beta alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 beta alpha)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 beta alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 beta alpha) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 2 (/.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 beta alpha)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) (*.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 beta alpha)) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (cbrt.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 2) (*.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) beta)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 beta) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 beta alpha) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 beta (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 beta) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 beta alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 beta alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 beta alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha beta) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 beta (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 2 (/.f64 beta alpha)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 beta alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 beta alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 beta alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 beta alpha))))))) |
| 1× | egg-herbie |
| 1320× | associate-/r* |
| 1268× | associate-/l* |
| 864× | unswap-sqr |
| 696× | *-commutative |
| 666× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 143 | 790 |
| 1 | 347 | 778 |
| 2 | 1784 | 778 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha)))) 1) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 1 (/.f64 alpha (*.f64 2 beta))) |
(/.f64 (*.f64 2 beta) alpha) |
(/.f64 (*.f64 2 (neg.f64 beta)) (neg.f64 alpha)) |
(/.f64 (*.f64 (neg.f64 beta) 2) (neg.f64 alpha)) |
(/.f64 (/.f64 (*.f64 2 beta) 1) alpha) |
(/.f64 (/.f64 (*.f64 2 beta) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(/.f64 (/.f64 (*.f64 2 beta) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha)) |
(/.f64 (neg.f64 (*.f64 2 beta)) (neg.f64 alpha)) |
(pow.f64 (*.f64 2 (/.f64 beta alpha)) 1) |
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 2) |
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 3) |
(pow.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 beta alpha)) 2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 beta alpha))))) |
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha)))) |
(exp.f64 (log.f64 (*.f64 2 (/.f64 beta alpha)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 beta alpha))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 beta alpha)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta alpha))) 1) |
(*.f64 2 (*.f64 (/.f64 beta alpha) 1/2)) |
(*.f64 2 (/.f64 1 (*.f64 2 (/.f64 alpha beta)))) |
(*.f64 beta (/.f64 1 alpha)) |
(*.f64 (/.f64 beta alpha) 1) |
(*.f64 (*.f64 2 (/.f64 beta alpha)) 1/2) |
(*.f64 1 (/.f64 beta alpha)) |
(*.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 (/.f64 beta alpha))) |
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) (*.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 1/2)) |
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 alpha))) |
(*.f64 (cbrt.f64 (/.f64 beta alpha)) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (cbrt.f64 (/.f64 beta alpha))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 2) (*.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 1/2)) |
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 alpha))) |
(*.f64 (/.f64 1 alpha) beta) |
(*.f64 1/2 (*.f64 2 (/.f64 beta alpha))) |
(*.f64 (neg.f64 beta) (/.f64 1 (neg.f64 alpha))) |
(*.f64 (*.f64 (/.f64 beta alpha) -2) -1/2) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 beta (sqrt.f64 alpha))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha))) |
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) alpha)) |
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) alpha)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 beta) (sqrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 beta alpha))) |
(pow.f64 (/.f64 beta alpha) 1) |
(pow.f64 (sqrt.f64 (/.f64 beta alpha)) 2) |
(pow.f64 (cbrt.f64 (/.f64 beta alpha)) 3) |
(pow.f64 (pow.f64 (/.f64 beta alpha) 3) 1/3) |
(pow.f64 (/.f64 alpha beta) -1) |
(neg.f64 (/.f64 beta (neg.f64 alpha))) |
(neg.f64 (/.f64 (*.f64 2 (/.f64 beta alpha)) -2)) |
(sqrt.f64 (pow.f64 (/.f64 beta alpha) 2)) |
(log.f64 (exp.f64 (/.f64 beta alpha))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta alpha)))) |
(cbrt.f64 (pow.f64 (/.f64 beta alpha) 3)) |
(expm1.f64 (log1p.f64 (/.f64 beta alpha))) |
(exp.f64 (log.f64 (/.f64 beta alpha))) |
(exp.f64 (*.f64 (log.f64 (/.f64 beta alpha)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 beta alpha))) |
| Outputs |
|---|
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha)))) 1) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 beta (/.f64 2 alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 beta (/.f64 2 alpha)) |
(/.f64 1 (/.f64 alpha (*.f64 2 beta))) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 beta (/.f64 2 alpha)) |
(/.f64 (*.f64 2 beta) alpha) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 beta (/.f64 2 alpha)) |
(/.f64 (*.f64 2 (neg.f64 beta)) (neg.f64 alpha)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 beta (/.f64 2 alpha)) |
(/.f64 (*.f64 (neg.f64 beta) 2) (neg.f64 alpha)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 beta (/.f64 2 alpha)) |
(/.f64 (/.f64 (*.f64 2 beta) 1) alpha) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 beta (/.f64 2 alpha)) |
(/.f64 (/.f64 (*.f64 2 beta) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 beta (/.f64 2 alpha)) |
(/.f64 (/.f64 (*.f64 2 beta) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 beta (/.f64 2 alpha)) |
(/.f64 (neg.f64 (*.f64 2 beta)) (neg.f64 alpha)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 beta (/.f64 2 alpha)) |
(pow.f64 (*.f64 2 (/.f64 beta alpha)) 1) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 beta (/.f64 2 alpha)) |
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 2) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 beta (/.f64 2 alpha)) |
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 3) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 beta (/.f64 2 alpha)) |
(pow.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3) 1/3) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 beta (/.f64 2 alpha)) |
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 2 alpha) beta) 2)) |
(fabs.f64 (*.f64 beta (/.f64 2 alpha))) |
(log.f64 (pow.f64 (exp.f64 (/.f64 beta alpha)) 2)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 beta (/.f64 2 alpha)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 beta alpha))))) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 beta (/.f64 2 alpha)) |
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 beta (/.f64 2 alpha)) |
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha)))) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 beta (/.f64 2 alpha)) |
(exp.f64 (log.f64 (*.f64 2 (/.f64 beta alpha)))) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 beta (/.f64 2 alpha)) |
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 beta alpha))) 1)) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 beta (/.f64 2 alpha)) |
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 beta alpha)))) |
(*.f64 (/.f64 2 alpha) beta) |
(*.f64 beta (/.f64 2 alpha)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta alpha))) 1) |
(/.f64 beta alpha) |
(*.f64 2 (*.f64 (/.f64 beta alpha) 1/2)) |
(/.f64 beta alpha) |
(*.f64 2 (/.f64 1 (*.f64 2 (/.f64 alpha beta)))) |
(/.f64 beta alpha) |
(*.f64 beta (/.f64 1 alpha)) |
(/.f64 beta alpha) |
(*.f64 (/.f64 beta alpha) 1) |
(/.f64 beta alpha) |
(*.f64 (*.f64 2 (/.f64 beta alpha)) 1/2) |
(/.f64 beta alpha) |
(*.f64 1 (/.f64 beta alpha)) |
(/.f64 beta alpha) |
(*.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) (*.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 1/2)) |
(/.f64 beta alpha) |
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 alpha))) |
(/.f64 beta alpha) |
(*.f64 (cbrt.f64 (/.f64 beta alpha)) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)) |
(/.f64 beta alpha) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (cbrt.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 2) (*.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 1/2)) |
(/.f64 beta alpha) |
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 alpha))) |
(/.f64 beta alpha) |
(*.f64 (/.f64 1 alpha) beta) |
(/.f64 beta alpha) |
(*.f64 1/2 (*.f64 2 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
(*.f64 (neg.f64 beta) (/.f64 1 (neg.f64 alpha))) |
(/.f64 beta alpha) |
(*.f64 (*.f64 (/.f64 beta alpha) -2) -1/2) |
(/.f64 beta alpha) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 beta (sqrt.f64 alpha))) |
(/.f64 beta alpha) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha))) |
(/.f64 beta alpha) |
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) alpha)) |
(/.f64 beta alpha) |
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha))) |
(/.f64 beta alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) alpha)) |
(/.f64 beta alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 beta) (sqrt.f64 alpha))) |
(/.f64 beta alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 beta alpha))) |
(*.f64 (cbrt.f64 (/.f64 beta alpha)) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(pow.f64 (/.f64 beta alpha) 1) |
(/.f64 beta alpha) |
(pow.f64 (sqrt.f64 (/.f64 beta alpha)) 2) |
(/.f64 beta alpha) |
(pow.f64 (cbrt.f64 (/.f64 beta alpha)) 3) |
(/.f64 beta alpha) |
(pow.f64 (pow.f64 (/.f64 beta alpha) 3) 1/3) |
(/.f64 beta alpha) |
(pow.f64 (/.f64 alpha beta) -1) |
(/.f64 beta alpha) |
(neg.f64 (/.f64 beta (neg.f64 alpha))) |
(/.f64 beta alpha) |
(neg.f64 (/.f64 (*.f64 2 (/.f64 beta alpha)) -2)) |
(/.f64 beta alpha) |
(sqrt.f64 (pow.f64 (/.f64 beta alpha) 2)) |
(fabs.f64 (/.f64 beta alpha)) |
(log.f64 (exp.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta alpha)))) |
(/.f64 beta alpha) |
(cbrt.f64 (pow.f64 (/.f64 beta alpha) 3)) |
(/.f64 beta alpha) |
(expm1.f64 (log1p.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
(exp.f64 (log.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
(exp.f64 (*.f64 (log.f64 (/.f64 beta alpha)) 1)) |
(/.f64 beta alpha) |
(log1p.f64 (expm1.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
Compiled 21 to 17 computations (19% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) |
| ✓ | 0.1b | (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
| 1.8b | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) | |
| ✓ | 3.7b | (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) -1) |
Compiled 195 to 108 computations (44.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | beta | @ | 0 | (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) -1) |
| 1.0ms | alpha | @ | inf | (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) -1) |
| 1.0ms | alpha | @ | -inf | (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) -1) |
| 1.0ms | beta | @ | inf | (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) -1) |
| 1.0ms | beta | @ | -inf | (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) -1) |
| 1× | batch-egg-rewrite |
| 892× | distribute-lft-neg-in |
| 824× | distribute-rgt-neg-in |
| 344× | +-commutative |
| 340× | add-sqr-sqrt |
| 332× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 159 |
| 1 | 323 | 99 |
| 2 | 5236 | 99 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) -1) |
(/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 beta (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (-.f64 (*.f64 alpha (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 beta (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (+.f64 (*.f64 alpha (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 0 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (*.f64 beta (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) (*.f64 alpha (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 2) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 2)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 3)) (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1) (+.f64 -1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1))) (+.f64 -1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 2)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 3)) (+.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 2)) (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 2))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 3))) (neg.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 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(+.f64 1 (expm1.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))))))) |
| 1× | egg-herbie |
| 852× | +-commutative |
| 816× | *-commutative |
| 776× | associate-*r* |
| 710× | associate-*l* |
| 704× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 768 | 21558 |
| 1 | 2451 | 21128 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 beta (-.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))))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 beta (-.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 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.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 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))))))) 1) |
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6)) (+.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (*.f64 (-.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)))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 3)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 beta (-.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 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.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 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))))))) 1) |
(/.f64 (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) beta) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 alpha beta)) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))) (+.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 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -1 (/.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))))) (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 2 (/.f64 alpha beta)) (+.f64 (*.f64 4 (/.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.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)))) (*.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 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -1 (/.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))))) (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 2 (/.f64 alpha beta)) (+.f64 (*.f64 4 (/.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha))) beta)) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha))) beta))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha)))) (pow.f64 beta 2))))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.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 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha))) beta))))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha)))) (pow.f64 beta 2))))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.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 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha))) beta)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.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)))))))) (*.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 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha)))) (pow.f64 beta 2))))) |
(-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) 1) |
(-.f64 (+.f64 (*.f64 (-.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))) alpha) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) 1) |
(-.f64 (+.f64 (*.f64 (-.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))) alpha) (+.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)))) (pow.f64 alpha 2)) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)))) 1) |
(-.f64 (+.f64 (*.f64 (-.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))) alpha) (+.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)))) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 6)) (+.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))))) (pow.f64 alpha 3))))) 1) |
(/.f64 (-.f64 (*.f64 -2 beta) (+.f64 4 (*.f64 2 beta))) alpha) |
(-.f64 (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -2 (/.f64 beta alpha))) (+.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 4 (/.f64 1 alpha)))))) |
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(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 (-.f64 (*.f64 -2 beta) (+.f64 4 (*.f64 2 beta))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (+.f64 4 (*.f64 2 beta))) (*.f64 (-.f64 (*.f64 -2 beta) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.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))) (*.f64 (-.f64 (*.f64 -2 beta) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (+.f64 4 (*.f64 2 beta)))) (*.f64 (-.f64 (pow.f64 beta 2) (+.f64 (*.f64 (-.f64 (*.f64 -2 beta) (+.f64 4 (*.f64 2 beta))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -2 (/.f64 beta alpha))))) (+.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 -1 (/.f64 (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2))) alpha)) |
(-.f64 (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2))) alpha))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2)))) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2)))) (pow.f64 alpha 3)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2))))))) (+.f64 beta 2)) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2))) alpha))))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2)))) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2)))) (pow.f64 alpha 3)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2))))))) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2))))))) (pow.f64 (+.f64 beta 2) 2)) (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2)))) (*.f64 -2 (*.f64 (-.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2))))))) (+.f64 beta 2)))) (+.f64 beta 2)))) (pow.f64 alpha 4))) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2))) alpha)))))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2)))) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) |
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 beta (-.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))))) |
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(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 beta (-.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 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6)) (+.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 (pow.f64 beta 2) (-.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)))))))) |
1 |
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 4 (/.f64 1 beta)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 alpha beta)) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))) (+.f64 (*.f64 4 (/.f64 1 beta)) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -1 (/.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))))) (pow.f64 beta 3)))))) (+.f64 (*.f64 4 (/.f64 1 beta)) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha))) beta))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha))) beta)))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha)))) (pow.f64 beta 2))))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.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 1 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha))) beta)))))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha)))) (pow.f64 beta 2))))) |
(/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) |
(+.f64 (*.f64 (-.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))) alpha) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) |
(+.f64 (*.f64 (-.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))) alpha) (+.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)))) (pow.f64 alpha 2)) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)))) |
(+.f64 (*.f64 (-.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))) alpha) (+.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)))) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 6)) (+.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))))) (pow.f64 alpha 3))))) |
1 |
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 beta alpha))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -2 (/.f64 beta alpha)))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) (+.f64 4 (*.f64 2 beta))) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 4 (/.f64 1 alpha)))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.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))) (*.f64 (-.f64 (*.f64 -2 beta) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -2 (/.f64 beta alpha))))) (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (*.f64 -2 beta) (+.f64 4 (*.f64 2 beta)))) (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 4 (/.f64 1 alpha)))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2))) alpha))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2))) alpha)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2)))) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2)))) (pow.f64 alpha 3)) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2))))))) (+.f64 beta 2)) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2))) alpha)))))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2)))) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(/.f64 (pow.f64 (+.f64 beta 2) 2) beta) |
(+.f64 (*.f64 alpha (-.f64 (+.f64 (*.f64 4 (/.f64 1 beta)) 2) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2))))) (/.f64 (pow.f64 (+.f64 beta 2) 2) beta)) |
(+.f64 (*.f64 (-.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 4 (/.f64 1 beta)) 2) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2)))) beta))) (pow.f64 alpha 2)) (+.f64 (*.f64 alpha (-.f64 (+.f64 (*.f64 4 (/.f64 1 beta)) 2) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2))))) (/.f64 (pow.f64 (+.f64 beta 2) 2) beta))) |
(+.f64 (*.f64 (-.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 4 (/.f64 1 beta)) 2) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2)))) beta))) (pow.f64 alpha 2)) (+.f64 (*.f64 alpha (-.f64 (+.f64 (*.f64 4 (/.f64 1 beta)) 2) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2))))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) beta) (/.f64 (*.f64 (-.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 4 (/.f64 1 beta)) 2) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2)))) beta))) (pow.f64 alpha 3)) beta)))) |
(*.f64 -1 alpha) |
(-.f64 (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 4 (*.f64 2 beta)))) beta) |
(-.f64 (+.f64 (*.f64 -1 alpha) (+.f64 (*.f64 -1 (+.f64 4 (*.f64 2 beta))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))) (+.f64 beta (*.f64 -1 (/.f64 (*.f64 beta (-.f64 (*.f64 -1 (+.f64 4 (*.f64 2 beta))) beta)) alpha)))) |
(-.f64 (+.f64 (/.f64 (*.f64 beta (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 beta (-.f64 (*.f64 -1 (+.f64 4 (*.f64 2 beta))) beta))))) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 alpha) (+.f64 (*.f64 -1 (+.f64 4 (*.f64 2 beta))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))) (+.f64 beta (*.f64 -1 (/.f64 (*.f64 beta (-.f64 (*.f64 -1 (+.f64 4 (*.f64 2 beta))) beta)) alpha)))) |
(*.f64 -1 alpha) |
(-.f64 (+.f64 (*.f64 -1 alpha) (*.f64 -2 (+.f64 beta 2))) beta) |
(-.f64 (+.f64 (*.f64 -1 alpha) (+.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (-.f64 (*.f64 -2 (+.f64 beta 2)) beta))) alpha)))) beta) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (-.f64 (*.f64 -2 (+.f64 beta 2)) beta)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 alpha) (+.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (-.f64 (*.f64 -2 (+.f64 beta 2)) beta))) alpha))))) beta) |
(*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) |
(+.f64 (*.f64 beta (-.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 alpha)) alpha)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) |
(+.f64 (*.f64 beta (-.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 alpha)) alpha)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 alpha)) alpha)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) alpha)) (/.f64 1 alpha)))))) |
(+.f64 (*.f64 beta (-.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 alpha)) alpha)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 alpha)) alpha)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (pow.f64 alpha 2)))))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 alpha)) alpha)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) alpha)) (/.f64 1 alpha))))))) |
beta |
(-.f64 (+.f64 beta (+.f64 4 (*.f64 2 alpha))) (*.f64 -1 alpha)) |
(-.f64 (+.f64 beta (+.f64 4 (+.f64 (*.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 -1 alpha)) alpha) beta)) (*.f64 -1 alpha))) |
(-.f64 (+.f64 beta (+.f64 4 (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 -1 (*.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 -1 alpha)) alpha))) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 -1 alpha)) alpha) beta)) (*.f64 -1 alpha))) |
beta |
(+.f64 beta (*.f64 -1 (-.f64 (*.f64 -2 (+.f64 2 alpha)) alpha))) |
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 (-.f64 (*.f64 -2 (+.f64 2 alpha)) alpha)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta))) (/.f64 (*.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) alpha) alpha) beta)) |
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 (-.f64 (*.f64 -2 (+.f64 2 alpha)) alpha)) (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) alpha) alpha)) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))) (/.f64 (*.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) alpha) alpha) beta)) |
(-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1) |
(-.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1) 2) |
(-.f64 (*.f64 beta (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (-.f64 (*.f64 alpha (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) -1)) |
(-.f64 (*.f64 beta (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (+.f64 (*.f64 alpha (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 1)) |
(-.f64 (exp.f64 (log.f64 (+.f64 0 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)))) 1) |
(-.f64 (+.f64 -1 (*.f64 beta (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) (*.f64 alpha (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) |
(-.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 2) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1))) |
(-.f64 (+.f64 -1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1)) 1) |
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1) 1) |
(*.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)) |
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) |
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) |
(*.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 2)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1))) |
(*.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 3)) (/.f64 1 (+.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1))))) |
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1) (+.f64 -1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 2)))) |
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1))) (+.f64 -1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 3)))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 2)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1)) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 3)) (+.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1)))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 2)) (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 2))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 3))) (neg.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1))))) |
(pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1) 1) |
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)) 2) |
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)) 3) |
(pow.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1) 2)) |
(log.f64 (exp.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)))) |
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1) 3)) |
(expm1.f64 (log.f64 (+.f64 0 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)))) |
(exp.f64 (log.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) |
(fma.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) -1) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1) |
(fma.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1) |
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) 2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) -1) |
(+.f64 (*.f64 beta (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (*.f64 (neg.f64 alpha) (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) |
(+.f64 (*.f64 (neg.f64 alpha) (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (*.f64 beta (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) |
(-.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1) 1) |
(-.f64 (*.f64 beta (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (*.f64 alpha (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) |
(*.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) |
(*.f64 (-.f64 beta alpha) (neg.f64 (*.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) -1))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1) |
(*.f64 -1 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))) |
(*.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)) |
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) 2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) 2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) -1))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (pow.f64 (-.f64 beta alpha) 2) (*.f64 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))))) |
(*.f64 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)))) |
(*.f64 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) (-.f64 (/.f64 beta (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha))) (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 beta alpha)) |
(*.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 beta (/.f64 alpha 1))) |
(*.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 (/.f64 beta 1) alpha)) |
(*.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 (/.f64 beta 1) (/.f64 alpha 1))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)) -1) |
(*.f64 (+.f64 alpha (neg.f64 beta)) (*.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) -1)) |
(*.f64 (+.f64 alpha (neg.f64 beta)) (/.f64 1 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 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 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) (-.f64 (/.f64 beta (-.f64 -2 (+.f64 beta alpha))) (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))))) |
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))) (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))) (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))))) |
(*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) (/.f64 -1 (-.f64 -2 (+.f64 beta alpha)))) |
(*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 (-.f64 beta alpha) 1) (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) (-.f64 (/.f64 beta (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) (/.f64 alpha (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))) 2)) (-.f64 (/.f64 beta (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) (/.f64 alpha (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha))) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (+.f64 alpha (+.f64 beta 2))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))) 2)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) 2)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) -1)) |
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)))) (sqrt.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))) (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))))) (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) |
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1) |
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) 3) |
(pow.f64 (/.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)) -1) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 3) 1/3) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))) |
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 2)) |
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)))) |
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))) |
(exp.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))) |
(+.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) alpha) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) (+.f64 beta 2))) |
(+.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) (+.f64 beta 2)) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) alpha)) |
(+.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) (+.f64 beta alpha)) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2)) |
(+.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 2) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) (+.f64 beta alpha))) |
(+.f64 (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha))) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)))) |
(+.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha))) (*.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)))) |
(+.f64 (*.f64 (+.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha))) (*.f64 2 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)))) |
(+.f64 (*.f64 2 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha))) (*.f64 (+.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) 1) |
(*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha))) |
(*.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 (neg.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)) 1) |
(*.f64 -1 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) |
(*.f64 1 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))) |
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)))) |
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))) (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) |
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))) 2) (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))))) |
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta 2))) |
(*.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)))) |
(*.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) |
(*.f64 (sqrt.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) (cbrt.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))))) (neg.f64 (cbrt.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))))) |
(*.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 1) (+.f64 alpha (+.f64 beta 2))) |
(*.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (-.f64 beta alpha)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) 1) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha))) |
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (neg.f64 beta))) (-.f64 -2 (+.f64 beta alpha))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))) 2)) (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))))) |
(*.f64 (neg.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha))) (-.f64 -2 (+.f64 beta alpha))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 1) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 beta alpha)) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) |
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))))) (sqrt.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) (cbrt.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))))) (cbrt.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))))) (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))) 2))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) |
(*.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)))) (+.f64 alpha (+.f64 beta 2))) |
(pow.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))) 3) |
(pow.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)) 3) 1/3) |
(pow.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) -1) |
(neg.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) |
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)) 2)) |
(log.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))))) |
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) |
(exp.f64 (log.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) |
| Outputs |
|---|
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1) |
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) -1) |
(+.f64 (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha)) -1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 beta (-.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))))) 1) |
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (*.f64 beta (-.f64 (/.f64 (*.f64 alpha -2) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 4) (+.f64 4 (*.f64 alpha 2)))))) 1)) |
(+.f64 (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha)) (-.f64 (*.f64 beta (-.f64 (/.f64 -2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha)) (*.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4)) (*.f64 2 (+.f64 alpha 2))))) 1)) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 beta (-.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 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.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 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))))))) 1) |
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (fma.f64 beta (-.f64 (/.f64 (*.f64 alpha -2) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 4) (+.f64 4 (*.f64 alpha 2))))) (*.f64 (*.f64 beta beta) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 alpha -2) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 4) (+.f64 4 (*.f64 alpha 2))))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 4 (*.f64 alpha 2)))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4)))))) 1)) |
(+.f64 (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha)) (+.f64 (fma.f64 beta (-.f64 (/.f64 -2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha)) (*.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4)) (*.f64 2 (+.f64 alpha 2)))) (*.f64 beta (*.f64 beta (-.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (-.f64 (/.f64 -2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha)) (*.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4)) (*.f64 2 (+.f64 alpha 2)))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 2 (+.f64 alpha 2)))))))) -1)) |
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6)) (+.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (*.f64 (-.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)))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 3)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 beta (-.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 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.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 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))))))) 1) |
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1 |
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1 |
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(fma.f64 (-.f64 (/.f64 1 beta) (neg.f64 (/.f64 (+.f64 (/.f64 4 beta) (-.f64 2 (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta beta))))) beta))) (*.f64 alpha alpha) (fma.f64 alpha (+.f64 (/.f64 4 beta) (-.f64 2 (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta beta))))) (/.f64 (pow.f64 (+.f64 2 beta) 2) beta))) |
(fma.f64 (+.f64 (/.f64 1 beta) (-.f64 (/.f64 (+.f64 2 (/.f64 4 beta)) beta) (/.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 beta 3)))) (*.f64 alpha alpha) (fma.f64 alpha (+.f64 2 (-.f64 (/.f64 4 beta) (/.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (*.f64 beta beta)))) (/.f64 (pow.f64 (+.f64 2 beta) 2) beta))) |
(+.f64 (*.f64 (-.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 4 (/.f64 1 beta)) 2) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2)))) beta))) (pow.f64 alpha 2)) (+.f64 (*.f64 alpha (-.f64 (+.f64 (*.f64 4 (/.f64 1 beta)) 2) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2))))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) beta) (/.f64 (*.f64 (-.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 4 (/.f64 1 beta)) 2) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 beta 2)))) beta))) (pow.f64 alpha 3)) beta)))) |
(fma.f64 (-.f64 (/.f64 1 beta) (neg.f64 (/.f64 (+.f64 (/.f64 4 beta) (-.f64 2 (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta beta))))) beta))) (*.f64 alpha alpha) (+.f64 (fma.f64 alpha (+.f64 (/.f64 4 beta) (-.f64 2 (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta beta))))) (/.f64 (pow.f64 (+.f64 2 beta) 2) beta)) (/.f64 (-.f64 (/.f64 1 beta) (neg.f64 (/.f64 (+.f64 (/.f64 4 beta) (-.f64 2 (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta beta))))) beta))) (/.f64 beta (pow.f64 alpha 3))))) |
(+.f64 (fma.f64 (+.f64 (/.f64 1 beta) (-.f64 (/.f64 (+.f64 2 (/.f64 4 beta)) beta) (/.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 beta 3)))) (*.f64 alpha alpha) (fma.f64 alpha (+.f64 2 (-.f64 (/.f64 4 beta) (/.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (*.f64 beta beta)))) (/.f64 (pow.f64 (+.f64 2 beta) 2) beta))) (/.f64 (pow.f64 alpha 3) (/.f64 beta (+.f64 (/.f64 1 beta) (-.f64 (/.f64 (+.f64 2 (/.f64 4 beta)) beta) (/.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 beta 3))))))) |
(*.f64 -1 alpha) |
(neg.f64 alpha) |
(-.f64 (+.f64 (*.f64 -1 alpha) (*.f64 -1 (+.f64 4 (*.f64 2 beta)))) beta) |
(-.f64 (*.f64 -1 (+.f64 alpha (+.f64 4 (*.f64 2 beta)))) beta) |
(-.f64 (fma.f64 -1 alpha (+.f64 (*.f64 beta -2) -4)) beta) |
(-.f64 (+.f64 (*.f64 -1 alpha) (+.f64 (*.f64 -1 (+.f64 4 (*.f64 2 beta))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)))) (+.f64 beta (*.f64 -1 (/.f64 (*.f64 beta (-.f64 (*.f64 -1 (+.f64 4 (*.f64 2 beta))) beta)) alpha)))) |
(-.f64 (fma.f64 -1 alpha (*.f64 -1 (+.f64 (+.f64 4 (*.f64 2 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)))) (+.f64 beta (/.f64 (*.f64 (neg.f64 beta) (-.f64 (neg.f64 (+.f64 4 (*.f64 2 beta))) beta)) alpha))) |
(+.f64 (fma.f64 -1 alpha (+.f64 (*.f64 beta -2) -4)) (-.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) alpha) (+.f64 beta (/.f64 (neg.f64 beta) (/.f64 alpha (+.f64 (*.f64 beta -2) (-.f64 -4 beta))))))) |
(-.f64 (+.f64 (/.f64 (*.f64 beta (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 beta (-.f64 (*.f64 -1 (+.f64 4 (*.f64 2 beta))) beta))))) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 alpha) (+.f64 (*.f64 -1 (+.f64 4 (*.f64 2 beta))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))) (+.f64 beta (*.f64 -1 (/.f64 (*.f64 beta (-.f64 (*.f64 -1 (+.f64 4 (*.f64 2 beta))) beta)) alpha)))) |
(+.f64 (/.f64 (*.f64 beta (*.f64 -1 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (-.f64 (neg.f64 (+.f64 4 (*.f64 2 beta))) beta))))) (*.f64 alpha alpha)) (-.f64 (fma.f64 -1 alpha (*.f64 -1 (+.f64 (+.f64 4 (*.f64 2 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)))) (+.f64 beta (/.f64 (*.f64 (neg.f64 beta) (-.f64 (neg.f64 (+.f64 4 (*.f64 2 beta))) beta)) alpha)))) |
(+.f64 (+.f64 (fma.f64 -1 alpha (+.f64 (*.f64 beta -2) -4)) (-.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) alpha) (+.f64 beta (/.f64 (neg.f64 beta) (/.f64 alpha (+.f64 (*.f64 beta -2) (-.f64 -4 beta))))))) (/.f64 (*.f64 (neg.f64 beta) (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 (*.f64 beta -2) (-.f64 -4 beta))))) (*.f64 alpha alpha))) |
(*.f64 -1 alpha) |
(neg.f64 alpha) |
(-.f64 (+.f64 (*.f64 -1 alpha) (*.f64 -2 (+.f64 beta 2))) beta) |
(-.f64 (*.f64 -1 (+.f64 alpha (+.f64 4 (*.f64 2 beta)))) beta) |
(-.f64 (fma.f64 -1 alpha (+.f64 (*.f64 beta -2) -4)) beta) |
(-.f64 (+.f64 (*.f64 -1 alpha) (+.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (-.f64 (*.f64 -2 (+.f64 beta 2)) beta))) alpha)))) beta) |
(-.f64 (fma.f64 -1 alpha (fma.f64 -2 (+.f64 2 beta) (neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (-.f64 (+.f64 (*.f64 beta -2) -4) beta))) alpha)))) beta) |
(-.f64 (fma.f64 -1 alpha (fma.f64 -2 (+.f64 2 beta) (neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 (*.f64 beta -2) (-.f64 -4 beta)))) alpha)))) beta) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (-.f64 (*.f64 -2 (+.f64 beta 2)) beta)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 alpha) (+.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (-.f64 (*.f64 -2 (+.f64 beta 2)) beta))) alpha))))) beta) |
(-.f64 (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (-.f64 (+.f64 (*.f64 beta -2) -4) beta))))) (fma.f64 -1 alpha (fma.f64 -2 (+.f64 2 beta) (neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (-.f64 (+.f64 (*.f64 beta -2) -4) beta))) alpha))))) beta) |
(-.f64 (fma.f64 -1 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 (*.f64 beta -2) (-.f64 -4 beta))))) (fma.f64 -1 alpha (fma.f64 -2 (+.f64 2 beta) (neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 (*.f64 beta -2) (-.f64 -4 beta)))) alpha))))) beta) |
(*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) |
(neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha)) |
(+.f64 (*.f64 beta (-.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 alpha)) alpha)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))) |
(fma.f64 beta (-.f64 (neg.f64 (/.f64 (+.f64 4 (*.f64 alpha 2)) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))) |
(fma.f64 beta (-.f64 (neg.f64 (/.f64 (*.f64 2 (+.f64 alpha 2)) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))) |
(+.f64 (*.f64 beta (-.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 alpha)) alpha)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 alpha)) alpha)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) alpha)) (/.f64 1 alpha)))))) |
(fma.f64 beta (-.f64 (neg.f64 (/.f64 (+.f64 4 (*.f64 alpha 2)) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha))) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha) (*.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 4 (*.f64 alpha 2)) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha))) alpha) (/.f64 1 alpha)))))) |
(fma.f64 beta (-.f64 (neg.f64 (/.f64 (*.f64 2 (+.f64 alpha 2)) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha))) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha) (*.f64 beta (*.f64 beta (fma.f64 -1 (-.f64 (/.f64 (neg.f64 (/.f64 (*.f64 2 (+.f64 alpha 2)) alpha)) alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 alpha 3))) (/.f64 1 alpha))))))) |
(+.f64 (*.f64 beta (-.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 alpha)) alpha)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 alpha)) alpha)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (pow.f64 alpha 2)))))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 alpha)) alpha)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) alpha)) (/.f64 1 alpha))))))) |
(fma.f64 beta (-.f64 (neg.f64 (/.f64 (+.f64 4 (*.f64 alpha 2)) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha) (*.f64 -1 (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 4 (*.f64 alpha 2)) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha))) (*.f64 alpha alpha))))) (*.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 4 (*.f64 alpha 2)) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha))) alpha) (/.f64 1 alpha))))))) |
(fma.f64 beta (-.f64 (neg.f64 (/.f64 (*.f64 2 (+.f64 alpha 2)) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha) (*.f64 -1 (+.f64 (*.f64 beta (*.f64 beta (fma.f64 -1 (-.f64 (/.f64 (neg.f64 (/.f64 (*.f64 2 (+.f64 alpha 2)) alpha)) alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 alpha 3))) (/.f64 1 alpha)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (/.f64 1 alpha) alpha) (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 2 (+.f64 alpha 2)) -1) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 alpha 4)))))))))) |
beta |
(-.f64 (+.f64 beta (+.f64 4 (*.f64 2 alpha))) (*.f64 -1 alpha)) |
(-.f64 (+.f64 (+.f64 beta 4) (*.f64 alpha 2)) (neg.f64 alpha)) |
(+.f64 (*.f64 2 (+.f64 alpha 2)) (-.f64 beta (neg.f64 alpha))) |
(-.f64 (+.f64 beta (+.f64 4 (+.f64 (*.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 -1 alpha)) alpha) beta)) (*.f64 -1 alpha))) |
(+.f64 beta (-.f64 (+.f64 4 (fma.f64 2 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta))) (fma.f64 -1 (/.f64 (+.f64 4 (-.f64 (*.f64 alpha 2) (neg.f64 alpha))) (/.f64 beta alpha)) (neg.f64 alpha)))) |
(+.f64 beta (+.f64 4 (-.f64 (fma.f64 2 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta)) (fma.f64 -1 (*.f64 (/.f64 (+.f64 (*.f64 alpha 2) (-.f64 4 (neg.f64 alpha))) beta) alpha) (neg.f64 alpha))))) |
(-.f64 (+.f64 beta (+.f64 4 (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 -1 (*.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 -1 alpha)) alpha))) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 -1 alpha)) alpha) beta)) (*.f64 -1 alpha))) |
(+.f64 beta (-.f64 (+.f64 4 (+.f64 (fma.f64 2 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta)) (/.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (neg.f64 (*.f64 alpha (+.f64 4 (-.f64 (*.f64 alpha 2) (neg.f64 alpha)))))) (/.f64 (*.f64 beta beta) alpha)))) (fma.f64 -1 (/.f64 (+.f64 4 (-.f64 (*.f64 alpha 2) (neg.f64 alpha))) (/.f64 beta alpha)) (neg.f64 alpha)))) |
(+.f64 beta (-.f64 (+.f64 (+.f64 4 (fma.f64 2 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta))) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (neg.f64 alpha) (+.f64 (*.f64 alpha 2) (-.f64 4 (neg.f64 alpha))))) (*.f64 beta beta)) alpha)) (fma.f64 -1 (*.f64 (/.f64 (+.f64 (*.f64 alpha 2) (-.f64 4 (neg.f64 alpha))) beta) alpha) (neg.f64 alpha)))) |
beta |
(+.f64 beta (*.f64 -1 (-.f64 (*.f64 -2 (+.f64 2 alpha)) alpha))) |
(+.f64 beta (neg.f64 (fma.f64 -2 (+.f64 alpha 2) (neg.f64 alpha)))) |
(+.f64 beta (neg.f64 (-.f64 (+.f64 (*.f64 alpha -2) -4) alpha))) |
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 (-.f64 (*.f64 -2 (+.f64 2 alpha)) alpha)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta))) (/.f64 (*.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) alpha) alpha) beta)) |
(+.f64 beta (-.f64 (fma.f64 -1 (fma.f64 -2 (+.f64 alpha 2) (neg.f64 alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta)) (/.f64 (fma.f64 -2 (+.f64 alpha 2) (neg.f64 alpha)) (/.f64 beta alpha)))) |
(+.f64 beta (-.f64 (fma.f64 -1 (-.f64 (+.f64 (*.f64 alpha -2) -4) alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta)) (*.f64 (/.f64 (-.f64 (+.f64 (*.f64 alpha -2) -4) alpha) beta) alpha))) |
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 (-.f64 (*.f64 -2 (+.f64 2 alpha)) alpha)) (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) alpha) alpha)) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))) (/.f64 (*.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) alpha) alpha) beta)) |
(+.f64 beta (-.f64 (fma.f64 -1 (fma.f64 -2 (+.f64 alpha 2) (neg.f64 alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta) (/.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha (fma.f64 -2 (+.f64 alpha 2) (neg.f64 alpha)))) (/.f64 (*.f64 beta beta) alpha)))) (/.f64 (fma.f64 -2 (+.f64 alpha 2) (neg.f64 alpha)) (/.f64 beta alpha)))) |
(+.f64 beta (-.f64 (+.f64 (fma.f64 -1 (-.f64 (+.f64 (*.f64 alpha -2) -4) alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) beta)) (/.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha (-.f64 (+.f64 (*.f64 alpha -2) -4) alpha))) (/.f64 beta (/.f64 alpha beta)))) (*.f64 (/.f64 (-.f64 (+.f64 (*.f64 alpha -2) -4) alpha) beta) alpha))) |
(-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1) |
(+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) |
(-.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1) 2) |
(+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) |
(-.f64 (*.f64 beta (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (-.f64 (*.f64 alpha (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) -1)) |
(+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) |
(-.f64 (*.f64 beta (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (+.f64 (*.f64 alpha (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 1)) |
(+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) |
(-.f64 (exp.f64 (log.f64 (+.f64 0 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2)))) 1) |
(+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) |
(-.f64 (+.f64 -1 (*.f64 beta (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) (*.f64 alpha (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) |
(+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) |
(-.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 2) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1))) |
(-.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) 2) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))) |
(-.f64 (+.f64 -1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1)) 1) |
(+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) |
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1) 1) |
(+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) |
(*.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)) |
(+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) |
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) |
(+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) |
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)) 2)) |
(+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1))) |
(+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) |
(*.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 2)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) 1))) |
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (+.f64 -1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) 2))) |
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(*.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 (neg.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha))))) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) |
(*.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)) 1) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) |
(*.f64 -1 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) |
(*.f64 1 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) |
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)))) |
(*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))) (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) |
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))))) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))) 2)) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))) 2) (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))))) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) |
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta 2))) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) |
(*.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)))) |
(*.f64 (-.f64 -2 (+.f64 alpha beta)) (/.f64 (neg.f64 (+.f64 alpha (+.f64 2 beta))) (-.f64 beta alpha))) |
(*.f64 (-.f64 -2 (+.f64 alpha beta)) (neg.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)))) |
(*.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) |
(*.f64 (-.f64 -2 (+.f64 alpha beta)) (*.f64 (/.f64 1 (-.f64 beta alpha)) (-.f64 -2 (+.f64 alpha beta)))) |
(*.f64 (/.f64 1 (-.f64 beta alpha)) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -2 (+.f64 alpha beta)))) |
(*.f64 (sqrt.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))))) |
(*.f64 (sqrt.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)))) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)))))) |
(*.f64 (sqrt.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (-.f64 beta alpha))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (-.f64 beta alpha))))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) (cbrt.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))))) (neg.f64 (cbrt.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))))) |
(*.f64 (cbrt.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)))) (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)))) (cbrt.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha))))))) |
(*.f64 (cbrt.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (-.f64 beta alpha))) (*.f64 (cbrt.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (-.f64 beta alpha))) (neg.f64 (cbrt.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (-.f64 beta alpha)))))) |
(*.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) 1) (+.f64 alpha (+.f64 beta 2))) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) |
(*.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2))) |
(*.f64 (/.f64 1 (-.f64 beta alpha)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))))) |
(*.f64 (/.f64 1 (-.f64 beta alpha)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) |
(/.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (/.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) |
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) 1) (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha))) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) |
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (neg.f64 beta))) (-.f64 -2 (+.f64 beta alpha))) |
(*.f64 (-.f64 -2 (+.f64 alpha beta)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 alpha beta))) |
(/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (-.f64 alpha beta) (-.f64 -2 (+.f64 alpha beta)))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))))) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))) 2)) (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))))) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) |
(*.f64 (neg.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha))) (-.f64 -2 (+.f64 beta alpha))) |
(*.f64 (-.f64 -2 (+.f64 alpha beta)) (/.f64 (neg.f64 (+.f64 alpha (+.f64 2 beta))) (-.f64 beta alpha))) |
(*.f64 (-.f64 -2 (+.f64 alpha beta)) (neg.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 1) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (-.f64 beta alpha)) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2)) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 beta alpha)) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 beta alpha)) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (-.f64 beta alpha)) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) -1))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2))) |
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))))) (sqrt.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))))) |
(*.f64 (sqrt.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)))) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)))))) |
(*.f64 (sqrt.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (-.f64 beta alpha))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (-.f64 beta alpha))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) (cbrt.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))))) (cbrt.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))))) |
(*.f64 (cbrt.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)))) (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)))) (cbrt.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha))))))) |
(*.f64 (cbrt.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (-.f64 beta alpha))) (*.f64 (cbrt.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (-.f64 beta alpha))) (neg.f64 (cbrt.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (-.f64 beta alpha)))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))))) (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))) 2))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) |
(*.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)))) (+.f64 alpha (+.f64 beta 2))) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) |
(pow.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)) 1) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) |
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))) 2) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) |
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))) 3) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) |
(pow.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)) 3) 1/3) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) |
(pow.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) -1) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) |
(neg.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) |
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) 2)) |
(log.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))))) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) |
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)) 3)) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) |
(exp.f64 (log.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha))) 1)) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) |
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 beta alpha)))) |
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) |
Compiled 42372 to 28910 computations (31.8% saved)
14 alts after pruning (8 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 899 | 7 | 906 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 6 | 8 |
| Total | 902 | 14 | 916 |
| Status | Error | Program |
|---|---|---|
| ▶ | 59.6b | (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 3) |
| ✓ | 44.3b | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
| ✓ | 46.6b | (/.f64 (/.f64 2 alpha) 2) |
| ▶ | 47.5b | (/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
| ✓ | 35.4b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| 37.3b | (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) | |
| ✓ | 18.8b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| ✓ | 39.0b | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| ▶ | 39.0b | (/.f64 (*.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) -1)) 2) |
| 38.0b | (/.f64 (*.f64 (/.f64 1 (+.f64 -1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) -1)) 2) | |
| 46.0b | (/.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) | |
| ▶ | 59.6b | (/.f64 beta alpha) |
| ✓ | 37.3b | (/.f64 2 2) |
| ▶ | 36.3b | (/.f64 1 2) |
Compiled 392 to 282 computations (28.1% saved)
Compiled 7 to 7 computations (0% saved)
Compiled 7 to 3 computations (57.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
| ✓ | 0.2b | (/.f64 4 (*.f64 alpha alpha)) |
Compiled 36 to 21 computations (41.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (/.f64 4 (*.f64 alpha alpha)) |
| 0.0ms | alpha | @ | 0 | (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
| 0.0ms | alpha | @ | inf | (/.f64 4 (*.f64 alpha alpha)) |
| 0.0ms | alpha | @ | -inf | (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
| 0.0ms | alpha | @ | inf | (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
| 1× | batch-egg-rewrite |
| 1354× | associate-/r* |
| 940× | *-commutative |
| 568× | associate-/l* |
| 428× | distribute-lft-in |
| 424× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 38 |
| 1 | 211 | 32 |
| 2 | 3068 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4 (*.f64 alpha alpha)) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 alpha) (*.f64 (pow.f64 alpha -2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 alpha) (*.f64 (pow.f64 alpha -2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (cbrt.f64 (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4)))))) |
| 1× | egg-herbie |
| 950× | associate-*r* |
| 902× | times-frac |
| 858× | associate-/r* |
| 848× | associate-/l* |
| 752× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 597 | 12528 |
| 1 | 1788 | 11564 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 -4 (pow.f64 alpha 2)) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.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 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.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 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 alpha) alpha))) 1) |
(*.f64 4 (pow.f64 alpha -2)) |
(*.f64 4 (*.f64 (/.f64 1 alpha) (/.f64 1 alpha))) |
(*.f64 (/.f64 (/.f64 4 alpha) alpha) 1) |
(*.f64 2 (*.f64 (/.f64 2 alpha) (/.f64 1 alpha))) |
(*.f64 (/.f64 2 alpha) (/.f64 2 alpha)) |
(*.f64 1 (/.f64 (/.f64 4 alpha) alpha)) |
(*.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 (/.f64 2 alpha) (sqrt.f64 (/.f64 2 alpha)))) |
(*.f64 (cbrt.f64 (/.f64 2 alpha)) (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 2 alpha)))) |
(*.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) |
(*.f64 (/.f64 4 alpha) (/.f64 1 alpha)) |
(*.f64 (pow.f64 alpha -2) 4) |
(*.f64 (/.f64 1 alpha) (/.f64 4 alpha)) |
(*.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 2 alpha))) |
(*.f64 -4 (neg.f64 (pow.f64 alpha -2))) |
(*.f64 (*.f64 (/.f64 1 alpha) (/.f64 1 alpha)) 4) |
(*.f64 (*.f64 (/.f64 2 alpha) (sqrt.f64 (/.f64 2 alpha))) (sqrt.f64 (/.f64 2 alpha))) |
(*.f64 (*.f64 2 (/.f64 2 alpha)) (/.f64 1 alpha)) |
(*.f64 (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (cbrt.f64 (/.f64 2 alpha))) |
(*.f64 (*.f64 (/.f64 2 alpha) (/.f64 1 alpha)) 2) |
(*.f64 (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 2 alpha))) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 4 (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (neg.f64 (pow.f64 alpha -2)) -4) |
(*.f64 (/.f64 (/.f64 2 alpha) alpha) 2) |
(*.f64 (/.f64 (/.f64 2 alpha) (sqrt.f64 alpha)) (/.f64 2 (sqrt.f64 alpha))) |
(*.f64 (/.f64 (/.f64 2 alpha) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 2 (cbrt.f64 alpha))) |
(*.f64 (/.f64 (/.f64 2 alpha) (neg.f64 alpha)) -2) |
(pow.f64 (/.f64 (/.f64 4 alpha) alpha) 1) |
(pow.f64 (/.f64 2 alpha) 2) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) 3) |
(pow.f64 (*.f64 (/.f64 alpha 4) alpha) -1) |
(pow.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) 1/3) |
(neg.f64 (*.f64 (pow.f64 alpha -2) -4)) |
(sqrt.f64 (/.f64 16 (pow.f64 alpha 4))) |
(log.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 alpha) alpha)))) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 alpha) alpha))) |
(exp.f64 (*.f64 2 (log.f64 (/.f64 2 alpha)))) |
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(/.f64 (-.f64 (/.f64 (/.f64 4 alpha) alpha) (neg.f64 (/.f64 -16 (pow.f64 alpha 4)))) (*.f64 (/.f64 2 alpha) (-.f64 1 (/.f64 -2 alpha)))) |
(/.f64 (*.f64 (/.f64 16 (pow.f64 alpha 4)) (-.f64 1 (/.f64 16 (pow.f64 alpha 4)))) (*.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 16 (pow.f64 alpha 4))))) |
(/.f64 (-.f64 (*.f64 (*.f64 alpha (*.f64 alpha 2)) (*.f64 alpha (*.f64 alpha 2))) (*.f64 (*.f64 4 alpha) (*.f64 4 alpha))) (*.f64 (pow.f64 alpha 3) (*.f64 alpha (+.f64 (*.f64 alpha 2) 4)))) |
(/.f64 (*.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (-.f64 1 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3))) (*.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha))) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3)))) |
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (*.f64 (pow.f64 alpha -2) -4) 3)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (-.f64 (neg.f64 (/.f64 -16 (pow.f64 alpha 4))) (neg.f64 (/.f64 8 (pow.f64 alpha 3)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (pow.f64 (/.f64 16 (pow.f64 alpha 4)) 3)) (*.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha)) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (*.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 16 (pow.f64 alpha 4))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 alpha (*.f64 alpha 2)) 3) (pow.f64 (*.f64 4 alpha) 3)) (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 (*.f64 alpha (*.f64 alpha 2)) (*.f64 alpha (*.f64 alpha 2))) (*.f64 (*.f64 4 alpha) (*.f64 alpha (+.f64 (*.f64 alpha 2) 4)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 8 (pow.f64 alpha 3)) 3) (pow.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) 3)) (*.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha))) (+.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (*.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3)))))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (-.f64 (*.f64 2 (*.f64 (/.f64 alpha 4) alpha)) alpha) (*.f64 alpha (*.f64 (/.f64 alpha 4) alpha))) |
(/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (*.f64 alpha alpha)) |
(/.f64 (-.f64 (*.f64 2 (*.f64 alpha (neg.f64 alpha))) (*.f64 alpha -4)) (neg.f64 (pow.f64 alpha 3))) |
(/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 4 (*.f64 alpha 1/2))) (*.f64 (*.f64 alpha alpha) (*.f64 alpha 1/2))) |
(/.f64 (-.f64 (*.f64 (/.f64 alpha 4) alpha) (*.f64 alpha 1/2)) (*.f64 (*.f64 (/.f64 alpha 4) alpha) (*.f64 alpha 1/2))) |
(/.f64 (-.f64 alpha (*.f64 (/.f64 4 alpha) (*.f64 alpha 1/2))) (*.f64 alpha (*.f64 alpha 1/2))) |
(/.f64 (-.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (*.f64 alpha 1/2) -4)) (*.f64 (*.f64 alpha 1/2) (*.f64 alpha (neg.f64 alpha)))) |
(/.f64 (-.f64 (*.f64 (*.f64 alpha alpha) -2) (*.f64 alpha -4)) (neg.f64 (pow.f64 alpha 3))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 alpha 4) alpha) -2) (neg.f64 alpha)) (*.f64 (*.f64 (/.f64 alpha 4) alpha) (neg.f64 alpha))) |
(/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (*.f64 alpha (neg.f64 alpha))) |
(/.f64 (-.f64 (*.f64 (*.f64 alpha (neg.f64 alpha)) -2) (*.f64 -4 (neg.f64 alpha))) (neg.f64 (neg.f64 (pow.f64 alpha 3)))) |
(/.f64 (+.f64 (*.f64 (pow.f64 alpha -2) -4) (neg.f64 (/.f64 -16 (pow.f64 alpha 4)))) (+.f64 (*.f64 (pow.f64 alpha -2) -4) (/.f64 -2 alpha))) |
(/.f64 (neg.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3))) (neg.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha))))) |
(/.f64 (neg.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4))) (neg.f64 (pow.f64 alpha 3))) |
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 -16 (pow.f64 alpha 4))) 1) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha))) |
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 -16 (pow.f64 alpha 4))) (sqrt.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha)))) (sqrt.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha)))) |
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 -16 (pow.f64 alpha 4))) (*.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha))) (cbrt.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha))))) (cbrt.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 2 alpha)))) |
(/.f64 (/.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3)) 1) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha)))) |
(/.f64 (/.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3)) (sqrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha))))) (sqrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha))))) |
(/.f64 (/.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3)) (*.f64 (cbrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha)))) (cbrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha)))))) (cbrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha))))) |
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (*.f64 alpha alpha)) alpha) |
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) 1) (pow.f64 alpha 3)) |
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (sqrt.f64 alpha)) (*.f64 (*.f64 alpha alpha) (sqrt.f64 alpha))) |
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (cbrt.f64 (pow.f64 alpha 4))) (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (*.f64 alpha alpha) (cbrt.f64 alpha))) |
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (sqrt.f64 (pow.f64 alpha 3))) (sqrt.f64 (pow.f64 alpha 3))) |
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (*.f64 alpha (sqrt.f64 alpha))) (*.f64 alpha (sqrt.f64 alpha))) |
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (*.f64 alpha (cbrt.f64 (pow.f64 alpha 4)))) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (*.f64 (*.f64 alpha alpha) (sqrt.f64 alpha))) (sqrt.f64 alpha)) |
(/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (*.f64 (*.f64 alpha alpha) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha)) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) alpha) alpha) alpha) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) alpha) (sqrt.f64 alpha)) (*.f64 alpha (sqrt.f64 alpha))) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) alpha) (cbrt.f64 (pow.f64 alpha 4))) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) alpha) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4))) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) alpha) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 alpha (cbrt.f64 alpha))) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) alpha) (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha)) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) alpha) (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha)) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) 1) alpha) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha)) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (sqrt.f64 (cbrt.f64 (pow.f64 alpha 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 (-.f64 (*.f64 2 (*.f64 (/.f64 alpha 4) alpha)) alpha) alpha) (*.f64 (/.f64 alpha 4) alpha)) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) alpha) alpha) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) 1) (*.f64 alpha alpha)) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (sqrt.f64 alpha)) (*.f64 alpha (sqrt.f64 alpha))) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (cbrt.f64 (pow.f64 alpha 4))) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4))) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 alpha (cbrt.f64 alpha))) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha)) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha)) |
(/.f64 (/.f64 (-.f64 (*.f64 2 (*.f64 alpha (neg.f64 alpha))) (*.f64 alpha -4)) alpha) (*.f64 alpha (neg.f64 alpha))) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 4 (*.f64 alpha 1/2))) (*.f64 alpha 1/2)) (*.f64 alpha alpha)) |
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 alpha 4) alpha) (*.f64 alpha 1/2)) (*.f64 alpha 1/2)) (*.f64 (/.f64 alpha 4) alpha)) |
(/.f64 (/.f64 (-.f64 alpha (*.f64 (/.f64 4 alpha) (*.f64 alpha 1/2))) (*.f64 alpha 1/2)) alpha) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (*.f64 alpha 1/2) -4)) (*.f64 alpha 1/2)) (*.f64 alpha (neg.f64 alpha))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 alpha alpha) -2) (*.f64 alpha -4)) (neg.f64 alpha)) (*.f64 alpha alpha)) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 alpha 4) alpha) -2) (neg.f64 alpha)) (neg.f64 alpha)) (*.f64 (/.f64 alpha 4) alpha)) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) alpha) (neg.f64 alpha)) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) 1) (*.f64 alpha (neg.f64 alpha))) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (cbrt.f64 (pow.f64 alpha 4))) (neg.f64 (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (neg.f64 alpha)) alpha) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (sqrt.f64 (*.f64 alpha (neg.f64 alpha)))) (sqrt.f64 (*.f64 alpha (neg.f64 alpha)))) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (*.f64 (cbrt.f64 (*.f64 alpha (neg.f64 alpha))) (cbrt.f64 (*.f64 alpha (neg.f64 alpha))))) (cbrt.f64 (*.f64 alpha (neg.f64 alpha)))) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) -1) (*.f64 alpha alpha)) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (neg.f64 (cbrt.f64 (pow.f64 alpha 4)))) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 alpha (neg.f64 alpha)) -2) (*.f64 -4 (neg.f64 alpha))) (neg.f64 alpha)) (*.f64 alpha (neg.f64 alpha))) |
(pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3) 1/3) |
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 -16 (pow.f64 alpha 4))) (+.f64 (*.f64 (pow.f64 alpha -2) -4) (/.f64 -2 alpha)))) |
(neg.f64 (/.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3)) (neg.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha)))))) |
(neg.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (neg.f64 (pow.f64 alpha 3)))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(exp.f64 (log.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(fma.f64 2 (/.f64 1 alpha) (*.f64 (pow.f64 alpha -2) -4)) |
(fma.f64 1 (/.f64 2 alpha) (*.f64 (pow.f64 alpha -2) -4)) |
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4)) |
(fma.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (cbrt.f64 (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4)) |
| Outputs |
|---|
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (*.f64 alpha alpha)) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 alpha) alpha))) 1) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(*.f64 4 (*.f64 (/.f64 1 alpha) (/.f64 1 alpha))) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 (/.f64 (/.f64 4 alpha) alpha) 1) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 2 (*.f64 (/.f64 2 alpha) (/.f64 1 alpha))) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 (/.f64 2 alpha) (/.f64 2 alpha)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 1 (/.f64 (/.f64 4 alpha) alpha)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 (/.f64 2 alpha) (sqrt.f64 (/.f64 2 alpha)))) |
(*.f64 (/.f64 2 alpha) (*.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)))) |
(*.f64 (cbrt.f64 (/.f64 2 alpha)) (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)))) |
(*.f64 (/.f64 2 alpha) (*.f64 (cbrt.f64 (/.f64 4 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 2 alpha)))) |
(*.f64 (cbrt.f64 (/.f64 4 (*.f64 alpha alpha))) (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 2 alpha)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4)))) |
(*.f64 (cbrt.f64 (/.f64 4 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 2 alpha)))) |
(*.f64 (/.f64 2 alpha) (*.f64 (cbrt.f64 (/.f64 4 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 2 alpha)))) |
(*.f64 (cbrt.f64 (/.f64 4 (*.f64 alpha alpha))) (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 2 alpha)))) |
(*.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) |
(*.f64 (cbrt.f64 (/.f64 4 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4)))) |
(*.f64 (/.f64 4 alpha) (/.f64 1 alpha)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 (pow.f64 alpha -2) 4) |
(*.f64 4 (pow.f64 alpha -2)) |
(*.f64 (/.f64 1 alpha) (/.f64 4 alpha)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 2 alpha))) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 -4 (neg.f64 (pow.f64 alpha -2))) |
(*.f64 4 (pow.f64 alpha -2)) |
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(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) 1) alpha) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha))) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (*.f64 alpha (cbrt.f64 alpha))) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha)) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (*.f64 alpha (cbrt.f64 alpha))) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) (sqrt.f64 (cbrt.f64 (pow.f64 alpha 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 alpha 4))))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 alpha 4))) (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2)))) |
(/.f64 (/.f64 (-.f64 (*.f64 2 (*.f64 (/.f64 alpha 4) alpha)) alpha) alpha) (*.f64 (/.f64 alpha 4) alpha)) |
(/.f64 (-.f64 (*.f64 2 (*.f64 alpha (/.f64 alpha 4))) alpha) (*.f64 alpha (*.f64 alpha (/.f64 alpha 4)))) |
(*.f64 (/.f64 (+.f64 (/.f64 alpha 2) -1) (*.f64 alpha alpha)) 4) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) alpha) alpha) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) 1) (*.f64 alpha alpha)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (sqrt.f64 alpha)) (*.f64 alpha (sqrt.f64 alpha))) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha))) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (cbrt.f64 (pow.f64 alpha 4))) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)))) |
(/.f64 (fma.f64 alpha 2 -4) (*.f64 (cbrt.f64 (pow.f64 alpha 4)) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4))) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)))) |
(/.f64 (fma.f64 alpha 2 -4) (*.f64 (cbrt.f64 (pow.f64 alpha 4)) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 alpha (cbrt.f64 alpha))) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (*.f64 alpha (cbrt.f64 alpha))) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha)) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha))) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha 2) (*.f64 alpha (/.f64 4 alpha))) (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha)) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (*.f64 alpha (cbrt.f64 alpha))) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 (-.f64 (*.f64 2 (*.f64 alpha (neg.f64 alpha))) (*.f64 alpha -4)) alpha) (*.f64 alpha (neg.f64 alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 4 (*.f64 alpha 1/2))) (*.f64 alpha 1/2)) (*.f64 alpha alpha)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 alpha 4) alpha) (*.f64 alpha 1/2)) (*.f64 alpha 1/2)) (*.f64 (/.f64 alpha 4) alpha)) |
(/.f64 (-.f64 (*.f64 2 (*.f64 alpha (/.f64 alpha 4))) alpha) (*.f64 alpha (*.f64 alpha (/.f64 alpha 4)))) |
(*.f64 (/.f64 (+.f64 (/.f64 alpha 2) -1) (*.f64 alpha alpha)) 4) |
(/.f64 (/.f64 (-.f64 alpha (*.f64 (/.f64 4 alpha) (*.f64 alpha 1/2))) (*.f64 alpha 1/2)) alpha) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (*.f64 alpha 1/2) -4)) (*.f64 alpha 1/2)) (*.f64 alpha (neg.f64 alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 alpha alpha) -2) (*.f64 alpha -4)) (neg.f64 alpha)) (*.f64 alpha alpha)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 alpha 4) alpha) -2) (neg.f64 alpha)) (neg.f64 alpha)) (*.f64 (/.f64 alpha 4) alpha)) |
(/.f64 (-.f64 (*.f64 2 (*.f64 alpha (/.f64 alpha 4))) alpha) (*.f64 alpha (*.f64 alpha (/.f64 alpha 4)))) |
(*.f64 (/.f64 (+.f64 (/.f64 alpha 2) -1) (*.f64 alpha alpha)) 4) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) alpha) (neg.f64 alpha)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) 1) (*.f64 alpha (neg.f64 alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (cbrt.f64 (pow.f64 alpha 4))) (neg.f64 (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)))) |
(/.f64 (fma.f64 alpha 2 -4) (*.f64 (cbrt.f64 (pow.f64 alpha 4)) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (neg.f64 alpha)) alpha) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (sqrt.f64 (*.f64 alpha (neg.f64 alpha)))) (sqrt.f64 (*.f64 alpha (neg.f64 alpha)))) |
(/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (*.f64 (sqrt.f64 (*.f64 alpha (neg.f64 alpha))) (sqrt.f64 (*.f64 alpha (neg.f64 alpha))))) |
(/.f64 (fma.f64 alpha -2 4) (*.f64 (sqrt.f64 (*.f64 alpha (neg.f64 alpha))) (sqrt.f64 (*.f64 alpha (neg.f64 alpha))))) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (*.f64 (cbrt.f64 (*.f64 alpha (neg.f64 alpha))) (cbrt.f64 (*.f64 alpha (neg.f64 alpha))))) (cbrt.f64 (*.f64 alpha (neg.f64 alpha)))) |
(/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (*.f64 (cbrt.f64 (*.f64 alpha (neg.f64 alpha))) (*.f64 (cbrt.f64 (*.f64 alpha (neg.f64 alpha))) (cbrt.f64 (*.f64 alpha (neg.f64 alpha)))))) |
(/.f64 (fma.f64 alpha -2 4) (*.f64 (cbrt.f64 (*.f64 alpha (neg.f64 alpha))) (*.f64 (cbrt.f64 (*.f64 alpha (neg.f64 alpha))) (cbrt.f64 (*.f64 alpha (neg.f64 alpha)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) -1) (*.f64 alpha alpha)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(/.f64 (/.f64 (-.f64 (*.f64 alpha -2) (*.f64 (/.f64 4 alpha) (neg.f64 alpha))) (neg.f64 (cbrt.f64 (pow.f64 alpha 4)))) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (*.f64 alpha (fma.f64 alpha 2 -4)) (*.f64 (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)))) |
(/.f64 (fma.f64 alpha 2 -4) (*.f64 (cbrt.f64 (pow.f64 alpha 4)) (pow.f64 (cbrt.f64 alpha) 2))) |
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 alpha (neg.f64 alpha)) -2) (*.f64 -4 (neg.f64 alpha))) (neg.f64 alpha)) (*.f64 alpha (neg.f64 alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 3) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(pow.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3) 1/3) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 -16 (pow.f64 alpha 4))) (+.f64 (*.f64 (pow.f64 alpha -2) -4) (/.f64 -2 alpha)))) |
(/.f64 (neg.f64 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -16 (pow.f64 alpha 4)))) (fma.f64 (pow.f64 alpha -2) -4 (/.f64 -2 alpha))) |
(/.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 -4 (*.f64 alpha alpha))) (fma.f64 (pow.f64 alpha -2) -4 (/.f64 -2 alpha))) |
(neg.f64 (/.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3)) (neg.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (/.f64 4 alpha) alpha)))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (pow.f64 (/.f64 4 (*.f64 alpha alpha)) 3))) (neg.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 8 (pow.f64 alpha 3)))))) |
(/.f64 (+.f64 (/.f64 -8 (pow.f64 alpha 3)) (pow.f64 (/.f64 4 (*.f64 alpha alpha)) 3)) (+.f64 (/.f64 -16 (pow.f64 alpha 4)) (+.f64 (/.f64 -8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha))))) |
(neg.f64 (/.f64 (*.f64 alpha (-.f64 (*.f64 alpha 2) 4)) (neg.f64 (pow.f64 alpha 3)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3)) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(exp.f64 (log.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(fma.f64 2 (/.f64 1 alpha) (*.f64 (pow.f64 alpha -2) -4)) |
(fma.f64 (pow.f64 alpha -2) -4 (/.f64 2 alpha)) |
(fma.f64 1 (/.f64 2 alpha) (*.f64 (pow.f64 alpha -2) -4)) |
(fma.f64 (pow.f64 alpha -2) -4 (/.f64 2 alpha)) |
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4)) |
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 -4 (pow.f64 alpha -2))) |
(fma.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (cbrt.f64 (/.f64 2 alpha)) (*.f64 (pow.f64 alpha -2) -4)) |
(fma.f64 (cbrt.f64 (/.f64 4 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 2 alpha)) (*.f64 -4 (pow.f64 alpha -2))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) | |
| ✓ | 1.8b | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1) |
| ✓ | 1.9b | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) |
| 3.7b | (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) -1) |
Compiled 319 to 180 computations (43.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | beta | @ | 0 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) |
| 0.0ms | alpha | @ | inf | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) |
| 0.0ms | beta | @ | -inf | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1) |
| 0.0ms | beta | @ | inf | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1) |
| 0.0ms | alpha | @ | -inf | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) |
| 1× | batch-egg-rewrite |
| 1630× | associate-/l* |
| 1356× | associate-/r/ |
| 350× | +-commutative |
| 324× | add-sqr-sqrt |
| 314× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 62 |
| 1 | 309 | 62 |
| 2 | 4532 | 62 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))) (#(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 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))) (#(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 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((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))) (#(struct:change #<rule egg-rr> (2) ((x 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))))) |
| 1× | egg-herbie |
| 1330× | associate-+r- |
| 746× | times-frac |
| 628× | fma-def |
| 618× | +-commutative |
| 482× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 460 | 11850 |
| 1 | 1479 | 11340 |
| 2 | 7593 | 11284 |
| 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 1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 -1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha))))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 -1 (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (/.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 (/.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 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 beta 4)))))) |
(/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (*.f64 -1 (/.f64 alpha beta))) (+.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)) (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)))) (+.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)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4)))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))) 1) |
(-.f64 (+.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)))) 1) |
(-.f64 (+.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 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))))) 1) |
-2 |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) (+.f64 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 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) (+.f64 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)))))) |
-2 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 2) |
(-.f64 (+.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)))) 2) |
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(-.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 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(-.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) |
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(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 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))))) |
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(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) |
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(-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2) |
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) |
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
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(*.f64 (/.f64 (+.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))) 3) -1)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.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 (*.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 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 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))) 2)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
(*.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 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 3))) (-.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)) (*.f64 (-.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 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))))) |
(/.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 -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 -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 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))) |
(/.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 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (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))) 2)))) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 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 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 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (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 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))))) |
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) 1) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 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 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 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) |
| 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))) |
(-.f64 (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))) 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))) |
(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 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))) (/.f64 alpha (+.f64 alpha 2))))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) |
(-.f64 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))) (neg.f64 (/.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 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (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 (fma.f64 alpha -1 -2) alpha) (*.f64 beta beta)) (+.f64 alpha 2))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) (/.f64 (*.f64 (-.f64 -2 alpha) (-.f64 (-.f64 -2 alpha) alpha)) (*.f64 beta 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 (fma.f64 alpha -1 -2) alpha) (*.f64 beta beta)) (+.f64 alpha 2))) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) (-.f64 (fma.f64 alpha -1 -2) alpha))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 (/.f64 (*.f64 (-.f64 -2 alpha) (-.f64 (-.f64 -2 alpha) alpha)) (*.f64 beta beta)) (+.f64 (-.f64 2 (/.f64 alpha beta)) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) (-.f64 (-.f64 -2 alpha) 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)))) |
(-.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (+.f64 2 beta) (/.f64 (*.f64 alpha alpha) 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))))) |
(+.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 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))))))) |
(+.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.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 2 beta) (/.f64 (*.f64 alpha alpha) beta)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))))) |
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(+.f64 -1 (-.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 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) |
(-.f64 (+.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 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))))) 1) |
(+.f64 (fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (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))))) -1) |
(+.f64 -1 (-.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 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)))))) |
-2 |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) |
(+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) -2) |
(fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) -2)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) (+.f64 2 (/.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 2 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))))) |
(-.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (+.f64 2 (/.f64 (+.f64 2 beta) (/.f64 (*.f64 alpha alpha) beta)))) |
(+.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (-.f64 -2 (/.f64 (+.f64 2 beta) (/.f64 (*.f64 alpha alpha) beta)))) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) (+.f64 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)))))) |
(+.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 2 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) (neg.f64 (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))))))) |
(+.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.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 2 (/.f64 (+.f64 2 beta) (/.f64 (*.f64 alpha alpha) beta))) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))))) |
(+.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (/.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 -2 (-.f64 (/.f64 (+.f64 2 beta) (/.f64 (*.f64 alpha alpha) beta)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)))))) |
-2 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 2) |
(fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) -2) |
(fma.f64 -1 (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha) -2) |
(-.f64 -2 (/.f64 (fma.f64 beta -1 (-.f64 -2 beta)) alpha)) |
(-.f64 (+.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)))) 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) |
(fma.f64 -1 (+.f64 (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta)) (*.f64 alpha alpha))) -2) |
(-.f64 (-.f64 -2 (/.f64 (fma.f64 beta -1 (-.f64 -2 beta)) alpha)) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta)) (*.f64 alpha alpha))) |
(-.f64 (+.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))))) 2) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))))) 2)) |
(+.f64 (-.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) beta)) (*.f64 alpha alpha))) (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) -2)) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (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 (+.f64 2 beta) beta)) (*.f64 alpha alpha))) (-.f64 -2 (/.f64 (fma.f64 beta -1 (-.f64 -2 beta)) alpha)))) |
(-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 0) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.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)))))) 1) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.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 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -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 (-.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 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) |
(-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(*.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 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(*.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 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(*.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 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))) |
(/.f64 (+.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))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))) |
(*.f64 (/.f64 1 (+.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 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.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 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))))) |
(/.f64 (+.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))) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))) |
(*.f64 (/.f64 (+.f64 -1 (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 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 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 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 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 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 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 (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 -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 (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 alpha (+.f64 2 beta))) 2)) (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.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 (+.f64 alpha 2) beta)) 2)) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3))) (-.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))))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))) (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (/.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 beta (+.f64 alpha 2))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
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(*.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (neg.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
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(*.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (neg.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))))) |
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(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)))) (/.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)))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3))))) |
(/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) (/.f64 (/.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (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))) 2)))) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))) (cbrt.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)))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)))) |
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))))) |
(/.f64 (-.f64 (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 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) (/.f64 1 (-.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)))))) |
(/.f64 (+.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))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))) |
(/.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 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) |
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 1 (-.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 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) (neg.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)))))) |
(/.f64 (-.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))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))) |
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) 1) |
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 2) |
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 3) |
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) 3) 1/3) |
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) 2)) |
(sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2)) |
(fabs.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))) |
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) 3)) |
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(expm1.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(expm1.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(expm1.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(exp.f64 (log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) 1)) |
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))) |
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) -1) |
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) |
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(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) |
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(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 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.6b | (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 3) |
| ✓ | 15.5b | (cbrt.f64 (/.f64 beta alpha)) |
Compiled 18 to 7 computations (61.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | alpha | @ | inf | (cbrt.f64 (/.f64 beta alpha)) |
| 2.0ms | beta | @ | 0 | (cbrt.f64 (/.f64 beta alpha)) |
| 1.0ms | beta | @ | -inf | (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 3) |
| 1.0ms | beta | @ | 0 | (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 3) |
| 1.0ms | alpha | @ | inf | (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 3) |
| 1× | batch-egg-rewrite |
| 1650× | add-sqr-sqrt |
| 1618× | *-un-lft-identity |
| 1528× | add-cube-cbrt |
| 1510× | add-cbrt-cube |
| 160× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 18 |
| 1 | 190 | 18 |
| 2 | 2116 | 18 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (/.f64 beta alpha)) |
(pow.f64 (cbrt.f64 (/.f64 beta alpha)) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 beta alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 beta alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 beta alpha) 1/6) (pow.f64 (/.f64 beta alpha) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 beta alpha))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 beta alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 beta alpha))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 beta alpha))) 2) (cbrt.f64 (cbrt.f64 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 beta) (cbrt.f64 (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 beta) (/.f64 1 (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 beta) (pow.f64 (/.f64 1 alpha) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 beta alpha)) 1/3) (pow.f64 (sqrt.f64 (/.f64 beta alpha)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 alpha) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 beta) (cbrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 beta)) (cbrt.f64 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 beta)) (neg.f64 (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 beta alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta alpha) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 beta alpha) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 beta alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 beta alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 beta alpha)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 beta alpha)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 beta alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 beta alpha)) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 beta alpha) 1/6) (*.f64 (pow.f64 (/.f64 beta alpha) 1/6) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (cbrt.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 beta alpha))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 beta alpha))) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 beta beta)) (*.f64 (cbrt.f64 beta) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) beta)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 beta) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) 1) (cbrt.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (pow.f64 (/.f64 beta alpha) 1/6)) (pow.f64 (/.f64 beta alpha) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 beta alpha))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 beta (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) 1) (/.f64 (cbrt.f64 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 beta) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 beta alpha) 1/6) 3) (pow.f64 (pow.f64 (/.f64 beta alpha) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 beta alpha))) 2) 3) (cbrt.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 beta alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 alpha beta) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 beta) (/.f64 alpha (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 beta beta)) (/.f64 alpha (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 beta) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (cbrt.f64 beta)) (cbrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)) (cbrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 beta 1) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 beta (sqrt.f64 alpha)) (sqrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 beta (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 beta)) (neg.f64 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 beta (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 beta alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 beta alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 beta alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 beta alpha))))))) |
| 1× | egg-herbie |
| 974× | unswap-sqr |
| 940× | times-frac |
| 774× | associate-/r* |
| 768× | associate-/l* |
| 636× | associate-*r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 166 | 918 |
| 1 | 354 | 870 |
| 2 | 1227 | 870 |
| 3 | 7049 | 870 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 beta alpha)))) 1) |
(*.f64 (cbrt.f64 (/.f64 beta alpha)) 1) |
(*.f64 1 (cbrt.f64 (/.f64 beta alpha))) |
(*.f64 (pow.f64 (/.f64 beta alpha) 1/6) (pow.f64 (/.f64 beta alpha) 1/6)) |
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 beta alpha))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 beta alpha))) 2)) |
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 beta alpha))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) 1/3)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 beta alpha))) 2) (cbrt.f64 (cbrt.f64 (/.f64 beta alpha)))) |
(*.f64 (cbrt.f64 beta) (cbrt.f64 (/.f64 1 alpha))) |
(*.f64 (cbrt.f64 beta) (/.f64 1 (cbrt.f64 alpha))) |
(*.f64 (cbrt.f64 beta) (pow.f64 (/.f64 1 alpha) 1/3)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 beta alpha)))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 beta alpha))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 beta alpha)) 1/3) (pow.f64 (sqrt.f64 (/.f64 beta alpha)) 1/3)) |
(/.f64 1 (cbrt.f64 (/.f64 alpha beta))) |
(/.f64 1 (/.f64 (cbrt.f64 alpha) (cbrt.f64 beta))) |
(/.f64 (cbrt.f64 beta) (cbrt.f64 alpha)) |
(/.f64 (cbrt.f64 (neg.f64 beta)) (cbrt.f64 (neg.f64 alpha))) |
(/.f64 (neg.f64 (cbrt.f64 beta)) (neg.f64 (cbrt.f64 alpha))) |
(pow.f64 (cbrt.f64 (/.f64 beta alpha)) 1) |
(pow.f64 (/.f64 beta alpha) 1/3) |
(pow.f64 (pow.f64 (/.f64 beta alpha) 1/6) 2) |
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 beta alpha))) 3) |
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)) |
(log.f64 (exp.f64 (cbrt.f64 (/.f64 beta alpha)))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 beta alpha))))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 beta alpha)))) |
(exp.f64 (log.f64 (cbrt.f64 (/.f64 beta alpha)))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 beta alpha))) 1)) |
(exp.f64 (*.f64 (log.f64 (/.f64 beta alpha)) 1/3)) |
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 beta alpha)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta alpha))) 1) |
(*.f64 beta (/.f64 1 alpha)) |
(*.f64 (cbrt.f64 (/.f64 beta alpha)) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)) |
(*.f64 (/.f64 beta alpha) 1) |
(*.f64 1 (/.f64 beta alpha)) |
(*.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 (/.f64 beta alpha))) |
(*.f64 (pow.f64 (/.f64 beta alpha) 1/6) (*.f64 (pow.f64 (/.f64 beta alpha) 1/6) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2))) |
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 alpha))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (cbrt.f64 (/.f64 beta alpha))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 beta alpha))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 beta alpha))) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2))) |
(*.f64 (cbrt.f64 (*.f64 beta beta)) (*.f64 (cbrt.f64 beta) (/.f64 1 alpha))) |
(*.f64 (/.f64 1 alpha) beta) |
(*.f64 (neg.f64 beta) (/.f64 1 (neg.f64 alpha))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) 1) (cbrt.f64 (/.f64 beta alpha))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (pow.f64 (/.f64 beta alpha) 1/6)) (pow.f64 (/.f64 beta alpha) 1/6)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 beta alpha))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 beta alpha)))) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 beta (sqrt.f64 alpha))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha))) |
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) alpha)) |
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) 1) (/.f64 (cbrt.f64 beta) alpha)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 beta) (sqrt.f64 alpha))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 beta alpha) 1/6) 3) (pow.f64 (pow.f64 (/.f64 beta alpha) 1/6) 3)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 beta alpha))) 2) 3) (cbrt.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
(/.f64 1 (/.f64 alpha beta)) |
(/.f64 1 (/.f64 (/.f64 alpha beta) 1)) |
(/.f64 (sqrt.f64 beta) (/.f64 alpha (sqrt.f64 beta))) |
(/.f64 (cbrt.f64 (*.f64 beta beta)) (/.f64 alpha (cbrt.f64 beta))) |
(/.f64 (neg.f64 beta) (neg.f64 alpha)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (cbrt.f64 beta)) (cbrt.f64 alpha)) |
(/.f64 (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)) (cbrt.f64 alpha)) |
(/.f64 (/.f64 beta 1) alpha) |
(/.f64 (/.f64 beta (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(/.f64 (/.f64 beta (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha)) |
(/.f64 -1 (neg.f64 (/.f64 alpha beta))) |
(/.f64 (neg.f64 (neg.f64 beta)) (neg.f64 (neg.f64 alpha))) |
(neg.f64 (/.f64 beta (neg.f64 alpha))) |
(sqrt.f64 (pow.f64 (/.f64 beta alpha) 2)) |
(log.f64 (exp.f64 (/.f64 beta alpha))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta alpha)))) |
(cbrt.f64 (pow.f64 (/.f64 beta alpha) 3)) |
(expm1.f64 (log1p.f64 (/.f64 beta alpha))) |
(exp.f64 (log.f64 (/.f64 beta alpha))) |
(exp.f64 (*.f64 (log.f64 (/.f64 beta alpha)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 beta alpha))) |
| Outputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 beta alpha)))) 1) |
(cbrt.f64 (/.f64 beta alpha)) |
(*.f64 (cbrt.f64 (/.f64 beta alpha)) 1) |
(cbrt.f64 (/.f64 beta alpha)) |
(*.f64 1 (cbrt.f64 (/.f64 beta alpha))) |
(cbrt.f64 (/.f64 beta alpha)) |
(*.f64 (pow.f64 (/.f64 beta alpha) 1/6) (pow.f64 (/.f64 beta alpha) 1/6)) |
(cbrt.f64 (/.f64 beta alpha)) |
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 beta alpha))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 beta alpha))) 2)) |
(cbrt.f64 (/.f64 beta alpha)) |
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 beta alpha))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) 1/3)) |
(cbrt.f64 (/.f64 beta alpha)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 beta alpha))) 2) (cbrt.f64 (cbrt.f64 (/.f64 beta alpha)))) |
(cbrt.f64 (/.f64 beta alpha)) |
(*.f64 (cbrt.f64 beta) (cbrt.f64 (/.f64 1 alpha))) |
(*.f64 (cbrt.f64 beta) (/.f64 1 (cbrt.f64 alpha))) |
(/.f64 (cbrt.f64 beta) (cbrt.f64 alpha)) |
(*.f64 (cbrt.f64 beta) (pow.f64 (/.f64 1 alpha) 1/3)) |
(*.f64 (cbrt.f64 beta) (cbrt.f64 (/.f64 1 alpha))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 beta alpha)))) |
(cbrt.f64 (/.f64 beta alpha)) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 beta alpha))) |
(cbrt.f64 (/.f64 beta alpha)) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 beta alpha)) 1/3) (pow.f64 (sqrt.f64 (/.f64 beta alpha)) 1/3)) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 beta alpha))) (cbrt.f64 (sqrt.f64 (/.f64 beta alpha)))) |
(/.f64 1 (cbrt.f64 (/.f64 alpha beta))) |
(/.f64 1 (/.f64 (cbrt.f64 alpha) (cbrt.f64 beta))) |
(*.f64 (cbrt.f64 beta) (/.f64 1 (cbrt.f64 alpha))) |
(/.f64 (cbrt.f64 beta) (cbrt.f64 alpha)) |
(/.f64 (cbrt.f64 beta) (cbrt.f64 alpha)) |
(*.f64 (cbrt.f64 beta) (/.f64 1 (cbrt.f64 alpha))) |
(/.f64 (cbrt.f64 (neg.f64 beta)) (cbrt.f64 (neg.f64 alpha))) |
(/.f64 (neg.f64 (cbrt.f64 beta)) (neg.f64 (cbrt.f64 alpha))) |
(*.f64 (cbrt.f64 beta) (/.f64 1 (cbrt.f64 alpha))) |
(/.f64 (cbrt.f64 beta) (cbrt.f64 alpha)) |
(pow.f64 (cbrt.f64 (/.f64 beta alpha)) 1) |
(cbrt.f64 (/.f64 beta alpha)) |
(pow.f64 (/.f64 beta alpha) 1/3) |
(cbrt.f64 (/.f64 beta alpha)) |
(pow.f64 (pow.f64 (/.f64 beta alpha) 1/6) 2) |
(cbrt.f64 (/.f64 beta alpha)) |
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 beta alpha))) 3) |
(cbrt.f64 (/.f64 beta alpha)) |
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)) |
(cbrt.f64 (/.f64 beta alpha)) |
(log.f64 (exp.f64 (cbrt.f64 (/.f64 beta alpha)))) |
(cbrt.f64 (/.f64 beta alpha)) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 beta alpha))))) |
(cbrt.f64 (/.f64 beta alpha)) |
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 beta alpha)))) |
(cbrt.f64 (/.f64 beta alpha)) |
(exp.f64 (log.f64 (cbrt.f64 (/.f64 beta alpha)))) |
(cbrt.f64 (/.f64 beta alpha)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 beta alpha))) 1)) |
(cbrt.f64 (/.f64 beta alpha)) |
(exp.f64 (*.f64 (log.f64 (/.f64 beta alpha)) 1/3)) |
(cbrt.f64 (/.f64 beta alpha)) |
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 beta alpha)))) |
(cbrt.f64 (/.f64 beta alpha)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta alpha))) 1) |
(/.f64 beta alpha) |
(*.f64 beta (/.f64 1 alpha)) |
(/.f64 beta alpha) |
(*.f64 (cbrt.f64 (/.f64 beta alpha)) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)) |
(/.f64 beta alpha) |
(*.f64 (/.f64 beta alpha) 1) |
(/.f64 beta alpha) |
(*.f64 1 (/.f64 beta alpha)) |
(/.f64 beta alpha) |
(*.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
(*.f64 (pow.f64 (/.f64 beta alpha) 1/6) (*.f64 (pow.f64 (/.f64 beta alpha) 1/6) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2))) |
(/.f64 beta alpha) |
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 alpha))) |
(/.f64 beta alpha) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (cbrt.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 beta alpha))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 beta alpha))) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2))) |
(/.f64 beta alpha) |
(*.f64 (cbrt.f64 (*.f64 beta beta)) (*.f64 (cbrt.f64 beta) (/.f64 1 alpha))) |
(*.f64 (cbrt.f64 (*.f64 beta beta)) (/.f64 (cbrt.f64 beta) alpha)) |
(*.f64 (/.f64 1 alpha) beta) |
(/.f64 beta alpha) |
(*.f64 (neg.f64 beta) (/.f64 1 (neg.f64 alpha))) |
(/.f64 beta alpha) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) 1) (cbrt.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (pow.f64 (/.f64 beta alpha) 1/6)) (pow.f64 (/.f64 beta alpha) 1/6)) |
(/.f64 beta alpha) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 beta alpha))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 beta alpha)))) |
(/.f64 beta alpha) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 beta (sqrt.f64 alpha))) |
(/.f64 beta alpha) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha))) |
(/.f64 beta alpha) |
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) alpha)) |
(/.f64 beta alpha) |
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha))) |
(/.f64 beta alpha) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) 1) (/.f64 (cbrt.f64 beta) alpha)) |
(*.f64 (cbrt.f64 (*.f64 beta beta)) (*.f64 (cbrt.f64 beta) (/.f64 1 alpha))) |
(*.f64 (cbrt.f64 (*.f64 beta beta)) (/.f64 (cbrt.f64 beta) alpha)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 beta) (sqrt.f64 alpha))) |
(*.f64 (cbrt.f64 (*.f64 beta beta)) (*.f64 (cbrt.f64 beta) (/.f64 1 alpha))) |
(*.f64 (cbrt.f64 (*.f64 beta beta)) (/.f64 (cbrt.f64 beta) alpha)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 beta alpha) 1/6) 3) (pow.f64 (pow.f64 (/.f64 beta alpha) 1/6) 3)) |
(/.f64 beta alpha) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 beta alpha))) 2) 3) (cbrt.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 1 (/.f64 alpha beta)) |
(/.f64 beta alpha) |
(/.f64 1 (/.f64 (/.f64 alpha beta) 1)) |
(/.f64 beta alpha) |
(/.f64 (sqrt.f64 beta) (/.f64 alpha (sqrt.f64 beta))) |
(/.f64 beta alpha) |
(/.f64 (cbrt.f64 (*.f64 beta beta)) (/.f64 alpha (cbrt.f64 beta))) |
(*.f64 (cbrt.f64 (*.f64 beta beta)) (*.f64 (cbrt.f64 beta) (/.f64 1 alpha))) |
(*.f64 (cbrt.f64 (*.f64 beta beta)) (/.f64 (cbrt.f64 beta) alpha)) |
(/.f64 (neg.f64 beta) (neg.f64 alpha)) |
(/.f64 beta alpha) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (cbrt.f64 beta)) (cbrt.f64 alpha)) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (/.f64 (cbrt.f64 alpha) (cbrt.f64 beta))) |
(*.f64 (/.f64 (cbrt.f64 beta) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (/.f64 (cbrt.f64 beta) (cbrt.f64 alpha))) |
(/.f64 (*.f64 (cbrt.f64 beta) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)) (cbrt.f64 alpha)) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (/.f64 (cbrt.f64 alpha) (cbrt.f64 beta))) |
(*.f64 (/.f64 (cbrt.f64 beta) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (/.f64 (cbrt.f64 beta) (cbrt.f64 alpha))) |
(/.f64 (/.f64 beta 1) alpha) |
(/.f64 beta alpha) |
(/.f64 (/.f64 beta (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(/.f64 beta alpha) |
(/.f64 (/.f64 beta (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha)) |
(/.f64 beta alpha) |
(/.f64 -1 (neg.f64 (/.f64 alpha beta))) |
(/.f64 beta alpha) |
(/.f64 (neg.f64 (neg.f64 beta)) (neg.f64 (neg.f64 alpha))) |
(/.f64 beta alpha) |
(neg.f64 (/.f64 beta (neg.f64 alpha))) |
(/.f64 beta alpha) |
(sqrt.f64 (pow.f64 (/.f64 beta alpha) 2)) |
(/.f64 beta alpha) |
(log.f64 (exp.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta alpha)))) |
(/.f64 beta alpha) |
(cbrt.f64 (pow.f64 (/.f64 beta alpha) 3)) |
(/.f64 beta alpha) |
(expm1.f64 (log1p.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
(exp.f64 (log.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
(exp.f64 (*.f64 (log.f64 (/.f64 beta alpha)) 1)) |
(/.f64 beta alpha) |
(log1p.f64 (expm1.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
Compiled 75688 to 49088 computations (35.1% saved)
17 alts after pruning (7 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1207 | 4 | 1211 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 9 | 10 |
| Total | 1208 | 17 | 1225 |
| Status | Error | Program |
|---|---|---|
| 61.5b | (pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 beta alpha)))) 1) 3) | |
| 62.1b | (pow.f64 (log.f64 (exp.f64 (cbrt.f64 (/.f64 beta alpha)))) 3) | |
| ✓ | 59.6b | (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 3) |
| 47.5b | (/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) | |
| ✓ | 44.3b | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
| ✓ | 46.6b | (/.f64 (/.f64 2 alpha) 2) |
| ✓ | 47.5b | (/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
| ✓ | 35.4b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| 37.3b | (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) | |
| ✓ | 18.8b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| ✓ | 39.0b | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| 39.9b | (/.f64 (*.f64 (/.f64 1 (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) -1)) 2) | |
| 38.0b | (/.f64 (*.f64 (/.f64 1 (+.f64 -1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) -1)) 2) | |
| 46.0b | (/.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) | |
| ✓ | 59.6b | (/.f64 beta alpha) |
| ✓ | 37.3b | (/.f64 2 2) |
| ✓ | 36.3b | (/.f64 1 2) |
Compiled 252 to 190 computations (24.6% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
(/.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 2 (/.f64 4 alpha)) alpha) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
(/.f64 (*.f64 (/.f64 1 (+.f64 -1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) -1)) 2) |
(/.f64 (*.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) -1)) 2) |
(/.f64 (*.f64 (/.f64 1 (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) -1)) 2) |
(/.f64 (*.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) -1)) 2) |
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2) |
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2) |
(/.f64 (*.f64 (/.f64 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)) 2) |
(pow.f64 (cbrt.f64 (/.f64 beta alpha)) 3) |
(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (/.f64 beta alpha)))) 3) |
(pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 beta alpha)))) 1) 3) |
| 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:
| 65.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 58.0ms | alpha |
| 54.0ms | beta |
| 9.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 6.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| Error | Segments | Branch |
|---|---|---|
| 3.0b | 2 | alpha |
| 14.3b | 5 | beta |
| 0.3b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.3b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.3b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 444 to 293 computations (34% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999979711026 | -0.928159438029322 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
(/.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 2 (/.f64 4 alpha)) alpha) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
2 calls:
| 33.0ms | beta |
| 14.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 4.1b | 2 | alpha |
| 14.7b | 5 | beta |
Compiled 95 to 74 computations (22.1% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 0.4541188906673655 | 6.877297020826299 |
| 10.0ms | 96× | body | 256 | valid |
Compiled 164 to 135 computations (17.7% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
(/.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) |
2 calls:
| 43.0ms | beta |
| 11.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 6.7b | 2 | alpha |
| 16.0b | 3 | beta |
Compiled 66 to 52 computations (21.2% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 0.4541188906673655 | 6.877297020826299 |
| 11.0ms | 96× | body | 256 | valid |
Compiled 140 to 117 computations (16.4% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
(/.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:
| 46.0ms | beta |
| 23.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 18.7b | 5 | alpha |
| 17.0b | 4 | beta |
Compiled 48 to 38 computations (20.8% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 45.0ms | 4.90611162822362e-9 | 4.751538988094324 |
| 20.0ms | 4.3265999134457105e-141 | 2.3177572105276298e-138 |
| 40.0ms | 2.3475279588894737e-193 | 4.958870809698202e-193 |
| 50.0ms | 250× | body | 256 | valid |
| 43.0ms | 67× | body | 1024 | valid |
| 4.0ms | 26× | body | 512 | valid |
| 3.0ms | 9× | body | 2048 | valid |
Compiled 398 to 358 computations (10.1% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
(/.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:
| 24.0ms | alpha |
| 17.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 18.9b | 5 | alpha |
| 17.1b | 4 | beta |
Compiled 34 to 26 computations (23.5% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 69.0ms | 58975.899653707755 | 138430789128411.73 |
| 50.0ms | 4.3265999134457105e-141 | 2.3177572105276298e-138 |
| 12.0ms | 2.3475279588894737e-193 | 4.958870809698202e-193 |
| 57.0ms | 245× | body | 256 | valid |
| 15.0ms | 65× | body | 1024 | valid |
| 5.0ms | 29× | body | 512 | valid |
| 4.0ms | 13× | body | 2048 | valid |
Compiled 310 to 292 computations (5.8% saved)
Total -43.4b remaining (-227.9%)
Threshold costs -43.4b (-227.9%)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
(/.f64 (+.f64 -1 1) 2) |
| Outputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
2 calls:
| 16.0ms | alpha |
| 7.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 29.6b | 5 | alpha |
| 19.0b | 2 | beta |
Compiled 22 to 18 computations (18.2% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 58975.899653707755 | 138430789128411.73 |
| 9.0ms | 97× | body | 256 | valid |
| 9.0ms | 35× | body | 1024 | valid |
| 2.0ms | 10× | body | 512 | valid |
| 1.0ms | 2× | body | 2048 | valid |
Compiled 128 to 123 computations (3.9% saved)
| 1× | egg-herbie |
| 18× | +-commutative |
| 6× | *-commutative |
| 4× | sub-neg |
| 2× | 1-exp |
| 2× | neg-mul-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 335 |
| 1 | 69 | 335 |
| 2 | 73 | 335 |
| 3 | 75 | 335 |
| 4 | 76 | 335 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4278419646001971/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)) |
(if (<=.f64 alpha 7656119366529843/1125899906842624) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)) |
(if (<=.f64 alpha 7656119366529843/1125899906842624) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2)) |
(if (<=.f64 beta 5034114437028717/10273702932711667006330058365000251299903007427389011444332579888806117488861485980690754953667164943802701111047223081470741078613640241920171513223929454785068796232672743355843093277117817807170494632296448) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta 7894517309150201/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2)))) |
(if (<=.f64 beta 154105543990675/321053216647239593947814323906257853121968982105906607635393121525191171526921436896586092302098904493834409720225721295960658706676257560005359788247795462033399882271023229870096664909931806474077957259264) (/.f64 1 2) (if (<=.f64 beta 6221222879493365/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 60000) (/.f64 1 2) (/.f64 2 2)))) |
(if (<=.f64 beta 60000) (/.f64 1 2) (/.f64 2 2)) |
(/.f64 1 2) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -4278419646001971/4503599627370496) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -4278419646001971/4503599627370496) (/.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 7656119366529843/1125899906842624) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)) |
(if (<=.f64 alpha 7656119366529843/1125899906842624) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)) |
(if (<=.f64 alpha 7656119366529843/1125899906842624) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2)) |
(if (<=.f64 alpha 7656119366529843/1125899906842624) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2)) |
(if (<=.f64 beta 5034114437028717/10273702932711667006330058365000251299903007427389011444332579888806117488861485980690754953667164943802701111047223081470741078613640241920171513223929454785068796232672743355843093277117817807170494632296448) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta 7894517309150201/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2)))) |
(if (<=.f64 beta 5034114437028717/10273702932711667006330058365000251299903007427389011444332579888806117488861485980690754953667164943802701111047223081470741078613640241920171513223929454785068796232672743355843093277117817807170494632296448) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta 7894517309150201/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) 1))) |
(if (<=.f64 beta 154105543990675/321053216647239593947814323906257853121968982105906607635393121525191171526921436896586092302098904493834409720225721295960658706676257560005359788247795462033399882271023229870096664909931806474077957259264) (/.f64 1 2) (if (<=.f64 beta 6221222879493365/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 60000) (/.f64 1 2) (/.f64 2 2)))) |
(if (<=.f64 beta 154105543990675/321053216647239593947814323906257853121968982105906607635393121525191171526921436896586092302098904493834409720225721295960658706676257560005359788247795462033399882271023229870096664909931806474077957259264) 1/2 (if (<=.f64 beta 6221222879493365/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 60000) 1/2 1))) |
(if (<=.f64 beta 60000) (/.f64 1 2) (/.f64 2 2)) |
(if (<=.f64 beta 60000) 1/2 1) |
(/.f64 1 2) |
1/2 |
Compiled 147 to 115 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 135 to 103 computations (23.7% saved)
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