Time bar (total: 17.2s)
| 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)
| 912.0ms | 6415× | body | 256 | valid |
| 302.0ms | 1082× | body | 1024 | valid |
| 155.0ms | 655× | body | 512 | valid |
| 40.0ms | 104× | body | 2048 | valid |
| 2× | egg-herbie |
| 954× | fma-neg_binary64 |
| 548× | div-sub_binary64 |
| 439× | sub-neg_binary64 |
| 372× | times-frac_binary64 |
| 269× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 38 |
| 1 | 39 | 38 |
| 2 | 64 | 38 |
| 3 | 109 | 38 |
| 4 | 203 | 38 |
| 5 | 404 | 34 |
| 6 | 861 | 34 |
| 7 | 2067 | 34 |
| 8 | 5489 | 34 |
| 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 alpha (+.f64 beta 2))) 1) 2) |
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 2 (+.f64 beta alpha) 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 alpha (+.f64 beta 2)))) 2) |
(-.f64 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) 2) -1/2) |
(+.f64 1/2 (/.f64 (-.f64 alpha beta) (fma.f64 2 (+.f64 beta alpha) 4))) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1/2 1/2) |
Compiled 17 to 13 computations (23.5% saved)
| 1× | egg-herbie |
| 496× | sub-neg_binary64 |
| 434× | cancel-sign-sub-inv_binary64 |
| 399× | associate-/l*_binary64 |
| 372× | div-sub_binary64 |
| 352× | distribute-rgt-in_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 19 |
| 1 | 23 | 19 |
| 2 | 40 | 19 |
| 3 | 67 | 19 |
| 4 | 119 | 19 |
| 5 | 240 | 17 |
| 6 | 449 | 17 |
| 7 | 756 | 17 |
| 8 | 1582 | 17 |
| 9 | 3687 | 17 |
| 10 | 7455 | 17 |
| 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 alpha (+.f64 beta 2))) 1) 2) |
(-.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1/2) |
(+.f64 1/2 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) 2 4))) |
(fma.f64 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))) -1/2 1/2) |
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) -1/2 1/2) |
Compiled 77 to 49 computations (36.4% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 5 | 1 | 6 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 5 | 2 | 7 |
| Status | Error | Program |
|---|---|---|
| ▶ | 16.3b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 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 alpha beta) 2)) |
| ✓ | 1.3b | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 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 alpha beta) 2)) 1) |
| 1.0ms | beta | @ | 0 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 1.0ms | alpha | @ | inf | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 1.0ms | alpha | @ | -inf | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 1.0ms | beta | @ | 0 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 1× | batch-egg-rewrite |
| 585× | fma-def_binary64 |
| 578× | log-prod_binary64 |
| 369× | fma-neg_binary64 |
| 328× | pow2_binary64 |
| 224× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 29 |
| 1 | 243 | 29 |
| 2 | 3788 | 29 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| Outputs |
|---|
((#(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 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1)))) (#(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 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 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(#(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 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (neg.f64 (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) 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| 1× | egg-herbie |
| 736× | fma-neg_binary64 |
| 426× | unswap-sqr_binary64 |
| 320× | sub-neg_binary64 |
| 262× | fma-def_binary64 |
| 229× | +-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 477 | 5450 |
| 1 | 1351 | 5259 |
| 2 | 4845 | 5165 |
| 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)) |
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(*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) |
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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)))) |
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(/.f64 beta (+.f64 beta 2)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))) |
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-1 |
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
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-1 |
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(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1) |
(-.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))) |
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(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (neg.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.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 (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 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.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 (-.f64 beta alpha) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) |
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1) |
(pow.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 1) -1) |
(neg.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 beta (+.f64 alpha 2))))) |
(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))))) |
(expm1.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)) |
(log1p.f64 (expm1.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)) |
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) -1) |
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1 -1) |
(fma.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) -1) |
(fma.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)) -1) |
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1) |
(fma.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)))))) -1) |
(fma.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)) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 beta beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 beta (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (/.f64 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 1 (/.f64 alpha (+.f64 alpha 2))) (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (*.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) 1)) (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 2))) (-.f64 (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) 1) (/.f64 alpha (+.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
(+.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) (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) |
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (fma.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (-.f64 (-.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))) |
(+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (+.f64 (-.f64 (/.f64 alpha (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (pow.f64 (/.f64 (+.f64 alpha 2) 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 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 alpha beta)) (/.f64 2 beta)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (*.f64 (/.f64 (+.f64 alpha 2) beta) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 (/.f64 (-.f64 -2 alpha) (/.f64 (*.f64 beta beta) (-.f64 (-.f64 -2 alpha) alpha))) (-.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (/.f64 alpha beta)) (/.f64 2 beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (+.f64 (-.f64 (-.f64 2 (/.f64 alpha beta)) (*.f64 (/.f64 (+.f64 alpha 2) beta) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (fma.f64 alpha -1 -2) alpha)))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(+.f64 (/.f64 (-.f64 -2 alpha) (/.f64 (*.f64 beta beta) (-.f64 (-.f64 -2 alpha) alpha))) (+.f64 (-.f64 2 (/.f64 alpha beta)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (-.f64 -2 alpha) alpha))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (/.f64 beta (+.f64 2 beta))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta)))) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 2 beta)) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))))) |
(+.f64 1 (-.f64 (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) |
(+.f64 (*.f64 -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)))))) |
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1 |
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1 |
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(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha beta) 2))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) 2))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (neg.f64 alpha) (+.f64 2 (+.f64 alpha beta)))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (-.f64 alpha (-.f64 -2 beta)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (-.f64 alpha (-.f64 -2 beta)))) (/.f64 (neg.f64 alpha) (-.f64 alpha (-.f64 -2 beta)))) |
(fma.f64 (/.f64 beta (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 4) (*.f64 (+.f64 beta alpha) 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 beta (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) 2))) |
(-.f64 (*.f64 (+.f64 4 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 2 (+.f64 alpha beta)))) (/.f64 beta (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) |
(-.f64 (*.f64 (+.f64 4 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (+.f64 alpha beta) -2))) (/.f64 beta (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (/.f64 alpha (-.f64 alpha (-.f64 -2 beta)))) |
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 beta (+.f64 alpha -2)) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha beta) 2))) |
(-.f64 (*.f64 (+.f64 alpha (+.f64 -2 beta)) (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (/.f64 alpha (+.f64 2 (+.f64 alpha beta)))) |
(-.f64 (*.f64 (+.f64 alpha (+.f64 beta -2)) (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (/.f64 alpha (-.f64 alpha (-.f64 -2 beta)))) |
Compiled 11718 to 7763 computations (33.8% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 374 | 16 | 390 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 374 | 17 | 391 |
| Status | Error | Program |
|---|---|---|
| 46.3b | (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) | |
| 16.5b | (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2) | |
| ▶ | 32.4b | (/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta)))) 2) |
| ▶ | 45.4b | (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
| 16.3b | (/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2) (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta))))) 2) | |
| 47.3b | (/.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))) 2) | |
| 31.3b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) | |
| 47.1b | (/.f64 (+.f64 (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2) (*.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha))) (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha))) 2) | |
| 48.5b | (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))))) 2) | |
| ✓ | 16.3b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 17.4b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) | |
| 45.6b | (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) | |
| 61.7b | (/.f64 (+.f64 -1 1) 2) | |
| ▶ | 16.3b | (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))))) 2) |
| 16.3b | (/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2) | |
| ▶ | 16.3b | (/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))))) 2) |
| ▶ | 40.8b | (/.f64 2 2) |
Compiled 779 to 557 computations (28.5% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) |
| ✓ | 0.1b | (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))))) |
| ✓ | 1.3b | (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))) |
Compiled 60 to 33 computations (45% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | alpha | @ | inf | (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))))) |
| 2.0ms | beta | @ | 0 | (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))))) |
| 2.0ms | beta | @ | 0 | (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))) |
| 2.0ms | beta | @ | inf | (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))))) |
| 2.0ms | alpha | @ | -inf | (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))) |
| 1× | batch-egg-rewrite |
| 607× | log-prod_binary64 |
| 443× | fma-def_binary64 |
| 335× | pow2_binary64 |
| 242× | fma-neg_binary64 |
| 231× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 45 |
| 1 | 236 | 44 |
| 2 | 3644 | 44 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))))) |
(/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (*.f64 1/2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (*.f64 1/3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (*.f64 2 (*.f64 1/3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (log.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 1/3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1)))) (#(struct:change #<rule 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| 1× | egg-herbie |
| 561× | fma-def_binary64 |
| 412× | distribute-rgt-in_binary64 |
| 404× | distribute-lft-in_binary64 |
| 381× | associate-*r*_binary64 |
| 344× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 716 | 9401 |
| 1 | 2219 | 8747 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) |
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(log.f64 2) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (log.f64 2)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))))) (pow.f64 beta 2))))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (log.f64 2) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 3)) (+.f64 (*.f64 3/2 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 3 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))))) (pow.f64 beta 3))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))))) (pow.f64 beta 2)))))) |
(log.f64 2) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (log.f64 2)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)))) (pow.f64 beta 2))))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 -3/2 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (+.f64 (*.f64 -3 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 -1/4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 3)))) (pow.f64 beta 3))) (+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)))) (pow.f64 beta 2)))))) |
(log.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (log.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) |
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(+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2)))))) |
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(+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha))) |
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(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 6 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -6 (pow.f64 (+.f64 beta 2) 3)) (*.f64 2 (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 3))) (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha)))))) |
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) |
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(+.f64 1 (+.f64 (*.f64 (pow.f64 beta 3) (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 2))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))))))) (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))))) 3)) (*.f64 1/6 (+.f64 (*.f64 6 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (*.f64 -6 (/.f64 (*.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)))) (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 2))) (*.f64 2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 3) (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 3)))))))))) (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (*.f64 beta (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))))))) (*.f64 (pow.f64 beta 2) (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 2))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))))) (*.f64 1/2 (pow.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))))) 2))))))))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 2 (/.f64 (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))))) (*.f64 1/8 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (pow.f64 beta 2))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 1/4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 3)) (+.f64 (*.f64 3/2 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 3 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))))))) (+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))))) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 1/48 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 3)))) (pow.f64 beta 3))) (+.f64 2 (*.f64 2 (/.f64 (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))))) (*.f64 1/8 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (pow.f64 beta 2)))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 2 (/.f64 (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))))) (*.f64 1/8 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (pow.f64 beta 2))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))))) (*.f64 1/8 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (pow.f64 beta 2))) (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/48 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 3)) (+.f64 (*.f64 1/6 (+.f64 (*.f64 -3 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (+.f64 (*.f64 -3/2 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 -1/4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 3))))) (*.f64 -1/4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 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 beta (+.f64 beta 2)) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) (*.f64 1/2 (+.f64 (*.f64 2 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 -6 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 3) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3))) (*.f64 6 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2))))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 2 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1/6 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 3) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3))))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) (*.f64 1/2 (+.f64 (*.f64 2 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))))) |
(exp.f64 (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2)))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (exp.f64 (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))))) alpha)) (exp.f64 (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 1/2 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))))) (exp.f64 (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))))) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (exp.f64 (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))))) alpha)) (exp.f64 (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2)))))))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 1/2 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))))) (exp.f64 (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))))) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (exp.f64 (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 6 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -2 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -6 (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (*.f64 -1/6 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2))))) (exp.f64 (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))))) (pow.f64 alpha 3)) (exp.f64 (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))))))) |
(exp.f64 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha)))) (+.f64 beta 2)) alpha)) (exp.f64 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha)))) (+.f64 beta 2)) alpha)) (+.f64 (/.f64 (*.f64 (exp.f64 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha)))) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 1/2 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 2)) (exp.f64 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha)))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha)))) (+.f64 beta 2)) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 1/2 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))))) (exp.f64 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha))))) (pow.f64 alpha 2)) (+.f64 (exp.f64 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 1/6 (+.f64 (*.f64 6 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -6 (pow.f64 (+.f64 beta 2) 3)) (*.f64 2 (pow.f64 (+.f64 beta 2) 3))))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2))))) (exp.f64 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha))))) (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 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 0) |
(+.f64 (*.f64 1/2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (*.f64 1/2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (*.f64 1/3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(+.f64 (*.f64 1/3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (*.f64 2 (*.f64 1/3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(+.f64 0 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(-.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1) |
(-.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) (log.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(*.f64 1 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(*.f64 3 (*.f64 1/3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(*.f64 2 (*.f64 1/2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(*.f64 1/3 (*.f64 3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) 1/2) |
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3) |
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3) |
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) |
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) |
(log.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(exp.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1)) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 0 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1) |
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1) |
(*.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))) |
(*.f64 (cbrt.f64 (pow.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 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) |
(*.f64 (pow.f64 (exp.f64 1) (*.f64 1/2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (pow.f64 (exp.f64 1) (*.f64 1/2 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(*.f64 (pow.f64 (exp.f64 1) (*.f64 2 (*.f64 1/3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (pow.f64 (exp.f64 1) (*.f64 1/3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1) |
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2) 1/2) |
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(pow.f64 (exp.f64 1) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(pow.f64 (pow.f64 (exp.f64 1) 1) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) 1) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) |
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(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 (log1p.f64 (+.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 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1 1) |
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) |
(fma.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) 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) |
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.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 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (neg.f64 (+.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) |
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) 1) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) 1) |
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) |
(fma.f64 (/.f64 (cbrt.f64 (pow.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)))) 1) |
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (pow.f64 alpha 3) (pow.f64 (-.f64 -2 beta) 3))) (fma.f64 (-.f64 -2 beta) (+.f64 alpha (-.f64 -2 beta)) (*.f64 alpha alpha)) 1) |
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 alpha alpha) (pow.f64 (-.f64 -2 beta) 2))) (+.f64 alpha (-.f64 -2 beta)) 1) |
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(+.f64 0 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.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 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 (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 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (neg.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.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 (-.f64 beta alpha) (-.f64 (pow.f64 alpha 3) (pow.f64 (-.f64 -2 beta) 3))) (fma.f64 (-.f64 -2 beta) (+.f64 alpha (-.f64 -2 beta)) (*.f64 alpha alpha))) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 alpha alpha) (pow.f64 (-.f64 -2 beta) 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 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) |
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1) |
(pow.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) 1/3) |
(pow.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 1) -1) |
(neg.f64 (/.f64 (-.f64 beta alpha) (neg.f64 (+.f64 beta (+.f64 alpha 2))))) |
(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)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(log1p.f64 (expm1.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)) |
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1 -1) |
(fma.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) -1) |
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (cbrt.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) 2)) -1) |
(fma.f64 (cbrt.f64 (pow.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)) -1) |
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 beta (-.f64 (pow.f64 alpha 3) (pow.f64 (-.f64 -2 beta) 3))) (fma.f64 (-.f64 -2 beta) (+.f64 alpha (-.f64 -2 beta)) (*.f64 alpha alpha)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 beta (-.f64 (*.f64 alpha alpha) (pow.f64 (-.f64 -2 beta) 2))) (+.f64 alpha (-.f64 -2 beta)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
| Outputs |
|---|
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) |
(log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))))) (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) |
(fma.f64 beta (-.f64 (/.f64 (/.f64 1 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (*.f64 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2)))) (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) |
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) (*.f64 1/2 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 2))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))))))))) |
(+.f64 (fma.f64 beta (-.f64 (/.f64 (/.f64 1 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (*.f64 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2)))) (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (*.f64 1/2 (*.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 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 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))))))) |
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (fma.f64 1/2 (*.f64 beta (*.f64 beta (-.f64 (*.f64 2 (/.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))))) (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (*.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (log.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 2))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))))))) (*.f64 1/6 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 6 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) (+.f64 (*.f64 -6 (/.f64 (*.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)))) (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 2))) (*.f64 2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 3) (pow.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) 3)))))))))) |
(+.f64 (fma.f64 beta (-.f64 (/.f64 (/.f64 1 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (*.f64 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2)))) (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (fma.f64 1/2 (*.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 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 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))))) (*.f64 1/6 (*.f64 (pow.f64 beta 3) (fma.f64 6 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (fma.f64 -6 (/.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (*.f64 2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 3) (pow.f64 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) 3))))))))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (fma.f64 1/2 (*.f64 beta (*.f64 beta (-.f64 (*.f64 2 (/.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))))) (*.f64 (fma.f64 6 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (fma.f64 2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)) (*.f64 -6 (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))))))) (*.f64 (pow.f64 beta 3) 1/6)))) |
(log.f64 2) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (log.f64 2)) |
(fma.f64 1/2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) (log.f64 2)) |
(fma.f64 1/2 (/.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) beta) (log.f64 2)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))))) (pow.f64 beta 2))))) |
(+.f64 (fma.f64 1/2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) (log.f64 2)) (*.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (neg.f64 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (*.f64 beta beta)))) |
(fma.f64 1/2 (/.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) beta) (fma.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) 2) (*.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) (fma.f64 -1 alpha -2))) (*.f64 beta beta)) (log.f64 2))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (log.f64 2) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 3)) (+.f64 (*.f64 3/2 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 3 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))))) (pow.f64 beta 3))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))))) (pow.f64 beta 2)))))) |
(+.f64 (fma.f64 1/2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) (log.f64 2)) (fma.f64 1/6 (/.f64 (fma.f64 1/4 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3) (fma.f64 3/2 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 3 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (pow.f64 beta 3)) (*.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (neg.f64 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (*.f64 beta beta))))) |
(+.f64 (fma.f64 1/2 (/.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) beta) (log.f64 2)) (fma.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) 2) (*.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) (fma.f64 -1 alpha -2))) (*.f64 beta beta)) (/.f64 1/6 (/.f64 (pow.f64 beta 3) (fma.f64 1/4 (pow.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) 3) (fma.f64 3 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (fma.f64 -1 alpha -2) alpha)) (*.f64 (pow.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) 2) (*.f64 (+.f64 alpha 2) 3/2)))))))) |
(log.f64 2) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (log.f64 2)) |
(fma.f64 1/2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) (log.f64 2)) |
(fma.f64 1/2 (/.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) beta) (log.f64 2)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)))) (pow.f64 beta 2))))) |
(+.f64 (fma.f64 1/2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) (log.f64 2)) (*.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (neg.f64 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (*.f64 beta beta)))) |
(fma.f64 1/2 (/.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) beta) (fma.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) 2) (*.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) (fma.f64 -1 alpha -2))) (*.f64 beta beta)) (log.f64 2))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 -3/2 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (+.f64 (*.f64 -3 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 -1/4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 3)))) (pow.f64 beta 3))) (+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)))) (pow.f64 beta 2)))))) |
(fma.f64 1/2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) (fma.f64 -1/6 (/.f64 (fma.f64 -3/2 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (fma.f64 -3 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (*.f64 -1/4 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3)))) (pow.f64 beta 3)) (+.f64 (log.f64 2) (*.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (neg.f64 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (*.f64 beta beta)))))) |
(fma.f64 1/2 (/.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) beta) (fma.f64 -1/6 (/.f64 (fma.f64 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) 2)) -3/2 (fma.f64 -1/4 (pow.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) 3) (*.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (fma.f64 -1 alpha -2) alpha)) -3))) (pow.f64 beta 3)) (fma.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) 2) (*.f64 (-.f64 (fma.f64 -1 alpha -2) alpha) (fma.f64 -1 alpha -2))) (*.f64 beta beta)) (log.f64 2)))) |
(log.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) |
(log1p.f64 (/.f64 beta (+.f64 2 beta))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (log.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) |
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) alpha)) (log1p.f64 (/.f64 beta (+.f64 2 beta)))) |
(-.f64 (log1p.f64 (/.f64 beta (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 1 (/.f64 beta (+.f64 2 beta)))) alpha)) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 alpha 2) (+.f64 (*.f64 2 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (log.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) |
(fma.f64 1/2 (*.f64 (*.f64 alpha alpha) (fma.f64 2 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 (+.f64 2 beta) (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) alpha)) (log1p.f64 (/.f64 beta (+.f64 2 beta))))) |
(fma.f64 1/2 (*.f64 (*.f64 alpha alpha) (-.f64 (*.f64 (/.f64 2 (+.f64 2 beta)) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))) (-.f64 (log1p.f64 (/.f64 beta (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 1 (/.f64 beta (+.f64 2 beta)))) alpha))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 alpha 2) (+.f64 (*.f64 2 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -6 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 3) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3))) (*.f64 6 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 beta 2)))))))) (log.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))))) |
(fma.f64 1/2 (*.f64 (*.f64 alpha alpha) (fma.f64 2 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 (+.f64 2 beta) (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) alpha)) (fma.f64 1/6 (*.f64 (pow.f64 alpha 3) (fma.f64 -6 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (fma.f64 -2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 3) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3)) (*.f64 6 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 (+.f64 2 beta) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))))))) (log1p.f64 (/.f64 beta (+.f64 2 beta)))))) |
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(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
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2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (-.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
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2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))) |
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (-.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
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(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (/.f64 beta (+.f64 2 beta))) |
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(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta)))) |
(+.f64 1 (-.f64 (/.f64 beta (+.f64 2 beta)) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))) (*.f64 1/2 (+.f64 (*.f64 2 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))))) |
(+.f64 1 (+.f64 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))) (*.f64 (*.f64 1/2 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)) (fma.f64 2 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 (+.f64 2 beta) (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) |
(+.f64 (-.f64 1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (fma.f64 (*.f64 1/2 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)) (-.f64 (*.f64 (/.f64 2 (+.f64 2 beta)) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))))) (*.f64 alpha (*.f64 alpha (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (/.f64 beta (+.f64 2 beta)))) |
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(fma.f64 (fma.f64 1/6 (fma.f64 -6 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (fma.f64 -2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 3) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3)) (*.f64 6 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 (+.f64 2 beta) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))))) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (fma.f64 2 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 (+.f64 2 beta) (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))))) (*.f64 -1/6 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 3) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3))))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (pow.f64 alpha 3)) (+.f64 1 (+.f64 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))) (*.f64 (*.f64 1/2 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)) (fma.f64 2 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 (+.f64 2 beta) (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))))) |
(fma.f64 (fma.f64 1/6 (fma.f64 -6 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (fma.f64 6 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 (+.f64 2 beta) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 3) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3))))) (fma.f64 -1/6 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 3) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3)) (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (-.f64 (*.f64 (/.f64 2 (+.f64 2 beta)) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))))))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (pow.f64 alpha 3)) (+.f64 (-.f64 1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (fma.f64 (*.f64 1/2 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)) (-.f64 (*.f64 (/.f64 2 (+.f64 2 beta)) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))))) (*.f64 alpha (*.f64 alpha (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (/.f64 beta (+.f64 2 beta))))) |
(exp.f64 (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2)))))) |
(exp.f64 (+.f64 (neg.f64 (log.f64 alpha)) (log.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2))))) |
(*.f64 (+.f64 beta (+.f64 2 beta)) (/.f64 1 alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (exp.f64 (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))))) alpha)) (exp.f64 (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))))) |
(fma.f64 -1 (/.f64 (+.f64 2 beta) (/.f64 alpha (exp.f64 (+.f64 (neg.f64 (log.f64 alpha)) (log.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2))))))) (exp.f64 (+.f64 (neg.f64 (log.f64 alpha)) (log.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)))))) |
(fma.f64 (/.f64 1 alpha) (+.f64 beta (+.f64 2 beta)) (/.f64 (-.f64 -2 beta) (/.f64 (/.f64 alpha (/.f64 1 alpha)) (+.f64 beta (+.f64 2 beta))))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 1/2 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))))) (exp.f64 (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))))) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (exp.f64 (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))))) alpha)) (exp.f64 (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2)))))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 beta) (/.f64 alpha (exp.f64 (+.f64 (neg.f64 (log.f64 alpha)) (log.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2))))))) (exp.f64 (+.f64 (neg.f64 (log.f64 alpha)) (log.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)))))) (/.f64 (*.f64 1/2 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 (pow.f64 (+.f64 2 beta) 2) 1))) (/.f64 (*.f64 alpha alpha) (exp.f64 (+.f64 (neg.f64 (log.f64 alpha)) (log.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)))))))) |
(+.f64 (fma.f64 (/.f64 1 alpha) (+.f64 beta (+.f64 2 beta)) (/.f64 (-.f64 -2 beta) (/.f64 (/.f64 alpha (/.f64 1 alpha)) (+.f64 beta (+.f64 2 beta))))) (/.f64 (*.f64 1/2 (+.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (/.f64 alpha (/.f64 1 alpha)) (/.f64 alpha (+.f64 beta (+.f64 2 beta)))))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 1/2 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))))) (exp.f64 (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))))) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (exp.f64 (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 6 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -2 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -6 (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (*.f64 -1/6 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2))))) (exp.f64 (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))))) (pow.f64 alpha 3)) (exp.f64 (+.f64 (log.f64 (/.f64 1 alpha)) (log.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))))))) |
(+.f64 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 (pow.f64 (+.f64 2 beta) 2) 1))) (/.f64 (*.f64 alpha alpha) (exp.f64 (+.f64 (neg.f64 (log.f64 alpha)) (log.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2))))))) (fma.f64 -1 (/.f64 (+.f64 2 beta) (/.f64 alpha (exp.f64 (+.f64 (neg.f64 (log.f64 alpha)) (log.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2))))))) (+.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 alpha)) (log.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2))))) (/.f64 (fma.f64 1/6 (fma.f64 6 (pow.f64 (+.f64 2 beta) 3) (*.f64 (pow.f64 (+.f64 2 beta) 3) -8)) (fma.f64 -1/6 (pow.f64 (+.f64 2 beta) 3) (*.f64 -1/2 (*.f64 (+.f64 2 beta) (*.f64 (pow.f64 (+.f64 2 beta) 2) 1))))) (/.f64 (pow.f64 alpha 3) (exp.f64 (+.f64 (neg.f64 (log.f64 alpha)) (log.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)))))))))) |
(+.f64 (+.f64 (/.f64 (*.f64 1/2 (+.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (/.f64 alpha (/.f64 1 alpha)) (/.f64 alpha (+.f64 beta (+.f64 2 beta))))) (/.f64 (-.f64 -2 beta) (/.f64 (/.f64 alpha (/.f64 1 alpha)) (+.f64 beta (+.f64 2 beta))))) (fma.f64 (/.f64 1 alpha) (+.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 (+.f64 beta (+.f64 2 beta)) (/.f64 1 alpha)) (/.f64 (pow.f64 alpha 3) (fma.f64 1/6 (*.f64 (pow.f64 (+.f64 2 beta) 3) -2) (fma.f64 -1/6 (pow.f64 (+.f64 2 beta) 3) (*.f64 (pow.f64 (+.f64 2 beta) 3) -1/2))))))) |
(exp.f64 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha)))) |
(exp.f64 (+.f64 (log.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta))) (log.f64 (/.f64 -1 alpha)))) |
(*.f64 (fma.f64 -1 beta (-.f64 -2 beta)) (/.f64 -1 alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha)))) (+.f64 beta 2)) alpha)) (exp.f64 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha))))) |
(fma.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta))) (log.f64 (/.f64 -1 alpha)))) (/.f64 alpha (+.f64 2 beta))) (exp.f64 (+.f64 (log.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta))) (log.f64 (/.f64 -1 alpha))))) |
(fma.f64 (fma.f64 -1 beta (-.f64 -2 beta)) (/.f64 -1 alpha) (/.f64 (*.f64 (-.f64 -2 beta) (*.f64 (fma.f64 -1 beta (-.f64 -2 beta)) (/.f64 -1 alpha))) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha)))) (+.f64 beta 2)) alpha)) (+.f64 (/.f64 (*.f64 (exp.f64 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha)))) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 1/2 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 2)) (exp.f64 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha)))))) |
(fma.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta))) (log.f64 (/.f64 -1 alpha)))) (/.f64 alpha (+.f64 2 beta))) (+.f64 (exp.f64 (+.f64 (log.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta))) (log.f64 (/.f64 -1 alpha)))) (/.f64 (exp.f64 (+.f64 (log.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta))) (log.f64 (/.f64 -1 alpha)))) (/.f64 (*.f64 alpha alpha) (*.f64 1/2 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 (pow.f64 (+.f64 2 beta) 2) 1))))))) |
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(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha)))) (+.f64 beta 2)) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 1/2 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))))) (exp.f64 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha))))) (pow.f64 alpha 2)) (+.f64 (exp.f64 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 1/6 (+.f64 (*.f64 6 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -6 (pow.f64 (+.f64 beta 2) 3)) (*.f64 2 (pow.f64 (+.f64 beta 2) 3))))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2))))) (exp.f64 (+.f64 (log.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (log.f64 (/.f64 -1 alpha))))) (pow.f64 alpha 3)))))) |
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1 |
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(-.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
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1 |
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(/.f64 beta (+.f64 beta 2)) |
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-1 |
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-1 |
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(fma.f64 -1 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) -1) |
(fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) -1) |
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(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
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(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
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(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
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(log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
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(*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
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(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(fma.f64 (cbrt.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) 2)) -1) |
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2)) -1) |
(fma.f64 (cbrt.f64 (pow.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)) -1) |
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 2)) -1) |
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (cbrt.f64 beta) (+.f64 (+.f64 alpha 2) beta)) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta))) |
(-.f64 (*.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (cbrt.f64 beta) (+.f64 (+.f64 alpha 2) beta))) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) |
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (sqrt.f64 beta) (/.f64 (sqrt.f64 beta) (+.f64 (+.f64 alpha 2) beta)) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta))) |
(-.f64 (*.f64 (sqrt.f64 beta) (/.f64 (sqrt.f64 beta) (+.f64 (+.f64 alpha 2) beta))) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) |
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2))) (/.f64 beta (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta))) |
(-.f64 (/.f64 (*.f64 1 (/.f64 beta (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2))) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2))) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta))) |
(-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2))) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)))) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2))) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta))) |
(-.f64 (/.f64 (*.f64 (sqrt.f64 beta) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2))) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) |
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 beta (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta))) |
(-.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 beta (sqrt.f64 (+.f64 (+.f64 alpha 2) beta)))) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta))) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta)))) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) |
(fma.f64 (/.f64 beta (-.f64 (pow.f64 alpha 3) (pow.f64 (-.f64 -2 beta) 3))) (fma.f64 (-.f64 -2 beta) (+.f64 alpha (-.f64 -2 beta)) (*.f64 alpha alpha)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 beta (-.f64 (pow.f64 alpha 3) (pow.f64 (-.f64 -2 beta) 3))) (fma.f64 (-.f64 -2 beta) (+.f64 alpha (-.f64 -2 beta)) (*.f64 alpha alpha)) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta))) |
(-.f64 (*.f64 (/.f64 beta (-.f64 (pow.f64 alpha 3) (pow.f64 (-.f64 -2 beta) 3))) (fma.f64 (-.f64 -2 beta) (-.f64 -2 (-.f64 beta alpha)) (*.f64 alpha alpha))) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) |
(fma.f64 (/.f64 beta (-.f64 (*.f64 alpha alpha) (pow.f64 (-.f64 -2 beta) 2))) (+.f64 alpha (-.f64 -2 beta)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) |
(fma.f64 (/.f64 beta (-.f64 (*.f64 alpha alpha) (pow.f64 (-.f64 -2 beta) 2))) (+.f64 alpha (-.f64 -2 beta)) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta))) |
(-.f64 (/.f64 (*.f64 beta (-.f64 -2 (-.f64 beta alpha))) (fma.f64 alpha alpha (neg.f64 (pow.f64 (+.f64 2 beta) 2)))) (/.f64 alpha (+.f64 (+.f64 alpha 2) beta))) |
Compiled 6 to 6 computations (0% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
Compiled 29 to 14 computations (51.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | alpha | @ | inf | (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
| 1.0ms | alpha | @ | 0 | (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
| 1.0ms | beta | @ | 0 | (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
| 1.0ms | beta | @ | inf | (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
| 0.0ms | alpha | @ | -inf | (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
| 1× | batch-egg-rewrite |
| 908× | pow1_binary64 |
| 853× | add-log-exp_binary64 |
| 851× | log1p-expm1-u_binary64 |
| 851× | expm1-log1p-u_binary64 |
| 838× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 165 | 8 |
| 2 | 2487 | 8 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (+.f64 beta beta) 2) alpha) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.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 (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 (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 (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 (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 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 (neg.f64 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 (/.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 (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 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 (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 *.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 1 (sqrt.f64 alpha)) (/.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) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 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 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3)))) (#(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 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)))) (#(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 cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 beta 2) 3) (pow.f64 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 log1p.f64 (expm1.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))))))) |
| 1× | egg-herbie |
| 489× | fma-def_binary64 |
| 405× | log-prod_binary64 |
| 373× | log-div_binary64 |
| 222× | associate-/l*_binary64 |
| 209× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 609 |
| 1 | 215 | 609 |
| 2 | 742 | 456 |
| 3 | 3802 | 456 |
| 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 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(-.f64 (+.f64 1 (/.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 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.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 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(*.f64 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 (neg.f64 alpha))) |
(*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha)) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.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 (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 (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 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 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))) |
(pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) |
(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))) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 beta 2) 3) (pow.f64 alpha 3))) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))) |
(exp.f64 (log.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 (/.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 (/.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 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(-.f64 (+.f64 1 (/.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 (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 (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 (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 (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 (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 alpha) (fma.f64 2 beta 2)) |
(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) 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 (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 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.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 (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))) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 (/.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))) |
(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 (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) |
(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 (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 (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 (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 (/.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) |
(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) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 beta 2) 3) (pow.f64 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) |
(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) |
(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) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2) |
| ✓ | 0.0b | (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta)))) |
| ✓ | 1.6b | (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta))) |
| ✓ | 2.9b | (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) |
Compiled 131 to 76 computations (42% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | beta | @ | inf | (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta)))) |
| 3.0ms | beta | @ | 0 | (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta)))) |
| 3.0ms | alpha | @ | -inf | (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) |
| 3.0ms | alpha | @ | 0 | (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta)))) |
| 2.0ms | alpha | @ | -inf | (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta)))) |
| 1× | batch-egg-rewrite |
| 397× | expm1-udef_binary64 |
| 396× | log1p-udef_binary64 |
| 230× | add-sqr-sqrt_binary64 |
| 225× | pow1_binary64 |
| 224× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 88 |
| 1 | 431 | 88 |
| 2 | 6972 | 88 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta)))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 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beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 (neg.f64 (-.f64 alpha (-.f64 -2 beta))) (-.f64 alpha (-.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 beta alpha) (neg.f64 (-.f64 beta alpha))) (*.f64 (-.f64 alpha (-.f64 -2 beta)) (neg.f64 (-.f64 alpha (-.f64 -2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))) (-.f64 alpha (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))) (neg.f64 (-.f64 alpha (-.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) (-.f64 beta alpha)) (-.f64 alpha (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) (neg.f64 (-.f64 beta alpha))) (neg.f64 (-.f64 alpha (-.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))))) 1)))))) |
| 1× | egg-herbie |
| 826× | fma-def_binary64 |
| 642× | times-frac_binary64 |
| 425× | distribute-rgt-in_binary64 |
| 277× | *-commutative_binary64 |
| 251× | +-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1012 | 15760 |
| 1 | 3479 | 14487 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha)))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha)))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) alpha) (+.f64 2 alpha))) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(/.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 -2 alpha)) beta) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 4 (/.f64 1 beta)))) (*.f64 -2 (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 4 (/.f64 1 beta)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -2 (*.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (+.f64 2 alpha)))) (pow.f64 beta 3)))))) (*.f64 -2 (/.f64 alpha beta))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 4 (/.f64 1 beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -2 (*.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (+.f64 2 alpha)))) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)))) (pow.f64 beta 4))))))) (*.f64 -2 (/.f64 alpha beta))) |
(*.f64 -2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 2))) (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (*.f64 2 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (+.f64 2 alpha)) (pow.f64 beta 3)))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (+.f64 2 alpha)) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)))) (pow.f64 beta 4))))))) |
(-.f64 1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 beta 2)))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 beta 2))) (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (+.f64 beta 2))) (*.f64 -2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 2)))) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 (*.f64 beta (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 beta 2))) (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)))))) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) |
(*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4)))))) |
(*.f64 -2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 3)) (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)))))) |
(+.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) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (*.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)))))))) |
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2 |
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2 |
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(*.f64 -2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))))) |
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(/.f64 (-.f64 1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2))))) |
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(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha) |
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
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(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) |
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1 |
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1 |
(+.f64 1 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))) |
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(/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) |
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1 |
(+.f64 (*.f64 -2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) 1) |
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1 |
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(pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) 1) |
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) 3) 1/3) |
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) 3) |
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) 2) |
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) 2)) |
(log.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) 3)) |
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(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)))) |
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)))) |
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) 1)) |
(-.f64 (/.f64 beta (-.f64 -2 (+.f64 beta alpha))) (-.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))) 1)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) 1) |
(-.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(-.f64 (+.f64 1 (/.f64 beta (-.f64 -2 (+.f64 beta alpha)))) (/.f64 alpha (-.f64 -2 (+.f64 beta alpha)))) |
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(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 6)) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) |
(exp.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))))) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))))) 1)) |
| 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 (*.f64 beta (*.f64 alpha (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))))) (+.f64 alpha 2))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)))) |
(-.f64 (fma.f64 2 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))))) 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 (+.f64 1 (fma.f64 2 (/.f64 (*.f64 beta (*.f64 alpha (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))))) (+.f64 alpha 2)) (neg.f64 (*.f64 (*.f64 beta beta) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (*.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha)))))))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) |
(-.f64 (-.f64 (fma.f64 2 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))))) 1) (*.f64 (*.f64 beta beta) (fma.f64 -2 (/.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha)) (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 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 (*.f64 beta (*.f64 alpha (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))))) (+.f64 alpha 2)) (*.f64 -1 (fma.f64 (pow.f64 beta 3) (fma.f64 -2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (+.f64 alpha 2) alpha)) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))))) (*.f64 (*.f64 beta beta) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (*.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha)))))))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)))) |
(-.f64 (+.f64 (fma.f64 2 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))))) 1) (neg.f64 (fma.f64 (*.f64 beta beta) (fma.f64 -2 (/.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha)) (pow.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 2)) (*.f64 (pow.f64 beta 3) (fma.f64 2 (*.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 -2 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (+.f64 alpha 2) alpha)))))))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) |
(/.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 -2 alpha)) beta) |
(/.f64 (+.f64 4 (-.f64 (*.f64 alpha 2) (*.f64 alpha -2))) beta) |
(/.f64 (+.f64 4 (*.f64 alpha 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 4 (/.f64 1 beta)))) (*.f64 -2 (/.f64 alpha beta))) |
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 beta beta)) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta))) (*.f64 2 (/.f64 alpha beta))) |
(+.f64 (-.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta)) (/.f64 (*.f64 (-.f64 (-.f64 -2 alpha) alpha) (+.f64 (-.f64 (-.f64 -2 alpha) alpha) (+.f64 (*.f64 alpha -2) -4))) (*.f64 beta 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 (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 (*.f64 -2 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (+.f64 alpha 2))) (pow.f64 beta 3))))) (*.f64 2 (/.f64 alpha beta))) |
(+.f64 (-.f64 (-.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta)) (/.f64 (fma.f64 2 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (-.f64 -2 alpha) alpha)) (*.f64 -2 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (-.f64 -2 alpha) alpha) 2)))) (pow.f64 beta 3))) (/.f64 (*.f64 (-.f64 (-.f64 -2 alpha) alpha) (+.f64 (-.f64 (-.f64 -2 alpha) alpha) (+.f64 (*.f64 alpha -2) -4))) (*.f64 beta 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 (*.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)) (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (*.f64 (*.f64 -2 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (+.f64 alpha 2))) (pow.f64 beta 3)) (neg.f64 (/.f64 (fma.f64 -2 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (*.f64 3 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)))) (pow.f64 beta 4)))))) (*.f64 2 (/.f64 alpha beta))) |
(+.f64 (-.f64 (fma.f64 2 (/.f64 alpha beta) (-.f64 (-.f64 (/.f64 4 beta) (/.f64 (fma.f64 2 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (-.f64 -2 alpha) alpha)) (*.f64 -2 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (-.f64 -2 alpha) alpha) 2)))) (pow.f64 beta 3))) (/.f64 (fma.f64 -2 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (-.f64 (-.f64 -2 alpha) alpha)) (*.f64 3 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (-.f64 (-.f64 -2 alpha) alpha) 2)))) (pow.f64 beta 4)))) (/.f64 (*.f64 (-.f64 (-.f64 -2 alpha) alpha) (+.f64 (-.f64 (-.f64 -2 alpha) alpha) (+.f64 (*.f64 alpha -2) -4))) (*.f64 beta beta))) (*.f64 2 (/.f64 alpha beta))) |
(*.f64 -2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) |
(*.f64 -2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta)) |
(*.f64 -2 (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 2))) (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))) |
(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 -2 (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta)) (/.f64 (*.f64 (-.f64 (-.f64 -2 alpha) alpha) (+.f64 (-.f64 (-.f64 -2 alpha) alpha) (+.f64 (*.f64 alpha -2) -4))) (*.f64 beta 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 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (fma.f64 -2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) (*.f64 2 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 3) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2))))))) |
(-.f64 (fma.f64 -2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (-.f64 -2 alpha) alpha))) (fma.f64 -2 (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta) (/.f64 (*.f64 (fma.f64 alpha 2 4) (pow.f64 (-.f64 (-.f64 -2 alpha) alpha) 2)) (pow.f64 beta 3)))) (/.f64 (*.f64 (-.f64 (-.f64 -2 alpha) alpha) (+.f64 (-.f64 (-.f64 -2 alpha) alpha) (+.f64 (*.f64 alpha -2) -4))) (*.f64 beta 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 (*.f64 2 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (+.f64 2 alpha)) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)))) (pow.f64 beta 4))))))) |
(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 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (fma.f64 -2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) (fma.f64 2 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 3) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2))) (neg.f64 (/.f64 (fma.f64 -2 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (*.f64 3 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)))) (pow.f64 beta 4))))))) |
(-.f64 (fma.f64 -2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (-.f64 -2 alpha) alpha))) (-.f64 (fma.f64 -2 (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta) (/.f64 (*.f64 (fma.f64 alpha 2 4) (pow.f64 (-.f64 (-.f64 -2 alpha) alpha) 2)) (pow.f64 beta 3))) (/.f64 (fma.f64 -2 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (-.f64 (-.f64 -2 alpha) alpha)) (*.f64 3 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (-.f64 (-.f64 -2 alpha) alpha) 2)))) (pow.f64 beta 4)))) (/.f64 (*.f64 (-.f64 (-.f64 -2 alpha) alpha) (+.f64 (-.f64 (-.f64 -2 alpha) alpha) (+.f64 (*.f64 alpha -2) -4))) (*.f64 beta beta))) |
(-.f64 1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) |
(-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) |
(-.f64 (+.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 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 (fma.f64 2 (/.f64 (*.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) alpha) (+.f64 2 beta)) 1) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 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 1 (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)))))) (neg.f64 (*.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))))))))))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) |
(-.f64 (-.f64 (fma.f64 2 (/.f64 (*.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) alpha) (+.f64 2 beta)) 1) (*.f64 (*.f64 alpha alpha) (fma.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 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2)))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) |
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(*.f64 2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) |
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(*.f64 -2 (/.f64 (fma.f64 beta -1 (-.f64 -2 beta)) alpha)) |
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(/.f64 (neg.f64 (-.f64 (-.f64 -2 alpha) alpha)) beta) |
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(-.f64 (*.f64 (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta) (/.f64 (+.f64 alpha 2) beta)) (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta)) |
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(/.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) beta) |
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(/.f64 (+.f64 alpha (+.f64 alpha 2)) beta) |
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2 |
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(+.f64 2 (neg.f64 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha))) |
(-.f64 2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) |
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2 |
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha))) |
(+.f64 2 (neg.f64 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha))) |
(-.f64 2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) |
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(/.f64 (-.f64 1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (/.f64 alpha (+.f64 2 alpha)))) |
(/.f64 (-.f64 1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
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(-.f64 (fma.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 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 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))))) (fma.f64 -1 (*.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) 2)) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta))) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) (-.f64 (*.f64 2 (*.f64 (/.f64 beta (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta)))) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta)))) (/.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (pow.f64 (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))))) (*.f64 alpha alpha) (fma.f64 (-.f64 (*.f64 2 (*.f64 (/.f64 beta (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta)))) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta)))) (/.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (pow.f64 (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) alpha (fma.f64 (-.f64 (neg.f64 (/.f64 (*.f64 -2 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (+.f64 2 beta)) (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))))) (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta)))) (-.f64 (*.f64 2 (*.f64 (/.f64 beta (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta)))) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta)))) (/.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (pow.f64 (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))) (+.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (pow.f64 (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 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 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))))) (fma.f64 -1 (*.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) 2)) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta))) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) (-.f64 (*.f64 2 (*.f64 (/.f64 beta (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta)))) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta)))) (/.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (pow.f64 (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))))))))))) (pow.f64 alpha 3) (/.f64 1 (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))))))) (/.f64 (*.f64 beta beta) (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta)))))) |
(fma.f64 (*.f64 alpha alpha) (-.f64 (/.f64 (neg.f64 (fma.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 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (-.f64 1 (/.f64 beta (+.f64 2 beta)))) (-.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (-.f64 1 (/.f64 beta (+.f64 2 beta))) (-.f64 (*.f64 (/.f64 2 (+.f64 2 beta)) (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (-.f64 1 (/.f64 beta (+.f64 2 beta))))) (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 (-.f64 1 (/.f64 beta (+.f64 2 beta))) 2))))) (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta)) (/.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (-.f64 1 (/.f64 beta (+.f64 2 beta))) 2))))) (-.f64 (fma.f64 alpha (-.f64 (*.f64 (/.f64 2 (+.f64 2 beta)) (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (-.f64 1 (/.f64 beta (+.f64 2 beta))))) (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 (-.f64 1 (/.f64 beta (+.f64 2 beta))) 2))) (fma.f64 (pow.f64 alpha 3) (-.f64 (/.f64 (neg.f64 (*.f64 -2 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (+.f64 2 beta)) (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))))))) (-.f64 1 (/.f64 beta (+.f64 2 beta)))) (-.f64 (+.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (pow.f64 (-.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (-.f64 1 (/.f64 beta (+.f64 2 beta))) (-.f64 (/.f64 (neg.f64 (fma.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 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (-.f64 1 (/.f64 beta (+.f64 2 beta)))) (-.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (-.f64 1 (/.f64 beta (+.f64 2 beta))) (-.f64 (*.f64 (/.f64 2 (+.f64 2 beta)) (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (-.f64 1 (/.f64 beta (+.f64 2 beta))))) (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 (-.f64 1 (/.f64 beta (+.f64 2 beta))) 2))))) (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta)) (/.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (-.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))))))) (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta)) (/.f64 (-.f64 (*.f64 (/.f64 2 (+.f64 2 beta)) (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (-.f64 1 (/.f64 beta (+.f64 2 beta))))) (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 (-.f64 1 (/.f64 beta (+.f64 2 beta))) 2))) (-.f64 1 (/.f64 beta (+.f64 2 beta))))))) (/.f64 1 (-.f64 1 (/.f64 beta (+.f64 2 beta)))))) (*.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (-.f64 1 (/.f64 beta (+.f64 2 beta))))))) |
(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha) |
(/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) |
(/.f64 (+.f64 beta (+.f64 2 beta)) alpha) |
(-.f64 (+.f64 (/.f64 beta alpha) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2))))) |
(+.f64 (/.f64 beta alpha) (-.f64 (*.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (*.f64 alpha alpha)) -1/2) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2) (*.f64 alpha alpha)))))) |
(-.f64 (fma.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (*.f64 alpha alpha)) -1/2 (/.f64 beta alpha)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) (*.f64 alpha alpha)) (/.f64 (-.f64 -2 beta) alpha))) |
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 alpha 2))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (-.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2))) (*.f64 -1/2 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)))) (pow.f64 alpha 3))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2)) (pow.f64 alpha 3))))))) |
(-.f64 (+.f64 (/.f64 beta alpha) (*.f64 -1/2 (+.f64 (/.f64 (*.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))))) (pow.f64 alpha 3)) (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (*.f64 alpha alpha))))) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2) (*.f64 alpha alpha)) (fma.f64 -1/2 (/.f64 (*.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (*.f64 -1/2 (-.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)) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)))) (pow.f64 alpha 3)) (*.f64 1/2 (/.f64 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta)))))))) |
(-.f64 (-.f64 (fma.f64 -1/2 (+.f64 (/.f64 (*.f64 -2 (fma.f64 (+.f64 2 beta) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))))) (pow.f64 alpha 3)) (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (*.f64 alpha alpha))) (/.f64 beta alpha)) (/.f64 (-.f64 -2 beta) alpha)) (fma.f64 -1/2 (+.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta (+.f64 2 beta)) (/.f64 (pow.f64 alpha 3) (*.f64 -1/2 (-.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)))))) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta)))))) |
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 alpha 2))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4)))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (-.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 -1/2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (-.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2))) (*.f64 -1/2 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2))))) (*.f64 1/2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2)))))) (pow.f64 alpha 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (*.f64 (-.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2))) (*.f64 -1/2 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2))) (+.f64 beta 2))) (pow.f64 alpha 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (-.f64 (*.f64 -1/2 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2))) (*.f64 -1/2 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)))) (pow.f64 alpha 3)))))))))) |
(-.f64 (+.f64 (/.f64 beta alpha) (fma.f64 -1/2 (/.f64 (*.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))))) (pow.f64 alpha 3)) (*.f64 -1/2 (+.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (*.f64 alpha alpha)) (/.f64 (fma.f64 2 (*.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (fma.f64 2 (*.f64 (pow.f64 (+.f64 2 beta) 3) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (*.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)))) (pow.f64 alpha 4)))))) (fma.f64 -1/2 (/.f64 (*.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (-.f64 (*.f64 (*.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))))) -1/2) (fma.f64 -1/2 (*.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (*.f64 -1/2 (-.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)) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)))) (*.f64 (*.f64 (+.f64 2 beta) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) 1/2)))) (pow.f64 alpha 4)) (fma.f64 1/2 (/.f64 (*.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (*.f64 (+.f64 2 beta) (*.f64 -1/2 (-.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)) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2))))) (pow.f64 alpha 4)) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta))) (fma.f64 -1/2 (/.f64 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 2))) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) (*.f64 -1/2 (+.f64 (/.f64 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2) (*.f64 alpha alpha)) (/.f64 (*.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (*.f64 -1/2 (-.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)) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)))) (pow.f64 alpha 3)))))))))) |
(+.f64 (/.f64 beta alpha) (-.f64 (*.f64 -1/2 (+.f64 (/.f64 (*.f64 -2 (fma.f64 (+.f64 2 beta) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))))) (pow.f64 alpha 3)) (+.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (*.f64 alpha alpha)) (/.f64 (fma.f64 2 (*.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (fma.f64 2 (*.f64 (pow.f64 (+.f64 2 beta) 3) (+.f64 beta (+.f64 2 beta))) (*.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)))) (pow.f64 alpha 4))))) (fma.f64 -1/2 (/.f64 (+.f64 beta (+.f64 2 beta)) (/.f64 (pow.f64 alpha 4) (+.f64 (*.f64 -1/2 (-.f64 (*.f64 -2 (fma.f64 (+.f64 2 beta) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))))) (*.f64 (+.f64 beta (+.f64 2 beta)) (*.f64 -1/2 (-.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)))))) (*.f64 -1/2 (*.f64 (+.f64 2 beta) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)))))) (fma.f64 1/2 (/.f64 (+.f64 beta (+.f64 2 beta)) (/.f64 (pow.f64 alpha 4) (*.f64 (+.f64 2 beta) (*.f64 -1/2 (-.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)))))) (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta))) (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (pow.f64 alpha 4)) (fma.f64 -1/2 (+.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta (+.f64 2 beta)) (/.f64 (pow.f64 alpha 3) (*.f64 -1/2 (-.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)))))) (/.f64 (-.f64 -2 beta) alpha)))))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) |
(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) |
(/.f64 (neg.f64 (fma.f64 beta -1 (-.f64 -2 beta))) alpha) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1/2 (/.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 1/2 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2)))) |
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(fma.f64 -1 (/.f64 (fma.f64 beta -1 (-.f64 -2 beta)) alpha) (fma.f64 (/.f64 (*.f64 (fma.f64 beta -1 (-.f64 -2 beta)) (+.f64 (+.f64 -4 (*.f64 beta -2)) (fma.f64 beta -1 (-.f64 -2 beta)))) (*.f64 alpha alpha)) -1/2 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 (fma.f64 beta -1 (-.f64 -2 beta)) alpha))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1/2 (/.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 -1 (/.f64 (-.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (+.f64 beta 2))))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (-.f64 (*.f64 -1/2 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))) (*.f64 1/2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))))))) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1 (*.f64 beta (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) (pow.f64 alpha 3))))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2)))) |
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(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) |
(/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) |
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(fma.f64 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))))) -2 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) |
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1 |
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 4 (/.f64 1 beta)))) |
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(-.f64 (fma.f64 -2 (/.f64 alpha beta) 1) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta))) |
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1 |
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(+.f64 1 (*.f64 2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta))) |
(fma.f64 2 (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta) 1) |
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(/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) |
(/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) |
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1 |
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(fma.f64 -2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 1) |
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(fma.f64 -2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (+.f64 (fma.f64 -2 (/.f64 (+.f64 beta (+.f64 2 beta)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) 1) (fma.f64 -2 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta))) (fma.f64 2 (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 (+.f64 2 beta) alpha)) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) (*.f64 alpha alpha)))))) |
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))) |
(fma.f64 2 (/.f64 (fma.f64 beta -1 (-.f64 -2 beta)) alpha) 1) |
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(*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))) 2) (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2)) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))) 3)))) |
(*.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) -1))) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 3)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) |
(*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))) 2)))) |
(*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)))) |
(pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 1) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 3) 1/3) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) 3) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) 2) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) |
(pow.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) -1) |
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2)))) |
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))) |
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 (neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) -1))) |
(*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2))) (/.f64 1 (+.f64 -1 (/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 alpha beta)))))) |
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (-.f64 -1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) 2)) |
(fabs.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 3)) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) 3) (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 3))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2))) (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 1)) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2))) (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
(-.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) 1) |
(+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2) 1)) |
(+.f64 1 (+.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))) 2)) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (-.f64 alpha (-.f64 -2 beta))) (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2) 1) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(*.f64 (pow.f64 (-.f64 beta alpha) 2) (*.f64 (/.f64 1 (-.f64 alpha (-.f64 -2 beta))) (/.f64 1 (-.f64 alpha (-.f64 -2 beta))))) |
(*.f64 (pow.f64 (-.f64 beta alpha) 2) (pow.f64 (/.f64 1 (+.f64 (-.f64 alpha -2) beta)) 2)) |
(*.f64 (pow.f64 (-.f64 beta alpha) 2) (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 2)) |
(*.f64 (pow.f64 (-.f64 beta alpha) 2) (pow.f64 (/.f64 1 (-.f64 alpha (-.f64 -2 beta))) 2)) |
(*.f64 (pow.f64 (-.f64 beta alpha) 2) (pow.f64 (/.f64 1 (+.f64 (-.f64 alpha -2) beta)) 2)) |
(*.f64 (pow.f64 (-.f64 beta alpha) 2) (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))) 2) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 4))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta))) 2) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 4))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))) (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 4)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta))) 2) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 4))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))) (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) (-.f64 beta alpha)) (/.f64 1 (-.f64 alpha (-.f64 -2 beta)))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(/.f64 1 (*.f64 (/.f64 (-.f64 alpha (-.f64 -2 beta)) (-.f64 beta alpha)) (/.f64 (-.f64 alpha (-.f64 -2 beta)) (-.f64 beta alpha)))) |
(/.f64 1 (/.f64 (/.f64 (pow.f64 (+.f64 (-.f64 alpha -2) beta) 2) (-.f64 beta alpha)) (-.f64 beta alpha))) |
(/.f64 1 (/.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (-.f64 beta alpha)) (-.f64 beta alpha))) |
(/.f64 (-.f64 beta alpha) (*.f64 (-.f64 alpha (-.f64 -2 beta)) (/.f64 (-.f64 alpha (-.f64 -2 beta)) (-.f64 beta alpha)))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (-.f64 alpha (-.f64 -2 beta)) (-.f64 beta alpha)) (-.f64 alpha (-.f64 -2 beta)))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(/.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) (/.f64 (-.f64 alpha (-.f64 -2 beta)) (-.f64 beta alpha))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(/.f64 (pow.f64 (-.f64 beta alpha) 2) (pow.f64 (-.f64 alpha (-.f64 -2 beta)) 2)) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(/.f64 (neg.f64 (-.f64 beta alpha)) (*.f64 (/.f64 (-.f64 alpha (-.f64 -2 beta)) (-.f64 beta alpha)) (neg.f64 (-.f64 alpha (-.f64 -2 beta))))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (-.f64 beta alpha))) (*.f64 (neg.f64 (-.f64 alpha (-.f64 -2 beta))) (neg.f64 (-.f64 alpha (-.f64 -2 beta))))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) 1) (*.f64 (neg.f64 (-.f64 alpha (-.f64 -2 beta))) (/.f64 (-.f64 alpha (-.f64 -2 beta)) (-.f64 beta alpha)))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 (neg.f64 (-.f64 alpha (-.f64 -2 beta))) (-.f64 alpha (-.f64 -2 beta)))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(/.f64 (*.f64 (-.f64 beta alpha) (neg.f64 (-.f64 beta alpha))) (*.f64 (-.f64 alpha (-.f64 -2 beta)) (neg.f64 (-.f64 alpha (-.f64 -2 beta))))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))) (-.f64 alpha (-.f64 -2 beta))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))) (neg.f64 (-.f64 alpha (-.f64 -2 beta)))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) (-.f64 beta alpha)) (-.f64 alpha (-.f64 -2 beta))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) (neg.f64 (-.f64 beta alpha))) (neg.f64 (-.f64 alpha (-.f64 -2 beta)))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 4)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 4)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)) |
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 6)) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 6)) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 6)) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(exp.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta)))))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))))) 1)) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2) |
| ✓ | 0.1b | (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 3) |
| ✓ | 1.3b | (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 3)) |
| ✓ | 1.6b | (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))) |
Compiled 201 to 102 computations (49.3% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | beta | @ | 0 | (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 3) |
| 2.0ms | alpha | @ | -inf | (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 3)) |
| 2.0ms | alpha | @ | inf | (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 3)) |
| 2.0ms | beta | @ | 0 | (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 3)) |
| 2.0ms | alpha | @ | 0 | (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 3)) |
| 1× | batch-egg-rewrite |
| 772× | fma-def_binary64 |
| 361× | fma-neg_binary64 |
| 282× | expm1-udef_binary64 |
| 281× | log1p-udef_binary64 |
| 262× | log-div_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 67 |
| 1 | 342 | 67 |
| 2 | 4952 | 67 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))) |
(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 3)) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 3) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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alpha) (+.f64 beta (+.f64 alpha 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1)))))) |
| 1× | egg-herbie |
| 759× | fma-def_binary64 |
| 409× | associate-/l*_binary64 |
| 387× | times-frac_binary64 |
| 379× | distribute-rgt-in_binary64 |
| 363× | distribute-lft-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 931 | 13947 |
| 1 | 3040 | 13126 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))) |
(+.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 1 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 beta (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)))))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.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 2 alpha))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) alpha) (+.f64 2 alpha))))))))) |
(+.f64 1 (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.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)))))) alpha) (+.f64 2 alpha))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.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 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 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 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.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 2 alpha))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) alpha) (+.f64 2 alpha)))))))))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 -2 (/.f64 alpha beta)))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 6 (/.f64 1 beta)) (/.f64 alpha beta)))) |
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 2)))))))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (*.f64 6 (/.f64 1 beta))))) |
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.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 (*.f64 -1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))))) (pow.f64 beta 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.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 3)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 3))) (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 2))))))))))))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (*.f64 6 (/.f64 1 beta))))) |
2 |
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 2 (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta)) (*.f64 2 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)))))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 4 (*.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (+.f64 2 alpha))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.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 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 2 (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta)) (*.f64 2 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2))))))))) |
(+.f64 1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) |
(+.f64 1 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha))) |
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(/.f64 (-.f64 (+.f64 beta (*.f64 2 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))) (*.f64 -1 (+.f64 beta 2))) alpha) |
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(*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 2 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (+.f64 beta 2)) alpha)) |
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(*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))) |
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1 |
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1 |
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(/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) |
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-1 |
(-.f64 (+.f64 (*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (+.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 beta alpha) (+.f64 (*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2))) (*.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)) |
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-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 2 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (+.f64 beta 2)) alpha)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 2 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (+.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 (*.f64 -2 (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2))) (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2))))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 2 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2))) (+.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 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.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)) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (+.f64 beta 2))) (*.f64 -1 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (+.f64 beta 2)))))))) (pow.f64 alpha 3))))))) 1) |
(/.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))) |
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(/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) |
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1 |
(+.f64 (*.f64 -2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) 1) |
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1 |
(+.f64 1 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))) |
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(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
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(/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) |
(/.f64 (pow.f64 (-.f64 beta alpha) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) |
(/.f64 (pow.f64 (neg.f64 (-.f64 beta alpha)) 3) (pow.f64 (+.f64 -2 (neg.f64 (+.f64 beta alpha))) 3)) |
(/.f64 (neg.f64 (pow.f64 (-.f64 beta alpha) 3)) (neg.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))) |
(/.f64 (*.f64 (-.f64 beta alpha) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 beta (+.f64 alpha 2))) |
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))) |
(/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) |
(/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (neg.f64 (-.f64 beta alpha))) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)) |
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9)) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) |
(expm1.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) |
(exp.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1)) |
(fma.f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) -1) |
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1 -1) |
(fma.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) 2) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) -1) |
(fma.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3/2)) (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3/2)) -1) |
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 9)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) -1) |
(fma.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)) (/.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) -1) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) 1) |
(*.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) |
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) 1) |
(*.f64 (pow.f64 (-.f64 beta alpha) 2) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (pow.f64 (-.f64 beta alpha) 2) (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 2)) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3/2)) |
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3/2) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 1 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))) |
(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))) |
(/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) |
(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) |
(/.f64 (pow.f64 (-.f64 beta alpha) 2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) |
(/.f64 (neg.f64 (-.f64 beta alpha)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (+.f64 -2 (neg.f64 (+.f64 beta alpha))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 (-.f64 beta alpha))) (*.f64 (+.f64 -2 (neg.f64 (+.f64 beta alpha))) (+.f64 -2 (neg.f64 (+.f64 beta alpha))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) 1) (*.f64 (+.f64 -2 (neg.f64 (+.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 (neg.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 (neg.f64 (+.f64 beta alpha))))) |
(/.f64 (*.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 2))) |
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))) |
(/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) |
(/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 beta alpha))) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))) |
(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))) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1)) |
| Outputs |
|---|
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 1) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 (neg.f64 beta) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))))) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))))) |
(+.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 alpha 2)) (fma.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (*.f64 (*.f64 beta beta) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3))))))) |
(+.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) 1) (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (neg.f64 beta) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))))) |
(+.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 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (fma.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3))) (neg.f64 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))))))))) |
(+.f64 1 (+.f64 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))))) (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (pow.f64 beta 3) (neg.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))))) |
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta) |
(/.f64 (+.f64 2 (*.f64 alpha 2)) beta) |
(/.f64 (fma.f64 alpha 2 2) 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 (fma.f64 2 (/.f64 alpha beta) (+.f64 (/.f64 2 beta) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))) (/.f64 (*.f64 alpha (+.f64 alpha 2)) (*.f64 beta beta))) |
(fma.f64 2 (/.f64 alpha beta) (-.f64 (-.f64 (/.f64 2 beta) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)))) |
(-.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 (fma.f64 2 (/.f64 alpha beta) (+.f64 (/.f64 2 beta) (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 alpha (+.f64 alpha 2)) (*.f64 beta beta)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))) |
(-.f64 (+.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) (-.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha))) |
(-.f64 (+.f64 (*.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 (fma.f64 2 (/.f64 alpha beta) (+.f64 (/.f64 2 beta) (+.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 beta 4)))))) (+.f64 (/.f64 (*.f64 alpha (+.f64 alpha 2)) (*.f64 beta beta)) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (/.f64 (pow.f64 beta 4) alpha))))) |
(-.f64 (+.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (/.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 beta 4)))) (-.f64 (+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 4)) alpha)) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) |
(/.f64 (neg.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) beta) |
(/.f64 (neg.f64 (-.f64 (fma.f64 alpha -1 -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))) |
(fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
(-.f64 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (-.f64 (fma.f64 alpha -1 -2) alpha)) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta)) |
(+.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 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (/.f64 (*.f64 (neg.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3))) |
(-.f64 (-.f64 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (-.f64 (fma.f64 alpha -1 -2) alpha)) (*.f64 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta)) |
(+.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 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 3))))) |
(+.f64 (-.f64 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (-.f64 (fma.f64 alpha -1 -2) alpha)) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta)) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (pow.f64 beta 4)) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 2)))) |
(-.f64 1 (/.f64 beta (+.f64 beta 2))) |
(-.f64 1 (/.f64 beta (+.f64 2 beta))) |
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))) |
(-.f64 (+.f64 1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))) |
(-.f64 (fma.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 1) (/.f64 beta (+.f64 2 beta))) |
(-.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 1 (-.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) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))) |
(+.f64 1 (-.f64 (fma.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 (fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 alpha alpha))) (/.f64 beta (+.f64 2 beta)))) |
(-.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))) |
(-.f64 (+.f64 1 (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 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))))) (/.f64 beta (+.f64 2 beta))) |
(+.f64 1 (-.f64 (fma.f64 (fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)) (/.f64 -1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 alpha alpha) (fma.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))))) (/.f64 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 2 (/.f64 (fma.f64 2 beta 2) alpha)) |
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
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(+.f64 2 (+.f64 (-.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (fma.f64 2 beta 2) alpha)) (/.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 (+.f64 (-.f64 2 (/.f64 (fma.f64 2 beta 2) alpha)) (-.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) |
2 |
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 beta 2) (*.f64 -1 beta)) alpha))) |
(+.f64 2 (neg.f64 (/.f64 (+.f64 beta (-.f64 2 (neg.f64 beta))) alpha))) |
(-.f64 2 (/.f64 (+.f64 beta (+.f64 2 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 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 -1 (/.f64 (+.f64 beta (-.f64 2 (neg.f64 beta))) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))) |
(+.f64 2 (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))) |
(+.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 beta (-.f64 2 (neg.f64 beta))) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))))) |
(+.f64 2 (-.f64 (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)))) |
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)))) |
(+.f64 1 (neg.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)))) |
(-.f64 1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))) |
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(+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 beta (*.f64 3 (/.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha))))))) |
(+.f64 1 (fma.f64 beta (*.f64 3 (/.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha)))) (/.f64 (neg.f64 (pow.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 3)))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.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 2 alpha))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) alpha) (+.f64 2 alpha))))))))) |
(+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)) (fma.f64 beta (*.f64 3 (/.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha)))) (*.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (/.f64 (+.f64 alpha 2) (+.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 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha))) (*.f64 -2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (/.f64 (+.f64 alpha 2) alpha))))))))) |
(+.f64 (-.f64 1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (*.f64 beta beta) (-.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2) (+.f64 alpha 2)) alpha) (*.f64 (/.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 alpha alpha))) (*.f64 (/.f64 alpha (+.f64 alpha 2)) (fma.f64 -2 (*.f64 (/.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (+.f64 alpha 2)) alpha) (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2)))) (*.f64 beta (*.f64 3 (/.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha))))))) |
(+.f64 1 (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.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)))))) alpha) (+.f64 2 alpha))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.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 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 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 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.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 2 alpha))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) alpha) (+.f64 2 alpha)))))))))) |
(+.f64 1 (fma.f64 (pow.f64 beta 3) (fma.f64 -1 (/.f64 (fma.f64 -2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (+.f64 alpha 2) alpha)) (*.f64 (*.f64 2 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 (+.f64 alpha 2) alpha)) (fma.f64 -2 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 alpha (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (+.f64 alpha 2)) (+.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha))) (*.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 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 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha)))))))) (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)) (fma.f64 beta (*.f64 3 (/.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha)))) (*.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (/.f64 (+.f64 alpha 2) (+.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 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha))) (*.f64 -2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (/.f64 (+.f64 alpha 2) alpha)))))))))) |
(+.f64 1 (fma.f64 (pow.f64 beta 3) (-.f64 (fma.f64 -2 (*.f64 (/.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (+.f64 alpha 2)) (*.f64 alpha (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))))) (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (fma.f64 -2 (*.f64 (/.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (+.f64 alpha 2)) alpha) (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2)) (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))))))) (/.f64 (fma.f64 2 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)))) (*.f64 -2 (/.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (/.f64 (+.f64 alpha 2) alpha)))) (/.f64 (+.f64 alpha 2) alpha))) (-.f64 (fma.f64 (*.f64 beta beta) (-.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2) (+.f64 alpha 2)) alpha) (*.f64 (/.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 alpha alpha))) (*.f64 (/.f64 alpha (+.f64 alpha 2)) (fma.f64 -2 (*.f64 (/.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (+.f64 alpha 2)) alpha) (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2)))) (*.f64 beta (*.f64 3 (/.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha)))))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))))) |
2 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 -2 (/.f64 alpha beta)))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 6 (/.f64 1 beta)) (/.f64 alpha beta)))) |
(-.f64 (fma.f64 -1 (/.f64 alpha beta) (+.f64 2 (*.f64 (/.f64 alpha beta) -2))) (fma.f64 2 (/.f64 alpha beta) (+.f64 (/.f64 alpha beta) (/.f64 6 beta)))) |
(-.f64 (-.f64 (fma.f64 (/.f64 alpha beta) -2 2) (/.f64 alpha beta)) (+.f64 (*.f64 3 (/.f64 alpha beta)) (/.f64 6 beta))) |
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 2)))))))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (*.f64 6 (/.f64 1 beta))))) |
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2 |
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(-.f64 2 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (/.f64 beta -3))) |
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(fma.f64 (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 (+.f64 2 beta) 2)))))) (fma.f64 2 (/.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (*.f64 alpha alpha) (+.f64 1 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (*.f64 alpha (*.f64 (/.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 (+.f64 2 beta) 2)) -3))))) |
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(fma.f64 (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (*.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 (/.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 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 (+.f64 2 beta) 2))))) (fma.f64 -1 (/.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (pow.f64 (+.f64 2 beta) 2)) (*.f64 -2 (/.f64 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))))))) (pow.f64 alpha 3) (fma.f64 (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 (+.f64 2 beta) 2)))))) (fma.f64 2 (/.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (*.f64 alpha alpha) (+.f64 1 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (*.f64 alpha (*.f64 (/.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 (+.f64 2 beta) 2)) -3)))))) |
(fma.f64 (pow.f64 alpha 3) (+.f64 (*.f64 (/.f64 beta (+.f64 2 beta)) (*.f64 -2 (+.f64 (*.f64 (/.f64 beta (+.f64 2 beta)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (+.f64 2 beta))))) (-.f64 (fma.f64 -2 (*.f64 (/.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)) (/.f64 (neg.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (fma.f64 2 (*.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (+.f64 (/.f64 1 (+.f64 2 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))))) (+.f64 (fma.f64 (*.f64 alpha alpha) (+.f64 (*.f64 (/.f64 beta (+.f64 2 beta)) (fma.f64 2 (*.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (+.f64 (/.f64 1 (+.f64 2 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))) (fma.f64 2 (*.f64 (/.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2)) (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 3)) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) 1) (fma.f64 alpha (*.f64 (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) -3) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))))) |
(/.f64 (-.f64 (+.f64 beta (*.f64 2 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))) (*.f64 -1 (+.f64 beta 2))) alpha) |
(/.f64 (+.f64 beta (-.f64 (*.f64 2 (-.f64 beta (+.f64 (neg.f64 beta) -2))) (+.f64 (neg.f64 beta) -2))) alpha) |
(/.f64 (+.f64 beta (fma.f64 2 (+.f64 beta (+.f64 2 beta)) (+.f64 2 beta))) alpha) |
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(-.f64 (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (*.f64 alpha alpha)) (fma.f64 -2 (/.f64 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2) (*.f64 alpha alpha)) (+.f64 (fma.f64 2 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) (/.f64 beta alpha)) (neg.f64 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))))))) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) |
(+.f64 (-.f64 (fma.f64 -2 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) (*.f64 alpha alpha)) (-.f64 (fma.f64 2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 beta alpha)) (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) (*.f64 alpha alpha)) (+.f64 2 beta)))) (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (*.f64 alpha alpha))) (/.f64 (+.f64 2 beta) alpha)) |
(-.f64 (+.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 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.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 beta (*.f64 -1 (+.f64 beta 2)))) (pow.f64 alpha 3)))))))))) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha))) |
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (*.f64 alpha alpha)) (+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (*.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))))) (pow.f64 alpha 3)) (fma.f64 -2 (/.f64 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 2 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) (+.f64 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (fma.f64 2 (/.f64 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta))) (/.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 3) (-.f64 beta (+.f64 (neg.f64 beta) -2)))))))))))) (/.f64 (+.f64 (neg.f64 beta) -2) alpha)) |
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(*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 2 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (+.f64 beta 2)) alpha)) |
(neg.f64 (/.f64 (-.f64 (fma.f64 -1 beta (*.f64 2 (-.f64 (neg.f64 beta) (+.f64 2 beta)))) (+.f64 2 beta)) alpha)) |
(/.f64 (+.f64 beta (*.f64 (fma.f64 2 (+.f64 (-.f64 (neg.f64 beta) beta) -2) (fma.f64 -1 beta -2)) -1)) alpha) |
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(-.f64 (-.f64 (-.f64 (fma.f64 -2 (/.f64 (pow.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) 2) (*.f64 alpha alpha)) (*.f64 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (+.f64 (-.f64 (neg.f64 beta) beta) -2))) (/.f64 (*.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) (+.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) (+.f64 -4 (*.f64 beta -2)))) (*.f64 alpha alpha))) (/.f64 (+.f64 (-.f64 (fma.f64 2 (+.f64 (-.f64 (neg.f64 beta) beta) -2) (neg.f64 beta)) beta) -2) alpha)) (/.f64 (fma.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) (*.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) (+.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) (+.f64 -4 (*.f64 beta -2)))) (fma.f64 -2 (*.f64 (+.f64 2 beta) (pow.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) 2)) (-.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (-.f64 (neg.f64 beta) beta) -2)) (fma.f64 -2 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (-.f64 (neg.f64 beta) beta) -2)) (*.f64 2 (*.f64 (+.f64 2 beta) (pow.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) 2))))))) (pow.f64 alpha 3))) |
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(neg.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))) |
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1 |
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1 |
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(-.f64 1 (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (/.f64 beta -3))) |
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(/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) |
(/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) |
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(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 beta (+.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 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -2 (/.f64 (*.f64 beta (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 3)) (+.f64 (*.f64 (+.f64 (/.f64 (*.f64 beta (+.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 beta 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (+.f64 beta 2))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha)))) |
(fma.f64 (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (*.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 (/.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 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 (+.f64 2 beta) 2))))) (fma.f64 -1 (/.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (pow.f64 (+.f64 2 beta) 2)) (*.f64 -2 (/.f64 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))))))) (pow.f64 alpha 3) (fma.f64 (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 (+.f64 2 beta) 2)))))) (fma.f64 2 (/.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (*.f64 alpha alpha) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (*.f64 alpha (*.f64 (/.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 (+.f64 2 beta) 2)) -3))))) |
(fma.f64 (pow.f64 alpha 3) (+.f64 (*.f64 (/.f64 beta (+.f64 2 beta)) (*.f64 -2 (+.f64 (*.f64 (/.f64 beta (+.f64 2 beta)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (+.f64 2 beta))))) (-.f64 (fma.f64 -2 (*.f64 (/.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)) (/.f64 (neg.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (fma.f64 2 (*.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (+.f64 (/.f64 1 (+.f64 2 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))))) (fma.f64 (*.f64 alpha alpha) (+.f64 (*.f64 (/.f64 beta (+.f64 2 beta)) (fma.f64 2 (*.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (+.f64 (/.f64 1 (+.f64 2 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))) (fma.f64 2 (*.f64 (/.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2)) (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 3)) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (fma.f64 alpha (*.f64 (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) -3) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))))) |
-1 |
(-.f64 (+.f64 (*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)) |
(-.f64 (fma.f64 2 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) (/.f64 beta alpha)) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1)) |
(+.f64 (fma.f64 2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 beta alpha)) (+.f64 -1 (/.f64 (+.f64 2 beta) alpha))) |
(-.f64 (+.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 beta alpha) (+.f64 (*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2))) (*.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 (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (*.f64 alpha alpha)) (+.f64 (/.f64 beta alpha) (fma.f64 2 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) (fma.f64 -2 (/.f64 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2) (*.f64 alpha alpha)) (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)) |
(+.f64 (-.f64 (+.f64 (fma.f64 2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 beta alpha)) (-.f64 (*.f64 (/.f64 -2 alpha) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) alpha)) (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) (*.f64 alpha alpha)) (+.f64 2 beta)))) (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (*.f64 alpha alpha))) (+.f64 -1 (/.f64 (+.f64 2 beta) alpha))) |
(-.f64 (+.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 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (/.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 beta (*.f64 -1 (+.f64 beta 2)))) (pow.f64 alpha 3)) (*.f64 2 (/.f64 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2)) (pow.f64 alpha 3))))))))))) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)))) |
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (*.f64 alpha alpha)) (+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (*.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))))) (pow.f64 alpha 3)) (fma.f64 -2 (/.f64 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 2 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) (+.f64 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (fma.f64 2 (/.f64 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta))) (/.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 3) (-.f64 beta (+.f64 (neg.f64 beta) -2)))))))))))) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1)) |
(+.f64 (-.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 -2 (/.f64 (pow.f64 alpha 3) (fma.f64 (+.f64 2 beta) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))))))) (fma.f64 -2 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) (*.f64 alpha alpha)) (-.f64 (+.f64 (fma.f64 2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))) (fma.f64 2 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta))) (*.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (pow.f64 alpha 3)) (+.f64 beta (+.f64 2 beta))))) (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) (*.f64 alpha alpha)) (+.f64 2 beta))))) (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (*.f64 alpha alpha))) (+.f64 -1 (/.f64 (+.f64 2 beta) alpha))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 2 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (+.f64 beta 2)) alpha)) 1) |
(fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 beta (*.f64 2 (-.f64 (neg.f64 beta) (+.f64 2 beta)))) (+.f64 2 beta)) alpha) -1) |
(fma.f64 -1 (/.f64 (+.f64 (-.f64 (fma.f64 2 (+.f64 (-.f64 (neg.f64 beta) beta) -2) (neg.f64 beta)) beta) -2) alpha) -1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 2 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (+.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 (*.f64 -2 (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2))) (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2))))) 1) |
(+.f64 (fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 beta (*.f64 2 (-.f64 (neg.f64 beta) (+.f64 2 beta)))) (+.f64 2 beta)) alpha) (fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 (+.f64 2 beta) (-.f64 (neg.f64 beta) (+.f64 2 beta))) (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2)) (*.f64 alpha alpha)) (fma.f64 -2 (/.f64 (pow.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 2 beta) (/.f64 (*.f64 alpha alpha) (-.f64 (neg.f64 beta) (+.f64 2 beta))))))) -1) |
(+.f64 (-.f64 (-.f64 (fma.f64 -2 (/.f64 (pow.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) 2) (*.f64 alpha alpha)) (*.f64 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (+.f64 (-.f64 (neg.f64 beta) beta) -2))) (/.f64 (*.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) (+.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) (+.f64 -4 (*.f64 beta -2)))) (*.f64 alpha alpha))) (/.f64 (+.f64 (-.f64 (fma.f64 2 (+.f64 (-.f64 (neg.f64 beta) beta) -2) (neg.f64 beta)) beta) -2) alpha)) -1) |
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1 |
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1 |
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(/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) |
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1 |
(+.f64 (*.f64 -2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) 1) |
(fma.f64 -2 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) 1) |
(fma.f64 -2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 1) |
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(fma.f64 -2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (+.f64 (fma.f64 -2 (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) 1) (fma.f64 -2 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta))) (fma.f64 2 (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) (*.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) (*.f64 alpha alpha)))))) |
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))) |
(fma.f64 2 (/.f64 (+.f64 (-.f64 (neg.f64 beta) beta) -2) alpha) 1) |
(+.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 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 1 (*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) 1)) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) 1) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(+.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(*.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
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(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
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(/.f64 1 (/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) (/.f64 1 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 1))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) 1)) |
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) |
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(pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(pow.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
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(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
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(fabs.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) |
(log.f64 (exp.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))) |
(exp.f64 (log1p.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (log1p.f64 (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))) |
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(exp.f64 (log1p.f64 (neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))) |
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(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 4)) |
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 6)) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 6)) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) |
(exp.f64 (log.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1)) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) |
Compiled 90820 to 62720 computations (30.9% saved)
17 alts after pruning (14 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1369 | 9 | 1378 |
| Fresh | 6 | 5 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 1378 | 17 | 1395 |
| Status | Error | Program |
|---|---|---|
| 46.3b | (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) | |
| 16.5b | (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2) | |
| 32.5b | (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) 3) 2) | |
| ▶ | 33.3b | (/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (-.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) 2) |
| ▶ | 32.5b | (/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) (/.f64 (-.f64 alpha (-.f64 -2 beta)) (-.f64 beta alpha)))) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta)))) 2) |
| ✓ | 45.4b | (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
| ▶ | 48.6b | (/.f64 (/.f64 2 alpha) 2) |
| ▶ | 31.3b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| ✓ | 16.3b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 17.4b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) | |
| 45.4b | (/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) | |
| 45.6b | (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) | |
| ▶ | 16.3b | (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 3)) (/.f64 1 (+.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))))) 2) |
| 58.4b | (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) | |
| 49.4b | (/.f64 (exp.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (fma.f64 1/6 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 3) -2) (pow.f64 alpha 3)) (-.f64 (log.f64 (+.f64 beta (+.f64 2 beta))) (log.f64 alpha)))))) 2) | |
| 47.5b | (/.f64 (exp.f64 (+.f64 (-.f64 (log.f64 (+.f64 beta (+.f64 2 beta))) (log.f64 alpha)) (/.f64 (-.f64 -2 beta) alpha))) 2) | |
| ✓ | 40.8b | (/.f64 2 2) |
Compiled 725 to 512 computations (29.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) |
| 0.1b | (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 3) | |
| 1.3b | (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 3)) | |
| 1.6b | (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))) |
Compiled 271 to 136 computations (49.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | beta | @ | 0 | (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) |
| 1.0ms | alpha | @ | 0 | (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) |
| 1.0ms | alpha | @ | -inf | (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) |
| 1.0ms | beta | @ | -inf | (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) |
| 1.0ms | beta | @ | inf | (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) |
| 1× | batch-egg-rewrite |
| 673× | log-prod_binary64 |
| 436× | fma-def_binary64 |
| 265× | log-div_binary64 |
| 259× | fma-neg_binary64 |
| 235× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 1 | 245 | 16 |
| 2 | 4007 | 16 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta 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egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta))) (neg.f64 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 1)))))) |
| 1× | egg-herbie |
| 537× | unswap-sqr_binary64 |
| 413× | cancel-sign-sub-inv_binary64 |
| 300× | sub-neg_binary64 |
| 258× | div-sub_binary64 |
| 169× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 341 | 3410 |
| 1 | 1098 | 3197 |
| 2 | 4405 | 3113 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) |
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 beta (-.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))))) |
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 beta (-.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))))) |
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 beta (-.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6)) (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 alpha)) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))))) (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))))))) |
1 |
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 4 (/.f64 1 beta)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 alpha beta)) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))) (+.f64 (*.f64 4 (/.f64 1 beta)) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 alpha 2) (+.f64 (*.f64 (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))))) (pow.f64 beta 3)))))) (+.f64 (*.f64 4 (/.f64 1 beta)) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha))) beta))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha))) beta)))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha)))) (pow.f64 beta 2))))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (pow.f64 alpha 2) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha))))) (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 3))) (+.f64 1 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha))) beta)))))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha)))) (pow.f64 beta 2))))) |
(/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) |
(+.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))) |
(+.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (*.f64 -2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)))) |
(+.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (*.f64 -2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 6)) (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (*.f64 -2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3))))) |
1 |
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 beta alpha))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -2 (/.f64 beta alpha)))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 beta) (+.f64 4 (*.f64 2 beta))) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 4 (/.f64 1 alpha)))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (*.f64 -2 beta) (+.f64 4 (*.f64 2 beta)))))) (+.f64 4 (*.f64 2 beta))) (*.f64 (-.f64 (*.f64 -2 beta) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -2 (/.f64 beta alpha))))) (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (*.f64 -2 beta) (+.f64 4 (*.f64 2 beta)))) (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 4 (/.f64 1 alpha)))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2))) alpha))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2))) alpha)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2)))) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2)))) (pow.f64 alpha 3)) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2))))))) (+.f64 beta 2)) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2))) alpha)))))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 2 beta) (*.f64 -2 (+.f64 beta 2)))) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))) |
(+.f64 0 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) 1) |
(-.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)))) |
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) 1) |
(*.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) |
(*.f64 (pow.f64 (-.f64 beta alpha) 2) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 2)) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta)))) 2) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta)))) (/.f64 1 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 2) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (*.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 1 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta)))) (/.f64 1 (neg.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta))) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (-.f64 beta alpha) 1) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))) (-.f64 beta alpha)) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 1) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) 1) (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta)))) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta)))) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2))) |
(*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) 1) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) 3) 1/3) |
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 3) |
(pow.f64 (/.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) -1) |
(pow.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)) 1/3) |
(pow.f64 (/.f64 (/.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 1) -1) |
(neg.f64 (/.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta))) (neg.f64 (+.f64 alpha (+.f64 2 beta))))) |
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) 2)) |
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))) |
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3))) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) |
(exp.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 1)) |
| Outputs |
|---|
(/.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 beta (-.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))))) |
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1 |
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 beta alpha))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha)))) |
(-.f64 (+.f64 1 (/.f64 (*.f64 beta -2) alpha)) (fma.f64 2 (/.f64 beta alpha) (/.f64 4 alpha))) |
(-.f64 (fma.f64 -2 (/.f64 beta alpha) 1) (fma.f64 2 (/.f64 beta alpha) (/.f64 4 alpha))) |
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1 |
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(-.f64 (+.f64 1 (/.f64 (*.f64 beta -2) alpha)) (fma.f64 2 (/.f64 beta alpha) (/.f64 4 alpha))) |
(-.f64 (fma.f64 -2 (/.f64 beta alpha) 1) (fma.f64 2 (/.f64 beta alpha) (/.f64 4 alpha))) |
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(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
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(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) 1) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(-.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (/.f64 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (+.f64 alpha (+.f64 2 beta))))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(*.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) 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))) 2)) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(*.f64 (pow.f64 (-.f64 beta alpha) 2) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (+.f64 alpha (+.f64 2 beta))))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 2)) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta)))) 2) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta)))) (/.f64 1 (+.f64 alpha (+.f64 2 beta))))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 2) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(*.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))))) |
(/.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (*.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 1 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))))) |
(/.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta)))) (/.f64 1 (neg.f64 (+.f64 alpha (+.f64 2 beta))))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta)))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta))) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (pow.f64 (-.f64 beta alpha) 2) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))))) |
(/.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))))) |
(/.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 (-.f64 beta alpha) 1) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta)))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(*.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (pow.f64 (-.f64 beta alpha) 2) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))))) |
(/.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))) (-.f64 beta alpha)) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 1) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 2 beta)))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) 1) (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))))) |
(/.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (pow.f64 (-.f64 beta alpha) 2) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))))) |
(/.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta)))) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta)))) 2) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta)))) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2))) (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))))) |
(/.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta)))) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (-.f64 beta alpha) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta))))) |
(/.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta)))) |
(/.f64 (*.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) |
(*.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2))) |
(*.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha (+.f64 2 beta)))) (-.f64 beta (+.f64 alpha 2))) |
(*.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 (-.f64 beta alpha) -2)) |
(*.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 beta (-.f64 -2 alpha))) |
(*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) |
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) 1) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) 3) 1/3) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 3) |
(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)) -1) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(pow.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)) 1/3) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(pow.f64 (/.f64 (/.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 1) -1) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(neg.f64 (/.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta))) (neg.f64 (+.f64 alpha (+.f64 2 beta))))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) 2)) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) 3)) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 beta alpha) 2) (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(exp.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 1)) |
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) |
Compiled 12 to 9 computations (25% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 alpha (+.f64 alpha 2)) |
| ✓ | 1.0b | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
Compiled 29 to 21 computations (27.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | alpha | @ | inf | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | 0 | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | -inf | (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
| 0.0ms | alpha | @ | inf | (/.f64 alpha (+.f64 alpha 2)) |
| 0.0ms | alpha | @ | -inf | (/.f64 alpha (+.f64 alpha 2)) |
| 1× | batch-egg-rewrite |
| 904× | pow1_binary64 |
| 849× | add-log-exp_binary64 |
| 848× | log1p-expm1-u_binary64 |
| 848× | expm1-log1p-u_binary64 |
| 835× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 160 | 17 |
| 2 | 2193 | 17 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(/.f64 alpha (+.f64 alpha 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 alpha (/.f64 1 (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 alpha) (/.f64 1 (+.f64 (neg.f64 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha 2)) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 alpha (+.f64 (neg.f64 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2)))))))) |
| 1× | egg-herbie |
| 605× | fma-def_binary64 |
| 460× | associate-/l*_binary64 |
| 343× | unswap-sqr_binary64 |
| 316× | times-frac_binary64 |
| 285× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 194 | 1340 |
| 1 | 493 | 1217 |
| 2 | 1615 | 1129 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 alpha)) |
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))) |
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(*.f64 1/2 alpha) |
(+.f64 (*.f64 1/2 alpha) (*.f64 -1/4 (pow.f64 alpha 2))) |
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2)))) |
(+.f64 (*.f64 1/2 alpha) (+.f64 (*.f64 -1/16 (pow.f64 alpha 4)) (+.f64 (*.f64 1/8 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha)))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha)))) |
(+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) |
(+.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 1) |
(*.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) |
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(*.f64 (-.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)) 2)) (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 1 (/.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 1 (/.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) (+.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 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2))) (neg.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) |
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) |
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) |
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3) |
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 3) |
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2) |
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)) |
(log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)) |
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) |
(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) |
(-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) |
(*.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(*.f64 alpha (/.f64 1 (+.f64 alpha 2))) |
(*.f64 (/.f64 alpha (+.f64 alpha 2)) 1) |
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 alpha 2)))) |
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) (sqrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 alpha 2)))) |
(*.f64 (neg.f64 alpha) (/.f64 1 (+.f64 (neg.f64 alpha) -2))) |
(*.f64 (/.f64 1 (+.f64 alpha 2)) alpha) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha 2))) |
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 2))) (/.f64 alpha (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha 2)))) |
(*.f64 (/.f64 alpha (+.f64 8 (pow.f64 alpha 3))) (fma.f64 alpha alpha (-.f64 4 (*.f64 alpha 2)))) |
(*.f64 (/.f64 alpha (fma.f64 alpha alpha -4)) (+.f64 alpha -2)) |
(pow.f64 (/.f64 alpha (+.f64 alpha 2)) 1) |
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 3) |
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) |
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 alpha 2) alpha) -1) |
(neg.f64 (/.f64 alpha (+.f64 (neg.f64 alpha) -2))) |
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) |
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 alpha)) |
(fma.f64 -1/2 alpha 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))) |
(+.f64 1 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha)))) |
(+.f64 (fma.f64 -1/2 alpha 1) (*.f64 1/4 (*.f64 alpha alpha))) |
(fma.f64 -1/2 alpha (fma.f64 alpha (*.f64 alpha 1/4) 1)) |
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))) |
(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 1 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha))))) |
(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 (fma.f64 -1/2 alpha 1) (*.f64 1/4 (*.f64 alpha alpha)))) |
(fma.f64 -1/8 (pow.f64 alpha 3) (fma.f64 -1/2 alpha (fma.f64 alpha (*.f64 alpha 1/4) 1))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 16 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 -16 (pow.f64 alpha 4))))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha)))) |
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 8 (pow.f64 alpha 3))) |
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) |
(-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 16 (pow.f64 alpha 4)))) |
(+.f64 (/.f64 2 alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 -16 (pow.f64 alpha 4))))) |
(*.f64 1/2 alpha) |
(*.f64 alpha 1/2) |
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(fma.f64 1/2 alpha (*.f64 (*.f64 alpha alpha) -1/4)) |
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(*.f64 alpha (+.f64 1/2 (*.f64 alpha -1/4))) |
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1 |
(-.f64 1 (*.f64 2 (/.f64 1 alpha))) |
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(+.f64 (+.f64 1 (/.f64 4 (*.f64 alpha alpha))) (+.f64 (/.f64 -2 alpha) (/.f64 -8 (pow.f64 alpha 3)))) |
1 |
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(-.f64 (+.f64 1 (/.f64 4 (*.f64 alpha alpha))) (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3)))) |
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(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
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(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
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(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
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(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(exp.f64 (log1p.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) |
(-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha 2))) 1) |
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(*.f64 (/.f64 alpha (+.f64 alpha 2)) 1) |
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(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2)) |
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha 2)))) |
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(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 alpha 2)))) |
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(*.f64 (/.f64 1 (+.f64 alpha 2)) alpha) |
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(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(/.f64 alpha (+.f64 alpha 2)) |
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(/.f64 alpha (+.f64 alpha 2)) |
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) 1)) |
(+.f64 (/.f64 alpha (+.f64 alpha 2)) 0) |
(/.f64 alpha (+.f64 alpha 2)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) (/.f64 (-.f64 alpha (-.f64 -2 beta)) (-.f64 beta alpha)))) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta)))) |
| ✓ | 0.1b | (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) (/.f64 (-.f64 alpha (-.f64 -2 beta)) (-.f64 beta alpha))) |
| 1.6b | (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta))) | |
| ✓ | 2.9b | (-.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) (/.f64 (-.f64 alpha (-.f64 -2 beta)) (-.f64 beta alpha)))) |
Compiled 172 to 92 computations (46.5% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | alpha | @ | inf | (-.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) (/.f64 (-.f64 alpha (-.f64 -2 beta)) (-.f64 beta alpha)))) |
| 4.0ms | beta | @ | -inf | (/.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) (/.f64 (-.f64 alpha (-.f64 -2 beta)) (-.f64 beta alpha)))) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta)))) |
| 4.0ms | beta | @ | 0 | (/.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) (/.f64 (-.f64 alpha (-.f64 -2 beta)) (-.f64 beta alpha)))) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta)))) |
| 4.0ms | alpha | @ | 0 | (/.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) (/.f64 (-.f64 alpha (-.f64 -2 beta)) (-.f64 beta alpha)))) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta)))) |
| 3.0ms | beta | @ | inf | (/.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) (/.f64 (-.f64 alpha (-.f64 -2 beta)) (-.f64 beta alpha)))) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta)))) |
| 1× | batch-egg-rewrite |
| 416× | log1p-udef_binary64 |
| 238× | add-sqr-sqrt_binary64 |
| 234× | *-un-lft-identity_binary64 |
| 234× | pow1_binary64 |
| 223× | add-cbrt-cube_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 108 |
| 1 | 442 | 72 |
| 2 | 7751 | 72 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) (/.f64 (-.f64 alpha (-.f64 -2 beta)) (-.f64 beta alpha)))) |
(/.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) (/.f64 (-.f64 alpha (-.f64 -2 beta)) (-.f64 beta alpha))) |
(/.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) (/.f64 (-.f64 alpha (-.f64 -2 beta)) (-.f64 beta alpha)))) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta)))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 680× | fma-def_binary64 |
| 463× | distribute-rgt-in_binary64 |
| 462× | times-frac_binary64 |
| 315× | sub-neg_binary64 |
| 275× | *-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1004 | 18399 |
| 1 | 3538 | 16389 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 (+.f64 1 (*.f64 beta (-.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 1 (*.f64 beta (-.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 alpha)) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6)))) (*.f64 beta (-.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(/.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 -2 alpha)) beta) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 4 (/.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) (+.f64 (*.f64 -2 (/.f64 alpha beta)) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 4 (/.f64 1 beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (/.f64 (*.f64 (-.f64 (pow.f64 alpha 2) (+.f64 (*.f64 (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3))))))) (+.f64 (*.f64 -2 (/.f64 alpha beta)) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))) |
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(/.f64 (-.f64 (+.f64 4 (*.f64 2 beta)) (*.f64 -2 beta)) alpha) |
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta)) alpha)) |
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(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) |
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1 |
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 4 (/.f64 1 beta)))) |
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1 |
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(/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) |
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(*.f64 1/2 (/.f64 (-.f64 (+.f64 4 (*.f64 2 beta)) (*.f64 -2 beta)) alpha)) |
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(*.f64 -1/2 (/.f64 (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta)) alpha)) |
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(+.f64 1 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) |
(+.f64 1 (*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) 1)) |
(+.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) 1) |
(*.f64 1 (-.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))) 2)) 1) |
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) 2)) |
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(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) 2) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 3))) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2) (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) |
(pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 1) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) 3) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) 2) |
(pow.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) -1) |
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (neg.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) 3) (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 1)) |
| Outputs |
|---|
(-.f64 1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) |
(-.f64 (+.f64 1 (*.f64 beta (-.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 4) (+.f64 4 (*.f64 alpha 2)))) (*.f64 2 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 4) (fma.f64 alpha 2 4))) (*.f64 2 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) 1) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) |
(-.f64 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 1 (*.f64 beta (-.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4)) (-.f64 (/.f64 (-.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 4) (+.f64 4 (*.f64 alpha 2))))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 4 (*.f64 alpha 2)))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 1 (*.f64 beta (+.f64 (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 4) (+.f64 4 (*.f64 alpha 2)))) (*.f64 2 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) |
(-.f64 (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4)) (+.f64 (/.f64 (-.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 4) (fma.f64 alpha 2 4)))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 alpha 2 4))) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)))) (fma.f64 beta (+.f64 (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 4) (fma.f64 alpha 2 4))) (*.f64 2 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) 1)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) |
(-.f64 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 alpha)) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6)))) (*.f64 beta (-.f64 (/.f64 (*.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))))) (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) |
(-.f64 (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4)) (-.f64 (/.f64 (-.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 4) (+.f64 4 (*.f64 alpha 2))))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 4 (*.f64 alpha 2)))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 1 (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 (+.f64 4 (*.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (-.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 4) (+.f64 4 (*.f64 alpha 2))))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 4 (*.f64 alpha 2)))))))) (-.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (*.f64 (*.f64 alpha alpha) (+.f64 4 (*.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 6)))) (*.f64 beta (+.f64 (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 4) (+.f64 4 (*.f64 alpha 2)))) (*.f64 2 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))))))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) |
(-.f64 (+.f64 (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4)) (+.f64 (/.f64 (-.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 4) (fma.f64 alpha 2 4)))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 alpha 2 4))) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)))) 1) (fma.f64 (pow.f64 beta 3) (-.f64 (fma.f64 -2 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (fma.f64 alpha 2 4) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (-.f64 (*.f64 -2 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 4) (fma.f64 alpha 2 4)))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 alpha 2 4)))))))) (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 6) (fma.f64 alpha 2 4)))) (*.f64 beta (+.f64 (/.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 4) (fma.f64 alpha 2 4))) (*.f64 2 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) |
(/.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 -2 alpha)) beta) |
(/.f64 (+.f64 4 (-.f64 (*.f64 alpha 2) (*.f64 alpha -2))) beta) |
(/.f64 (+.f64 4 (*.f64 alpha 4)) beta) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 4 (/.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) (+.f64 (*.f64 -2 (/.f64 alpha beta)) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (/.f64 (-.f64 (*.f64 alpha -2) (+.f64 4 (*.f64 alpha 2))) (/.f64 (*.f64 beta beta) (+.f64 4 (*.f64 alpha 2)))) (+.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) (fma.f64 -2 (/.f64 alpha beta) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 alpha -2 (fma.f64 alpha -2 -4)) beta) (/.f64 (fma.f64 alpha 2 4) beta)) (-.f64 (+.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (fma.f64 -2 (/.f64 alpha beta) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 4 (/.f64 1 beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (/.f64 (*.f64 (-.f64 (pow.f64 alpha 2) (+.f64 (*.f64 (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3))))))) (+.f64 (*.f64 -2 (/.f64 alpha beta)) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))) |
(-.f64 (+.f64 (/.f64 (-.f64 (*.f64 alpha -2) (+.f64 4 (*.f64 alpha 2))) (/.f64 (*.f64 beta beta) (+.f64 4 (*.f64 alpha 2)))) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (*.f64 alpha -2) (+.f64 4 (*.f64 alpha 2))))) (+.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta)) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (-.f64 (*.f64 alpha alpha) (fma.f64 (-.f64 (*.f64 alpha -2) (+.f64 4 (*.f64 alpha 2))) (+.f64 4 (*.f64 alpha 2)) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 beta 3) (+.f64 4 (*.f64 alpha 2)))))))) (fma.f64 -2 (/.f64 alpha beta) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)))) |
(-.f64 (+.f64 (+.f64 (*.f64 (/.f64 (fma.f64 alpha -2 (fma.f64 alpha -2 -4)) beta) (/.f64 (fma.f64 alpha 2 4) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (fma.f64 alpha -2 (fma.f64 alpha -2 -4))))) (+.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta)) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (-.f64 (*.f64 alpha alpha) (fma.f64 (fma.f64 alpha 2 4) (fma.f64 alpha -2 (fma.f64 alpha -2 -4)) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 beta 3) (fma.f64 alpha 2 4)))))) (fma.f64 -2 (/.f64 alpha beta) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 beta)) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (pow.f64 alpha 2) (+.f64 (*.f64 (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 4)) (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 alpha 2) (+.f64 (*.f64 (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 (pow.f64 alpha 2) (+.f64 (*.f64 (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 4)))))))))) (+.f64 (*.f64 -2 (/.f64 alpha beta)) (/.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))) |
(+.f64 (/.f64 4 beta) (-.f64 (fma.f64 2 (/.f64 alpha beta) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (*.f64 alpha -2) (+.f64 4 (*.f64 alpha 2))))) (+.f64 (/.f64 (-.f64 (*.f64 alpha -2) (+.f64 4 (*.f64 alpha 2))) (/.f64 (*.f64 beta beta) (+.f64 4 (*.f64 alpha 2)))) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 4) (-.f64 (*.f64 alpha alpha) (fma.f64 (-.f64 (*.f64 alpha -2) (+.f64 4 (*.f64 alpha 2))) (+.f64 4 (*.f64 alpha 2)) (pow.f64 (+.f64 alpha 2) 2))))) (+.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (fma.f64 (-.f64 (*.f64 alpha -2) (+.f64 4 (*.f64 alpha 2))) (+.f64 4 (*.f64 alpha 2)) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 beta 3) (+.f64 4 (*.f64 alpha 2)))) (neg.f64 (/.f64 (fma.f64 (-.f64 (*.f64 alpha alpha) (fma.f64 (-.f64 (*.f64 alpha -2) (+.f64 4 (*.f64 alpha 2))) (+.f64 4 (*.f64 alpha 2)) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 4 (*.f64 alpha 2)) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (*.f64 alpha -2) (+.f64 4 (*.f64 alpha 2))))) (/.f64 (pow.f64 beta 4) (+.f64 4 (*.f64 alpha 2))))))))))) (fma.f64 -2 (/.f64 alpha beta) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))))) |
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1 |
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 4 (/.f64 1 beta)))) |
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(-.f64 (fma.f64 -2 (/.f64 alpha beta) 1) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta))) |
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(-.f64 (+.f64 (fma.f64 -2 (/.f64 alpha beta) 1) (-.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (/.f64 (fma.f64 (fma.f64 alpha 2 4) (-.f64 (*.f64 alpha alpha) (fma.f64 (fma.f64 alpha 2 4) (fma.f64 alpha -2 (fma.f64 alpha -2 -4)) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 alpha -2 (fma.f64 alpha -2 -4)))) (pow.f64 beta 3)))) (+.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta)) (+.f64 (*.f64 (/.f64 (fma.f64 alpha -2 (fma.f64 alpha -2 -4)) beta) (/.f64 (fma.f64 alpha 2 4) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 alpha) (*.f64 -2 (+.f64 2 alpha))) beta))) |
(+.f64 1 (neg.f64 (/.f64 (+.f64 (*.f64 alpha 2) (*.f64 2 (+.f64 alpha 2))) beta))) |
(-.f64 1 (/.f64 (fma.f64 alpha 2 (fma.f64 alpha 2 4)) beta)) |
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(/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) |
(/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) |
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(+.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (*.f64 -2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 6)) (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (*.f64 -2 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3))))) |
(fma.f64 (-.f64 (*.f64 -2 (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 4) (+.f64 4 (*.f64 2 beta))))) alpha (+.f64 (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (+.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 4)) (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (*.f64 -2 (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 4) (+.f64 4 (*.f64 2 beta)))))) (pow.f64 (+.f64 2 beta) 2)))) (*.f64 alpha alpha) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (pow.f64 alpha 3) (-.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 6) (+.f64 4 (*.f64 2 beta)))) (+.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (+.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 4)) (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (*.f64 -2 (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 4) (+.f64 4 (*.f64 2 beta)))))) (pow.f64 (+.f64 2 beta) 2)))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 4 (*.f64 2 beta)))) (*.f64 -2 (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))))))) |
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1 |
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 beta alpha))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha)))) |
(+.f64 1 (-.f64 (*.f64 -2 (/.f64 beta alpha)) (fma.f64 2 (/.f64 beta alpha) (/.f64 4 alpha)))) |
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(*.f64 1/2 (/.f64 (-.f64 (+.f64 4 (*.f64 2 beta)) (*.f64 -2 beta)) alpha)) |
(*.f64 (/.f64 (+.f64 4 (-.f64 (*.f64 2 beta) (*.f64 beta -2))) alpha) 1/2) |
(*.f64 (/.f64 (+.f64 4 (*.f64 beta 4)) alpha) 1/2) |
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(*.f64 -1/2 (/.f64 (-.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 2 beta)) alpha)) |
(*.f64 (/.f64 (+.f64 (+.f64 (*.f64 beta -2) -4) (*.f64 beta -2)) alpha) -1/2) |
(/.f64 (*.f64 -1/2 (fma.f64 beta -2 (fma.f64 beta -2 -4))) alpha) |
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(fma.f64 1/2 (/.f64 (-.f64 (fma.f64 (fma.f64 beta -2 -4) (fma.f64 2 beta (fma.f64 2 beta 4)) (pow.f64 (+.f64 2 beta) 2)) (*.f64 beta beta)) (*.f64 alpha alpha)) (fma.f64 (/.f64 (fma.f64 beta -2 (fma.f64 beta -2 -4)) alpha) -1/2 (*.f64 -1/4 (/.f64 (+.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 alpha alpha) (fma.f64 beta -2 (fma.f64 beta -2 -4))))))) |
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(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
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(pow.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) -1) |
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(fabs.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
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(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) 3) (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) 3))) |
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(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2))) (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))) |
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 1)) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (-.f64 alpha -2) beta)) 2))) (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (-.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
| ✓ | 1.3b | (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) |
| 2.9b | (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) | |
| ✓ | 3.0b | (-.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
Compiled 267 to 140 computations (47.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | beta | @ | 0 | (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (-.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
| 28.0ms | alpha | @ | -inf | (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (-.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
| 16.0ms | beta | @ | 0 | (-.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
| 16.0ms | alpha | @ | -inf | (-.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
| 14.0ms | alpha | @ | inf | (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (-.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
| 1× | batch-egg-rewrite |
| 282× | add-sqr-sqrt_binary64 |
| 277× | pow1_binary64 |
| 275× | *-un-lft-identity_binary64 |
| 265× | add-log-exp_binary64 |
| 265× | log1p-expm1-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 111 |
| 1 | 535 | 69 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (-.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 554× | *-commutative_binary64 |
| 460× | +-commutative_binary64 |
| 401× | div-sub_binary64 |
| 314× | fma-def_binary64 |
| 262× | associate-+r+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1774 | 67874 |
| 1 | 6710 | 67586 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (/.f64 (pow.f64 alpha 2) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) |
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2 |
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2 |
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(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha) |
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) beta) alpha)) |
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(pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 1) |
(pow.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 3) 1/3) |
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 3) |
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 2) |
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 2)) |
(log.f64 (exp.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 3)) |
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
(exp.f64 (log1p.f64 (neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 1)) |
(+.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) (neg.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(-.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) 1) |
(*.f64 1 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 2)) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(*.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))) (/.f64 1 (neg.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(*.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 2))) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))) 2) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 2))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 2))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))) 2) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)))) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 2)) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) -3) (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 3))) (+.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) -2) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 2) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 2))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) -2) (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 2))) (*.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)))) |
(pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 1) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) 3) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) 2) |
(pow.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))) -1) |
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (neg.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) 3) (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))) (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))) (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 1)) |
| Outputs |
|---|
(-.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (/.f64 (pow.f64 alpha 2) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) |
(-.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (*.f64 alpha alpha) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2)))) |
(-.f64 (+.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 alpha 2)) (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (*.f64 -2 (/.f64 alpha (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))))) beta)) (/.f64 (pow.f64 alpha 2) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) |
(+.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (-.f64 (*.f64 (-.f64 (fma.f64 -1 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (/.f64 (fma.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 4 (*.f64 alpha 2)) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (pow.f64 (+.f64 alpha 2) 4)) (*.f64 alpha alpha)))) (+.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))) (*.f64 -2 (/.f64 alpha (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2)))))) beta) (/.f64 (*.f64 alpha alpha) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2))))) |
(-.f64 (+.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (-.f64 (*.f64 -2 (/.f64 alpha (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 alpha 2)) (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 4))))) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (+.f64 (*.f64 (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 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 4 (*.f64 2 alpha))))) (/.f64 alpha (+.f64 2 alpha)))) (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 (*.f64 -1 (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 -1 (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 3)))) (/.f64 1 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))))) (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 4 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 alpha 2)) (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (*.f64 -2 (/.f64 alpha (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))))) beta))) (/.f64 (pow.f64 alpha 2) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) |
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(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) 2))) (*.f64 -2 (/.f64 beta (*.f64 (-.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))))) alpha) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 beta (*.f64 (-.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) (+.f64 4 (*.f64 2 beta))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2))))) (*.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) (+.f64 4 (*.f64 2 beta))))) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)))) (*.f64 -1 (/.f64 beta (+.f64 beta 2))))) (*.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) 3))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) 2) (pow.f64 (+.f64 beta 2) 3))))))) (pow.f64 alpha 2)) (/.f64 1 (-.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2))))))) (/.f64 (pow.f64 beta 2) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) |
(-.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) 2)) (/.f64 (fma.f64 (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) (+.f64 4 (*.f64 2 beta)) (*.f64 (neg.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (+.f64 2 beta) 4))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) 2)) (*.f64 -2 (/.f64 (/.f64 beta (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta)))) (pow.f64 (+.f64 2 beta) 2))))) alpha (fma.f64 (+.f64 (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) 2)) (/.f64 (+.f64 1 (-.f64 (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 4 (*.f64 2 beta))) (*.f64 (+.f64 2 beta) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 (neg.f64 beta) (+.f64 2 beta)))) (pow.f64 (+.f64 2 beta) 4))) (-.f64 (/.f64 (-.f64 (*.f64 -2 (/.f64 (/.f64 beta (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta)))) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) 2)) (/.f64 (fma.f64 (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) (+.f64 4 (*.f64 2 beta)) (*.f64 (neg.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (+.f64 2 beta) 4)))) (/.f64 (*.f64 (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) (+.f64 4 (*.f64 2 beta)) (*.f64 (neg.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 (+.f64 2 beta) 2))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (pow.f64 (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) 3)) (+.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) 2))) (/.f64 1 (*.f64 (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (*.f64 (pow.f64 (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) 2) (pow.f64 (+.f64 2 beta) 3))))))) (*.f64 alpha alpha) (/.f64 1 (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta)))))) (/.f64 (/.f64 (*.f64 beta beta) (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta)))) (pow.f64 (+.f64 2 beta) 2))) |
(-.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) 2)) (/.f64 (fma.f64 (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) (+.f64 4 (*.f64 2 beta)) (neg.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (pow.f64 (+.f64 2 beta) 4))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) 2)) (*.f64 -2 (/.f64 (/.f64 beta (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta)))) (pow.f64 (+.f64 2 beta) 2))))) alpha (fma.f64 (+.f64 (/.f64 (*.f64 (*.f64 beta beta) (+.f64 1 (-.f64 (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 4 (*.f64 2 beta))) (*.f64 (+.f64 2 beta) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 (neg.f64 beta) (+.f64 2 beta))))) (*.f64 (pow.f64 (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) 2) (pow.f64 (+.f64 2 beta) 4))) (-.f64 (/.f64 (-.f64 (*.f64 -2 (/.f64 (/.f64 beta (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta)))) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) 2)) (/.f64 (fma.f64 (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) (+.f64 4 (*.f64 2 beta)) (neg.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (pow.f64 (+.f64 2 beta) 4)))) (/.f64 (*.f64 (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) (+.f64 4 (*.f64 2 beta)) (neg.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (pow.f64 (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) 3)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) 2))) (+.f64 (/.f64 (/.f64 1 (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta)))) (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (*.f64 (pow.f64 (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta))) 2) (pow.f64 (+.f64 2 beta) 3)))))))) (*.f64 alpha alpha) (/.f64 1 (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta)))))) (/.f64 (/.f64 (*.f64 beta beta) (-.f64 1 (/.f64 (neg.f64 beta) (+.f64 2 beta)))) (pow.f64 (+.f64 2 beta) 2))) |
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) 2))) (*.f64 -2 (/.f64 beta (*.f64 (-.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))))) alpha) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 beta (*.f64 (-.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 (-.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) (+.f64 4 (*.f64 2 beta))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 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2)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 4 (*.f64 2 beta))) (+.f64 beta 2))))) (*.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) 2) (pow.f64 (+.f64 beta 2) 4))))) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) 3))) (/.f64 beta (*.f64 (pow.f64 (-.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) 2) (pow.f64 (+.f64 beta 2) 3)))))) (-.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta 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beta)))))) (/.f64 (-.f64 (+.f64 (neg.f64 beta) -2) beta) (fma.f64 -1 (*.f64 beta (+.f64 2 beta)) (fma.f64 -2 (*.f64 (+.f64 2 beta) (-.f64 (+.f64 (neg.f64 beta) -2) beta)) (neg.f64 (pow.f64 (+.f64 2 beta) 2)))))))))))) (*.f64 (*.f64 alpha alpha) (-.f64 (+.f64 (neg.f64 beta) -2) beta))) (*.f64 -2 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 2 beta) (fma.f64 -1 (pow.f64 (+.f64 2 beta) 3) (*.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 2)))) (*.f64 alpha alpha)) (pow.f64 (-.f64 (+.f64 (neg.f64 beta) -2) beta) 2)) (/.f64 (+.f64 2 beta) (-.f64 (+.f64 (neg.f64 beta) -2) beta))))))))) (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (-.f64 (+.f64 (neg.f64 beta) -2) beta) 2) (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 (-.f64 (+.f64 (neg.f64 beta) -2) beta) 2)) (/.f64 (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (-.f64 (+.f64 (neg.f64 beta) -2) beta) 2) (+.f64 2 beta))) (/.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (-.f64 (+.f64 (neg.f64 beta) -2) beta) 2))) (/.f64 (-.f64 (+.f64 (neg.f64 beta) -2) beta) (*.f64 -1 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)))))))) (/.f64 (*.f64 (*.f64 alpha alpha) (-.f64 (+.f64 (neg.f64 beta) -2) beta)) (*.f64 -1 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))))) (fma.f64 -1 (/.f64 (*.f64 (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 (-.f64 (+.f64 (neg.f64 beta) -2) beta) 2) (+.f64 2 beta))) (/.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (-.f64 (+.f64 (neg.f64 beta) -2) beta) 2))) (fma.f64 -1 (pow.f64 (+.f64 2 beta) 3) (*.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (*.f64 alpha alpha) (-.f64 (+.f64 (neg.f64 beta) -2) beta))) (/.f64 (*.f64 2 beta) (-.f64 (+.f64 (neg.f64 beta) -2) beta))))) |
(-.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(-.f64 (+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) 1) (/.f64 alpha (+.f64 2 alpha))) |
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(-.f64 (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))) (+.f64 1 (*.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))))) (/.f64 alpha (+.f64 alpha 2))) |
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 2 alpha) (-.f64 (*.f64 -1 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 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
(-.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (fma.f64 alpha -1 -2) alpha))) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.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)) (+.f64 2 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta)))) |
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(-.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (fma.f64 alpha -1 -2) alpha))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (fma.f64 alpha -1 -2) alpha))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))) |
2 |
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) beta))) |
(+.f64 2 (neg.f64 (/.f64 (-.f64 alpha (+.f64 -2 (neg.f64 alpha))) beta))) |
(+.f64 2 (+.f64 (/.f64 (*.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) (+.f64 2 alpha)) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) beta)))) |
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(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) |
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))) 2) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 2))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
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(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 2)) (-.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2))))) |
(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) |
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(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) -3) (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 3))) (+.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) -2) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 2) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 2))))) |
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(*.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) -2) (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 2))) (*.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)))) |
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(*.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2))) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (-.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) -2) (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 2)))) |
(pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 1) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) |
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 3) 1/3) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) 3) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) 2) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) |
(pow.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))) -1) |
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))) |
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)))) |
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (neg.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
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(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (+.f64 -1 (/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 (-.f64 -2 beta) alpha)))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) 2)) |
(fabs.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 3)) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) 3) (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 3))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))) (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2))) (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 1)) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) |
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
Compiled 254753 to 178663 computations (29.9% saved)
22 alts after pruning (17 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1799 | 11 | 1810 |
| Fresh | 3 | 6 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 5 | 7 |
| Total | 1805 | 22 | 1827 |
| Status | Error | Program |
|---|---|---|
| ▶ | 16.5b | (/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2) |
| 33.3b | (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) 3) (-.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) 2) | |
| ▶ | 32.6b | (/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) (/.f64 (-.f64 alpha (-.f64 -2 beta)) (-.f64 beta alpha)))) (-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) 1)) 2) |
| 32.3b | (/.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (*.f64 alpha alpha) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2))))) 2) | |
| 31.4b | (/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2) | |
| ✓ | 45.4b | (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
| 31.4b | (/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) 2) | |
| ✓ | 48.6b | (/.f64 (/.f64 2 alpha) 2) |
| ▶ | 49.5b | (/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
| 49.5b | (/.f64 (-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) 2) | |
| ✓ | 31.3b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| 32.9b | (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) | |
| ✓ | 16.3b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 17.4b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) | |
| ▶ | 49.3b | (/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2) |
| 45.4b | (/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) | |
| 45.6b | (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) | |
| 31.0b | (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 3)) (/.f64 1 (+.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 alpha 2)) 1)))) 2) | |
| 58.4b | (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) | |
| 49.4b | (/.f64 (exp.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (fma.f64 1/6 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 3) -2) (pow.f64 alpha 3)) (-.f64 (log.f64 (+.f64 beta (+.f64 2 beta))) (log.f64 alpha)))))) 2) | |
| ✓ | 40.8b | (/.f64 2 2) |
| ▶ | 31.9b | (/.f64 1 2) |
Compiled 919 to 675 computations (26.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
| ✓ | 16.5b | (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) |
Compiled 50 to 31 computations (38% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) |
| 1.0ms | beta | @ | 0 | (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) |
| 1.0ms | alpha | @ | inf | (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) |
| 1.0ms | beta | @ | inf | (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) |
| 1.0ms | alpha | @ | -inf | (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) |
| 1× | batch-egg-rewrite |
| 906× | prod-diff_binary64 |
| 498× | log-prod_binary64 |
| 428× | fma-def_binary64 |
| 234× | fma-neg_binary64 |
| 207× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 1 | 230 | 26 |
| 2 | 3281 | 26 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) |
(/.f64 1 (+.f64 beta (+.f64 alpha 2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 beta (+.f64 alpha 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1)))))) |
| 1× | egg-herbie |
| 566× | associate-/l*_binary64 |
| 456× | distribute-rgt-in_binary64 |
| 436× | distribute-lft-in_binary64 |
| 342× | unswap-sqr_binary64 |
| 248× | unsub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 326 | 2765 |
| 1 | 933 | 2621 |
| 2 | 3197 | 2459 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))))))) |
2 |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3))))))))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (/.f64 beta (+.f64 beta 2)))) |
(+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 3)) (/.f64 beta (+.f64 beta 2)))))) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 2 (/.f64 1 alpha))))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 2 (/.f64 1 alpha))))))))) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))))) |
(/.f64 1 (+.f64 2 alpha)) |
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (+.f64 2 alpha))) |
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (+.f64 2 alpha)))) |
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (+.f64 2 alpha))))) |
(/.f64 1 beta) |
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2)))) |
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))) |
(/.f64 1 beta) |
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2)))) |
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))) |
(/.f64 1 (+.f64 beta 2)) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)))) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))))) |
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 4))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)))))) |
(/.f64 1 alpha) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha)))) |
(/.f64 1 alpha) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 0 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(+.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 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1) |
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) |
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) |
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3) |
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) |
(log1p.f64 (expm1.f64 (+.f64 1 (/.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)) |
(+.f64 0 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 1) |
(*.f64 1 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) |
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2)) |
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta) (*.f64 beta beta))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(pow.f64 (+.f64 beta (+.f64 alpha 2)) -1) |
(pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3) 1/3) |
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 3) |
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 2) |
(pow.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) -1) |
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1)) |
| Outputs |
|---|
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))) |
(+.f64 1 (neg.f64 (/.f64 alpha (+.f64 alpha 2)))) |
(-.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (+.f64 1 (neg.f64 (/.f64 alpha (+.f64 alpha 2))))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (+.f64 1 (fma.f64 (*.f64 beta beta) (-.f64 (neg.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (neg.f64 (/.f64 alpha (+.f64 alpha 2)))))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (*.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))))) |
(+.f64 (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1)) |
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))))))) |
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (+.f64 1 (fma.f64 (*.f64 beta beta) (-.f64 (neg.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 -1 (/.f64 alpha (+.f64 alpha 2)) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))))) |
(+.f64 (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))) (/.f64 alpha (+.f64 alpha 2)))) (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1)) |
(+.f64 (-.f64 (*.f64 (*.f64 beta beta) (+.f64 (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) beta))) (/.f64 alpha (+.f64 alpha 2))) (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1)) |
2 |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))) |
(fma.f64 -1 (/.f64 alpha beta) (+.f64 2 (neg.f64 (/.f64 (+.f64 alpha 2) beta)))) |
(-.f64 (-.f64 2 (/.f64 (+.f64 alpha 2) beta)) (/.f64 alpha beta)) |
(+.f64 (/.f64 (-.f64 -2 alpha) beta) (-.f64 2 (/.f64 alpha beta))) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) |
(fma.f64 -1 (/.f64 alpha beta) (+.f64 2 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))))) |
(+.f64 (-.f64 (-.f64 2 (/.f64 (+.f64 alpha 2) beta)) (/.f64 alpha beta)) (+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(+.f64 (-.f64 2 (/.f64 (+.f64 alpha 2) beta)) (-.f64 (*.f64 (/.f64 (+.f64 alpha 2) beta) (+.f64 (/.f64 (+.f64 alpha 2) beta) (/.f64 alpha beta))) (/.f64 alpha beta))) |
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3))))))))) |
(fma.f64 -1 (/.f64 alpha beta) (+.f64 2 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (neg.f64 (/.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3))))))))) |
(+.f64 (-.f64 (-.f64 2 (/.f64 (+.f64 alpha 2) beta)) (/.f64 alpha beta)) (+.f64 (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta)) (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 alpha (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))) |
(+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (*.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) alpha)) (pow.f64 (/.f64 (+.f64 alpha 2) beta) 3)) (*.f64 (/.f64 (+.f64 alpha 2) beta) (+.f64 -1 (/.f64 alpha beta)))) (-.f64 2 (/.f64 alpha beta))) |
2 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) |
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) |
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) |
(+.f64 (+.f64 (-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta)) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) |
(+.f64 2 (-.f64 (*.f64 (/.f64 (+.f64 alpha 2) beta) (+.f64 (/.f64 (+.f64 alpha 2) beta) (/.f64 alpha beta))) (/.f64 (fma.f64 alpha 2 2) beta))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))) |
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (fma.f64 -1 (/.f64 (fma.f64 (pow.f64 (+.f64 alpha 2) 2) alpha (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))) |
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(+.f64 2 (-.f64 (-.f64 (*.f64 (/.f64 (+.f64 alpha 2) beta) (+.f64 (/.f64 (+.f64 alpha 2) beta) (/.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (+.f64 (+.f64 alpha 2) alpha)))) (/.f64 (fma.f64 alpha 2 2) beta))) |
(+.f64 1 (/.f64 beta (+.f64 beta 2))) |
(+.f64 1 (/.f64 beta (+.f64 2 beta))) |
(+.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (/.f64 beta (+.f64 beta 2)))) |
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(+.f64 1 (fma.f64 alpha (fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (/.f64 -1 (+.f64 2 beta))) (/.f64 beta (+.f64 2 beta)))) |
(+.f64 1 (fma.f64 alpha (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (/.f64 -1 (+.f64 2 beta))) (/.f64 beta (+.f64 2 beta)))) |
(+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (/.f64 beta (+.f64 beta 2))))) |
(+.f64 1 (fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 alpha alpha) (fma.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 beta))) alpha (/.f64 beta (+.f64 2 beta))))) |
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(+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 3)) (/.f64 beta (+.f64 beta 2)))))) |
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) |
(fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha)))) |
(-.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))) |
(+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (-.f64 -2 beta)) (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 2 (/.f64 1 alpha))))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))))))) |
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(+.f64 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (*.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (+.f64 -1 (/.f64 beta alpha))))) (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (-.f64 -2 beta)) (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3))) |
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 2 (/.f64 1 alpha))))))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (+.f64 (/.f64 2 alpha) (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))))))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (-.f64 (-.f64 (+.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 3))) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha)))) |
(+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (-.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (*.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (+.f64 -1 (/.f64 beta alpha))))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 (+.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha alpha)))))) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) |
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha) |
(/.f64 (fma.f64 2 beta 2) alpha) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))) |
(fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 beta (+.f64 2 beta))) alpha) (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))) |
(-.f64 (-.f64 (/.f64 (*.f64 (fma.f64 -1 beta -2) beta) (*.f64 alpha alpha)) (/.f64 (-.f64 (fma.f64 -1 beta -2) beta) alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) |
(+.f64 (-.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (-.f64 -2 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (fma.f64 2 beta 2) alpha)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))) |
(fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 beta (+.f64 2 beta))) alpha) (*.f64 -1 (+.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 2 beta) 3) (*.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 2))) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (-.f64 (fma.f64 -1 beta -2) beta) alpha)) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))) |
(+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (-.f64 -2 beta)) (+.f64 (-.f64 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 2 beta 2)) (pow.f64 alpha 3)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))))) |
(fma.f64 -1 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 -1 (/.f64 beta (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 beta (+.f64 2 beta))) alpha) (fma.f64 -1 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 2 beta) 3) (*.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 2))) (pow.f64 alpha 3)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))))))) |
(-.f64 (-.f64 (-.f64 (-.f64 (-.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (-.f64 (fma.f64 -1 beta -2) beta) alpha)) (*.f64 (/.f64 beta (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 3))) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))) |
(-.f64 (+.f64 (/.f64 (fma.f64 2 beta 2) alpha) (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 2 beta 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 4))))) (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 (+.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha alpha))))) |
(/.f64 1 (+.f64 2 alpha)) |
(/.f64 1 (+.f64 alpha 2)) |
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (+.f64 2 alpha))) |
(fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) |
(-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 beta (pow.f64 (+.f64 alpha 2) 2))) |
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (+.f64 2 alpha)))) |
(fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 3)))) |
(-.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 3) beta))) (/.f64 beta (pow.f64 (+.f64 alpha 2) 2))) |
(+.f64 (/.f64 1 (+.f64 alpha 2)) (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) (+.f64 -1 (/.f64 beta (+.f64 alpha 2))))) |
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (+.f64 2 alpha))))) |
(fma.f64 -1 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4)) (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 3))))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 3) beta))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 beta (pow.f64 (+.f64 alpha 2) 2))) |
(-.f64 (+.f64 (/.f64 1 (+.f64 alpha 2)) (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) (+.f64 -1 (/.f64 beta (+.f64 alpha 2))))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4))) |
(/.f64 1 beta) |
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2)))) |
(+.f64 (/.f64 1 beta) (neg.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)))) |
(-.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha 2) (*.f64 beta beta))) |
(+.f64 (/.f64 1 beta) (/.f64 (-.f64 -2 alpha) (*.f64 beta beta))) |
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))) |
(+.f64 (/.f64 1 beta) (fma.f64 -1 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))) |
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)) (/.f64 (+.f64 alpha 2) (*.f64 beta beta)))) |
(+.f64 (/.f64 1 beta) (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (+.f64 -1 (/.f64 (+.f64 alpha 2) beta)))) |
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(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) -2))) |
(/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) -2))) |
(/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) |
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2)) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2))) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta) (*.f64 beta beta))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (fma.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)) (*.f64 beta beta))) |
(/.f64 (fma.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)) (*.f64 beta beta)) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2))) |
(/.f64 (+.f64 (-.f64 beta alpha) -2) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) |
(/.f64 (+.f64 beta (-.f64 -2 alpha)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (+.f64 beta (+.f64 alpha 2)) -1) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3) 1/3) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 3) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 2) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(pow.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) -1) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3)) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))))) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1)) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1)) |
(/.f64 1 (+.f64 (+.f64 alpha 2) beta)) |
(/.f64 1 (+.f64 alpha (+.f64 2 beta))) |
Compiled 7 to 7 computations (0% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
| ✓ | 0.3b | (/.f64 4 (*.f64 alpha alpha)) |
Compiled 36 to 21 computations (41.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (/.f64 4 (*.f64 alpha alpha)) |
| 0.0ms | alpha | @ | 0 | (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
| 0.0ms | alpha | @ | inf | (/.f64 4 (*.f64 alpha alpha)) |
| 0.0ms | alpha | @ | -inf | (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
| 0.0ms | alpha | @ | inf | (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
| 1× | batch-egg-rewrite |
| 613× | unpow-prod-down_binary64 |
| 394× | log-prod_binary64 |
| 375× | fma-def_binary64 |
| 247× | pow-prod-down_binary64 |
| 232× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 1 | 191 | 17 |
| 2 | 2795 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4 (*.f64 alpha alpha)) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 4 (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 4 (pow.f64 alpha -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (pow.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (pow.f64 (/.f64 1 (neg.f64 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (pow.f64 alpha -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 alpha -1) (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 alpha) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 alpha) (*.f64 (*.f64 -4 (pow.f64 alpha -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (*.f64 4 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (*.f64 4 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 4 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -4 (pow.f64 alpha -2)) (/.f64 2 alpha))))) 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(pow.f64 alpha -2))) (sqrt.f64 (*.f64 -4 (pow.f64 alpha -2))) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 4 (pow.f64 alpha -2)) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (*.f64 4 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (*.f64 4 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 4 (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha) (/.f64 2 alpha)))))) |
| 1× | egg-herbie |
| 605× | fma-neg_binary64 |
| 456× | unswap-sqr_binary64 |
| 314× | div-sub_binary64 |
| 240× | sqr-pow_binary64 |
| 208× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 442 | 4294970614 |
| 1 | 1212 | 2805 |
| 2 | 4143 | 2769 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 -4 (pow.f64 alpha 2)) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(+.f64 0 (*.f64 4 (pow.f64 alpha -2))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (pow.f64 alpha -2)))) 1) |
(*.f64 4 (pow.f64 alpha -2)) |
(*.f64 4 (pow.f64 (/.f64 1 (neg.f64 alpha)) 2)) |
(*.f64 (*.f64 4 (pow.f64 alpha -2)) 1) |
(*.f64 2 (*.f64 (pow.f64 alpha -1) (/.f64 2 alpha))) |
(*.f64 (/.f64 2 alpha) (/.f64 2 alpha)) |
(*.f64 1 (*.f64 4 (pow.f64 alpha -2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4)) |
(*.f64 (sqrt.f64 (/.f64 2 alpha)) (pow.f64 (/.f64 2 alpha) 3/2)) |
(*.f64 -4 (/.f64 1 (*.f64 alpha (neg.f64 alpha)))) |
(*.f64 -4 (pow.f64 (/.f64 1 (*.f64 alpha (neg.f64 alpha))) 1)) |
(*.f64 (pow.f64 alpha -2) 4) |
(*.f64 (/.f64 4 alpha) (pow.f64 alpha -1)) |
(*.f64 (pow.f64 (/.f64 2 alpha) 3/2) (sqrt.f64 (/.f64 2 alpha))) |
(*.f64 (*.f64 (/.f64 2 alpha) 2) (pow.f64 alpha -1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 5) (cbrt.f64 (/.f64 2 alpha))) |
(*.f64 (pow.f64 1 1/3) (*.f64 4 (pow.f64 alpha -2))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) 3) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) 3)) |
(*.f64 (pow.f64 (*.f64 (/.f64 2 alpha) 2) 1) (pow.f64 alpha -1)) |
(*.f64 (pow.f64 (cbrt.f64 4) 3) (pow.f64 alpha -2)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) 2) 3) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) |
(*.f64 (pow.f64 64 1/3) (pow.f64 alpha -2)) |
(*.f64 (pow.f64 (*.f64 (*.f64 16 (pow.f64 alpha -4)) 4) 1/3) (cbrt.f64 (pow.f64 alpha -2))) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) 2) 2) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2))) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 2 alpha) 5/2) 2) 1/3) (cbrt.f64 (/.f64 2 alpha))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 alpha alpha) 1/4)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) |
(pow.f64 (*.f64 4 (pow.f64 alpha -2)) 1) |
(pow.f64 (/.f64 2 alpha) 2) |
(pow.f64 (*.f64 16 (pow.f64 alpha -4)) 1/2) |
(pow.f64 (cbrt.f64 (/.f64 2 alpha)) 6) |
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) 3) |
(pow.f64 (sqrt.f64 (/.f64 2 alpha)) 4) |
(pow.f64 (pow.f64 (*.f64 alpha 1/2) -3) 2/3) |
(pow.f64 (*.f64 64 (pow.f64 alpha -6)) 1/3) |
(pow.f64 (*.f64 (*.f64 alpha alpha) 1/4) -1) |
(pow.f64 (*.f64 alpha 1/2) -2) |
(pow.f64 (pow.f64 (*.f64 alpha 1/2) 2) -1) |
(pow.f64 (/.f64 (*.f64 (*.f64 alpha alpha) 1/4) 1) -1) |
(sqrt.f64 (*.f64 16 (pow.f64 alpha -4))) |
(log.f64 (pow.f64 (exp.f64 4) (pow.f64 alpha -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (pow.f64 alpha -2))))) |
(cbrt.f64 (*.f64 64 (pow.f64 alpha -6))) |
(expm1.f64 (log1p.f64 (*.f64 4 (pow.f64 alpha -2)))) |
(log1p.f64 (expm1.f64 (*.f64 4 (pow.f64 alpha -2)))) |
(exp.f64 (*.f64 2 (log.f64 (/.f64 2 alpha)))) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 2 alpha))) 1)) |
(exp.f64 (*.f64 (log.f64 (/.f64 2 alpha)) 2)) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 alpha)))) 3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 64 (pow.f64 alpha -6))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 alpha alpha) 1/4)) -1)) |
(+.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) |
(+.f64 (/.f64 2 alpha) (*.f64 (*.f64 -4 (pow.f64 alpha -2)) 1)) |
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2)))) |
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (*.f64 4 (pow.f64 alpha -2)))) |
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (*.f64 4 (pow.f64 alpha -2)))) |
(+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 4 (pow.f64 alpha -2)))) |
(+.f64 (*.f64 -4 (pow.f64 alpha -2)) (/.f64 2 alpha)) |
(+.f64 0 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))))) |
(*.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1) |
(*.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(*.f64 (fma.f64 (*.f64 alpha alpha) 2 (*.f64 (neg.f64 alpha) 4)) (pow.f64 alpha -3)) |
(*.f64 (fma.f64 (*.f64 alpha alpha) 2 (*.f64 (neg.f64 alpha) 4)) (pow.f64 (pow.f64 alpha -3) 1)) |
(*.f64 (-.f64 (pow.f64 (*.f64 alpha 1/2) -3) (*.f64 64 (pow.f64 alpha -6))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (pow.f64 (*.f64 alpha 1/2) -3))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 alpha 1/2) -3) (*.f64 64 (pow.f64 alpha -6))) (pow.f64 (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (pow.f64 (*.f64 alpha 1/2) -3)))) 1)) |
(*.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)))) |
(*.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 16 (pow.f64 alpha -4))) (pow.f64 (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) 1)) |
(*.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha))) |
(*.f64 (pow.f64 1 1/3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) 1) (pow.f64 (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) 1)) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3)) 1/3)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 2) 3) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 3)) |
(/.f64 1 (/.f64 (pow.f64 alpha 3) (fma.f64 (*.f64 alpha alpha) 2 (*.f64 (neg.f64 alpha) 4)))) |
(/.f64 1 (/.f64 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (pow.f64 (*.f64 alpha 1/2) -3))) (-.f64 (pow.f64 (*.f64 alpha 1/2) -3) (*.f64 64 (pow.f64 alpha -6))))) |
(/.f64 1 (/.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)) (-.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 16 (pow.f64 alpha -4))))) |
(/.f64 (fma.f64 (*.f64 alpha alpha) 2 (*.f64 (neg.f64 alpha) 4)) (pow.f64 alpha 3)) |
(/.f64 (-.f64 (pow.f64 (*.f64 alpha 1/2) -3) (*.f64 64 (pow.f64 alpha -6))) (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (pow.f64 (*.f64 alpha 1/2) -3)))) |
(/.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 16 (pow.f64 alpha -4))) (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 alpha alpha) 2 (*.f64 (neg.f64 alpha) 4))) (neg.f64 (pow.f64 alpha 3))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 alpha 1/2) -3) (*.f64 64 (pow.f64 alpha -6)))) (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (pow.f64 (*.f64 alpha 1/2) -3))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 16 (pow.f64 alpha -4)))) (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)))) |
(/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 (*.f64 alpha 1/2) 4)) (*.f64 (*.f64 alpha 1/2) (*.f64 alpha alpha))) |
(/.f64 (-.f64 (*.f64 -2 (*.f64 alpha alpha)) (*.f64 (neg.f64 alpha) 4)) (*.f64 (neg.f64 alpha) (*.f64 alpha alpha))) |
(/.f64 (-.f64 (*.f64 2 (*.f64 (*.f64 alpha alpha) 1/4)) alpha) (*.f64 alpha (*.f64 (*.f64 alpha alpha) 1/4))) |
(/.f64 (-.f64 (*.f64 (*.f64 alpha alpha) 1/4) (*.f64 (*.f64 alpha 1/2) 1)) (*.f64 (*.f64 alpha 1/2) (*.f64 (*.f64 alpha alpha) 1/4))) |
(/.f64 (-.f64 (*.f64 -2 (*.f64 (*.f64 alpha alpha) 1/4)) (*.f64 (neg.f64 alpha) 1)) (*.f64 (neg.f64 alpha) (*.f64 (*.f64 alpha alpha) 1/4))) |
(/.f64 (-.f64 (*.f64 2 (*.f64 alpha (neg.f64 alpha))) (*.f64 alpha -4)) (*.f64 alpha (*.f64 alpha (neg.f64 alpha)))) |
(/.f64 (-.f64 (*.f64 alpha (neg.f64 alpha)) (*.f64 (*.f64 alpha 1/2) -4)) (*.f64 (*.f64 alpha 1/2) (*.f64 alpha (neg.f64 alpha)))) |
(/.f64 (-.f64 (*.f64 -2 (*.f64 alpha (neg.f64 alpha))) (*.f64 (neg.f64 alpha) -4)) (*.f64 (neg.f64 alpha) (*.f64 alpha (neg.f64 alpha)))) |
(/.f64 (-.f64 (*.f64 2 alpha) (*.f64 alpha (/.f64 4 alpha))) (*.f64 alpha alpha)) |
(/.f64 (-.f64 alpha (*.f64 (*.f64 alpha 1/2) (/.f64 4 alpha))) (*.f64 (*.f64 alpha 1/2) alpha)) |
(/.f64 (-.f64 (*.f64 -2 alpha) (*.f64 (neg.f64 alpha) (/.f64 4 alpha))) (*.f64 alpha (neg.f64 alpha))) |
(/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) |
(/.f64 (fma.f64 8 (pow.f64 alpha -3) (*.f64 -64 (pow.f64 alpha -6))) (fma.f64 4 (pow.f64 alpha -2) (-.f64 (pow.f64 (*.f64 -4 (pow.f64 alpha -2)) 2) (*.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))))) |
(/.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (pow.f64 (*.f64 -4 (pow.f64 alpha -2)) 2)) (-.f64 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 alpha alpha) 2 (*.f64 (neg.f64 alpha) 4)) alpha) (*.f64 alpha alpha)) |
(pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1) |
(pow.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) 1/2) |
(pow.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 3) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) |
(pow.f64 (/.f64 (pow.f64 alpha 3) (fma.f64 (*.f64 alpha alpha) 2 (*.f64 (neg.f64 alpha) 4))) -1) |
(pow.f64 (/.f64 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (pow.f64 (*.f64 alpha 1/2) -3))) (-.f64 (pow.f64 (*.f64 alpha 1/2) -3) (*.f64 64 (pow.f64 alpha -6)))) -1) |
(pow.f64 (/.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)) (-.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 16 (pow.f64 alpha -4)))) -1) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 2 alpha))) (pow.f64 (exp.f64 4) (pow.f64 alpha -2)))) |
(log.f64 (/.f64 (exp.f64 (/.f64 2 alpha)) (+.f64 1 (expm1.f64 (*.f64 4 (pow.f64 alpha -2)))))) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 2 alpha))) (+.f64 1 (expm1.f64 (*.f64 4 (pow.f64 alpha -2)))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 alpha))) (exp.f64 (*.f64 -4 (pow.f64 alpha -2))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 alpha))) (pow.f64 (exp.f64 4) (neg.f64 (pow.f64 alpha -2))))) |
(log.f64 (*.f64 (exp.f64 (*.f64 -4 (pow.f64 alpha -2))) (exp.f64 (/.f64 2 alpha)))) |
(log.f64 (*.f64 (exp.f64 (*.f64 -4 (pow.f64 alpha -2))) (+.f64 1 (expm1.f64 (/.f64 2 alpha))))) |
(log.f64 (*.f64 (pow.f64 (exp.f64 4) (neg.f64 (pow.f64 alpha -2))) (+.f64 1 (expm1.f64 (/.f64 2 alpha))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(exp.f64 (log.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) 2)) |
(fma.f64 4 (neg.f64 (pow.f64 alpha -2)) (/.f64 2 alpha)) |
(fma.f64 2 (pow.f64 alpha -1) (*.f64 -4 (pow.f64 alpha -2))) |
(fma.f64 2 (pow.f64 alpha -1) (*.f64 (*.f64 -4 (pow.f64 alpha -2)) 1)) |
(fma.f64 2 (sqrt.f64 (pow.f64 alpha -2)) (*.f64 -4 (pow.f64 alpha -2))) |
(fma.f64 2 (sqrt.f64 (pow.f64 alpha -2)) (*.f64 (*.f64 -4 (pow.f64 alpha -2)) 1)) |
(fma.f64 (/.f64 2 alpha) 1 (*.f64 -4 (pow.f64 alpha -2))) |
(fma.f64 (/.f64 2 alpha) 1 (*.f64 (*.f64 -4 (pow.f64 alpha -2)) 1)) |
(fma.f64 (/.f64 2 alpha) (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) |
(fma.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1 (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1 (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 1 (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 1 (/.f64 2 alpha) (*.f64 -4 (pow.f64 alpha -2))) |
(fma.f64 1 (/.f64 2 alpha) (*.f64 (*.f64 -4 (pow.f64 alpha -2)) 1)) |
(fma.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 1 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 1 (*.f64 -4 (pow.f64 alpha -2)) (/.f64 2 alpha)) |
(fma.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (/.f64 2 alpha)) |
(fma.f64 (cbrt.f64 (/.f64 2 alpha)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (*.f64 -4 (pow.f64 alpha -2))) |
(fma.f64 (cbrt.f64 (/.f64 2 alpha)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (*.f64 (*.f64 -4 (pow.f64 alpha -2)) 1)) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 2 alpha)) (*.f64 -4 (pow.f64 alpha -2))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 2 alpha)) (*.f64 (*.f64 -4 (pow.f64 alpha -2)) 1)) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (sqrt.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 -4 (pow.f64 alpha -2))) |
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 (*.f64 -4 (pow.f64 alpha -2)) 1)) |
(fma.f64 -4 (pow.f64 alpha -2) (/.f64 2 alpha)) |
(fma.f64 -2 (/.f64 1 (neg.f64 alpha)) (*.f64 -4 (pow.f64 alpha -2))) |
(fma.f64 -2 (/.f64 1 (neg.f64 alpha)) (*.f64 (*.f64 -4 (pow.f64 alpha -2)) 1)) |
(fma.f64 (fma.f64 (*.f64 alpha alpha) 2 (*.f64 (neg.f64 alpha) 4)) (pow.f64 alpha -3) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (fma.f64 (*.f64 alpha alpha) 2 (*.f64 (neg.f64 alpha) 4)) (pow.f64 alpha -3) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (fma.f64 (*.f64 alpha alpha) 2 (*.f64 (neg.f64 alpha) 4)) (pow.f64 alpha -3) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (fma.f64 (*.f64 alpha alpha) 2 (*.f64 (neg.f64 alpha) 4)) (pow.f64 alpha -3) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (-.f64 (pow.f64 (*.f64 alpha 1/2) -3) (*.f64 64 (pow.f64 alpha -6))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (pow.f64 (*.f64 alpha 1/2) -3)))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (-.f64 (pow.f64 (*.f64 alpha 1/2) -3) (*.f64 64 (pow.f64 alpha -6))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (pow.f64 (*.f64 alpha 1/2) -3)))) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (-.f64 (pow.f64 (*.f64 alpha 1/2) -3) (*.f64 64 (pow.f64 alpha -6))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (pow.f64 (*.f64 alpha 1/2) -3)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (-.f64 (pow.f64 (*.f64 alpha 1/2) -3) (*.f64 64 (pow.f64 alpha -6))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (fma.f64 16 (pow.f64 alpha -4) (pow.f64 (*.f64 alpha 1/2) -3)))) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (pow.f64 alpha -1) 2 (*.f64 -4 (pow.f64 alpha -2))) |
(fma.f64 (pow.f64 alpha -1) 2 (*.f64 (*.f64 -4 (pow.f64 alpha -2)) 1)) |
(fma.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 16 (pow.f64 alpha -4))) (/.f64 1 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -4 (pow.f64 alpha -2))) 2) (cbrt.f64 (*.f64 -4 (pow.f64 alpha -2))) (/.f64 2 alpha)) |
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (*.f64 -4 (pow.f64 alpha -2))) |
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (*.f64 (*.f64 -4 (pow.f64 alpha -2)) 1)) |
(fma.f64 (sqrt.f64 (*.f64 -4 (pow.f64 alpha -2))) (sqrt.f64 (*.f64 -4 (pow.f64 alpha -2))) (/.f64 2 alpha)) |
(fma.f64 -1 (*.f64 4 (pow.f64 alpha -2)) (/.f64 2 alpha)) |
(fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 4 (pow.f64 alpha -2)))) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (/.f64 2 alpha)) |
(fma.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha) (/.f64 2 alpha)) |
| Outputs |
|---|
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(/.f64 4 (pow.f64 alpha 2)) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
(/.f64 -4 (pow.f64 alpha 2)) |
(/.f64 -4 (*.f64 alpha alpha)) |
(*.f64 -4 (pow.f64 alpha -2)) |
(-.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 (/.f64 -4 alpha)) 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 (/.f64 -4 alpha)) 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 (/.f64 -4 alpha)) alpha) |
(/.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 (/.f64 -4 alpha)) 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 (/.f64 -4 alpha)) 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 (/.f64 -4 alpha)) alpha) |
(/.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 (/.f64 -4 alpha)) 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 (/.f64 -4 alpha)) 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 (/.f64 -4 alpha)) alpha) |
(+.f64 0 (*.f64 4 (pow.f64 alpha -2))) |
(/.f64 4 (*.f64 alpha alpha)) |
(*.f64 4 (pow.f64 alpha -2)) |
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(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (fma.f64 (neg.f64 (pow.f64 alpha -2)) 4 (*.f64 4 (pow.f64 alpha -2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (fma.f64 (*.f64 -4 (pow.f64 alpha -2)) 1 (*.f64 4 (pow.f64 alpha -2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4) (*.f64 4 (pow.f64 alpha -2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (+.f64 (*.f64 -4 (pow.f64 alpha -2)) (*.f64 4 (pow.f64 alpha -2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 4)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (/.f64 2 alpha)) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
(fma.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 2 alpha) (/.f64 2 alpha)) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) | |
| ✓ | 0.2b | (/.f64 8 (pow.f64 alpha 3)) |
| 0.3b | (/.f64 4 (*.f64 alpha alpha)) | |
| ✓ | 8.2b | (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
Compiled 67 to 44 computations (34.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (/.f64 8 (pow.f64 alpha 3)) |
| 1.0ms | alpha | @ | 0 | (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
| 0.0ms | alpha | @ | -inf | (/.f64 8 (pow.f64 alpha 3)) |
| 0.0ms | alpha | @ | -inf | (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
| 0.0ms | alpha | @ | inf | (/.f64 8 (pow.f64 alpha 3)) |
| 1× | batch-egg-rewrite |
| 831× | fma-def_binary64 |
| 589× | log-prod_binary64 |
| 492× | fma-neg_binary64 |
| 337× | log-div_binary64 |
| 236× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 29 |
| 1 | 312 | 24 |
| 2 | 4526 | 24 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(/.f64 8 (pow.f64 alpha 3)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 580× | distribute-rgt-in_binary64 |
| 562× | distribute-lft-in_binary64 |
| 280× | times-frac_binary64 |
| 269× | fma-neg_binary64 |
| 241× | unswap-sqr_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 391 | 4295 |
| 1 | 992 | 4025 |
| 2 | 3138 | 3770 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 8 (pow.f64 alpha 3)) |
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.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 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 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (-.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 8 (pow.f64 alpha -3)))) |
(-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (*.f64 4 (pow.f64 alpha -2))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) 1) |
(-.f64 (/.f64 (/.f64 64 (pow.f64 alpha 6)) (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) (/.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1) |
(*.f64 1 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
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(fma.f64 (*.f64 (cbrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha))) (cbrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)))) (cbrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha))) (*.f64 -4 (pow.f64 alpha -2))) |
(fma.f64 (sqrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha))) (sqrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha))) (*.f64 -4 (pow.f64 alpha -2))) |
(fma.f64 (sqrt.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (fma.f64 -4 (pow.f64 alpha -2) (*.f64 8 (pow.f64 alpha -3)))) |
(fma.f64 (sqrt.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (neg.f64 (-.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 8 (pow.f64 alpha -3))))) |
(fma.f64 (pow.f64 (sqrt.f64 (/.f64 2 alpha)) 3) (pow.f64 (sqrt.f64 (/.f64 2 alpha)) 3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(fma.f64 (pow.f64 (/.f64 2 alpha) 3/2) (pow.f64 (/.f64 2 alpha) 3/2) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(fma.f64 (+.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (-.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (*.f64 8 (pow.f64 alpha -3))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (*.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(fma.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) 2) (pow.f64 alpha -1) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(fma.f64 (*.f64 (/.f64 2 alpha) 4) (pow.f64 alpha -2) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(fma.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 2 alpha)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(fma.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) (sqrt.f64 (/.f64 2 alpha))) (sqrt.f64 (/.f64 2 alpha)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(fma.f64 (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4)))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(+.f64 0 (*.f64 8 (pow.f64 alpha -3))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 8) (pow.f64 alpha -3))) (cbrt.f64 (pow.f64 (exp.f64 8) (pow.f64 alpha -3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8) (pow.f64 alpha -3))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8) (pow.f64 alpha -3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8) (pow.f64 alpha -3))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 8 (pow.f64 alpha -3)))) 1) |
(*.f64 8 (pow.f64 alpha -3)) |
(*.f64 8 (pow.f64 (pow.f64 alpha -1) 3)) |
(*.f64 (*.f64 8 (pow.f64 alpha -3)) 1) |
(*.f64 2 (*.f64 (pow.f64 alpha -1) (*.f64 4 (pow.f64 alpha -2)))) |
(*.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) |
(*.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 2 alpha)) |
(*.f64 1 (*.f64 8 (pow.f64 alpha -3))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (*.f64 (cbrt.f64 (/.f64 2 alpha)) (*.f64 4 (pow.f64 alpha -2)))) |
(*.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 4 (pow.f64 alpha -2)))) |
(*.f64 (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2)) (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2))) |
(*.f64 -8 (/.f64 1 (neg.f64 (pow.f64 alpha 3)))) |
(*.f64 (pow.f64 alpha -3) 8) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 2 alpha)) 3) (pow.f64 (sqrt.f64 (/.f64 2 alpha)) 3)) |
(*.f64 (pow.f64 (/.f64 2 alpha) 3/2) (pow.f64 (/.f64 2 alpha) 3/2)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (*.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha))) |
(*.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) 2) (pow.f64 alpha -1)) |
(*.f64 (*.f64 (/.f64 2 alpha) 4) (pow.f64 alpha -2)) |
(*.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 2 alpha))) |
(*.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) (sqrt.f64 (/.f64 2 alpha))) (sqrt.f64 (/.f64 2 alpha))) |
(*.f64 (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4)))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) |
(pow.f64 (*.f64 8 (pow.f64 alpha -3)) 1) |
(pow.f64 (/.f64 2 alpha) 3) |
(pow.f64 (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2)) 2) |
(pow.f64 (*.f64 512 (pow.f64 (pow.f64 alpha -3) 3)) 1/3) |
(pow.f64 (*.f64 (pow.f64 alpha 3) 1/8) -1) |
(sqrt.f64 (/.f64 64 (pow.f64 alpha 6))) |
(log.f64 (pow.f64 (exp.f64 8) (pow.f64 alpha -3))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8 (pow.f64 alpha -3))))) |
(cbrt.f64 (*.f64 512 (pow.f64 (pow.f64 alpha -3) 3))) |
(expm1.f64 (log1p.f64 (*.f64 8 (pow.f64 alpha -3)))) |
(log1p.f64 (expm1.f64 (*.f64 8 (pow.f64 alpha -3)))) |
(exp.f64 (*.f64 3 (log.f64 (/.f64 2 alpha)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 2 alpha)) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 2 alpha))) 1)) |
| Outputs |
|---|
(/.f64 8 (pow.f64 alpha 3)) |
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (*.f64 (pow.f64 alpha -2) -4)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.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 8 (pow.f64 alpha 3)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))) (*.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 8 (pow.f64 alpha 3)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 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 8 (pow.f64 alpha 3)) (/.f64 (+.f64 2 (/.f64 -4 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 8 (pow.f64 alpha 3)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(/.f64 2 alpha) |
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) |
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) |
(/.f64 (+.f64 2 (/.f64 -4 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 8 (pow.f64 alpha 3)) (/.f64 (+.f64 2 (/.f64 -4 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 8 (pow.f64 alpha 3)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(-.f64 (/.f64 2 alpha) (-.f64 (*.f64 4 (pow.f64 alpha -2)) (*.f64 8 (pow.f64 alpha -3)))) |
(+.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) (*.f64 8 (pow.f64 alpha -3))) |
(-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 (pow.f64 alpha -3) -8))) |
(fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(-.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 2 alpha)) (*.f64 4 (pow.f64 alpha -2))) |
(+.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) (*.f64 8 (pow.f64 alpha -3))) |
(-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 (pow.f64 alpha -3) -8))) |
(fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) 1) |
(+.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) (*.f64 8 (pow.f64 alpha -3))) |
(-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 (pow.f64 alpha -3) -8))) |
(fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(-.f64 (/.f64 (/.f64 64 (pow.f64 alpha 6)) (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) (/.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) |
(/.f64 (-.f64 (/.f64 64 (pow.f64 alpha 6)) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)) (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(/.f64 (-.f64 (/.f64 64 (pow.f64 alpha 6)) (pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2)) (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2) (/.f64 -64 (pow.f64 alpha 6))) (fma.f64 (pow.f64 alpha -3) -8 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))) |
(*.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 1) |
(+.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) (*.f64 8 (pow.f64 alpha -3))) |
(-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 (pow.f64 alpha -3) -8))) |
(fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(*.f64 1 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(+.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) (*.f64 8 (pow.f64 alpha -3))) |
(-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 (pow.f64 alpha -3) -8))) |
(fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(*.f64 (cbrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) (cbrt.f64 (pow.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2))) |
(*.f64 (cbrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))) (cbrt.f64 (pow.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2)) (cbrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) |
(*.f64 (cbrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) (cbrt.f64 (pow.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2))) |
(*.f64 (cbrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))) (cbrt.f64 (pow.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) 2))) |
(*.f64 (sqrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) (sqrt.f64 (fma.f64 8 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) |
(+.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) (*.f64 8 (pow.f64 alpha -3))) |
(-.f64 (/.f64 2 alpha) (fma.f64 4 (pow.f64 alpha -2) (*.f64 (pow.f64 alpha -3) -8))) |
(fma.f64 8 (pow.f64 alpha -3) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(*.f64 (fma.f64 512 (pow.f64 (pow.f64 alpha -3) 3) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3)) (/.f64 1 (fma.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (-.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (*.f64 8 (pow.f64 alpha -3))) (/.f64 64 (pow.f64 alpha 6))))) |
(/.f64 (*.f64 (fma.f64 512 (pow.f64 (pow.f64 alpha -3) 3) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3)) 1) (fma.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (*.f64 -8 (pow.f64 alpha -3))) (/.f64 64 (pow.f64 alpha 6)))) |
(/.f64 (fma.f64 512 (pow.f64 (pow.f64 alpha -3) 3) (pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 3)) (fma.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (+.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (*.f64 (pow.f64 alpha -3) -8)) (/.f64 64 (pow.f64 alpha 6)))) |
(/.f64 (fma.f64 512 (pow.f64 (pow.f64 alpha -3) 3) (pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 3)) (fma.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (fma.f64 (pow.f64 alpha -3) -8 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) (/.f64 64 (pow.f64 alpha 6)))) |
(*.f64 (-.f64 (/.f64 64 (pow.f64 alpha 6)) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)) (/.f64 1 (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))) |
(/.f64 (-.f64 (/.f64 64 (pow.f64 alpha 6)) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)) (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(/.f64 (-.f64 (/.f64 64 (pow.f64 alpha 6)) (pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2)) (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2) (/.f64 -64 (pow.f64 alpha 6))) (fma.f64 (pow.f64 alpha -3) -8 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))) |
(/.f64 1 (/.f64 (fma.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (-.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (*.f64 8 (pow.f64 alpha -3))) (/.f64 64 (pow.f64 alpha 6))) (fma.f64 512 (pow.f64 (pow.f64 alpha -3) 3) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3)))) |
(/.f64 (*.f64 (fma.f64 512 (pow.f64 (pow.f64 alpha -3) 3) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3)) 1) (fma.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (*.f64 -8 (pow.f64 alpha -3))) (/.f64 64 (pow.f64 alpha 6)))) |
(/.f64 (fma.f64 512 (pow.f64 (pow.f64 alpha -3) 3) (pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 3)) (fma.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (+.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (*.f64 (pow.f64 alpha -3) -8)) (/.f64 64 (pow.f64 alpha 6)))) |
(/.f64 (fma.f64 512 (pow.f64 (pow.f64 alpha -3) 3) (pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 3)) (fma.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (fma.f64 (pow.f64 alpha -3) -8 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) (/.f64 64 (pow.f64 alpha 6)))) |
(/.f64 1 (/.f64 (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) (-.f64 (/.f64 64 (pow.f64 alpha 6)) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)))) |
(/.f64 (-.f64 (/.f64 64 (pow.f64 alpha 6)) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)) (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha))) |
(/.f64 (-.f64 (/.f64 64 (pow.f64 alpha 6)) (pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2)) (-.f64 (*.f64 8 (pow.f64 alpha -3)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 2) (/.f64 -64 (pow.f64 alpha 6))) (fma.f64 (pow.f64 alpha -3) -8 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))) |
(/.f64 (fma.f64 512 (pow.f64 (pow.f64 alpha -3) 3) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3)) (fma.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (-.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (*.f64 8 (pow.f64 alpha -3))) (/.f64 64 (pow.f64 alpha 6)))) |
(/.f64 (*.f64 (fma.f64 512 (pow.f64 (pow.f64 alpha -3) 3) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3)) 1) (fma.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (*.f64 -8 (pow.f64 alpha -3))) (/.f64 64 (pow.f64 alpha 6)))) |
(/.f64 (fma.f64 512 (pow.f64 (pow.f64 alpha -3) 3) (pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 3)) (fma.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (+.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (*.f64 (pow.f64 alpha -3) -8)) (/.f64 64 (pow.f64 alpha 6)))) |
(/.f64 (fma.f64 512 (pow.f64 (pow.f64 alpha -3) 3) (pow.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) 3)) (fma.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha) (fma.f64 (pow.f64 alpha -3) -8 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) (/.f64 64 (pow.f64 alpha 6)))) |
(/.f64 (fma.f64 512 (pow.f64 (pow.f64 alpha -3) 3) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) (-.f64 (/.f64 64 (pow.f64 alpha 6)) (*.f64 8 (*.f64 (pow.f64 alpha -3) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)))))) |
(/.f64 (*.f64 (fma.f64 512 (pow.f64 (pow.f64 alpha -3) 3) (pow.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 3)) 1) (fma.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (+.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) (*.f64 -8 (pow.f64 alpha -3))) (/.f64 64 (pow.f64 alpha 6)))) |
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(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(fma.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 2 alpha)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(fma.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) (sqrt.f64 (/.f64 2 alpha))) (sqrt.f64 (/.f64 2 alpha)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) |
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(fma.f64 (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4)))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4)))) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(fma.f64 (/.f64 2 alpha) (*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4)))) (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha)) |
(+.f64 0 (*.f64 8 (pow.f64 alpha -3))) |
(*.f64 8 (pow.f64 alpha -3)) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 8) (pow.f64 alpha -3))) (cbrt.f64 (pow.f64 (exp.f64 8) (pow.f64 alpha -3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8) (pow.f64 alpha -3))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8) (pow.f64 alpha -3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8) (pow.f64 alpha -3))))) |
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8) (pow.f64 alpha -3))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8) (pow.f64 alpha -3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8) (pow.f64 alpha -3))))) |
(*.f64 8 (pow.f64 alpha -3)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 8 (pow.f64 alpha -3)))) 1) |
(*.f64 8 (pow.f64 alpha -3)) |
(*.f64 8 (pow.f64 alpha -3)) |
(*.f64 8 (pow.f64 (pow.f64 alpha -1) 3)) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (*.f64 8 (pow.f64 alpha -3)) 1) |
(*.f64 8 (pow.f64 alpha -3)) |
(*.f64 2 (*.f64 (pow.f64 alpha -1) (*.f64 4 (pow.f64 alpha -2)))) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (/.f64 2 alpha) (*.f64 4 (pow.f64 alpha -2))) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (*.f64 4 (pow.f64 alpha -2)) (/.f64 2 alpha)) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 1 (*.f64 8 (pow.f64 alpha -3))) |
(*.f64 8 (pow.f64 alpha -3)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (*.f64 (cbrt.f64 (/.f64 2 alpha)) (*.f64 4 (pow.f64 alpha -2)))) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 4 (pow.f64 alpha -2)))) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2)) (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2))) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 -8 (/.f64 1 (neg.f64 (pow.f64 alpha 3)))) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (pow.f64 alpha -3) 8) |
(*.f64 8 (pow.f64 alpha -3)) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 2 alpha)) 3) (pow.f64 (sqrt.f64 (/.f64 2 alpha)) 3)) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (pow.f64 (/.f64 2 alpha) 3/2) (pow.f64 (/.f64 2 alpha) 3/2)) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha)) (*.f64 (sqrt.f64 (/.f64 2 alpha)) (/.f64 2 alpha))) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) 2) (pow.f64 alpha -1)) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (*.f64 (/.f64 2 alpha) 4) (pow.f64 alpha -2)) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) (cbrt.f64 (/.f64 2 alpha))) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (*.f64 (*.f64 4 (pow.f64 alpha -2)) (sqrt.f64 (/.f64 2 alpha))) (sqrt.f64 (/.f64 2 alpha))) |
(/.f64 8 (pow.f64 alpha 3)) |
(*.f64 (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4)))) (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))))) |
(*.f64 (/.f64 2 alpha) (*.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))))) |
(pow.f64 (*.f64 8 (pow.f64 alpha -3)) 1) |
(*.f64 8 (pow.f64 alpha -3)) |
(pow.f64 (/.f64 2 alpha) 3) |
(/.f64 8 (pow.f64 alpha 3)) |
(pow.f64 (/.f64 (sqrt.f64 8) (pow.f64 alpha 3/2)) 2) |
(/.f64 8 (pow.f64 alpha 3)) |
(pow.f64 (*.f64 512 (pow.f64 (pow.f64 alpha -3) 3)) 1/3) |
(cbrt.f64 (*.f64 512 (pow.f64 (pow.f64 alpha -3) 3))) |
(pow.f64 (*.f64 (pow.f64 alpha 3) 1/8) -1) |
(/.f64 8 (pow.f64 alpha 3)) |
(sqrt.f64 (/.f64 64 (pow.f64 alpha 6))) |
(log.f64 (pow.f64 (exp.f64 8) (pow.f64 alpha -3))) |
(*.f64 8 (pow.f64 alpha -3)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8 (pow.f64 alpha -3))))) |
(*.f64 8 (pow.f64 alpha -3)) |
(cbrt.f64 (*.f64 512 (pow.f64 (pow.f64 alpha -3) 3))) |
(expm1.f64 (log1p.f64 (*.f64 8 (pow.f64 alpha -3)))) |
(*.f64 8 (pow.f64 alpha -3)) |
(log1p.f64 (expm1.f64 (*.f64 8 (pow.f64 alpha -3)))) |
(*.f64 8 (pow.f64 alpha -3)) |
(exp.f64 (*.f64 3 (log.f64 (/.f64 2 alpha)))) |
(/.f64 8 (pow.f64 alpha 3)) |
(exp.f64 (*.f64 (log.f64 (/.f64 2 alpha)) 3)) |
(/.f64 8 (pow.f64 alpha 3)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 2 alpha))) 1)) |
(/.f64 8 (pow.f64 alpha 3)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) |
| ✓ | 1.6b | (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) |
| ✓ | 1.7b | (-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) 1) |
| 2.9b | (-.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) (/.f64 (-.f64 alpha (-.f64 -2 beta)) (-.f64 beta alpha)))) |
Compiled 220 to 116 computations (47.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | beta | @ | -inf | (-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) 1) |
| 3.0ms | beta | @ | inf | (-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) 1) |
| 3.0ms | beta | @ | 0 | (-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) 1) |
| 3.0ms | alpha | @ | 0 | (-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) 1) |
| 2.0ms | alpha | @ | inf | (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) |
| 1× | batch-egg-rewrite |
| 675× | log-prod_binary64 |
| 570× | fma-def_binary64 |
| 344× | fma-neg_binary64 |
| 258× | log-div_binary64 |
| 258× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 50 |
| 1 | 306 | 50 |
| 2 | 4395 | 50 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) 1) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))) |
(log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 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| 1× | egg-herbie |
| 670× | fma-def_binary64 |
| 474× | distribute-rgt-in_binary64 |
| 451× | distribute-lft-in_binary64 |
| 440× | associate-*r*_binary64 |
| 353× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 766 | 13219 |
| 1 | 2420 | 12290 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 1 (*.f64 -1 (*.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 (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 2) 2))) (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 alpha (+.f64 2 alpha)) 2))))) (*.f64 1/2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 2) 2)))) (+.f64 (/.f64 alpha (+.f64 2 alpha)) 2))) (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 1 (*.f64 -1 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))))) |
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) |
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(/.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) beta) |
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(+.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) |
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2 |
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha))) |
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2 |
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha))) |
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(+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) |
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) |
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(+.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 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 4)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)))))) |
(/.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) beta) |
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(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) (+.f64 2 alpha)) (pow.f64 beta 2))))) (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) |
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(+.f64 1 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) |
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(+.f64 1 (+.f64 (*.f64 -1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2))) (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))))) |
2 |
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha))) |
(+.f64 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 2 (*.f64 -1 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)))) |
(+.f64 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha))))) |
2 |
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha))) |
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 beta (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))))) |
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 beta (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2))))))) |
(log.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 2)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (/.f64 alpha (+.f64 2 alpha)) 2))) (log.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 2))) |
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (*.f64 2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)))) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))) |
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(/.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) beta) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) (+.f64 2 alpha))) (*.f64 -1 (pow.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) 2))) (pow.f64 beta 2))) (/.f64 alpha beta)) (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) (+.f64 2 alpha))) (*.f64 -1 (pow.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) 2))) (pow.f64 beta 2))) (+.f64 (/.f64 alpha beta) (*.f64 -1/6 (/.f64 (+.f64 (*.f64 -2 (pow.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) 3)) (+.f64 (*.f64 -6 (*.f64 (pow.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (*.f64 -6 (*.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 3))))) (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) (+.f64 2 alpha))) (*.f64 -1 (pow.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) 2))) (pow.f64 beta 2))) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 -2 (pow.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) 3)) (+.f64 (*.f64 -6 (*.f64 (pow.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) 2) (+.f64 2 alpha))) (*.f64 -6 (*.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 3))) (*.f64 1/24 (/.f64 (+.f64 (*.f64 -24 (*.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 -24 (*.f64 (pow.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -6 (pow.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) 4)) (+.f64 (*.f64 -12 (*.f64 (pow.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) 2) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -24 (*.f64 (pow.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) 3) (+.f64 2 alpha))))))) (pow.f64 beta 4)))))) (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) |
(log.f64 (+.f64 2 (*.f64 -1 (/.f64 beta (+.f64 beta 2))))) |
(+.f64 (log.f64 (+.f64 2 (*.f64 -1 (/.f64 beta (+.f64 beta 2))))) (*.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 2 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 2 (*.f64 -1 (/.f64 beta (+.f64 beta 2))))))))) |
(+.f64 (log.f64 (+.f64 2 (*.f64 -1 (/.f64 beta (+.f64 beta 2))))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 2) (+.f64 2 (*.f64 -1 (/.f64 beta (+.f64 beta 2))))))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 (+.f64 2 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) 2)))) (pow.f64 alpha 2))) (*.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 2 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 2 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))))))))) |
(+.f64 (log.f64 (+.f64 2 (*.f64 -1 (/.f64 beta (+.f64 beta 2))))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 2) (+.f64 2 (*.f64 -1 (/.f64 beta (+.f64 beta 2))))))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (pow.f64 (+.f64 2 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) 2)))) (pow.f64 alpha 2))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 3) (pow.f64 (+.f64 2 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) 3))) (+.f64 (*.f64 6 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (+.f64 2 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))))) (*.f64 6 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 (+.f64 beta 2) (pow.f64 (+.f64 2 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))) 2)))))) (pow.f64 alpha 3))) (*.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 2 (*.f64 -1 (/.f64 beta (+.f64 beta 2)))))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 2 (*.f64 -1 (/.f64 beta (+.f64 beta 2))))))))))) |
(log.f64 3) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (log.f64 3)) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/9 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (*.f64 2/3 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)))) (pow.f64 alpha 2))) (log.f64 3))) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -2/27 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 3)) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/9 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (*.f64 2/3 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)))) (pow.f64 alpha 2))) (log.f64 3)))) |
(log.f64 3) |
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(*.f64 (+.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 2) (+.f64 1 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 3)) (/.f64 1 (fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 1) 1))) |
(*.f64 (+.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 2) -1) (/.f64 1 (+.f64 1 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 1) (-.f64 (sqrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 1)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 2) (+.f64 1 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) (+.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 3) -1))) |
(/.f64 1 (/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 1) 1) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 3)))) |
(/.f64 1 (/.f64 (+.f64 1 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) (+.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 2) -1))) |
(/.f64 1 (/.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 3) -1) (+.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 2) (+.f64 1 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 3) -1) (+.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 2) (-.f64 1 (*.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) -1)))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 3)) (fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 1) 1)) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 2) -1) (+.f64 1 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 2) (+.f64 1 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 3))) (neg.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 1) 1))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 2) -1)) (neg.f64 (+.f64 1 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2))) (neg.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2) 1) (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 1)) |
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 1) |
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 3) |
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 2) |
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 3)) |
(expm1.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 1)) |
(fma.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 1) |
(fma.f64 1 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) -1) |
(fma.f64 1 (/.f64 beta (-.f64 (-.f64 -2 beta) alpha)) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) 1))) |
(fma.f64 beta (/.f64 1 (-.f64 (-.f64 -2 beta) alpha)) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) 1))) |
(fma.f64 (-.f64 beta alpha) (/.f64 1 (-.f64 (-.f64 -2 beta) alpha)) 1) |
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 1 1) |
(fma.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 1 -1) |
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (-.f64 (-.f64 -2 beta) alpha))) 1) |
(fma.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 2) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 2) (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 2) (*.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 1) -1) |
(fma.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 2) 1) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 1) |
(fma.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (-.f64 (-.f64 -2 beta) alpha))) 1) |
(fma.f64 (sqrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) (sqrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) -1) |
(fma.f64 (sqrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) (*.f64 (sqrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 1) -1) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 1) |
(fma.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (neg.f64 (-.f64 (-.f64 -2 beta) alpha))) 1) |
(fma.f64 (/.f64 1 (-.f64 (-.f64 -2 beta) alpha)) (-.f64 beta alpha) 1) |
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (-.f64 (-.f64 -2 beta) alpha))) (cbrt.f64 (/.f64 beta (-.f64 (-.f64 -2 beta) alpha)))) (cbrt.f64 (/.f64 beta (-.f64 (-.f64 -2 beta) alpha))) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) 1))) |
(fma.f64 (sqrt.f64 (/.f64 beta (-.f64 (-.f64 -2 beta) alpha))) (sqrt.f64 (/.f64 beta (-.f64 (-.f64 -2 beta) alpha))) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) 1))) |
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (-.f64 -2 beta) alpha) 2))) (/.f64 (-.f64 beta alpha) (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha))) 1) |
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (-.f64 -2 beta) alpha) 2))) (/.f64 beta (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) 1))) |
(fma.f64 (/.f64 1 (sqrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (-.f64 (-.f64 -2 beta) alpha))) 1) |
(fma.f64 (/.f64 1 (sqrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (/.f64 beta (sqrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) 1))) |
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (-.f64 (-.f64 -2 beta) alpha)) 1) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (-.f64 (-.f64 -2 beta) alpha)) 1) |
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) (cbrt.f64 (pow.f64 (-.f64 (-.f64 -2 beta) alpha) 2))) (cbrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 1) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (pow.f64 (-.f64 (-.f64 -2 beta) alpha) 2))) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha))) 1) |
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) (sqrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (-.f64 (-.f64 -2 beta) alpha))) 1) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (-.f64 (-.f64 -2 beta) alpha)) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) 1))) |
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (-.f64 (-.f64 -2 beta) alpha)) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) 1))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 (pow.f64 (-.f64 (-.f64 -2 beta) alpha) 2))) (/.f64 (cbrt.f64 beta) (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) 1))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 (pow.f64 (-.f64 (-.f64 -2 beta) alpha) 2))) (/.f64 (sqrt.f64 beta) (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) 1))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) 1))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) 1))) |
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 (+.f64 -2 beta) alpha) 4) 1) |
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (+.f64 (+.f64 -2 beta) alpha) 1) |
(fma.f64 (/.f64 beta (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 (+.f64 -2 beta) alpha) 4) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) 1))) |
(fma.f64 (/.f64 beta (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (+.f64 (+.f64 -2 beta) alpha) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) 1))) |
(+.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 0) |
(+.f64 0 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
(+.f64 (log.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) (log.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) (log.f64 (*.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 1))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) (log.f64 (sqrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) (log.f64 (*.f64 (sqrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 1))) |
(-.f64 (log1p.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 2) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))))) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) 1) |
(-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 2))) (log.f64 (-.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(*.f64 1 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
(*.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 1) |
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 2)) (cbrt.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) (sqrt.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(pow.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 1) |
(pow.f64 (pow.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 3) 1/3) |
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) 3) |
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) 2) |
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 2)) |
(log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) |
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 3)) |
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(exp.f64 (log.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) 1)) |
| Outputs |
|---|
(+.f64 1 (/.f64 alpha (+.f64 2 alpha))) |
(+.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 1 (*.f64 -1 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (neg.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))))))) |
(+.f64 1 (fma.f64 (neg.f64 beta) (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (/.f64 alpha (+.f64 alpha 2)))) |
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(fma.f64 (*.f64 1/2 (+.f64 (fma.f64 -2 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 (+.f64 2 beta) (+.f64 2 (neg.f64 (/.f64 beta (+.f64 2 beta)))))) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (pow.f64 (+.f64 2 (neg.f64 (/.f64 beta (+.f64 2 beta)))) 2)))) (pow.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 beta) (+.f64 2 (neg.f64 (/.f64 beta (+.f64 2 beta)))))) (/.f64 beta (*.f64 (+.f64 2 (neg.f64 (/.f64 beta (+.f64 2 beta)))) (pow.f64 (+.f64 2 beta) 2)))) 2))) (*.f64 (+.f64 2 (neg.f64 (/.f64 beta (+.f64 2 beta)))) (*.f64 alpha alpha)) (+.f64 1 (fma.f64 (fma.f64 1/6 (pow.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 beta) (+.f64 2 (neg.f64 (/.f64 beta (+.f64 2 beta)))))) (/.f64 beta (*.f64 (+.f64 2 (neg.f64 (/.f64 beta (+.f64 2 beta)))) (pow.f64 (+.f64 2 beta) 2)))) 3) (fma.f64 1/6 (fma.f64 2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 3) (pow.f64 (+.f64 2 (neg.f64 (/.f64 beta (+.f64 2 beta)))) 3)) (*.f64 6 (+.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (+.f64 2 (neg.f64 (/.f64 beta (+.f64 2 beta))))) (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 (+.f64 2 beta) (pow.f64 (+.f64 2 (neg.f64 (/.f64 beta (+.f64 2 beta)))) 2)))))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 2 beta) (+.f64 2 (neg.f64 (/.f64 beta (+.f64 2 beta)))))) (/.f64 beta (*.f64 (+.f64 2 (neg.f64 (/.f64 beta (+.f64 2 beta)))) (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 -2 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 (+.f64 2 beta) (+.f64 2 (neg.f64 (/.f64 beta (+.f64 2 beta)))))) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (pow.f64 (+.f64 2 (neg.f64 (/.f64 beta (+.f64 2 beta)))) 2)))))))) (*.f64 (+.f64 2 (neg.f64 (/.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 3)) (fma.f64 alpha (*.f64 (+.f64 2 (neg.f64 (/.f64 beta (+.f64 2 beta)))) (+.f64 (/.f64 1 (*.f64 (+.f64 2 beta) (+.f64 2 (neg.f64 (/.f64 beta (+.f64 2 beta)))))) (/.f64 beta (*.f64 (+.f64 2 (neg.f64 (/.f64 beta (+.f64 2 beta)))) (pow.f64 (+.f64 2 beta) 2))))) (neg.f64 (/.f64 beta (+.f64 2 beta))))))) |
(+.f64 (fma.f64 (*.f64 1/2 (+.f64 (-.f64 (*.f64 -2 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 (+.f64 2 beta) (-.f64 2 (/.f64 beta (+.f64 2 beta)))))) (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (pow.f64 (-.f64 2 (/.f64 beta (+.f64 2 beta))) 2))) (pow.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 2 beta)) (-.f64 2 (/.f64 beta (+.f64 2 beta)))) (/.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (-.f64 2 (/.f64 beta (+.f64 2 beta))))) 2))) (*.f64 alpha (*.f64 alpha (-.f64 2 (/.f64 beta (+.f64 2 beta))))) 1) (-.f64 (*.f64 (-.f64 2 (/.f64 beta (+.f64 2 beta))) (+.f64 (*.f64 (fma.f64 1/6 (pow.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 2 beta)) (-.f64 2 (/.f64 beta (+.f64 2 beta)))) (/.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (-.f64 2 (/.f64 beta (+.f64 2 beta))))) 3) (fma.f64 1/2 (*.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 2 beta)) (-.f64 2 (/.f64 beta (+.f64 2 beta)))) (/.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (-.f64 2 (/.f64 beta (+.f64 2 beta))))) (-.f64 (*.f64 -2 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 (+.f64 2 beta) (-.f64 2 (/.f64 beta (+.f64 2 beta)))))) (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (pow.f64 (-.f64 2 (/.f64 beta (+.f64 2 beta))) 2)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 3) (pow.f64 (-.f64 2 (/.f64 beta (+.f64 2 beta))) 3))) (*.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (-.f64 2 (/.f64 beta (+.f64 2 beta)))) (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 (+.f64 2 beta) (pow.f64 (-.f64 2 (/.f64 beta (+.f64 2 beta))) 2)))))))) (pow.f64 alpha 3)) (*.f64 alpha (+.f64 (/.f64 (/.f64 1 (+.f64 2 beta)) (-.f64 2 (/.f64 beta (+.f64 2 beta)))) (/.f64 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (-.f64 2 (/.f64 beta (+.f64 2 beta)))))))) (/.f64 beta (+.f64 2 beta)))) |
2 |
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha))) |
(+.f64 2 (neg.f64 (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) alpha))) |
(-.f64 2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) |
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (*.f64 3 (/.f64 (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/9 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (*.f64 2/3 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))))) (*.f64 1/18 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2))) (pow.f64 alpha 2))))) |
(+.f64 2 (fma.f64 -1 (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) alpha) (*.f64 3 (/.f64 (fma.f64 1/2 (fma.f64 -1/9 (pow.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) 2) (*.f64 2/3 (*.f64 (+.f64 2 beta) (-.f64 beta (neg.f64 (+.f64 2 beta)))))) (*.f64 (pow.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) 2) 1/18)) (*.f64 alpha alpha))))) |
(fma.f64 3 (/.f64 (fma.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) 1/18 (+.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) -1/18) (*.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) 1/3))) (*.f64 alpha alpha)) (-.f64 2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) |
(+.f64 2 (+.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 -2/27 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 3)) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (*.f64 -1/162 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 3)) (*.f64 -1/6 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 (*.f64 -1/9 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (*.f64 2/3 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)))))))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (*.f64 3 (/.f64 (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/9 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (*.f64 2/3 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))))) (*.f64 1/18 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2))) (pow.f64 alpha 2)))))) |
(+.f64 2 (fma.f64 3 (/.f64 (fma.f64 1/6 (fma.f64 -2/27 (pow.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) 3) (fma.f64 2/3 (*.f64 (+.f64 2 beta) (pow.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) 2)) (*.f64 -2 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (neg.f64 (+.f64 2 beta))))))) (fma.f64 -1/162 (pow.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) 3) (*.f64 (*.f64 -1/6 (-.f64 beta (neg.f64 (+.f64 2 beta)))) (fma.f64 -1/9 (pow.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) 2) (*.f64 2/3 (*.f64 (+.f64 2 beta) (-.f64 beta (neg.f64 (+.f64 2 beta))))))))) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) alpha) (*.f64 3 (/.f64 (fma.f64 1/2 (fma.f64 -1/9 (pow.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) 2) (*.f64 2/3 (*.f64 (+.f64 2 beta) (-.f64 beta (neg.f64 (+.f64 2 beta)))))) (*.f64 (pow.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) 2) 1/18)) (*.f64 alpha alpha)))))) |
(+.f64 2 (fma.f64 3 (/.f64 (fma.f64 1/6 (fma.f64 -2/27 (pow.f64 (+.f64 beta (+.f64 2 beta)) 3) (fma.f64 2/3 (*.f64 (+.f64 2 beta) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 (+.f64 beta (+.f64 2 beta)) -2)))) (fma.f64 -1/6 (+.f64 (*.f64 (+.f64 2 beta) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) 2/3)) (*.f64 -1/9 (pow.f64 (+.f64 beta (+.f64 2 beta)) 3))) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 3) -1/162))) (pow.f64 alpha 3)) (-.f64 (*.f64 (/.f64 3 alpha) (/.f64 (fma.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) 1/18 (+.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) -1/18) (*.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) 1/3))) alpha)) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))) |
2 |
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha))) |
(+.f64 2 (neg.f64 (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) alpha))) |
(-.f64 2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) |
(+.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 1/18 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (*.f64 1/2 (+.f64 (*.f64 -1/9 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (*.f64 -2/3 (+.f64 (*.f64 -1 (*.f64 beta (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))))))) (pow.f64 alpha 2))) (+.f64 2 (*.f64 -1 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)))) |
(+.f64 2 (fma.f64 -1 (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) alpha) (*.f64 3 (/.f64 (fma.f64 1/2 (fma.f64 -1/9 (pow.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) 2) (*.f64 2/3 (*.f64 (+.f64 2 beta) (-.f64 beta (neg.f64 (+.f64 2 beta)))))) (*.f64 (pow.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) 2) 1/18)) (*.f64 alpha alpha))))) |
(fma.f64 3 (/.f64 (fma.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) 1/18 (+.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) -1/18) (*.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) 1/3))) (*.f64 alpha alpha)) (-.f64 2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) |
(+.f64 (*.f64 -3 (/.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 2/3 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 2/27 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 3)) (*.f64 -2 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))))))) (+.f64 (*.f64 1/162 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 3)) (*.f64 1/6 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 (*.f64 -1/9 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (*.f64 -2/3 (+.f64 (*.f64 -1 (*.f64 beta (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))))))))) (pow.f64 alpha 3))) (+.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 1/18 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (*.f64 1/2 (+.f64 (*.f64 -1/9 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (*.f64 -2/3 (+.f64 (*.f64 -1 (*.f64 beta (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))))))) (pow.f64 alpha 2))) (+.f64 2 (*.f64 -1 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha))))) |
(fma.f64 -3 (/.f64 (fma.f64 1/6 (fma.f64 2/3 (*.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) (*.f64 -1 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 2/27 (pow.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) 3) (*.f64 -2 (fma.f64 -1 (pow.f64 (+.f64 2 beta) 3) (neg.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (fma.f64 1/162 (pow.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) 3) (*.f64 (*.f64 1/6 (-.f64 beta (neg.f64 (+.f64 2 beta)))) (fma.f64 -1/9 (pow.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) 2) (*.f64 -2/3 (*.f64 -1 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)))))))) (pow.f64 alpha 3)) (fma.f64 3 (/.f64 (fma.f64 1/18 (pow.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) 2) (*.f64 1/2 (fma.f64 -1/9 (pow.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) 2) (*.f64 -2/3 (*.f64 -1 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))))))) (*.f64 alpha alpha)) (+.f64 2 (neg.f64 (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) alpha))))) |
(fma.f64 -3 (/.f64 (fma.f64 1/6 (fma.f64 2/3 (*.f64 -1 (*.f64 (+.f64 2 beta) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2))) (fma.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 3) 2/27 (*.f64 2 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (+.f64 2 beta) beta))))) (fma.f64 1/6 (+.f64 (*.f64 (+.f64 2 beta) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) 2/3)) (*.f64 -1/9 (pow.f64 (+.f64 beta (+.f64 2 beta)) 3))) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 3) 1/162))) (pow.f64 alpha 3)) (fma.f64 3 (/.f64 (fma.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) 1/18 (+.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) -1/18) (*.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta))) 1/3))) (*.f64 alpha alpha)) (-.f64 2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))) |
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 1) |
(+.f64 1 (/.f64 alpha (+.f64 alpha 2))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (neg.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))))))) |
(+.f64 1 (fma.f64 (neg.f64 beta) (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (*.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 1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (fma.f64 -1 (*.f64 beta (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)))) (neg.f64 (*.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))))))) |
(+.f64 1 (fma.f64 -1 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta (*.f64 beta (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)))))) (/.f64 alpha (+.f64 alpha 2)))) |
(+.f64 (*.f64 -1 (*.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 1 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (*.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))))))))) |
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) |
(neg.f64 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta)) |
(/.f64 (neg.f64 (-.f64 (-.f64 -2 alpha) alpha)) beta) |
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(/.f64 (-.f64 alpha (*.f64 -1 (+.f64 2 alpha))) beta) |
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(/.f64 (+.f64 alpha (+.f64 alpha 2)) beta) |
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2 |
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(+.f64 2 (neg.f64 (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) alpha))) |
(-.f64 2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) |
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2 |
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha))) |
(+.f64 2 (neg.f64 (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) alpha))) |
(-.f64 2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) |
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(-.f64 (-.f64 2 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) (/.f64 (neg.f64 (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta)))) (*.f64 alpha alpha))) |
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(log.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 2)) |
(log.f64 (+.f64 2 (/.f64 alpha (+.f64 alpha 2)))) |
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(fma.f64 -1 (/.f64 beta (/.f64 (+.f64 2 (/.f64 alpha (+.f64 alpha 2))) (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))))) (log.f64 (+.f64 2 (/.f64 alpha (+.f64 alpha 2))))) |
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(log.f64 3) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (log.f64 3)) |
(fma.f64 -1/3 (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) alpha) (log.f64 3)) |
(fma.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1/3 (log.f64 3)) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/9 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (*.f64 2/3 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)))) (pow.f64 alpha 2))) (log.f64 3))) |
(fma.f64 -1/3 (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) alpha) (fma.f64 1/2 (/.f64 (fma.f64 -1/9 (pow.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) 2) (*.f64 2/3 (*.f64 (+.f64 2 beta) (-.f64 beta (neg.f64 (+.f64 2 beta)))))) (*.f64 alpha alpha)) (log.f64 3))) |
(fma.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1/3 (fma.f64 1/2 (/.f64 (fma.f64 -1/9 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) (*.f64 (+.f64 beta (+.f64 2 beta)) (*.f64 (+.f64 2 beta) 2/3))) (*.f64 alpha alpha)) (log.f64 3))) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -2/27 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 3)) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/9 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (*.f64 2/3 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)))) (pow.f64 alpha 2))) (log.f64 3)))) |
(fma.f64 -1/3 (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) alpha) (fma.f64 1/6 (/.f64 (fma.f64 -2/27 (pow.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) 3) (fma.f64 2/3 (*.f64 (+.f64 2 beta) (pow.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) 2)) (*.f64 -2 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (neg.f64 (+.f64 2 beta))))))) (pow.f64 alpha 3)) (fma.f64 1/2 (/.f64 (fma.f64 -1/9 (pow.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) 2) (*.f64 2/3 (*.f64 (+.f64 2 beta) (-.f64 beta (neg.f64 (+.f64 2 beta)))))) (*.f64 alpha alpha)) (log.f64 3)))) |
(fma.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1/3 (fma.f64 1/6 (/.f64 (fma.f64 -2/27 (pow.f64 (+.f64 beta (+.f64 2 beta)) 3) (fma.f64 2/3 (*.f64 (+.f64 2 beta) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 (+.f64 beta (+.f64 2 beta)) -2)))) (pow.f64 alpha 3)) (fma.f64 1/2 (/.f64 (fma.f64 -1/9 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) (*.f64 (+.f64 beta (+.f64 2 beta)) (*.f64 (+.f64 2 beta) 2/3))) (*.f64 alpha alpha)) (log.f64 3)))) |
(log.f64 3) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (log.f64 3)) |
(fma.f64 -1/3 (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) alpha) (log.f64 3)) |
(fma.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1/3 (log.f64 3)) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/9 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (*.f64 -2/3 (+.f64 (*.f64 -1 (*.f64 beta (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2))) (log.f64 3))) |
(fma.f64 -1/3 (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) alpha) (fma.f64 1/2 (/.f64 (fma.f64 -1/9 (pow.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) 2) (*.f64 2/3 (*.f64 (+.f64 2 beta) (-.f64 beta (neg.f64 (+.f64 2 beta)))))) (*.f64 alpha alpha)) (log.f64 3))) |
(fma.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1/3 (fma.f64 1/2 (/.f64 (fma.f64 -1/9 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) (*.f64 (+.f64 beta (+.f64 2 beta)) (*.f64 (+.f64 2 beta) 2/3))) (*.f64 alpha alpha)) (log.f64 3))) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/9 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (*.f64 -2/3 (+.f64 (*.f64 -1 (*.f64 beta (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 2/3 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 2/27 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 3)) (*.f64 -2 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))))))) (pow.f64 alpha 3))) (log.f64 3)))) |
(fma.f64 -1/3 (/.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) alpha) (fma.f64 1/2 (/.f64 (fma.f64 -1/9 (pow.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) 2) (*.f64 -2/3 (*.f64 -1 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))))) (*.f64 alpha alpha)) (fma.f64 -1/6 (/.f64 (fma.f64 2/3 (*.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) (*.f64 -1 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 2/27 (pow.f64 (-.f64 beta (neg.f64 (+.f64 2 beta))) 3) (*.f64 -2 (fma.f64 -1 (pow.f64 (+.f64 2 beta) 3) (neg.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (pow.f64 alpha 3)) (log.f64 3)))) |
(fma.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1/3 (fma.f64 1/2 (/.f64 (fma.f64 -1/9 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) (*.f64 (+.f64 beta (+.f64 2 beta)) (*.f64 (+.f64 2 beta) 2/3))) (*.f64 alpha alpha)) (fma.f64 -1/6 (/.f64 (fma.f64 2/3 (*.f64 -1 (*.f64 (+.f64 2 beta) (pow.f64 (+.f64 beta (+.f64 2 beta)) 2))) (fma.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 3) 2/27 (*.f64 2 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (+.f64 2 beta) beta))))) (pow.f64 alpha 3)) (log.f64 3)))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) |
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(+.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) -1) |
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(+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) |
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(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 1) |
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(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 2)) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
(+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) |
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) 2) |
(*.f64 (+.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 2) (+.f64 1 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) 2) (+.f64 3 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) 3)) (+.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) 2) (+.f64 3 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 3)) (/.f64 1 (fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 1) 1))) |
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))) 3)) (/.f64 1 (fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))) -1) 1))) |
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))) 3)) (fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))) -1) 1)) |
(*.f64 (+.f64 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 2) -1) (/.f64 1 (+.f64 1 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) 2)) (/.f64 1 (+.f64 3 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) 2)) (+.f64 3 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)) 2)) (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
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(fma.f64 (/.f64 1 (sqrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (-.f64 (-.f64 -2 beta) alpha))) 1) |
(fma.f64 (/.f64 1 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) 1) |
(fma.f64 (/.f64 1 (sqrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (/.f64 beta (sqrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) 1))) |
(fma.f64 (/.f64 1 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (/.f64 beta (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (neg.f64 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) -1))) |
(-.f64 (*.f64 (/.f64 1 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (/.f64 beta (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))))) (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) -1)) |
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (-.f64 (-.f64 -2 beta) alpha)) 1) |
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) (*.f64 (/.f64 1 (-.f64 -2 (+.f64 alpha beta))) (cbrt.f64 (-.f64 beta alpha))) 1) |
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 alpha beta))) 1) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (-.f64 (-.f64 -2 beta) alpha)) 1) |
(fma.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (/.f64 1 (-.f64 -2 (+.f64 alpha beta))) (sqrt.f64 (-.f64 beta alpha))) 1) |
(fma.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 alpha beta))) 1) |
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) (cbrt.f64 (pow.f64 (-.f64 (-.f64 -2 beta) alpha) 2))) (cbrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 1) |
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) (cbrt.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))) (cbrt.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) 1) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (pow.f64 (-.f64 (-.f64 -2 beta) alpha) 2))) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha))) 1) |
(fma.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta)))) 1) |
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) (sqrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (-.f64 (-.f64 -2 beta) alpha))) 1) |
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 beta alpha) 2)) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) 1) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (-.f64 (-.f64 -2 beta) alpha)) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) 1))) |
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (cbrt.f64 beta) (-.f64 -2 (+.f64 alpha beta))) (neg.f64 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) -1))) |
(-.f64 (*.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (cbrt.f64 beta) (-.f64 -2 (+.f64 alpha beta)))) (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) -1)) |
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (-.f64 (-.f64 -2 beta) alpha)) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) 1))) |
(fma.f64 (sqrt.f64 beta) (/.f64 (sqrt.f64 beta) (-.f64 -2 (+.f64 alpha beta))) (neg.f64 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) -1))) |
(-.f64 (*.f64 (sqrt.f64 beta) (/.f64 (sqrt.f64 beta) (-.f64 -2 (+.f64 alpha beta)))) (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) -1)) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 (pow.f64 (-.f64 (-.f64 -2 beta) alpha) 2))) (/.f64 (cbrt.f64 beta) (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) 1))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))) (/.f64 (cbrt.f64 beta) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (neg.f64 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) -1))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (cbrt.f64 beta) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))) (cbrt.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))) (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) -1)) |
(fma.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 (pow.f64 (-.f64 (-.f64 -2 beta) alpha) 2))) (/.f64 (sqrt.f64 beta) (cbrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) 1))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))) (/.f64 (sqrt.f64 beta) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (neg.f64 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) -1))) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 beta) (cbrt.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))) (/.f64 (sqrt.f64 beta) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))) (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) -1)) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) 1))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (neg.f64 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) -1))) |
(-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))))) (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) -1)) |
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (-.f64 (-.f64 -2 beta) alpha))) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) 1))) |
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (neg.f64 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) -1))) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))))) (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) -1)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 (+.f64 -2 beta) alpha) 4) 1) |
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta -2)) 4) 1) |
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))) (fma.f64 (+.f64 alpha beta) (+.f64 -2 (+.f64 alpha beta)) 4) 1) |
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (+.f64 (+.f64 -2 beta) alpha) 1) |
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta -2)) 1) |
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (+.f64 -2 (+.f64 alpha beta)) 1) |
(fma.f64 (/.f64 beta (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 (+.f64 -2 beta) alpha) 4) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) 1))) |
(fma.f64 (/.f64 beta (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta -2)) 4) (neg.f64 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) -1))) |
(-.f64 (*.f64 (/.f64 beta (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))) (fma.f64 (+.f64 alpha beta) (+.f64 -2 (+.f64 alpha beta)) 4)) (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) -1)) |
(fma.f64 (/.f64 beta (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (+.f64 (+.f64 -2 beta) alpha) (neg.f64 (-.f64 (/.f64 alpha (-.f64 (-.f64 -2 beta) alpha)) 1))) |
(fma.f64 (/.f64 beta (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta -2)) (neg.f64 (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) -1))) |
(-.f64 (*.f64 (/.f64 beta (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (+.f64 -2 (+.f64 alpha beta))) (+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) -1)) |
(+.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 0) |
(log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(+.f64 0 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
(log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(+.f64 (log.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))))) |
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) (log.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) (log.f64 (*.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 1))) |
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) (log.f64 (sqrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) (log.f64 (*.f64 (sqrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 1))) |
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))))) |
(-.f64 (log1p.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 2) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))))) |
(-.f64 (log1p.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) 3)) (log1p.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) 2) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))))) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) 1) |
(log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))) 2))) (log.f64 (-.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) 2))) (log.f64 (-.f64 0 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))) |
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))) 2))) (log.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 -2 (+.f64 alpha beta))))) |
(*.f64 1 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) |
(log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(*.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 1) |
(log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 2))) |
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 2)) (cbrt.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) 2))) |
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) (sqrt.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))))) |
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))))) |
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(pow.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 1) |
(log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(pow.f64 (pow.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 3) 1/3) |
(log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) 3) |
(log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) 2) |
(log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 2)) |
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) 2)) |
(fabs.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))) |
(log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) |
(log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))) 3)) |
(log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(exp.f64 (log.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha)))))) |
(log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 beta) alpha))))) 1)) |
(log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))) |
Compiled 61101 to 44126 computations (27.8% saved)
22 alts after pruning (16 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1400 | 4 | 1404 |
| Fresh | 0 | 12 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 6 | 9 |
| Total | 1404 | 22 | 1426 |
| Status | Error | Program |
|---|---|---|
| 17.9b | (/.f64 (fma.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 beta alpha) 1) 2) | |
| 33.3b | (/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) 3) (-.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) 2) | |
| 49.5b | (/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) | |
| 33.6b | (/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) (/.f64 (-.f64 alpha (-.f64 -2 beta)) (-.f64 beta alpha)))) (-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1))) 1)) 2) | |
| 32.3b | (/.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (*.f64 alpha alpha) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2))))) 2) | |
| 31.4b | (/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2) | |
| ✓ | 45.4b | (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
| 31.4b | (/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) 2) | |
| ✓ | 48.6b | (/.f64 (/.f64 2 alpha) 2) |
| 49.5b | (/.f64 (-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) 2) | |
| ✓ | 31.3b | (/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| 32.9b | (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) | |
| ✓ | 16.3b | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 17.4b | (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) | |
| 49.3b | (/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) | |
| 45.4b | (/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) | |
| 45.6b | (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) | |
| 31.0b | (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 3)) (/.f64 1 (+.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 alpha 2)) 1)))) 2) | |
| 58.4b | (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) | |
| 49.4b | (/.f64 (exp.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (fma.f64 1/6 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 3) -2) (pow.f64 alpha 3)) (-.f64 (log.f64 (+.f64 beta (+.f64 2 beta))) (log.f64 alpha)))))) 2) | |
| ✓ | 40.8b | (/.f64 2 2) |
| ✓ | 31.9b | (/.f64 1 2) |
Compiled 474 to 353 computations (25.5% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) |
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2) |
(/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) (/.f64 (-.f64 alpha (-.f64 -2 beta)) (-.f64 beta alpha)))) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta)))) 2) |
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 beta alpha) 1) 2) |
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2) |
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) |
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2) |
(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta)))) 2) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))) 2) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 3)) (/.f64 1 (+.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 alpha 2)) 1)))) 2) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 3)) (/.f64 1 (+.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))))) 2) |
(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))))) 2) |
(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2) |
(/.f64 (-.f64 (+.f64 (/.f64 2 alpha) (/.f64 8 (pow.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 4)))) 2) |
(/.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (-.f64 (/.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))) (*.f64 (/.f64 beta alpha) (/.f64 (+.f64 2 beta) alpha))) 2) |
(/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) (/.f64 (-.f64 alpha (-.f64 -2 beta)) (-.f64 beta alpha)))) (-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) 1))) 1)) 2) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2) (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta))))) 2) |
(/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) (/.f64 (-.f64 alpha (-.f64 -2 beta)) (-.f64 beta alpha)))) (-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) 1)) 2) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)))))) 2) |
(/.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))) (/.f64 (*.f64 alpha alpha) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2))))) 2) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (-.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) 2) |
(/.f64 (exp.f64 (+.f64 (-.f64 (log.f64 (+.f64 beta (+.f64 2 beta))) (log.f64 alpha)) (/.f64 (-.f64 -2 beta) alpha))) 2) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha)))))) 3) 2) |
(/.f64 (+.f64 (fma.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2) (*.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha))) (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha))) 2) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) 2))) 3) (-.f64 (/.f64 1 (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))))) 2) |
(/.f64 (exp.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (fma.f64 1/6 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 3) -2) (pow.f64 alpha 3)) (-.f64 (log.f64 (+.f64 beta (+.f64 2 beta))) (log.f64 alpha)))))) 2) |
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 beta) alpha) 3) (+.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) (-.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (fma.f64 beta (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 4))))) 2) |
| Outputs |
|---|
(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
5 calls:
| 41.0ms | alpha |
| 19.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 18.0ms | beta |
| 7.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 7.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| Error | Segments | Branch |
|---|---|---|
| 2.2b | 2 | alpha |
| 16.3b | 1 | beta |
| 0.1b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.1b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.1b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 1036 to 678 computations (34.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.999999984623662 | -0.9997393158585377 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) |
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (-.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) 2) |
(/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 alpha (-.f64 -2 beta))) (/.f64 (-.f64 alpha (-.f64 -2 beta)) (-.f64 beta alpha)))) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 (-.f64 -2 alpha) beta)))) 2) |
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 beta alpha) 1) 2) |
(/.f64 (fma.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha) 1) 2) |
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha)) 2) |
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
5 calls:
| 18.0ms | alpha |
| 12.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
| 10.0ms | beta |
| 5.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 5.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| Error | Segments | Branch |
|---|---|---|
| 2.2b | 2 | alpha |
| 16.3b | 1 | beta |
| 0.1b | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2) |
| 0.1b | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) |
| 0.1b | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) |
Compiled 282 to 202 computations (28.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.0 | -0.999999984623662 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) |
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) |
2 calls:
| 13.0ms | alpha |
| 8.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 3.2b | 2 | alpha |
| 17.4b | 1 | beta |
Compiled 111 to 87 computations (21.6% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 6.82489036244419e+39 | 2.298111092271609e+40 |
| 8.0ms | 80× | body | 256 | valid |
Compiled 160 to 130 computations (18.8% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2) |
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2) |
2 calls:
| 13.0ms | alpha |
| 7.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 3.2b | 2 | alpha |
| 17.4b | 1 | beta |
Compiled 98 to 78 computations (20.4% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 6.82489036244419e+39 | 2.298111092271609e+40 |
| 8.0ms | 80× | body | 256 | valid |
Compiled 140 to 110 computations (21.4% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
2 calls:
| 9.0ms | alpha |
| 6.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 6.7b | 2 | alpha |
| 17.4b | 1 | beta |
Compiled 56 to 46 computations (17.9% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 6.82489036244419e+39 | 2.298111092271609e+40 |
| 8.0ms | 80× | body | 256 | valid |
Compiled 120 to 100 computations (16.7% saved)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2) |
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) |
| Outputs |
|---|
(/.f64 1 2) |
(/.f64 (/.f64 2 alpha) 2) |
(/.f64 1 2) |
(/.f64 2 2) |
2 calls:
| 17.0ms | beta |
| 16.0ms | alpha |
| Error | Segments | Branch |
|---|---|---|
| 17.9b | 4 | alpha |
| 17.3b | 4 | beta |
Compiled 38 to 32 computations (15.8% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.0002535967508735061 | 66.76946678046785 |
| 17.0ms | -3.809327173829216e-107 | -7.467046086337442e-110 |
| 13.0ms | -1.345302563503457e-72 | -1.352475695720237e-73 |
| 29.0ms | 289× | body | 256 | valid |
| 11.0ms | 46× | body | 1024 | valid |
| 4.0ms | 25× | body | 512 | valid |
| 2.0ms | 8× | body | 2048 | valid |
Compiled 324 to 305 computations (5.9% saved)
Total -43.5b remaining (-237.3%)
Threshold costs -43.5b (-237.3%)
| Inputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
(/.f64 (+.f64 -1 1) 2) |
| Outputs |
|---|
(/.f64 1 2) |
(/.f64 2 2) |
2 calls:
| 12.0ms | alpha |
| 7.0ms | beta |
| Error | Segments | Branch |
|---|---|---|
| 28.7b | 4 | alpha |
| 18.3b | 2 | beta |
Compiled 19 to 17 computations (10.5% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.0002535967508735061 | 66.76946678046785 |
| 11.0ms | 111× | body | 256 | valid |
| 4.0ms | 19× | body | 1024 | valid |
| 1.0ms | 9× | body | 512 | valid |
| 1.0ms | 5× | body | 2048 | valid |
Compiled 128 to 123 computations (3.9% saved)
| 1× | egg-herbie |
| 12× | +-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 4× | *-commutative_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 258 |
| 1 | 74 | 258 |
| 2 | 81 | 258 |
| 3 | 85 | 258 |
| 4 | 87 | 258 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -2251349453722511/2251799813685248) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)) |
(if (<=.f64 alpha 7000000000000000333542801860365484294144) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2)) |
(if (<=.f64 alpha 7000000000000000333542801860365484294144) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)) |
(if (<=.f64 alpha 7000000000000000333542801860365484294144) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2)) |
(if (<=.f64 beta -5092589940836215/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584) (/.f64 1 2) (if (<=.f64 beta -3140015851753681/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032) (/.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)) -2251349453722511/2251799813685248) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 beta beta) 2) 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)) -2251349453722511/2251799813685248) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha) (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 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 alpha)) (*.f64 2 (/.f64 1 alpha))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) |
(if (<=.f64 alpha 7000000000000000333542801860365484294144) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2)) |
(if (<=.f64 alpha 7000000000000000333542801860365484294144) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2)) |
(if (<=.f64 alpha 7000000000000000333542801860365484294144) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 (+.f64 beta beta) 2) alpha) 2)) |
(if (<=.f64 alpha 7000000000000000333542801860365484294144) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2)) |
(if (<=.f64 alpha 7000000000000000333542801860365484294144) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2)) |
(if (<=.f64 alpha 7000000000000000333542801860365484294144) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2)) |
(if (<=.f64 beta -5092589940836215/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584) (/.f64 1 2) (if (<=.f64 beta -3140015851753681/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2)))) |
(if (<=.f64 beta -5092589940836215/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584) 1/2 (if (<=.f64 beta -3140015851753681/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032) (/.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 194 to 142 computations (26.8% saved)
| 1× | egg-herbie |
| 736× | fma-neg_binary64 |
| 426× | unswap-sqr_binary64 |
| 320× | sub-neg_binary64 |
| 262× | fma-def_binary64 |
| 229× | +-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 477 | 5450 |
| 1 | 1351 | 5259 |
| 2 | 4845 | 5165 |
| 1× | node limit |
Compiled 1381 to 991 computations (28.2% saved)
Compiled 180 to 124 computations (31.1% saved)
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