Time bar (total: 10.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 56.2% | 43.8% | 0% | 0% | 0% | 0 |
| 0% | 0% | 56.2% | 43.8% | 0% | 0% | 0% | 1 |
| 0% | 0% | 56.2% | 43.8% | 0% | 0% | 0% | 2 |
| 25% | 14% | 42.1% | 43.8% | 0% | 0% | 0% | 3 |
| 37.5% | 21.1% | 35.1% | 43.8% | 0% | 0% | 0% | 4 |
| 56.3% | 31.6% | 24.6% | 43.8% | 0% | 0% | 0% | 5 |
| 65.6% | 36.9% | 19.3% | 43.8% | 0% | 0% | 0% | 6 |
| 76.6% | 43% | 13.2% | 43.8% | 0% | 0% | 0% | 7 |
| 82% | 46.1% | 10.1% | 43.8% | 0% | 0% | 0% | 8 |
| 87.9% | 49.4% | 6.8% | 43.8% | 0% | 0% | 0% | 9 |
| 90.8% | 51% | 5.2% | 43.8% | 0% | 0% | 0% | 10 |
| 93.8% | 52.7% | 3.5% | 43.8% | 0% | 0% | 0% | 11 |
| 95.4% | 53.6% | 2.6% | 43.8% | 0% | 0% | 0% | 12 |
Compiled 22 to 16 computations (27.3% saved)
| 836.0ms | 6478× | body | 256 | valid |
| 305.0ms | 1040× | body | 1024 | valid |
| 122.0ms | 638× | body | 512 | valid |
| 93.0ms | 100× | body | 2048 | valid |
| 2× | egg-herbie |
| 1084× | fma-neg |
| 902× | associate-+l- |
| 768× | div-sub |
| 742× | associate--l- |
| 622× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 74 |
| 1 | 41 | 74 |
| 2 | 64 | 74 |
| 3 | 110 | 74 |
| 4 | 200 | 74 |
| 5 | 438 | 66 |
| 6 | 956 | 66 |
| 7 | 2718 | 66 |
| 8 | 5961 | 66 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) 2 4))) |
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2)))) 2) |
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2))) 2) |
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) 2 4))) |
Compiled 17 to 13 computations (23.5% saved)
| 1× | egg-herbie |
| 982× | associate-/l* |
| 722× | fma-def |
| 710× | distribute-lft-in |
| 708× | associate-+l- |
| 618× | associate--l- |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 37 |
| 1 | 25 | 37 |
| 2 | 41 | 37 |
| 3 | 69 | 37 |
| 4 | 117 | 37 |
| 5 | 255 | 33 |
| 6 | 463 | 33 |
| 7 | 845 | 33 |
| 8 | 1720 | 33 |
| 9 | 3940 | 33 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2) |
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) 2 4))) |
(-.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) -2 -4))) |
Compiled 65 to 39 computations (40% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 | 1 | 5 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 5 | 1 | 6 |
| Status | Error | Program |
|---|---|---|
| ▶ | 14.2b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
Compiled 15 to 11 computations (26.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) |
| ✓ | 2.0b | (+.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 | alpha | @ | -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 |
|---|---|---|
| ▶ | 33.5b | (/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2) |
| 47.6b | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) | |
| ▶ | 31.6b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| ✓ | 14.2b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
| ▶ | 14.9b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| 42.7b | (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) | |
| 61.6b | (/.f64 (+.f64 -1 1) 2) | |
| ▶ | 47.6b | (/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2) |
| ▶ | 38.0b | (/.f64 2 2) |
Compiled 219 to 175 computations (20.1% 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 | @ | -inf | (+.f64 (/.f64 beta (+.f64 beta 2)) 1) |
| 0.0ms | beta | @ | inf | (+.f64 (/.f64 beta (+.f64 beta 2)) 1) |
| 1× | batch-egg-rewrite |
| 1986× | add-sqr-sqrt |
| 1962× | *-un-lft-identity |
| 1846× | add-cube-cbrt |
| 1832× | add-cbrt-cube |
| 178× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 1 | 180 | 32 |
| 2 | 2431 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 beta (+.f64 beta 2)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (*.f64 (/.f64 1 (+.f64 beta 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 2)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta 2) beta) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1))))) |
| 1× | egg-herbie |
| 992× | fma-def |
| 832× | times-frac |
| 784× | associate-/l* |
| 770× | unswap-sqr |
| 644× | associate-*r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 197 | 2706 |
| 1 | 481 | 2460 |
| 2 | 1722 | 2280 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 beta) |
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2))) |
(+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))) |
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
1 |
(+.f64 1 (*.f64 1/2 beta)) |
(+.f64 1 (+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(*.f64 beta (/.f64 1 (+.f64 beta 2))) |
(*.f64 beta (*.f64 (/.f64 1 (+.f64 beta 2)) 1)) |
(*.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(*.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2)))) |
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (+.f64 beta 2)) beta) |
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2)) |
(*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))) |
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2))) |
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2) |
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3) |
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1) |
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3) |
(neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2))) |
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) |
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta 2))))) |
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) |
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2)))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) 1) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(*.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(*.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2))))) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 3) |
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1) |
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1) |
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1) |
| Outputs |
|---|
(*.f64 1/2 beta) |
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2))) |
(fma.f64 1/2 beta (*.f64 -1/4 (*.f64 beta beta))) |
(fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/2 beta)) |
(*.f64 beta (+.f64 1/2 (*.f64 beta -1/4))) |
(+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))) |
(fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3)))) |
(fma.f64 1/2 beta (*.f64 (*.f64 beta beta) (+.f64 -1/4 (*.f64 beta 1/8)))) |
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))) |
(fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3))))) |
(fma.f64 1/2 beta (fma.f64 -1/16 (pow.f64 beta 4) (*.f64 (*.f64 beta beta) (+.f64 -1/4 (*.f64 beta 1/8))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 beta))) |
(-.f64 1 (/.f64 2 beta)) |
(+.f64 1 (/.f64 -2 beta)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))) |
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 -2 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))) |
(-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta))) (/.f64 8 (pow.f64 beta 3))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 4 beta) beta) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 beta))) |
(-.f64 1 (/.f64 2 beta)) |
(+.f64 1 (/.f64 -2 beta)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))) |
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 -2 beta))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))) |
(-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta))) (/.f64 8 (pow.f64 beta 3))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 4 beta) beta) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3))))) |
1 |
(+.f64 1 (*.f64 1/2 beta)) |
(+.f64 (*.f64 1/2 beta) 1) |
(fma.f64 1/2 beta 1) |
(+.f64 1 (+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2)))) |
(+.f64 (fma.f64 1/2 beta (*.f64 -1/4 (*.f64 beta beta))) 1) |
(+.f64 (*.f64 beta (*.f64 beta -1/4)) (fma.f64 1/2 beta 1)) |
(fma.f64 1/2 beta (fma.f64 beta (*.f64 beta -1/4) 1)) |
(+.f64 1 (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))) |
(+.f64 (fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3)))) 1) |
(+.f64 (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3))) (fma.f64 1/2 beta 1)) |
(+.f64 (*.f64 beta (+.f64 1/2 (*.f64 beta -1/4))) (fma.f64 1/8 (pow.f64 beta 3) 1)) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 2 (/.f64 -2 beta)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))) |
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 2 (/.f64 -2 beta))) |
(+.f64 2 (+.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 -2 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 2 (-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 (+.f64 2 (/.f64 (/.f64 4 beta) beta)) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3)))) |
2 |
(-.f64 2 (*.f64 2 (/.f64 1 beta))) |
(-.f64 2 (/.f64 2 beta)) |
(+.f64 2 (/.f64 -2 beta)) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta))) |
(+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta))) |
(+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 2 (/.f64 -2 beta))) |
(+.f64 2 (+.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 -2 beta))) |
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 2 (-.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)) (/.f64 8 (pow.f64 beta 3)))) |
(+.f64 (+.f64 2 (/.f64 (/.f64 4 beta) beta)) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3)))) |
(-.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 beta (/.f64 1 (+.f64 beta 2))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 beta (*.f64 (/.f64 1 (+.f64 beta 2)) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (/.f64 1 (+.f64 beta 2)) beta) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2))) |
(/.f64 (neg.f64 beta) (-.f64 -2 beta)) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2)))) |
(/.f64 (/.f64 beta (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2))) |
(/.f64 beta (*.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2)))) |
(/.f64 (/.f64 beta (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) |
(/.f64 beta (*.f64 (cbrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))) |
(*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2)) |
(*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))) |
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))) |
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta beta (+.f64 4 (*.f64 beta -2)))) |
(/.f64 beta (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (fma.f64 beta -2 4)))) |
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2)))) |
(/.f64 (/.f64 beta (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) |
(/.f64 beta (*.f64 (cbrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2)))) |
(/.f64 (/.f64 beta (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2))) |
(/.f64 beta (*.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2)))) |
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))) |
(/.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 beta) 2))) |
(pow.f64 (/.f64 beta (+.f64 beta 2)) 1) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(pow.f64 (/.f64 (+.f64 beta 2) beta) -1) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2))) |
(*.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2))) |
(/.f64 (neg.f64 beta) (-.f64 -2 beta)) |
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta 2))))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (/.f64 beta (+.f64 beta 2)) 0) |
(/.f64 beta (+.f64 beta 2)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) 1) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(*.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2))))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (*.f64 (/.f64 beta (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) 1)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1)) |
(/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (*.f64 (/.f64 beta (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) 1)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1)) |
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (*.f64 (/.f64 beta (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) 1)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1)) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2))))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (*.f64 (/.f64 beta (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) 1)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1)) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (*.f64 (/.f64 beta (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) 1)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (fma.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (+.f64 beta 2)) -1) 1)) |
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) 2) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 3) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3) 1/3) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3)) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))) 1)) |
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2)))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
Compiled 6 to 6 computations (0% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.4b | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
Compiled 29 to 21 computations (27.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | alpha | @ | inf | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | 0 | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | -inf | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 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 | 19 |
| 1 | 180 | 19 |
| 2 | 2431 | 19 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| Outputs |
|---|
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3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))))) |
| 1× | egg-herbie |
| 1656× | associate-/l* |
| 1182× | associate-/r* |
| 1094× | distribute-lft-in |
| 1062× | associate-*r/ |
| 740× | associate-/l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 219 | 5000 |
| 1 | 647 | 4824 |
| 2 | 2504 | 4788 |
| 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 (/.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))))) |
| 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 (fma.f64 -1/2 alpha 1) (*.f64 alpha (*.f64 alpha 1/4))) |
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))) |
(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 1 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha))))) |
(+.f64 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha))) (fma.f64 -1/8 (pow.f64 alpha 3) 1)) |
(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 (fma.f64 -1/2 alpha 1) (*.f64 alpha (*.f64 alpha 1/4)))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha)))) |
(-.f64 (+.f64 (*.f64 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 (/.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 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (/.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 (/.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))) |
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(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (cbrt.f64 (-.f64 1 (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 (/.f64 alpha (+.f64 alpha 2))))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 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 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (/.f64 (cbrt.f64 (+.f64 (+.f64 1 (/.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 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (+.f64 (+.f64 1 (/.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 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (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 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.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 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 (/.f64 alpha (-.f64 -2 alpha)) 3)) (fma.f64 (/.f64 alpha (-.f64 -2 alpha)) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1) 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 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 (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 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 (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 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.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 (/.f64 alpha (-.f64 -2 alpha)))) (/.f64 (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 (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 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (/.f64 (sqrt.f64 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)))) |
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (cbrt.f64 (-.f64 1 (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 (/.f64 alpha (+.f64 alpha 2))))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (/.f64 (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 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (/.f64 (cbrt.f64 (+.f64 (+.f64 1 (/.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 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (+.f64 (+.f64 1 (/.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 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (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 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 alpha (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) (+.f64 alpha 2)))) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4)) (+.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 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 (/.f64 alpha (+.f64 alpha 2)) 6)) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 4)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 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 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6)) (*.f64 (+.f64 (+.f64 1 (/.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)) 6)) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (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 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 3)) (*.f64 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 3)) (*.f64 (+.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)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 3)) (+.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 6))) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(/.f64 (/.f64 (-.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 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 (-.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 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 (-.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 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 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 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 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))))) |
(*.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)))) |
(pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 3) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3) 1/3) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 2)) |
(fabs.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) |
(log.f64 (exp.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3)) |
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) |
(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 alpha (-.f64 -2 alpha))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (neg.f64 beta) (+.f64 2 beta)) |
| ✓ | 0.0b | (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) |
Compiled 44 to 25 computations (43.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) |
| 1.0ms | beta | @ | 0 | (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) |
| 0.0ms | alpha | @ | inf | (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) |
| 0.0ms | beta | @ | inf | (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) |
| 0.0ms | beta | @ | -inf | (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) |
| 1× | batch-egg-rewrite |
| 1670× | associate-/r* |
| 1614× | associate-*l/ |
| 1350× | associate-/l* |
| 1060× | *-commutative |
| 250× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 40 |
| 1 | 233 | 32 |
| 2 | 3557 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) |
(-.f64 (neg.f64 beta) (+.f64 2 beta)) |
| Outputs |
|---|
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egg-rr> (2) ((x pow.f64 (+.f64 beta (+.f64 beta -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 2 (+.f64 beta beta)))))) (#(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 log1p.f64 (expm1.f64 (+.f64 beta (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 beta (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 beta (+.f64 beta -2)))))) |
| 1× | egg-herbie |
| 1150× | +-commutative |
| 732× | associate-+l- |
| 650× | associate--l+ |
| 548× | associate-/l* |
| 510× | associate--r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 399 | 8173 |
| 1 | 1078 | 6619 |
| 2 | 6043 | 6611 |
| 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 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
-2 |
(-.f64 (*.f64 -2 beta) 2) |
(-.f64 (*.f64 -2 beta) 2) |
(-.f64 (*.f64 -2 beta) 2) |
(*.f64 -2 beta) |
(-.f64 (*.f64 -2 beta) 2) |
(-.f64 (*.f64 -2 beta) 2) |
(-.f64 (*.f64 -2 beta) 2) |
(*.f64 -2 beta) |
(-.f64 (*.f64 -2 beta) 2) |
(-.f64 (*.f64 -2 beta) 2) |
(-.f64 (*.f64 -2 beta) 2) |
(+.f64 (/.f64 beta alpha) (neg.f64 (/.f64 (+.f64 beta 2) alpha))) |
(+.f64 (neg.f64 (/.f64 (+.f64 beta 2) alpha)) (/.f64 beta alpha)) |
(+.f64 (-.f64 (/.f64 (+.f64 beta -2) alpha) (/.f64 0 alpha)) (/.f64 beta alpha)) |
(-.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta 2) alpha)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) 1) |
(-.f64 (/.f64 0 alpha) (+.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta 2) alpha))) |
(-.f64 (/.f64 0 alpha) (-.f64 (/.f64 beta alpha) (neg.f64 (/.f64 (+.f64 beta 2) alpha)))) |
(-.f64 (/.f64 (+.f64 beta -2) alpha) (/.f64 beta alpha)) |
(*.f64 (+.f64 beta (+.f64 beta -2)) (/.f64 1 alpha)) |
(*.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 1) |
(*.f64 1 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) |
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (/.f64 1 alpha))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (*.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) (/.f64 1 alpha))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) |
(*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 -1 alpha)) |
(*.f64 (/.f64 1 alpha) (+.f64 beta (+.f64 beta -2))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (/.f64 1 alpha)) (sqrt.f64 (+.f64 beta (+.f64 beta -2)))) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) (/.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2)) |
(*.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha))) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta (+.f64 beta -2)) (sqrt.f64 alpha))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta (+.f64 beta -2)) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (/.f64 -1 alpha) (+.f64 2 (+.f64 beta beta))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) 1) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) alpha)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) alpha) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) 1)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (cbrt.f64 alpha))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) alpha)) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) alpha) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) (sqrt.f64 alpha))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) (sqrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (sqrt.f64 alpha))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) |
(pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 3) 1/3) |
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 beta -2))) -1) |
(neg.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) (neg.f64 alpha))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) |
(exp.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) |
(+.f64 beta (+.f64 beta -2)) |
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)))) |
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))) |
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)))) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2))) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)) (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)))) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)) (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)))) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)) (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)))) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)))) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)))) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)))) |
(+.f64 (+.f64 beta -2) beta) |
(+.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)))) |
(+.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))) |
(+.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)))) |
(+.f64 0 (+.f64 beta (+.f64 beta -2))) |
(+.f64 (+.f64 beta beta) -2) |
(+.f64 -2 (+.f64 beta beta)) |
(+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)) (+.f64 beta (+.f64 beta -2))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)) (+.f64 beta (+.f64 beta -2))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)) (+.f64 beta (+.f64 beta -2))) |
(+.f64 (+.f64 (+.f64 beta -2) 0) beta) |
(+.f64 (-.f64 (+.f64 beta -2) 0) beta) |
(+.f64 (-.f64 beta (exp.f64 (log.f64 (+.f64 3 beta)))) 1) |
(+.f64 (-.f64 beta (/.f64 4 (+.f64 beta 2))) (/.f64 (*.f64 beta beta) (+.f64 beta 2))) |
(+.f64 (-.f64 (+.f64 beta -2) (exp.f64 (log1p.f64 beta))) 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 (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 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (+.f64 2 (+.f64 beta beta)))) |
(*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))))) |
(*.f64 (+.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2))) (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2))) (+.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (+.f64 2 (+.f64 beta beta))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) |
(*.f64 (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) |
(/.f64 (+.f64 beta (+.f64 beta -2)) 1) |
(/.f64 1 (/.f64 -1 (+.f64 2 (+.f64 beta beta)))) |
(/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 beta -2))))) |
(/.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 beta -2))))) |
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (+.f64 2 (+.f64 beta beta))) |
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (/.f64 1 (+.f64 2 (+.f64 beta beta))))) |
(/.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 (+.f64 2 (+.f64 beta beta)) (+.f64 beta (+.f64 beta -2)))) |
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))) |
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))))) |
(/.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))) (+.f64 beta (+.f64 beta -2)))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 2 (+.f64 beta beta)) (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))) (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (+.f64 2 (+.f64 beta beta)) (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))) (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta (+.f64 beta -2))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))))) |
(/.f64 (+.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2))) (/.f64 1 (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))) |
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 beta -2) (+.f64 beta -2))) (+.f64 2 (+.f64 beta beta))) |
(/.f64 (-.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (*.f64 beta beta)) (+.f64 beta (+.f64 beta -2))) |
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (+.f64 (*.f64 beta beta) (-.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (*.f64 beta (+.f64 beta -2))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 beta -2) 3) (pow.f64 beta 3)) (+.f64 (+.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (*.f64 beta beta)) (*.f64 beta (+.f64 beta -2)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) 1) (+.f64 beta (+.f64 beta -2))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) 1) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 beta -2) (+.f64 beta -2))) 1) (+.f64 2 (+.f64 beta beta))) |
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (*.f64 beta beta)) 1) (+.f64 beta (+.f64 beta -2))) |
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) 1) (+.f64 (*.f64 beta beta) (-.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (*.f64 beta (+.f64 beta -2))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta -2) 3) (pow.f64 beta 3)) 1) (+.f64 (+.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (*.f64 beta beta)) (*.f64 beta (+.f64 beta -2)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (+.f64 beta (+.f64 beta -2)))) (sqrt.f64 (+.f64 2 (+.f64 beta beta)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (sqrt.f64 (+.f64 beta (+.f64 beta -2)))) (sqrt.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2)) (cbrt.f64 (+.f64 2 (+.f64 beta beta)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2)) (cbrt.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 2 (+.f64 beta beta)))) (+.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3)) (/.f64 1 (+.f64 2 (+.f64 beta beta)))) (+.f64 (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (*.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 beta 3) 3) (pow.f64 (pow.f64 (+.f64 beta 2) 3) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))))) (+.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 beta 2) 3)) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))) |
(/.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) 1) (+.f64 2 (+.f64 beta beta))) |
(/.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (sqrt.f64 (+.f64 beta (+.f64 beta -2)))) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))))) |
(/.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2)) (neg.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))))) |
(/.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) -1) (+.f64 beta (+.f64 beta -2))) |
(/.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (sqrt.f64 (+.f64 2 (+.f64 beta beta)))) (sqrt.f64 (+.f64 2 (+.f64 beta beta)))) |
(/.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) (cbrt.f64 (+.f64 2 (+.f64 beta beta))))) (cbrt.f64 (+.f64 2 (+.f64 beta beta)))) |
(/.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))))) (sqrt.f64 (+.f64 beta (+.f64 beta -2)))) |
(/.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2))) (cbrt.f64 (+.f64 beta (+.f64 beta -2)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) 1) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (sqrt.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))))) (sqrt.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (*.f64 (cbrt.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))) (cbrt.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))))) (cbrt.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))))) |
(/.f64 (/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) 1) (+.f64 beta (+.f64 beta -2))) |
(/.f64 (/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (+.f64 beta (+.f64 beta -2)))) (sqrt.f64 (+.f64 beta (+.f64 beta -2)))) |
(/.f64 (/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (cbrt.f64 (+.f64 beta (+.f64 beta -2)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2)) |
(/.f64 (/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2)) (cbrt.f64 (+.f64 beta (+.f64 beta -2)))) |
(/.f64 (/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 2 (+.f64 beta beta)))) |
(/.f64 (/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))))) |
(/.f64 (/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) |
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (*.f64 beta beta)) 1) (+.f64 beta (+.f64 beta -2))) |
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (*.f64 beta beta)) (sqrt.f64 (+.f64 beta (+.f64 beta -2)))) (sqrt.f64 (+.f64 beta (+.f64 beta -2)))) |
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (*.f64 beta beta)) (cbrt.f64 (+.f64 beta (+.f64 beta -2)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2)) |
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (*.f64 beta beta)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2)) (cbrt.f64 (+.f64 beta (+.f64 beta -2)))) |
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (*.f64 beta beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 2 (+.f64 beta beta)))) |
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (*.f64 beta beta)) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (*.f64 beta beta)) (+.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) |
(pow.f64 (+.f64 beta (+.f64 beta -2)) 1) |
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) 2) |
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 3) |
(pow.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 3) 1/3) |
(neg.f64 (+.f64 2 (+.f64 beta beta))) |
(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)))) |
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 beta -2)))) |
(fma.f64 1 beta (+.f64 beta -2)) |
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta -2)) |
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta -2)) |
(fma.f64 -1 beta (+.f64 beta -2)) |
| Outputs |
|---|
(/.f64 -2 alpha) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.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))) |
(-.f64 (*.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))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -2 (/.f64 beta alpha)) |
(/.f64 beta (/.f64 alpha -2)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.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))) |
(-.f64 (*.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))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -2 (/.f64 beta alpha)) |
(/.f64 beta (/.f64 alpha -2)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (*.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))) |
(-.f64 (*.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))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
-2 |
(-.f64 (*.f64 -2 beta) 2) |
(fma.f64 -2 beta -2) |
(-.f64 (*.f64 -2 beta) 2) |
(fma.f64 -2 beta -2) |
(-.f64 (*.f64 -2 beta) 2) |
(fma.f64 -2 beta -2) |
(*.f64 -2 beta) |
(-.f64 (*.f64 -2 beta) 2) |
(fma.f64 -2 beta -2) |
(-.f64 (*.f64 -2 beta) 2) |
(fma.f64 -2 beta -2) |
(-.f64 (*.f64 -2 beta) 2) |
(fma.f64 -2 beta -2) |
(*.f64 -2 beta) |
(-.f64 (*.f64 -2 beta) 2) |
(fma.f64 -2 beta -2) |
(-.f64 (*.f64 -2 beta) 2) |
(fma.f64 -2 beta -2) |
(-.f64 (*.f64 -2 beta) 2) |
(fma.f64 -2 beta -2) |
(+.f64 (/.f64 beta alpha) (neg.f64 (/.f64 (+.f64 beta 2) alpha))) |
(-.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) |
(+.f64 (neg.f64 (/.f64 (+.f64 beta 2) alpha)) (/.f64 beta alpha)) |
(-.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) |
(+.f64 (-.f64 (/.f64 (+.f64 beta -2) alpha) (/.f64 0 alpha)) (/.f64 beta alpha)) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(-.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta 2) alpha)) |
(+.f64 (/.f64 beta alpha) (/.f64 (-.f64 -2 beta) alpha)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) 1) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(-.f64 (/.f64 0 alpha) (+.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta 2) alpha))) |
(-.f64 0 (+.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta 2) alpha))) |
(-.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha) (/.f64 beta alpha)) |
(-.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta alpha)) |
(-.f64 (/.f64 0 alpha) (-.f64 (/.f64 beta alpha) (neg.f64 (/.f64 (+.f64 beta 2) alpha)))) |
(-.f64 0 (+.f64 (/.f64 beta alpha) (/.f64 (+.f64 beta 2) alpha))) |
(-.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha) (/.f64 beta alpha)) |
(-.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta alpha)) |
(-.f64 (/.f64 (+.f64 beta -2) alpha) (/.f64 beta alpha)) |
(-.f64 (/.f64 (+.f64 -2 beta) alpha) (/.f64 beta alpha)) |
(*.f64 (+.f64 beta (+.f64 beta -2)) (/.f64 1 alpha)) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(*.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 1) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(*.f64 1 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (*.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) (/.f64 1 alpha))) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 2)) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 -2 (+.f64 beta beta)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (+.f64 beta beta))) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 -2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 -2)) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 -1 alpha)) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 (/.f64 1 alpha) (+.f64 beta (+.f64 beta -2))) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (/.f64 1 alpha)) (sqrt.f64 (+.f64 beta (+.f64 beta -2)))) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(*.f64 (*.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) (/.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2)) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(*.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha))) |
(*.f64 (/.f64 (+.f64 -2 (+.f64 beta beta)) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha))) |
(/.f64 (/.f64 (fma.f64 beta 2 -2) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta (+.f64 beta -2)) (sqrt.f64 alpha))) |
(*.f64 (/.f64 (+.f64 -2 (+.f64 beta beta)) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha))) |
(/.f64 (/.f64 (fma.f64 beta 2 -2) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta (+.f64 beta -2)) (cbrt.f64 alpha))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 -2 (+.f64 beta beta)) (cbrt.f64 alpha))) |
(/.f64 (/.f64 (fma.f64 beta 2 -2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(*.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 -2 (+.f64 beta beta)) (cbrt.f64 alpha))) |
(/.f64 (/.f64 (fma.f64 beta 2 -2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(*.f64 (/.f64 -1 alpha) (+.f64 2 (+.f64 beta beta))) |
(-.f64 (*.f64 -2 (/.f64 beta alpha)) (/.f64 2 alpha)) |
(/.f64 (fma.f64 -2 beta -2) alpha) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) 1) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) alpha)) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) alpha) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) 1)) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (cbrt.f64 alpha))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 -2 (+.f64 beta beta)) (cbrt.f64 alpha))) |
(/.f64 (/.f64 (fma.f64 beta 2 -2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 -2 (+.f64 beta beta)) (cbrt.f64 alpha))) |
(/.f64 (/.f64 (fma.f64 beta 2 -2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) alpha)) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) alpha) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) 1)) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) (sqrt.f64 alpha))) |
(*.f64 (/.f64 (+.f64 -2 (+.f64 beta beta)) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha))) |
(/.f64 (/.f64 (fma.f64 beta 2 -2) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) (sqrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (sqrt.f64 alpha))) |
(*.f64 (/.f64 (+.f64 -2 (+.f64 beta beta)) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha))) |
(/.f64 (/.f64 (fma.f64 beta 2 -2) (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 -2 (+.f64 beta beta)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (+.f64 beta beta))) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 beta 2 -2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 -2)) 2) (pow.f64 (cbrt.f64 alpha) 2))) |
(pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 1) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 2) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 3) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(pow.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 3) 1/3) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 beta -2))) -1) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(neg.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) (neg.f64 alpha))) |
(/.f64 (neg.f64 (+.f64 -2 (+.f64 beta beta))) (neg.f64 alpha)) |
(/.f64 (+.f64 2 (*.f64 -2 beta)) (neg.f64 alpha)) |
(/.f64 (-.f64 2 (+.f64 beta beta)) (neg.f64 alpha)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -2 (+.f64 beta beta)) alpha) 2)) |
(fabs.f64 (/.f64 (fma.f64 beta 2 -2) alpha)) |
(log.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)))) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 3)) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(exp.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) |
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 -2 beta) alpha) 0)) |
(/.f64 (fma.f64 beta 2 -2) alpha) |
(+.f64 beta (+.f64 beta -2)) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)))) |
(+.f64 (+.f64 -2 beta) (+.f64 beta (fma.f64 (+.f64 -2 beta) 1 (+.f64 beta 2)))) |
(+.f64 (fma.f64 beta 2 -2) (+.f64 (fma.f64 beta 2 -2) 2)) |
(+.f64 (fma.f64 beta 2 -2) (+.f64 2 (fma.f64 beta 2 -2))) |
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))) |
(+.f64 (+.f64 -2 (+.f64 beta beta)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))) |
(+.f64 (fma.f64 beta 2 -2) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))) |
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)))) |
(+.f64 (+.f64 -2 (+.f64 beta beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))) |
(+.f64 (fma.f64 beta 2 -2) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2))) |
(+.f64 (+.f64 -2 beta) (+.f64 beta (fma.f64 (+.f64 -2 beta) 1 (+.f64 beta 2)))) |
(+.f64 (fma.f64 beta 2 -2) (+.f64 (fma.f64 beta 2 -2) 2)) |
(+.f64 (fma.f64 beta 2 -2) (+.f64 2 (fma.f64 beta 2 -2))) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))) |
(+.f64 (+.f64 -2 (+.f64 beta beta)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))) |
(+.f64 (fma.f64 beta 2 -2) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))) |
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(+.f64 (+.f64 -2 (+.f64 beta beta)) (*.f64 2 (fma.f64 (+.f64 -2 beta) 1 (+.f64 beta 2)))) |
(fma.f64 2 (+.f64 (fma.f64 beta 2 -2) 2) (fma.f64 beta 2 -2)) |
(fma.f64 2 (+.f64 2 (fma.f64 beta 2 -2)) (fma.f64 beta 2 -2)) |
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(fma.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)) (fma.f64 beta 2 -2)) |
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))) |
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(+.f64 (fma.f64 beta 2 -2) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)))) |
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(+.f64 (fma.f64 beta 2 -2) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)))) |
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(fma.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)) (fma.f64 beta 2 -2)) |
(+.f64 (+.f64 beta -2) beta) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(+.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)))) |
(+.f64 (+.f64 -2 beta) (+.f64 beta (fma.f64 (+.f64 -2 beta) 1 (+.f64 beta 2)))) |
(+.f64 (fma.f64 beta 2 -2) (+.f64 (fma.f64 beta 2 -2) 2)) |
(+.f64 (fma.f64 beta 2 -2) (+.f64 2 (fma.f64 beta 2 -2))) |
(+.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))) |
(+.f64 (+.f64 -2 (+.f64 beta beta)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))) |
(+.f64 (fma.f64 beta 2 -2) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))) |
(+.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)))) |
(+.f64 (+.f64 -2 (+.f64 beta beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))) |
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(+.f64 0 (+.f64 beta (+.f64 beta -2))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(+.f64 (+.f64 beta beta) -2) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)) (+.f64 beta (+.f64 beta -2))) |
(+.f64 (+.f64 -2 beta) (+.f64 beta (fma.f64 (+.f64 -2 beta) 1 (+.f64 beta 2)))) |
(+.f64 (fma.f64 beta 2 -2) (+.f64 (fma.f64 beta 2 -2) 2)) |
(+.f64 (fma.f64 beta 2 -2) (+.f64 2 (fma.f64 beta 2 -2))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)) (+.f64 beta (+.f64 beta -2))) |
(+.f64 (+.f64 -2 (+.f64 beta beta)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))) |
(+.f64 (fma.f64 beta 2 -2) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)) (+.f64 beta (+.f64 beta -2))) |
(+.f64 (+.f64 -2 (+.f64 beta beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))) |
(+.f64 (fma.f64 beta 2 -2) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))) |
(+.f64 (+.f64 (+.f64 beta -2) 0) beta) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(+.f64 (-.f64 (+.f64 beta -2) 0) beta) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(+.f64 (-.f64 beta (exp.f64 (log.f64 (+.f64 3 beta)))) 1) |
(+.f64 1 (-.f64 beta (+.f64 beta 3))) |
(-.f64 beta (+.f64 beta 2)) |
(+.f64 beta (-.f64 -2 beta)) |
(+.f64 (-.f64 beta (/.f64 4 (+.f64 beta 2))) (/.f64 (*.f64 beta beta) (+.f64 beta 2))) |
(+.f64 beta (+.f64 (/.f64 -4 (+.f64 beta 2)) (*.f64 (/.f64 beta (+.f64 beta 2)) beta))) |
(+.f64 beta (+.f64 (*.f64 (/.f64 beta (+.f64 beta 2)) beta) (/.f64 -4 (+.f64 beta 2)))) |
(+.f64 (-.f64 (+.f64 beta -2) (exp.f64 (log1p.f64 beta))) 1) |
(+.f64 1 (+.f64 beta (-.f64 -2 (exp.f64 (log1p.f64 beta))))) |
(-.f64 (+.f64 -2 beta) (expm1.f64 (log1p.f64 beta))) |
(*.f64 (+.f64 beta (+.f64 beta -2)) 1) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(*.f64 1 (+.f64 beta (+.f64 beta -2))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (sqrt.f64 (+.f64 beta (+.f64 beta -2)))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(*.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2)) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (cbrt.f64 (+.f64 beta (+.f64 beta -2)))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (+.f64 2 (+.f64 beta beta)))) |
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (+.f64 2 (+.f64 beta beta))) |
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 beta 2 2)) |
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(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))) |
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (fma.f64 beta 2 2)))) |
(*.f64 (+.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2))) (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2))) (+.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 1 (+.f64 2 (+.f64 beta beta))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) |
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (+.f64 2 (+.f64 beta beta))) |
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 beta 2 2)) |
(*.f64 (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) |
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))) |
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (fma.f64 beta 2 2)))) |
(/.f64 (+.f64 beta (+.f64 beta -2)) 1) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(/.f64 1 (/.f64 -1 (+.f64 2 (+.f64 beta beta)))) |
(fma.f64 -2 beta -2) |
(/.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 beta -2))))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(/.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 beta -2))))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (+.f64 2 (+.f64 beta beta))) |
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 beta 2 2)) |
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(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (+.f64 2 (+.f64 beta beta))) |
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 beta 2 2)) |
(/.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 (+.f64 2 (+.f64 beta beta)) (+.f64 beta (+.f64 beta -2)))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))) |
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (fma.f64 beta 2 2)))) |
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))))) |
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))) |
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (fma.f64 beta 2 2)))) |
(/.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))) (+.f64 beta (+.f64 beta -2)))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 2 (+.f64 beta beta)) (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (+.f64 2 (+.f64 beta beta))) (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)))) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 beta 2 2))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))) (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))) (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) |
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(/.f64 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (*.f64 (cbrt.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))) (cbrt.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))))) (cbrt.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))))) |
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))) |
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (fma.f64 beta 2 2)))) |
(/.f64 (/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) 1) (+.f64 beta (+.f64 beta -2))) |
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (+.f64 -2 (+.f64 beta beta))) |
(/.f64 (+.f64 (*.f64 beta (neg.f64 beta)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 beta 2 -2)) |
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (neg.f64 beta))) (fma.f64 beta 2 -2)) |
(/.f64 (/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (+.f64 beta (+.f64 beta -2)))) (sqrt.f64 (+.f64 beta (+.f64 beta -2)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (+.f64 -2 (+.f64 beta beta))) |
(/.f64 (+.f64 (*.f64 beta (neg.f64 beta)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 beta 2 -2)) |
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (neg.f64 beta))) (fma.f64 beta 2 -2)) |
(/.f64 (/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (cbrt.f64 (+.f64 beta (+.f64 beta -2)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2)) |
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (+.f64 -2 (+.f64 beta beta))) |
(/.f64 (+.f64 (*.f64 beta (neg.f64 beta)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 beta 2 -2)) |
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (neg.f64 beta))) (fma.f64 beta 2 -2)) |
(/.f64 (/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2)) (cbrt.f64 (+.f64 beta (+.f64 beta -2)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (+.f64 -2 (+.f64 beta beta))) |
(/.f64 (+.f64 (*.f64 beta (neg.f64 beta)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 beta 2 -2)) |
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (neg.f64 beta))) (fma.f64 beta 2 -2)) |
(/.f64 (/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 2 (+.f64 beta beta)))) |
(fma.f64 -2 beta -2) |
(/.f64 (/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))))) |
(*.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (fma.f64 beta 2 2))) (/.f64 (+.f64 (*.f64 beta (neg.f64 beta)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) |
(*.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (fma.f64 beta 2 2))) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (neg.f64 beta))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) |
(/.f64 (/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))) |
(/.f64 (+.f64 (*.f64 beta (neg.f64 beta)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (neg.f64 beta))) (*.f64 (+.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (*.f64 beta beta)) 1) (+.f64 beta (+.f64 beta -2))) |
(/.f64 (*.f64 (+.f64 -2 (+.f64 beta beta)) (-.f64 (+.f64 -2 beta) beta)) (+.f64 -2 (+.f64 beta beta))) |
(*.f64 (fma.f64 beta 2 -2) (/.f64 (+.f64 beta (-.f64 -2 beta)) (fma.f64 beta 2 -2))) |
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (*.f64 beta beta)) (sqrt.f64 (+.f64 beta (+.f64 beta -2)))) (sqrt.f64 (+.f64 beta (+.f64 beta -2)))) |
(/.f64 (*.f64 (+.f64 -2 (+.f64 beta beta)) (-.f64 (+.f64 -2 beta) beta)) (+.f64 -2 (+.f64 beta beta))) |
(*.f64 (fma.f64 beta 2 -2) (/.f64 (+.f64 beta (-.f64 -2 beta)) (fma.f64 beta 2 -2))) |
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (*.f64 beta beta)) (cbrt.f64 (+.f64 beta (+.f64 beta -2)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2)) |
(/.f64 (*.f64 (+.f64 -2 (+.f64 beta beta)) (-.f64 (+.f64 -2 beta) beta)) (+.f64 -2 (+.f64 beta beta))) |
(*.f64 (fma.f64 beta 2 -2) (/.f64 (+.f64 beta (-.f64 -2 beta)) (fma.f64 beta 2 -2))) |
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (*.f64 beta beta)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 2)) (cbrt.f64 (+.f64 beta (+.f64 beta -2)))) |
(/.f64 (*.f64 (+.f64 -2 (+.f64 beta beta)) (-.f64 (+.f64 -2 beta) beta)) (+.f64 -2 (+.f64 beta beta))) |
(*.f64 (fma.f64 beta 2 -2) (/.f64 (+.f64 beta (-.f64 -2 beta)) (fma.f64 beta 2 -2))) |
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (*.f64 beta beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 2 (+.f64 beta beta)))) |
(/.f64 (*.f64 (+.f64 -2 (+.f64 beta beta)) (-.f64 (+.f64 -2 beta) beta)) (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (+.f64 2 (+.f64 beta beta)))) |
(*.f64 (fma.f64 beta 2 2) (/.f64 (*.f64 (fma.f64 beta 2 -2) (+.f64 beta (-.f64 -2 beta))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)))) |
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (*.f64 beta beta)) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))))) |
(/.f64 (*.f64 (+.f64 -2 (+.f64 beta beta)) (-.f64 (+.f64 -2 beta) beta)) (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))))) |
(*.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (fma.f64 beta 2 2))) (/.f64 (*.f64 (fma.f64 beta 2 -2) (+.f64 beta (-.f64 -2 beta))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) |
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (*.f64 beta beta)) (+.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) |
(/.f64 (/.f64 (*.f64 (+.f64 -2 (+.f64 beta beta)) (-.f64 (+.f64 -2 beta) beta)) (+.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 beta))) (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2)))) |
(*.f64 (/.f64 (fma.f64 beta 2 -2) (+.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 beta))) (/.f64 (+.f64 beta (-.f64 -2 beta)) (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))) |
(pow.f64 (+.f64 beta (+.f64 beta -2)) 1) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) 2) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 3) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(pow.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 3) 1/3) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(neg.f64 (+.f64 2 (+.f64 beta beta))) |
(fma.f64 -2 beta -2) |
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 2)) |
(sqrt.f64 (pow.f64 (+.f64 -2 (+.f64 beta beta)) 2)) |
(fabs.f64 (fma.f64 beta 2 -2)) |
(log.f64 (exp.f64 (+.f64 beta (+.f64 beta -2)))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 beta -2))))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 3)) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 beta -2)))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(exp.f64 (log.f64 (+.f64 beta (+.f64 beta -2)))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 beta -2)))) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(fma.f64 1 beta (+.f64 beta -2)) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta -2)) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta -2)) |
(+.f64 -2 (+.f64 beta beta)) |
(fma.f64 beta 2 -2) |
(fma.f64 -1 beta (+.f64 beta -2)) |
(+.f64 1 (-.f64 beta (+.f64 beta 3))) |
(-.f64 beta (+.f64 beta 2)) |
(+.f64 beta (-.f64 -2 beta)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
| ✓ | 0.0b | (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) |
| ✓ | 2.5b | (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
| ✓ | 4.4b | (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) |
Compiled 113 to 66 computations (41.6% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | inf | (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) |
| 1.0ms | alpha | @ | -inf | (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) |
| 1.0ms | beta | @ | 0 | (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) |
| 1.0ms | beta | @ | inf | (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) |
| 1.0ms | alpha | @ | 0 | (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) |
| 1× | batch-egg-rewrite |
| 1776× | associate-/l* |
| 1196× | associate-/r/ |
| 386× | +-commutative |
| 334× | add-sqr-sqrt |
| 326× | *-un-lft-identity |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 124 |
| 1 | 314 | 124 |
| 2 | 4705 | 124 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.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))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))) (-.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)) (-.f64 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))) 4)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))))) (-.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 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| 1× | egg-herbie |
| 1628× | associate-*r* |
| 1542× | associate-*l* |
| 1262× | +-commutative |
| 784× | associate-+r+ |
| 660× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1233 | 35079 |
| 1 | 4176 | 34263 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha)))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha)))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) alpha) (+.f64 2 alpha))) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(/.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 -2 alpha)) beta) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 4 (/.f64 1 beta)))) (*.f64 -2 (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 4 (/.f64 1 beta)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -2 (*.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (+.f64 2 alpha)))) (pow.f64 beta 3)))))) (*.f64 -2 (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 4 (/.f64 1 beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -2 (*.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (+.f64 2 alpha)))) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)))) (pow.f64 beta 4))))))) (*.f64 -2 (/.f64 alpha beta))) |
(*.f64 -2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) |
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(-.f64 1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 beta 2)))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 beta 2))) (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (+.f64 beta 2))) (*.f64 -2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 2)))) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 beta 2))) (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)))))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) |
(*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)))) |
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(*.f64 -2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 3)) (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)))))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))) (+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (*.f64 -2 (*.f64 (pow.f64 (+.f64 beta 2) 3) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) (pow.f64 alpha 4))) (+.f64 (/.f64 (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 3)) (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))))))) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) |
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(+.f64 1 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)))))))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))))) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))))) |
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
(-.f64 (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 beta 4))))))) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4))))) |
(-.f64 1 (/.f64 beta (+.f64 beta 2))) |
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha))) (/.f64 beta (+.f64 beta 2))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))))) (/.f64 beta (+.f64 beta 2))) |
2 |
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))) |
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) |
2 |
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 beta 2) (*.f64 -1 beta)) alpha))) |
(+.f64 2 (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 beta 2) (*.f64 -1 beta)) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) |
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 beta 2) (*.f64 -1 beta)) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) |
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) |
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha)))) |
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(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha))) (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) alpha) (+.f64 2 alpha))) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))) (*.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha)))))))) |
1 |
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 4 (/.f64 1 beta)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)))))) (+.f64 (*.f64 4 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 3)))))))) (+.f64 (*.f64 4 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)))))) |
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(/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 beta 2))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 beta 2))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 beta 2))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (+.f64 beta 2))) (*.f64 -2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 2)))) (pow.f64 alpha 3)) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))))) |
1 |
(+.f64 (*.f64 -2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) 1) |
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1 |
(+.f64 1 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2))))) |
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(*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(/.f64 beta (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))) |
-1 |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2)))) 1) |
(+.f64 1 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) |
(+.f64 1 (*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1)) |
(+.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1) |
(+.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1) 1) |
(+.f64 (-.f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 1) |
(*.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1) |
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) |
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))))) |
(*.f64 (/.f64 1 (+.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))) 4))) |
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))) (-.f64 1 (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))) 4)) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))) (-.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)) (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))) 6)) (-.f64 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))) 4)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))))) (-.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)) (+.f64 1 (pow.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))) 4)) 3))) (+.f64 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))) 4)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))))) |
(/.f64 1 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)) (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))) (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))) (/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)))) (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)))) (/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))))) |
(/.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) |
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))) (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))))) |
(pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1) |
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 2) |
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 3) |
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 2)) |
(log.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) |
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(/.f64 -1 (/.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))) (-.f64 beta alpha))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 beta alpha))) (/.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))) (sqrt.f64 (-.f64 beta alpha)))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))) (cbrt.f64 (-.f64 beta alpha)))) |
(/.f64 (+.f64 (sqrt.f64 alpha) (sqrt.f64 beta)) (/.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) (-.f64 (sqrt.f64 beta) (sqrt.f64 alpha)))) |
(/.f64 (+.f64 (sqrt.f64 alpha) (sqrt.f64 beta)) (/.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) (-.f64 (sqrt.f64 beta) (sqrt.f64 alpha)))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (/.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 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (/.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 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (/.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)) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (*.f64 (-.f64 beta alpha) (neg.f64 (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -2 (+.f64 beta alpha)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) 1) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)) |
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) |
(exp.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) |
(+.f64 1 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 0) |
(+.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 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) |
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) |
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (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 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 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) |
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (-.f64 -2 (+.f64 beta alpha)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))) |
(*.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 1 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (*.f64 (-.f64 beta alpha) (+.f64 alpha (-.f64 2 beta)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (*.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (+.f64 alpha (-.f64 2 beta))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 1 (-.f64 -2 (+.f64 beta alpha))) (neg.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.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 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2))) (cbrt.f64 (-.f64 beta alpha))) |
(*.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) (neg.f64 (+.f64 alpha (-.f64 2 beta)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2))) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta 2) (+.f64 beta 2)))) (-.f64 (-.f64 alpha beta) 2)) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (*.f64 alpha alpha) (-.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 2)) (*.f64 alpha (+.f64 beta 2))))) |
(*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) (+.f64 alpha (-.f64 2 beta))) |
(*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 beta beta (neg.f64 (*.f64 alpha alpha))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (fma.f64 beta beta (neg.f64 (*.f64 alpha alpha)))) (-.f64 beta alpha)) |
(*.f64 (/.f64 (*.f64 (fma.f64 beta beta (neg.f64 (*.f64 alpha alpha))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (*.f64 beta beta) (-.f64 (*.f64 alpha alpha) (*.f64 beta alpha)))) |
(*.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 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) (sqrt.f64 (+.f64 alpha (-.f64 2 beta)))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) (cbrt.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 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) (*.f64 (+.f64 alpha (-.f64 2 beta)) (+.f64 alpha (-.f64 2 beta)))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.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 alpha 2) 2) (*.f64 beta beta)))) (+.f64 alpha (-.f64 2 beta))) |
(*.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 alpha 2) 3) (pow.f64 beta 3)))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (+.f64 beta (+.f64 alpha 2)))) (+.f64 alpha (-.f64 2 beta))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) (*.f64 (+.f64 alpha (-.f64 2 beta)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2)))) (+.f64 alpha (-.f64 2 beta)))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1/2) |
(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)) |
(fabs.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 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 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha)))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(+.f64 1 (-.f64 (*.f64 2 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 alpha (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))))))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)))) |
(+.f64 (/.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 alpha beta))) (+.f64 alpha 2)) (-.f64 1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha)))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(+.f64 1 (-.f64 (fma.f64 2 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 alpha (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)))))) (neg.f64 (*.f64 (*.f64 beta beta) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (*.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha))))))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)))) |
(+.f64 1 (-.f64 (fma.f64 2 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 alpha (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)))))) (*.f64 (*.f64 beta (neg.f64 beta)) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (*.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha)))))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) alpha) (+.f64 2 alpha))) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
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(/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
(/.f64 (+.f64 2 (*.f64 alpha 2)) beta) |
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(-.f64 1 (/.f64 beta (+.f64 beta 2))) |
(-.f64 1 (/.f64 beta (+.f64 2 beta))) |
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(+.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 alpha alpha) (fma.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) alpha (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (pow.f64 alpha 3)))) (-.f64 1 (/.f64 beta (+.f64 2 beta)))) |
2 |
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))) |
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))) |
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(+.f64 2 (-.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))) |
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) |
(+.f64 2 (-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) (neg.f64 (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))) |
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) (/.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 2 (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))) |
2 |
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 beta 2) (*.f64 -1 beta)) alpha))) |
(+.f64 2 (neg.f64 (/.f64 (-.f64 (+.f64 2 beta) (neg.f64 beta)) alpha))) |
(+.f64 2 (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 beta 2) (*.f64 -1 beta)) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) |
(+.f64 (+.f64 2 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) (fma.f64 -1 (/.f64 (-.f64 (+.f64 2 beta) (neg.f64 beta)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) |
(+.f64 (fma.f64 -1 (/.f64 (-.f64 (+.f64 2 beta) (neg.f64 beta)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (+.f64 2 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))))) |
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 beta 2) (*.f64 -1 beta)) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) |
(+.f64 2 (fma.f64 -1 (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 -1 (/.f64 (-.f64 (+.f64 2 beta) (neg.f64 beta)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))))) |
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) |
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) |
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha)))) |
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 alpha (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)))))) -2)) |
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha))) (*.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))))) |
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -2 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 alpha (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)))))) (*.f64 (*.f64 beta beta) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (*.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha))))))) |
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -2 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 alpha (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)))))) (*.f64 beta (*.f64 beta (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (*.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha)))))))) |
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(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -2 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 alpha (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)))))) (fma.f64 (pow.f64 beta 3) (fma.f64 -2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (+.f64 alpha 2) alpha)) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))))) (*.f64 (*.f64 beta beta) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (*.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha)))))))) |
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -2 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 alpha (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)))))) (fma.f64 (pow.f64 beta 3) (fma.f64 -2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (+.f64 alpha 2) alpha)) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))))) (*.f64 beta (*.f64 beta (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (*.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha))))))))) |
1 |
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 4 (/.f64 1 beta)))) |
(+.f64 1 (-.f64 (/.f64 (*.f64 alpha -2) beta) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)))))) (+.f64 (*.f64 4 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))) |
(+.f64 1 (-.f64 (fma.f64 -2 (/.f64 alpha beta) (+.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta)) (*.f64 -2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2)))))) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta)))) |
(+.f64 (fma.f64 -2 (/.f64 alpha beta) (+.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta)) (*.f64 -2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2)))))) (-.f64 1 (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 3)))))))) (+.f64 (*.f64 4 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))) |
(-.f64 (fma.f64 2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 1 (fma.f64 -2 (/.f64 alpha beta) (+.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta)) (*.f64 -2 (+.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (/.f64 (pow.f64 beta 3) (+.f64 alpha 2))))))))) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta))) |
(-.f64 (fma.f64 2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 1 (fma.f64 -2 (/.f64 alpha beta) (+.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta)) (*.f64 -2 (+.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (/.f64 (pow.f64 beta 3) (+.f64 alpha 2))) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))))))))) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))) |
(+.f64 1 (*.f64 2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta))) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)))))) |
(+.f64 (+.f64 1 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta))) (fma.f64 2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) (*.f64 -2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2)))))) |
(+.f64 (fma.f64 2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) (*.f64 -2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))))) (+.f64 1 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta)))) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 -2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))))) (pow.f64 beta 3))))))) |
(+.f64 (+.f64 1 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta))) (fma.f64 2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) (fma.f64 -2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (neg.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 -2 (*.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 beta 3)))))) |
(+.f64 (fma.f64 2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) (fma.f64 -2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (neg.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 -2 (*.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (pow.f64 (+.f64 alpha 2) 2)))) (pow.f64 beta 3))))) (+.f64 1 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta)))) |
(/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) |
(/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 beta 2))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) |
(fma.f64 -2 (/.f64 beta (/.f64 (+.f64 2 beta) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 beta 2))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)))) |
(+.f64 (fma.f64 -2 (/.f64 beta (/.f64 (+.f64 2 beta) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (*.f64 alpha alpha) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))))) |
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(+.f64 (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 beta 2))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (+.f64 beta 2))) (*.f64 -2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 2)))) (pow.f64 alpha 3)) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))))) |
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1 |
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(fma.f64 -2 (/.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) alpha) 1) |
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1 |
(+.f64 1 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))) |
(+.f64 1 (*.f64 2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))) |
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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 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 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 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 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) 1)) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(/.f64 beta (+.f64 beta 2)) |
(/.f64 beta (+.f64 2 beta)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))) |
(fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) |
(fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha))))) |
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(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (pow.f64 alpha 3)) (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 (/.f64 beta (+.f64 2 beta)) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)))))) |
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (pow.f64 alpha 3)) (+.f64 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha))))) |
-1 |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) 1) |
(-.f64 (/.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) alpha) 1) |
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(+.f64 (/.f64 beta alpha) (-.f64 (neg.f64 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1))) |
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(-.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)) |
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(-.f64 (+.f64 (fma.f64 -1 (/.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))) (/.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) alpha)) 1) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1) |
(fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) -1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) 1) |
(+.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 2 beta) (/.f64 (*.f64 alpha alpha) (-.f64 (neg.f64 beta) (+.f64 2 beta))))) -1) |
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(*.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 (-.f64 beta 2) alpha))) (/.f64 (-.f64 (*.f64 beta (+.f64 alpha (+.f64 2 beta))) (*.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))) |
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) (*.f64 (+.f64 alpha (-.f64 2 beta)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (*.f64 (+.f64 alpha (-.f64 2 beta)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2))))) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha beta) 2)) (*.f64 alpha (+.f64 (+.f64 alpha beta) 2))) (*.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))) |
(*.f64 (*.f64 (-.f64 2 (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 (-.f64 beta 2) alpha)))) (/.f64 (-.f64 (*.f64 beta (+.f64 alpha (+.f64 2 beta))) (*.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (*.f64 (-.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 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2)))) (+.f64 alpha (-.f64 2 beta)))) |
(*.f64 (*.f64 (+.f64 alpha (-.f64 2 beta)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 beta (+.f64 alpha 2))))) (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 alpha beta) 2)) (*.f64 alpha (+.f64 (+.f64 alpha beta) 2))) (*.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))) |
(*.f64 (*.f64 (-.f64 2 (-.f64 beta alpha)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta (-.f64 (-.f64 beta 2) alpha)))) (/.f64 (-.f64 (*.f64 beta (+.f64 alpha (+.f64 2 beta))) (*.f64 alpha (+.f64 alpha (+.f64 2 beta)))) (*.f64 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1/2) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) |
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) |
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1) |
(/.f64 1 (/.f64 (+.f64 (+.f64 alpha beta) 2) (-.f64 beta alpha))) |
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) |
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3) |
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1)) |
(/.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 beta (+.f64 alpha 2))) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) |
(fabs.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(fabs.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))) |
(fabs.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1)) |
(/.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 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) |
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1)) |
(/.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 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1)) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) |
Compiled 63691 to 42261 computations (33.6% saved)
16 alts after pruning (11 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1548 | 9 | 1557 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 5 | 5 |
| Total | 1550 | 16 | 1566 |
| Status | Error | Program |
|---|---|---|
| 33.5b | (/.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 3) 1/3) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2) | |
| 31.6b | (/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) | |
| 47.6b | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) | |
| 33.5b | (/.f64 (/.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2) | |
| ▶ | 50.2b | (/.f64 (/.f64 2 alpha) 2) |
| 42.6b | (/.f64 (-.f64 2 (/.f64 2 beta)) 2) | |
| ✓ | 31.6b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| ✓ | 14.2b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
| ✓ | 14.9b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| ▶ | 34.1b | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| ▶ | 42.7b | (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) |
| 32.7b | (/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2) | |
| ✓ | 47.6b | (/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2) |
| ▶ | 58.8b | (/.f64 (neg.f64 (/.f64 (*.f64 -2 beta) alpha)) 2) |
| ✓ | 38.0b | (/.f64 2 2) |
| ▶ | 31.6b | (/.f64 1 2) |
Compiled 381 to 302 computations (20.7% saved)
Compiled 7 to 7 computations (0% saved)
Compiled 12 to 9 computations (25% saved)
Compiled 21 to 17 computations (19% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (neg.f64 (/.f64 (*.f64 -2 beta) alpha)) 2) |
Compiled 28 to 19 computations (32.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | beta | @ | -inf | (/.f64 (neg.f64 (/.f64 (*.f64 -2 beta) alpha)) 2) |
| 2.0ms | alpha | @ | -inf | (/.f64 (neg.f64 (/.f64 (*.f64 -2 beta) alpha)) 2) |
| 0.0ms | beta | @ | inf | (/.f64 (neg.f64 (/.f64 (*.f64 -2 beta) alpha)) 2) |
| 0.0ms | beta | @ | 0 | (/.f64 (neg.f64 (/.f64 (*.f64 -2 beta) alpha)) 2) |
| 0.0ms | alpha | @ | 0 | (/.f64 (neg.f64 (/.f64 (*.f64 -2 beta) alpha)) 2) |
| 1× | batch-egg-rewrite |
| 1574× | associate-*l/ |
| 1530× | associate-/l* |
| 976× | *-commutative |
| 410× | associate-/r/ |
| 370× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 23 |
| 1 | 238 | 19 |
| 2 | 3092 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (neg.f64 (/.f64 (*.f64 -2 beta) alpha)) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 beta alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 beta alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (/.f64 beta 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 beta alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta alpha) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 beta alpha)) (neg.f64 (sqrt.f64 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -2 (/.f64 beta alpha))) (*.f64 (sqrt.f64 (*.f64 -2 (/.f64 beta alpha))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -2 (/.f64 beta alpha))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 -2 (/.f64 beta alpha))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 beta alpha)) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 beta alpha)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (cbrt.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (neg.f64 (cbrt.f64 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 beta alpha))) 2) (*.f64 (cbrt.f64 (*.f64 -2 (/.f64 beta alpha))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 beta alpha))) 2) (neg.f64 (*.f64 (cbrt.f64 (*.f64 -2 (/.f64 beta alpha))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 -2 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) beta)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 -2 (/.f64 beta alpha))) 1/2) (sqrt.f64 (*.f64 -2 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 -2 (/.f64 beta alpha))) 1/2) (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 beta alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 beta (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 -2 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 alpha)) (neg.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -2 beta) 2) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (sqrt.f64 (/.f64 alpha (/.f64 beta -1/2))))) (sqrt.f64 (*.f64 -2 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 beta alpha))) 2))) (cbrt.f64 (*.f64 -2 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 -2 (/.f64 beta alpha))) 2) (sqrt.f64 (*.f64 -2 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 beta alpha))) 2) 2) (cbrt.f64 (*.f64 -2 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 2 (sqrt.f64 (/.f64 alpha (/.f64 beta -1/2))))) (sqrt.f64 (*.f64 -2 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 beta alpha))) 2))) (cbrt.f64 (*.f64 -2 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 alpha (sqrt.f64 beta))) (sqrt.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 alpha (pow.f64 (cbrt.f64 beta) 2))) (cbrt.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 beta alpha))) (sqrt.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)) (cbrt.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (/.f64 beta alpha))) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 beta alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 beta alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 beta alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha beta) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 beta alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 beta alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 beta alpha))))))) |
| 1× | egg-herbie |
| 1760× | associate-/r* |
| 1612× | associate-/l/ |
| 636× | associate-+r- |
| 608× | associate-*r/ |
| 500× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 752 |
| 1 | 282 | 740 |
| 2 | 1212 | 740 |
| 3 | 5207 | 740 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(+.f64 0 (/.f64 beta alpha)) |
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 beta alpha)))) 1) |
(-.f64 0 (/.f64 beta alpha)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta alpha))) 1) |
(*.f64 beta (/.f64 1 alpha)) |
(*.f64 (*.f64 -2 (/.f64 beta alpha)) 1/2) |
(*.f64 (*.f64 -2 (/.f64 beta alpha)) -1/2) |
(*.f64 (/.f64 beta alpha) 1) |
(*.f64 (/.f64 beta alpha) -1) |
(*.f64 1 (/.f64 beta alpha)) |
(*.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 (/.f64 beta alpha))) |
(*.f64 (sqrt.f64 (/.f64 beta alpha)) (neg.f64 (sqrt.f64 (/.f64 beta alpha)))) |
(*.f64 (sqrt.f64 (*.f64 -2 (/.f64 beta alpha))) (*.f64 (sqrt.f64 (*.f64 -2 (/.f64 beta alpha))) 1/2)) |
(*.f64 (sqrt.f64 (*.f64 -2 (/.f64 beta alpha))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 -2 (/.f64 beta alpha))) 1/2))) |
(*.f64 (cbrt.f64 (/.f64 beta alpha)) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)) |
(*.f64 (cbrt.f64 (/.f64 beta alpha)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (cbrt.f64 (/.f64 beta alpha))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (neg.f64 (cbrt.f64 (/.f64 beta alpha)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 beta alpha))) 2) (*.f64 (cbrt.f64 (*.f64 -2 (/.f64 beta alpha))) 1/2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 beta alpha))) 2) (neg.f64 (*.f64 (cbrt.f64 (*.f64 -2 (/.f64 beta alpha))) 1/2))) |
(*.f64 -1 (/.f64 beta alpha)) |
(*.f64 1/2 (*.f64 -2 (/.f64 beta alpha))) |
(*.f64 (/.f64 1 alpha) beta) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (/.f64 beta alpha))) 1/2) (sqrt.f64 (*.f64 -2 (/.f64 beta alpha)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 -2 (/.f64 beta alpha))) 1/2) (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 beta alpha))) 2)) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 beta (sqrt.f64 alpha))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha))) |
(*.f64 -1/2 (*.f64 -2 (/.f64 beta alpha))) |
(*.f64 (/.f64 1 (neg.f64 alpha)) (neg.f64 beta)) |
(*.f64 (/.f64 (*.f64 -2 beta) 2) (/.f64 1 alpha)) |
(*.f64 (/.f64 1 (*.f64 2 (sqrt.f64 (/.f64 alpha (/.f64 beta -1/2))))) (sqrt.f64 (*.f64 -2 (/.f64 beta alpha)))) |
(*.f64 (/.f64 1 (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 beta alpha))) 2))) (cbrt.f64 (*.f64 -2 (/.f64 beta alpha)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 -2 (/.f64 beta alpha))) 2) (sqrt.f64 (*.f64 -2 (/.f64 beta alpha)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 beta alpha))) 2) 2) (cbrt.f64 (*.f64 -2 (/.f64 beta alpha)))) |
(*.f64 (/.f64 -1 (*.f64 2 (sqrt.f64 (/.f64 alpha (/.f64 beta -1/2))))) (sqrt.f64 (*.f64 -2 (/.f64 beta alpha)))) |
(*.f64 (/.f64 -1 (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 beta alpha))) 2))) (cbrt.f64 (*.f64 -2 (/.f64 beta alpha)))) |
(*.f64 (/.f64 1 (/.f64 alpha (sqrt.f64 beta))) (sqrt.f64 beta)) |
(*.f64 (/.f64 1 (/.f64 alpha (pow.f64 (cbrt.f64 beta) 2))) (cbrt.f64 beta)) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 beta alpha))) (sqrt.f64 (/.f64 beta alpha))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)) (cbrt.f64 (/.f64 beta alpha))) |
(*.f64 (neg.f64 (cbrt.f64 (/.f64 beta alpha))) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)) |
(pow.f64 (/.f64 beta alpha) 1) |
(pow.f64 (sqrt.f64 (/.f64 beta alpha)) 2) |
(pow.f64 (cbrt.f64 (/.f64 beta alpha)) 3) |
(pow.f64 (pow.f64 (/.f64 beta alpha) 3) 1/3) |
(pow.f64 (/.f64 alpha beta) -1) |
(neg.f64 (/.f64 beta alpha)) |
(sqrt.f64 (pow.f64 (/.f64 beta alpha) 2)) |
(log.f64 (exp.f64 (/.f64 beta alpha))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta alpha)))) |
(cbrt.f64 (pow.f64 (/.f64 beta alpha) 3)) |
(expm1.f64 (log1p.f64 (/.f64 beta alpha))) |
(exp.f64 (log.f64 (/.f64 beta alpha))) |
(log1p.f64 (expm1.f64 (/.f64 beta alpha))) |
| Outputs |
|---|
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(/.f64 beta alpha) |
(+.f64 0 (/.f64 beta alpha)) |
(/.f64 beta alpha) |
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 beta alpha)))) 1) |
(/.f64 (neg.f64 beta) alpha) |
(/.f64 beta (neg.f64 alpha)) |
(-.f64 0 (/.f64 beta alpha)) |
(/.f64 (neg.f64 beta) alpha) |
(/.f64 beta (neg.f64 alpha)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta alpha))) 1) |
(/.f64 beta alpha) |
(*.f64 beta (/.f64 1 alpha)) |
(/.f64 beta alpha) |
(*.f64 (*.f64 -2 (/.f64 beta alpha)) 1/2) |
(/.f64 (neg.f64 beta) alpha) |
(/.f64 beta (neg.f64 alpha)) |
(*.f64 (*.f64 -2 (/.f64 beta alpha)) -1/2) |
(/.f64 beta alpha) |
(*.f64 (/.f64 beta alpha) 1) |
(/.f64 beta alpha) |
(*.f64 (/.f64 beta alpha) -1) |
(/.f64 (neg.f64 beta) alpha) |
(/.f64 beta (neg.f64 alpha)) |
(*.f64 1 (/.f64 beta alpha)) |
(/.f64 beta alpha) |
(*.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
(*.f64 (sqrt.f64 (/.f64 beta alpha)) (neg.f64 (sqrt.f64 (/.f64 beta alpha)))) |
(/.f64 (neg.f64 beta) alpha) |
(/.f64 beta (neg.f64 alpha)) |
(*.f64 (sqrt.f64 (*.f64 -2 (/.f64 beta alpha))) (*.f64 (sqrt.f64 (*.f64 -2 (/.f64 beta alpha))) 1/2)) |
(/.f64 (neg.f64 beta) alpha) |
(/.f64 beta (neg.f64 alpha)) |
(*.f64 (sqrt.f64 (*.f64 -2 (/.f64 beta alpha))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 -2 (/.f64 beta alpha))) 1/2))) |
(/.f64 beta alpha) |
(*.f64 (cbrt.f64 (/.f64 beta alpha)) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)) |
(/.f64 beta alpha) |
(*.f64 (cbrt.f64 (/.f64 beta alpha)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2))) |
(/.f64 (neg.f64 beta) alpha) |
(/.f64 beta (neg.f64 alpha)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (cbrt.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (neg.f64 (cbrt.f64 (/.f64 beta alpha)))) |
(/.f64 (neg.f64 beta) alpha) |
(/.f64 beta (neg.f64 alpha)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 beta alpha))) 2) (*.f64 (cbrt.f64 (*.f64 -2 (/.f64 beta alpha))) 1/2)) |
(/.f64 (neg.f64 beta) alpha) |
(/.f64 beta (neg.f64 alpha)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 beta alpha))) 2) (neg.f64 (*.f64 (cbrt.f64 (*.f64 -2 (/.f64 beta alpha))) 1/2))) |
(/.f64 beta alpha) |
(*.f64 -1 (/.f64 beta alpha)) |
(/.f64 (neg.f64 beta) alpha) |
(/.f64 beta (neg.f64 alpha)) |
(*.f64 1/2 (*.f64 -2 (/.f64 beta alpha))) |
(/.f64 (neg.f64 beta) alpha) |
(/.f64 beta (neg.f64 alpha)) |
(*.f64 (/.f64 1 alpha) beta) |
(/.f64 beta alpha) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (/.f64 beta alpha))) 1/2) (sqrt.f64 (*.f64 -2 (/.f64 beta alpha)))) |
(/.f64 (neg.f64 beta) alpha) |
(/.f64 beta (neg.f64 alpha)) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 -2 (/.f64 beta alpha))) 1/2) (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 beta alpha))) 2)) |
(/.f64 (neg.f64 beta) alpha) |
(/.f64 beta (neg.f64 alpha)) |
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 beta (sqrt.f64 alpha))) |
(/.f64 (/.f64 beta (sqrt.f64 alpha)) (sqrt.f64 alpha)) |
(/.f64 beta (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha))) |
(/.f64 (/.f64 beta (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2)) |
(/.f64 beta (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha))) |
(*.f64 -1/2 (*.f64 -2 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
(*.f64 (/.f64 1 (neg.f64 alpha)) (neg.f64 beta)) |
(/.f64 beta alpha) |
(*.f64 (/.f64 (*.f64 -2 beta) 2) (/.f64 1 alpha)) |
(/.f64 (neg.f64 beta) alpha) |
(/.f64 beta (neg.f64 alpha)) |
(*.f64 (/.f64 1 (*.f64 2 (sqrt.f64 (/.f64 alpha (/.f64 beta -1/2))))) (sqrt.f64 (*.f64 -2 (/.f64 beta alpha)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 beta alpha) -2)) (/.f64 1/2 (sqrt.f64 (*.f64 (/.f64 alpha beta) -1/2)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 beta alpha) -2)) (/.f64 1/2 (sqrt.f64 (/.f64 alpha (/.f64 beta -1/2))))) |
(*.f64 1/2 (/.f64 (sqrt.f64 (*.f64 beta (/.f64 -2 alpha))) (sqrt.f64 (*.f64 alpha (/.f64 -1/2 beta))))) |
(*.f64 (/.f64 1 (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 beta alpha))) 2))) (cbrt.f64 (*.f64 -2 (/.f64 beta alpha)))) |
(/.f64 (neg.f64 beta) alpha) |
(/.f64 beta (neg.f64 alpha)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 -2 (/.f64 beta alpha))) 2) (sqrt.f64 (*.f64 -2 (/.f64 beta alpha)))) |
(/.f64 (neg.f64 beta) alpha) |
(/.f64 beta (neg.f64 alpha)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 beta alpha))) 2) 2) (cbrt.f64 (*.f64 -2 (/.f64 beta alpha)))) |
(/.f64 (neg.f64 beta) alpha) |
(/.f64 beta (neg.f64 alpha)) |
(*.f64 (/.f64 -1 (*.f64 2 (sqrt.f64 (/.f64 alpha (/.f64 beta -1/2))))) (sqrt.f64 (*.f64 -2 (/.f64 beta alpha)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 beta alpha) -2)) (/.f64 -1/2 (sqrt.f64 (*.f64 (/.f64 alpha beta) -1/2)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 beta alpha) -2)) (/.f64 -1/2 (sqrt.f64 (/.f64 alpha (/.f64 beta -1/2))))) |
(*.f64 -1/2 (/.f64 (sqrt.f64 (*.f64 beta (/.f64 -2 alpha))) (sqrt.f64 (*.f64 alpha (/.f64 -1/2 beta))))) |
(*.f64 (/.f64 -1 (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 beta alpha))) 2))) (cbrt.f64 (*.f64 -2 (/.f64 beta alpha)))) |
(/.f64 beta alpha) |
(*.f64 (/.f64 1 (/.f64 alpha (sqrt.f64 beta))) (sqrt.f64 beta)) |
(/.f64 beta alpha) |
(*.f64 (/.f64 1 (/.f64 alpha (pow.f64 (cbrt.f64 beta) 2))) (cbrt.f64 beta)) |
(/.f64 beta alpha) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 beta alpha))) (sqrt.f64 (/.f64 beta alpha))) |
(/.f64 (neg.f64 beta) alpha) |
(/.f64 beta (neg.f64 alpha)) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)) (cbrt.f64 (/.f64 beta alpha))) |
(/.f64 (neg.f64 beta) alpha) |
(/.f64 beta (neg.f64 alpha)) |
(*.f64 (neg.f64 (cbrt.f64 (/.f64 beta alpha))) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2)) |
(/.f64 (neg.f64 beta) alpha) |
(/.f64 beta (neg.f64 alpha)) |
(pow.f64 (/.f64 beta alpha) 1) |
(/.f64 beta alpha) |
(pow.f64 (sqrt.f64 (/.f64 beta alpha)) 2) |
(/.f64 beta alpha) |
(pow.f64 (cbrt.f64 (/.f64 beta alpha)) 3) |
(/.f64 beta alpha) |
(pow.f64 (pow.f64 (/.f64 beta alpha) 3) 1/3) |
(/.f64 beta alpha) |
(pow.f64 (/.f64 alpha beta) -1) |
(/.f64 beta alpha) |
(neg.f64 (/.f64 beta alpha)) |
(/.f64 (neg.f64 beta) alpha) |
(/.f64 beta (neg.f64 alpha)) |
(sqrt.f64 (pow.f64 (/.f64 beta alpha) 2)) |
(/.f64 beta alpha) |
(log.f64 (exp.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta alpha)))) |
(/.f64 beta alpha) |
(cbrt.f64 (pow.f64 (/.f64 beta alpha) 3)) |
(/.f64 beta alpha) |
(expm1.f64 (log1p.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
(exp.f64 (log.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
(log1p.f64 (expm1.f64 (/.f64 beta alpha))) |
(/.f64 beta alpha) |
Compiled 54 to 42 computations (22.2% saved)
Compiled 648 to 342 computations (47.2% saved)
17 alts after pruning (8 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 65 | 2 | 67 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 8 | 9 |
| Total | 66 | 17 | 83 |
| Status | Error | Program |
|---|---|---|
| ▶ | 33.5b | (/.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 3) 1/3) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2) |
| ▶ | 31.6b | (/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) |
| ▶ | 47.6b | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
| 33.5b | (/.f64 (/.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2) | |
| ✓ | 50.2b | (/.f64 (/.f64 2 alpha) 2) |
| 42.6b | (/.f64 (-.f64 2 (/.f64 2 beta)) 2) | |
| ✓ | 31.6b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| ✓ | 14.2b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
| ✓ | 14.9b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| ✓ | 34.1b | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| ✓ | 42.7b | (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) |
| ▶ | 32.7b | (/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2) |
| ✓ | 47.6b | (/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2) |
| 61.8b | (/.f64 (neg.f64 beta) alpha) | |
| ▶ | 58.8b | (/.f64 beta alpha) |
| ✓ | 38.0b | (/.f64 2 2) |
| ✓ | 31.6b | (/.f64 1 2) |
Compiled 347 to 268 computations (22.8% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha))) |
| ✓ | 1.4b | (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) |
Compiled 97 to 68 computations (29.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | alpha | @ | inf | (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) |
| 0.0ms | alpha | @ | 0 | (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) |
| 0.0ms | alpha | @ | -inf | (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) |
| 0.0ms | alpha | @ | inf | (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha))) |
| 0.0ms | alpha | @ | 0 | (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha))) |
| 1× | batch-egg-rewrite |
| 1478× | associate-/r* |
| 1244× | associate-/l* |
| 972× | *-commutative |
| 716× | associate-/r/ |
| 428× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 44 |
| 1 | 208 | 44 |
| 2 | 2914 | 44 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) |
(*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6)) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)))) (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)) (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))) (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6))) (+.f64 1 (-.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6)) (-.f64 1 (*.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)) (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))))) (-.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6)) (+.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)) 3))) (+.f64 1 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|
| 1× | egg-herbie |
| 960× | associate-/l/ |
| 926× | associate-/l* |
| 764× | associate-/r* |
| 714× | times-frac |
| 586× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 577 | 9662 |
| 1 | 1680 | 8574 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/4 (pow.f64 alpha 2))) |
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2)))) |
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 -3/16 (pow.f64 alpha 4)) (*.f64 -1/4 (pow.f64 alpha 2))))) |
(/.f64 4 alpha) |
(-.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) (*.f64 80 (/.f64 1 (pow.f64 alpha 4))))) |
(/.f64 4 alpha) |
(-.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) (*.f64 80 (/.f64 1 (pow.f64 alpha 4))))) |
(*.f64 1/4 (pow.f64 alpha 2)) |
(+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (*.f64 1/4 (pow.f64 alpha 2))) |
(+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -1/8 (pow.f64 alpha 5)) (+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 2))))) |
1 |
(-.f64 1 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (*.f64 4 (/.f64 1 alpha))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha)))) |
1 |
(-.f64 1 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (*.f64 4 (/.f64 1 alpha))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha)))) |
(+.f64 1 (neg.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) |
(+.f64 (neg.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 1) |
(+.f64 (-.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 1) |
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(/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2)) (*.f64 (/.f64 (-.f64 -2 alpha) alpha) (cbrt.f64 (-.f64 -2 alpha)))) |
(/.f64 (/.f64 alpha (*.f64 (-.f64 4 (*.f64 alpha alpha)) (/.f64 (-.f64 -2 alpha) alpha))) (/.f64 1 (+.f64 alpha -2))) |
(/.f64 (/.f64 alpha (/.f64 (-.f64 -8 (pow.f64 alpha 3)) (/.f64 alpha (-.f64 -2 alpha)))) (/.f64 1 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(/.f64 (/.f64 alpha (-.f64 4 (*.f64 alpha alpha))) (/.f64 (/.f64 (-.f64 -2 alpha) alpha) (+.f64 alpha -2))) |
(/.f64 (/.f64 alpha (-.f64 -8 (pow.f64 alpha 3))) (/.f64 (/.f64 (-.f64 -2 alpha) alpha) (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))) |
(/.f64 -1 (/.f64 (*.f64 (/.f64 (-.f64 -2 alpha) alpha) (+.f64 2 alpha)) alpha)) |
(/.f64 -1 (*.f64 (/.f64 (-.f64 -2 alpha) alpha) (neg.f64 (/.f64 (-.f64 -2 alpha) alpha)))) |
(/.f64 (neg.f64 (sqrt.f64 alpha)) (/.f64 (*.f64 (/.f64 (-.f64 -2 alpha) alpha) (+.f64 2 alpha)) (sqrt.f64 alpha))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (*.f64 (/.f64 (-.f64 -2 alpha) alpha) (+.f64 2 alpha)) (cbrt.f64 alpha))) |
(/.f64 (neg.f64 (neg.f64 alpha)) (*.f64 (/.f64 (-.f64 -2 alpha) alpha) (neg.f64 (+.f64 2 alpha)))) |
(/.f64 (neg.f64 (*.f64 alpha alpha)) (neg.f64 (pow.f64 (-.f64 -2 alpha) 2))) |
(/.f64 (neg.f64 (*.f64 alpha (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 2 alpha)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))) (sqrt.f64 alpha)) (/.f64 (-.f64 -2 alpha) (*.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))) (sqrt.f64 alpha)))) |
(/.f64 (/.f64 alpha (*.f64 (-.f64 -2 alpha) (sqrt.f64 (-.f64 -2 alpha)))) (/.f64 (sqrt.f64 (-.f64 -2 alpha)) alpha)) |
(/.f64 (/.f64 alpha (*.f64 (-.f64 -2 alpha) (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2))) (/.f64 (cbrt.f64 (-.f64 -2 alpha)) alpha)) |
(/.f64 (/.f64 alpha (pow.f64 (-.f64 -2 alpha) 2)) (/.f64 1 alpha)) |
(/.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (/.f64 (-.f64 -2 alpha) alpha) (/.f64 (sqrt.f64 alpha) (-.f64 -2 alpha)))) |
(/.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2)) (/.f64 (/.f64 (-.f64 -2 alpha) alpha) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (-.f64 -2 alpha))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (/.f64 (-.f64 -2 alpha) alpha) (/.f64 (cbrt.f64 alpha) (-.f64 -2 alpha)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (-.f64 -2 alpha))) (/.f64 (/.f64 (-.f64 -2 alpha) alpha) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (-.f64 -2 alpha))))) |
(/.f64 (/.f64 (*.f64 alpha (/.f64 alpha (-.f64 -2 alpha))) (cbrt.f64 (-.f64 -2 alpha))) (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2)) |
(/.f64 (/.f64 (/.f64 alpha (-.f64 -2 alpha)) (sqrt.f64 (/.f64 (-.f64 -2 alpha) alpha))) (sqrt.f64 (/.f64 (-.f64 -2 alpha) alpha))) |
(/.f64 (/.f64 (/.f64 alpha (-.f64 -2 alpha)) (*.f64 (cbrt.f64 (/.f64 (-.f64 -2 alpha) alpha)) (cbrt.f64 (/.f64 (-.f64 -2 alpha) alpha)))) (cbrt.f64 (/.f64 (-.f64 -2 alpha) alpha))) |
(/.f64 (/.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 1 (sqrt.f64 alpha))) (/.f64 (-.f64 -2 alpha) (sqrt.f64 alpha))) |
(/.f64 (/.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2))) (/.f64 (-.f64 -2 alpha) (cbrt.f64 alpha))) |
(/.f64 (/.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 (sqrt.f64 (-.f64 -2 alpha)) (sqrt.f64 alpha))) (/.f64 (sqrt.f64 (-.f64 -2 alpha)) (sqrt.f64 alpha))) |
(/.f64 (/.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 (sqrt.f64 (-.f64 -2 alpha)) (pow.f64 (cbrt.f64 alpha) 2))) (/.f64 (sqrt.f64 (-.f64 -2 alpha)) (cbrt.f64 alpha))) |
(/.f64 (/.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2) (sqrt.f64 alpha))) (/.f64 (cbrt.f64 (-.f64 -2 alpha)) (sqrt.f64 alpha))) |
(/.f64 (/.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2))) (/.f64 (cbrt.f64 (-.f64 -2 alpha)) (cbrt.f64 alpha))) |
(/.f64 (/.f64 (*.f64 alpha alpha) 1) (pow.f64 (-.f64 -2 alpha) 2)) |
(/.f64 (/.f64 (*.f64 alpha alpha) (sqrt.f64 (-.f64 -2 alpha))) (*.f64 (-.f64 -2 alpha) (sqrt.f64 (-.f64 -2 alpha)))) |
(/.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2)) (*.f64 (-.f64 -2 alpha) (cbrt.f64 (-.f64 -2 alpha)))) |
(/.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2) (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2))) (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2)) |
(/.f64 (/.f64 (neg.f64 alpha) (/.f64 (-.f64 -2 alpha) alpha)) (+.f64 2 alpha)) |
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (neg.f64 alpha)) (+.f64 2 alpha)) (+.f64 2 alpha)) |
(/.f64 (/.f64 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (neg.f64 alpha)) 1) (+.f64 2 alpha)) |
(/.f64 (/.f64 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (neg.f64 alpha)) (sqrt.f64 (-.f64 -2 alpha))) (neg.f64 (sqrt.f64 (-.f64 -2 alpha)))) |
(/.f64 (/.f64 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (neg.f64 alpha)) (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2)) (neg.f64 (cbrt.f64 (-.f64 -2 alpha)))) |
(/.f64 (/.f64 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (neg.f64 alpha)) (sqrt.f64 (+.f64 2 alpha))) (sqrt.f64 (+.f64 2 alpha))) |
(/.f64 (/.f64 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (neg.f64 alpha)) (*.f64 (cbrt.f64 (+.f64 2 alpha)) (cbrt.f64 (+.f64 2 alpha)))) (cbrt.f64 (+.f64 2 alpha))) |
(/.f64 (/.f64 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (neg.f64 alpha)) -1) (-.f64 -2 alpha)) |
(/.f64 (/.f64 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (neg.f64 alpha)) (neg.f64 (sqrt.f64 (-.f64 -2 alpha)))) (sqrt.f64 (-.f64 -2 alpha))) |
(/.f64 (/.f64 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (neg.f64 alpha)) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2))) (cbrt.f64 (-.f64 -2 alpha))) |
(/.f64 (/.f64 (*.f64 alpha (neg.f64 alpha)) (-.f64 -2 alpha)) (+.f64 2 alpha)) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (/.f64 alpha (-.f64 -2 alpha))) (sqrt.f64 (-.f64 -2 alpha))) 1) (sqrt.f64 (-.f64 -2 alpha))) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (/.f64 alpha (-.f64 -2 alpha))) (sqrt.f64 (-.f64 -2 alpha))) (cbrt.f64 (-.f64 -2 alpha))) (cbrt.f64 (sqrt.f64 (-.f64 -2 alpha)))) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (/.f64 alpha (-.f64 -2 alpha))) (sqrt.f64 (-.f64 -2 alpha))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 -2 alpha)))) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (/.f64 alpha (-.f64 -2 alpha))) (sqrt.f64 (-.f64 -2 alpha))) (sqrt.f64 (sqrt.f64 (-.f64 -2 alpha)))) (sqrt.f64 (sqrt.f64 (-.f64 -2 alpha)))) |
(/.f64 (/.f64 (/.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2) alpha)) 1) (cbrt.f64 (-.f64 -2 alpha))) |
(/.f64 (/.f64 (/.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2) alpha)) (sqrt.f64 (cbrt.f64 (-.f64 -2 alpha)))) (sqrt.f64 (cbrt.f64 (-.f64 -2 alpha)))) |
(/.f64 (/.f64 (/.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2) alpha)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 -2 alpha))) (cbrt.f64 (cbrt.f64 (-.f64 -2 alpha))))) (cbrt.f64 (cbrt.f64 (-.f64 -2 alpha)))) |
(/.f64 (/.f64 (/.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2) alpha)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 -2 alpha)))) |
(/.f64 (/.f64 (/.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2) alpha)) (cbrt.f64 (sqrt.f64 (-.f64 -2 alpha)))) (cbrt.f64 (sqrt.f64 (-.f64 -2 alpha)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 alpha (/.f64 alpha (-.f64 -2 alpha)))) 1) (+.f64 2 alpha)) |
(/.f64 (/.f64 (neg.f64 (*.f64 alpha (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (-.f64 -2 alpha))) (neg.f64 (sqrt.f64 (-.f64 -2 alpha)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 alpha (/.f64 alpha (-.f64 -2 alpha)))) (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2)) (neg.f64 (cbrt.f64 (-.f64 -2 alpha)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 alpha (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (+.f64 2 alpha))) (sqrt.f64 (+.f64 2 alpha))) |
(/.f64 (/.f64 (neg.f64 (*.f64 alpha (/.f64 alpha (-.f64 -2 alpha)))) (*.f64 (cbrt.f64 (+.f64 2 alpha)) (cbrt.f64 (+.f64 2 alpha)))) (cbrt.f64 (+.f64 2 alpha))) |
(/.f64 (/.f64 (neg.f64 (*.f64 alpha (/.f64 alpha (-.f64 -2 alpha)))) -1) (-.f64 -2 alpha)) |
(/.f64 (/.f64 (neg.f64 (*.f64 alpha (/.f64 alpha (-.f64 -2 alpha)))) (neg.f64 (sqrt.f64 (-.f64 -2 alpha)))) (sqrt.f64 (-.f64 -2 alpha))) |
(/.f64 (/.f64 (neg.f64 (*.f64 alpha (/.f64 alpha (-.f64 -2 alpha)))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2))) (cbrt.f64 (-.f64 -2 alpha))) |
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) |
(pow.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) 1) |
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2) 3) |
(pow.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)) |
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))) |
(cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6)) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) |
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (-.f64 -2 alpha))) 2)) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/4 (pow.f64 alpha 2))) |
(+.f64 1 (*.f64 -1/4 (*.f64 alpha alpha))) |
(fma.f64 -1/4 (*.f64 alpha alpha) 1) |
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2)))) |
(+.f64 1 (fma.f64 1/4 (pow.f64 alpha 3) (*.f64 -1/4 (*.f64 alpha alpha)))) |
(+.f64 (fma.f64 -1/4 (*.f64 alpha alpha) 1) (*.f64 1/4 (pow.f64 alpha 3))) |
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 -3/16 (pow.f64 alpha 4)) (*.f64 -1/4 (pow.f64 alpha 2))))) |
(+.f64 1 (fma.f64 1/4 (pow.f64 alpha 3) (fma.f64 -3/16 (pow.f64 alpha 4) (*.f64 -1/4 (*.f64 alpha alpha))))) |
(+.f64 (fma.f64 1/4 (pow.f64 alpha 3) (*.f64 -3/16 (pow.f64 alpha 4))) (fma.f64 -1/4 (*.f64 alpha alpha) 1)) |
(/.f64 4 alpha) |
(-.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 4 alpha) (/.f64 12 (*.f64 alpha alpha))) |
(-.f64 (/.f64 4 alpha) (/.f64 (/.f64 12 alpha) alpha)) |
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (/.f64 12 (*.f64 alpha alpha)))) |
(+.f64 (-.f64 (/.f64 4 alpha) (/.f64 (/.f64 12 alpha) alpha)) (/.f64 32 (pow.f64 alpha 3))) |
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) (*.f64 80 (/.f64 1 (pow.f64 alpha 4))))) |
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (+.f64 (/.f64 12 (*.f64 alpha alpha)) (/.f64 80 (pow.f64 alpha 4))))) |
(-.f64 (+.f64 (-.f64 (/.f64 4 alpha) (/.f64 (/.f64 12 alpha) alpha)) (/.f64 32 (pow.f64 alpha 3))) (/.f64 80 (pow.f64 alpha 4))) |
(/.f64 4 alpha) |
(-.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 4 alpha) (/.f64 12 (*.f64 alpha alpha))) |
(-.f64 (/.f64 4 alpha) (/.f64 (/.f64 12 alpha) alpha)) |
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (/.f64 12 (*.f64 alpha alpha)))) |
(+.f64 (-.f64 (/.f64 4 alpha) (/.f64 (/.f64 12 alpha) alpha)) (/.f64 32 (pow.f64 alpha 3))) |
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) (*.f64 80 (/.f64 1 (pow.f64 alpha 4))))) |
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (+.f64 (/.f64 12 (*.f64 alpha alpha)) (/.f64 80 (pow.f64 alpha 4))))) |
(-.f64 (+.f64 (-.f64 (/.f64 4 alpha) (/.f64 (/.f64 12 alpha) alpha)) (/.f64 32 (pow.f64 alpha 3))) (/.f64 80 (pow.f64 alpha 4))) |
(*.f64 1/4 (pow.f64 alpha 2)) |
(*.f64 1/4 (*.f64 alpha alpha)) |
(*.f64 alpha (*.f64 alpha 1/4)) |
(+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (*.f64 1/4 (pow.f64 alpha 2))) |
(fma.f64 -1/4 (pow.f64 alpha 3) (*.f64 1/4 (*.f64 alpha alpha))) |
(fma.f64 -1/4 (pow.f64 alpha 3) (*.f64 alpha (*.f64 alpha 1/4))) |
(+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 2)))) |
(fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 3/16 (pow.f64 alpha 4) (*.f64 1/4 (*.f64 alpha alpha)))) |
(fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 1/4 (*.f64 alpha alpha) (*.f64 (pow.f64 alpha 4) 3/16))) |
(+.f64 (*.f64 -1/8 (pow.f64 alpha 5)) (+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 2))))) |
(fma.f64 -1/8 (pow.f64 alpha 5) (fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 3/16 (pow.f64 alpha 4) (*.f64 1/4 (*.f64 alpha alpha))))) |
(fma.f64 -1/8 (pow.f64 alpha 5) (fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 1/4 (*.f64 alpha alpha) (*.f64 (pow.f64 alpha 4) 3/16)))) |
1 |
(-.f64 1 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 1 (/.f64 4 alpha)) |
(+.f64 1 (/.f64 -4 alpha)) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (*.f64 4 (/.f64 1 alpha))) |
(+.f64 (/.f64 12 (*.f64 alpha alpha)) (-.f64 1 (/.f64 4 alpha))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 12 alpha) alpha) (/.f64 -4 alpha))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha)))) |
(-.f64 (+.f64 1 (/.f64 12 (*.f64 alpha alpha))) (+.f64 (/.f64 4 alpha) (/.f64 32 (pow.f64 alpha 3)))) |
(+.f64 1 (-.f64 (/.f64 (/.f64 12 alpha) alpha) (+.f64 (/.f64 4 alpha) (/.f64 32 (pow.f64 alpha 3))))) |
1 |
(-.f64 1 (*.f64 4 (/.f64 1 alpha))) |
(-.f64 1 (/.f64 4 alpha)) |
(+.f64 1 (/.f64 -4 alpha)) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (*.f64 4 (/.f64 1 alpha))) |
(+.f64 (/.f64 12 (*.f64 alpha alpha)) (-.f64 1 (/.f64 4 alpha))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 12 alpha) alpha) (/.f64 -4 alpha))) |
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha)))) |
(-.f64 (+.f64 1 (/.f64 12 (*.f64 alpha alpha))) (+.f64 (/.f64 4 alpha) (/.f64 32 (pow.f64 alpha 3)))) |
(+.f64 1 (-.f64 (/.f64 (/.f64 12 alpha) alpha) (+.f64 (/.f64 4 alpha) (/.f64 32 (pow.f64 alpha 3))))) |
(+.f64 1 (neg.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) |
(-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) |
(+.f64 (neg.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 1) |
(-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) |
(+.f64 (-.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 1) |
(-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) |
(*.f64 1 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) |
(-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 1) |
(-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) |
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))) |
(-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) |
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2)) |
(-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))) |
(-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)) 1) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6)) (/.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6)) 1) (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)))) |
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))) |
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)) 1) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) |
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(/.f64 (/.f64 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (neg.f64 alpha)) -1) (-.f64 -2 alpha)) |
(+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1)) |
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) |
(/.f64 (/.f64 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (neg.f64 alpha)) (neg.f64 (sqrt.f64 (-.f64 -2 alpha)))) (sqrt.f64 (-.f64 -2 alpha))) |
(+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1)) |
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) |
(/.f64 (/.f64 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (neg.f64 alpha)) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2))) (cbrt.f64 (-.f64 -2 alpha))) |
(+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1)) |
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) |
(/.f64 (/.f64 (*.f64 alpha (neg.f64 alpha)) (-.f64 -2 alpha)) (+.f64 2 alpha)) |
(+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1)) |
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (/.f64 alpha (-.f64 -2 alpha))) (sqrt.f64 (-.f64 -2 alpha))) 1) (sqrt.f64 (-.f64 -2 alpha))) |
(+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1)) |
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (/.f64 alpha (-.f64 -2 alpha))) (sqrt.f64 (-.f64 -2 alpha))) (cbrt.f64 (-.f64 -2 alpha))) (cbrt.f64 (sqrt.f64 (-.f64 -2 alpha)))) |
(/.f64 (/.f64 alpha (/.f64 (sqrt.f64 (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 -2 alpha))) (cbrt.f64 (-.f64 -2 alpha)))) |
(/.f64 (/.f64 (/.f64 alpha (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 4) alpha)) (sqrt.f64 (-.f64 -2 alpha))) (cbrt.f64 (sqrt.f64 (-.f64 -2 alpha)))) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (/.f64 alpha (-.f64 -2 alpha))) (sqrt.f64 (-.f64 -2 alpha))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 -2 alpha)))) |
(/.f64 (/.f64 alpha (/.f64 (sqrt.f64 (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 -2 alpha))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2)))) |
(/.f64 (*.f64 (/.f64 alpha (fabs.f64 (cbrt.f64 (-.f64 -2 alpha)))) (/.f64 (/.f64 alpha (-.f64 -2 alpha)) (sqrt.f64 (-.f64 -2 alpha)))) (sqrt.f64 (cbrt.f64 (-.f64 -2 alpha)))) |
(/.f64 (/.f64 (/.f64 (*.f64 alpha (/.f64 alpha (-.f64 -2 alpha))) (sqrt.f64 (-.f64 -2 alpha))) (sqrt.f64 (sqrt.f64 (-.f64 -2 alpha)))) (sqrt.f64 (sqrt.f64 (-.f64 -2 alpha)))) |
(+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1)) |
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) |
(/.f64 (/.f64 (/.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2) alpha)) 1) (cbrt.f64 (-.f64 -2 alpha))) |
(+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1)) |
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) |
(/.f64 (/.f64 (/.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2) alpha)) (sqrt.f64 (cbrt.f64 (-.f64 -2 alpha)))) (sqrt.f64 (cbrt.f64 (-.f64 -2 alpha)))) |
(+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1)) |
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) |
(/.f64 (/.f64 (/.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2) alpha)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 -2 alpha))) (cbrt.f64 (cbrt.f64 (-.f64 -2 alpha))))) (cbrt.f64 (cbrt.f64 (-.f64 -2 alpha)))) |
(+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1)) |
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) |
(/.f64 (/.f64 (/.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2) alpha)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 -2 alpha)))) |
(/.f64 (*.f64 (/.f64 alpha (*.f64 (-.f64 -2 alpha) (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2))) alpha) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 -2 alpha))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2)))) |
(*.f64 (/.f64 (/.f64 alpha (*.f64 (-.f64 -2 alpha) (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 -2 alpha)))) (/.f64 alpha (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2)))) |
(/.f64 (/.f64 (/.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2) alpha)) (cbrt.f64 (sqrt.f64 (-.f64 -2 alpha)))) (cbrt.f64 (sqrt.f64 (-.f64 -2 alpha)))) |
(/.f64 (*.f64 (/.f64 alpha (*.f64 (-.f64 -2 alpha) (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2))) alpha) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 -2 alpha))) (cbrt.f64 (sqrt.f64 (-.f64 -2 alpha))))) |
(/.f64 (/.f64 alpha (*.f64 (+.f64 (/.f64 -2 alpha) -1) (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 -2 alpha))) (cbrt.f64 (sqrt.f64 (-.f64 -2 alpha))))) |
(/.f64 (/.f64 (neg.f64 (*.f64 alpha (/.f64 alpha (-.f64 -2 alpha)))) 1) (+.f64 2 alpha)) |
(+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1)) |
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) |
(/.f64 (/.f64 (neg.f64 (*.f64 alpha (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (-.f64 -2 alpha))) (neg.f64 (sqrt.f64 (-.f64 -2 alpha)))) |
(+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1)) |
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) |
(/.f64 (/.f64 (neg.f64 (*.f64 alpha (/.f64 alpha (-.f64 -2 alpha)))) (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2)) (neg.f64 (cbrt.f64 (-.f64 -2 alpha)))) |
(+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1)) |
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) |
(/.f64 (/.f64 (neg.f64 (*.f64 alpha (/.f64 alpha (-.f64 -2 alpha)))) (sqrt.f64 (+.f64 2 alpha))) (sqrt.f64 (+.f64 2 alpha))) |
(+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1)) |
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) |
(/.f64 (/.f64 (neg.f64 (*.f64 alpha (/.f64 alpha (-.f64 -2 alpha)))) (*.f64 (cbrt.f64 (+.f64 2 alpha)) (cbrt.f64 (+.f64 2 alpha)))) (cbrt.f64 (+.f64 2 alpha))) |
(+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1)) |
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) |
(/.f64 (/.f64 (neg.f64 (*.f64 alpha (/.f64 alpha (-.f64 -2 alpha)))) -1) (-.f64 -2 alpha)) |
(+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1)) |
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) |
(/.f64 (/.f64 (neg.f64 (*.f64 alpha (/.f64 alpha (-.f64 -2 alpha)))) (neg.f64 (sqrt.f64 (-.f64 -2 alpha)))) (sqrt.f64 (-.f64 -2 alpha))) |
(+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1)) |
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) |
(/.f64 (/.f64 (neg.f64 (*.f64 alpha (/.f64 alpha (-.f64 -2 alpha)))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 -2 alpha)) 2))) (cbrt.f64 (-.f64 -2 alpha))) |
(+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1)) |
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) |
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) |
(+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1)) |
(pow.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) 1) |
(+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1)) |
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) |
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2) 3) |
(pow.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6) 1/3) |
(cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6)) |
(sqrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)) |
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) |
(+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1)) |
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))) |
(+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1)) |
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) |
(cbrt.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6)) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) |
(+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1)) |
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) |
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (-.f64 -2 alpha))) 2)) |
(+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1)) |
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) |
(+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1)) |
(pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) |
Compiled 7 to 3 computations (57.1% saved)
Compiled 21 to 17 computations (19% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
Compiled 29 to 21 computations (27.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | alpha | @ | inf | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 0.0ms | beta | @ | -inf | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 0.0ms | beta | @ | 0 | (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
| 0.0ms | alpha | @ | 0 | (/.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 | (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 3) |
| ✓ | 0.3b | (pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 3) 1/3) |
| 2.5b | (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) | |
| ✓ | 4.4b | (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) |
Compiled 169 to 105 computations (37.9% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 46.0ms | alpha | @ | -inf | (pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 3) 1/3) |
| 10.0ms | alpha | @ | 0 | (pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 3) 1/3) |
| 9.0ms | beta | @ | 0 | (pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 3) 1/3) |
| 8.0ms | alpha | @ | inf | (pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 3) 1/3) |
| 7.0ms | beta | @ | -inf | (pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 3) 1/3) |
| 1× | batch-egg-rewrite |
| 1810× | associate-/r* |
| 1542× | associate-/l* |
| 362× | add-sqr-sqrt |
| 344× | *-un-lft-identity |
| 342× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 117 |
| 1 | 384 | 117 |
| 2 | 4937 | 117 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) |
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 3) 1/3) |
(pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 2) 1/3) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)) (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))) (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))) (/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)))) (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) 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| 1× | egg-herbie |
| 1364× | +-commutative |
| 1064× | associate-/l* |
| 1024× | associate-+r+ |
| 956× | associate-/r* |
| 772× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1099 | 60112 |
| 1 | 3880 | 59974 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha)))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha)))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) alpha) (+.f64 2 alpha))) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(/.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 -2 alpha)) beta) |
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(*.f64 8 (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 3) (pow.f64 alpha 3))) |
(+.f64 (*.f64 8 (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 alpha 4))) (*.f64 -8 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 alpha 4))))) |
(+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) 2) (-.f64 beta (*.f64 -1 (+.f64 beta 2)))) (pow.f64 alpha 5))) (+.f64 (*.f64 8 (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 alpha 4))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 5))) (+.f64 (*.f64 -8 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 alpha 4))) (*.f64 2 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 (pow.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) 2) (*.f64 -4 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))))))) (pow.f64 alpha 5)))))))) |
(+.f64 (*.f64 -4 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 alpha 4))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 alpha 6))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (+.f64 (pow.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) 2) (*.f64 -4 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))))))) (pow.f64 alpha 6))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 (*.f64 -4 (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) (-.f64 beta (*.f64 -1 (+.f64 beta 2))))) (*.f64 2 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))))))) (pow.f64 alpha 6))) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) 2) (-.f64 beta (*.f64 -1 (+.f64 beta 2)))) (pow.f64 alpha 5))) (+.f64 (*.f64 8 (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 4 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 6))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 5))) (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 (pow.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) 2) (*.f64 -4 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))))))) (pow.f64 alpha 5))) (*.f64 -8 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 alpha 4)))))))))))) |
(*.f64 -8 (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 3) (pow.f64 alpha 3))) |
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(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 2) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))) 1) (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 2) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 2) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)) (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 2)) 1) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)) (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 2)) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)) (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)) (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 2)) 1) (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)) (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 2)) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)) (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))))) |
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 6)) |
(log.f64 (exp.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 3))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 3)))) |
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 3) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 3))) |
(exp.f64 (*.f64 3 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))) |
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 3))) |
| Outputs |
|---|
(-.f64 1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha)))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(+.f64 1 (-.f64 (*.f64 2 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 alpha (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))))))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)))) |
(+.f64 (/.f64 (*.f64 2 beta) (/.f64 (/.f64 (+.f64 alpha 2) alpha) (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))))) (-.f64 1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha)))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(+.f64 1 (-.f64 (fma.f64 2 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 alpha (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)))))) (neg.f64 (*.f64 (*.f64 beta beta) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (*.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha))))))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)))) |
(+.f64 1 (-.f64 (fma.f64 2 (/.f64 beta (/.f64 (/.f64 (+.f64 alpha 2) alpha) (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))))) (neg.f64 (*.f64 (*.f64 beta beta) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (*.f64 -2 (/.f64 alpha (/.f64 (+.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 alpha) (pow.f64 (+.f64 alpha 2) 2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) alpha) (+.f64 2 alpha))) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(+.f64 1 (-.f64 (fma.f64 2 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 alpha (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)))))) (*.f64 -1 (+.f64 (*.f64 (pow.f64 beta 3) (fma.f64 -2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (+.f64 alpha 2) alpha)) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))))) (*.f64 (*.f64 beta beta) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (*.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha)))))))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)))) |
(+.f64 1 (-.f64 (fma.f64 2 (/.f64 beta (/.f64 (/.f64 (+.f64 alpha 2) alpha) (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))))) (fma.f64 -1 (*.f64 (pow.f64 beta 3) (fma.f64 -2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (+.f64 alpha 2) alpha)) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))))) (neg.f64 (*.f64 (*.f64 beta beta) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (*.f64 -2 (/.f64 alpha (/.f64 (+.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 alpha) (pow.f64 (+.f64 alpha 2) 2)))) |
(/.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 -2 alpha)) beta) |
(/.f64 (+.f64 (+.f64 4 (*.f64 alpha 2)) (*.f64 alpha 2)) beta) |
(/.f64 (+.f64 4 (-.f64 (*.f64 alpha 2) (*.f64 alpha -2))) beta) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 4 (/.f64 1 beta)))) (*.f64 -2 (/.f64 alpha beta))) |
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 beta beta)) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta))) (/.f64 (*.f64 alpha 2) beta)) |
(+.f64 (/.f64 alpha (/.f64 beta 2)) (fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 beta beta)) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 4 (/.f64 1 beta)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -2 (*.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (+.f64 2 alpha)))) (pow.f64 beta 3)))))) (*.f64 -2 (/.f64 alpha beta))) |
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 beta beta)) (+.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta)) (neg.f64 (/.f64 (fma.f64 2 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (*.f64 -2 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)))) (pow.f64 beta 3))))) (/.f64 (*.f64 alpha 2) beta)) |
(+.f64 (/.f64 alpha (/.f64 beta 2)) (+.f64 (fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 beta beta)) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta))) (neg.f64 (/.f64 (fma.f64 2 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (*.f64 -2 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)))) (pow.f64 beta 3))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 4 (/.f64 1 beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -2 (*.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (+.f64 2 alpha)))) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)))) (pow.f64 beta 4))))))) (*.f64 -2 (/.f64 alpha beta))) |
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 beta beta)) (+.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta)) (*.f64 -1 (+.f64 (/.f64 (fma.f64 2 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (*.f64 -2 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)))) (pow.f64 beta 3)) (/.f64 (fma.f64 -2 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (*.f64 3 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)))) (pow.f64 beta 4)))))) (/.f64 (*.f64 alpha 2) beta)) |
(+.f64 (/.f64 alpha (/.f64 beta 2)) (+.f64 (fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 beta beta)) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta))) (*.f64 -1 (+.f64 (/.f64 (fma.f64 2 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (*.f64 -2 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)))) (pow.f64 beta 3)) (/.f64 (fma.f64 -2 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (*.f64 3 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)))) (pow.f64 beta 4)))))) |
(*.f64 -2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) |
(*.f64 -2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 2))) (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))) |
(fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 beta beta)) (*.f64 -2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (*.f64 2 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (+.f64 2 alpha)) (pow.f64 beta 3)))))) |
(fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 beta beta)) (fma.f64 -2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 -2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) (/.f64 (*.f64 (*.f64 2 (+.f64 alpha 2)) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (pow.f64 beta 3))))) |
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(*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) |
(/.f64 (*.f64 2 (-.f64 beta (+.f64 (neg.f64 beta) -2))) alpha) |
(*.f64 2 (/.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) alpha)) |
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(-.f64 beta (+.f64 (neg.f64 beta) -2)) (pow.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) 2)) (*.f64 (*.f64 2 (-.f64 beta (+.f64 (neg.f64 beta) -2))) (+.f64 (pow.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) 2) (*.f64 (*.f64 -4 (-.f64 beta (+.f64 (neg.f64 beta) -2))) (*.f64 -2 (+.f64 (*.f64 (+.f64 2 beta) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (+.f64 (neg.f64 beta) -2)))))))))) (*.f64 -2/3 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 beta (+.f64 (neg.f64 beta) -2)))) (pow.f64 (*.f64 (*.f64 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2) (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2))) -12) 2)) (pow.f64 (cbrt.f64 4) 2))))))))))) (*.f64 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2) (pow.f64 alpha 4))))))) |
(fma.f64 1/3 (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) 2) (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 -2 (neg.f64 beta)))) (pow.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) 2))) (/.f64 (*.f64 (*.f64 alpha alpha) (cbrt.f64 4)) -12)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) 2)))) (fma.f64 2 (/.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) alpha) (*.f64 1/12 (+.f64 (/.f64 (+.f64 (fma.f64 -4 (*.f64 (pow.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) 2) (*.f64 -2 (+.f64 (*.f64 (+.f64 2 beta) (pow.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) 2)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (+.f64 -2 (neg.f64 beta))))))) (fma.f64 4 (*.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) (pow.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 -2 (neg.f64 beta)))) (pow.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) 2)) 2)) (*.f64 2 (*.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) (+.f64 (pow.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 -2 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(+.f64 -2 (neg.f64 beta)))) (pow.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) 2)) (*.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) (*.f64 -2 (+.f64 (*.f64 (+.f64 2 beta) (pow.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) 2)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (+.f64 -2 (neg.f64 beta)))))))) (*.f64 -4 (*.f64 (pow.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) 2) (fma.f64 2 (*.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) 2)) (fma.f64 2 (*.f64 (pow.f64 (+.f64 2 beta) 3) (-.f64 beta (+.f64 -2 (neg.f64 beta)))) (*.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) 2))))))))) (fma.f64 1/108 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) 2) (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 -2 (neg.f64 beta)))) (pow.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) 2))) -12) 3) (pow.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) 2)) (*.f64 1/6 (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 beta (+.f64 -2 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(*.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) (pow.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 -2 (neg.f64 beta)))) (pow.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) 2)) 2)) (*.f64 2 (*.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) (+.f64 (pow.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 -2 (neg.f64 beta)))) (pow.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) 2)) 2) (*.f64 -4 (*.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) (*.f64 -2 (+.f64 (*.f64 (+.f64 2 beta) (pow.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) 2)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (+.f64 -2 (neg.f64 beta))))))))))))) (*.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 beta (+.f64 -2 (neg.f64 beta))))) (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) 2) (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 -2 (neg.f64 beta)))) (pow.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) 2))) -12) 2) (pow.f64 (cbrt.f64 4) 2)))))) -12))))))) (*.f64 (pow.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) 2) (pow.f64 alpha 4))))))) |
(*.f64 -2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(/.f64 (*.f64 -2 (-.f64 (neg.f64 beta) (+.f64 2 beta))) alpha) |
(*.f64 -2 (/.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) alpha)) |
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(pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2))))) (*.f64 (pow.f64 alpha 4) (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2))) (fma.f64 1/3 (*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2) (fma.f64 -2 (*.f64 (+.f64 2 beta) (-.f64 (-.f64 (neg.f64 beta) beta) 2)) (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2))) (/.f64 (*.f64 (*.f64 alpha alpha) (cbrt.f64 4)) -12)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2)))) (fma.f64 -1/12 (/.f64 (+.f64 (fma.f64 2 (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (+.f64 (pow.f64 (fma.f64 -2 (*.f64 (+.f64 2 beta) (-.f64 (-.f64 (neg.f64 beta) beta) 2)) (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2)) 2) (*.f64 -4 (*.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) (fma.f64 -2 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (-.f64 (neg.f64 beta) beta) 2)) (fma.f64 (+.f64 2 beta) (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2) (*.f64 (+.f64 2 beta) (pow.f64 (-.f64 (-.f64 (neg.f64 beta) beta) 2) 2)))))))) (fma.f64 -4 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(pow.f64 (-.f64 1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) 3) |
(pow.f64 (-.f64 1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) 3) |
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(fma.f64 (*.f64 beta beta) (fma.f64 8 (/.f64 (*.f64 (*.f64 alpha alpha) (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))))) (fma.f64 -1 (*.f64 (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (*.f64 -2 (/.f64 alpha (/.f64 (+.f64 alpha 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))))) (pow.f64 (-.f64 1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) 2)) (*.f64 (-.f64 1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 4 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha))) (*.f64 -2 (*.f64 (-.f64 1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (*.f64 -2 (/.f64 alpha (/.f64 (+.f64 alpha 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))))))))))) (fma.f64 beta (*.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (/.f64 (/.f64 (+.f64 alpha 2) alpha) (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))))) 6) (pow.f64 (-.f64 1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) 3))) |
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(+.f64 (pow.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) 3) (fma.f64 (*.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) 2)))) 6) alpha (*.f64 (*.f64 alpha alpha) (fma.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (pow.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) 2)) (fma.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (fma.f64 -2 (*.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))) (*.f64 4 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))))) (*.f64 8 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2)))))))))) |
(+.f64 (pow.f64 (-.f64 1 (*.f64 beta (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) 3) (fma.f64 (/.f64 (*.f64 beta 6) (/.f64 (/.f64 (+.f64 2 beta) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 (-.f64 1 (*.f64 beta (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) 2))) alpha (*.f64 (*.f64 alpha alpha) (fma.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (pow.f64 (-.f64 1 (*.f64 beta (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) 2)) (fma.f64 (-.f64 1 (*.f64 beta (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 -2 (*.f64 (-.f64 1 (*.f64 beta (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))) (*.f64 4 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))))) (*.f64 8 (/.f64 beta (/.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 (-.f64 1 (*.f64 beta (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) beta)))))))) |
(+.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) 3) (+.f64 (*.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 beta (*.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 2))) (*.f64 2 (/.f64 (*.f64 beta (*.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 2)))) alpha) (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (-.f64 1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) 2))) (+.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) (-.f64 1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))))) (*.f64 4 (/.f64 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (pow.f64 (+.f64 beta 2) 2)))) (-.f64 1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 8 (/.f64 (*.f64 (pow.f64 beta 2) (*.f64 (-.f64 1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2))) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2)) (*.f64 (+.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -4 (/.f64 (*.f64 beta (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 2))) (*.f64 -2 (*.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (+.f64 beta 2))) (*.f64 -2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 2)))) (-.f64 1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (+.f64 beta 2))) (*.f64 -2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 2)))) (pow.f64 (-.f64 1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) 2))) (+.f64 (*.f64 -4 (/.f64 (*.f64 beta (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (-.f64 1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 beta 2))) (*.f64 2 (/.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) (-.f64 1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))))) (*.f64 4 (/.f64 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 2)))))) (pow.f64 alpha 3))))) |
(+.f64 (pow.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) 3) (fma.f64 (*.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) 2)))) 6) alpha (fma.f64 (fma.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (pow.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) 2)) (fma.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (fma.f64 -2 (*.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))) (*.f64 4 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))))) (*.f64 8 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))))))) (*.f64 alpha alpha) (*.f64 (pow.f64 alpha 3) (fma.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (fma.f64 -4 (/.f64 beta (/.f64 (+.f64 2 beta) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))))) (*.f64 (*.f64 -2 (*.f64 -2 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (+.f64 2 beta)) (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))))))) (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))))) (fma.f64 -1 (*.f64 (*.f64 -2 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (+.f64 2 beta)) (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))))) (pow.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) 2)) (fma.f64 -4 (/.f64 beta (/.f64 (+.f64 2 beta) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (*.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (/.f64 (*.f64 2 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (fma.f64 -2 (*.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))) (*.f64 4 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2)))))))) (+.f64 2 beta))))))))) |
(+.f64 (pow.f64 (-.f64 1 (*.f64 beta (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) 3) (fma.f64 (/.f64 (*.f64 beta 6) (/.f64 (/.f64 (+.f64 2 beta) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 (-.f64 1 (*.f64 beta (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) 2))) alpha (fma.f64 (fma.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (pow.f64 (-.f64 1 (*.f64 beta (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) 2)) (fma.f64 (-.f64 1 (*.f64 beta (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 -2 (*.f64 (-.f64 1 (*.f64 beta (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))) (*.f64 4 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))))) (*.f64 8 (/.f64 beta (/.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 (-.f64 1 (*.f64 beta (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) beta))))) (*.f64 alpha alpha) (*.f64 (pow.f64 alpha 3) (fma.f64 (-.f64 1 (*.f64 beta (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 -4 (/.f64 beta (/.f64 (+.f64 2 beta) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))))) (*.f64 -2 (*.f64 (-.f64 1 (*.f64 beta (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (*.f64 -2 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (+.f64 2 beta)) (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))))))))) (fma.f64 -1 (*.f64 (*.f64 -2 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (+.f64 2 beta)) (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))))) (pow.f64 (-.f64 1 (*.f64 beta (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) 2)) (fma.f64 -4 (/.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))) (/.f64 (+.f64 2 beta) (*.f64 (-.f64 1 (*.f64 beta (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (*.f64 2 (/.f64 beta (/.f64 (+.f64 2 beta) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (fma.f64 -2 (*.f64 (-.f64 1 (*.f64 beta (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))) (*.f64 4 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2)))))))))))))))) |
(*.f64 8 (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 3) (pow.f64 alpha 3))) |
(*.f64 8 (/.f64 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 3) (pow.f64 alpha 3))) |
(*.f64 8 (/.f64 (pow.f64 (-.f64 beta (+.f64 -2 (neg.f64 beta))) 3) (pow.f64 alpha 3))) |
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(fma.f64 8 (/.f64 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 3) (pow.f64 alpha 3)) (*.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (/.f64 (pow.f64 alpha 4) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2))) -12)) |
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(-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) |
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(pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 3) |
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(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6)) (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4)))) (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) 2)) |
(/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 2) (/.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6)))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 2) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))))) |
(/.f64 (*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) 2) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6))) (*.f64 (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4)))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4)))))) |
(/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 2) (/.f64 (*.f64 (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6)))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 2) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))))) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6)) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4))))) (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) 2) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4)))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 2) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6))) (*.f64 (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4))))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)) (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 2)) 1) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4)) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))) (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) 2)) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 2)) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)) (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 2)) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) |
(/.f64 (*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) 2) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4))) (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))))) |
(/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 2) (/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)) (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)))) (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) 2) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)))) |
(/.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 2) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)) (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 2)) 1) (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6)) (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4)))) (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) 2)) |
(/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 2) (/.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6)))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)) (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 2)) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))))) |
(/.f64 (*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) 2) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6))) (*.f64 (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4)))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4)))))) |
(/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 2) (/.f64 (*.f64 (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6)))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)) (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))))) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6)) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4))))) (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) 2) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4)))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4))))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 2) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6))) (*.f64 (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4))))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)))) |
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 6)) |
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) 6)) |
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 6)) |
(log.f64 (exp.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 3))) |
(pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) 3) |
(pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 3) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 3)))) |
(pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) 3) |
(pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 3) |
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 3) 3)) |
(pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) 3) |
(pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 3) |
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 3))) |
(pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) 3) |
(pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 3) |
(exp.f64 (*.f64 3 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))) |
(pow.f64 (exp.f64 3) (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)))) |
(pow.f64 (exp.f64 3) (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))) |
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) 1)) |
(pow.f64 (exp.f64 3) (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)))) |
(pow.f64 (exp.f64 3) (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))) |
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 3))) |
(pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) 3) |
(pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 3) |
Compiled 84703 to 61919 computations (26.9% saved)
19 alts after pruning (6 fresh and 13 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 888 | 4 | 892 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 13 | 13 |
| Total | 890 | 19 | 909 |
| Status | Error | Program |
|---|---|---|
| 31.6b | (/.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 3) 1/3) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) | |
| 33.4b | (/.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 3) (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)))) 1/3) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2) | |
| 33.5b | (/.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)) (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 2))) 1/3) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2) | |
| ✓ | 31.6b | (/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) |
| ✓ | 47.6b | (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
| 31.6b | (/.f64 (/.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) | |
| ✓ | 50.2b | (/.f64 (/.f64 2 alpha) 2) |
| 42.6b | (/.f64 (-.f64 2 (/.f64 2 beta)) 2) | |
| ✓ | 31.6b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| ✓ | 14.2b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
| ✓ | 14.9b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
| ✓ | 34.1b | (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| ✓ | 42.7b | (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) |
| ✓ | 32.7b | (/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2) |
| ✓ | 47.6b | (/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2) |
| 61.8b | (/.f64 (neg.f64 beta) alpha) | |
| ✓ | 58.8b | (/.f64 beta alpha) |
| ✓ | 38.0b | (/.f64 2 2) |
| ✓ | 31.6b | (/.f64 1 2) |
Compiled 298 to 233 computations (21.8% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
(/.f64 (neg.f64 beta) alpha) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (neg.f64 (/.f64 (*.f64 -2 beta) alpha)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) |
(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2) |
(/.f64 (/.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) |
(/.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 3) 1/3) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) |
(/.f64 (/.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2) |
(/.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 3) 1/3) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2) |
(/.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 3) (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)))) 1/3) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2) |
(/.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)) (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 2))) 1/3) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 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:
| 24.0ms | alpha |
| 15.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 13.0ms | beta |
| 7.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 6.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| Error | Segments | Branch |
|---|---|---|
| 3.1b | 2 | alpha |
| 14.2b | 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 419 to 299 computations (28.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.0 | -0.9984957126512659 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
(/.f64 (neg.f64 beta) alpha) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (neg.f64 (/.f64 (*.f64 -2 beta) alpha)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) |
(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 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:
| 23.0ms | alpha |
| 10.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 3.6b | 2 | alpha |
| 14.9b | 1 | beta |
Compiled 111 to 87 computations (21.6% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 292096949391.9636 | 2.93592572924715e+19 |
| 15.0ms | 144× | body | 256 | valid |
Compiled 236 to 195 computations (17.4% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
(/.f64 (neg.f64 beta) alpha) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (neg.f64 (/.f64 (*.f64 -2 beta) alpha)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
2 calls:
| 21.0ms | alpha |
| 8.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 6.6b | 2 | alpha |
| 14.9b | 1 | beta |
Compiled 78 to 62 computations (20.5% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 292096949391.9636 | 2.93592572924715e+19 |
| 17.0ms | 144× | body | 256 | valid |
Compiled 200 to 168 computations (16% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
(/.f64 (neg.f64 beta) alpha) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
(/.f64 (neg.f64 (/.f64 (*.f64 -2 beta) alpha)) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (-.f64 2 (/.f64 2 beta)) 2) |
2 calls:
| 48.0ms | alpha |
| 24.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 16.9b | 8 | alpha |
| 14.0b | 4 | beta |
Compiled 60 to 48 computations (20% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 0.28999073299940065 | 586356.3849000328 |
| 20.0ms | 2.802698731303144e-216 | 9.94415395757186e-213 |
| 19.0ms | 5.762267238365848e-232 | 2.193643945943197e-227 |
| 33.0ms | 313× | body | 256 | valid |
| 15.0ms | 59× | body | 1024 | valid |
| 6.0ms | 26× | body | 512 | valid |
| 1.0ms | 2× | body | 2048 | valid |
Compiled 488 to 433 computations (11.3% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
(/.f64 (neg.f64 beta) alpha) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) |
(/.f64 2 2) |
2 calls:
| 41.0ms | alpha |
| 22.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 16.9b | 8 | alpha |
| 14.2b | 4 | beta |
Compiled 45 to 36 computations (20% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 0.28999073299940065 | 586356.3849000328 |
| 22.0ms | 2.802698731303144e-216 | 9.94415395757186e-213 |
| 18.0ms | 5.762267238365848e-232 | 2.193643945943197e-227 |
| 34.0ms | 303× | body | 256 | valid |
| 12.0ms | 52× | body | 1024 | valid |
| 9.0ms | 34× | body | 512 | valid |
| 4.0ms | 11× | body | 2048 | valid |
Compiled 452 to 406 computations (10.2% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
(/.f64 (neg.f64 beta) alpha) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2) |
| Outputs |
|---|
(/.f64 1 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 1 2) |
(/.f64 2 2) |
2 calls:
| 41.0ms | alpha |
| 20.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 16.9b | 8 | alpha |
| 14.5b | 4 | beta |
Compiled 38 to 30 computations (21.1% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 0.28999073299940065 | 586356.3849000328 |
| 20.0ms | 2.802698731303144e-216 | 9.94415395757186e-213 |
| 21.0ms | 5.762267238365848e-232 | 2.193643945943197e-227 |
| 32.0ms | 308× | body | 256 | valid |
| 18.0ms | 65× | body | 1024 | valid |
| 4.0ms | 9× | body | 2048 | valid |
| 3.0ms | 18× | body | 512 | valid |
Compiled 352 to 331 computations (6% saved)
Total -47.4b remaining (-306.6%)
Threshold costs -47.4b (-306.6%)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 beta alpha) |
(/.f64 (neg.f64 beta) alpha) |
(/.f64 (+.f64 -1 1) 2) |
| Outputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
2 calls:
| 42.0ms | alpha |
| 9.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 23.2b | 9 | alpha |
| 15.5b | 2 | beta |
Compiled 26 to 20 computations (23.1% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 0.28999073299940065 | 586356.3849000328 |
| 11.0ms | 109× | body | 256 | valid |
| 7.0ms | 27× | body | 1024 | valid |
| 1.0ms | 7× | body | 512 | valid |
| 0.0ms | 1× | body | 2048 | valid |
Compiled 128 to 123 computations (3.9% saved)
| 1× | egg-herbie |
| 22× | +-commutative |
| 8× | sub-neg |
| 8× | *-commutative |
| 4× | neg-mul-1 |
| 4× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 432 |
| 1 | 77 | 432 |
| 2 | 86 | 432 |
| 3 | 90 | 432 |
| 4 | 92 | 432 |
| 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 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)) |
(if (<=.f64 alpha 850000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)) |
(if (<=.f64 alpha 49000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2)) |
(if (<=.f64 beta 2240452849447631/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta 8849353126114041/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2)))) |
(if (<=.f64 beta 2240452849447631/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta 3803669326136737/776259046150354467574489744231251277628443008558348305569526019013025476343188443165439204414323238975243865348565536603085790022057407195722143637520590569602227488010424952775132642815799222412631499596858234375446423426908028928) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2)))) |
(if (<=.f64 beta 2240452849447631/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016) (/.f64 1 2) (if (<=.f64 beta 8538849507653899/388129523075177233787244872115625638814221504279174152784763009506512738171594221582719602207161619487621932674282768301542895011028703597861071818760295284801113744005212476387566321407899611206315749798429117187723211713454014464) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2)))) |
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2)) |
(/.f64 1 2) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -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 850000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)) |
(if (<=.f64 alpha 850000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2)) |
(if (<=.f64 alpha 49000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2)) |
(if (<=.f64 alpha 49000000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2)) |
(if (<=.f64 beta 2240452849447631/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta 8849353126114041/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2)))) |
(if (<=.f64 beta 2240452849447631/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta 8849353126114041/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2)))) |
(if (<=.f64 beta 2240452849447631/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta 3803669326136737/776259046150354467574489744231251277628443008558348305569526019013025476343188443165439204414323238975243865348565536603085790022057407195722143637520590569602227488010424952775132642815799222412631499596858234375446423426908028928) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2)))) |
(if (<=.f64 beta 2240452849447631/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta 3803669326136737/776259046150354467574489744231251277628443008558348305569526019013025476343188443165439204414323238975243865348565536603085790022057407195722143637520590569602227488010424952775132642815799222412631499596858234375446423426908028928) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) 1))) |
(if (<=.f64 beta 2240452849447631/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016) (/.f64 1 2) (if (<=.f64 beta 8538849507653899/388129523075177233787244872115625638814221504279174152784763009506512738171594221582719602207161619487621932674282768301542895011028703597861071818760295284801113744005212476387566321407899611206315749798429117187723211713454014464) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2)))) |
(if (<=.f64 beta 2240452849447631/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016) 1/2 (if (<=.f64 beta 8538849507653899/388129523075177233787244872115625638814221504279174152784763009506512738171594221582719602207161619487621932674282768301542895011028703597861071818760295284801113744005212476387566321407899611206315749798429117187723211713454014464) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) 1/2 1))) |
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2)) |
(if (<=.f64 beta 2) 1/2 1) |
(/.f64 1 2) |
1/2 |
Compiled 187 to 148 computations (20.9% saved)
| 1× | egg-herbie |
| 982× | associate-/l* |
| 722× | fma-def |
| 710× | distribute-lft-in |
| 708× | associate-+l- |
| 618× | associate--l- |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 37 |
| 1 | 25 | 37 |
| 2 | 41 | 37 |
| 3 | 69 | 37 |
| 4 | 117 | 37 |
| 5 | 255 | 33 |
| 6 | 463 | 33 |
| 7 | 845 | 33 |
| 8 | 1720 | 33 |
| 9 | 3940 | 33 |
| 1× | node limit |
Compiled 28 to 19 computations (32.1% saved)
Compiled 173 to 134 computations (22.5% saved)
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