Time bar (total: 14.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 56.2% | 43.8% | 0% | 0% | 0% | 0 |
| 0% | 0% | 56.2% | 43.8% | 0% | 0% | 0% | 1 |
| 0% | 0% | 56.2% | 43.8% | 0% | 0% | 0% | 2 |
| 25% | 14% | 42.1% | 43.8% | 0% | 0% | 0% | 3 |
| 37.5% | 21.1% | 35.1% | 43.8% | 0% | 0% | 0% | 4 |
| 56.3% | 31.6% | 24.6% | 43.8% | 0% | 0% | 0% | 5 |
| 65.6% | 36.9% | 19.3% | 43.8% | 0% | 0% | 0% | 6 |
| 76.6% | 43% | 13.2% | 43.8% | 0% | 0% | 0% | 7 |
| 82% | 46.1% | 10.1% | 43.8% | 0% | 0% | 0% | 8 |
| 87.9% | 49.4% | 6.8% | 43.8% | 0% | 0% | 0% | 9 |
| 90.8% | 51% | 5.2% | 43.8% | 0% | 0% | 0% | 10 |
| 93.8% | 52.7% | 3.5% | 43.8% | 0% | 0% | 0% | 11 |
| 95.4% | 53.6% | 2.6% | 43.8% | 0% | 0% | 0% | 12 |
Compiled 22 to 16 computations (27.3% saved)
| 1.1s | 6514× | body | 256 | valid |
| 291.0ms | 1058× | body | 1024 | valid |
| 167.0ms | 577× | body | 512 | valid |
| 44.0ms | 107× | body | 2048 | valid |
| 2× | egg-herbie |
| 1084× | fma-neg |
| 902× | associate-+l- |
| 768× | div-sub |
| 742× | associate--l- |
| 622× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 74 |
| 1 | 41 | 74 |
| 2 | 64 | 74 |
| 3 | 110 | 74 |
| 4 | 200 | 74 |
| 5 | 438 | 66 |
| 6 | 956 | 66 |
| 7 | 2718 | 66 |
| 8 | 5961 | 66 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) 2 4))) |
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2)))) 2) |
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2))) 2) |
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) 2 4))) |
Compiled 17 to 13 computations (23.5% saved)
| 1× | egg-herbie |
| 982× | associate-/l* |
| 722× | fma-def |
| 710× | distribute-lft-in |
| 708× | associate-+l- |
| 618× | associate--l- |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 37 |
| 1 | 25 | 37 |
| 2 | 41 | 37 |
| 3 | 69 | 37 |
| 4 | 117 | 37 |
| 5 | 255 | 33 |
| 6 | 463 | 33 |
| 7 | 845 | 33 |
| 8 | 1720 | 33 |
| 9 | 3940 | 33 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2) |
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) 2 4))) |
(-.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) -2 -4))) |
Compiled 65 to 39 computations (40% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 | 1 | 5 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 5 | 1 | 6 |
| Status | Error | Program |
|---|---|---|
| ▶ | 14.3b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
Compiled 15 to 11 computations (26.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) |
| ✓ | 1.2b | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
Compiled 50 to 23 computations (54% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
| 1.0ms | alpha | @ | inf | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
| 1.0ms | beta | @ | 0 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
| 1.0ms | beta | @ | 0 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) |
| 1.0ms | beta | @ | inf | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
| 1× | batch-egg-rewrite |
| 1652× | associate-/l* |
| 1468× | associate-/r/ |
| 762× | associate-/l/ |
| 280× | +-commutative |
| 274× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 56 |
| 1 | 259 | 56 |
| 2 | 3844 | 56 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.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)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 346 | 8 | 354 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 346 | 9 | 355 |
| Status | Error | Program |
|---|---|---|
| ▶ | 14.3b | (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) 2) |
| ▶ | 47.5b | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
| ▶ | 13.7b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| 31.0b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) | |
| ✓ | 14.3b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
| ▶ | 15.4b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| 44.9b | (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) | |
| 61.7b | (/.f64 (+.f64 -1 1) 2) | |
| ▶ | 39.8b | (/.f64 2 2) |
Compiled 215 to 175 computations (18.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| ✓ | 0.0b | (/.f64 beta (+.f64 beta (+.f64 alpha 2))) |
| ✓ | 0.0b | (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) |
| ✓ | 1.2b | (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) |
Compiled 73 to 47 computations (35.6% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| 0.0ms | beta | @ | -inf | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| 0.0ms | alpha | @ | -inf | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| 0.0ms | alpha | @ | inf | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| 0.0ms | beta | @ | 0 | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| 1× | batch-egg-rewrite |
| 1486× | associate-/r/ |
| 904× | associate-/l/ |
| 404× | +-commutative |
| 378× | associate-+l+ |
| 342× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 118 |
| 1 | 321 | 100 |
| 2 | 5017 | 100 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) |
(/.f64 alpha (+.f64 beta (+.f64 alpha 2))) |
(/.f64 beta (+.f64 beta (+.f64 alpha 2))) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| Outputs |
|---|
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2)))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2))))))) |
| 1× | egg-herbie |
| 1182× | associate-*r* |
| 1054× | *-commutative |
| 1022× | distribute-lft-in |
| 1006× | associate-*l* |
| 810× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 826 | 19495 |
| 1 | 2663 | 19401 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1) |
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1) |
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1) |
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) 1) |
-1 |
(-.f64 (/.f64 alpha beta) 1) |
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1) |
-1 |
(-.f64 (/.f64 alpha beta) 1) |
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1) |
(/.f64 alpha (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))) |
1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
(/.f64 alpha (+.f64 2 alpha)) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) |
(/.f64 alpha beta) |
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))) |
(/.f64 alpha beta) |
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))) |
(/.f64 beta (+.f64 2 alpha)) |
(+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))) |
(+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) |
(/.f64 beta (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 4)))))) |
(/.f64 beta alpha) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(/.f64 beta alpha) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) |
(*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 (*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 1/2 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))) |
(+.f64 (*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 1/2 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))) (*.f64 1/2 (*.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 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))) (+.f64 (*.f64 1/2 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))) (*.f64 1/2 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))))) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 2))) (+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 2))) (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3)))))) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta))) |
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(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 2))) (*.f64 -1/2 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta))))) |
(*.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) |
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(+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2))))) |
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(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
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(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3)))))) |
(*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) |
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(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4)))))) |
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) |
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) |
(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 1) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))) |
(*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))) |
(*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))))) |
(*.f64 (+.f64 1 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (-.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)) |
(*.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) |
(*.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)))) (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))))) |
(/.f64 1 (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))) |
(/.f64 1 (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 1) (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 3) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (+.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 3) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (+.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 1))))) |
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(pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 1) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 2) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 3) |
(pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3) 1/3) |
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(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))) |
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(exp.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))) |
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(fma.f64 alpha (/.f64 1 (+.f64 alpha (+.f64 beta 2))) -1) |
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(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
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(*.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))) |
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(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2)) 1/2) (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2)) 1/2) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3))) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (-.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2)) 1/2) (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2)) 1/2) (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2)) 1/2) (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2)) 1/2) (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2)) 1/2) (+.f64 (*.f64 (neg.f64 beta) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2)) 1/2) (+.f64 (*.f64 (neg.f64 beta) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3)) 1/2) (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2)) (*.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))))) (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3)) 1/2) (+.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) 3) (pow.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 (*.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))) (*.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))))) |
(pow.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2) 1) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2)) 3) |
(pow.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2) 3) 1/3) |
(pow.f64 (/.f64 2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) -1) |
(neg.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) -2)) |
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2) 2)) |
(log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2)))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2))) |
(exp.f64 (log.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2))) |
| Outputs |
|---|
-1 |
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1) |
(+.f64 (/.f64 alpha (+.f64 beta 2)) -1) |
(+.f64 -1 (/.f64 alpha (+.f64 beta 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) -1) |
(+.f64 -1 (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 alpha (+.f64 beta 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1) |
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) -1) |
(+.f64 -1 (+.f64 (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 alpha (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(neg.f64 (/.f64 (+.f64 beta 2) alpha)) |
(/.f64 (+.f64 -2 (neg.f64 beta)) alpha) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) |
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)))) |
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) |
(neg.f64 (/.f64 (+.f64 beta 2) alpha)) |
(/.f64 (+.f64 -2 (neg.f64 beta)) alpha) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) |
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)))) |
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) -1) |
(+.f64 -1 (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1) |
(+.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (neg.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)))) -1) |
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (*.f64 (neg.f64 alpha) beta) (pow.f64 (+.f64 alpha 2) 2)))) |
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (+.f64 (neg.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3))) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (neg.f64 alpha) beta) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 3)) alpha) 1))) |
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) 1) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (+.f64 (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 -1 (+.f64 (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))))) 1)) |
(+.f64 -1 (+.f64 (*.f64 -1 (+.f64 (*.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4)) alpha) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 3)) alpha)))) |
-1 |
(-.f64 (/.f64 alpha beta) 1) |
(+.f64 (/.f64 alpha beta) -1) |
(+.f64 -1 (/.f64 alpha beta)) |
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1) |
(+.f64 (+.f64 (/.f64 alpha beta) (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))) -1) |
(+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (+.f64 (neg.f64 alpha) -2) (/.f64 beta (/.f64 alpha beta))) -1)) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1) |
(+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) (+.f64 (+.f64 (/.f64 alpha beta) (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))) -1)) |
(+.f64 (+.f64 (/.f64 alpha beta) (/.f64 (+.f64 (neg.f64 alpha) -2) (/.f64 beta (/.f64 alpha beta)))) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) -1)) |
-1 |
(-.f64 (/.f64 alpha beta) 1) |
(+.f64 (/.f64 alpha beta) -1) |
(+.f64 -1 (/.f64 alpha beta)) |
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1) |
(+.f64 (+.f64 (/.f64 alpha beta) (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))) -1) |
(+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (+.f64 (neg.f64 alpha) -2) (/.f64 beta (/.f64 alpha beta))) -1)) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1) |
(+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) (+.f64 (+.f64 (/.f64 alpha beta) (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))) -1)) |
(+.f64 (+.f64 (/.f64 alpha beta) (/.f64 (+.f64 (neg.f64 alpha) -2) (/.f64 beta (/.f64 alpha beta)))) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) -1)) |
(/.f64 alpha (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) |
(fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) |
(fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 alpha (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) |
(+.f64 (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 alpha (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (fma.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) |
(+.f64 (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 alpha (+.f64 beta 2))) (fma.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) |
1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1) |
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) |
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1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1) |
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) |
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(/.f64 alpha (+.f64 2 alpha)) |
(/.f64 alpha (+.f64 alpha 2)) |
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(/.f64 alpha beta) |
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(/.f64 alpha beta) |
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(/.f64 beta (+.f64 2 alpha)) |
(/.f64 beta (+.f64 alpha 2)) |
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1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 1 (neg.f64 (/.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (+.f64 (neg.f64 alpha) -2) beta)) |
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1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) |
(+.f64 1 (neg.f64 (/.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (/.f64 (+.f64 (neg.f64 alpha) -2) beta)) |
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(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
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(/.f64 beta (+.f64 beta 2)) |
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(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (+.f64 beta 2))) |
(fma.f64 -1 (*.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) alpha) (/.f64 beta (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (+.f64 beta 2)))) |
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (+.f64 (/.f64 beta (+.f64 beta 2)) (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 alpha alpha))))) |
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(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 4)))))) |
(fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (+.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 alpha alpha))) (+.f64 (/.f64 beta (+.f64 beta 2)) (neg.f64 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 4)))))) |
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(/.f64 beta alpha) |
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(fma.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 alpha alpha)) (/.f64 beta alpha)) |
(fma.f64 -1 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 2)) (/.f64 beta alpha)) |
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(fma.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta alpha) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))))) |
(fma.f64 -1 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 2)) (fma.f64 -1 (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta alpha) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))))) |
(/.f64 beta alpha) |
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(fma.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 alpha alpha)) (/.f64 beta alpha)) |
(fma.f64 -1 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 2)) (/.f64 beta alpha)) |
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(fma.f64 -1 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 beta 2)) (fma.f64 -1 (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta alpha) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))))) |
(*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) |
(*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
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(*.f64 1/2 (+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))))) |
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(fma.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (fma.f64 1/2 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))) (*.f64 1/2 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (*.f64 beta (*.f64 beta (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))))))) |
1 |
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))) |
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) |
(+.f64 1 (/.f64 -1/2 (/.f64 beta (+.f64 2 (*.f64 alpha 2))))) |
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(fma.f64 1/2 (/.f64 (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta beta)) (+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))) |
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1 |
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(*.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) |
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(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha)) |
(/.f64 (+.f64 1 (*.f64 1/2 (*.f64 beta 2))) alpha) |
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(fma.f64 1/2 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 4)) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4)) (fma.f64 1/2 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) (*.f64 1/2 (+.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha)) (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 beta (neg.f64 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3)))))) |
(*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(*.f64 -1/2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)) |
(/.f64 (*.f64 -1/2 (-.f64 (neg.f64 beta) (+.f64 beta 2))) alpha) |
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(fma.f64 1/2 (/.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3)) (*.f64 -1/2 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha))))) |
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(fma.f64 1/2 (/.f64 (fma.f64 beta (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3)) (fma.f64 -1/2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (*.f64 -1/2 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha)) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4)))))) |
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) |
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) |
(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) |
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(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 1) |
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(*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))) |
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(*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 2)) |
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))) |
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(*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) |
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(*.f64 (+.f64 1 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (-.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)) |
(*.f64 (+.f64 1 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (+.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1)) |
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(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3)) 1/2) (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2)) (*.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))))) (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3)) (/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 4) (*.f64 (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))) 1/2)) (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))) |
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3)) (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 4) (*.f64 (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (*.f64 (+.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (+.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))))) 1/2) (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3)) 1/2) (+.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) 3) (pow.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 (*.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))) (*.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3)) (/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) 3) (pow.f64 (*.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) 3)) 1/2)) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 4) (*.f64 (*.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) (-.f64 (*.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2))))) |
(*.f64 (/.f64 1/2 (/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) 3) (pow.f64 (*.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) 3)) (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3)))) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 4) (*.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (*.f64 (+.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (-.f64 (*.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2)))))) |
(pow.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2) 1) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2)) 2) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2)) 3) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(pow.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2) 3) 1/3) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(pow.f64 (/.f64 2 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) -1) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(neg.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) -2)) |
(/.f64 (neg.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) -2) |
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2) 2)) |
(sqrt.f64 (pow.f64 (+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)) |
(log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2)))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2) 3)) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(exp.f64 (log.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2)) 1)) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1/2))) |
(+.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
Compiled 6 to 6 computations (0% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 beta (+.f64 beta 2)) 1) |
| ✓ | 0.0b | (/.f64 beta (+.f64 beta 2)) |
Compiled 29 to 21 computations (27.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | beta | @ | 0 | (/.f64 beta (+.f64 beta 2)) |
| 0.0ms | beta | @ | inf | (/.f64 beta (+.f64 beta 2)) |
| 0.0ms | beta | @ | -inf | (/.f64 beta (+.f64 beta 2)) |
| 0.0ms | beta | @ | 0 | (+.f64 (/.f64 beta (+.f64 beta 2)) 1) |
| 0.0ms | beta | @ | -inf | (+.f64 (/.f64 beta (+.f64 beta 2)) 1) |
| 1× | batch-egg-rewrite |
| 1986× | add-sqr-sqrt |
| 1962× | *-un-lft-identity |
| 1846× | add-cube-cbrt |
| 1832× | add-cbrt-cube |
| 178× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 1 | 180 | 32 |
| 2 | 2431 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 beta (+.f64 beta 2)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (*.f64 (/.f64 1 (+.f64 beta 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 2)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta 2) beta) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1))))) |
| 1× | egg-herbie |
| 992× | fma-def |
| 832× | times-frac |
| 784× | associate-/l* |
| 770× | unswap-sqr |
| 644× | associate-*r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 197 | 2706 |
| 1 | 481 | 2460 |
| 2 | 1722 | 2280 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 beta) |
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2))) |
(+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))) |
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
1 |
(+.f64 1 (*.f64 1/2 beta)) |
(+.f64 1 (+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(*.f64 beta (/.f64 1 (+.f64 beta 2))) |
(*.f64 beta (*.f64 (/.f64 1 (+.f64 beta 2)) 1)) |
(*.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(*.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2)))) |
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (+.f64 beta 2)) beta) |
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2)) |
(*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))) |
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2))) |
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2) |
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3) |
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1) |
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3) |
(neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2))) |
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) |
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta 2))))) |
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) |
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2)))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) 1) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(*.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(*.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2))))) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 3) |
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1) |
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1) |
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1) |
| Outputs |
|---|
(*.f64 1/2 beta) |
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2))) |
(fma.f64 1/2 beta (*.f64 -1/4 (*.f64 beta beta))) |
(fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/2 beta)) |
(*.f64 beta (+.f64 1/2 (*.f64 beta -1/4))) |
(+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))) |
(fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3)))) |
(fma.f64 1/2 beta (*.f64 (*.f64 beta beta) (+.f64 -1/4 (*.f64 beta 1/8)))) |
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))) |
(fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3))))) |
(fma.f64 1/2 beta (fma.f64 -1/16 (pow.f64 beta 4) (*.f64 (*.f64 beta beta) (+.f64 -1/4 (*.f64 beta 1/8))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 beta))) |
(-.f64 1 (/.f64 2 beta)) |
(+.f64 1 (/.f64 -2 beta)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))) |
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 -2 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))) |
(-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta))) (/.f64 8 (pow.f64 beta 3))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 4 beta) beta) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 beta))) |
(-.f64 1 (/.f64 2 beta)) |
(+.f64 1 (/.f64 -2 beta)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))) |
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 -2 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))) |
(-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta))) (/.f64 8 (pow.f64 beta 3))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 4 beta) beta) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3))))) |
1 |
(+.f64 1 (*.f64 1/2 beta)) |
(+.f64 (*.f64 1/2 beta) 1) |
(fma.f64 1/2 beta 1) |
(+.f64 1 (+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2)))) |
(+.f64 (fma.f64 1/2 beta (*.f64 -1/4 (*.f64 beta beta))) 1) |
(+.f64 (*.f64 beta (*.f64 beta -1/4)) (fma.f64 1/2 beta 1)) |
(fma.f64 1/2 beta (fma.f64 beta (*.f64 beta -1/4) 1)) |
(+.f64 1 (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))) |
(+.f64 (fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3)))) 1) |
(+.f64 (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3))) (fma.f64 1/2 beta 1)) |
(+.f64 (*.f64 beta (+.f64 1/2 (*.f64 beta -1/4))) (fma.f64 1/8 (pow.f64 beta 3) 1)) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 2 (/.f64 -2 beta)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))) |
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 2 (/.f64 -2 beta))) |
(+.f64 2 (+.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 -2 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 2 (-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 (+.f64 2 (/.f64 (/.f64 4 beta) beta)) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3)))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 2 (/.f64 -2 beta)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))) |
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 2 (/.f64 -2 beta))) |
(+.f64 2 (+.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 -2 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 2 (-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 (+.f64 2 (/.f64 (/.f64 4 beta) beta)) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3)))) |
(-.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 beta (/.f64 1 (+.f64 beta 2))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 beta (*.f64 (/.f64 1 (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (/.f64 1 (+.f64 beta 2)) beta) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2))) |
(/.f64 (neg.f64 beta) (-.f64 -2 beta)) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2)))) |
(/.f64 (/.f64 beta (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2))) |
(/.f64 beta (*.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2)))) |
(/.f64 (/.f64 beta (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) |
(/.f64 beta (*.f64 (cbrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))) |
(*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2)) |
(*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))) |
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))) |
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta beta (+.f64 4 (*.f64 beta -2)))) |
(/.f64 beta (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (fma.f64 beta -2 4)))) |
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2)))) |
(/.f64 (/.f64 beta (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) |
(/.f64 beta (*.f64 (cbrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2)))) |
(/.f64 (/.f64 beta (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2))) |
(/.f64 beta (*.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))) |
(/.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 beta) 2))) |
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2))) |
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2))) |
(/.f64 (neg.f64 beta) (-.f64 -2 beta)) |
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta 2))))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) 1) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(*.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2))))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (*.f64 (/.f64 beta (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) 1)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1)) |
(/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (*.f64 (/.f64 beta (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) 1)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1)) |
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (*.f64 (/.f64 beta (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) 1)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1)) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2))))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (*.f64 (/.f64 beta (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) 1)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1)) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (*.f64 (/.f64 beta (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) 1)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1)) |
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) 2) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 3) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3) 1/3) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
Compiled 29 to 21 computations (27.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | beta | @ | inf | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 0.0ms | alpha | @ | 0 | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 0.0ms | beta | @ | 0 | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 0.0ms | alpha | @ | -inf | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 0.0ms | alpha | @ | inf | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 1× | batch-egg-rewrite |
| 1958× | add-sqr-sqrt |
| 1936× | *-un-lft-identity |
| 1814× | add-cube-cbrt |
| 1796× | add-cbrt-cube |
| 178× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 176 | 15 |
| 2 | 2351 | 15 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 beta 2) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 2 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (fma.f64 2 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))))))) |
| 1× | egg-herbie |
| 1000× | associate-+r+ |
| 782× | associate-+l+ |
| 750× | *-commutative |
| 578× | associate-*r/ |
| 400× | associate-*l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 972 |
| 1 | 214 | 960 |
| 2 | 838 | 732 |
| 3 | 3745 | 732 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 2 (/.f64 beta alpha)) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(*.f64 2 (/.f64 beta alpha)) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) 1) |
(*.f64 (fma.f64 2 beta 2) (/.f64 1 alpha)) |
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1) |
(*.f64 1 (/.f64 (fma.f64 2 beta 2) alpha)) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))) |
(*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) |
(*.f64 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 (neg.f64 alpha))) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha)) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3) |
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1) |
(neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha))) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2)) |
(log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha)))) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
| Outputs |
|---|
(/.f64 2 alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(*.f64 (/.f64 2 alpha) beta) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(*.f64 (/.f64 2 alpha) beta) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) 1) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (fma.f64 2 beta 2) (/.f64 1 alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 1 (/.f64 (fma.f64 2 beta 2) alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 (neg.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha))) |
(/.f64 (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (fma.f64 2 beta 2) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha))) |
(/.f64 (fma.f64 2 beta 2) (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha))) |
(/.f64 (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 (fma.f64 2 beta 2) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha))) |
(/.f64 (fma.f64 2 beta 2) (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 (cbrt.f64 alpha) 2)) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha)))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 1)) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) |
| ✓ | 0.1b | (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) |
| ✓ | 0.1b | (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) |
| ✓ | 1.2b | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
Compiled 84 to 52 computations (38.1% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | alpha | @ | inf | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
| 7.0ms | alpha | @ | 0 | (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) |
| 6.0ms | alpha | @ | inf | (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) |
| 4.0ms | alpha | @ | -inf | (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) |
| 4.0ms | beta | @ | 0 | (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) |
| 1× | batch-egg-rewrite |
| 1866× | associate-/r* |
| 1528× | associate-/l* |
| 342× | add-sqr-sqrt |
| 324× | add-cbrt-cube |
| 324× | add-cube-cbrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 124 |
| 1 | 361 | 124 |
| 2 | 4708 | 124 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) |
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) |
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2) 1/3) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 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| 1× | egg-herbie |
| 1662× | associate-*r* |
| 1452× | +-commutative |
| 1362× | associate-+r+ |
| 1028× | associate-+l+ |
| 608× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1097 | 43621 |
| 1 | 3730 | 43549 |
| 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))))) |
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(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
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2 |
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2 |
(+.f64 2 (*.f64 -1/3 (/.f64 (+.f64 (*.f64 -8 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -4 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 beta (cbrt.f64 4))))) |
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(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
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alpha))))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
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(+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (*.f64 2 (*.f64 (+.f64 2 (*.f64 2 beta)) (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (+.f64 2 (*.f64 2 beta))) (+.f64 (pow.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))))))) (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 (*.f64 2 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))))) (*.f64 2 (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 beta (pow.f64 (+.f64 beta 2) 3)))))))))) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 beta)) 5)) 1/3) (*.f64 (-.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) 2))) (+.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2)) (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 (pow.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) 2) (+.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (+.f64 2 (*.f64 2 beta))) (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))))))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 2 (*.f64 2 beta))) 1/3) (pow.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (*.f64 2 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))))) 2)))) (+.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (*.f64 2 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))))))))) (*.f64 1/27 (/.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (*.f64 2 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))))) 3) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2))))) (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (pow.f64 alpha 4)))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) 2))) (+.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (+.f64 2 (*.f64 2 beta))) (+.f64 (pow.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))))))) (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 2 (*.f64 2 beta))) 1/3) (pow.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (*.f64 2 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))))) 2)))) (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (pow.f64 alpha 3)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2)) 1/3) (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (*.f64 2 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))))) (pow.f64 alpha 2)))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
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(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 3) |
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8 |
(+.f64 8 (+.f64 (*.f64 -4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (*.f64 -8 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))) |
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8 |
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(pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) |
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(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) alpha) (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) (pow.f64 alpha 2)) (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))))) (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 -2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (*.f64 -2 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))))) (pow.f64 alpha 3))))) |
(/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 3) (pow.f64 alpha 3)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 3) (pow.f64 alpha 3)) (/.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 4)))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) 2)) (pow.f64 alpha 5))) (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 2 (*.f64 2 beta)) 2)) (pow.f64 alpha 5)) (+.f64 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 4)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 (pow.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) 2) (+.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (+.f64 2 (*.f64 2 beta))) (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))))))) (pow.f64 alpha 5))))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 6)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 (*.f64 2 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))))) (*.f64 2 (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))))))) (pow.f64 alpha 6)) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))))) (pow.f64 alpha 6))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 5)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (+.f64 (pow.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) 2) (+.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (+.f64 2 (*.f64 2 beta))) (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))))))) (pow.f64 alpha 6)) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) 2)) (pow.f64 alpha 5))) (+.f64 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 (pow.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) 2) (+.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (+.f64 2 (*.f64 2 beta))) (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))))))) (pow.f64 alpha 5)) (/.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 4))))))))))) |
(*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 3) (pow.f64 alpha 3))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 3) (pow.f64 alpha 3))) (*.f64 -2 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 4))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))))) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 3) (pow.f64 alpha 3))) (*.f64 -2 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 4)))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))))) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))))))) (pow.f64 alpha 6))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 4))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (*.f64 2 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)))))) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 6)) (*.f64 2 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 6)))))))))) |
(*.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) |
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(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 6)) |
(log.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 3))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 3)))) |
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 3) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 3))) |
(exp.f64 (*.f64 3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 3))) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 0) |
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)) |
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) |
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1) |
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) |
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) 1)) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 2) |
(-.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)) (+.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)) 1)) |
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) |
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 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)))) 1)) |
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(*.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)))) 1)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) |
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 -1 (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) |
(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)) |
(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 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))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (-.f64 (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))))) (/.f64 alpha (+.f64 alpha 2)))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta beta))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (/.f64 (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) alpha) (pow.f64 beta 3)))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (-.f64 (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.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 (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 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (/.f64 beta (+.f64 2 beta))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta)))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))) |
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) |
(-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) |
(-.f64 (+.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 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 (*.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))) |
(+.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 (*.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 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 (/.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 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 (*.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (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 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (+.f64 (/.f64 (*.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)) (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3))))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) 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 -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)))) |
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2 |
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(+.f64 2 (*.f64 1/3 (/.f64 (*.f64 (+.f64 2 (*.f64 alpha 2)) -12) (*.f64 beta (cbrt.f64 4))))) |
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2 |
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(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (/.f64 beta (+.f64 2 beta))) |
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
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(fma.f64 1/3 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2))) (*.f64 3 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (*.f64 beta (+.f64 2 beta)))))) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))) |
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) alpha)) |
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(+.f64 (*.f64 1/3 (*.f64 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))) (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)))) (pow.f64 alpha 2)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) 1/3))) (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) 1/3) (pow.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))) (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)))) 2)))) (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 3)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)))) |
(fma.f64 1/3 (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2)) -3) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2)))) (*.f64 alpha alpha)) (fma.f64 -1/3 (/.f64 (+.f64 (fma.f64 -1 (*.f64 (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 2 (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (pow.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) 2)) (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (fma.f64 -1 (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))) (+.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) 2) (neg.f64 (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))))))))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 (-.f64 (neg.f64 beta) beta) 2))) (pow.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2)) -3) 2)))) (*.f64 (pow.f64 alpha 3) (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2))) (neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) alpha)))) |
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(fma.f64 1/3 (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2)) -3) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2)))) (*.f64 alpha alpha)) (fma.f64 -1/3 (/.f64 (+.f64 (fma.f64 -1 (*.f64 (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 2 (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (pow.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) 2)) (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (fma.f64 -1 (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))) (+.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) 2) (neg.f64 (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))))))))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 (-.f64 (neg.f64 beta) beta) 2))) (pow.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2)) -3) 2)))) (*.f64 (pow.f64 alpha 3) (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2))) (fma.f64 -1 (/.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) alpha) (*.f64 1/3 (/.f64 (-.f64 (fma.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (fma.f64 -1 (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))) (+.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) 2) (neg.f64 (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))))))) (fma.f64 2 (*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (-.f64 (-.f64 (neg.f64 beta) beta) 2)) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (fma.f64 -1 (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (+.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (fma.f64 -1 (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (+.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (*.f64 2 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3)))))) (neg.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2)))))) (fma.f64 1/27 (/.f64 (pow.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2)) -3) 3) (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2)) (*.f64 2/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 5))) (*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2)) -3)) (+.f64 (fma.f64 -1 (*.f64 (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 2 (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (pow.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) 2)) (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (fma.f64 -1 (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))) (+.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) 2) (neg.f64 (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))))))))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 (-.f64 (neg.f64 beta) beta) 2))) (pow.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2)) -3) 2)))))))) (*.f64 (pow.f64 alpha 4) (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2))))))) |
(fma.f64 1/3 (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2)) -3) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2)))) (*.f64 alpha alpha)) (fma.f64 -1/3 (/.f64 (+.f64 (fma.f64 -1 (*.f64 (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 2 (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (pow.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) 2)) (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (fma.f64 -1 (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))) (+.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) 2) (neg.f64 (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))))))))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 (-.f64 (neg.f64 beta) beta) 2))) (pow.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2)) -3) 2)))) (*.f64 (pow.f64 alpha 3) (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2))) (fma.f64 -1 (/.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) alpha) (*.f64 1/3 (/.f64 (-.f64 (fma.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (fma.f64 -1 (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))) (+.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) 2) (neg.f64 (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))))))) (fma.f64 2 (*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))) (-.f64 (-.f64 (neg.f64 beta) beta) 2)) (fma.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (fma.f64 -1 (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (+.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (fma.f64 -1 (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (+.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (*.f64 2 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3)))))) (neg.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2)))))) (fma.f64 1/27 (/.f64 (pow.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2)) -3) 3) (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2)) (*.f64 (*.f64 2/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 5))) (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2))) -3)) (+.f64 (fma.f64 -1 (*.f64 (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 2 (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (pow.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) 2)) (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (fma.f64 -1 (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))) (+.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) 2) (neg.f64 (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))))))))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 (-.f64 (neg.f64 beta) beta) 2))) (pow.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2)) -3) 2))))))) (*.f64 (pow.f64 alpha 4) (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2))))))) |
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 3) |
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) |
(+.f64 (*.f64 beta (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 3)) |
(fma.f64 beta (*.f64 3 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)) |
(+.f64 (*.f64 beta (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))) (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 3) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2)))))))) |
(+.f64 (fma.f64 beta (*.f64 3 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)) (*.f64 (*.f64 beta beta) (fma.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2) (*.f64 (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2))))))) |
(+.f64 (*.f64 beta (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))) (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 3) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2)))))) (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))) (+.f64 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))) (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))))))))) |
(+.f64 (fma.f64 beta (*.f64 3 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)) (fma.f64 (*.f64 beta beta) (fma.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2) (*.f64 (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2))))) (*.f64 (pow.f64 beta 3) (fma.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (fma.f64 2 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (fma.f64 (+.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2) (*.f64 (*.f64 2 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (fma.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))))))) |
8 |
(+.f64 8 (+.f64 (*.f64 -4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (*.f64 -8 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))) |
(+.f64 8 (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) -12)) |
(+.f64 8 (+.f64 (*.f64 -4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 -8 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 2))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (pow.f64 beta 2))) (*.f64 2 (/.f64 (+.f64 (*.f64 4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (pow.f64 beta 2)))))))) |
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(+.f64 8 (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 (*.f64 2 alpha)))) (*.f64 4 (-.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (pow.f64 (+.f64 2 alpha) 3)))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 alpha)) (+.f64 (*.f64 4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2))) (pow.f64 beta 3))) (+.f64 (*.f64 -4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 (*.f64 2 alpha))) (pow.f64 beta 3))) (+.f64 (*.f64 -8 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 2))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2) (pow.f64 beta 2))) (*.f64 2 (/.f64 (+.f64 (*.f64 4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (pow.f64 beta 2)))))))))))) |
(+.f64 8 (fma.f64 2 (/.f64 (fma.f64 -2 (*.f64 (+.f64 2 (*.f64 alpha 2)) (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 4 (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) alpha) (pow.f64 (+.f64 alpha 2) 3)))) (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) (/.f64 (pow.f64 beta 3) (fma.f64 4 (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2)))) (fma.f64 -4 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) (fma.f64 4 (/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) alpha) (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 beta 3)) (fma.f64 -4 (/.f64 (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 beta 3) (+.f64 2 (*.f64 alpha 2)))) (fma.f64 -8 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) (fma.f64 4 (/.f64 (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta beta)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 beta beta)) (*.f64 2 (/.f64 (fma.f64 4 (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2)) (*.f64 beta beta)))))))))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) (/.f64 (pow.f64 beta 3) (fma.f64 4 (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2)))) (+.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 beta 3))) (/.f64 (*.f64 (+.f64 -8 (*.f64 -8 alpha)) (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 beta 3))) (+.f64 (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) -12) (fma.f64 4 (/.f64 (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta beta)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 beta beta)) (*.f64 2 (/.f64 (fma.f64 4 (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2)) (*.f64 beta beta)))))))) (+.f64 8 (/.f64 (+.f64 (*.f64 (+.f64 -8 (*.f64 -8 alpha)) (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 8 (-.f64 (*.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 (+.f64 alpha 2) 3)))) (pow.f64 beta 3)))) |
8 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -4 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta)) 8) |
(fma.f64 -1 (/.f64 (*.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) -12) beta) 8) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -4 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta)) (+.f64 8 (+.f64 (*.f64 4 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 2))) (*.f64 -4 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))))))) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) -12) beta) 8) (fma.f64 4 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta)) (fma.f64 2 (/.f64 (fma.f64 -4 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 beta beta)) (*.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) -4)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -4 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta)) (+.f64 8 (+.f64 (*.f64 4 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (+.f64 (*.f64 2 (+.f64 (*.f64 2 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 -4 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 -4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 3))) (*.f64 -4 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2)))))))) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) -12) beta) 8) (fma.f64 4 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta)) (fma.f64 2 (/.f64 (fma.f64 -4 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 beta beta)) (fma.f64 -1 (/.f64 (fma.f64 4 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (fma.f64 2 (fma.f64 2 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 (*.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) -4) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 -1 (*.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (fma.f64 -4 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2))) (*.f64 (*.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) -4) (pow.f64 (+.f64 alpha 2) 2))))) (pow.f64 beta 3)) (*.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) -4))))) |
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) |
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3) |
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3)) |
(fma.f64 (fma.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 -1 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (neg.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))) alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3)) |
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) alpha) (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) (pow.f64 alpha 2)))) |
(+.f64 (fma.f64 (fma.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 -1 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (neg.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))) alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3)) (*.f64 (*.f64 alpha alpha) (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (fma.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))) (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))))) |
(+.f64 (fma.f64 (fma.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 -1 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (neg.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))) alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3)) (*.f64 (*.f64 alpha alpha) (+.f64 (*.f64 (*.f64 1 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))) (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))))) |
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) alpha) (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) (pow.f64 alpha 2)) (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))))) (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 -2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (*.f64 -2 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))))) (pow.f64 alpha 3))))) |
(+.f64 (fma.f64 (fma.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 -1 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (neg.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))) alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3)) (fma.f64 (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (fma.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))) (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))) (*.f64 alpha alpha) (*.f64 (pow.f64 alpha 3) (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))) (+.f64 1 (/.f64 beta (+.f64 2 beta)))))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 -1 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (fma.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 -2 (+.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))))) (neg.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))))))))) |
(+.f64 (fma.f64 (fma.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 -1 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (neg.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))) alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3)) (fma.f64 (+.f64 (*.f64 (*.f64 1 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))) (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))) (*.f64 alpha alpha) (*.f64 (pow.f64 alpha 3) (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 (*.f64 2 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))) (+.f64 1 (/.f64 beta (+.f64 2 beta)))))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 -1 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (fma.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 -2 (+.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))))) (neg.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))))))))) |
(/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 3) (pow.f64 alpha 3)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 3) (pow.f64 alpha 3)) (/.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 4)))) |
(fma.f64 2 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (/.f64 (pow.f64 alpha 4) (-.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (*.f64 beta (+.f64 2 beta))))) (+.f64 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 3) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (/.f64 (pow.f64 alpha 4) (-.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (*.f64 beta (+.f64 2 beta))))))) |
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(*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) |
(/.f64 (neg.f64 alpha) (+.f64 alpha 2)) |
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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))) |
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(-.f64 (+.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 (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 |
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(-.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
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(/.f64 beta (+.f64 beta 2)) |
(/.f64 beta (+.f64 2 beta)) |
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(fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))) |
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(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)))))) |
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-1 |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1)) |
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(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) |
(/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) (*.f64 (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))) |
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) |
(/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))))) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 6)) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 6)) |
(log.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 3))) |
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 3)))) |
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3) |
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 3) 3)) |
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3) |
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 3))) |
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3) |
(exp.f64 (*.f64 3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(pow.f64 (exp.f64 3) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1)) |
(pow.f64 (exp.f64 3) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 3))) |
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 0) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) 1)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 2) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(-.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)) (+.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)) 1)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (/.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))) |
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (*.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(*.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)))) 1)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (cbrt.f64 (-.f64 beta alpha)))) |
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 -1 (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 -1 (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) -1) |
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 2 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 alpha (+.f64 2 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 alpha (+.f64 2 beta))) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
Compiled 57367 to 42335 computations (26.2% saved)
16 alts after pruning (11 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1116 | 10 | 1126 |
| Fresh | 2 | 1 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 5 | 5 |
| Total | 1119 | 16 | 1135 |
| Status | Error | Program |
|---|---|---|
| 31.0b | (/.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3) 2) | |
| ✓ | 47.5b | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
| ▶ | 50.7b | (/.f64 (/.f64 2 alpha) 2) |
| 13.7b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) 2) | |
| ▶ | 13.7b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2) |
| 47.5b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) 2) | |
| ✓ | 13.7b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| ▶ | 44.6b | (/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
| 31.0b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) | |
| ✓ | 14.3b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
| ✓ | 15.4b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| 33.0b | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) | |
| ▶ | 58.4b | (/.f64 (*.f64 (/.f64 2 alpha) beta) 2) |
| 58.4b | (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) | |
| ✓ | 39.8b | (/.f64 2 2) |
| ▶ | 44.9b | (+.f64 1 (/.f64 -1/2 (/.f64 beta (+.f64 2 (*.f64 alpha 2))))) |
Compiled 479 to 369 computations (23% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 beta (+.f64 beta (+.f64 alpha 2))) | |
| ✓ | 0.0b | (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
| ✓ | 0.1b | (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) |
| ✓ | 1.2b | (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) |
Compiled 214 to 146 computations (31.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 49.0ms | beta | @ | 0 | (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) |
| 3.0ms | alpha | @ | inf | (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) |
| 1.0ms | beta | @ | 0 | (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) |
| 1.0ms | alpha | @ | -inf | (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) |
| 1.0ms | beta | @ | inf | (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) |
| 1× | batch-egg-rewrite |
| 1250× | associate-/r* |
| 1248× | distribute-lft-in |
| 804× | associate-/l* |
| 618× | associate-/r/ |
| 286× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 75 |
| 1 | 285 | 75 |
| 2 | 3856 | 75 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) |
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
| Outputs |
|---|
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(+.f64 alpha (+.f64 beta 2)) alpha) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))))) |
| 1× | egg-herbie |
| 1368× | associate-*r* |
| 1162× | *-commutative |
| 1152× | associate-/r* |
| 1048× | associate-*l* |
| 914× | associate-+r+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1044 | 24810 |
| 1 | 3345 | 24470 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) 1) |
(-.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) 1) |
(-.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 6 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1) |
(/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) alpha) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))))))) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4)))))))))))) |
(*.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha)) |
(+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (+.f64 (*.f64 4 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 3))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (+.f64 (*.f64 4 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4)) (+.f64 (*.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (*.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha))))))))) |
(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)) 1) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))) 1) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))) alpha) (+.f64 2 alpha)) (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 5)) (*.f64 2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 5)))))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)))) 1) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))) alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 6))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 6))) (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 6))))))) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))) alpha) (+.f64 2 alpha)) (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 5)) (*.f64 2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 5)))))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))))) 1) |
-1 |
(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3)) (pow.f64 beta 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) alpha) (pow.f64 beta 5)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3)) (pow.f64 beta 5))))))) 1) |
-1 |
(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) alpha)))) (pow.f64 beta 5)))))) 1) |
(/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) |
(+.f64 (*.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) |
(+.f64 (*.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 6 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) |
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1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))) |
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1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha))) |
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(+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (+.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (+.f64 (*.f64 4 (pow.f64 (+.f64 beta 2) 3)) (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha)))))) |
(/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)) |
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(/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) |
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(+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3)) (pow.f64 beta 5))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) alpha) (pow.f64 beta 5)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3)) (pow.f64 beta 5))))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3)) (pow.f64 beta 5)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 3)) (pow.f64 beta 6))) (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 3)) (pow.f64 beta 6))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3)) (pow.f64 beta 5))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) alpha) (pow.f64 beta 5)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 3)) (pow.f64 beta 6))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (+.f64 2 alpha) alpha)) (pow.f64 beta 6)))))))))))) |
(/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) |
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(+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) alpha)))) (pow.f64 beta 5)))))) |
(+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 3)) (pow.f64 beta 6))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 3)) (pow.f64 beta 6))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 3)) (pow.f64 beta 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) alpha)))) (pow.f64 beta 5))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (+.f64 2 alpha) alpha)) (pow.f64 beta 6)))))))))) |
(/.f64 alpha (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))) |
1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
(/.f64 alpha (+.f64 2 alpha)) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) |
(/.f64 alpha beta) |
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))) |
(/.f64 alpha beta) |
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))) |
(-.f64 (exp.f64 (log.f64 (+.f64 0 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) 1) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) 2) |
(-.f64 (/.f64 1 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(-.f64 (+.f64 -1 (exp.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) 1) |
(*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 1) |
(*.f64 1 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) |
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (/.f64 1 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3/2)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3/2) 1)) |
(*.f64 (/.f64 1 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) |
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) |
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(*.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)) (+.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))) |
(/.f64 1 (/.f64 1 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
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(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 alpha (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (neg.f64 (+.f64 beta 2)) 1 (+.f64 beta 2)))) |
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 alpha (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))) |
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 alpha (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)))) |
(+.f64 (*.f64 (/.f64 alpha (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) alpha) (*.f64 (/.f64 alpha (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (+.f64 beta 2)))) |
(+.f64 (*.f64 (/.f64 alpha (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) alpha) (*.f64 (/.f64 alpha (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 -2 (*.f64 -1 beta)))) |
(+.f64 (*.f64 (/.f64 alpha (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) alpha) (*.f64 (/.f64 alpha (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2))))) |
(+.f64 (*.f64 (/.f64 alpha (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) alpha) (*.f64 (/.f64 alpha (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (+.f64 beta 2))))) |
(+.f64 (*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 alpha alpha)) (*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))) |
(+.f64 (*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 alpha alpha))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 1) |
(*.f64 alpha (/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))) |
(*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) |
(*.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))))) |
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))))) |
(*.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) alpha) |
(*.f64 (neg.f64 alpha) (/.f64 -1 (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 alpha 1) (/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 alpha (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2))) |
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 alpha (-.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 alpha (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))) |
(*.f64 (/.f64 -1 (+.f64 alpha (+.f64 beta 2))) (neg.f64 alpha)) |
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 (sqrt.f64 alpha) (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 alpha)) |
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 (/.f64 alpha 1) 1) (/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 alpha)) |
(*.f64 (/.f64 alpha (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (neg.f64 (-.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 alpha (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))) |
(*.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 beta (-.f64 2 alpha))) |
(*.f64 (/.f64 alpha (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 4)) (+.f64 alpha (+.f64 beta -2))) |
(*.f64 (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 4 (*.f64 (+.f64 alpha beta) 2)))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 2)) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha)) |
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (-.f64 alpha (+.f64 beta 2))) |
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))) |
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (neg.f64 (-.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))) |
(*.f64 (/.f64 (/.f64 alpha 1) (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 beta (-.f64 2 alpha))) |
(*.f64 (/.f64 (/.f64 alpha 1) (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 4)) (+.f64 alpha (+.f64 beta -2))) |
(*.f64 (/.f64 (/.f64 alpha 1) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 4 (*.f64 (+.f64 alpha beta) 2)))) |
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (sqrt.f64 (-.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))) |
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (cbrt.f64 (-.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))) |
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) |
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 1/3) |
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3) |
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -1) |
(neg.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))) |
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) |
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) |
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
| Outputs |
|---|
-1 |
(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) 1) |
(+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) -1) |
(+.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) |
(-.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) 1) |
(+.f64 (fma.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) -1) |
(+.f64 -1 (fma.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) |
(-.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 6 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1) |
(+.f64 (fma.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 6 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) -1) |
(+.f64 -1 (fma.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 6 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))) |
(/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) alpha) |
(/.f64 (*.f64 (+.f64 beta 2) -3) alpha) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) |
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (*.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) 6))) |
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) 6) (*.f64 alpha alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))))))) |
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) 6) (fma.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (*.f64 -1 (+.f64 (/.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))))) |
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (fma.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) 6) (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3))) (*.f64 -3 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4)))))))))))) |
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (fma.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (fma.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) -3) (/.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 2)))))))))))) |
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3)) (fma.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (+.f64 (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (fma.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (*.f64 -3 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) (/.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 4)) (pow.f64 alpha 4))))))))) |
(*.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha)) |
(neg.f64 (/.f64 (+.f64 beta (+.f64 6 (*.f64 beta 2))) alpha)) |
(neg.f64 (/.f64 (+.f64 (*.f64 beta 2) (+.f64 beta 6)) alpha)) |
(+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha)))) |
(+.f64 (/.f64 (+.f64 4 (*.f64 beta 2)) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (neg.f64 (/.f64 (+.f64 beta (+.f64 6 (*.f64 beta 2))) alpha)))) |
(+.f64 (/.f64 (+.f64 4 (*.f64 beta 2)) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (neg.f64 (/.f64 (+.f64 (*.f64 beta 2) (+.f64 beta 6)) alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (+.f64 (*.f64 4 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 3))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha))))) |
(fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (fma.f64 4 (pow.f64 (+.f64 beta 2) 3) (fma.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 4 (*.f64 beta 2)))))) (pow.f64 alpha 3)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 (neg.f64 (/.f64 (+.f64 beta (+.f64 6 (*.f64 beta 2))) alpha)) (/.f64 (+.f64 4 (*.f64 beta 2)) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2)))))) |
(fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (+.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 3)) (fma.f64 4 (pow.f64 (+.f64 beta 2) 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 4 (*.f64 beta 2)))))) (pow.f64 alpha 3)) (+.f64 (/.f64 (+.f64 4 (*.f64 beta 2)) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (neg.f64 (/.f64 (+.f64 (*.f64 beta 2) (+.f64 beta 6)) alpha))))) |
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-1 |
(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) 1) |
(+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) -1) |
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-1 |
(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) 1) |
(+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) -1) |
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(/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) |
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(fma.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) |
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(fma.f64 -10 (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6)) (fma.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 6 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))) |
1 |
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(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (+.f64 1 (/.f64 (+.f64 (*.f64 beta -2) -4) alpha))) |
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1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha))) |
(+.f64 1 (neg.f64 (/.f64 (+.f64 beta (+.f64 6 (*.f64 beta 2))) alpha))) |
(+.f64 1 (neg.f64 (/.f64 (+.f64 (*.f64 beta 2) (+.f64 beta 6)) alpha))) |
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1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1) |
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) |
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1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1) |
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) |
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(/.f64 alpha (+.f64 2 alpha)) |
(/.f64 alpha (+.f64 alpha 2)) |
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(+.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (neg.f64 beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))) |
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(/.f64 alpha beta) |
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(/.f64 alpha beta) |
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(-.f64 (exp.f64 (log.f64 (+.f64 0 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) 1) |
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) |
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(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) |
(-.f64 (+.f64 -1 (exp.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) 1) |
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(*.f64 (sqrt.f64 alpha) (/.f64 (sqrt.f64 alpha) (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 (*.f64 (sqrt.f64 alpha) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (cbrt.f64 alpha) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 alpha (+.f64 beta 2)))) |
(/.f64 (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2)) (+.f64 alpha (+.f64 beta 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) |
(*.f64 (/.f64 (/.f64 alpha 1) 1) (/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))) |
(/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) |
(/.f64 (neg.f64 alpha) (-.f64 (-.f64 -2 beta) alpha)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 alpha)) |
(*.f64 (cbrt.f64 alpha) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 alpha (+.f64 beta 2)))) |
(/.f64 (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2)) (+.f64 alpha (+.f64 beta 2))) |
(*.f64 (/.f64 alpha (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (neg.f64 (-.f64 alpha (+.f64 beta 2)))) |
(*.f64 (neg.f64 (-.f64 (-.f64 alpha beta) 2)) (/.f64 alpha (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))) |
(/.f64 (*.f64 alpha (-.f64 (neg.f64 alpha) (-.f64 -2 beta))) (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) |
(*.f64 (/.f64 alpha (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))) |
(*.f64 (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))) (/.f64 alpha (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))) |
(*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 2 (-.f64 alpha beta)))) (/.f64 (neg.f64 alpha) (-.f64 (pow.f64 (neg.f64 alpha) 3) (pow.f64 (+.f64 beta 2) 3)))) |
(*.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 beta (-.f64 2 alpha))) |
(*.f64 (+.f64 beta (-.f64 2 alpha)) (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))) |
(*.f64 (-.f64 2 (-.f64 alpha beta)) (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))) |
(*.f64 (/.f64 alpha (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 4)) (+.f64 alpha (+.f64 beta -2))) |
(*.f64 (+.f64 alpha (+.f64 beta -2)) (/.f64 alpha (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) -4))) |
(/.f64 (*.f64 alpha (+.f64 beta (+.f64 -2 alpha))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) -4)) |
(*.f64 (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 4 (*.f64 (+.f64 alpha beta) 2)))) |
(*.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))) (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 2)) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha)) |
(*.f64 (cbrt.f64 alpha) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (cbrt.f64 alpha) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (-.f64 alpha (+.f64 beta 2))) |
(*.f64 (neg.f64 (-.f64 (-.f64 alpha beta) 2)) (/.f64 alpha (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))) |
(/.f64 (*.f64 alpha (-.f64 (neg.f64 alpha) (-.f64 -2 beta))) (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) |
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))) |
(*.f64 (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))) (/.f64 alpha (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))) |
(*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 2 (-.f64 alpha beta)))) (/.f64 (neg.f64 alpha) (-.f64 (pow.f64 (neg.f64 alpha) 3) (pow.f64 (+.f64 beta 2) 3)))) |
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (neg.f64 (-.f64 alpha (+.f64 beta 2)))) |
(*.f64 (neg.f64 (-.f64 (-.f64 alpha beta) 2)) (/.f64 alpha (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))) |
(/.f64 (*.f64 alpha (-.f64 (neg.f64 alpha) (-.f64 -2 beta))) (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) |
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))) |
(*.f64 (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))) (/.f64 alpha (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))) |
(*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 2 (-.f64 alpha beta)))) (/.f64 (neg.f64 alpha) (-.f64 (pow.f64 (neg.f64 alpha) 3) (pow.f64 (+.f64 beta 2) 3)))) |
(*.f64 (/.f64 (/.f64 alpha 1) (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 beta (-.f64 2 alpha))) |
(*.f64 (+.f64 beta (-.f64 2 alpha)) (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))) |
(*.f64 (-.f64 2 (-.f64 alpha beta)) (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))) |
(*.f64 (/.f64 (/.f64 alpha 1) (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 4)) (+.f64 alpha (+.f64 beta -2))) |
(*.f64 (+.f64 alpha (+.f64 beta -2)) (/.f64 alpha (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) -4))) |
(/.f64 (*.f64 alpha (+.f64 beta (+.f64 -2 alpha))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) -4)) |
(*.f64 (/.f64 (/.f64 alpha 1) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 4 (*.f64 (+.f64 alpha beta) 2)))) |
(*.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))) (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) |
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (sqrt.f64 (-.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (sqrt.f64 (-.f64 (-.f64 alpha beta) 2))) |
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))) |
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 2 (-.f64 alpha beta)))))) |
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (cbrt.f64 (-.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (cbrt.f64 (-.f64 (-.f64 alpha beta) 2))) |
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))) |
(*.f64 (/.f64 alpha (*.f64 (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))) |
(*.f64 (/.f64 (/.f64 alpha (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 2 (-.f64 alpha beta)))))) |
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 1/3) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -1) |
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) |
(neg.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta)))) |
(/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) |
(/.f64 (neg.f64 alpha) (-.f64 (-.f64 -2 beta) alpha)) |
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) |
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
Compiled 12 to 9 computations (25% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (*.f64 (/.f64 2 alpha) beta) 2) |
| ✓ | 0.4b | (*.f64 (/.f64 2 alpha) beta) |
Compiled 20 to 13 computations (35% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | beta | @ | inf | (*.f64 (/.f64 2 alpha) beta) |
| 0.0ms | beta | @ | 0 | (*.f64 (/.f64 2 alpha) beta) |
| 0.0ms | alpha | @ | inf | (*.f64 (/.f64 2 alpha) beta) |
| 0.0ms | alpha | @ | 0 | (*.f64 (/.f64 2 alpha) beta) |
| 0.0ms | beta | @ | -inf | (*.f64 (/.f64 2 alpha) beta) |
| 1× | batch-egg-rewrite |
| 1818× | add-sqr-sqrt |
| 1792× | *-un-lft-identity |
| 1678× | add-cube-cbrt |
| 1660× | add-cbrt-cube |
| 170× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 1 | 176 | 32 |
| 2 | 2254 | 32 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 2 alpha) beta) |
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 beta (*.f64 alpha 1/2))))) (#(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 beta -2) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 beta) (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 beta) (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 beta alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 beta alpha)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 alpha) (*.f64 beta 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 alpha) (/.f64 1 (/.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (*.f64 (/.f64 2 alpha) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 beta alpha)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (*.f64 (/.f64 2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha))) (sqrt.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) (*.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha))) (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha))) 2) (cbrt.f64 (/.f64 2 (*.f64 (/.f64 2 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 1/2 (*.f64 2 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 alpha) (neg.f64 beta)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 alpha) 2) beta)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 2 (*.f64 2 beta)) alpha) -1)))) (#(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 (*.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (pow.f64 (exp.f64 beta) (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha)))))))) |
| 1× | egg-herbie |
| 1600× | associate-*l/ |
| 1184× | associate-+r- |
| 738× | associate-/l* |
| 712× | unswap-sqr |
| 584× | associate-/r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 122 | 1004 |
| 1 | 285 | 1004 |
| 2 | 1195 | 992 |
| 3 | 7282 | 992 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha)))) 1) |
(/.f64 2 (/.f64 alpha beta)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(/.f64 1 (/.f64 alpha (*.f64 2 beta))) |
(/.f64 (*.f64 2 beta) alpha) |
(/.f64 (*.f64 beta -2) (neg.f64 alpha)) |
(/.f64 (*.f64 -2 beta) (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 beta) (/.f64 2 alpha))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 beta alpha))))) |
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha)))) |
(exp.f64 (log.f64 (*.f64 2 (/.f64 beta alpha)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 beta alpha))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 beta alpha)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha)))) 1) |
(*.f64 (/.f64 2 alpha) (*.f64 beta 1/2)) |
(*.f64 (/.f64 2 alpha) (/.f64 1 (/.f64 2 beta))) |
(*.f64 beta (*.f64 (/.f64 2 alpha) 1/2)) |
(*.f64 (*.f64 2 (/.f64 beta alpha)) 1/2) |
(*.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha)) 1) |
(*.f64 1 (/.f64 2 (*.f64 (/.f64 2 beta) alpha))) |
(*.f64 (sqrt.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha))) (sqrt.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha)))) |
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) (*.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 1/2)) |
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha))) (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha))) 2) (cbrt.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 2) (*.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 1/2)) |
(*.f64 1/2 (*.f64 2 (/.f64 beta alpha))) |
(*.f64 (*.f64 (/.f64 2 alpha) (neg.f64 beta)) -1/2) |
(*.f64 (/.f64 (/.f64 2 alpha) 2) beta) |
(pow.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha)) 1) |
(pow.f64 (sqrt.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha))) 2) |
(pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha))) 3) |
(pow.f64 (pow.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha)) 3) 1/3) |
(pow.f64 (*.f64 (/.f64 2 (*.f64 2 beta)) alpha) -1) |
(neg.f64 (/.f64 (*.f64 2 (/.f64 beta alpha)) -2)) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 2) 1/4)) |
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 beta) (/.f64 2 alpha)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha))))) |
(cbrt.f64 (pow.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha)))) |
(exp.f64 (log.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha)))) |
| Outputs |
|---|
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha)))) 1) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 2 (/.f64 alpha beta)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 beta (*.f64 alpha 1/2)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 1 (/.f64 alpha (*.f64 2 beta))) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 (*.f64 2 beta) alpha) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 (*.f64 beta -2) (neg.f64 alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 (*.f64 -2 beta) (neg.f64 alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 (/.f64 (*.f64 2 beta) 1) alpha) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 (/.f64 (*.f64 2 beta) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 (/.f64 (*.f64 2 beta) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(/.f64 (neg.f64 (*.f64 2 beta)) (neg.f64 alpha)) |
(*.f64 2 (/.f64 beta alpha)) |
(pow.f64 (*.f64 2 (/.f64 beta alpha)) 1) |
(*.f64 2 (/.f64 beta alpha)) |
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 2) |
(*.f64 2 (/.f64 beta alpha)) |
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 3) |
(*.f64 2 (/.f64 beta alpha)) |
(pow.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3) 1/3) |
(*.f64 2 (/.f64 beta alpha)) |
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 2)) |
(*.f64 2 (/.f64 beta alpha)) |
(log.f64 (pow.f64 (exp.f64 beta) (/.f64 2 alpha))) |
(*.f64 2 (/.f64 beta alpha)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 beta alpha))))) |
(*.f64 2 (/.f64 beta alpha)) |
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 3)) |
(*.f64 2 (/.f64 beta alpha)) |
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha)))) |
(*.f64 2 (/.f64 beta alpha)) |
(exp.f64 (log.f64 (*.f64 2 (/.f64 beta alpha)))) |
(*.f64 2 (/.f64 beta alpha)) |
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 beta alpha))) 1)) |
(*.f64 2 (/.f64 beta alpha)) |
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 beta alpha)))) |
(*.f64 2 (/.f64 beta alpha)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha)))) 1) |
(/.f64 beta alpha) |
(*.f64 (/.f64 2 alpha) (*.f64 beta 1/2)) |
(/.f64 beta alpha) |
(*.f64 (/.f64 2 alpha) (/.f64 1 (/.f64 2 beta))) |
(/.f64 beta alpha) |
(*.f64 beta (*.f64 (/.f64 2 alpha) 1/2)) |
(/.f64 beta alpha) |
(*.f64 (*.f64 2 (/.f64 beta alpha)) 1/2) |
(/.f64 beta alpha) |
(*.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha)) 1) |
(/.f64 beta alpha) |
(*.f64 1 (/.f64 2 (*.f64 (/.f64 2 beta) alpha))) |
(/.f64 beta alpha) |
(*.f64 (sqrt.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha))) (sqrt.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha)))) |
(/.f64 beta alpha) |
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) (*.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) 1/2)) |
(/.f64 beta alpha) |
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha))) (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha))) 2)) |
(/.f64 beta alpha) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha))) 2) (cbrt.f64 (/.f64 2 (*.f64 (/.f64 2 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 1/2 (*.f64 2 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
(*.f64 (*.f64 (/.f64 2 alpha) (neg.f64 beta)) -1/2) |
(/.f64 beta alpha) |
(*.f64 (/.f64 (/.f64 2 alpha) 2) beta) |
(/.f64 beta alpha) |
(pow.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha)) 1) |
(/.f64 beta alpha) |
(pow.f64 (sqrt.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha))) 2) |
(/.f64 beta alpha) |
(pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha))) 3) |
(/.f64 beta alpha) |
(pow.f64 (pow.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha)) 3) 1/3) |
(/.f64 beta alpha) |
(pow.f64 (*.f64 (/.f64 2 (*.f64 2 beta)) alpha) -1) |
(/.f64 beta alpha) |
(neg.f64 (/.f64 (*.f64 2 (/.f64 beta alpha)) -2)) |
(/.f64 beta alpha) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (/.f64 beta alpha)) 2) 1/4)) |
(sqrt.f64 (*.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) 1/4)) |
(sqrt.f64 (pow.f64 (/.f64 beta alpha) 2)) |
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 beta) (/.f64 2 alpha)))) |
(/.f64 beta alpha) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha))))) |
(/.f64 beta alpha) |
(cbrt.f64 (pow.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha)) 3)) |
(/.f64 beta alpha) |
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha)))) |
(/.f64 beta alpha) |
(exp.f64 (log.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha)))) |
(/.f64 beta alpha) |
(exp.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha))) 1)) |
(/.f64 beta alpha) |
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 (/.f64 2 beta) alpha)))) |
(/.f64 beta alpha) |
Compiled 19 to 15 computations (21.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 beta (+.f64 2 (*.f64 alpha 2))) |
| ✓ | 0.1b | (/.f64 -1/2 (/.f64 beta (+.f64 2 (*.f64 alpha 2)))) |
Compiled 42 to 32 computations (23.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | beta | @ | 0 | (/.f64 -1/2 (/.f64 beta (+.f64 2 (*.f64 alpha 2)))) |
| 1.0ms | beta | @ | inf | (/.f64 -1/2 (/.f64 beta (+.f64 2 (*.f64 alpha 2)))) |
| 0.0ms | alpha | @ | 0 | (/.f64 -1/2 (/.f64 beta (+.f64 2 (*.f64 alpha 2)))) |
| 0.0ms | beta | @ | -inf | (/.f64 beta (+.f64 2 (*.f64 alpha 2))) |
| 0.0ms | beta | @ | 0 | (/.f64 beta (+.f64 2 (*.f64 alpha 2))) |
| 1× | batch-egg-rewrite |
| 1560× | associate-*l/ |
| 1522× | associate-/r* |
| 1106× | *-commutative |
| 932× | associate-/l* |
| 652× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 44 |
| 1 | 228 | 36 |
| 2 | 3083 | 36 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1/2 (/.f64 beta (+.f64 2 (*.f64 alpha 2)))) |
(/.f64 beta (+.f64 2 (*.f64 alpha 2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 beta) (/.f64 (*.f64 -1/2 (*.f64 2 alpha)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 -1/2 (*.f64 2 alpha)) beta) (/.f64 -1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 (fma.f64 2 alpha 2) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 -1/2 beta) (+.f64 alpha 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (/.f64 -1/2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta))) (sqrt.f64 (*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (/.f64 -1/2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta))) 2) (cbrt.f64 (*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 beta) (fma.f64 2 alpha 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 2 alpha 2) beta) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -2 (*.f64 2 alpha)) (/.f64 1/2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 -1 beta) (fma.f64 2 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (neg.f64 (/.f64 (fma.f64 2 alpha 2) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (/.f64 -1/2 beta)) (sqrt.f64 (fma.f64 2 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (/.f64 -1/2 beta)) (cbrt.f64 (fma.f64 2 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 beta) (+.f64 alpha 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (*.f64 -1/2 (fma.f64 2 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 beta (fma.f64 2 alpha 2))) 2)) (*.f64 -1/2 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (sqrt.f64 beta)) (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta)))))) 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| 1× | egg-herbie |
| 1238× | associate-/l/ |
| 846× | associate-/r/ |
| 672× | distribute-lft-neg-out |
| 624× | distribute-rgt-neg-out |
| 514× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 357 | 4908 |
| 1 | 1017 | 4328 |
| 2 | 4144 | 3986 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) |
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) |
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) |
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) |
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) |
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) |
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) |
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) |
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) |
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) |
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) |
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) |
(/.f64 -1 beta) |
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta)) |
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta)) |
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta)) |
(*.f64 -1 (/.f64 alpha beta)) |
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta)) |
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta)) |
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta)) |
(*.f64 -1 (/.f64 alpha beta)) |
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta)) |
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta)) |
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta)) |
(/.f64 beta (+.f64 2 (*.f64 2 alpha))) |
(/.f64 beta (+.f64 2 (*.f64 2 alpha))) |
(/.f64 beta (+.f64 2 (*.f64 2 alpha))) |
(/.f64 beta (+.f64 2 (*.f64 2 alpha))) |
(/.f64 beta (+.f64 2 (*.f64 2 alpha))) |
(/.f64 beta (+.f64 2 (*.f64 2 alpha))) |
(/.f64 beta (+.f64 2 (*.f64 2 alpha))) |
(/.f64 beta (+.f64 2 (*.f64 2 alpha))) |
(/.f64 beta (+.f64 2 (*.f64 2 alpha))) |
(/.f64 beta (+.f64 2 (*.f64 2 alpha))) |
(/.f64 beta (+.f64 2 (*.f64 2 alpha))) |
(/.f64 beta (+.f64 2 (*.f64 2 alpha))) |
(*.f64 1/2 beta) |
(+.f64 (*.f64 -1/2 (*.f64 beta alpha)) (*.f64 1/2 beta)) |
(+.f64 (*.f64 -1/2 (*.f64 beta alpha)) (+.f64 (*.f64 1/2 (*.f64 beta (pow.f64 alpha 2))) (*.f64 1/2 beta))) |
(+.f64 (*.f64 -1/2 (*.f64 beta alpha)) (+.f64 (*.f64 1/2 (*.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 -1/2 (*.f64 beta (pow.f64 alpha 3))) (*.f64 1/2 beta)))) |
(*.f64 1/2 (/.f64 beta alpha)) |
(+.f64 (*.f64 1/2 (/.f64 beta alpha)) (*.f64 -1/2 (/.f64 beta (pow.f64 alpha 2)))) |
(+.f64 (*.f64 1/2 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 beta alpha)) (*.f64 -1/2 (/.f64 beta (pow.f64 alpha 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 beta (pow.f64 alpha 4))) (+.f64 (*.f64 1/2 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 beta alpha)) (*.f64 -1/2 (/.f64 beta (pow.f64 alpha 2)))))) |
(*.f64 1/2 (/.f64 beta alpha)) |
(+.f64 (*.f64 1/2 (/.f64 beta alpha)) (*.f64 -1/2 (/.f64 beta (pow.f64 alpha 2)))) |
(+.f64 (*.f64 1/2 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 beta alpha)) (*.f64 -1/2 (/.f64 beta (pow.f64 alpha 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 beta (pow.f64 alpha 4))) (+.f64 (*.f64 1/2 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 beta alpha)) (*.f64 -1/2 (/.f64 beta (pow.f64 alpha 2)))))) |
(+.f64 (/.f64 -1 beta) (/.f64 (*.f64 -1/2 (*.f64 2 alpha)) beta)) |
(+.f64 (/.f64 (*.f64 -1/2 (*.f64 2 alpha)) beta) (/.f64 -1 beta)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta)))) 1) |
(*.f64 -1/2 (/.f64 (fma.f64 2 alpha 2) beta)) |
(*.f64 2 (*.f64 (/.f64 -1/2 beta) (+.f64 alpha 1))) |
(*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta)) |
(*.f64 (*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta)) 1) |
(*.f64 1 (*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta))) |
(*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (/.f64 -1/2 beta))) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta))) (sqrt.f64 (*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta)))) |
(*.f64 (cbrt.f64 (fma.f64 2 alpha 2)) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (/.f64 -1/2 beta))) |
(*.f64 (cbrt.f64 (*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta))) 2) (cbrt.f64 (*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta)))) |
(*.f64 (/.f64 -1/2 beta) (fma.f64 2 alpha 2)) |
(*.f64 (/.f64 (fma.f64 2 alpha 2) beta) -1/2) |
(*.f64 (-.f64 -2 (*.f64 2 alpha)) (/.f64 1/2 beta)) |
(*.f64 1/2 (*.f64 (/.f64 -1 beta) (fma.f64 2 alpha 2))) |
(*.f64 1/2 (neg.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (/.f64 -1/2 beta)) (sqrt.f64 (fma.f64 2 alpha 2))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (/.f64 -1/2 beta)) (cbrt.f64 (fma.f64 2 alpha 2))) |
(*.f64 (*.f64 (/.f64 -1/2 beta) (+.f64 alpha 1)) 2) |
(*.f64 (/.f64 1 beta) (*.f64 -1/2 (fma.f64 2 alpha 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 beta (fma.f64 2 alpha 2))) 2)) (*.f64 -1/2 (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))) |
(*.f64 (/.f64 -1/2 (sqrt.f64 beta)) (/.f64 (fma.f64 2 alpha 2) (sqrt.f64 beta))) |
(*.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (fma.f64 2 alpha 2) (cbrt.f64 beta))) |
(*.f64 (/.f64 1/2 beta) (-.f64 -2 (*.f64 2 alpha))) |
(*.f64 (/.f64 -1 beta) (*.f64 -1/2 (-.f64 -2 (*.f64 2 alpha)))) |
(*.f64 (*.f64 (/.f64 -1 beta) (fma.f64 2 alpha 2)) 1/2) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 alpha 2)) (sqrt.f64 beta)) (*.f64 -1/2 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta)))) |
(*.f64 (/.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta))) 1) (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(*.f64 (/.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 beta (fma.f64 2 alpha 2))) 2)) 1) (cbrt.f64 (/.f64 (fma.f64 2 alpha 2) beta))) |
(*.f64 (/.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 beta (fma.f64 2 alpha 2))) 2)) (cbrt.f64 beta)) (cbrt.f64 (fma.f64 2 alpha 2))) |
(*.f64 (/.f64 -1/2 (/.f64 beta (sqrt.f64 (fma.f64 2 alpha 2)))) (sqrt.f64 (fma.f64 2 alpha 2))) |
(*.f64 (/.f64 -1/2 (/.f64 beta 1)) (fma.f64 2 alpha 2)) |
(*.f64 (/.f64 -1/2 (/.f64 beta (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2))) (cbrt.f64 (fma.f64 2 alpha 2))) |
(*.f64 (/.f64 -1/2 (/.f64 beta (+.f64 alpha 1))) 2) |
(*.f64 (/.f64 -1/2 (neg.f64 (neg.f64 beta))) (neg.f64 (-.f64 -2 (*.f64 2 alpha)))) |
(*.f64 (/.f64 (/.f64 -1/2 beta) (/.f64 1 (sqrt.f64 (fma.f64 2 alpha 2)))) (sqrt.f64 (fma.f64 2 alpha 2))) |
(*.f64 (/.f64 (/.f64 -1/2 beta) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2))) (cbrt.f64 (fma.f64 2 alpha 2))) |
(*.f64 (/.f64 (/.f64 -1/2 beta) (/.f64 1 (+.f64 alpha 1))) 2) |
(*.f64 (/.f64 (/.f64 -1/2 beta) -1) (-.f64 -2 (*.f64 2 alpha))) |
(*.f64 (/.f64 1/2 (neg.f64 (neg.f64 beta))) (-.f64 -2 (*.f64 2 alpha))) |
(*.f64 (/.f64 (*.f64 (/.f64 -1/2 beta) (-.f64 4 (*.f64 alpha (*.f64 alpha 4)))) (-.f64 4 (*.f64 alpha (*.f64 alpha 4)))) (fma.f64 2 alpha 2)) |
(*.f64 (/.f64 (*.f64 (/.f64 -1/2 beta) (-.f64 4 (*.f64 alpha (*.f64 alpha 4)))) (-.f64 8 (*.f64 8 (pow.f64 alpha 3)))) (+.f64 (+.f64 4 (*.f64 alpha (*.f64 alpha 4))) (*.f64 alpha 4))) |
(*.f64 (/.f64 (*.f64 (/.f64 -1/2 beta) (+.f64 8 (*.f64 8 (pow.f64 alpha 3)))) (-.f64 16 (*.f64 (-.f64 (*.f64 alpha (*.f64 alpha 4)) (*.f64 alpha 4)) (-.f64 (*.f64 alpha (*.f64 alpha 4)) (*.f64 alpha 4))))) (-.f64 4 (-.f64 (*.f64 alpha (*.f64 alpha 4)) (*.f64 alpha 4)))) |
(*.f64 (/.f64 (*.f64 (/.f64 -1/2 beta) (+.f64 8 (*.f64 8 (pow.f64 alpha 3)))) (+.f64 64 (pow.f64 (-.f64 (*.f64 alpha (*.f64 alpha 4)) (*.f64 alpha 4)) 3))) (-.f64 (+.f64 16 (*.f64 (-.f64 (*.f64 alpha (*.f64 alpha 4)) (*.f64 alpha 4)) (-.f64 (*.f64 alpha (*.f64 alpha 4)) (*.f64 alpha 4)))) (*.f64 4 (-.f64 (*.f64 alpha (*.f64 alpha 4)) (*.f64 alpha 4))))) |
(*.f64 (/.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (fma.f64 2 alpha 2) beta))) (sqrt.f64 (neg.f64 beta))) (sqrt.f64 (-.f64 -2 (*.f64 2 alpha)))) |
(*.f64 (/.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 beta (fma.f64 2 alpha 2))) 2)) (cbrt.f64 (neg.f64 beta))) (cbrt.f64 (-.f64 -2 (*.f64 2 alpha)))) |
(pow.f64 (*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta))) 3) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta)) 3) 1/3) |
(pow.f64 (/.f64 (/.f64 beta (+.f64 alpha 1)) -1) -1) |
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta)) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 -1/2 beta)) (fma.f64 2 alpha 2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta))))) |
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta)))) |
(exp.f64 (log.f64 (*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta)))) |
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta (fma.f64 2 alpha 2)))) 1) |
(*.f64 beta (/.f64 1/2 (+.f64 alpha 1))) |
(*.f64 (/.f64 beta (fma.f64 2 alpha 2)) 1) |
(*.f64 1 (/.f64 beta (fma.f64 2 alpha 2))) |
(*.f64 (sqrt.f64 (/.f64 beta (fma.f64 2 alpha 2))) (sqrt.f64 (/.f64 beta (fma.f64 2 alpha 2)))) |
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1/2 (+.f64 alpha 1)))) |
(*.f64 (cbrt.f64 (/.f64 beta (fma.f64 2 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 beta (fma.f64 2 alpha 2))) 2)) |
(*.f64 (cbrt.f64 (/.f64 beta (fma.f64 2 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (fma.f64 2 alpha 2))) 2) (cbrt.f64 (/.f64 beta (fma.f64 2 alpha 2)))) |
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1/2 (+.f64 alpha 1)))) |
(*.f64 (+.f64 2 (*.f64 alpha -2)) (/.f64 beta (-.f64 4 (*.f64 alpha (*.f64 alpha 4))))) |
(*.f64 (/.f64 1/2 (+.f64 alpha 1)) beta) |
(*.f64 (+.f64 4 (-.f64 (*.f64 alpha (*.f64 alpha 4)) (*.f64 alpha 4))) (/.f64 beta (+.f64 8 (*.f64 8 (pow.f64 alpha 3))))) |
(*.f64 (neg.f64 beta) (/.f64 -1 (fma.f64 2 alpha 2))) |
(*.f64 (*.f64 (sqrt.f64 beta) (/.f64 1/2 (+.f64 alpha 1))) (sqrt.f64 beta)) |
(*.f64 (*.f64 (cbrt.f64 beta) (/.f64 1/2 (+.f64 alpha 1))) (pow.f64 (cbrt.f64 beta) 2)) |
(*.f64 (/.f64 beta 1) (/.f64 1/2 (+.f64 alpha 1))) |
(*.f64 (/.f64 beta (sqrt.f64 (fma.f64 2 alpha 2))) (/.f64 1 (sqrt.f64 (fma.f64 2 alpha 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 2 alpha 2))) (/.f64 beta (sqrt.f64 (fma.f64 2 alpha 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2)) (/.f64 beta (cbrt.f64 (fma.f64 2 alpha 2)))) |
(*.f64 (/.f64 1 (+.f64 alpha 1)) (/.f64 beta 2)) |
(*.f64 (/.f64 beta (cbrt.f64 (fma.f64 2 alpha 2))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2))) |
(*.f64 (/.f64 beta 2) (/.f64 1 (+.f64 alpha 1))) |
(*.f64 (/.f64 beta (-.f64 4 (*.f64 alpha (*.f64 alpha 4)))) (+.f64 2 (*.f64 alpha -2))) |
(*.f64 (/.f64 beta (+.f64 8 (*.f64 8 (pow.f64 alpha 3)))) (+.f64 4 (-.f64 (*.f64 alpha (*.f64 alpha 4)) (*.f64 alpha 4)))) |
(*.f64 (/.f64 1 (-.f64 4 (*.f64 alpha (*.f64 alpha 4)))) (*.f64 beta (+.f64 2 (*.f64 alpha -2)))) |
(*.f64 (/.f64 1 (+.f64 8 (*.f64 8 (pow.f64 alpha 3)))) (*.f64 beta (+.f64 4 (-.f64 (*.f64 alpha (*.f64 alpha 4)) (*.f64 alpha 4))))) |
(*.f64 -1 (/.f64 (neg.f64 beta) (fma.f64 2 alpha 2))) |
(*.f64 (/.f64 -1 (fma.f64 2 alpha 2)) (neg.f64 beta)) |
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (fma.f64 2 alpha 2))) |
(*.f64 (/.f64 (sqrt.f64 beta) (fma.f64 2 alpha 2)) (sqrt.f64 beta)) |
(*.f64 (/.f64 (sqrt.f64 beta) (fma.f64 2 alpha 2)) (/.f64 (sqrt.f64 beta) 1)) |
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (fma.f64 2 alpha 2)))) |
(*.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 (fma.f64 2 alpha 2))) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2))) |
(*.f64 (/.f64 (sqrt.f64 beta) (+.f64 alpha 1)) (/.f64 (sqrt.f64 beta) 2)) |
(*.f64 (/.f64 (sqrt.f64 beta) 2) (/.f64 (sqrt.f64 beta) (+.f64 alpha 1))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (fma.f64 2 alpha 2))) |
(*.f64 (/.f64 (cbrt.f64 beta) (fma.f64 2 alpha 2)) (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (fma.f64 2 alpha 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (fma.f64 2 alpha 2)))) |
(*.f64 (/.f64 (cbrt.f64 beta) (sqrt.f64 (fma.f64 2 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (fma.f64 2 alpha 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2)) (cbrt.f64 (/.f64 beta (fma.f64 2 alpha 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (+.f64 alpha 1)) (/.f64 (cbrt.f64 beta) 2)) |
(*.f64 (/.f64 (cbrt.f64 beta) 2) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (+.f64 alpha 1))) |
(*.f64 (/.f64 (/.f64 beta 1) 1) (/.f64 1/2 (+.f64 alpha 1))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (fma.f64 2 alpha 2)) (cbrt.f64 beta)) |
(*.f64 (/.f64 beta (neg.f64 (-.f64 4 (*.f64 alpha (*.f64 alpha 4))))) (neg.f64 (+.f64 2 (*.f64 alpha -2)))) |
(*.f64 (/.f64 beta (neg.f64 (+.f64 8 (*.f64 8 (pow.f64 alpha 3))))) (neg.f64 (+.f64 4 (-.f64 (*.f64 alpha (*.f64 alpha 4)) (*.f64 alpha 4))))) |
(*.f64 (/.f64 beta (-.f64 (*.f64 alpha (*.f64 alpha 4)) 4)) (-.f64 (*.f64 2 alpha) 2)) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 beta (fma.f64 2 alpha 2))) 2))) (cbrt.f64 (/.f64 beta (fma.f64 2 alpha 2)))) |
(*.f64 (/.f64 1 (/.f64 (fma.f64 2 alpha 2) (pow.f64 (cbrt.f64 beta) 2))) (cbrt.f64 beta)) |
(*.f64 (/.f64 (neg.f64 beta) (neg.f64 (-.f64 4 (*.f64 alpha (*.f64 alpha 4))))) (+.f64 2 (*.f64 alpha -2))) |
(*.f64 (/.f64 (neg.f64 beta) (neg.f64 (+.f64 8 (*.f64 8 (pow.f64 alpha 3))))) (+.f64 4 (-.f64 (*.f64 alpha (*.f64 alpha 4)) (*.f64 alpha 4)))) |
(*.f64 (/.f64 (/.f64 beta 1) (neg.f64 (-.f64 4 (*.f64 alpha (*.f64 alpha 4))))) (neg.f64 (+.f64 2 (*.f64 alpha -2)))) |
(*.f64 (/.f64 (/.f64 beta 1) (neg.f64 (+.f64 8 (*.f64 8 (pow.f64 alpha 3))))) (neg.f64 (+.f64 4 (-.f64 (*.f64 alpha (*.f64 alpha 4)) (*.f64 alpha 4))))) |
(*.f64 (/.f64 (/.f64 beta 1) (-.f64 (*.f64 alpha (*.f64 alpha 4)) 4)) (-.f64 (*.f64 2 alpha) 2)) |
(*.f64 (/.f64 (/.f64 beta (sqrt.f64 (fma.f64 2 alpha 2))) (sqrt.f64 (-.f64 4 (*.f64 alpha (*.f64 alpha 4))))) (sqrt.f64 (+.f64 2 (*.f64 alpha -2)))) |
(*.f64 (/.f64 (/.f64 beta (sqrt.f64 (fma.f64 2 alpha 2))) (sqrt.f64 (+.f64 8 (*.f64 8 (pow.f64 alpha 3))))) (sqrt.f64 (+.f64 4 (-.f64 (*.f64 alpha (*.f64 alpha 4)) (*.f64 alpha 4))))) |
(*.f64 (/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2)) (cbrt.f64 (-.f64 4 (*.f64 alpha (*.f64 alpha 4))))) (cbrt.f64 (+.f64 2 (*.f64 alpha -2)))) |
(*.f64 (/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2)) (cbrt.f64 (+.f64 8 (*.f64 8 (pow.f64 alpha 3))))) (cbrt.f64 (+.f64 4 (-.f64 (*.f64 alpha (*.f64 alpha 4)) (*.f64 alpha 4))))) |
(pow.f64 (/.f64 beta (fma.f64 2 alpha 2)) 1) |
(pow.f64 (sqrt.f64 (/.f64 beta (fma.f64 2 alpha 2))) 2) |
(pow.f64 (cbrt.f64 (/.f64 beta (fma.f64 2 alpha 2))) 3) |
(pow.f64 (pow.f64 (/.f64 beta (fma.f64 2 alpha 2)) 3) 1/3) |
(pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) -1) |
(neg.f64 (/.f64 beta (-.f64 -2 (*.f64 2 alpha)))) |
(sqrt.f64 (pow.f64 (/.f64 beta (fma.f64 2 alpha 2)) 2)) |
(log.f64 (exp.f64 (/.f64 beta (fma.f64 2 alpha 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (fma.f64 2 alpha 2))))) |
(cbrt.f64 (pow.f64 (/.f64 beta (fma.f64 2 alpha 2)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 beta (fma.f64 2 alpha 2)))) |
(exp.f64 (log.f64 (/.f64 beta (fma.f64 2 alpha 2)))) |
(log1p.f64 (expm1.f64 (/.f64 beta (fma.f64 2 alpha 2)))) |
| Outputs |
|---|
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) |
(*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta)) |
(/.f64 (neg.f64 (+.f64 alpha 1)) beta) |
(/.f64 (-.f64 -1 alpha) beta) |
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) |
(*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta)) |
(/.f64 (neg.f64 (+.f64 alpha 1)) beta) |
(/.f64 (-.f64 -1 alpha) beta) |
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) |
(*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta)) |
(/.f64 (neg.f64 (+.f64 alpha 1)) beta) |
(/.f64 (-.f64 -1 alpha) beta) |
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) |
(*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta)) |
(/.f64 (neg.f64 (+.f64 alpha 1)) beta) |
(/.f64 (-.f64 -1 alpha) beta) |
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) |
(*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta)) |
(/.f64 (neg.f64 (+.f64 alpha 1)) beta) |
(/.f64 (-.f64 -1 alpha) beta) |
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) |
(*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta)) |
(/.f64 (neg.f64 (+.f64 alpha 1)) beta) |
(/.f64 (-.f64 -1 alpha) beta) |
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) |
(*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta)) |
(/.f64 (neg.f64 (+.f64 alpha 1)) beta) |
(/.f64 (-.f64 -1 alpha) beta) |
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) |
(*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta)) |
(/.f64 (neg.f64 (+.f64 alpha 1)) beta) |
(/.f64 (-.f64 -1 alpha) beta) |
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) |
(*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta)) |
(/.f64 (neg.f64 (+.f64 alpha 1)) beta) |
(/.f64 (-.f64 -1 alpha) beta) |
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) |
(*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta)) |
(/.f64 (neg.f64 (+.f64 alpha 1)) beta) |
(/.f64 (-.f64 -1 alpha) beta) |
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) |
(*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta)) |
(/.f64 (neg.f64 (+.f64 alpha 1)) beta) |
(/.f64 (-.f64 -1 alpha) beta) |
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) |
(*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta)) |
(/.f64 (neg.f64 (+.f64 alpha 1)) beta) |
(/.f64 (-.f64 -1 alpha) beta) |
(/.f64 -1 beta) |
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta)) |
(*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta)) |
(/.f64 (neg.f64 (+.f64 alpha 1)) beta) |
(/.f64 (-.f64 -1 alpha) beta) |
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta)) |
(*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta)) |
(/.f64 (neg.f64 (+.f64 alpha 1)) beta) |
(/.f64 (-.f64 -1 alpha) beta) |
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta)) |
(*.f64 (fma.f64 2 alpha 2) (/.f64 -1/2 beta)) |
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(*.f64 (/.f64 beta (fma.f64 (*.f64 alpha alpha) 4 -4)) (fma.f64 2 alpha -2)) |
(*.f64 (/.f64 beta (fma.f64 alpha (*.f64 alpha 4) -4)) (fma.f64 2 alpha -2)) |
(*.f64 (/.f64 (/.f64 beta 1) (neg.f64 (+.f64 8 (*.f64 8 (pow.f64 alpha 3))))) (neg.f64 (+.f64 4 (-.f64 (*.f64 alpha (*.f64 alpha 4)) (*.f64 alpha 4))))) |
(*.f64 (/.f64 beta (+.f64 -8 (neg.f64 (*.f64 (pow.f64 alpha 3) 8)))) (+.f64 -4 (neg.f64 (*.f64 alpha (-.f64 (*.f64 alpha 4) 4))))) |
(*.f64 (fma.f64 alpha (fma.f64 alpha 4 -4) 4) (*.f64 1 (/.f64 beta (fma.f64 (pow.f64 alpha 3) 8 8)))) |
(*.f64 (/.f64 (/.f64 beta 1) (-.f64 (*.f64 alpha (*.f64 alpha 4)) 4)) (-.f64 (*.f64 2 alpha) 2)) |
(*.f64 (/.f64 beta (neg.f64 (-.f64 4 (*.f64 (*.f64 alpha alpha) 4)))) (+.f64 -2 (neg.f64 (*.f64 alpha -2)))) |
(*.f64 (/.f64 beta (fma.f64 (*.f64 alpha alpha) 4 -4)) (fma.f64 2 alpha -2)) |
(*.f64 (/.f64 beta (fma.f64 alpha (*.f64 alpha 4) -4)) (fma.f64 2 alpha -2)) |
(*.f64 (/.f64 (/.f64 beta (sqrt.f64 (fma.f64 2 alpha 2))) (sqrt.f64 (-.f64 4 (*.f64 alpha (*.f64 alpha 4))))) (sqrt.f64 (+.f64 2 (*.f64 alpha -2)))) |
(*.f64 (/.f64 (/.f64 beta (sqrt.f64 (fma.f64 2 alpha 2))) (sqrt.f64 (-.f64 4 (*.f64 (*.f64 alpha alpha) 4)))) (sqrt.f64 (+.f64 2 (*.f64 alpha -2)))) |
(*.f64 (/.f64 (/.f64 beta (sqrt.f64 (fma.f64 2 alpha 2))) (sqrt.f64 (+.f64 4 (*.f64 (*.f64 alpha alpha) -4)))) (sqrt.f64 (fma.f64 alpha -2 2))) |
(*.f64 (/.f64 (/.f64 beta (sqrt.f64 (fma.f64 2 alpha 2))) (sqrt.f64 (+.f64 8 (*.f64 8 (pow.f64 alpha 3))))) (sqrt.f64 (+.f64 4 (-.f64 (*.f64 alpha (*.f64 alpha 4)) (*.f64 alpha 4))))) |
(*.f64 (/.f64 beta (*.f64 (sqrt.f64 (+.f64 8 (*.f64 (pow.f64 alpha 3) 8))) (sqrt.f64 (fma.f64 2 alpha 2)))) (sqrt.f64 (+.f64 4 (*.f64 alpha (-.f64 (*.f64 alpha 4) 4))))) |
(*.f64 (/.f64 (/.f64 beta (sqrt.f64 (fma.f64 2 alpha 2))) (sqrt.f64 (fma.f64 (pow.f64 alpha 3) 8 8))) (sqrt.f64 (fma.f64 alpha (fma.f64 alpha 4 -4) 4))) |
(*.f64 (/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2)) (cbrt.f64 (-.f64 4 (*.f64 alpha (*.f64 alpha 4))))) (cbrt.f64 (+.f64 2 (*.f64 alpha -2)))) |
(*.f64 (/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2)) (cbrt.f64 (-.f64 4 (*.f64 (*.f64 alpha alpha) 4)))) (cbrt.f64 (+.f64 2 (*.f64 alpha -2)))) |
(/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2)) (/.f64 (cbrt.f64 (+.f64 4 (*.f64 (*.f64 alpha alpha) -4))) (cbrt.f64 (fma.f64 alpha -2 2)))) |
(*.f64 (/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2)) (cbrt.f64 (+.f64 8 (*.f64 8 (pow.f64 alpha 3))))) (cbrt.f64 (+.f64 4 (-.f64 (*.f64 alpha (*.f64 alpha 4)) (*.f64 alpha 4))))) |
(*.f64 (/.f64 beta (*.f64 (cbrt.f64 (+.f64 8 (*.f64 (pow.f64 alpha 3) 8))) (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2))) (cbrt.f64 (+.f64 4 (*.f64 alpha (-.f64 (*.f64 alpha 4) 4))))) |
(*.f64 (/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2)) (cbrt.f64 (fma.f64 (pow.f64 alpha 3) 8 8))) (cbrt.f64 (fma.f64 alpha (fma.f64 alpha 4 -4) 4))) |
(*.f64 (/.f64 beta (*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 alpha 2)) 2) (cbrt.f64 (fma.f64 (pow.f64 alpha 3) 8 8)))) (cbrt.f64 (fma.f64 alpha (fma.f64 alpha 4 -4) 4))) |
(pow.f64 (/.f64 beta (fma.f64 2 alpha 2)) 1) |
(/.f64 beta (fma.f64 2 alpha 2)) |
(pow.f64 (sqrt.f64 (/.f64 beta (fma.f64 2 alpha 2))) 2) |
(/.f64 beta (fma.f64 2 alpha 2)) |
(pow.f64 (cbrt.f64 (/.f64 beta (fma.f64 2 alpha 2))) 3) |
(/.f64 beta (fma.f64 2 alpha 2)) |
(pow.f64 (pow.f64 (/.f64 beta (fma.f64 2 alpha 2)) 3) 1/3) |
(/.f64 beta (fma.f64 2 alpha 2)) |
(pow.f64 (/.f64 (fma.f64 2 alpha 2) beta) -1) |
(/.f64 beta (fma.f64 2 alpha 2)) |
(neg.f64 (/.f64 beta (-.f64 -2 (*.f64 2 alpha)))) |
(/.f64 beta (fma.f64 2 alpha 2)) |
(sqrt.f64 (pow.f64 (/.f64 beta (fma.f64 2 alpha 2)) 2)) |
(fabs.f64 (/.f64 beta (fma.f64 2 alpha 2))) |
(log.f64 (exp.f64 (/.f64 beta (fma.f64 2 alpha 2)))) |
(/.f64 beta (fma.f64 2 alpha 2)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (fma.f64 2 alpha 2))))) |
(/.f64 beta (fma.f64 2 alpha 2)) |
(cbrt.f64 (pow.f64 (/.f64 beta (fma.f64 2 alpha 2)) 3)) |
(/.f64 beta (fma.f64 2 alpha 2)) |
(expm1.f64 (log1p.f64 (/.f64 beta (fma.f64 2 alpha 2)))) |
(/.f64 beta (fma.f64 2 alpha 2)) |
(exp.f64 (log.f64 (/.f64 beta (fma.f64 2 alpha 2)))) |
(/.f64 beta (fma.f64 2 alpha 2)) |
(log1p.f64 (expm1.f64 (/.f64 beta (fma.f64 2 alpha 2)))) |
(/.f64 beta (fma.f64 2 alpha 2)) |
Compiled 64831 to 46224 computations (28.7% saved)
16 alts after pruning (9 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1285 | 5 | 1290 |
| Fresh | 2 | 4 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 7 | 9 |
| Total | 1290 | 16 | 1306 |
| Status | Error | Program |
|---|---|---|
| 31.0b | (/.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3) 2) | |
| ✓ | 47.5b | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
| ✓ | 50.7b | (/.f64 (/.f64 2 alpha) 2) |
| ▶ | 13.8b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -1 (*.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2) |
| 47.5b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) 2) | |
| ▶ | 13.7b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (log.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2) |
| ✓ | 13.7b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| ▶ | 31.0b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| ✓ | 14.3b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
| ✓ | 15.4b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| 33.0b | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) | |
| ✓ | 58.4b | (/.f64 (*.f64 (/.f64 2 alpha) beta) 2) |
| ▶ | 58.4b | (/.f64 beta alpha) |
| ✓ | 39.8b | (/.f64 2 2) |
| ▶ | 42.2b | (+.f64 1 (/.f64 (neg.f64 alpha) beta)) |
| 44.6b | (+.f64 1 (/.f64 -1 beta)) |
Compiled 431 to 324 computations (24.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) | |
| 0.1b | (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) | |
| ✓ | 1.2b | (log.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
| 1.2b | (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) |
Compiled 245 to 171 computations (30.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | beta | @ | 0 | (log.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
| 0.0ms | alpha | @ | inf | (log.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
| 0.0ms | alpha | @ | -inf | (log.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
| 0.0ms | beta | @ | inf | (log.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
| 0.0ms | beta | @ | -inf | (log.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
| 1× | batch-egg-rewrite |
| 1322× | distribute-lft-in |
| 1242× | associate-/r* |
| 804× | associate-/l* |
| 618× | associate-/r/ |
| 322× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 31 |
| 1 | 334 | 31 |
| 2 | 4254 | 31 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
| Outputs |
|---|
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/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)) (*.f64 (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3/2) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))))) |
| 1× | egg-herbie |
| 1810× | associate-*r/ |
| 1382× | associate-*l/ |
| 606× | fma-def |
| 526× | associate--l+ |
| 526× | associate-+r- |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 368 | 7537 |
| 1 | 1179 | 6933 |
| 2 | 4848 | 6907 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) 1) |
(-.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) 1) |
(-.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 6 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1) |
(/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) alpha) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))))))) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4)))))))))))) |
(*.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha)) |
(+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (+.f64 (*.f64 4 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 3))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (+.f64 (*.f64 4 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4)) (+.f64 (*.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (*.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha))))))))) |
(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)) 1) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))) 1) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))) alpha) (+.f64 2 alpha)) (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 5)) (*.f64 2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 5)))))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)))) 1) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))) alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 6))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 6))) (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 6))))))) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))) alpha) (+.f64 2 alpha)) (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 5)) (*.f64 2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 5)))))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))))) 1) |
-1 |
(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3)) (pow.f64 beta 5))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) alpha) (pow.f64 beta 5)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3)) (pow.f64 beta 5))))))) 1) |
-1 |
(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) alpha)))) (pow.f64 beta 5)))))) 1) |
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) |
(+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) -1) |
(+.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 0) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))))) |
(+.f64 0 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) |
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) 2))) |
(+.f64 (+.f64 0 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) -1) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))))) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) 2))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))))) |
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))))) (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))))) |
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) 1) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) 2) |
(-.f64 (/.f64 1 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(-.f64 (+.f64 -1 (exp.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) 1) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) 1) |
(-.f64 (+.f64 0 (/.f64 1 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))))) |
(*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 1) |
(*.f64 1 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) |
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (/.f64 1 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3/2)) (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3/2) 1)) |
(*.f64 (/.f64 1 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) |
(*.f64 (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)) (-.f64 1 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))) (-.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)) (+.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))) |
(/.f64 1 (/.f64 1 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)) (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (/.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))) (/.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) (/.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)))) (/.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))) (*.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 1) (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) -1)) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (*.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9) 3)) (*.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)) (*.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 3)) (*.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (neg.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 1) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (sqrt.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) (sqrt.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (*.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (cbrt.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) (cbrt.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)) 1) (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)) (*.f64 (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(pow.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 1) |
(pow.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) 2) |
(pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) 3) |
(pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 2)) |
(cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(exp.f64 (log.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) |
(fma.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) -1) |
(fma.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3/2) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3/2) -1) |
(fma.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) |
| Outputs |
|---|
-1 |
(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) 1) |
(+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) -1) |
(+.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) |
(-.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) 1) |
(+.f64 (fma.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) -1) |
(fma.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (+.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) |
(-.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 6 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1) |
(+.f64 (fma.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 6 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) -1) |
(fma.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (+.f64 (fma.f64 6 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) -1)) |
(/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) alpha) |
(/.f64 (*.f64 (+.f64 beta 2) -3) alpha) |
(/.f64 (+.f64 beta 2) (/.f64 alpha -3)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) |
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (*.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) 6))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) 6) (*.f64 alpha alpha)) (*.f64 (/.f64 (+.f64 beta 2) alpha) -3)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) 6) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) (/.f64 alpha -3))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))))))) |
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) 6) (fma.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (*.f64 -1 (+.f64 (/.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))))) |
(-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) 6 (+.f64 (/.f64 (neg.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 3)) (*.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) -3))) (fma.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 (fma.f64 beta -2 -4) alpha))) (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (+.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) 6 (+.f64 (/.f64 -3 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) -3))) (fma.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 (fma.f64 beta -2 -4) alpha)))) |
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4)))))))))))) |
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-1 |
(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) 1) |
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-1 |
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(-.f64 (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) alpha)))) (pow.f64 beta 5)))))) 1) |
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(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)))) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) (/.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) |
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (/.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)))) (/.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))))) |
(/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))) (/.f64 (/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))))) |
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))) (/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)))))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))) (*.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 18)) (*.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 1) (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) -1)) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (*.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12)) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9) 3)) (*.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)) (*.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)))))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9) 3)) (*.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (-.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 18)) (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9) 3)) (*.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 18)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 3)) (*.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 3)) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12)))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 3)) (*.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12)))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))) (neg.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)) 1) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) 1) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (sqrt.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) (sqrt.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (*.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (cbrt.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) (cbrt.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)) 1) (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)) 1) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)) 1) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)) (*.f64 (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)) 1) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))) |
(pow.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 1) |
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) |
(pow.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) 2) |
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) |
(pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) 3) |
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) |
(pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 3) 1/3) |
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) |
(sqrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 2)) |
(fabs.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) |
(cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 3)) |
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) |
(exp.f64 (log.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) |
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) 1)) |
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) |
(log1p.f64 (expm1.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) |
(fma.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) |
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) |
(fma.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) -1) |
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) |
(fma.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3/2) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3/2) -1) |
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) |
(fma.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) |
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) |
Compiled 7 to 3 computations (57.1% saved)
Compiled 17 to 7 computations (58.8% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 alpha (+.f64 alpha 2)) |
| ✓ | 1.6b | (-.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 | @ | -inf | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | 0 | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | inf | (/.f64 alpha (+.f64 alpha 2)) |
| 0.0ms | alpha | @ | 0 | (/.f64 alpha (+.f64 alpha 2)) |
| 1× | batch-egg-rewrite |
| 1378× | associate-*r/ |
| 948× | associate-*l/ |
| 902× | associate-/r* |
| 796× | *-commutative |
| 678× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 1 | 180 | 32 |
| 2 | 2431 | 32 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(/.f64 alpha (+.f64 alpha 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha 1) 1) (/.f64 1 (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 alpha 2)) (cbrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 alpha) (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 alpha) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 alpha 2) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha 1) (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (sqrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (fma.f64 alpha alpha -4))) (sqrt.f64 (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (cbrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (fma.f64 alpha alpha -4))) (cbrt.f64 (+.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 alpha (-.f64 -2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))))))) |
| 1× | egg-herbie |
| 1420× | associate-/r/ |
| 826× | associate-+l+ |
| 686× | associate-+r+ |
| 600× | +-commutative |
| 492× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 395 | 7727 |
| 1 | 1123 | 6943 |
| 2 | 4260 | 6921 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 alpha)) |
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(*.f64 1/2 alpha) |
(+.f64 (*.f64 1/2 alpha) (*.f64 -1/4 (pow.f64 alpha 2))) |
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2)))) |
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha)))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1) |
(+.f64 (-.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1) |
(*.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) |
(*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1) |
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(*.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) |
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (/.f64 alpha (+.f64 alpha 2))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (-.f64 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (-.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1)))) |
(/.f64 1 (/.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (/.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))) |
(/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (-.f64 1 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (/.f64 (+.f64 alpha 2) alpha))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (-.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 3)) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 3)) (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha))))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3))) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (-.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) 1) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 3)) 1) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (-.f64 (/.f64 alpha (-.f64 -2 alpha)) 1)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) 1) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) 1) (neg.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (/.f64 (+.f64 alpha 2) alpha))) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) 3)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (+.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) 1) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1) |
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3)) |
(expm1.f64 (log.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha))))) |
(exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha)))) |
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(+.f64 (*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) alpha) (*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) -2)) |
(+.f64 (*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha alpha)) (*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 -2 alpha)))) |
(+.f64 (*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 -2 alpha))) (*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha alpha))) |
(+.f64 (*.f64 alpha (/.f64 alpha (fma.f64 alpha alpha -4))) (*.f64 -2 (/.f64 alpha (fma.f64 alpha alpha -4)))) |
(+.f64 (*.f64 (*.f64 alpha alpha) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))) (*.f64 (+.f64 4 (*.f64 -2 alpha)) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))))) |
(+.f64 (*.f64 (+.f64 4 (*.f64 -2 alpha)) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))) (*.f64 (*.f64 alpha alpha) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))))) |
(-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) |
(*.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(*.f64 alpha (/.f64 1 (+.f64 alpha 2))) |
(*.f64 (/.f64 alpha (+.f64 alpha 2)) 1) |
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (sqrt.f64 alpha) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2))) |
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)) |
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2))) |
(*.f64 (+.f64 alpha -2) (/.f64 alpha (fma.f64 alpha alpha -4))) |
(*.f64 (/.f64 1 (+.f64 alpha 2)) alpha) |
(*.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))) |
(*.f64 (neg.f64 alpha) (/.f64 -1 (+.f64 alpha 2))) |
(*.f64 (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)) (sqrt.f64 alpha)) |
(*.f64 (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)) (/.f64 (sqrt.f64 alpha) 1)) |
(*.f64 (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)) (pow.f64 (cbrt.f64 alpha) 2)) |
(*.f64 (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 alpha 1) (/.f64 1 (+.f64 alpha 2))) |
(*.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (/.f64 1 (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) |
(*.f64 (/.f64 1 (fma.f64 alpha alpha -4)) (*.f64 alpha (+.f64 alpha -2))) |
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2)) |
(*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) |
(*.f64 (/.f64 -1 (+.f64 alpha 2)) (neg.f64 alpha)) |
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2))) |
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))) (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (/.f64 (/.f64 alpha 1) 1) (/.f64 1 (+.f64 alpha 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 alpha 2)) (cbrt.f64 alpha)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 alpha (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 alpha -2)) |
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 alpha 2) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha)) |
(*.f64 (/.f64 alpha (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha)) |
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 (/.f64 alpha 1) (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha)) |
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (sqrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (fma.f64 alpha alpha -4))) (sqrt.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (cbrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (fma.f64 alpha alpha -4))) (cbrt.f64 (+.f64 alpha -2))) |
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1) |
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) |
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3) |
(pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1) |
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3) |
(neg.f64 (/.f64 alpha (-.f64 -2 alpha))) |
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) |
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))) |
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 alpha)) |
(fma.f64 -1/2 alpha 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))) |
(+.f64 1 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha)))) |
(+.f64 1 (fma.f64 -1/2 alpha (*.f64 alpha (*.f64 alpha 1/4)))) |
(+.f64 1 (*.f64 alpha (+.f64 -1/2 (*.f64 alpha 1/4)))) |
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))) |
(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 1 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha))))) |
(+.f64 (fma.f64 -1/2 alpha (*.f64 alpha (*.f64 alpha 1/4))) (fma.f64 -1/8 (pow.f64 alpha 3) 1)) |
(+.f64 (*.f64 alpha (+.f64 -1/2 (*.f64 alpha 1/4))) (fma.f64 -1/8 (pow.f64 alpha 3) 1)) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) |
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) |
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4))))) |
(*.f64 1/2 alpha) |
(*.f64 alpha 1/2) |
(+.f64 (*.f64 1/2 alpha) (*.f64 -1/4 (pow.f64 alpha 2))) |
(fma.f64 1/2 alpha (*.f64 -1/4 (*.f64 alpha alpha))) |
(fma.f64 alpha 1/2 (*.f64 alpha (*.f64 alpha -1/4))) |
(*.f64 alpha (+.f64 1/2 (*.f64 alpha -1/4))) |
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2)))) |
(fma.f64 1/2 alpha (fma.f64 1/8 (pow.f64 alpha 3) (*.f64 -1/4 (*.f64 alpha alpha)))) |
(fma.f64 alpha 1/2 (fma.f64 (pow.f64 alpha 3) 1/8 (*.f64 alpha (*.f64 alpha -1/4)))) |
(fma.f64 alpha 1/2 (*.f64 (*.f64 alpha alpha) (+.f64 -1/4 (*.f64 alpha 1/8)))) |
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))) |
(fma.f64 1/2 alpha (fma.f64 -1/16 (pow.f64 alpha 4) (fma.f64 1/8 (pow.f64 alpha 3) (*.f64 -1/4 (*.f64 alpha alpha))))) |
(fma.f64 alpha 1/2 (fma.f64 (pow.f64 alpha 4) -1/16 (fma.f64 (pow.f64 alpha 3) 1/8 (*.f64 alpha (*.f64 alpha -1/4))))) |
(fma.f64 alpha 1/2 (fma.f64 (pow.f64 alpha 4) -1/16 (*.f64 (*.f64 alpha alpha) (+.f64 -1/4 (*.f64 alpha 1/8))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 1 (/.f64 2 alpha)) |
(+.f64 1 (/.f64 -2 alpha)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha)))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3)))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))))) |
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 1 (-.f64 (/.f64 -2 alpha) (/.f64 8 (pow.f64 alpha 3))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 1 (/.f64 2 alpha)) |
(+.f64 1 (/.f64 -2 alpha)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha)))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3)))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))))) |
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (+.f64 1 (-.f64 (/.f64 -2 alpha) (/.f64 8 (pow.f64 alpha 3))))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(+.f64 (/.f64 alpha (-.f64 -2 alpha)) 1) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(+.f64 (-.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 1) |
(+.f64 1 (-.f64 0 (/.f64 alpha (+.f64 alpha 2)))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(*.f64 1 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(*.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) |
(/.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))) |
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(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (+.f64 alpha -2) (/.f64 alpha (fma.f64 alpha alpha -4))) |
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2)) |
(/.f64 (+.f64 alpha -2) (/.f64 (fma.f64 alpha alpha -4) alpha)) |
(*.f64 (/.f64 1 (+.f64 alpha 2)) alpha) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))) (/.f64 alpha (+.f64 8 (pow.f64 alpha 3)))) |
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (+.f64 (*.f64 alpha alpha) (+.f64 4 (*.f64 alpha -2)))) |
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (fma.f64 alpha (+.f64 alpha -2) 4)) |
(*.f64 (neg.f64 alpha) (/.f64 -1 (+.f64 alpha 2))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)) (sqrt.f64 alpha)) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)) (/.f64 (sqrt.f64 alpha) 1)) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)) (pow.f64 (cbrt.f64 alpha) 2)) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1)) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2)))) |
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2)))) |
(/.f64 (*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) 1) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) |
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) |
(*.f64 (/.f64 alpha 1) (/.f64 1 (+.f64 alpha 2))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (/.f64 1 (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2)))) |
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2))) |
(*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) |
(/.f64 (*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) 1) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) |
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) |
(*.f64 (/.f64 1 (fma.f64 alpha alpha -4)) (*.f64 alpha (+.f64 alpha -2))) |
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2)) |
(/.f64 (+.f64 alpha -2) (/.f64 (fma.f64 alpha alpha -4) alpha)) |
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (+.f64 (*.f64 alpha alpha) (+.f64 4 (*.f64 alpha -2)))) |
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (fma.f64 alpha (+.f64 alpha -2) 4)) |
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2)) |
(/.f64 (+.f64 alpha -2) (/.f64 (fma.f64 alpha alpha -4) alpha)) |
(*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) |
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (+.f64 (*.f64 alpha alpha) (+.f64 4 (*.f64 alpha -2)))) |
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) 8)) (fma.f64 alpha (+.f64 alpha -2) 4)) |
(*.f64 (/.f64 -1 (+.f64 alpha 2)) (neg.f64 alpha)) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2)))) |
(/.f64 (*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) 1) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) |
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) |
(*.f64 (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))) (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) |
(/.f64 (*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) 1) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) |
(/.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2)))) |
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2))) |
(*.f64 (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2)))) |
(/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) |
(*.f64 (/.f64 (/.f64 alpha 1) 1) (/.f64 1 (+.f64 alpha 2))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 alpha 2)) (cbrt.f64 alpha)) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha)) |
(*.f64 (/.f64 alpha (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 alpha (+.f64 -8 (neg.f64 (pow.f64 alpha 3)))) (+.f64 -4 (neg.f64 (*.f64 alpha (+.f64 alpha -2))))) |
(/.f64 (*.f64 alpha (+.f64 -4 (*.f64 alpha (-.f64 2 alpha)))) (-.f64 -8 (pow.f64 alpha 3))) |
(/.f64 (neg.f64 alpha) (/.f64 (-.f64 -8 (pow.f64 alpha 3)) (fma.f64 alpha (+.f64 alpha -2) 4))) |
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 alpha -2)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha)) |
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) |
(*.f64 (/.f64 alpha (+.f64 -8 (neg.f64 (pow.f64 alpha 3)))) (+.f64 -4 (neg.f64 (*.f64 alpha (+.f64 alpha -2))))) |
(/.f64 (*.f64 alpha (+.f64 -4 (*.f64 alpha (-.f64 2 alpha)))) (-.f64 -8 (pow.f64 alpha 3))) |
(/.f64 (neg.f64 alpha) (/.f64 (-.f64 -8 (pow.f64 alpha 3)) (fma.f64 alpha (+.f64 alpha -2) 4))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 alpha 2) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha)) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(*.f64 (/.f64 alpha (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha)) |
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (fma.f64 alpha alpha -4))) (neg.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha)) |
(*.f64 (/.f64 (/.f64 alpha 1) (neg.f64 (+.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 alpha (+.f64 -8 (neg.f64 (pow.f64 alpha 3)))) (+.f64 -4 (neg.f64 (*.f64 alpha (+.f64 alpha -2))))) |
(/.f64 (*.f64 alpha (+.f64 -4 (*.f64 alpha (-.f64 2 alpha)))) (-.f64 -8 (pow.f64 alpha 3))) |
(/.f64 (neg.f64 alpha) (/.f64 (-.f64 -8 (pow.f64 alpha 3)) (fma.f64 alpha (+.f64 alpha -2) 4))) |
(*.f64 (/.f64 (/.f64 alpha 1) (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (+.f64 (neg.f64 alpha) 2)) |
(*.f64 (/.f64 alpha (neg.f64 (fma.f64 alpha alpha -4))) (-.f64 2 alpha)) |
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (sqrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) 8))) (sqrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) 8))) (sqrt.f64 (fma.f64 alpha (+.f64 alpha -2) 4))) |
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (fma.f64 alpha alpha -4))) (sqrt.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 alpha (*.f64 (sqrt.f64 (fma.f64 alpha alpha -4)) (sqrt.f64 (+.f64 alpha 2)))) (sqrt.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 alpha 3)))) (cbrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 alpha (*.f64 (cbrt.f64 (+.f64 (pow.f64 alpha 3) 8)) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) (cbrt.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(*.f64 (/.f64 alpha (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (cbrt.f64 (+.f64 (pow.f64 alpha 3) 8)))) (cbrt.f64 (fma.f64 alpha (+.f64 alpha -2) 4))) |
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (fma.f64 alpha alpha -4))) (cbrt.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 alpha (*.f64 (cbrt.f64 (fma.f64 alpha alpha -4)) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2))) (cbrt.f64 (+.f64 alpha -2))) |
(*.f64 (/.f64 (/.f64 alpha (cbrt.f64 (fma.f64 alpha alpha -4))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 alpha -2))) |
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(neg.f64 (/.f64 alpha (-.f64 -2 alpha))) |
(/.f64 (neg.f64 alpha) (-.f64 -2 alpha)) |
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) |
(fabs.f64 (/.f64 alpha (+.f64 alpha 2))) |
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)) |
(/.f64 alpha (+.f64 alpha 2)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) |
| ✓ | 0.1b | (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) |
| ✓ | 0.4b | (*.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2)))) |
| ✓ | 2.4b | (+.f64 -1 (*.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))))) |
Compiled 337 to 204 computations (39.5% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | alpha | @ | 0 | (+.f64 -1 (*.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))))) |
| 2.0ms | beta | @ | 0 | (*.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2)))) |
| 2.0ms | alpha | @ | -inf | (+.f64 -1 (*.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))))) |
| 2.0ms | alpha | @ | inf | (+.f64 -1 (*.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))))) |
| 1.0ms | beta | @ | 0 | (+.f64 -1 (*.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))))) |
| 1× | batch-egg-rewrite |
| 484× | add-sqr-sqrt |
| 470× | pow1 |
| 470× | *-un-lft-identity |
| 450× | add-exp-log |
| 450× | add-cbrt-cube |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 196 |
| 1 | 463 | 100 |
| 2 | 7780 | 100 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 -1 (*.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2)))) |
(/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) |
(/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) |
| Outputs |
|---|
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2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 alpha) (log.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))))) |
| 1× | egg-herbie |
| 1360× | associate-*r* |
| 1208× | associate-/l* |
| 992× | associate-*l* |
| 970× | distribute-lft-in |
| 906× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 799 | 19750 |
| 1 | 2461 | 19384 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 4) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 5))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 5))))))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 6)) (+.f64 (*.f64 6 (/.f64 1 (pow.f64 (+.f64 beta 2) 6))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 5))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 5)))))) (pow.f64 (+.f64 beta 2) 3))) (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 6)))))) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 4) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 5))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 5))))))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1) |
(*.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (*.f64 -1 (pow.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) 2)))) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (*.f64 -1 (pow.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) 2)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) 2)) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)))) (+.f64 beta (+.f64 6 (*.f64 2 beta))))) (+.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))))))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) 2)) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)))) (+.f64 beta (+.f64 6 (*.f64 2 beta))))) (+.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))))))) (+.f64 beta (+.f64 6 (*.f64 2 beta))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 3))) (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) 2)) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (*.f64 -1 (pow.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) 2)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) 2)) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)))) (+.f64 beta (+.f64 6 (*.f64 2 beta))))) (+.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))))))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha))))) |
(/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) alpha) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (pow.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) 2)))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)))) |
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(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)) 1) |
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-1 |
(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) 1) |
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-1 |
(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) 1) |
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(/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) |
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1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha))) |
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1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)))) |
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(/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)) |
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(/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) |
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(/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) |
(+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (/.f64 (*.f64 (+.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 -1 (+.f64 2 alpha))) (pow.f64 alpha 3)) (pow.f64 beta 4))) |
(+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 2 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 alpha 3)) (*.f64 -1 (*.f64 (pow.f64 (+.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 -1 (+.f64 2 alpha))) 2) (pow.f64 alpha 3)))) (pow.f64 beta 5))) (/.f64 (*.f64 (+.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 -1 (+.f64 2 alpha))) (pow.f64 alpha 3)) (pow.f64 beta 4)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 2 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (+.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 -1 (+.f64 2 alpha))) (pow.f64 alpha 3))) (pow.f64 beta 6))) (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 3)) (pow.f64 beta 6))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 -1 (+.f64 2 alpha))) 2) (pow.f64 alpha 3))) (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 alpha 3)))) (pow.f64 beta 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 2 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 alpha 3)) (*.f64 -1 (*.f64 (pow.f64 (+.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 -1 (+.f64 2 alpha))) 2) (pow.f64 alpha 3)))) (pow.f64 beta 5))) (/.f64 (*.f64 (+.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 -1 (+.f64 2 alpha))) (pow.f64 alpha 3)) (pow.f64 beta 4))))))) |
(/.f64 (pow.f64 alpha 2) (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3))))) |
alpha |
(+.f64 (*.f64 -1 (+.f64 beta 2)) alpha) |
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) alpha)) |
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 2))) alpha))) |
alpha |
(+.f64 (*.f64 -1 (+.f64 beta 2)) alpha) |
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) alpha)) |
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 2))) alpha))) |
(/.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) |
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 4)))))) |
(/.f64 (pow.f64 alpha 2) beta) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta)))) |
(/.f64 (pow.f64 alpha 2) beta) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta)))) |
(/.f64 alpha (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))) |
1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
(/.f64 alpha (+.f64 2 alpha)) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) |
(/.f64 alpha beta) |
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))) |
(/.f64 alpha beta) |
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))) |
(-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) |
(-.f64 (exp.f64 (log.f64 (+.f64 0 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) 1) |
(-.f64 (/.f64 1 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (/.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 2) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 1) |
(*.f64 1 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) |
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(*.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 2)) (/.f64 1 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(*.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 2))))) |
(*.f64 (+.f64 1 (sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (-.f64 (sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 1)) |
(/.f64 1 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 2)))) |
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 2))) (+.f64 -1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 3)))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 2)) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 2) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(/.f64 (-.f64 -1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 2)))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 2) 1) (-.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) -1)) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 2))) (neg.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 3))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 2))))) |
(pow.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 1) |
(pow.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) 2) |
(pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) 3) |
(pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 2)) |
(log.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) |
(cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 3)) |
(expm1.f64 (log.f64 (+.f64 0 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(exp.f64 (log.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(fma.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) -1) |
(fma.f64 (/.f64 alpha (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1) |
(fma.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) -1) |
(fma.f64 (sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) -1) |
(fma.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) 1) |
(/.f64 alpha (/.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha) (/.f64 alpha (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))) |
(/.f64 alpha (/.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) alpha) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 alpha (*.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) alpha))) |
(/.f64 alpha (*.f64 (/.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha) alpha) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) |
(/.f64 alpha (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha) alpha))) |
(/.f64 alpha (*.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) alpha) (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha))) |
(/.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) alpha)) |
(/.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (*.f64 (-.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha))) |
(/.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) alpha))) |
(/.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha) alpha) (-.f64 alpha (+.f64 beta 2)))) |
(/.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha) alpha) (+.f64 alpha (+.f64 beta 2)))) |
(/.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha) alpha))) |
(/.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 (-.f64 alpha (+.f64 beta 2)) (/.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha) alpha))) |
(/.f64 (/.f64 alpha (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha) alpha)) |
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 alpha (pow.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha) 2)))) |
(/.f64 1 (/.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) |
(/.f64 1 (/.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) alpha) (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) |
(/.f64 1 (*.f64 (/.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha) alpha) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) alpha))) |
(/.f64 1 (*.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) alpha) (/.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha) alpha))) |
(/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha)) |
(/.f64 (*.f64 alpha alpha) (*.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) |
(/.f64 (*.f64 alpha alpha) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha))) |
(/.f64 (/.f64 alpha (pow.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha) 2)) (+.f64 alpha (+.f64 beta 2))) |
(/.f64 (/.f64 alpha (pow.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha) 2)) (-.f64 alpha (+.f64 beta 2))) |
(/.f64 (*.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) alpha) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) |
(/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) alpha) (-.f64 alpha (+.f64 beta 2))) |
(/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) alpha) (neg.f64 (-.f64 alpha (+.f64 beta 2)))) |
(/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1) (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha)) |
(/.f64 (*.f64 -1 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) alpha)) |
(/.f64 (*.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha)) |
(/.f64 (*.f64 alpha (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) |
(/.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha) 2))) (+.f64 alpha (+.f64 beta 2))) |
(/.f64 (/.f64 (/.f64 alpha (pow.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha) 2)) 1) (+.f64 alpha (+.f64 beta 2))) |
(/.f64 (/.f64 (/.f64 alpha (pow.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha) 2)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) |
(/.f64 (/.f64 (/.f64 alpha (pow.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha) 2)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) |
(/.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 alpha (+.f64 beta 2))) (/.f64 -1 alpha)) |
(/.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 1) (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha)) |
(/.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (sqrt.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha))) (sqrt.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha))) |
(/.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha)) 2)) (cbrt.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha))) |
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) |
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 1) |
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 2) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 3) 1/3) |
(neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) |
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 2)) |
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) |
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) 1) |
(-.f64 (/.f64 0 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha)) (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1) |
(*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) alpha) |
(*.f64 1 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (sqrt.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha)))) |
(*.f64 (sqrt.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (cbrt.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (pow.f64 (cbrt.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 2) (cbrt.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (*.f64 alpha alpha) (/.f64 1 (-.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 -1 (-.f64 alpha (+.f64 beta 2))) (/.f64 alpha (/.f64 -1 alpha))) |
(*.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(*.f64 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha)) |
(*.f64 (*.f64 alpha (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (*.f64 alpha (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 alpha 1) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha)) 2)) (/.f64 alpha (cbrt.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha)))) |
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha))) |
(*.f64 (/.f64 (sqrt.f64 alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (sqrt.f64 alpha) (/.f64 -1 alpha))) |
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 alpha (+.f64 beta 2))) (/.f64 (cbrt.f64 alpha) (/.f64 -1 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha)) 2)) (cbrt.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) |
(pow.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1) |
(pow.f64 (sqrt.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 2) |
(pow.f64 (cbrt.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 3) |
(pow.f64 (pow.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3) 1/3) |
(pow.f64 (/.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha) alpha) -1) |
(neg.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(sqrt.f64 (pow.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2)) |
(log.f64 (pow.f64 (exp.f64 alpha) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))) |
(cbrt.f64 (pow.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) |
(cbrt.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha) 3))) |
(expm1.f64 (log1p.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) |
(exp.f64 (log.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) |
(-.f64 0 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 1) |
(-.f64 (/.f64 0 (-.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 alpha (/.f64 -1 (-.f64 alpha (+.f64 beta 2)))) |
(*.f64 alpha (/.f64 1 (-.f64 alpha (+.f64 beta 2)))) |
(*.f64 alpha (neg.f64 (/.f64 1 (-.f64 alpha (+.f64 beta 2))))) |
(*.f64 alpha (/.f64 1 (neg.f64 (-.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) |
(*.f64 (/.f64 alpha (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2))) |
(*.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (-.f64 alpha (+.f64 beta 2))))) |
(*.f64 (cbrt.f64 (/.f64 alpha (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (cbrt.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (neg.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) |
(*.f64 (cbrt.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (cbrt.f64 (/.f64 alpha (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (-.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 -1 (-.f64 alpha (+.f64 beta 2))) alpha) |
(*.f64 (/.f64 1 (-.f64 alpha (+.f64 beta 2))) alpha) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (sqrt.f64 (-.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 alpha (+.f64 beta 2))) 2)) (/.f64 alpha (cbrt.f64 (-.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta -2))) |
(*.f64 (/.f64 alpha (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta -2))))) |
(*.f64 (/.f64 alpha (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (-.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (-.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (-.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (-.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha (+.f64 beta 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (-.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (-.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (-.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 (sqrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (sqrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (cbrt.f64 alpha) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 -1 (sqrt.f64 (-.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (sqrt.f64 (-.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 alpha (+.f64 beta 2))) 2)) (/.f64 alpha (cbrt.f64 (-.f64 alpha (+.f64 beta 2))))) |
(pow.f64 (/.f64 (-.f64 alpha (+.f64 beta 2)) alpha) -1) |
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) |
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 1/3) |
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3) |
(neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) |
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) |
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) |
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (-.f64 alpha (+.f64 beta 2)) 3))) |
(cbrt.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(exp.f64 (-.f64 (log.f64 alpha) (log.f64 (+.f64 alpha (+.f64 beta 2))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
| Outputs |
|---|
-1 |
(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) 1) |
(+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) -1) |
(+.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 4) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 5))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 5))))))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) 1) |
(+.f64 (fma.f64 -1 (*.f64 (pow.f64 alpha 4) (+.f64 (/.f64 4 (pow.f64 (+.f64 beta 2) 5)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 5)))))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) -1) |
(+.f64 -1 (fma.f64 -1 (*.f64 (pow.f64 alpha 4) (+.f64 (/.f64 4 (pow.f64 (+.f64 beta 2) 5)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 5)))))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 6)) (+.f64 (*.f64 6 (/.f64 1 (pow.f64 (+.f64 beta 2) 6))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 5))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 5)))))) (pow.f64 (+.f64 beta 2) 3))) (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 6)))))) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 4) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 5))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 5))))))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1) |
(+.f64 (fma.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 6)) (+.f64 (/.f64 6 (pow.f64 (+.f64 beta 2) 6)) (fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2)))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (+.f64 (/.f64 4 (pow.f64 (+.f64 beta 2) 5)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 5))))))) (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 6)))))) (pow.f64 alpha 5)) (fma.f64 -1 (*.f64 (pow.f64 alpha 4) (+.f64 (/.f64 4 (pow.f64 (+.f64 beta 2) 5)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 5)))))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) -1) |
(+.f64 -1 (fma.f64 -1 (*.f64 (pow.f64 alpha 4) (+.f64 (/.f64 4 (pow.f64 (+.f64 beta 2) 5)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 5)))))) (fma.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 6)) (+.f64 (/.f64 6 (pow.f64 (+.f64 beta 2) 6)) (fma.f64 -1 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 4 (pow.f64 (+.f64 beta 2) 5)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 5)))))) (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 6)))))) (pow.f64 alpha 5)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))) |
(*.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha)) |
(neg.f64 (/.f64 (+.f64 beta (+.f64 6 (*.f64 beta 2))) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (*.f64 -1 (pow.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) 2)))) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha))) |
(fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 (+.f64 4 (*.f64 beta 2)) (+.f64 beta 2) (neg.f64 (pow.f64 (+.f64 beta (+.f64 6 (*.f64 beta 2))) 2)))) (*.f64 alpha alpha)) (neg.f64 (/.f64 (+.f64 beta (+.f64 6 (*.f64 beta 2))) alpha))) |
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-1 |
(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) 1) |
(+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) -1) |
(+.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3))) |
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-1 |
(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) 1) |
(+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) -1) |
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(/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) |
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(fma.f64 -1 (*.f64 (pow.f64 alpha 4) (+.f64 (/.f64 4 (pow.f64 (+.f64 beta 2) 5)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 5)))))) (fma.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 6)) (+.f64 (/.f64 6 (pow.f64 (+.f64 beta 2) 6)) (fma.f64 -1 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 4 (pow.f64 (+.f64 beta 2) 5)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 5)))))) (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 6)))))) (pow.f64 alpha 5)) (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 6)) (*.f64 -1 (+.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 6 (*.f64 beta 2))) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 4 (pow.f64 (+.f64 beta 2) 5)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 5)))))) (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 6)) (+.f64 (/.f64 6 (pow.f64 (+.f64 beta 2) 6)) (fma.f64 -1 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 4 (pow.f64 (+.f64 beta 2) 5)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 5)))))) (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 6)))))))))) (pow.f64 alpha 6)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha))) |
(+.f64 1 (neg.f64 (/.f64 (+.f64 beta (+.f64 6 (*.f64 beta 2))) alpha))) |
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1 |
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(+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 2 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 alpha 3)) (*.f64 -1 (*.f64 (pow.f64 (+.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 -1 (+.f64 2 alpha))) 2) (pow.f64 alpha 3)))) (pow.f64 beta 5))) (/.f64 (*.f64 (+.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 -1 (+.f64 2 alpha))) (pow.f64 alpha 3)) (pow.f64 beta 4)))) |
(+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (fma.f64 (*.f64 3 (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 alpha 3) (neg.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (*.f64 (+.f64 alpha 2) -3) 2)))) (pow.f64 beta 5)) (/.f64 (*.f64 (+.f64 alpha 2) -3) (/.f64 (pow.f64 beta 4) (pow.f64 alpha 3))))) |
(+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (fma.f64 (*.f64 3 (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 alpha 3) (neg.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (*.f64 (+.f64 alpha 2) -3) 2)))) (pow.f64 beta 5)) (*.f64 (/.f64 (*.f64 (+.f64 alpha 2) -3) (pow.f64 beta 4)) (pow.f64 alpha 3)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 2 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (+.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 -1 (+.f64 2 alpha))) (pow.f64 alpha 3))) (pow.f64 beta 6))) (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 3)) (pow.f64 beta 6))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 -1 (+.f64 2 alpha))) 2) (pow.f64 alpha 3))) (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 alpha 3)))) (pow.f64 beta 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 2 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 alpha 3)) (*.f64 -1 (*.f64 (pow.f64 (+.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 -1 (+.f64 2 alpha))) 2) (pow.f64 alpha 3)))) (pow.f64 beta 5))) (/.f64 (*.f64 (+.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 -1 (+.f64 2 alpha))) (pow.f64 alpha 3)) (pow.f64 beta 4))))))) |
(fma.f64 -1 (/.f64 (*.f64 3 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 beta 6) (*.f64 (pow.f64 alpha 3) (*.f64 (+.f64 alpha 2) -3)))) (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (/.f64 (pow.f64 beta 6) (pow.f64 alpha 3))) (fma.f64 -1 (/.f64 (*.f64 (+.f64 alpha 2) -3) (/.f64 (pow.f64 beta 6) (fma.f64 (*.f64 3 (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 alpha 3) (neg.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (*.f64 (+.f64 alpha 2) -3) 2)))))) (fma.f64 -1 (/.f64 (fma.f64 (*.f64 3 (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 alpha 3) (neg.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (*.f64 (+.f64 alpha 2) -3) 2)))) (pow.f64 beta 5)) (/.f64 (*.f64 (+.f64 alpha 2) -3) (/.f64 (pow.f64 beta 4) (pow.f64 alpha 3)))))))) |
(fma.f64 -1 (/.f64 (*.f64 3 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 2) -3))) (/.f64 (pow.f64 beta 6) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3)) (fma.f64 -1 (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 6)) (pow.f64 alpha 3)) (fma.f64 -1 (*.f64 (/.f64 (*.f64 (+.f64 alpha 2) -3) (pow.f64 beta 6)) (fma.f64 (*.f64 3 (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 alpha 3) (neg.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (*.f64 (+.f64 alpha 2) -3) 2))))) (fma.f64 -1 (/.f64 (fma.f64 (*.f64 3 (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 alpha 3) (neg.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (*.f64 (+.f64 alpha 2) -3) 2)))) (pow.f64 beta 5)) (*.f64 (/.f64 (*.f64 (+.f64 alpha 2) -3) (pow.f64 beta 4)) (pow.f64 alpha 3))))))) |
(/.f64 (pow.f64 alpha 2) (+.f64 beta 2)) |
(/.f64 (*.f64 alpha alpha) (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (pow.f64 alpha 2) (+.f64 beta 2))) |
(fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3)))) |
(fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta 2)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3))))) |
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (fma.f64 -1 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3)))) |
alpha |
(+.f64 (*.f64 -1 (+.f64 beta 2)) alpha) |
(-.f64 (-.f64 alpha beta) 2) |
(-.f64 alpha (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) alpha)) |
(fma.f64 -1 (+.f64 beta 2) (+.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (-.f64 alpha (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 2))) alpha))) |
(fma.f64 -1 (+.f64 beta 2) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 alpha alpha)) alpha))) |
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (-.f64 alpha (+.f64 beta 2))) (/.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 3)) (*.f64 alpha alpha))) |
alpha |
(+.f64 (*.f64 -1 (+.f64 beta 2)) alpha) |
(-.f64 (-.f64 alpha beta) 2) |
(-.f64 alpha (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) alpha)) |
(fma.f64 -1 (+.f64 beta 2) (+.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (-.f64 alpha (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 2))) alpha))) |
(fma.f64 -1 (+.f64 beta 2) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 alpha alpha)) alpha))) |
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (-.f64 alpha (+.f64 beta 2))) (/.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 3)) (*.f64 alpha alpha))) |
(/.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) |
(/.f64 (*.f64 alpha alpha) (+.f64 alpha 2)) |
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)))) |
(+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha 2)) (neg.f64 (/.f64 (*.f64 beta (*.f64 alpha alpha)) (pow.f64 (+.f64 alpha 2) 2)))) |
(+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha 2)) (neg.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) (*.f64 alpha alpha)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))))) |
(+.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha 2)) (neg.f64 (/.f64 (*.f64 beta (*.f64 alpha alpha)) (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 (*.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3))) |
(+.f64 (neg.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) (*.f64 alpha alpha))) (+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha 2)) (/.f64 (*.f64 alpha (*.f64 beta (*.f64 alpha beta))) (pow.f64 (+.f64 alpha 2) 3)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 4)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3)) (+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha 2)) (fma.f64 -1 (/.f64 (*.f64 beta (*.f64 alpha alpha)) (pow.f64 (+.f64 alpha 2) 2)) (neg.f64 (/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 (+.f64 alpha 2) 4) (*.f64 alpha alpha))))))) |
(+.f64 (/.f64 (*.f64 alpha (*.f64 beta (*.f64 alpha beta))) (pow.f64 (+.f64 alpha 2) 3)) (+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha 2)) (fma.f64 -1 (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) (*.f64 alpha alpha)) (neg.f64 (*.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4)) (*.f64 alpha alpha)))))) |
(/.f64 (pow.f64 alpha 2) beta) |
(/.f64 (*.f64 alpha alpha) beta) |
(/.f64 alpha (/.f64 beta alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta)) |
(fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 (*.f64 alpha alpha) beta)) |
(fma.f64 -1 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (*.f64 alpha alpha)) (/.f64 alpha (/.f64 beta alpha))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 (*.f64 alpha alpha) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (*.f64 alpha alpha)))) |
(+.f64 (fma.f64 -1 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (*.f64 alpha alpha)) (/.f64 alpha (/.f64 beta alpha))) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) (*.f64 alpha alpha))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta)))) |
(fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (/.f64 (pow.f64 beta 4) (*.f64 alpha alpha))) (+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 (*.f64 alpha alpha) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (*.f64 alpha alpha))))) |
(fma.f64 -1 (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 4)) (*.f64 alpha alpha)) (+.f64 (fma.f64 -1 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (*.f64 alpha alpha)) (/.f64 alpha (/.f64 beta alpha))) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) (*.f64 alpha alpha)))) |
(/.f64 (pow.f64 alpha 2) beta) |
(/.f64 (*.f64 alpha alpha) beta) |
(/.f64 alpha (/.f64 beta alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta)) |
(fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 (*.f64 alpha alpha) beta)) |
(fma.f64 -1 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (*.f64 alpha alpha)) (/.f64 alpha (/.f64 beta alpha))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 (*.f64 alpha alpha) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (*.f64 alpha alpha)))) |
(+.f64 (fma.f64 -1 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (*.f64 alpha alpha)) (/.f64 alpha (/.f64 beta alpha))) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) (*.f64 alpha alpha))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2)) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (pow.f64 beta 2))) (/.f64 (pow.f64 alpha 2) beta)))) |
(fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (/.f64 (pow.f64 beta 4) (*.f64 alpha alpha))) (+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 (*.f64 alpha alpha) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (*.f64 alpha alpha))))) |
(fma.f64 -1 (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 4)) (*.f64 alpha alpha)) (+.f64 (fma.f64 -1 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (*.f64 alpha alpha)) (/.f64 alpha (/.f64 beta alpha))) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) (*.f64 alpha alpha)))) |
(/.f64 alpha (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) |
(fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) |
(fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 alpha (+.f64 beta 2)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (fma.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) |
1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1) |
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (+.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (/.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) |
1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1) |
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (+.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (/.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) |
(/.f64 alpha (+.f64 2 alpha)) |
(/.f64 alpha (+.f64 alpha 2)) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (neg.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)))) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (neg.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) alpha))) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (neg.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3)))) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (neg.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) alpha)) (/.f64 (*.f64 beta (*.f64 alpha beta)) (pow.f64 (+.f64 alpha 2) 3)))) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) |
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(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 1/3) |
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(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) |
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(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) |
(/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) |
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) |
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(cbrt.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (-.f64 alpha (+.f64 beta 2)) 3))) |
(cbrt.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (-.f64 (-.f64 alpha beta) 2) 3))) |
(cbrt.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3))) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(exp.f64 (-.f64 (log.f64 alpha) (log.f64 (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1)) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) |
(/.f64 alpha (+.f64 alpha (+.f64 beta 2))) |
Compiled 107525 to 77685 computations (27.8% saved)
18 alts after pruning (8 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1794 | 4 | 1798 |
| Fresh | 0 | 4 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 10 | 11 |
| Total | 1796 | 18 | 1814 |
| Status | Error | Program |
|---|---|---|
| 31.0b | (/.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3) 2) | |
| ✓ | 47.5b | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
| ✓ | 50.7b | (/.f64 (/.f64 2 alpha) 2) |
| 13.8b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -1 (*.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2) | |
| 47.5b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) 2) | |
| 13.8b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (log.f64 (exp.f64 (+.f64 -1 (*.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))))))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2) | |
| ✓ | 13.7b | (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
| ✓ | 31.0b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| 32.2b | (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) | |
| ✓ | 14.3b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
| ✓ | 15.4b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| 33.0b | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) | |
| ✓ | 58.4b | (/.f64 (*.f64 (/.f64 2 alpha) beta) 2) |
| ✓ | 58.4b | (/.f64 beta alpha) |
| ✓ | 39.8b | (/.f64 2 2) |
| 31.1b | (/.f64 1 2) | |
| ✓ | 42.2b | (+.f64 1 (/.f64 (neg.f64 alpha) beta)) |
| 44.6b | (+.f64 1 (/.f64 -1 beta)) |
Compiled 283 to 214 computations (24.4% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
(+.f64 1 (/.f64 -1 beta)) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(+.f64 1 (/.f64 (neg.f64 alpha) beta)) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (+.f64 (/.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 1 (/.f64 -1/2 (/.f64 beta (+.f64 2 (*.f64 alpha 2))))) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -1 (*.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -1 (*.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2) |
(/.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3) 2) |
(/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (log.f64 (exp.f64 (+.f64 -1 (*.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))))))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (log.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))) 2) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (log.f64 (exp.f64 (+.f64 -1 (*.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))))))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2) |
5 calls:
| 28.0ms | alpha |
| 21.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 16.0ms | beta |
| 9.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 6.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| Error | Segments | Branch |
|---|---|---|
| 2.5b | 2 | alpha |
| 13.7b | 1 | beta |
| 0.0b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.0b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.0b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 570 to 405 computations (28.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.0 | -0.9897931403593203 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
(+.f64 1 (/.f64 -1 beta)) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(+.f64 1 (/.f64 (neg.f64 alpha) beta)) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (+.f64 (/.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 1 (/.f64 -1/2 (/.f64 beta (+.f64 2 (*.f64 alpha 2))))) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -1 (*.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -1 (*.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2) |
(/.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3) 2) |
(/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) 2) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
(/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) 2) |
5 calls:
| 27.0ms | alpha |
| 19.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 15.0ms | beta |
| 9.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 6.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| Error | Segments | Branch |
|---|---|---|
| 2.5b | 2 | alpha |
| 13.7b | 1 | beta |
| 0.0b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.0b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.0b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 406 to 291 computations (28.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.0 | -0.9897931403593203 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
(+.f64 1 (/.f64 -1 beta)) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(+.f64 1 (/.f64 (neg.f64 alpha) beta)) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (+.f64 (/.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 1 (/.f64 -1/2 (/.f64 beta (+.f64 2 (*.f64 alpha 2))))) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -1 (*.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -1 (*.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2) |
(/.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3) 2) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
5 calls:
| 27.0ms | alpha |
| 16.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 16.0ms | beta |
| 8.0ms | (+.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 |
|---|---|---|
| 2.5b | 2 | alpha |
| 13.7b | 1 | beta |
| 0.0b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.0b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.0b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 389 to 279 computations (28.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.0 | -0.9897931403593203 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
(+.f64 1 (/.f64 -1 beta)) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(+.f64 1 (/.f64 (neg.f64 alpha) beta)) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (+.f64 (/.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 1 (/.f64 -1/2 (/.f64 beta (+.f64 2 (*.f64 alpha 2))))) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)) 2) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
5 calls:
| 23.0ms | alpha |
| 15.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 12.0ms | beta |
| 8.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 5.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| Error | Segments | Branch |
|---|---|---|
| 2.5b | 2 | alpha |
| 14.3b | 1 | beta |
| 0.0b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.0b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.0b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 205 to 153 computations (25.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.0 | -0.9897931403593203 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
(+.f64 1 (/.f64 -1 beta)) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(+.f64 1 (/.f64 (neg.f64 alpha) beta)) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (+.f64 (/.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 1 (/.f64 -1/2 (/.f64 beta (+.f64 2 (*.f64 alpha 2))))) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
2 calls:
| 20.0ms | alpha |
| 11.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 3.3b | 2 | alpha |
| 15.4b | 1 | beta |
Compiled 124 to 98 computations (21% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 3.6227396440745693e+56 | 1.759199556286073e+58 |
| 14.0ms | 112× | body | 256 | valid |
Compiled 188 to 155 computations (17.6% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
(+.f64 1 (/.f64 -1 beta)) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(+.f64 1 (/.f64 (neg.f64 alpha) beta)) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 beta alpha) |
(/.f64 (/.f64 2 alpha) 2) |
2 calls:
| 33.0ms | alpha |
| 10.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 5.4b | 4 | alpha |
| 15.4b | 1 | beta |
Compiled 91 to 71 computations (22% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 1.7648999729185696e+300 | 1.2731977572234262e+302 |
| 31.0ms | 7.56944891883477e+275 | 2.580145246052944e+279 |
| 15.0ms | 3.6227396440745693e+56 | 1.759199556286073e+58 |
| 31.0ms | 119× | body | 1024 | valid |
| 25.0ms | 69× | body | 2048 | valid |
| 16.0ms | 132× | body | 256 | valid |
| 5.0ms | 32× | body | 512 | valid |
Compiled 370 to 299 computations (19.2% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
(+.f64 1 (/.f64 -1 beta)) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(+.f64 1 (/.f64 (neg.f64 alpha) beta)) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(+.f64 1 (/.f64 -1 beta)) |
2 calls:
| 41.0ms | alpha |
| 15.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 17.8b | 5 | alpha |
| 16.0b | 2 | beta |
Compiled 73 to 57 computations (21.9% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 0.012992078439665971 | 557131850.0097828 |
| 14.0ms | 121× | body | 256 | valid |
| 6.0ms | 28× | body | 1024 | valid |
| 1.0ms | 9× | body | 512 | valid |
| 1.0ms | 2× | body | 2048 | valid |
Compiled 200 to 175 computations (12.5% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
(+.f64 1 (/.f64 -1 beta)) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(+.f64 1 (/.f64 (neg.f64 alpha) beta)) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (*.f64 (/.f64 2 alpha) beta) 2) |
| Outputs |
|---|
(/.f64 1 2) |
(+.f64 1 (/.f64 -1 beta)) |
2 calls:
| 31.0ms | alpha |
| 12.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 17.8b | 5 | alpha |
| 16.6b | 2 | beta |
Compiled 52 to 39 computations (25% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 0.012992078439665971 | 557131850.0097828 |
| 15.0ms | 125× | body | 256 | valid |
| 5.0ms | 23× | body | 1024 | valid |
| 2.0ms | 11× | body | 512 | valid |
| 0.0ms | 1× | body | 2048 | valid |
Compiled 160 to 145 computations (9.4% saved)
Total -44.9b remaining (-266.5%)
Threshold costs -44.9b (-266.5%)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
| Outputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
2 calls:
| 11.0ms | alpha |
| 7.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 25.3b | 3 | alpha |
| 16.8b | 2 | beta |
Compiled 17 to 13 computations (23.5% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 0.012992078439665971 | 557131850.0097828 |
| 12.0ms | 124× | body | 256 | valid |
| 6.0ms | 27× | body | 1024 | valid |
| 1.0ms | 6× | body | 512 | valid |
| 1.0ms | 3× | body | 2048 | valid |
Compiled 140 to 135 computations (3.6% saved)
| 1× | egg-herbie |
| 64× | +-commutative |
| 32× | *-commutative |
| 30× | sub-neg |
| 22× | neg-mul-1 |
| 22× | neg-sub0 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 4294967950 |
| 1 | 127 | 4294967950 |
| 2 | 152 | 4294967950 |
| 3 | 177 | 4294967946 |
| 4 | 196 | 4294967946 |
| 5 | 205 | 4294967946 |
| 6 | 208 | 4294967946 |
| 7 | 209 | 4294967946 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (log.f64 (exp.f64 (+.f64 -1 (*.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))))))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.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 369999999999999996981327459132394656095770212371651362816) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)) |
(if (<=.f64 alpha 369999999999999996981327459132394656095770212371651362816) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (if (<=.f64 alpha 2500000000000000081955614957155245621426763207553733910658333943602356507993435839819835946681029482634543743954560377046754086692276739239984977753232606302811947010614050164538183180887873991225821372281275751572731503481112089130327371412065011555196964192027137764253161750528) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 alpha 1800000000000000094508568459367956447668043445994686478848537407921244424380034752415468475144806155278667998899190980718496541823648775036160625932616072569127096961667836446728094420830618562106864115822947439901146014270141753584134374937004256490242665819876102317108608205049953496357826920972288) (/.f64 beta alpha) (/.f64 (/.f64 2 alpha) 2)))) |
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (+.f64 1 (/.f64 -1 beta))) |
(if (<=.f64 beta 2) (/.f64 1 2) (+.f64 1 (/.f64 -1 beta))) |
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2)) |
(/.f64 1 2) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (log.f64 (exp.f64 (+.f64 -1 (*.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))))))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (log.f64 (exp.f64 (+.f64 -1 (*.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (/.f64 (/.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 beta alpha))) (+.f64 alpha (+.f64 beta 2))))))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (log.f64 (exp.f64 (-.f64 -1 (*.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (/.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) (+.f64 alpha (+.f64 beta 2))))))) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.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)) -1) (/.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 369999999999999996981327459132394656095770212371651362816) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)) |
(if (<=.f64 alpha 369999999999999996981327459132394656095770212371651362816) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)) |
(if (<=.f64 alpha 369999999999999996981327459132394656095770212371651362816) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (if (<=.f64 alpha 2500000000000000081955614957155245621426763207553733910658333943602356507993435839819835946681029482634543743954560377046754086692276739239984977753232606302811947010614050164538183180887873991225821372281275751572731503481112089130327371412065011555196964192027137764253161750528) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 alpha 1800000000000000094508568459367956447668043445994686478848537407921244424380034752415468475144806155278667998899190980718496541823648775036160625932616072569127096961667836446728094420830618562106864115822947439901146014270141753584134374937004256490242665819876102317108608205049953496357826920972288) (/.f64 beta alpha) (/.f64 (/.f64 2 alpha) 2)))) |
(if (<=.f64 alpha 369999999999999996981327459132394656095770212371651362816) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (if (or (<=.f64 alpha 2500000000000000081955614957155245621426763207553733910658333943602356507993435839819835946681029482634543743954560377046754086692276739239984977753232606302811947010614050164538183180887873991225821372281275751572731503481112089130327371412065011555196964192027137764253161750528) (not (<=.f64 alpha 1800000000000000094508568459367956447668043445994686478848537407921244424380034752415468475144806155278667998899190980718496541823648775036160625932616072569127096961667836446728094420830618562106864115822947439901146014270141753584134374937004256490242665819876102317108608205049953496357826920972288))) (/.f64 (/.f64 2 alpha) 2) (/.f64 beta alpha))) |
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (+.f64 1 (/.f64 -1 beta))) |
(if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (+.f64 1 (/.f64 -1 beta))) |
(if (<=.f64 beta 2) (/.f64 1 2) (+.f64 1 (/.f64 -1 beta))) |
(if (<=.f64 beta 2) 1/2 (+.f64 1 (/.f64 -1 beta))) |
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2)) |
(if (<=.f64 beta 2) 1/2 1) |
(/.f64 1 2) |
1/2 |
Compiled 295 to 216 computations (26.8% saved)
| 4× | egg-herbie |
| 1368× | associate-*r* |
| 1182× | associate-*r* |
| 1162× | *-commutative |
| 1152× | associate-/r* |
| 1054× | *-commutative |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 37 |
| 1 | 25 | 37 |
| 2 | 41 | 37 |
| 3 | 69 | 37 |
| 4 | 117 | 37 |
| 5 | 255 | 33 |
| 6 | 463 | 33 |
| 7 | 845 | 33 |
| 8 | 1720 | 33 |
| 9 | 3940 | 33 |
| 0 | 12 | 37 |
| 1 | 25 | 37 |
| 2 | 41 | 37 |
| 3 | 69 | 37 |
| 4 | 117 | 37 |
| 5 | 255 | 33 |
| 6 | 463 | 33 |
| 7 | 845 | 33 |
| 8 | 1720 | 33 |
| 9 | 3940 | 33 |
| 0 | 826 | 19495 |
| 1 | 2663 | 19401 |
| 0 | 1044 | 24810 |
| 1 | 3345 | 24470 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 911 to 640 computations (29.7% saved)
Compiled 277 to 192 computations (30.7% saved)
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